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-rw-r--r--external/include/glm/gtx/associated_min_max.hpp202
-rw-r--r--external/include/glm/gtx/associated_min_max.inl355
-rw-r--r--external/include/glm/gtx/bit.hpp95
-rw-r--r--external/include/glm/gtx/bit.inl93
-rw-r--r--external/include/glm/gtx/closest_point.hpp45
-rw-r--r--external/include/glm/gtx/closest_point.inl46
-rw-r--r--external/include/glm/gtx/color_space.hpp68
-rw-r--r--external/include/glm/gtx/color_space.inl141
-rw-r--r--external/include/glm/gtx/color_space_YCoCg.hpp56
-rw-r--r--external/include/glm/gtx/color_space_YCoCg.inl108
-rw-r--r--external/include/glm/gtx/common.hpp53
-rw-r--r--external/include/glm/gtx/common.inl112
-rw-r--r--external/include/glm/gtx/compatibility.hpp130
-rw-r--r--external/include/glm/gtx/compatibility.inl65
-rw-r--r--external/include/glm/gtx/component_wise.hpp65
-rw-r--r--external/include/glm/gtx/component_wise.inl128
-rw-r--r--external/include/glm/gtx/dual_quaternion.hpp266
-rw-r--r--external/include/glm/gtx/dual_quaternion.inl351
-rw-r--r--external/include/glm/gtx/euler_angles.hpp143
-rw-r--r--external/include/glm/gtx/euler_angles.inl312
-rw-r--r--external/include/glm/gtx/extend.hpp38
-rw-r--r--external/include/glm/gtx/extend.inl49
-rw-r--r--external/include/glm/gtx/extended_min_max.hpp133
-rw-r--r--external/include/glm/gtx/extended_min_max.inl140
-rw-r--r--external/include/glm/gtx/fast_exponential.hpp91
-rw-r--r--external/include/glm/gtx/fast_exponential.inl137
-rw-r--r--external/include/glm/gtx/fast_square_root.hpp88
-rw-r--r--external/include/glm/gtx/fast_square_root.inl81
-rw-r--r--external/include/glm/gtx/fast_trigonometry.hpp75
-rw-r--r--external/include/glm/gtx/fast_trigonometry.inl143
-rw-r--r--external/include/glm/gtx/float_notmalize.inl14
-rw-r--r--external/include/glm/gtx/gradient_paint.hpp48
-rw-r--r--external/include/glm/gtx/gradient_paint.inl37
-rw-r--r--external/include/glm/gtx/handed_coordinate_space.hpp46
-rw-r--r--external/include/glm/gtx/handed_coordinate_space.inl27
-rw-r--r--external/include/glm/gtx/hash.hpp134
-rw-r--r--external/include/glm/gtx/hash.inl185
-rw-r--r--external/include/glm/gtx/integer.hpp72
-rw-r--r--external/include/glm/gtx/integer.inl182
-rw-r--r--external/include/glm/gtx/intersect.hpp87
-rw-r--r--external/include/glm/gtx/intersect.inl170
-rw-r--r--external/include/glm/gtx/io.hpp197
-rw-r--r--external/include/glm/gtx/io.inl441
-rw-r--r--external/include/glm/gtx/log_base.hpp44
-rw-r--r--external/include/glm/gtx/log_base.inl18
-rw-r--r--external/include/glm/gtx/matrix_cross_product.hpp43
-rw-r--r--external/include/glm/gtx/matrix_cross_product.inl38
-rw-r--r--external/include/glm/gtx/matrix_decompose.hpp42
-rw-r--r--external/include/glm/gtx/matrix_decompose.inl194
-rw-r--r--external/include/glm/gtx/matrix_interpolation.hpp61
-rw-r--r--external/include/glm/gtx/matrix_interpolation.inl134
-rw-r--r--external/include/glm/gtx/matrix_major_storage.hpp115
-rw-r--r--external/include/glm/gtx/matrix_major_storage.inl167
-rw-r--r--external/include/glm/gtx/matrix_operation.hpp84
-rw-r--r--external/include/glm/gtx/matrix_operation.inl118
-rw-r--r--external/include/glm/gtx/matrix_query.hpp73
-rw-r--r--external/include/glm/gtx/matrix_query.inl114
-rw-r--r--external/include/glm/gtx/matrix_transform_2d.hpp78
-rw-r--r--external/include/glm/gtx/matrix_transform_2d.inl69
-rw-r--r--external/include/glm/gtx/mixed_product.hpp37
-rw-r--r--external/include/glm/gtx/mixed_product.inl16
-rw-r--r--external/include/glm/gtx/norm.hpp86
-rw-r--r--external/include/glm/gtx/norm.inl106
-rw-r--r--external/include/glm/gtx/normal.hpp39
-rw-r--r--external/include/glm/gtx/normal.inl16
-rw-r--r--external/include/glm/gtx/normalize_dot.hpp45
-rw-r--r--external/include/glm/gtx/normalize_dot.inl17
-rw-r--r--external/include/glm/gtx/number_precision.hpp57
-rw-r--r--external/include/glm/gtx/number_precision.inl7
-rw-r--r--external/include/glm/gtx/optimum_pow.hpp50
-rw-r--r--external/include/glm/gtx/optimum_pow.inl23
-rw-r--r--external/include/glm/gtx/orthonormalize.hpp45
-rw-r--r--external/include/glm/gtx/orthonormalize.inl30
-rw-r--r--external/include/glm/gtx/perpendicular.hpp39
-rw-r--r--external/include/glm/gtx/perpendicular.inl15
-rw-r--r--external/include/glm/gtx/polar_coordinates.hpp44
-rw-r--r--external/include/glm/gtx/polar_coordinates.inl37
-rw-r--r--external/include/glm/gtx/projection.hpp36
-rw-r--r--external/include/glm/gtx/projection.inl11
-rw-r--r--external/include/glm/gtx/quaternion.hpp185
-rw-r--r--external/include/glm/gtx/quaternion.inl212
-rw-r--r--external/include/glm/gtx/range.hpp85
-rw-r--r--external/include/glm/gtx/raw_data.hpp47
-rw-r--r--external/include/glm/gtx/raw_data.inl2
-rw-r--r--external/include/glm/gtx/rotate_normalized_axis.hpp64
-rw-r--r--external/include/glm/gtx/rotate_normalized_axis.inl59
-rw-r--r--external/include/glm/gtx/rotate_vector.hpp117
-rw-r--r--external/include/glm/gtx/rotate_vector.inl188
-rw-r--r--external/include/glm/gtx/scalar_multiplication.hpp69
-rw-r--r--external/include/glm/gtx/scalar_relational.hpp32
-rw-r--r--external/include/glm/gtx/scalar_relational.inl89
-rw-r--r--external/include/glm/gtx/simd_mat4.hpp182
-rw-r--r--external/include/glm/gtx/simd_mat4.inl577
-rw-r--r--external/include/glm/gtx/simd_quat.hpp307
-rw-r--r--external/include/glm/gtx/simd_quat.inl620
-rw-r--r--external/include/glm/gtx/simd_vec4.hpp546
-rw-r--r--external/include/glm/gtx/simd_vec4.inl721
-rw-r--r--external/include/glm/gtx/spline.hpp61
-rw-r--r--external/include/glm/gtx/spline.inl63
-rw-r--r--external/include/glm/gtx/std_based_type.hpp63
-rw-r--r--external/include/glm/gtx/std_based_type.inl7
-rw-r--r--external/include/glm/gtx/string_cast.hpp47
-rw-r--r--external/include/glm/gtx/string_cast.inl458
-rw-r--r--external/include/glm/gtx/transform.hpp56
-rw-r--r--external/include/glm/gtx/transform.inl24
-rw-r--r--external/include/glm/gtx/transform2.hpp107
-rw-r--r--external/include/glm/gtx/transform2.inl126
-rw-r--r--external/include/glm/gtx/type_aligned.hpp966
-rw-r--r--external/include/glm/gtx/type_aligned.inl7
-rw-r--r--external/include/glm/gtx/type_trait.hpp252
-rw-r--r--external/include/glm/gtx/type_trait.inl0
-rw-r--r--external/include/glm/gtx/vector_angle.hpp60
-rw-r--r--external/include/glm/gtx/vector_angle.inl58
-rw-r--r--external/include/glm/gtx/vector_query.hpp62
-rw-r--r--external/include/glm/gtx/vector_query.inl193
-rw-r--r--external/include/glm/gtx/wrap.hpp51
-rw-r--r--external/include/glm/gtx/wrap.inl58
117 files changed, 14418 insertions, 0 deletions
diff --git a/external/include/glm/gtx/associated_min_max.hpp b/external/include/glm/gtx/associated_min_max.hpp
new file mode 100644
index 0000000..eb9d721
--- /dev/null
+++ b/external/include/glm/gtx/associated_min_max.hpp
@@ -0,0 +1,202 @@
+/// @ref gtx_associated_min_max
+/// @file glm/gtx/associated_min_max.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_associated_min_max GLM_GTX_associated_min_max
+/// @ingroup gtx
+///
+/// @brief Min and max functions that return associated values not the compared onces.
+/// <glm/gtx/associated_min_max.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_associated_min_max extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_associated_min_max
+ /// @{
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P>
+ GLM_FUNC_DECL U associatedMin(T x, U a, T y, U b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL tvec2<U, P> associatedMin(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ T x, const vecType<U, P>& a,
+ T y, const vecType<U, P>& b);
+
+ /// Minimum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b);
+
+ /// Minimum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMin(
+ T x, U a,
+ T y, U b,
+ T z, U c);
+
+ /// Minimum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMin(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c,
+ vecType<T, P> const & w, vecType<U, P> const & d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c,
+ T w, vecType<U, P> const & d);
+
+ /// Minimum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMin(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c,
+ vecType<T, P> const & w, U d);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(T x, U a, T y, U b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL tvec2<U, P> associatedMax(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> associatedMax(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b);
+
+ /// Maximum comparison between 2 variables and returns 2 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(
+ T x, U a,
+ T y, U b,
+ T z, U c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> associatedMax(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c);
+
+ /// Maximum comparison between 3 variables and returns 3 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U>
+ GLM_FUNC_DECL U associatedMax(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c,
+ vecType<T, P> const & w, vecType<U, P> const & d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c,
+ T w, vecType<U, P> const & d);
+
+ /// Maximum comparison between 4 variables and returns 4 associated variable values
+ /// @see gtx_associated_min_max
+ template<typename T, typename U, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<U, P> associatedMax(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c,
+ vecType<T, P> const & w, U d);
+
+ /// @}
+} //namespace glm
+
+#include "associated_min_max.inl"
diff --git a/external/include/glm/gtx/associated_min_max.inl b/external/include/glm/gtx/associated_min_max.inl
new file mode 100644
index 0000000..6a57d48
--- /dev/null
+++ b/external/include/glm/gtx/associated_min_max.inl
@@ -0,0 +1,355 @@
+/// @ref gtx_associated_min_max
+/// @file glm/gtx/associated_min_max.inl
+
+namespace glm{
+
+// Min comparison between 2 variables
+template<typename T, typename U, precision P>
+GLM_FUNC_QUALIFIER U associatedMin(T x, U a, T y, U b)
+{
+ return x < y ? a : b;
+}
+
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER tvec2<U, P> associatedMin
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? a[i] : b[i];
+ return Result;
+}
+
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ T x, const vecType<U, P>& a,
+ T y, const vecType<U, P>& b
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x < y ? a[i] : b[i];
+ return Result;
+}
+
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? a : b;
+ return Result;
+}
+
+// Min comparison between 3 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMin
+(
+ T x, U a,
+ T y, U b,
+ T z, U c
+)
+{
+ U Result = x < y ? (x < z ? a : c) : (y < z ? b : c);
+ return Result;
+}
+
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] < y[i] ? (x[i] < z[i] ? a[i] : c[i]) : (y[i] < z[i] ? b[i] : c[i]);
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMin
+(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d
+)
+{
+ T Test1 = min(x, y);
+ T Test2 = min(z, w);;
+ U Result1 = x < y ? a : b;
+ U Result2 = z < w ? c : d;
+ U Result = Test1 < Test2 ? Result1 : Result2;
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c,
+ vecType<T, P> const & w, vecType<U, P> const & d
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = min(x[i], y[i]);
+ T Test2 = min(z[i], w[i]);
+ U Result1 = x[i] < y[i] ? a[i] : b[i];
+ U Result2 = z[i] < w[i] ? c[i] : d[i];
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c,
+ T w, vecType<U, P> const & d
+)
+{
+ T Test1 = min(x, y);
+ T Test2 = min(z, w);
+
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ U Result1 = x < y ? a[i] : b[i];
+ U Result2 = z < w ? c[i] : d[i];
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Min comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMin
+(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c,
+ vecType<T, P> const & w, U d
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = min(x[i], y[i]);
+ T Test2 = min(z[i], w[i]);;
+ U Result1 = x[i] < y[i] ? a : b;
+ U Result2 = z[i] < w[i] ? c : d;
+ Result[i] = Test1 < Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax(T x, U a, T y, U b)
+{
+ return x > y ? a : b;
+}
+
+// Max comparison between 2 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER tvec2<U, P> associatedMax
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? a[i] : b[i];
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<T, P> associatedMax
+(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x > y ? a[i] : b[i];
+ return Result;
+}
+
+// Max comparison between 2 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b
+)
+{
+ vecType<T, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? a : b;
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax
+(
+ T x, U a,
+ T y, U b,
+ T z, U c
+)
+{
+ U Result = x > y ? (x > z ? a : c) : (y > z ? b : c);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? (x[i] > z[i] ? a[i] : c[i]) : (y[i] > z[i] ? b[i] : c[i]);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<T, P> associatedMax
+(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x > y ? (x > z ? a[i] : c[i]) : (y > z ? b[i] : c[i]);
+ return Result;
+}
+
+// Max comparison between 3 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c
+)
+{
+ vecType<T, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ Result[i] = x[i] > y[i] ? (x[i] > z[i] ? a : c) : (y[i] > z[i] ? b : c);
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<typename T, typename U>
+GLM_FUNC_QUALIFIER U associatedMax
+(
+ T x, U a,
+ T y, U b,
+ T z, U c,
+ T w, U d
+)
+{
+ T Test1 = max(x, y);
+ T Test2 = max(z, w);;
+ U Result1 = x > y ? a : b;
+ U Result2 = z > w ? c : d;
+ U Result = Test1 > Test2 ? Result1 : Result2;
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ vecType<T, P> const & x, vecType<U, P> const & a,
+ vecType<T, P> const & y, vecType<U, P> const & b,
+ vecType<T, P> const & z, vecType<U, P> const & c,
+ vecType<T, P> const & w, vecType<U, P> const & d
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = max(x[i], y[i]);
+ T Test2 = max(z[i], w[i]);
+ U Result1 = x[i] > y[i] ? a[i] : b[i];
+ U Result2 = z[i] > w[i] ? c[i] : d[i];
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ T x, vecType<U, P> const & a,
+ T y, vecType<U, P> const & b,
+ T z, vecType<U, P> const & c,
+ T w, vecType<U, P> const & d
+)
+{
+ T Test1 = max(x, y);
+ T Test2 = max(z, w);
+
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ U Result1 = x > y ? a[i] : b[i];
+ U Result2 = z > w ? c[i] : d[i];
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+
+// Max comparison between 4 variables
+template<typename T, typename U, precision P, template <typename, precision> class vecType>
+GLM_FUNC_QUALIFIER vecType<U, P> associatedMax
+(
+ vecType<T, P> const & x, U a,
+ vecType<T, P> const & y, U b,
+ vecType<T, P> const & z, U c,
+ vecType<T, P> const & w, U d
+)
+{
+ vecType<U, P> Result(uninitialize);
+ for(length_t i = 0, n = Result.length(); i < n; ++i)
+ {
+ T Test1 = max(x[i], y[i]);
+ T Test2 = max(z[i], w[i]);;
+ U Result1 = x[i] > y[i] ? a : b;
+ U Result2 = z[i] > w[i] ? c : d;
+ Result[i] = Test1 > Test2 ? Result1 : Result2;
+ }
+ return Result;
+}
+}//namespace glm
diff --git a/external/include/glm/gtx/bit.hpp b/external/include/glm/gtx/bit.hpp
new file mode 100644
index 0000000..17378f3
--- /dev/null
+++ b/external/include/glm/gtx/bit.hpp
@@ -0,0 +1,95 @@
+/// @ref gtx_bit
+/// @file glm/gtx/bit.hpp
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_bit GLM_GTX_bit
+/// @ingroup gtx
+///
+/// @brief Allow to perform bit operations on integer values
+///
+/// <glm/gtx/bit.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../gtc/bitfield.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_bit extension is deprecated, include GLM_GTC_bitfield and GLM_GTC_integer instead")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_bit
+ /// @{
+
+ /// @see gtx_bit
+ template <typename genIUType>
+ GLM_FUNC_DECL genIUType highestBitValue(genIUType Value);
+
+ /// @see gtx_bit
+ template <typename genIUType>
+ GLM_FUNC_DECL genIUType lowestBitValue(genIUType Value);
+
+ /// Find the highest bit set to 1 in a integer variable and return its value.
+ ///
+ /// @see gtx_bit
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> highestBitValue(vecType<T, P> const & value);
+
+ /// Return the power of two number which value is just higher the input value.
+ /// Deprecated, use ceilPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoAbove(genIUType Value);
+
+ /// Return the power of two number which value is just higher the input value.
+ /// Deprecated, use ceilPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_DEPRECATED GLM_FUNC_DECL vecType<T, P> powerOfTwoAbove(vecType<T, P> const & value);
+
+ /// Return the power of two number which value is just lower the input value.
+ /// Deprecated, use floorPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoBelow(genIUType Value);
+
+ /// Return the power of two number which value is just lower the input value.
+ /// Deprecated, use floorPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_DEPRECATED GLM_FUNC_DECL vecType<T, P> powerOfTwoBelow(vecType<T, P> const & value);
+
+ /// Return the power of two number which value is the closet to the input value.
+ /// Deprecated, use roundPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename genIUType>
+ GLM_DEPRECATED GLM_FUNC_DECL genIUType powerOfTwoNearest(genIUType Value);
+
+ /// Return the power of two number which value is the closet to the input value.
+ /// Deprecated, use roundPowerOfTwo from GTC_round instead
+ ///
+ /// @see gtc_round
+ /// @see gtx_bit
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_DEPRECATED GLM_FUNC_DECL vecType<T, P> powerOfTwoNearest(vecType<T, P> const & value);
+
+ /// @}
+} //namespace glm
+
+
+#include "bit.inl"
+
diff --git a/external/include/glm/gtx/bit.inl b/external/include/glm/gtx/bit.inl
new file mode 100644
index 0000000..10d5f7f
--- /dev/null
+++ b/external/include/glm/gtx/bit.inl
@@ -0,0 +1,93 @@
+/// @ref gtx_bit
+/// @file glm/gtx/bit.inl
+
+namespace glm
+{
+ ///////////////////
+ // highestBitValue
+
+ template <typename genIUType>
+ GLM_FUNC_QUALIFIER genIUType highestBitValue(genIUType Value)
+ {
+ genIUType tmp = Value;
+ genIUType result = genIUType(0);
+ while(tmp)
+ {
+ result = (tmp & (~tmp + 1)); // grab lowest bit
+ tmp &= ~result; // clear lowest bit
+ }
+ return result;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> highestBitValue(vecType<T, P> const & v)
+ {
+ return detail::functor1<T, T, P, vecType>::call(highestBitValue, v);
+ }
+
+ ///////////////////
+ // lowestBitValue
+
+ template <typename genIUType>
+ GLM_FUNC_QUALIFIER genIUType lowestBitValue(genIUType Value)
+ {
+ return (Value & (~Value + 1));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> lowestBitValue(vecType<T, P> const & v)
+ {
+ return detail::functor1<T, T, P, vecType>::call(lowestBitValue, v);
+ }
+
+ ///////////////////
+ // powerOfTwoAbove
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoAbove(genType value)
+ {
+ return isPowerOfTwo(value) ? value : highestBitValue(value) << 1;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> powerOfTwoAbove(vecType<T, P> const & v)
+ {
+ return detail::functor1<T, T, P, vecType>::call(powerOfTwoAbove, v);
+ }
+
+ ///////////////////
+ // powerOfTwoBelow
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoBelow(genType value)
+ {
+ return isPowerOfTwo(value) ? value : highestBitValue(value);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> powerOfTwoBelow(vecType<T, P> const & v)
+ {
+ return detail::functor1<T, T, P, vecType>::call(powerOfTwoBelow, v);
+ }
+
+ /////////////////////
+ // powerOfTwoNearest
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType powerOfTwoNearest(genType value)
+ {
+ if(isPowerOfTwo(value))
+ return value;
+
+ genType const prev = highestBitValue(value);
+ genType const next = prev << 1;
+ return (next - value) < (value - prev) ? next : prev;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> powerOfTwoNearest(vecType<T, P> const & v)
+ {
+ return detail::functor1<T, T, P, vecType>::call(powerOfTwoNearest, v);
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/closest_point.hpp b/external/include/glm/gtx/closest_point.hpp
new file mode 100644
index 0000000..8d435b8
--- /dev/null
+++ b/external/include/glm/gtx/closest_point.hpp
@@ -0,0 +1,45 @@
+/// @ref gtx_closest_point
+/// @file glm/gtx/closest_point.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_closest_point GLM_GTX_closest_point
+/// @ingroup gtx
+///
+/// @brief Find the point on a straight line which is the closet of a point.
+///
+/// <glm/gtx/closest_point.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_closest_point extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_closest_point
+ /// @{
+
+ /// Find the point on a straight line which is the closet of a point.
+ /// @see gtx_closest_point
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> closestPointOnLine(
+ tvec3<T, P> const & point,
+ tvec3<T, P> const & a,
+ tvec3<T, P> const & b);
+
+ /// 2d lines work as well
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec2<T, P> closestPointOnLine(
+ tvec2<T, P> const & point,
+ tvec2<T, P> const & a,
+ tvec2<T, P> const & b);
+
+ /// @}
+}// namespace glm
+
+#include "closest_point.inl"
diff --git a/external/include/glm/gtx/closest_point.inl b/external/include/glm/gtx/closest_point.inl
new file mode 100644
index 0000000..ccda9ab
--- /dev/null
+++ b/external/include/glm/gtx/closest_point.inl
@@ -0,0 +1,46 @@
+/// @ref gtx_closest_point
+/// @file glm/gtx/closest_point.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> closestPointOnLine
+ (
+ tvec3<T, P> const & point,
+ tvec3<T, P> const & a,
+ tvec3<T, P> const & b
+ )
+ {
+ T LineLength = distance(a, b);
+ tvec3<T, P> Vector = point - a;
+ tvec3<T, P> LineDirection = (b - a) / LineLength;
+
+ // Project Vector3 to LineDirection to get the distance of point from a
+ T Distance = dot(Vector, LineDirection);
+
+ if(Distance <= T(0)) return a;
+ if(Distance >= LineLength) return b;
+ return a + LineDirection * Distance;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<T, P> closestPointOnLine
+ (
+ tvec2<T, P> const & point,
+ tvec2<T, P> const & a,
+ tvec2<T, P> const & b
+ )
+ {
+ T LineLength = distance(a, b);
+ tvec2<T, P> Vector = point - a;
+ tvec2<T, P> LineDirection = (b - a) / LineLength;
+
+ // Project Vector3 to LineDirection to get the distance of point from a
+ T Distance = dot(Vector3, LineDirection);
+
+ if(Distance <= T(0)) return a;
+ if(Distance >= LineLength) return b;
+ return a + LineDirection * Distance;
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/color_space.hpp b/external/include/glm/gtx/color_space.hpp
new file mode 100644
index 0000000..9ff08dc
--- /dev/null
+++ b/external/include/glm/gtx/color_space.hpp
@@ -0,0 +1,68 @@
+/// @ref gtx_color_space
+/// @file glm/gtx/color_space.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_color_space GLM_GTX_color_space
+/// @ingroup gtx
+///
+/// @brief Related to RGB to HSV conversions and operations.
+///
+/// <glm/gtx/color_space.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_color_space extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_color_space
+ /// @{
+
+ /// Converts a color from HSV color space to its color in RGB color space.
+ /// @see gtx_color_space
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rgbColor(
+ tvec3<T, P> const & hsvValue);
+
+ /// Converts a color from RGB color space to its color in HSV color space.
+ /// @see gtx_color_space
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> hsvColor(
+ tvec3<T, P> const & rgbValue);
+
+ /// Build a saturation matrix.
+ /// @see gtx_color_space
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> saturation(
+ T const s);
+
+ /// Modify the saturation of a color.
+ /// @see gtx_color_space
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> saturation(
+ T const s,
+ tvec3<T, P> const & color);
+
+ /// Modify the saturation of a color.
+ /// @see gtx_color_space
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> saturation(
+ T const s,
+ tvec4<T, P> const & color);
+
+ /// Compute color luminosity associating ratios (0.33, 0.59, 0.11) to RGB canals.
+ /// @see gtx_color_space
+ template <typename T, precision P>
+ GLM_FUNC_DECL T luminosity(
+ tvec3<T, P> const & color);
+
+ /// @}
+}//namespace glm
+
+#include "color_space.inl"
diff --git a/external/include/glm/gtx/color_space.inl b/external/include/glm/gtx/color_space.inl
new file mode 100644
index 0000000..e7cd58d
--- /dev/null
+++ b/external/include/glm/gtx/color_space.inl
@@ -0,0 +1,141 @@
+/// @ref gtx_color_space
+/// @file glm/gtx/color_space.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rgbColor(const tvec3<T, P>& hsvColor)
+ {
+ tvec3<T, P> hsv = hsvColor;
+ tvec3<T, P> rgbColor;
+
+ if(hsv.y == static_cast<T>(0))
+ // achromatic (grey)
+ rgbColor = tvec3<T, P>(hsv.z);
+ else
+ {
+ T sector = floor(hsv.x / T(60));
+ T frac = (hsv.x / T(60)) - sector;
+ // factorial part of h
+ T o = hsv.z * (T(1) - hsv.y);
+ T p = hsv.z * (T(1) - hsv.y * frac);
+ T q = hsv.z * (T(1) - hsv.y * (T(1) - frac));
+
+ switch(int(sector))
+ {
+ default:
+ case 0:
+ rgbColor.r = hsv.z;
+ rgbColor.g = q;
+ rgbColor.b = o;
+ break;
+ case 1:
+ rgbColor.r = p;
+ rgbColor.g = hsv.z;
+ rgbColor.b = o;
+ break;
+ case 2:
+ rgbColor.r = o;
+ rgbColor.g = hsv.z;
+ rgbColor.b = q;
+ break;
+ case 3:
+ rgbColor.r = o;
+ rgbColor.g = p;
+ rgbColor.b = hsv.z;
+ break;
+ case 4:
+ rgbColor.r = q;
+ rgbColor.g = o;
+ rgbColor.b = hsv.z;
+ break;
+ case 5:
+ rgbColor.r = hsv.z;
+ rgbColor.g = o;
+ rgbColor.b = p;
+ break;
+ }
+ }
+
+ return rgbColor;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> hsvColor(const tvec3<T, P>& rgbColor)
+ {
+ tvec3<T, P> hsv = rgbColor;
+ float Min = min(min(rgbColor.r, rgbColor.g), rgbColor.b);
+ float Max = max(max(rgbColor.r, rgbColor.g), rgbColor.b);
+ float Delta = Max - Min;
+
+ hsv.z = Max;
+
+ if(Max != static_cast<T>(0))
+ {
+ hsv.y = Delta / hsv.z;
+ T h = static_cast<T>(0);
+
+ if(rgbColor.r == Max)
+ // between yellow & magenta
+ h = static_cast<T>(0) + T(60) * (rgbColor.g - rgbColor.b) / Delta;
+ else if(rgbColor.g == Max)
+ // between cyan & yellow
+ h = static_cast<T>(120) + T(60) * (rgbColor.b - rgbColor.r) / Delta;
+ else
+ // between magenta & cyan
+ h = static_cast<T>(240) + T(60) * (rgbColor.r - rgbColor.g) / Delta;
+
+ if(h < T(0))
+ hsv.x = h + T(360);
+ else
+ hsv.x = h;
+ }
+ else
+ {
+ // If r = g = b = 0 then s = 0, h is undefined
+ hsv.y = static_cast<T>(0);
+ hsv.x = static_cast<T>(0);
+ }
+
+ return hsv;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> saturation(T const s)
+ {
+ tvec3<T, defaultp> rgbw = tvec3<T, defaultp>(T(0.2126), T(0.7152), T(0.0722));
+
+ tvec3<T, defaultp> const col((T(1) - s) * rgbw);
+
+ tmat4x4<T, defaultp> result(T(1));
+ result[0][0] = col.x + s;
+ result[0][1] = col.x;
+ result[0][2] = col.x;
+ result[1][0] = col.y;
+ result[1][1] = col.y + s;
+ result[1][2] = col.y;
+ result[2][0] = col.z;
+ result[2][1] = col.z;
+ result[2][2] = col.z + s;
+ return result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> saturation(const T s, const tvec3<T, P>& color)
+ {
+ return tvec3<T, P>(saturation(s) * tvec4<T, P>(color, T(0)));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> saturation(const T s, const tvec4<T, P>& color)
+ {
+ return saturation(s) * color;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T luminosity(const tvec3<T, P>& color)
+ {
+ const tvec3<T, P> tmp = tvec3<T, P>(0.33, 0.59, 0.11);
+ return dot(color, tmp);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/color_space_YCoCg.hpp b/external/include/glm/gtx/color_space_YCoCg.hpp
new file mode 100644
index 0000000..428ca6d
--- /dev/null
+++ b/external/include/glm/gtx/color_space_YCoCg.hpp
@@ -0,0 +1,56 @@
+/// @ref gtx_color_space_YCoCg
+/// @file glm/gtx/color_space_YCoCg.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_color_space_YCoCg GLM_GTX_color_space_YCoCg
+/// @ingroup gtx
+///
+/// @brief RGB to YCoCg conversions and operations
+///
+/// <glm/gtx/color_space_YCoCg.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_color_space_YCoCg extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_color_space_YCoCg
+ /// @{
+
+ /// Convert a color from RGB color space to YCoCg color space.
+ /// @see gtx_color_space_YCoCg
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rgb2YCoCg(
+ tvec3<T, P> const & rgbColor);
+
+ /// Convert a color from YCoCg color space to RGB color space.
+ /// @see gtx_color_space_YCoCg
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> YCoCg2rgb(
+ tvec3<T, P> const & YCoCgColor);
+
+ /// Convert a color from RGB color space to YCoCgR color space.
+ /// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+ /// @see gtx_color_space_YCoCg
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rgb2YCoCgR(
+ tvec3<T, P> const & rgbColor);
+
+ /// Convert a color from YCoCgR color space to RGB color space.
+ /// @see "YCoCg-R: A Color Space with RGB Reversibility and Low Dynamic Range"
+ /// @see gtx_color_space_YCoCg
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> YCoCgR2rgb(
+ tvec3<T, P> const & YCoCgColor);
+
+ /// @}
+}//namespace glm
+
+#include "color_space_YCoCg.inl"
diff --git a/external/include/glm/gtx/color_space_YCoCg.inl b/external/include/glm/gtx/color_space_YCoCg.inl
new file mode 100644
index 0000000..1ca2e5b
--- /dev/null
+++ b/external/include/glm/gtx/color_space_YCoCg.inl
@@ -0,0 +1,108 @@
+/// @ref gtx_color_space_YCoCg
+/// @file glm/gtx/color_space_YCoCg.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCg
+ (
+ tvec3<T, P> const & rgbColor
+ )
+ {
+ tvec3<T, P> result;
+ result.x/*Y */ = rgbColor.r / T(4) + rgbColor.g / T(2) + rgbColor.b / T(4);
+ result.y/*Co*/ = rgbColor.r / T(2) + rgbColor.g * T(0) - rgbColor.b / T(2);
+ result.z/*Cg*/ = - rgbColor.r / T(4) + rgbColor.g / T(2) - rgbColor.b / T(4);
+ return result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> YCoCg2rgb
+ (
+ tvec3<T, P> const & YCoCgColor
+ )
+ {
+ tvec3<T, P> result;
+ result.r = YCoCgColor.x + YCoCgColor.y - YCoCgColor.z;
+ result.g = YCoCgColor.x + YCoCgColor.z;
+ result.b = YCoCgColor.x - YCoCgColor.y - YCoCgColor.z;
+ return result;
+ }
+
+ template <typename T, precision P, bool isInteger>
+ class compute_YCoCgR {
+ public:
+ static GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCgR
+ (
+ tvec3<T, P> const & rgbColor
+ )
+ {
+ tvec3<T, P> result;
+ result.x/*Y */ = rgbColor.g / T(2) + (rgbColor.r + rgbColor.b) / T(4);
+ result.y/*Co*/ = rgbColor.r - rgbColor.b;
+ result.z/*Cg*/ = rgbColor.g - (rgbColor.r + rgbColor.b) / T(2);
+ return result;
+ }
+
+ static GLM_FUNC_QUALIFIER tvec3<T, P> YCoCgR2rgb
+ (
+ tvec3<T, P> const & YCoCgRColor
+ )
+ {
+ tvec3<T, P> result;
+ T tmp = YCoCgRColor.x - (YCoCgRColor.z / T(2));
+ result.g = YCoCgRColor.z + tmp;
+ result.b = tmp - (YCoCgRColor.y / T(2));
+ result.r = result.b + YCoCgRColor.y;
+ return result;
+ }
+ };
+
+ template <typename T, precision P>
+ class compute_YCoCgR<T, P, true> {
+ public:
+ static GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCgR
+ (
+ tvec3<T, P> const & rgbColor
+ )
+ {
+ tvec3<T, P> result;
+ result.y/*Co*/ = rgbColor.r - rgbColor.b;
+ T tmp = rgbColor.b + (result.y >> 1);
+ result.z/*Cg*/ = rgbColor.g - tmp;
+ result.x/*Y */ = tmp + (result.z >> 1);
+ return result;
+ }
+
+ static GLM_FUNC_QUALIFIER tvec3<T, P> YCoCgR2rgb
+ (
+ tvec3<T, P> const & YCoCgRColor
+ )
+ {
+ tvec3<T, P> result;
+ T tmp = YCoCgRColor.x - (YCoCgRColor.z >> 1);
+ result.g = YCoCgRColor.z + tmp;
+ result.b = tmp - (YCoCgRColor.y >> 1);
+ result.r = result.b + YCoCgRColor.y;
+ return result;
+ }
+ };
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rgb2YCoCgR
+ (
+ tvec3<T, P> const & rgbColor
+ )
+ {
+ return compute_YCoCgR<T, P, std::numeric_limits<T>::is_integer>::rgb2YCoCgR(rgbColor);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> YCoCgR2rgb
+ (
+ tvec3<T, P> const & YCoCgRColor
+ )
+ {
+ return compute_YCoCgR<T, P, std::numeric_limits<T>::is_integer>::YCoCgR2rgb(YCoCgRColor);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/common.hpp b/external/include/glm/gtx/common.hpp
new file mode 100644
index 0000000..6533a54
--- /dev/null
+++ b/external/include/glm/gtx/common.hpp
@@ -0,0 +1,53 @@
+/// @ref gtx_common
+/// @file glm/gtx/common.hpp
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_common GLM_GTX_common
+/// @ingroup gtx
+///
+/// @brief Provide functions to increase the compatibility with Cg and HLSL languages
+///
+/// <glm/gtx/common.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies:
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/vec1.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_common extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_common
+ /// @{
+
+ /// Returns true if x is a denormalized number
+ /// Numbers whose absolute value is too small to be represented in the normal format are represented in an alternate, denormalized format.
+ /// This format is less precise but can represent values closer to zero.
+ ///
+ /// @tparam genType Floating-point scalar or vector types.
+ ///
+ /// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
+ /// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+ template <typename genType>
+ GLM_FUNC_DECL typename genType::bool_type isdenormal(genType const & x);
+
+ /// Similar to 'mod' but with a different rounding and integer support.
+ /// Returns 'x - y * trunc(x/y)' instead of 'x - y * floor(x/y)'
+ ///
+ /// @see <a href="http://stackoverflow.com/questions/7610631/glsl-mod-vs-hlsl-fmod">GLSL mod vs HLSL fmod</a>
+ /// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fmod(vecType<T, P> const & v);
+
+ /// @}
+}//namespace glm
+
+#include "common.inl"
diff --git a/external/include/glm/gtx/common.inl b/external/include/glm/gtx/common.inl
new file mode 100644
index 0000000..6c9cb65
--- /dev/null
+++ b/external/include/glm/gtx/common.inl
@@ -0,0 +1,112 @@
+/// @ref gtx_common
+/// @file glm/gtx/common.inl
+
+#include <cmath>
+
+namespace glm{
+namespace detail
+{
+ template <typename T, precision P, template <class, precision> class vecType, bool isFloat = true>
+ struct compute_fmod
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & a, vecType<T, P> const & b)
+ {
+ return detail::functor2<T, P, vecType>::call(std::fmod, a, b);
+ }
+ };
+
+ template <typename T, precision P, template <class, precision> class vecType>
+ struct compute_fmod<T, P, vecType, false>
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & a, vecType<T, P> const & b)
+ {
+ return a % b;
+ }
+ };
+}//namespace detail
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool isdenormal(T const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+# if GLM_HAS_CXX11_STL
+ return std::fpclassify(x) == FP_SUBNORMAL;
+# else
+ return x != static_cast<T>(0) && std::fabs(x) < std::numeric_limits<T>::min();
+# endif
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tvec1<T, P>::bool_type isdenormal
+ (
+ tvec1<T, P> const & x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename tvec1<T, P>::bool_type(
+ isdenormal(x.x));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tvec2<T, P>::bool_type isdenormal
+ (
+ tvec2<T, P> const & x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename tvec2<T, P>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tvec3<T, P>::bool_type isdenormal
+ (
+ tvec3<T, P> const & x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename tvec3<T, P>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y),
+ isdenormal(x.z));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tvec4<T, P>::bool_type isdenormal
+ (
+ tvec4<T, P> const & x
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isdenormal' only accept floating-point inputs");
+
+ return typename tvec4<T, P>::bool_type(
+ isdenormal(x.x),
+ isdenormal(x.y),
+ isdenormal(x.z),
+ isdenormal(x.w));
+ }
+
+ // fmod
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fmod(genType x, genType y)
+ {
+ return fmod(tvec1<genType>(x), y).x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fmod(vecType<T, P> const & x, T y)
+ {
+ return detail::compute_fmod<T, P, vecType, std::numeric_limits<T>::is_iec559>::call(x, vecType<T, P>(y));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fmod(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return detail::compute_fmod<T, P, vecType, std::numeric_limits<T>::is_iec559>::call(x, y);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/compatibility.hpp b/external/include/glm/gtx/compatibility.hpp
new file mode 100644
index 0000000..9f4819a
--- /dev/null
+++ b/external/include/glm/gtx/compatibility.hpp
@@ -0,0 +1,130 @@
+/// @ref gtx_compatibility
+/// @file glm/gtx/compatibility.hpp
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_compatibility GLM_GTX_compatibility
+/// @ingroup gtx
+///
+/// @brief Provide functions to increase the compatibility with Cg and HLSL languages
+///
+/// <glm/gtx/compatibility.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_compatibility extension included")
+#endif
+
+#if GLM_COMPILER & GLM_COMPILER_VC
+# include <cfloat>
+#elif GLM_COMPILER & GLM_COMPILER_GCC
+# include <cmath>
+# if(GLM_PLATFORM & GLM_PLATFORM_ANDROID)
+# undef isfinite
+# endif
+#endif//GLM_COMPILER
+
+namespace glm
+{
+ /// @addtogroup gtx_compatibility
+ /// @{
+
+ template <typename T> GLM_FUNC_QUALIFIER T lerp(T x, T y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> lerp(const tvec2<T, P>& x, const tvec2<T, P>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> lerp(const tvec3<T, P>& x, const tvec3<T, P>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> lerp(const tvec4<T, P>& x, const tvec4<T, P>& y, T a){return mix(x, y, a);} //!< \brief Returns x * (1.0 - a) + y * a, i.e., the linear blend of x and y using the floating-point value a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> lerp(const tvec2<T, P>& x, const tvec2<T, P>& y, const tvec2<T, P>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> lerp(const tvec3<T, P>& x, const tvec3<T, P>& y, const tvec3<T, P>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> lerp(const tvec4<T, P>& x, const tvec4<T, P>& y, const tvec4<T, P>& a){return mix(x, y, a);} //!< \brief Returns the component-wise result of x * (1.0 - a) + y * a, i.e., the linear blend of x and y using vector a. The value for a is not restricted to the range [0, 1]. (From GLM_GTX_compatibility)
+
+ template <typename T, precision P> GLM_FUNC_QUALIFIER T saturate(T x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> saturate(const tvec2<T, P>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> saturate(const tvec3<T, P>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> saturate(const tvec4<T, P>& x){return clamp(x, T(0), T(1));} //!< \brief Returns clamp(x, 0, 1) for each component in x. (From GLM_GTX_compatibility)
+
+ template <typename T, precision P> GLM_FUNC_QUALIFIER T atan2(T x, T y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec2<T, P> atan2(const tvec2<T, P>& x, const tvec2<T, P>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec3<T, P> atan2(const tvec3<T, P>& x, const tvec3<T, P>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_QUALIFIER tvec4<T, P> atan2(const tvec4<T, P>& x, const tvec4<T, P>& y){return atan(x, y);} //!< \brief Arc tangent. Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0. (From GLM_GTX_compatibility)
+
+ template <typename genType> GLM_FUNC_DECL bool isfinite(genType const & x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_DECL tvec1<bool, P> isfinite(const tvec1<T, P>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_DECL tvec2<bool, P> isfinite(const tvec2<T, P>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_DECL tvec3<bool, P> isfinite(const tvec3<T, P>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+ template <typename T, precision P> GLM_FUNC_DECL tvec4<bool, P> isfinite(const tvec4<T, P>& x); //!< \brief Test whether or not a scalar or each vector component is a finite value. (From GLM_GTX_compatibility)
+
+ typedef bool bool1; //!< \brief boolean type with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tvec2<bool, highp> bool2; //!< \brief boolean type with 2 components. (From GLM_GTX_compatibility extension)
+ typedef tvec3<bool, highp> bool3; //!< \brief boolean type with 3 components. (From GLM_GTX_compatibility extension)
+ typedef tvec4<bool, highp> bool4; //!< \brief boolean type with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef bool bool1x1; //!< \brief boolean matrix with 1 x 1 component. (From GLM_GTX_compatibility extension)
+ typedef tmat2x2<bool, highp> bool2x2; //!< \brief boolean matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x3<bool, highp> bool2x3; //!< \brief boolean matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x4<bool, highp> bool2x4; //!< \brief boolean matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x2<bool, highp> bool3x2; //!< \brief boolean matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x3<bool, highp> bool3x3; //!< \brief boolean matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x4<bool, highp> bool3x4; //!< \brief boolean matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x2<bool, highp> bool4x2; //!< \brief boolean matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x3<bool, highp> bool4x3; //!< \brief boolean matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x4<bool, highp> bool4x4; //!< \brief boolean matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef int int1; //!< \brief integer vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tvec2<int, highp> int2; //!< \brief integer vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef tvec3<int, highp> int3; //!< \brief integer vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef tvec4<int, highp> int4; //!< \brief integer vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef int int1x1; //!< \brief integer matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tmat2x2<int, highp> int2x2; //!< \brief integer matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x3<int, highp> int2x3; //!< \brief integer matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x4<int, highp> int2x4; //!< \brief integer matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x2<int, highp> int3x2; //!< \brief integer matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x3<int, highp> int3x3; //!< \brief integer matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x4<int, highp> int3x4; //!< \brief integer matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x2<int, highp> int4x2; //!< \brief integer matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x3<int, highp> int4x3; //!< \brief integer matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x4<int, highp> int4x4; //!< \brief integer matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef float float1; //!< \brief single-precision floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tvec2<float, highp> float2; //!< \brief single-precision floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef tvec3<float, highp> float3; //!< \brief single-precision floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef tvec4<float, highp> float4; //!< \brief single-precision floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef float float1x1; //!< \brief single-precision floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tmat2x2<float, highp> float2x2; //!< \brief single-precision floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x3<float, highp> float2x3; //!< \brief single-precision floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x4<float, highp> float2x4; //!< \brief single-precision floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x2<float, highp> float3x2; //!< \brief single-precision floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x3<float, highp> float3x3; //!< \brief single-precision floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x4<float, highp> float3x4; //!< \brief single-precision floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x2<float, highp> float4x2; //!< \brief single-precision floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x3<float, highp> float4x3; //!< \brief single-precision floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x4<float, highp> float4x4; //!< \brief single-precision floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef double double1; //!< \brief double-precision floating-point vector with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tvec2<double, highp> double2; //!< \brief double-precision floating-point vector with 2 components. (From GLM_GTX_compatibility extension)
+ typedef tvec3<double, highp> double3; //!< \brief double-precision floating-point vector with 3 components. (From GLM_GTX_compatibility extension)
+ typedef tvec4<double, highp> double4; //!< \brief double-precision floating-point vector with 4 components. (From GLM_GTX_compatibility extension)
+
+ typedef double double1x1; //!< \brief double-precision floating-point matrix with 1 component. (From GLM_GTX_compatibility extension)
+ typedef tmat2x2<double, highp> double2x2; //!< \brief double-precision floating-point matrix with 2 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x3<double, highp> double2x3; //!< \brief double-precision floating-point matrix with 2 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat2x4<double, highp> double2x4; //!< \brief double-precision floating-point matrix with 2 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x2<double, highp> double3x2; //!< \brief double-precision floating-point matrix with 3 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x3<double, highp> double3x3; //!< \brief double-precision floating-point matrix with 3 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat3x4<double, highp> double3x4; //!< \brief double-precision floating-point matrix with 3 x 4 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x2<double, highp> double4x2; //!< \brief double-precision floating-point matrix with 4 x 2 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x3<double, highp> double4x3; //!< \brief double-precision floating-point matrix with 4 x 3 components. (From GLM_GTX_compatibility extension)
+ typedef tmat4x4<double, highp> double4x4; //!< \brief double-precision floating-point matrix with 4 x 4 components. (From GLM_GTX_compatibility extension)
+
+ /// @}
+}//namespace glm
+
+#include "compatibility.inl"
diff --git a/external/include/glm/gtx/compatibility.inl b/external/include/glm/gtx/compatibility.inl
new file mode 100644
index 0000000..368527a
--- /dev/null
+++ b/external/include/glm/gtx/compatibility.inl
@@ -0,0 +1,65 @@
+/// @ref gtx_compatibility
+/// @file glm/gtx/compatibility.inl
+
+#include <limits>
+
+namespace glm
+{
+ // isfinite
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool isfinite(
+ genType const & x)
+ {
+# if GLM_HAS_CXX11_STL
+ return std::isfinite(x) != 0;
+# elif GLM_COMPILER & GLM_COMPILER_VC
+ return _finite(x);
+# elif GLM_COMPILER & GLM_COMPILER_GCC && GLM_PLATFORM & GLM_PLATFORM_ANDROID
+ return _isfinite(x) != 0;
+# else
+ if (std::numeric_limits<genType>::is_integer || std::denorm_absent == std::numeric_limits<genType>::has_denorm)
+ return std::numeric_limits<genType>::min() <= x && std::numeric_limits<genType>::max() >= x;
+ else
+ return -std::numeric_limits<genType>::max() <= x && std::numeric_limits<genType>::max() >= x;
+# endif
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec1<bool, P> isfinite(
+ tvec1<T, P> const & x)
+ {
+ return tvec1<bool, P>(
+ isfinite(x.x));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<bool, P> isfinite(
+ tvec2<T, P> const & x)
+ {
+ return tvec2<bool, P>(
+ isfinite(x.x),
+ isfinite(x.y));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<bool, P> isfinite(
+ tvec3<T, P> const & x)
+ {
+ return tvec3<bool, P>(
+ isfinite(x.x),
+ isfinite(x.y),
+ isfinite(x.z));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<bool, P> isfinite(
+ tvec4<T, P> const & x)
+ {
+ return tvec4<bool, P>(
+ isfinite(x.x),
+ isfinite(x.y),
+ isfinite(x.z),
+ isfinite(x.w));
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/component_wise.hpp b/external/include/glm/gtx/component_wise.hpp
new file mode 100644
index 0000000..c316f9e
--- /dev/null
+++ b/external/include/glm/gtx/component_wise.hpp
@@ -0,0 +1,65 @@
+/// @ref gtx_component_wise
+/// @file glm/gtx/component_wise.hpp
+/// @date 2007-05-21 / 2011-06-07
+/// @author Christophe Riccio
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_component_wise GLM_GTX_component_wise
+/// @ingroup gtx
+///
+/// @brief Operations between components of a type
+///
+/// <glm/gtx/component_wise.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/precision.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_component_wise extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_component_wise
+ /// @{
+
+ /// Convert an integer vector to a normalized float vector.
+ /// If the parameter value type is already a floating precision type, the value is passed through.
+ /// @see gtx_component_wise
+ template <typename floatType, typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<floatType, P> compNormalize(vecType<T, P> const & v);
+
+ /// Convert a normalized float vector to an integer vector.
+ /// If the parameter value type is already a floating precision type, the value is passed through.
+ /// @see gtx_component_wise
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> compScale(vecType<floatType, P> const & v);
+
+ /// Add all vector components together.
+ /// @see gtx_component_wise
+ template <typename genType>
+ GLM_FUNC_DECL typename genType::value_type compAdd(genType const & v);
+
+ /// Multiply all vector components together.
+ /// @see gtx_component_wise
+ template <typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMul(genType const & v);
+
+ /// Find the minimum value between single vector components.
+ /// @see gtx_component_wise
+ template <typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMin(genType const & v);
+
+ /// Find the maximum value between single vector components.
+ /// @see gtx_component_wise
+ template <typename genType>
+ GLM_FUNC_DECL typename genType::value_type compMax(genType const & v);
+
+ /// @}
+}//namespace glm
+
+#include "component_wise.inl"
diff --git a/external/include/glm/gtx/component_wise.inl b/external/include/glm/gtx/component_wise.inl
new file mode 100644
index 0000000..add3969
--- /dev/null
+++ b/external/include/glm/gtx/component_wise.inl
@@ -0,0 +1,128 @@
+/// @ref gtx_component_wise
+/// @file glm/gtx/component_wise.inl
+
+#include <limits>
+
+namespace glm{
+namespace detail
+{
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType, bool isInteger, bool signedType>
+ struct compute_compNormalize
+ {};
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compNormalize<T, floatType, P, vecType, true, true>
+ {
+ GLM_FUNC_QUALIFIER static vecType<floatType, P> call(vecType<T, P> const & v)
+ {
+ floatType const Min = static_cast<floatType>(std::numeric_limits<T>::min());
+ floatType const Max = static_cast<floatType>(std::numeric_limits<T>::max());
+ return (vecType<floatType, P>(v) - Min) / (Max - Min) * static_cast<floatType>(2) - static_cast<floatType>(1);
+ }
+ };
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compNormalize<T, floatType, P, vecType, true, false>
+ {
+ GLM_FUNC_QUALIFIER static vecType<floatType, P> call(vecType<T, P> const & v)
+ {
+ return vecType<floatType, P>(v) / static_cast<floatType>(std::numeric_limits<T>::max());
+ }
+ };
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compNormalize<T, floatType, P, vecType, false, true>
+ {
+ GLM_FUNC_QUALIFIER static vecType<floatType, P> call(vecType<T, P> const & v)
+ {
+ return v;
+ }
+ };
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType, bool isInteger, bool signedType>
+ struct compute_compScale
+ {};
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compScale<T, floatType, P, vecType, true, true>
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<floatType, P> const & v)
+ {
+ floatType const Max = static_cast<floatType>(std::numeric_limits<T>::max()) + static_cast<floatType>(0.5);
+ vecType<floatType, P> const Scaled(v * Max);
+ vecType<T, P> const Result(Scaled - static_cast<floatType>(0.5));
+ return Result;
+ }
+ };
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compScale<T, floatType, P, vecType, true, false>
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<floatType, P> const & v)
+ {
+ return vecType<T, P>(vecType<floatType, P>(v) * static_cast<floatType>(std::numeric_limits<T>::max()));
+ }
+ };
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ struct compute_compScale<T, floatType, P, vecType, false, true>
+ {
+ GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<floatType, P> const & v)
+ {
+ return v;
+ }
+ };
+}//namespace detail
+
+ template <typename floatType, typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<floatType, P> compNormalize(vecType<T, P> const & v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "'compNormalize' accepts only floating-point types for 'floatType' template parameter");
+
+ return detail::compute_compNormalize<T, floatType, P, vecType, std::numeric_limits<T>::is_integer, std::numeric_limits<T>::is_signed>::call(v);
+ }
+
+ template <typename T, typename floatType, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> compScale(vecType<floatType, P> const & v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<floatType>::is_iec559, "'compScale' accepts only floating-point types for 'floatType' template parameter");
+
+ return detail::compute_compScale<T, floatType, P, vecType, std::numeric_limits<T>::is_integer, std::numeric_limits<T>::is_signed>::call(v);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T compAdd(vecType<T, P> const & v)
+ {
+ T Result(0);
+ for(length_t i = 0, n = v.length(); i < n; ++i)
+ Result += v[i];
+ return Result;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T compMul(vecType<T, P> const & v)
+ {
+ T Result(1);
+ for(length_t i = 0, n = v.length(); i < n; ++i)
+ Result *= v[i];
+ return Result;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T compMin(vecType<T, P> const & v)
+ {
+ T Result(v[0]);
+ for(length_t i = 1, n = v.length(); i < n; ++i)
+ Result = min(Result, v[i]);
+ return Result;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T compMax(vecType<T, P> const & v)
+ {
+ T Result(v[0]);
+ for(length_t i = 1, n = v.length(); i < n; ++i)
+ Result = max(Result, v[i]);
+ return Result;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/dual_quaternion.hpp b/external/include/glm/gtx/dual_quaternion.hpp
new file mode 100644
index 0000000..4d7b61e
--- /dev/null
+++ b/external/include/glm/gtx/dual_quaternion.hpp
@@ -0,0 +1,266 @@
+/// @ref gtx_dual_quaternion
+/// @file glm/gtx/dual_quaternion.hpp
+/// @author Maksim Vorobiev (msomeone@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+/// @see gtc_constants (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_dual_quaternion GLM_GTX_dual_quaternion
+/// @ingroup gtx
+///
+/// @brief Defines a templated dual-quaternion type and several dual-quaternion operations.
+///
+/// <glm/gtx/dual_quaternion.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_dual_quaternion extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_dual_quaternion
+ /// @{
+
+ template <typename T, precision P = defaultp>
+ struct tdualquat
+ {
+ // -- Implementation detail --
+
+ typedef T value_type;
+ typedef glm::tquat<T, P> part_type;
+
+ // -- Data --
+
+ glm::tquat<T, P> real, dual;
+
+ // -- Component accesses --
+
+ typedef length_t length_type;
+ /// Return the count of components of a dual quaternion
+ GLM_FUNC_DECL static length_type length(){return 2;}
+
+ GLM_FUNC_DECL part_type & operator[](length_type i);
+ GLM_FUNC_DECL part_type const & operator[](length_type i) const;
+
+ // -- Implicit basic constructors --
+
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT_CTOR;
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, P> const & d) GLM_DEFAULT;
+ template <precision Q>
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, Q> const & d);
+
+ // -- Explicit basic constructors --
+
+ GLM_FUNC_DECL GLM_CONSTEXPR_CTOR explicit tdualquat(ctor);
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real);
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & orientation, tvec3<T, P> const & translation);
+ GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real, tquat<T, P> const & dual);
+
+ // -- Conversion constructors --
+
+ template <typename U, precision Q>
+ GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat<U, Q> const & q);
+
+ GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat2x4<T, P> const & holder_mat);
+ GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat3x4<T, P> const & aug_mat);
+
+ // -- Unary arithmetic operators --
+
+ GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<T, P> const & m) GLM_DEFAULT;
+
+ template <typename U>
+ GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<U, P> const & m);
+ template <typename U>
+ GLM_FUNC_DECL tdualquat<T, P> & operator*=(U s);
+ template <typename U>
+ GLM_FUNC_DECL tdualquat<T, P> & operator/=(U s);
+ };
+
+ // -- Unary bit operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator+(tdualquat<T, P> const & q);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator-(tdualquat<T, P> const & q);
+
+ // -- Binary operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator+(tdualquat<T, P> const & q, tdualquat<T, P> const & p);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator*(tdualquat<T, P> const & q, tdualquat<T, P> const & p);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> operator*(tdualquat<T, P> const & q, tvec3<T, P> const & v);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> operator*(tvec3<T, P> const & v, tdualquat<T, P> const & q);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> operator*(tdualquat<T, P> const & q, tvec4<T, P> const & v);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> operator*(tvec4<T, P> const & v, tdualquat<T, P> const & q);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator*(tdualquat<T, P> const & q, T const & s);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator*(T const & s, tdualquat<T, P> const & q);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> operator/(tdualquat<T, P> const & q, T const & s);
+
+ // -- Boolean operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL bool operator==(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2);
+
+ template <typename T, precision P>
+ GLM_FUNC_DECL bool operator!=(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2);
+
+ /// Returns the normalized quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> normalize(tdualquat<T, P> const & q);
+
+ /// Returns the linear interpolation of two dual quaternion.
+ ///
+ /// @see gtc_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> lerp(tdualquat<T, P> const & x, tdualquat<T, P> const & y, T const & a);
+
+ /// Returns the q inverse.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> inverse(tdualquat<T, P> const & q);
+
+ /// Converts a quaternion to a 2 * 4 matrix.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x4<T, P> mat2x4_cast(tdualquat<T, P> const & x);
+
+ /// Converts a quaternion to a 3 * 4 matrix.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x4<T, P> mat3x4_cast(tdualquat<T, P> const & x);
+
+ /// Converts a 2 * 4 matrix (matrix which holds real and dual parts) to a quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(tmat2x4<T, P> const & x);
+
+ /// Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion.
+ ///
+ /// @see gtx_dual_quaternion
+ template <typename T, precision P>
+ GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(tmat3x4<T, P> const & x);
+
+
+ /// Dual-quaternion of low single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, lowp> lowp_dualquat;
+
+ /// Dual-quaternion of medium single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, mediump> mediump_dualquat;
+
+ /// Dual-quaternion of high single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, highp> highp_dualquat;
+
+
+ /// Dual-quaternion of low single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, lowp> lowp_fdualquat;
+
+ /// Dual-quaternion of medium single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, mediump> mediump_fdualquat;
+
+ /// Dual-quaternion of high single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<float, highp> highp_fdualquat;
+
+
+ /// Dual-quaternion of low double-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, lowp> lowp_ddualquat;
+
+ /// Dual-quaternion of medium double-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, mediump> mediump_ddualquat;
+
+ /// Dual-quaternion of high double-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef tdualquat<double, highp> highp_ddualquat;
+
+
+#if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ /// Dual-quaternion of floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_fdualquat dualquat;
+
+ /// Dual-quaternion of single-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_fdualquat fdualquat;
+#elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef highp_fdualquat dualquat;
+ typedef highp_fdualquat fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef mediump_fdualquat dualquat;
+ typedef mediump_fdualquat fdualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))
+ typedef lowp_fdualquat dualquat;
+ typedef lowp_fdualquat fdualquat;
+#else
+# error "GLM error: multiple default precision requested for single-precision floating-point types"
+#endif
+
+
+#if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ /// Dual-quaternion of default double-precision floating-point numbers.
+ ///
+ /// @see gtx_dual_quaternion
+ typedef highp_ddualquat ddualquat;
+#elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef highp_ddualquat ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef mediump_ddualquat ddualquat;
+#elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))
+ typedef lowp_ddualquat ddualquat;
+#else
+# error "GLM error: Multiple default precision requested for double-precision floating-point types"
+#endif
+
+ /// @}
+} //namespace glm
+
+#include "dual_quaternion.inl"
diff --git a/external/include/glm/gtx/dual_quaternion.inl b/external/include/glm/gtx/dual_quaternion.inl
new file mode 100644
index 0000000..c3f2bc6
--- /dev/null
+++ b/external/include/glm/gtx/dual_quaternion.inl
@@ -0,0 +1,351 @@
+/// @ref gtx_dual_quaternion
+/// @file glm/gtx/dual_quaternion.inl
+
+#include "../geometric.hpp"
+#include <limits>
+
+namespace glm
+{
+ // -- Component accesses --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type & tdualquat<T, P>::operator[](typename tdualquat<T, P>::length_type i)
+ {
+ assert(i >= 0 && i < this->length());
+ return (&real)[i];
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER typename tdualquat<T, P>::part_type const & tdualquat<T, P>::operator[](typename tdualquat<T, P>::length_type i) const
+ {
+ assert(i >= 0 && i < this->length());
+ return (&real)[i];
+ }
+
+ // -- Implicit basic constructors --
+
+# if !GLM_HAS_DEFAULTED_FUNCTIONS || !defined(GLM_FORCE_NO_CTOR_INIT)
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat()
+# ifndef GLM_FORCE_NO_CTOR_INIT
+ : real(tquat<T, P>())
+ , dual(tquat<T, P>(0, 0, 0, 0))
+# endif
+ {}
+# endif
+
+# if !GLM_HAS_DEFAULTED_FUNCTIONS
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tdualquat<T, P> const & d)
+ : real(d.real)
+ , dual(d.dual)
+ {}
+# endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+ template <typename T, precision P>
+ template <precision Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tdualquat<T, Q> const & d)
+ : real(d.real)
+ , dual(d.dual)
+ {}
+
+ // -- Explicit basic constructors --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR_CTOR tdualquat<T, P>::tdualquat(ctor)
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tquat<T, P> const & r)
+ : real(r), dual(tquat<T, P>(0, 0, 0, 0))
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tquat<T, P> const & q, tvec3<T, P> const& p)
+ : real(q), dual(
+ T(-0.5) * ( p.x*q.x + p.y*q.y + p.z*q.z),
+ T(+0.5) * ( p.x*q.w + p.y*q.z - p.z*q.y),
+ T(+0.5) * (-p.x*q.z + p.y*q.w + p.z*q.x),
+ T(+0.5) * ( p.x*q.y - p.y*q.x + p.z*q.w))
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tquat<T, P> const & r, tquat<T, P> const & d)
+ : real(r), dual(d)
+ {}
+
+ // -- Conversion constructors --
+
+ template <typename T, precision P>
+ template <typename U, precision Q>
+ GLM_FUNC_QUALIFIER GLM_CONSTEXPR tdualquat<T, P>::tdualquat(tdualquat<U, Q> const & q)
+ : real(q.real)
+ , dual(q.dual)
+ {}
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tmat2x4<T, P> const & m)
+ {
+ *this = dualquat_cast(m);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P>::tdualquat(tmat3x4<T, P> const & m)
+ {
+ *this = dualquat_cast(m);
+ }
+
+ // -- Unary arithmetic operators --
+
+# if !GLM_HAS_DEFAULTED_FUNCTIONS
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator=(tdualquat<T, P> const & q)
+ {
+ this->real = q.real;
+ this->dual = q.dual;
+ return *this;
+ }
+# endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator=(tdualquat<U, P> const & q)
+ {
+ this->real = q.real;
+ this->dual = q.dual;
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator*=(U s)
+ {
+ this->real *= static_cast<T>(s);
+ this->dual *= static_cast<T>(s);
+ return *this;
+ }
+
+ template <typename T, precision P>
+ template <typename U>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> & tdualquat<T, P>::operator/=(U s)
+ {
+ this->real /= static_cast<T>(s);
+ this->dual /= static_cast<T>(s);
+ return *this;
+ }
+
+ // -- Unary bit operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator+(tdualquat<T, P> const & q)
+ {
+ return q;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator-(tdualquat<T, P> const & q)
+ {
+ return tdualquat<T, P>(-q.real, -q.dual);
+ }
+
+ // -- Binary operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator+(tdualquat<T, P> const & q, tdualquat<T, P> const & p)
+ {
+ return tdualquat<T, P>(q.real + p.real,q.dual + p.dual);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(tdualquat<T, P> const & p, tdualquat<T, P> const & o)
+ {
+ return tdualquat<T, P>(p.real * o.real,p.real * o.dual + p.dual * o.real);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tdualquat<T, P> const & q, tvec3<T, P> const & v)
+ {
+ tvec3<T, P> const real_v3(q.real.x,q.real.y,q.real.z);
+ tvec3<T, P> const dual_v3(q.dual.x,q.dual.y,q.dual.z);
+ return (cross(real_v3, cross(real_v3,v) + v * q.real.w + dual_v3) + dual_v3 * q.real.w - real_v3 * q.dual.w) * T(2) + v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec3<T, P> const & v, tdualquat<T, P> const & q)
+ {
+ return glm::inverse(q) * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> operator*(tdualquat<T, P> const & q, tvec4<T, P> const & v)
+ {
+ return tvec4<T, P>(q * tvec3<T, P>(v), v.w);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> operator*(tvec4<T, P> const & v, tdualquat<T, P> const & q)
+ {
+ return glm::inverse(q) * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(tdualquat<T, P> const & q, T const & s)
+ {
+ return tdualquat<T, P>(q.real * s, q.dual * s);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator*(T const & s, tdualquat<T, P> const & q)
+ {
+ return q * s;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> operator/(tdualquat<T, P> const & q, T const & s)
+ {
+ return tdualquat<T, P>(q.real / s, q.dual / s);
+ }
+
+ // -- Boolean operators --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator==(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2)
+ {
+ return (q1.real == q2.real) && (q1.dual == q2.dual);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool operator!=(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2)
+ {
+ return (q1.real != q2.dual) || (q1.real != q2.dual);
+ }
+
+ // -- Operations --
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> normalize(tdualquat<T, P> const & q)
+ {
+ return q / length(q.real);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> lerp(tdualquat<T, P> const & x, tdualquat<T, P> const & y, T const & a)
+ {
+ // Dual Quaternion Linear blend aka DLB:
+ // Lerp is only defined in [0, 1]
+ assert(a >= static_cast<T>(0));
+ assert(a <= static_cast<T>(1));
+ T const k = dot(x.real,y.real) < static_cast<T>(0) ? -a : a;
+ T const one(1);
+ return tdualquat<T, P>(x * (one - a) + y * k);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> inverse(tdualquat<T, P> const & q)
+ {
+ const glm::tquat<T, P> real = conjugate(q.real);
+ const glm::tquat<T, P> dual = conjugate(q.dual);
+ return tdualquat<T, P>(real, dual + (real * (-2.0f * dot(real,dual))));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x4<T, P> mat2x4_cast(tdualquat<T, P> const & x)
+ {
+ return tmat2x4<T, P>( x[0].x, x[0].y, x[0].z, x[0].w, x[1].x, x[1].y, x[1].z, x[1].w );
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x4<T, P> mat3x4_cast(tdualquat<T, P> const & x)
+ {
+ tquat<T, P> r = x.real / length2(x.real);
+
+ tquat<T, P> const rr(r.w * x.real.w, r.x * x.real.x, r.y * x.real.y, r.z * x.real.z);
+ r *= static_cast<T>(2);
+
+ T const xy = r.x * x.real.y;
+ T const xz = r.x * x.real.z;
+ T const yz = r.y * x.real.z;
+ T const wx = r.w * x.real.x;
+ T const wy = r.w * x.real.y;
+ T const wz = r.w * x.real.z;
+
+ tvec4<T, P> const a(
+ rr.w + rr.x - rr.y - rr.z,
+ xy - wz,
+ xz + wy,
+ -(x.dual.w * r.x - x.dual.x * r.w + x.dual.y * r.z - x.dual.z * r.y));
+
+ tvec4<T, P> const b(
+ xy + wz,
+ rr.w + rr.y - rr.x - rr.z,
+ yz - wx,
+ -(x.dual.w * r.y - x.dual.x * r.z - x.dual.y * r.w + x.dual.z * r.x));
+
+ tvec4<T, P> const c(
+ xz - wy,
+ yz + wx,
+ rr.w + rr.z - rr.x - rr.y,
+ -(x.dual.w * r.z + x.dual.x * r.y - x.dual.y * r.x - x.dual.z * r.w));
+
+ return tmat3x4<T, P>(a, b, c);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> dualquat_cast(tmat2x4<T, P> const & x)
+ {
+ return tdualquat<T, P>(
+ tquat<T, P>( x[0].w, x[0].x, x[0].y, x[0].z ),
+ tquat<T, P>( x[1].w, x[1].x, x[1].y, x[1].z ));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tdualquat<T, P> dualquat_cast(tmat3x4<T, P> const & x)
+ {
+ tquat<T, P> real(uninitialize);
+
+ T const trace = x[0].x + x[1].y + x[2].z;
+ if(trace > static_cast<T>(0))
+ {
+ T const r = sqrt(T(1) + trace);
+ T const invr = static_cast<T>(0.5) / r;
+ real.w = static_cast<T>(0.5) * r;
+ real.x = (x[2].y - x[1].z) * invr;
+ real.y = (x[0].z - x[2].x) * invr;
+ real.z = (x[1].x - x[0].y) * invr;
+ }
+ else if(x[0].x > x[1].y && x[0].x > x[2].z)
+ {
+ T const r = sqrt(T(1) + x[0].x - x[1].y - x[2].z);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = static_cast<T>(0.5)*r;
+ real.y = (x[1].x + x[0].y) * invr;
+ real.z = (x[0].z + x[2].x) * invr;
+ real.w = (x[2].y - x[1].z) * invr;
+ }
+ else if(x[1].y > x[2].z)
+ {
+ T const r = sqrt(T(1) + x[1].y - x[0].x - x[2].z);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = (x[1].x + x[0].y) * invr;
+ real.y = static_cast<T>(0.5) * r;
+ real.z = (x[2].y + x[1].z) * invr;
+ real.w = (x[0].z - x[2].x) * invr;
+ }
+ else
+ {
+ T const r = sqrt(T(1) + x[2].z - x[0].x - x[1].y);
+ T const invr = static_cast<T>(0.5) / r;
+ real.x = (x[0].z + x[2].x) * invr;
+ real.y = (x[2].y + x[1].z) * invr;
+ real.z = static_cast<T>(0.5) * r;
+ real.w = (x[1].x - x[0].y) * invr;
+ }
+
+ tquat<T, P> dual(uninitialize);
+ dual.x = static_cast<T>(0.5) * ( x[0].w * real.w + x[1].w * real.z - x[2].w * real.y);
+ dual.y = static_cast<T>(0.5) * (-x[0].w * real.z + x[1].w * real.w + x[2].w * real.x);
+ dual.z = static_cast<T>(0.5) * ( x[0].w * real.y - x[1].w * real.x + x[2].w * real.w);
+ dual.w = -static_cast<T>(0.5) * ( x[0].w * real.x + x[1].w * real.y + x[2].w * real.z);
+ return tdualquat<T, P>(real, dual);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/euler_angles.hpp b/external/include/glm/gtx/euler_angles.hpp
new file mode 100644
index 0000000..fdc4f26
--- /dev/null
+++ b/external/include/glm/gtx/euler_angles.hpp
@@ -0,0 +1,143 @@
+/// @ref gtx_euler_angles
+/// @file glm/gtx/euler_angles.hpp
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+///
+/// @defgroup gtx_euler_angles GLM_GTX_euler_angles
+/// @ingroup gtx
+///
+/// @brief Build matrices from Euler angles.
+///
+/// <glm/gtx/euler_angles.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_euler_angles extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_euler_angles
+ /// @{
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle X.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleX(
+ T const & angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Y.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleY(
+ T const & angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from an euler angle Z.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZ(
+ T const & angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleXY(
+ T const & angleX,
+ T const & angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYX(
+ T const & angleY,
+ T const & angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleXZ(
+ T const & angleX,
+ T const & angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * X).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZX(
+ T const & angle,
+ T const & angleX);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYZ(
+ T const & angleY,
+ T const & angleZ);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Z * Y).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleZY(
+ T const & angleZ,
+ T const & angleY);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (X * Y * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleXYZ(
+ T const & t1,
+ T const & t2,
+ T const & t3);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> eulerAngleYXZ(
+ T const & yaw,
+ T const & pitch,
+ T const & roll);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat4x4<T, defaultp> yawPitchRoll(
+ T const & yaw,
+ T const & pitch,
+ T const & roll);
+
+ /// Creates a 2D 2 * 2 rotation matrix from an euler angle.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat2x2<T, defaultp> orientate2(T const & angle);
+
+ /// Creates a 2D 4 * 4 homogeneous rotation matrix from an euler angle.
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL tmat3x3<T, defaultp> orientate3(T const & angle);
+
+ /// Creates a 3D 3 * 3 rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> orientate3(tvec3<T, P> const & angles);
+
+ /// Creates a 3D 4 * 4 homogeneous rotation matrix from euler angles (Y * X * Z).
+ /// @see gtx_euler_angles
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> orientate4(tvec3<T, P> const & angles);
+
+ /// Extracts the (X * Y * Z) Euler angles from the rotation matrix M
+ /// @see gtx_euler_angles
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleXYZ(tmat4x4<T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3);
+
+ /// @}
+}//namespace glm
+
+#include "euler_angles.inl"
diff --git a/external/include/glm/gtx/euler_angles.inl b/external/include/glm/gtx/euler_angles.inl
new file mode 100644
index 0000000..dbe0a48
--- /dev/null
+++ b/external/include/glm/gtx/euler_angles.inl
@@ -0,0 +1,312 @@
+/// @ref gtx_euler_angles
+/// @file glm/gtx/euler_angles.inl
+
+#include "compatibility.hpp" // glm::atan2
+
+namespace glm
+{
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleX
+ (
+ T const & angleX
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+
+ return tmat4x4<T, defaultp>(
+ T(1), T(0), T(0), T(0),
+ T(0), cosX, sinX, T(0),
+ T(0),-sinX, cosX, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleY
+ (
+ T const & angleY
+ )
+ {
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return tmat4x4<T, defaultp>(
+ cosY, T(0), -sinY, T(0),
+ T(0), T(1), T(0), T(0),
+ sinY, T(0), cosY, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZ
+ (
+ T const & angleZ
+ )
+ {
+ T cosZ = glm::cos(angleZ);
+ T sinZ = glm::sin(angleZ);
+
+ return tmat4x4<T, defaultp>(
+ cosZ, sinZ, T(0), T(0),
+ -sinZ, cosZ, T(0), T(0),
+ T(0), T(0), T(1), T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXY
+ (
+ T const & angleX,
+ T const & angleY
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return tmat4x4<T, defaultp>(
+ cosY, -sinX * -sinY, cosX * -sinY, T(0),
+ T(0), cosX, sinX, T(0),
+ sinY, -sinX * cosY, cosX * cosY, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYX
+ (
+ T const & angleY,
+ T const & angleX
+ )
+ {
+ T cosX = glm::cos(angleX);
+ T sinX = glm::sin(angleX);
+ T cosY = glm::cos(angleY);
+ T sinY = glm::sin(angleY);
+
+ return tmat4x4<T, defaultp>(
+ cosY, 0, -sinY, T(0),
+ sinY * sinX, cosX, cosY * sinX, T(0),
+ sinY * cosX, -sinX, cosY * cosX, T(0),
+ T(0), T(0), T(0), T(1));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXZ
+ (
+ T const & angleX,
+ T const & angleZ
+ )
+ {
+ return eulerAngleX(angleX) * eulerAngleZ(angleZ);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZX
+ (
+ T const & angleZ,
+ T const & angleX
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleX(angleX);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYZ
+ (
+ T const & angleY,
+ T const & angleZ
+ )
+ {
+ return eulerAngleY(angleY) * eulerAngleZ(angleZ);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleZY
+ (
+ T const & angleZ,
+ T const & angleY
+ )
+ {
+ return eulerAngleZ(angleZ) * eulerAngleY(angleY);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleXYZ
+ (
+ T const & t1,
+ T const & t2,
+ T const & t3
+ )
+ {
+ T c1 = glm::cos(-t1);
+ T c2 = glm::cos(-t2);
+ T c3 = glm::cos(-t3);
+ T s1 = glm::sin(-t1);
+ T s2 = glm::sin(-t2);
+ T s3 = glm::sin(-t3);
+
+ tmat4x4<T, defaultp> Result;
+ Result[0][0] = c2 * c3;
+ Result[0][1] =-c1 * s3 + s1 * s2 * c3;
+ Result[0][2] = s1 * s3 + c1 * s2 * c3;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = c2 * s3;
+ Result[1][1] = c1 * c3 + s1 * s2 * s3;
+ Result[1][2] =-s1 * c3 + c1 * s2 * s3;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] =-s2;
+ Result[2][1] = s1 * c2;
+ Result[2][2] = c1 * c2;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> eulerAngleYXZ
+ (
+ T const & yaw,
+ T const & pitch,
+ T const & roll
+ )
+ {
+ T tmp_ch = glm::cos(yaw);
+ T tmp_sh = glm::sin(yaw);
+ T tmp_cp = glm::cos(pitch);
+ T tmp_sp = glm::sin(pitch);
+ T tmp_cb = glm::cos(roll);
+ T tmp_sb = glm::sin(roll);
+
+ tmat4x4<T, defaultp> Result;
+ Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+ Result[0][1] = tmp_sb * tmp_cp;
+ Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+ Result[1][1] = tmp_cb * tmp_cp;
+ Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = tmp_sh * tmp_cp;
+ Result[2][1] = -tmp_sp;
+ Result[2][2] = tmp_ch * tmp_cp;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat4x4<T, defaultp> yawPitchRoll
+ (
+ T const & yaw,
+ T const & pitch,
+ T const & roll
+ )
+ {
+ T tmp_ch = glm::cos(yaw);
+ T tmp_sh = glm::sin(yaw);
+ T tmp_cp = glm::cos(pitch);
+ T tmp_sp = glm::sin(pitch);
+ T tmp_cb = glm::cos(roll);
+ T tmp_sb = glm::sin(roll);
+
+ tmat4x4<T, defaultp> Result;
+ Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
+ Result[0][1] = tmp_sb * tmp_cp;
+ Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
+ Result[0][3] = static_cast<T>(0);
+ Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
+ Result[1][1] = tmp_cb * tmp_cp;
+ Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
+ Result[1][3] = static_cast<T>(0);
+ Result[2][0] = tmp_sh * tmp_cp;
+ Result[2][1] = -tmp_sp;
+ Result[2][2] = tmp_ch * tmp_cp;
+ Result[2][3] = static_cast<T>(0);
+ Result[3][0] = static_cast<T>(0);
+ Result[3][1] = static_cast<T>(0);
+ Result[3][2] = static_cast<T>(0);
+ Result[3][3] = static_cast<T>(1);
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat2x2<T, defaultp> orientate2
+ (
+ T const & angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ tmat2x2<T, defaultp> Result;
+ Result[0][0] = c;
+ Result[0][1] = s;
+ Result[1][0] = -s;
+ Result[1][1] = c;
+ return Result;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER tmat3x3<T, defaultp> orientate3
+ (
+ T const & angle
+ )
+ {
+ T c = glm::cos(angle);
+ T s = glm::sin(angle);
+
+ tmat3x3<T, defaultp> Result;
+ Result[0][0] = c;
+ Result[0][1] = s;
+ Result[0][2] = 0.0f;
+ Result[1][0] = -s;
+ Result[1][1] = c;
+ Result[1][2] = 0.0f;
+ Result[2][0] = 0.0f;
+ Result[2][1] = 0.0f;
+ Result[2][2] = 1.0f;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> orientate3
+ (
+ tvec3<T, P> const & angles
+ )
+ {
+ return tmat3x3<T, P>(yawPitchRoll(angles.z, angles.x, angles.y));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> orientate4
+ (
+ tvec3<T, P> const & angles
+ )
+ {
+ return yawPitchRoll(angles.z, angles.x, angles.y);
+ }
+
+ template <typename T>
+ GLM_FUNC_DECL void extractEulerAngleXYZ(tmat4x4<T, defaultp> const & M,
+ T & t1,
+ T & t2,
+ T & t3)
+ {
+ float T1 = glm::atan2<T, defaultp>(M[2][1], M[2][2]);
+ float C2 = glm::sqrt(M[0][0]*M[0][0] + M[1][0]*M[1][0]);
+ float T2 = glm::atan2<T, defaultp>(-M[2][0], C2);
+ float S1 = glm::sin(T1);
+ float C1 = glm::cos(T1);
+ float T3 = glm::atan2<T, defaultp>(S1*M[0][2] - C1*M[0][1], C1*M[1][1] - S1*M[1][2 ]);
+ t1 = -T1;
+ t2 = -T2;
+ t3 = -T3;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/extend.hpp b/external/include/glm/gtx/extend.hpp
new file mode 100644
index 0000000..26837a8
--- /dev/null
+++ b/external/include/glm/gtx/extend.hpp
@@ -0,0 +1,38 @@
+/// @ref gtx_extend
+/// @file glm/gtx/extend.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_extend GLM_GTX_extend
+/// @ingroup gtx
+///
+/// @brief Extend a position from a source to a position at a defined length.
+///
+/// <glm/gtx/extend.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_extend extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_extend
+ /// @{
+
+ /// Extends of Length the Origin position using the (Source - Origin) direction.
+ /// @see gtx_extend
+ template <typename genType>
+ GLM_FUNC_DECL genType extend(
+ genType const & Origin,
+ genType const & Source,
+ typename genType::value_type const Length);
+
+ /// @}
+}//namespace glm
+
+#include "extend.inl"
diff --git a/external/include/glm/gtx/extend.inl b/external/include/glm/gtx/extend.inl
new file mode 100644
index 0000000..3155583
--- /dev/null
+++ b/external/include/glm/gtx/extend.inl
@@ -0,0 +1,49 @@
+/// @ref gtx_extend
+/// @file glm/gtx/extend.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType extend
+ (
+ genType const & Origin,
+ genType const & Source,
+ genType const & Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<T, P> extend
+ (
+ tvec2<T, P> const & Origin,
+ tvec2<T, P> const & Source,
+ T const & Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> extend
+ (
+ tvec3<T, P> const & Origin,
+ tvec3<T, P> const & Source,
+ T const & Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> extend
+ (
+ tvec4<T, P> const & Origin,
+ tvec4<T, P> const & Source,
+ T const & Distance
+ )
+ {
+ return Origin + (Source - Origin) * Distance;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/extended_min_max.hpp b/external/include/glm/gtx/extended_min_max.hpp
new file mode 100644
index 0000000..f4d8859
--- /dev/null
+++ b/external/include/glm/gtx/extended_min_max.hpp
@@ -0,0 +1,133 @@
+/// @ref gtx_extended_min_max
+/// @file glm/gtx/extended_min_max.hpp
+///
+/// @see core (dependence)
+/// @see gtx_half_float (dependence)
+///
+/// @defgroup gtx_extented_min_max GLM_GTX_extented_min_max
+/// @ingroup gtx
+///
+/// Min and max functions for 3 to 4 parameters.
+///
+/// <glm/gtx/extented_min_max.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_extented_min_max extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_extented_min_max
+ /// @{
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T>
+ GLM_FUNC_DECL T min(
+ T const & x,
+ T const & y,
+ T const & z);
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z);
+
+ /// Return the minimum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T>
+ GLM_FUNC_DECL T min(
+ T const & x,
+ T const & y,
+ T const & z,
+ T const & w);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z,
+ typename C<T>::T const & w);
+
+ /// Return the minimum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> min(
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z,
+ C<T> const & w);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T>
+ GLM_FUNC_DECL T max(
+ T const & x,
+ T const & y,
+ T const & z);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z);
+
+ /// Return the maximum component-wise values of 3 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T>
+ GLM_FUNC_DECL T max(
+ T const & x,
+ T const & y,
+ T const & z,
+ T const & w);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z,
+ typename C<T>::T const & w);
+
+ /// Return the maximum component-wise values of 4 inputs
+ /// @see gtx_extented_min_max
+ template <typename T, template <typename> class C>
+ GLM_FUNC_DECL C<T> max(
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z,
+ C<T> const & w);
+
+ /// @}
+}//namespace glm
+
+#include "extended_min_max.inl"
diff --git a/external/include/glm/gtx/extended_min_max.inl b/external/include/glm/gtx/extended_min_max.inl
new file mode 100644
index 0000000..64ea445
--- /dev/null
+++ b/external/include/glm/gtx/extended_min_max.inl
@@ -0,0 +1,140 @@
+/// @ref gtx_extended_min_max
+/// @file glm/gtx/extended_min_max.inl
+
+namespace glm
+{
+ template <typename T>
+ GLM_FUNC_QUALIFIER T min(
+ T const & x,
+ T const & y,
+ T const & z)
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z
+ )
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z
+ )
+ {
+ return glm::min(glm::min(x, y), z);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T min
+ (
+ T const & x,
+ T const & y,
+ T const & z,
+ T const & w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z,
+ typename C<T>::T const & w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> min
+ (
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z,
+ C<T> const & w
+ )
+ {
+ return glm::min(glm::min(x, y), glm::min(z, w));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T max(
+ T const & x,
+ T const & y,
+ T const & z)
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z
+ )
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z
+ )
+ {
+ return glm::max(glm::max(x, y), z);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T max
+ (
+ T const & x,
+ T const & y,
+ T const & z,
+ T const & w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const & x,
+ typename C<T>::T const & y,
+ typename C<T>::T const & z,
+ typename C<T>::T const & w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+
+ template <typename T, template <typename> class C>
+ GLM_FUNC_QUALIFIER C<T> max
+ (
+ C<T> const & x,
+ C<T> const & y,
+ C<T> const & z,
+ C<T> const & w
+ )
+ {
+ return glm::max(glm::max(x, y), glm::max(z, w));
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/fast_exponential.hpp b/external/include/glm/gtx/fast_exponential.hpp
new file mode 100644
index 0000000..ed64a27
--- /dev/null
+++ b/external/include/glm/gtx/fast_exponential.hpp
@@ -0,0 +1,91 @@
+/// @ref gtx_fast_exponential
+/// @file glm/gtx/fast_exponential.hpp
+///
+/// @see core (dependence)
+/// @see gtx_half_float (dependence)
+///
+/// @defgroup gtx_fast_exponential GLM_GTX_fast_exponential
+/// @ingroup gtx
+///
+/// @brief Fast but less accurate implementations of exponential based functions.
+///
+/// <glm/gtx/fast_exponential.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_fast_exponential extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_exponential
+ /// @{
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename genType>
+ GLM_FUNC_DECL genType fastPow(genType x, genType y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastPow(vecType<T, P> const & x, vecType<T, P> const & y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename genTypeT, typename genTypeU>
+ GLM_FUNC_DECL genTypeT fastPow(genTypeT x, genTypeU y);
+
+ /// Faster than the common pow function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastPow(vecType<T, P> const & x);
+
+ /// Faster than the common exp function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T>
+ GLM_FUNC_DECL T fastExp(T x);
+
+ /// Faster than the common exp function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastExp(vecType<T, P> const & x);
+
+ /// Faster than the common log function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T>
+ GLM_FUNC_DECL T fastLog(T x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastLog(vecType<T, P> const & x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T>
+ GLM_FUNC_DECL T fastExp2(T x);
+
+ /// Faster than the common exp2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastExp2(vecType<T, P> const & x);
+
+ /// Faster than the common log2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T>
+ GLM_FUNC_DECL T fastLog2(T x);
+
+ /// Faster than the common log2 function but less accurate.
+ /// @see gtx_fast_exponential
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastLog2(vecType<T, P> const & x);
+
+ /// @}
+}//namespace glm
+
+#include "fast_exponential.inl"
diff --git a/external/include/glm/gtx/fast_exponential.inl b/external/include/glm/gtx/fast_exponential.inl
new file mode 100644
index 0000000..72f9f8f
--- /dev/null
+++ b/external/include/glm/gtx/fast_exponential.inl
@@ -0,0 +1,137 @@
+/// @ref gtx_fast_exponential
+/// @file glm/gtx/fast_exponential.inl
+
+namespace glm
+{
+ // fastPow:
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastPow(genType x, genType y)
+ {
+ return exp(y * log(x));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastPow(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return exp(y * log(x));
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastPow(T x, int y)
+ {
+ T f = static_cast<T>(1);
+ for(int i = 0; i < y; ++i)
+ f *= x;
+ return f;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastPow(vecType<T, P> const & x, vecType<int, P> const & y)
+ {
+ vecType<T, P> Result(uninitialize);
+ for(length_t i = 0, n = x.length(); i < n; ++i)
+ Result[i] = fastPow(x[i], y[i]);
+ return Result;
+ }
+
+ // fastExp
+ // Note: This function provides accurate results only for value between -1 and 1, else avoid it.
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastExp(T x)
+ {
+ // This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+ // return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+ T x2 = x * x;
+ T x3 = x2 * x;
+ T x4 = x3 * x;
+ T x5 = x4 * x;
+ return T(1) + x + (x2 * T(0.5)) + (x3 * T(0.1666666667)) + (x4 * T(0.041666667)) + (x5 * T(0.008333333333));
+ }
+ /* // Try to handle all values of float... but often shower than std::exp, glm::floor and the loop kill the performance
+ GLM_FUNC_QUALIFIER float fastExp(float x)
+ {
+ const float e = 2.718281828f;
+ const float IntegerPart = floor(x);
+ const float FloatPart = x - IntegerPart;
+ float z = 1.f;
+
+ for(int i = 0; i < int(IntegerPart); ++i)
+ z *= e;
+
+ const float x2 = FloatPart * FloatPart;
+ const float x3 = x2 * FloatPart;
+ const float x4 = x3 * FloatPart;
+ const float x5 = x4 * FloatPart;
+ return z * (1.0f + FloatPart + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f));
+ }
+
+ // Increase accuracy on number bigger that 1 and smaller than -1 but it's not enough for high and negative numbers
+ GLM_FUNC_QUALIFIER float fastExp(float x)
+ {
+ // This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
+ // return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
+ float x2 = x * x;
+ float x3 = x2 * x;
+ float x4 = x3 * x;
+ float x5 = x4 * x;
+ float x6 = x5 * x;
+ float x7 = x6 * x;
+ float x8 = x7 * x;
+ return 1.0f + x + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f)+ (x6 * 0.00138888888888f) + (x7 * 0.000198412698f) + (x8 * 0.0000248015873f);;
+ }
+ */
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastExp(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastExp, x);
+ }
+
+ // fastLog
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastLog(genType x)
+ {
+ return std::log(x);
+ }
+
+ /* Slower than the VC7.1 function...
+ GLM_FUNC_QUALIFIER float fastLog(float x)
+ {
+ float y1 = (x - 1.0f) / (x + 1.0f);
+ float y2 = y1 * y1;
+ return 2.0f * y1 * (1.0f + y2 * (0.3333333333f + y2 * (0.2f + y2 * 0.1428571429f)));
+ }
+ */
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastLog(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastLog, x);
+ }
+
+ //fastExp2, ln2 = 0.69314718055994530941723212145818f
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastExp2(genType x)
+ {
+ return fastExp(0.69314718055994530941723212145818f * x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastExp2(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastExp2, x);
+ }
+
+ // fastLog2, ln2 = 0.69314718055994530941723212145818f
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastLog2(genType x)
+ {
+ return fastLog(x) / 0.69314718055994530941723212145818f;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastLog2(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastLog2, x);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/fast_square_root.hpp b/external/include/glm/gtx/fast_square_root.hpp
new file mode 100644
index 0000000..35aa7f3
--- /dev/null
+++ b/external/include/glm/gtx/fast_square_root.hpp
@@ -0,0 +1,88 @@
+/// @ref gtx_fast_square_root
+/// @file glm/gtx/fast_square_root.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_square_root GLM_GTX_fast_square_root
+/// @ingroup gtx
+///
+/// @brief Fast but less accurate implementations of square root based functions.
+/// - Sqrt optimisation based on Newton's method,
+/// www.gamedev.net/community/forums/topic.asp?topic id=139956
+///
+/// <glm/gtx/fast_square_root.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../common.hpp"
+#include "../exponential.hpp"
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_fast_square_root extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_square_root
+ /// @{
+
+ /// Faster than the common sqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType fastSqrt(genType x);
+
+ /// Faster than the common sqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastSqrt(vecType<T, P> const & x);
+
+ /// Faster than the common inversesqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType fastInverseSqrt(genType x);
+
+ /// Faster than the common inversesqrt function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> fastInverseSqrt(vecType<T, P> const & x);
+
+ /// Faster than the common length function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType fastLength(genType x);
+
+ /// Faster than the common length function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T fastLength(vecType<T, P> const & x);
+
+ /// Faster than the common distance function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType fastDistance(genType x, genType y);
+
+ /// Faster than the common distance function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y);
+
+ /// Faster than the common normalize function but less accurate.
+ ///
+ /// @see gtx_fast_square_root extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType fastNormalize(genType const & x);
+
+ /// @}
+}// namespace glm
+
+#include "fast_square_root.inl"
diff --git a/external/include/glm/gtx/fast_square_root.inl b/external/include/glm/gtx/fast_square_root.inl
new file mode 100644
index 0000000..73950ae
--- /dev/null
+++ b/external/include/glm/gtx/fast_square_root.inl
@@ -0,0 +1,81 @@
+/// @ref gtx_fast_square_root
+/// @file glm/gtx/fast_square_root.inl
+
+namespace glm
+{
+ // fastSqrt
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastSqrt(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastSqrt' only accept floating-point input");
+
+ return genType(1) / fastInverseSqrt(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastSqrt(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastSqrt, x);
+ }
+
+ // fastInversesqrt
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastInverseSqrt(genType x)
+ {
+# ifdef __CUDACC__ // Wordaround for a CUDA compiler bug up to CUDA6
+ tvec1<T, P> tmp(detail::compute_inversesqrt<tvec1, genType, lowp, detail::is_aligned<lowp>::value>::call(tvec1<genType, lowp>(x)));
+ return tmp.x;
+# else
+ return detail::compute_inversesqrt<tvec1, genType, highp, detail::is_aligned<highp>::value>::call(tvec1<genType, lowp>(x)).x;
+# endif
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastInverseSqrt(vecType<T, P> const & x)
+ {
+ return detail::compute_inversesqrt<vecType, T, P, detail::is_aligned<P>::value>::call(x);
+ }
+
+ // fastLength
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastLength(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return abs(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T fastLength(vecType<T, P> const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'fastLength' only accept floating-point inputs");
+
+ return fastSqrt(dot(x, x));
+ }
+
+ // fastDistance
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastDistance(genType x, genType y)
+ {
+ return fastLength(y - x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T fastDistance(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return fastLength(y - x);
+ }
+
+ // fastNormalize
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType fastNormalize(genType x)
+ {
+ return x > genType(0) ? genType(1) : -genType(1);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastNormalize(vecType<T, P> const & x)
+ {
+ return x * fastInverseSqrt(dot(x, x));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/fast_trigonometry.hpp b/external/include/glm/gtx/fast_trigonometry.hpp
new file mode 100644
index 0000000..ccb1d22
--- /dev/null
+++ b/external/include/glm/gtx/fast_trigonometry.hpp
@@ -0,0 +1,75 @@
+/// @ref gtx_fast_trigonometry
+/// @file glm/gtx/fast_trigonometry.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_fast_trigonometry GLM_GTX_fast_trigonometry
+/// @ingroup gtx
+///
+/// @brief Fast but less accurate implementations of trigonometric functions.
+///
+/// <glm/gtx/fast_trigonometry.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../gtc/constants.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_fast_trigonometry extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_fast_trigonometry
+ /// @{
+
+ /// Wrap an angle to [0 2pi[
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T wrapAngle(T angle);
+
+ /// Faster than the common sin function but less accurate.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastSin(T angle);
+
+ /// Faster than the common cos function but less accurate.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastCos(T angle);
+
+ /// Faster than the common tan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastTan(T angle);
+
+ /// Faster than the common asin function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastAsin(T angle);
+
+ /// Faster than the common acos function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastAcos(T angle);
+
+ /// Faster than the common atan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastAtan(T y, T x);
+
+ /// Faster than the common atan function but less accurate.
+ /// Defined between -2pi and 2pi.
+ /// From GLM_GTX_fast_trigonometry extension.
+ template <typename T>
+ GLM_FUNC_DECL T fastAtan(T angle);
+
+ /// @}
+}//namespace glm
+
+#include "fast_trigonometry.inl"
diff --git a/external/include/glm/gtx/fast_trigonometry.inl b/external/include/glm/gtx/fast_trigonometry.inl
new file mode 100644
index 0000000..f576c17
--- /dev/null
+++ b/external/include/glm/gtx/fast_trigonometry.inl
@@ -0,0 +1,143 @@
+/// @ref gtx_fast_trigonometry
+/// @file glm/gtx/fast_trigonometry.inl
+
+namespace glm{
+namespace detail
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> taylorCos(vecType<T, P> const & x)
+ {
+ return static_cast<T>(1)
+ - (x * x) / 2.f
+ + (x * x * x * x) / 24.f
+ - (x * x * x * x * x * x) / 720.f
+ + (x * x * x * x * x * x * x * x) / 40320.f;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T cos_52s(T x)
+ {
+ T const xx(x * x);
+ return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095))));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> cos_52s(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(cos_52s, x);
+ }
+}//namespace detail
+
+ // wrapAngle
+ template <typename T>
+ GLM_FUNC_QUALIFIER T wrapAngle(T angle)
+ {
+ return abs<T>(mod<T>(angle, two_pi<T>()));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> wrapAngle(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(wrapAngle, x);
+ }
+
+ // cos
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastCos(T x)
+ {
+ T const angle(wrapAngle<T>(x));
+
+ if(angle < half_pi<T>())
+ return detail::cos_52s(angle);
+ if(angle < pi<T>())
+ return -detail::cos_52s(pi<T>() - angle);
+ if(angle < (T(3) * half_pi<T>()))
+ return -detail::cos_52s(angle - pi<T>());
+
+ return detail::cos_52s(two_pi<T>() - angle);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastCos(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastCos, x);
+ }
+
+ // sin
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastSin(T x)
+ {
+ return fastCos<T>(half_pi<T>() - x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastSin(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastSin, x);
+ }
+
+ // tan
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastTan(T x)
+ {
+ return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastTan(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastTan, x);
+ }
+
+ // asin
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastAsin(T x)
+ {
+ return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastAsin(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastAsin, x);
+ }
+
+ // acos
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastAcos(T x)
+ {
+ return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2)
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastAcos(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastAcos, x);
+ }
+
+ // atan
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastAtan(T y, T x)
+ {
+ T sgn = sign(y) * sign(x);
+ return abs(fastAtan(y / x)) * sgn;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastAtan(vecType<T, P> const & y, vecType<T, P> const & x)
+ {
+ return detail::functor2<T, P, vecType>::call(fastAtan, y, x);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T fastAtan(T x)
+ {
+ return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> fastAtan(vecType<T, P> const & x)
+ {
+ return detail::functor1<T, T, P, vecType>::call(fastAtan, x);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/float_notmalize.inl b/external/include/glm/gtx/float_notmalize.inl
new file mode 100644
index 0000000..4dde025
--- /dev/null
+++ b/external/include/glm/gtx/float_notmalize.inl
@@ -0,0 +1,14 @@
+/// @ref gtx_float_normalize
+/// @file glm/gtx/float_normalize.inl
+
+#include <limits>
+
+namespace glm
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<float, P> floatNormalize(vecType<T, P> const & v)
+ {
+ return vecType<float, P>(v) / static_cast<float>(std::numeric_limits<T>::max());
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/gradient_paint.hpp b/external/include/glm/gtx/gradient_paint.hpp
new file mode 100644
index 0000000..de1f18d
--- /dev/null
+++ b/external/include/glm/gtx/gradient_paint.hpp
@@ -0,0 +1,48 @@
+/// @ref gtx_gradient_paint
+/// @file glm/gtx/gradient_paint.hpp
+///
+/// @see core (dependence)
+/// @see gtx_optimum_pow (dependence)
+///
+/// @defgroup gtx_gradient_paint GLM_GTX_gradient_paint
+/// @ingroup gtx
+///
+/// @brief Functions that return the color of procedural gradient for specific coordinates.
+/// <glm/gtx/gradient_paint.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/optimum_pow.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_gradient_paint extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_gradient_paint
+ /// @{
+
+ /// Return a color from a radial gradient.
+ /// @see - gtx_gradient_paint
+ template <typename T, precision P>
+ GLM_FUNC_DECL T radialGradient(
+ tvec2<T, P> const & Center,
+ T const & Radius,
+ tvec2<T, P> const & Focal,
+ tvec2<T, P> const & Position);
+
+ /// Return a color from a linear gradient.
+ /// @see - gtx_gradient_paint
+ template <typename T, precision P>
+ GLM_FUNC_DECL T linearGradient(
+ tvec2<T, P> const & Point0,
+ tvec2<T, P> const & Point1,
+ tvec2<T, P> const & Position);
+
+ /// @}
+}// namespace glm
+
+#include "gradient_paint.inl"
diff --git a/external/include/glm/gtx/gradient_paint.inl b/external/include/glm/gtx/gradient_paint.inl
new file mode 100644
index 0000000..aaa5ce1
--- /dev/null
+++ b/external/include/glm/gtx/gradient_paint.inl
@@ -0,0 +1,37 @@
+/// @ref gtx_gradient_paint
+/// @file glm/gtx/gradient_paint.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T radialGradient
+ (
+ tvec2<T, P> const & Center,
+ T const & Radius,
+ tvec2<T, P> const & Focal,
+ tvec2<T, P> const & Position
+ )
+ {
+ tvec2<T, P> F = Focal - Center;
+ tvec2<T, P> D = Position - Focal;
+ T Radius2 = pow2(Radius);
+ T Fx2 = pow2(F.x);
+ T Fy2 = pow2(F.y);
+
+ T Numerator = (D.x * F.x + D.y * F.y) + sqrt(Radius2 * (pow2(D.x) + pow2(D.y)) - pow2(D.x * F.y - D.y * F.x));
+ T Denominator = Radius2 - (Fx2 + Fy2);
+ return Numerator / Denominator;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T linearGradient
+ (
+ tvec2<T, P> const & Point0,
+ tvec2<T, P> const & Point1,
+ tvec2<T, P> const & Position
+ )
+ {
+ tvec2<T, P> Dist = Point1 - Point0;
+ return (Dist.x * (Position.x - Point0.x) + Dist.y * (Position.y - Point0.y)) / glm::dot(Dist, Dist);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/handed_coordinate_space.hpp b/external/include/glm/gtx/handed_coordinate_space.hpp
new file mode 100644
index 0000000..2ee5175
--- /dev/null
+++ b/external/include/glm/gtx/handed_coordinate_space.hpp
@@ -0,0 +1,46 @@
+/// @ref gtx_handed_coordinate_space
+/// @file glm/gtx/handed_coordinate_space.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_handed_coordinate_space GLM_GTX_handed_coordinate_space
+/// @ingroup gtx
+///
+/// @brief To know if a set of three basis vectors defines a right or left-handed coordinate system.
+///
+/// <glm/gtx/handed_coordinate_system.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_handed_coordinate_space extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_handed_coordinate_space
+ /// @{
+
+ //! Return if a trihedron right handed or not.
+ //! From GLM_GTX_handed_coordinate_space extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL bool rightHanded(
+ tvec3<T, P> const & tangent,
+ tvec3<T, P> const & binormal,
+ tvec3<T, P> const & normal);
+
+ //! Return if a trihedron left handed or not.
+ //! From GLM_GTX_handed_coordinate_space extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL bool leftHanded(
+ tvec3<T, P> const & tangent,
+ tvec3<T, P> const & binormal,
+ tvec3<T, P> const & normal);
+
+ /// @}
+}// namespace glm
+
+#include "handed_coordinate_space.inl"
diff --git a/external/include/glm/gtx/handed_coordinate_space.inl b/external/include/glm/gtx/handed_coordinate_space.inl
new file mode 100644
index 0000000..2e55653
--- /dev/null
+++ b/external/include/glm/gtx/handed_coordinate_space.inl
@@ -0,0 +1,27 @@
+/// @ref gtx_handed_coordinate_space
+/// @file glm/gtx/handed_coordinate_space.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool rightHanded
+ (
+ tvec3<T, P> const & tangent,
+ tvec3<T, P> const & binormal,
+ tvec3<T, P> const & normal
+ )
+ {
+ return dot(cross(normal, tangent), binormal) > T(0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool leftHanded
+ (
+ tvec3<T, P> const & tangent,
+ tvec3<T, P> const & binormal,
+ tvec3<T, P> const & normal
+ )
+ {
+ return dot(cross(normal, tangent), binormal) < T(0);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/hash.hpp b/external/include/glm/gtx/hash.hpp
new file mode 100644
index 0000000..2262618
--- /dev/null
+++ b/external/include/glm/gtx/hash.hpp
@@ -0,0 +1,134 @@
+/// @ref gtx_hash
+/// @file glm/gtx/hash.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_hash GLM_GTX_hash
+/// @ingroup gtx
+///
+/// @brief Add std::hash support for glm types
+///
+/// <glm/gtx/hash.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+#include <functional>
+
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../gtc/vec1.hpp"
+
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+
+#include "../mat2x2.hpp"
+#include "../mat2x3.hpp"
+#include "../mat2x4.hpp"
+
+#include "../mat3x2.hpp"
+#include "../mat3x3.hpp"
+#include "../mat3x4.hpp"
+
+#include "../mat4x2.hpp"
+#include "../mat4x3.hpp"
+#include "../mat4x4.hpp"
+
+#if !GLM_HAS_CXX11_STL
+# error "GLM_GTX_hash requires C++11 standard library support"
+#endif
+
+namespace std
+{
+ template <typename T, glm::precision P>
+ struct hash<glm::tvec1<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tvec1<T, P> const & v) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tvec2<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tvec2<T, P> const & v) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tvec3<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tvec3<T, P> const & v) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tvec4<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tvec4<T, P> const & v) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tquat<T,P>>
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tquat<T, P> const & q) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tdualquat<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tdualquat<T,P> const & q) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat2x2<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat2x2<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat2x3<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat2x3<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat2x4<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat2x4<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat3x2<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat3x2<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat3x3<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat3x3<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat3x4<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat3x4<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat4x2<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat4x2<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat4x3<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat4x3<T,P> const & m) const;
+ };
+
+ template <typename T, glm::precision P>
+ struct hash<glm::tmat4x4<T,P> >
+ {
+ GLM_FUNC_DECL size_t operator()(glm::tmat4x4<T,P> const & m) const;
+ };
+} // namespace std
+
+#include "hash.inl"
diff --git a/external/include/glm/gtx/hash.inl b/external/include/glm/gtx/hash.inl
new file mode 100644
index 0000000..c42f4f0
--- /dev/null
+++ b/external/include/glm/gtx/hash.inl
@@ -0,0 +1,185 @@
+/// @ref gtx_hash
+/// @file glm/gtx/hash.inl
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_hash GLM_GTX_hash
+/// @ingroup gtx
+///
+/// @brief Add std::hash support for glm types
+///
+/// <glm/gtx/hash.inl> need to be included to use these functionalities.
+
+namespace glm {
+namespace detail
+{
+ GLM_INLINE void hash_combine(size_t &seed, size_t hash)
+ {
+ hash += 0x9e3779b9 + (seed << 6) + (seed >> 2);
+ seed ^= hash;
+ }
+}}
+
+namespace std
+{
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tvec1<T, P>>::operator()(glm::tvec1<T, P> const & v) const
+ {
+ hash<T> hasher;
+ return hasher(v.x);
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tvec2<T, P>>::operator()(glm::tvec2<T, P> const & v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tvec3<T, P>>::operator()(glm::tvec3<T, P> const & v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ glm::detail::hash_combine(seed, hasher(v.z));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tvec4<T, P>>::operator()(glm::tvec4<T, P> const & v) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(v.x));
+ glm::detail::hash_combine(seed, hasher(v.y));
+ glm::detail::hash_combine(seed, hasher(v.z));
+ glm::detail::hash_combine(seed, hasher(v.w));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tquat<T, P>>::operator()(glm::tquat<T,P> const & q) const
+ {
+ size_t seed = 0;
+ hash<T> hasher;
+ glm::detail::hash_combine(seed, hasher(q.x));
+ glm::detail::hash_combine(seed, hasher(q.y));
+ glm::detail::hash_combine(seed, hasher(q.z));
+ glm::detail::hash_combine(seed, hasher(q.w));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tdualquat<T, P>>::operator()(glm::tdualquat<T, P> const & q) const
+ {
+ size_t seed = 0;
+ hash<glm::tquat<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(q.real));
+ glm::detail::hash_combine(seed, hasher(q.dual));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat2x2<T, P>>::operator()(glm::tmat2x2<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec2<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat2x3<T, P>>::operator()(glm::tmat2x3<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec3<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat2x4<T, P>>::operator()(glm::tmat2x4<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec4<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat3x2<T, P>>::operator()(glm::tmat3x2<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec2<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat3x3<T, P>>::operator()(glm::tmat3x3<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec3<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat3x4<T, P>>::operator()(glm::tmat3x4<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec4<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat4x2<T,P>>::operator()(glm::tmat4x2<T,P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec2<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat4x3<T,P>>::operator()(glm::tmat4x3<T,P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec3<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+
+ template <typename T, glm::precision P>
+ GLM_FUNC_QUALIFIER size_t hash<glm::tmat4x4<T,P>>::operator()(glm::tmat4x4<T, P> const & m) const
+ {
+ size_t seed = 0;
+ hash<glm::tvec4<T, P>> hasher;
+ glm::detail::hash_combine(seed, hasher(m[0]));
+ glm::detail::hash_combine(seed, hasher(m[1]));
+ glm::detail::hash_combine(seed, hasher(m[2]));
+ glm::detail::hash_combine(seed, hasher(m[3]));
+ return seed;
+ }
+}
diff --git a/external/include/glm/gtx/integer.hpp b/external/include/glm/gtx/integer.hpp
new file mode 100644
index 0000000..1173a58
--- /dev/null
+++ b/external/include/glm/gtx/integer.hpp
@@ -0,0 +1,72 @@
+/// @ref gtx_integer
+/// @file glm/gtx/integer.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_integer GLM_GTX_integer
+/// @ingroup gtx
+///
+/// @brief Add support for integer for core functions
+///
+/// <glm/gtx/integer.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/integer.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_integer extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_integer
+ /// @{
+
+ //! Returns x raised to the y power.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int pow(int x, int y);
+
+ //! Returns the positive square root of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int sqrt(int x);
+
+ //! Returns the floor log2 of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL unsigned int floor_log2(unsigned int x);
+
+ //! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL int mod(int x, int y);
+
+ //! Return the factorial value of a number (!12 max, integer only)
+ //! From GLM_GTX_integer extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType factorial(genType const & x);
+
+ //! 32bit signed integer.
+ //! From GLM_GTX_integer extension.
+ typedef signed int sint;
+
+ //! Returns x raised to the y power.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint pow(uint x, uint y);
+
+ //! Returns the positive square root of x.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint sqrt(uint x);
+
+ //! Modulus. Returns x - y * floor(x / y) for each component in x using the floating point value y.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint mod(uint x, uint y);
+
+ //! Returns the number of leading zeros.
+ //! From GLM_GTX_integer extension.
+ GLM_FUNC_DECL uint nlz(uint x);
+
+ /// @}
+}//namespace glm
+
+#include "integer.inl"
diff --git a/external/include/glm/gtx/integer.inl b/external/include/glm/gtx/integer.inl
new file mode 100644
index 0000000..3a479e6
--- /dev/null
+++ b/external/include/glm/gtx/integer.inl
@@ -0,0 +1,182 @@
+/// @ref gtx_integer
+/// @file glm/gtx/integer.inl
+
+namespace glm
+{
+ // pow
+ GLM_FUNC_QUALIFIER int pow(int x, int y)
+ {
+ if(y == 0)
+ return 1;
+ int result = x;
+ for(int i = 1; i < y; ++i)
+ result *= x;
+ return result;
+ }
+
+ // sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
+ GLM_FUNC_QUALIFIER int sqrt(int x)
+ {
+ if(x <= 1) return x;
+
+ int NextTrial = x >> 1;
+ int CurrentAnswer;
+
+ do
+ {
+ CurrentAnswer = NextTrial;
+ NextTrial = (NextTrial + x / NextTrial) >> 1;
+ } while(NextTrial < CurrentAnswer);
+
+ return CurrentAnswer;
+ }
+
+// Henry Gordon Dietz: http://aggregate.org/MAGIC/
+namespace detail
+{
+ GLM_FUNC_QUALIFIER unsigned int ones32(unsigned int x)
+ {
+ /* 32-bit recursive reduction using SWAR...
+ but first step is mapping 2-bit values
+ into sum of 2 1-bit values in sneaky way
+ */
+ x -= ((x >> 1) & 0x55555555);
+ x = (((x >> 2) & 0x33333333) + (x & 0x33333333));
+ x = (((x >> 4) + x) & 0x0f0f0f0f);
+ x += (x >> 8);
+ x += (x >> 16);
+ return(x & 0x0000003f);
+ }
+}//namespace detail
+
+ // Henry Gordon Dietz: http://aggregate.org/MAGIC/
+/*
+ GLM_FUNC_QUALIFIER unsigned int floor_log2(unsigned int x)
+ {
+ x |= (x >> 1);
+ x |= (x >> 2);
+ x |= (x >> 4);
+ x |= (x >> 8);
+ x |= (x >> 16);
+
+ return _detail::ones32(x) >> 1;
+ }
+*/
+ // mod
+ GLM_FUNC_QUALIFIER int mod(int x, int y)
+ {
+ return x - y * (x / y);
+ }
+
+ // factorial (!12 max, integer only)
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType factorial(genType const & x)
+ {
+ genType Temp = x;
+ genType Result;
+ for(Result = 1; Temp > 1; --Temp)
+ Result *= Temp;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<T, P> factorial(
+ tvec2<T, P> const & x)
+ {
+ return tvec2<T, P>(
+ factorial(x.x),
+ factorial(x.y));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> factorial(
+ tvec3<T, P> const & x)
+ {
+ return tvec3<T, P>(
+ factorial(x.x),
+ factorial(x.y),
+ factorial(x.z));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> factorial(
+ tvec4<T, P> const & x)
+ {
+ return tvec4<T, P>(
+ factorial(x.x),
+ factorial(x.y),
+ factorial(x.z),
+ factorial(x.w));
+ }
+
+ GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
+ {
+ uint result = x;
+ for(uint i = 1; i < y; ++i)
+ result *= x;
+ return result;
+ }
+
+ GLM_FUNC_QUALIFIER uint sqrt(uint x)
+ {
+ if(x <= 1) return x;
+
+ uint NextTrial = x >> 1;
+ uint CurrentAnswer;
+
+ do
+ {
+ CurrentAnswer = NextTrial;
+ NextTrial = (NextTrial + x / NextTrial) >> 1;
+ } while(NextTrial < CurrentAnswer);
+
+ return CurrentAnswer;
+ }
+
+ GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
+ {
+ return x - y * (x / y);
+ }
+
+#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
+
+ GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
+ {
+ return 31u - findMSB(x);
+ }
+
+#else
+
+ // Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
+ GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
+ {
+ int y, m, n;
+
+ y = -int(x >> 16); // If left half of x is 0,
+ m = (y >> 16) & 16; // set n = 16. If left half
+ n = 16 - m; // is nonzero, set n = 0 and
+ x = x >> m; // shift x right 16.
+ // Now x is of the form 0000xxxx.
+ y = x - 0x100; // If positions 8-15 are 0,
+ m = (y >> 16) & 8; // add 8 to n and shift x left 8.
+ n = n + m;
+ x = x << m;
+
+ y = x - 0x1000; // If positions 12-15 are 0,
+ m = (y >> 16) & 4; // add 4 to n and shift x left 4.
+ n = n + m;
+ x = x << m;
+
+ y = x - 0x4000; // If positions 14-15 are 0,
+ m = (y >> 16) & 2; // add 2 to n and shift x left 2.
+ n = n + m;
+ x = x << m;
+
+ y = x >> 14; // Set y = 0, 1, 2, or 3.
+ m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
+ return unsigned(n + 2 - m);
+ }
+
+#endif//(GLM_COMPILER)
+
+}//namespace glm
diff --git a/external/include/glm/gtx/intersect.hpp b/external/include/glm/gtx/intersect.hpp
new file mode 100644
index 0000000..33b6e99
--- /dev/null
+++ b/external/include/glm/gtx/intersect.hpp
@@ -0,0 +1,87 @@
+/// @ref gtx_intersect
+/// @file glm/gtx/intersect.hpp
+///
+/// @see core (dependence)
+/// @see gtx_closest_point (dependence)
+///
+/// @defgroup gtx_intersect GLM_GTX_intersect
+/// @ingroup gtx
+///
+/// @brief Add intersection functions
+///
+/// <glm/gtx/intersect.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include <cfloat>
+#include <limits>
+#include "../glm.hpp"
+#include "../geometric.hpp"
+#include "../gtx/closest_point.hpp"
+#include "../gtx/vector_query.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_closest_point extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_intersect
+ /// @{
+
+ //! Compute the intersection of a ray and a plane.
+ //! Ray direction and plane normal must be unit length.
+ //! From GLM_GTX_intersect extension.
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectRayPlane(
+ genType const & orig, genType const & dir,
+ genType const & planeOrig, genType const & planeNormal,
+ typename genType::value_type & intersectionDistance);
+
+ //! Compute the intersection of a ray and a triangle.
+ //! From GLM_GTX_intersect extension.
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectRayTriangle(
+ genType const & orig, genType const & dir,
+ genType const & vert0, genType const & vert1, genType const & vert2,
+ genType & baryPosition);
+
+ //! Compute the intersection of a line and a triangle.
+ //! From GLM_GTX_intersect extension.
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectLineTriangle(
+ genType const & orig, genType const & dir,
+ genType const & vert0, genType const & vert1, genType const & vert2,
+ genType & position);
+
+ //! Compute the intersection distance of a ray and a sphere.
+ //! The ray direction vector is unit length.
+ //! From GLM_GTX_intersect extension.
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectRaySphere(
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, typename genType::value_type const sphereRadiusSquered,
+ typename genType::value_type & intersectionDistance);
+
+ //! Compute the intersection of a ray and a sphere.
+ //! From GLM_GTX_intersect extension.
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectRaySphere(
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, const typename genType::value_type sphereRadius,
+ genType & intersectionPosition, genType & intersectionNormal);
+
+ //! Compute the intersection of a line and a sphere.
+ //! From GLM_GTX_intersect extension
+ template <typename genType>
+ GLM_FUNC_DECL bool intersectLineSphere(
+ genType const & point0, genType const & point1,
+ genType const & sphereCenter, typename genType::value_type sphereRadius,
+ genType & intersectionPosition1, genType & intersectionNormal1,
+ genType & intersectionPosition2 = genType(), genType & intersectionNormal2 = genType());
+
+ /// @}
+}//namespace glm
+
+#include "intersect.inl"
diff --git a/external/include/glm/gtx/intersect.inl b/external/include/glm/gtx/intersect.inl
new file mode 100644
index 0000000..904d6cc
--- /dev/null
+++ b/external/include/glm/gtx/intersect.inl
@@ -0,0 +1,170 @@
+/// @ref gtx_intersect
+/// @file glm/gtx/intersect.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRayPlane
+ (
+ genType const & orig, genType const & dir,
+ genType const & planeOrig, genType const & planeNormal,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type d = glm::dot(dir, planeNormal);
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ if(d < -Epsilon)
+ {
+ intersectionDistance = glm::dot(planeOrig - orig, planeNormal) / d;
+ return true;
+ }
+
+ return false;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRayTriangle
+ (
+ genType const & orig, genType const & dir,
+ genType const & v0, genType const & v1, genType const & v2,
+ genType & baryPosition
+ )
+ {
+ genType e1 = v1 - v0;
+ genType e2 = v2 - v0;
+
+ genType p = glm::cross(dir, e2);
+
+ typename genType::value_type a = glm::dot(e1, p);
+
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ if(a < Epsilon && a > -Epsilon)
+ return false;
+
+ typename genType::value_type f = typename genType::value_type(1.0f) / a;
+
+ genType s = orig - v0;
+ baryPosition.x = f * glm::dot(s, p);
+ if(baryPosition.x < typename genType::value_type(0.0f))
+ return false;
+ if(baryPosition.x > typename genType::value_type(1.0f))
+ return false;
+
+ genType q = glm::cross(s, e1);
+ baryPosition.y = f * glm::dot(dir, q);
+ if(baryPosition.y < typename genType::value_type(0.0f))
+ return false;
+ if(baryPosition.y + baryPosition.x > typename genType::value_type(1.0f))
+ return false;
+
+ baryPosition.z = f * glm::dot(e2, q);
+
+ return baryPosition.z >= typename genType::value_type(0.0f);
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineTriangle
+ (
+ genType const & orig, genType const & dir,
+ genType const & vert0, genType const & vert1, genType const & vert2,
+ genType & position
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+
+ genType edge1 = vert1 - vert0;
+ genType edge2 = vert2 - vert0;
+
+ genType pvec = cross(dir, edge2);
+
+ float det = dot(edge1, pvec);
+
+ if (det > -Epsilon && det < Epsilon)
+ return false;
+ float inv_det = typename genType::value_type(1) / det;
+
+ genType tvec = orig - vert0;
+
+ position.y = dot(tvec, pvec) * inv_det;
+ if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
+ return false;
+
+ genType qvec = cross(tvec, edge1);
+
+ position.z = dot(dir, qvec) * inv_det;
+ if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
+ return false;
+
+ position.x = dot(edge2, qvec) * inv_det;
+
+ return true;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, const typename genType::value_type sphereRadiusSquered,
+ typename genType::value_type & intersectionDistance
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType diff = sphereCenter - rayStarting;
+ typename genType::value_type t0 = dot(diff, rayNormalizedDirection);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadiusSquered )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadiusSquered - dSquared );
+ intersectionDistance = t0 > t1 + Epsilon ? t0 - t1 : t0 + t1;
+ return intersectionDistance > Epsilon;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectRaySphere
+ (
+ genType const & rayStarting, genType const & rayNormalizedDirection,
+ genType const & sphereCenter, const typename genType::value_type sphereRadius,
+ genType & intersectionPosition, genType & intersectionNormal
+ )
+ {
+ typename genType::value_type distance;
+ if( intersectRaySphere( rayStarting, rayNormalizedDirection, sphereCenter, sphereRadius * sphereRadius, distance ) )
+ {
+ intersectionPosition = rayStarting + rayNormalizedDirection * distance;
+ intersectionNormal = (intersectionPosition - sphereCenter) / sphereRadius;
+ return true;
+ }
+ return false;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER bool intersectLineSphere
+ (
+ genType const & point0, genType const & point1,
+ genType const & sphereCenter, typename genType::value_type sphereRadius,
+ genType & intersectionPoint1, genType & intersectionNormal1,
+ genType & intersectionPoint2, genType & intersectionNormal2
+ )
+ {
+ typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
+ genType dir = normalize(point1 - point0);
+ genType diff = sphereCenter - point0;
+ typename genType::value_type t0 = dot(diff, dir);
+ typename genType::value_type dSquared = dot(diff, diff) - t0 * t0;
+ if( dSquared > sphereRadius * sphereRadius )
+ {
+ return false;
+ }
+ typename genType::value_type t1 = sqrt( sphereRadius * sphereRadius - dSquared );
+ if( t0 < t1 + Epsilon )
+ t1 = -t1;
+ intersectionPoint1 = point0 + dir * (t0 - t1);
+ intersectionNormal1 = (intersectionPoint1 - sphereCenter) / sphereRadius;
+ intersectionPoint2 = point0 + dir * (t0 + t1);
+ intersectionNormal2 = (intersectionPoint2 - sphereCenter) / sphereRadius;
+ return true;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/io.hpp b/external/include/glm/gtx/io.hpp
new file mode 100644
index 0000000..6aa8415
--- /dev/null
+++ b/external/include/glm/gtx/io.hpp
@@ -0,0 +1,197 @@
+/// @ref gtx_io
+/// @file glm/gtx/io.hpp
+/// @author Jan P Springer (regnirpsj@gmail.com)
+///
+/// @see core (dependence)
+/// @see gtc_matrix_access (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_io GLM_GTX_io
+/// @ingroup gtx
+///
+/// @brief std::[w]ostream support for glm types
+///
+/// std::[w]ostream support for glm types + precision/width/etc. manipulators
+/// based on howard hinnant's std::chrono io proposal
+/// [http://home.roadrunner.com/~hinnant/bloomington/chrono_io.html]
+///
+/// <glm/gtx/io.hpp> needs to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_io extension included")
+#endif
+
+#include <iosfwd> // std::basic_ostream<> (fwd)
+#include <locale> // std::locale, std::locale::facet, std::locale::id
+#include <utility> // std::pair<>
+
+namespace glm
+{
+ /// @addtogroup gtx_io
+ /// @{
+
+ namespace io
+ {
+ enum order_type { column_major, row_major};
+
+ template <typename CTy>
+ class format_punct : public std::locale::facet
+ {
+ typedef CTy char_type;
+
+ public:
+
+ static std::locale::id id;
+
+ bool formatted;
+ unsigned precision;
+ unsigned width;
+ char_type separator;
+ char_type delim_left;
+ char_type delim_right;
+ char_type space;
+ char_type newline;
+ order_type order;
+
+ GLM_FUNC_DECL explicit format_punct(size_t a = 0);
+ GLM_FUNC_DECL explicit format_punct(format_punct const&);
+ };
+
+ template <typename CTy, typename CTr = std::char_traits<CTy> >
+ class basic_state_saver {
+
+ public:
+
+ GLM_FUNC_DECL explicit basic_state_saver(std::basic_ios<CTy,CTr>&);
+ GLM_FUNC_DECL ~basic_state_saver();
+
+ private:
+
+ typedef ::std::basic_ios<CTy,CTr> state_type;
+ typedef typename state_type::char_type char_type;
+ typedef ::std::ios_base::fmtflags flags_type;
+ typedef ::std::streamsize streamsize_type;
+ typedef ::std::locale const locale_type;
+
+ state_type& state_;
+ flags_type flags_;
+ streamsize_type precision_;
+ streamsize_type width_;
+ char_type fill_;
+ locale_type locale_;
+
+ GLM_FUNC_DECL basic_state_saver& operator=(basic_state_saver const&);
+ };
+
+ typedef basic_state_saver<char> state_saver;
+ typedef basic_state_saver<wchar_t> wstate_saver;
+
+ template <typename CTy, typename CTr = std::char_traits<CTy> >
+ class basic_format_saver
+ {
+ public:
+
+ GLM_FUNC_DECL explicit basic_format_saver(std::basic_ios<CTy,CTr>&);
+ GLM_FUNC_DECL ~basic_format_saver();
+
+ private:
+
+ basic_state_saver<CTy> const bss_;
+
+ GLM_FUNC_DECL basic_format_saver& operator=(basic_format_saver const&);
+ };
+
+ typedef basic_format_saver<char> format_saver;
+ typedef basic_format_saver<wchar_t> wformat_saver;
+
+ struct precision
+ {
+ unsigned value;
+
+ GLM_FUNC_DECL explicit precision(unsigned);
+ };
+
+ struct width
+ {
+ unsigned value;
+
+ GLM_FUNC_DECL explicit width(unsigned);
+ };
+
+ template <typename CTy>
+ struct delimeter
+ {
+ CTy value[3];
+
+ GLM_FUNC_DECL explicit delimeter(CTy /* left */, CTy /* right */, CTy /* separator */ = ',');
+ };
+
+ struct order
+ {
+ order_type value;
+
+ GLM_FUNC_DECL explicit order(order_type);
+ };
+
+ // functions, inlined (inline)
+
+ template <typename FTy, typename CTy, typename CTr>
+ FTy const& get_facet(std::basic_ios<CTy,CTr>&);
+ template <typename FTy, typename CTy, typename CTr>
+ std::basic_ios<CTy,CTr>& formatted(std::basic_ios<CTy,CTr>&);
+ template <typename FTy, typename CTy, typename CTr>
+ std::basic_ios<CTy,CTr>& unformattet(std::basic_ios<CTy,CTr>&);
+
+ template <typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, precision const&);
+ template <typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, width const&);
+ template <typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, delimeter<CTy> const&);
+ template <typename CTy, typename CTr>
+ std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>&, order const&);
+ }//namespace io
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tquat<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec1<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec2<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec3<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tvec4<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x2<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x3<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat2x4<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x2<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x3<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat3x4<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x2<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x3<T,P> const&);
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>&, tmat4x4<T,P> const&);
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_DECL std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr> &,
+ std::pair<tmat4x4<T,P> const, tmat4x4<T,P> const> const &);
+
+ /// @}
+}//namespace glm
+
+#include "io.inl"
diff --git a/external/include/glm/gtx/io.inl b/external/include/glm/gtx/io.inl
new file mode 100644
index 0000000..9b70a5f
--- /dev/null
+++ b/external/include/glm/gtx/io.inl
@@ -0,0 +1,441 @@
+/// @ref gtx_io
+/// @file glm/gtx/io.inl
+/// @author Jan P Springer (regnirpsj@gmail.com)
+
+#include <iomanip> // std::fixed, std::setfill<>, std::setprecision, std::right, std::setw
+#include <ostream> // std::basic_ostream<>
+#include "../gtc/matrix_access.hpp" // glm::col, glm::row
+#include "../gtx/type_trait.hpp" // glm::type<>
+
+namespace glm{
+namespace io
+{
+ template <typename CTy>
+ GLM_FUNC_QUALIFIER format_punct<CTy>::format_punct(size_t a)
+ : std::locale::facet(a)
+ , formatted(true)
+ , precision(3)
+ , width(1 + 4 + 1 + precision)
+ , separator(',')
+ , delim_left('[')
+ , delim_right(']')
+ , space(' ')
+ , newline('\n')
+ , order(column_major)
+ {}
+
+ template <typename CTy>
+ GLM_FUNC_QUALIFIER format_punct<CTy>::format_punct(format_punct const& a)
+ : std::locale::facet(0)
+ , formatted(a.formatted)
+ , precision(a.precision)
+ , width(a.width)
+ , separator(a.separator)
+ , delim_left(a.delim_left)
+ , delim_right(a.delim_right)
+ , space(a.space)
+ , newline(a.newline)
+ , order(a.order)
+ {}
+
+ template <typename CTy> std::locale::id format_punct<CTy>::id;
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_state_saver<CTy, CTr>::basic_state_saver(std::basic_ios<CTy, CTr>& a)
+ : state_(a)
+ , flags_(a.flags())
+ , precision_(a.precision())
+ , width_(a.width())
+ , fill_(a.fill())
+ , locale_(a.getloc())
+ {}
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_state_saver<CTy, CTr>::~basic_state_saver()
+ {
+ state_.imbue(locale_);
+ state_.fill(fill_);
+ state_.width(width_);
+ state_.precision(precision_);
+ state_.flags(flags_);
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER basic_format_saver<CTy, CTr>::basic_format_saver(std::basic_ios<CTy, CTr>& a)
+ : bss_(a)
+ {
+ a.imbue(std::locale(a.getloc(), new format_punct<CTy>(get_facet<format_punct<CTy> >(a))));
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER
+ basic_format_saver<CTy, CTr>::~basic_format_saver()
+ {}
+
+ GLM_FUNC_QUALIFIER precision::precision(unsigned a)
+ : value(a)
+ {}
+
+ GLM_FUNC_QUALIFIER width::width(unsigned a)
+ : value(a)
+ {}
+
+ template <typename CTy>
+ GLM_FUNC_QUALIFIER delimeter<CTy>::delimeter(CTy a, CTy b, CTy c)
+ : value()
+ {
+ value[0] = a;
+ value[1] = b;
+ value[2] = c;
+ }
+
+ GLM_FUNC_QUALIFIER order::order(order_type a)
+ : value(a)
+ {}
+
+ template <typename FTy, typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER FTy const& get_facet(std::basic_ios<CTy, CTr>& ios)
+ {
+ if(!std::has_facet<FTy>(ios.getloc()))
+ ios.imbue(std::locale(ios.getloc(), new FTy));
+
+ return std::use_facet<FTy>(ios.getloc());
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ios<CTy, CTr>& formatted(std::basic_ios<CTy, CTr>& ios)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = true;
+ return ios;
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ios<CTy, CTr>& unformatted(std::basic_ios<CTy, CTr>& ios)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(ios)).formatted = false;
+ return ios;
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, precision const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).precision = a.value;
+ return os;
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, width const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).width = a.value;
+ return os;
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, delimeter<CTy> const& a)
+ {
+ format_punct<CTy> & fmt(const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)));
+
+ fmt.delim_left = a.value[0];
+ fmt.delim_right = a.value[1];
+ fmt.separator = a.value[2];
+
+ return os;
+ }
+
+ template <typename CTy, typename CTr>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(std::basic_ostream<CTy, CTr>& os, order const& a)
+ {
+ const_cast<format_punct<CTy>&>(get_facet<format_punct<CTy> >(os)).order = a.value;
+ return os;
+ }
+} // namespace io
+
+namespace detail
+{
+ template <typename CTy, typename CTr, template <typename, precision> class V, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>&
+ print_vector_on(std::basic_ostream<CTy, CTr>& os, V<T,P> const& a)
+ {
+ typename std::basic_ostream<CTy, CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+ length_t const& components(type<V, T, P>::components);
+
+ if(fmt.formatted)
+ {
+ io::basic_state_saver<CTy> const bss(os);
+
+ os << std::fixed << std::right << std::setprecision(fmt.precision) << std::setfill(fmt.space) << fmt.delim_left;
+
+ for(length_t i(0); i < components; ++i)
+ {
+ os << std::setw(fmt.width) << a[i];
+ if(components-1 != i)
+ os << fmt.separator;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ for(length_t i(0); i < components; ++i)
+ {
+ os << a[i];
+
+ if(components-1 != i)
+ os << fmt.space;
+ }
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tquat<T,P> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec1<T,P> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec2<T,P> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec3<T,P> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tvec4<T,P> const& a)
+ {
+ return detail::print_vector_on(os, a);
+ }
+
+namespace detail
+{
+ template <typename CTy, typename CTr, template <typename, precision> class M, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& print_matrix_on(std::basic_ostream<CTy, CTr>& os, M<T,P> const& a)
+ {
+ typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const & fmt(io::get_facet<io::format_punct<CTy> >(os));
+
+ length_t const& cols(type<M, T, P>::cols);
+ length_t const& rows(type<M, T, P>::rows);
+
+ if(fmt.formatted)
+ {
+ os << fmt.newline << fmt.delim_left;
+
+ switch(fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < rows; ++i)
+ {
+ if (0 != i)
+ os << fmt.space;
+
+ os << row(a, i);
+
+ if(rows-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+
+ case io::row_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << column(a, i);
+
+ if(cols-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ switch (fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ os << column(a, i);
+
+ if(cols - 1 != i)
+ os << fmt.space;
+ }
+ }
+ break;
+
+ case io::row_major:
+ {
+ for (length_t i(0); i < rows; ++i)
+ {
+ os << row(a, i);
+
+ if (rows-1 != i)
+ os << fmt.space;
+ }
+ }
+ break;
+ }
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x2<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x3<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat2x4<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x2<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr>& operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x3<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat3x4<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x2<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x3<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy,CTr> & operator<<(std::basic_ostream<CTy,CTr>& os, tmat4x4<T,P> const& a)
+ {
+ return detail::print_matrix_on(os, a);
+ }
+
+namespace detail
+{
+ template <typename CTy, typename CTr, template <typename, precision> class M, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& print_matrix_pair_on(std::basic_ostream<CTy, CTr>& os, std::pair<M<T, P> const, M<T, P> const> const& a)
+ {
+ typename std::basic_ostream<CTy,CTr>::sentry const cerberus(os);
+
+ if(cerberus)
+ {
+ io::format_punct<CTy> const& fmt(io::get_facet<io::format_punct<CTy> >(os));
+ M<T,P> const& ml(a.first);
+ M<T,P> const& mr(a.second);
+ length_t const& cols(type<M, T, P>::cols);
+ length_t const& rows(type<M, T, P>::rows);
+
+ if(fmt.formatted)
+ {
+ os << fmt.newline << fmt.delim_left;
+
+ switch(fmt.order)
+ {
+ case io::column_major:
+ {
+ for(length_t i(0); i < rows; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << row(ml, i) << ((rows-1 != i) ? fmt.space : fmt.delim_right) << fmt.space << ((0 != i) ? fmt.space : fmt.delim_left) << row(mr, i);
+
+ if(rows-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ case io::row_major:
+ {
+ for(length_t i(0); i < cols; ++i)
+ {
+ if(0 != i)
+ os << fmt.space;
+
+ os << column(ml, i) << ((cols-1 != i) ? fmt.space : fmt.delim_right) << fmt.space << ((0 != i) ? fmt.space : fmt.delim_left) << column(mr, i);
+
+ if(cols-1 != i)
+ os << fmt.newline;
+ }
+ }
+ break;
+ }
+
+ os << fmt.delim_right;
+ }
+ else
+ {
+ os << ml << fmt.space << mr;
+ }
+ }
+
+ return os;
+ }
+}//namespace detail
+
+ template <typename CTy, typename CTr, typename T, precision P>
+ GLM_FUNC_QUALIFIER std::basic_ostream<CTy, CTr>& operator<<(
+ std::basic_ostream<CTy, CTr> & os,
+ std::pair<tmat4x4<T, P> const,
+ tmat4x4<T, P> const> const& a)
+ {
+ return detail::print_matrix_pair_on(os, a);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/log_base.hpp b/external/include/glm/gtx/log_base.hpp
new file mode 100644
index 0000000..7958fc3
--- /dev/null
+++ b/external/include/glm/gtx/log_base.hpp
@@ -0,0 +1,44 @@
+/// @ref gtx_log_base
+/// @file glm/gtx/log_base.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_log_base GLM_GTX_log_base
+/// @ingroup gtx
+///
+/// @brief Logarithm for any base. base can be a vector or a scalar.
+///
+/// <glm/gtx/log_base.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_log_base extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_log_base
+ /// @{
+
+ /// Logarithm for any base.
+ /// From GLM_GTX_log_base.
+ template <typename genType>
+ GLM_FUNC_DECL genType log(
+ genType const & x,
+ genType const & base);
+
+ /// Logarithm for any base.
+ /// From GLM_GTX_log_base.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<T, P> sign(
+ vecType<T, P> const & x,
+ vecType<T, P> const & base);
+
+ /// @}
+}//namespace glm
+
+#include "log_base.inl"
diff --git a/external/include/glm/gtx/log_base.inl b/external/include/glm/gtx/log_base.inl
new file mode 100644
index 0000000..8005d1b
--- /dev/null
+++ b/external/include/glm/gtx/log_base.inl
@@ -0,0 +1,18 @@
+/// @ref gtx_log_base
+/// @file glm/gtx/log_base.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType log(genType const & x, genType const & base)
+ {
+ assert(x != genType(0));
+ return glm::log(x) / glm::log(base);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> log(vecType<T, P> const & x, vecType<T, P> const & base)
+ {
+ return glm::log(x) / glm::log(base);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_cross_product.hpp b/external/include/glm/gtx/matrix_cross_product.hpp
new file mode 100644
index 0000000..d920f4e
--- /dev/null
+++ b/external/include/glm/gtx/matrix_cross_product.hpp
@@ -0,0 +1,43 @@
+/// @ref gtx_matrix_cross_product
+/// @file glm/gtx/matrix_cross_product.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_cross_product GLM_GTX_matrix_cross_product
+/// @ingroup gtx
+///
+/// @brief Build cross product matrices
+///
+/// <glm/gtx/matrix_cross_product.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_cross_product extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_cross_product
+ /// @{
+
+ //! Build a cross product matrix.
+ //! From GLM_GTX_matrix_cross_product extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> matrixCross3(
+ tvec3<T, P> const & x);
+
+ //! Build a cross product matrix.
+ //! From GLM_GTX_matrix_cross_product extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> matrixCross4(
+ tvec3<T, P> const & x);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_cross_product.inl"
diff --git a/external/include/glm/gtx/matrix_cross_product.inl b/external/include/glm/gtx/matrix_cross_product.inl
new file mode 100644
index 0000000..16f07e9
--- /dev/null
+++ b/external/include/glm/gtx/matrix_cross_product.inl
@@ -0,0 +1,38 @@
+/// @ref gtx_matrix_cross_product
+/// @file glm/gtx/matrix_cross_product.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> matrixCross3
+ (
+ tvec3<T, P> const & x
+ )
+ {
+ tmat3x3<T, P> Result(T(0));
+ Result[0][1] = x.z;
+ Result[1][0] = -x.z;
+ Result[0][2] = -x.y;
+ Result[2][0] = x.y;
+ Result[1][2] = x.x;
+ Result[2][1] = -x.x;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> matrixCross4
+ (
+ tvec3<T, P> const & x
+ )
+ {
+ tmat4x4<T, P> Result(T(0));
+ Result[0][1] = x.z;
+ Result[1][0] = -x.z;
+ Result[0][2] = -x.y;
+ Result[2][0] = x.y;
+ Result[1][2] = x.x;
+ Result[2][1] = -x.x;
+ return Result;
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_decompose.hpp b/external/include/glm/gtx/matrix_decompose.hpp
new file mode 100644
index 0000000..e163f5a
--- /dev/null
+++ b/external/include/glm/gtx/matrix_decompose.hpp
@@ -0,0 +1,42 @@
+/// @ref gtx_matrix_decompose
+/// @file glm/gtx/matrix_decompose.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_decompose GLM_GTX_matrix_decompose
+/// @ingroup gtx
+///
+/// @brief Decomposes a model matrix to translations, rotation and scale components
+///
+/// <glm/gtx/matrix_decompose.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../mat4x4.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../geometric.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtc/matrix_transform.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_decompose extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_decompose
+ /// @{
+
+ /// Decomposes a model matrix to translations, rotation and scale components
+ /// @see gtx_matrix_decompose
+ template <typename T, precision P>
+ GLM_FUNC_DECL bool decompose(
+ tmat4x4<T, P> const & modelMatrix,
+ tvec3<T, P> & scale, tquat<T, P> & orientation, tvec3<T, P> & translation, tvec3<T, P> & skew, tvec4<T, P> & perspective);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_decompose.inl"
diff --git a/external/include/glm/gtx/matrix_decompose.inl b/external/include/glm/gtx/matrix_decompose.inl
new file mode 100644
index 0000000..7194e9d
--- /dev/null
+++ b/external/include/glm/gtx/matrix_decompose.inl
@@ -0,0 +1,194 @@
+/// @ref gtx_matrix_decompose
+/// @file glm/gtx/matrix_decompose.inl
+
+namespace glm{
+namespace detail
+{
+ /// Make a linear combination of two vectors and return the result.
+ // result = (a * ascl) + (b * bscl)
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> combine(
+ tvec3<T, P> const & a,
+ tvec3<T, P> const & b,
+ T ascl, T bscl)
+ {
+ return (a * ascl) + (b * bscl);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> scale(tvec3<T, P> const& v, T desiredLength)
+ {
+ return v * desiredLength / length(v);
+ }
+}//namespace detail
+
+ // Matrix decompose
+ // http://www.opensource.apple.com/source/WebCore/WebCore-514/platform/graphics/transforms/TransformationMatrix.cpp
+ // Decomposes the mode matrix to translations,rotation scale components
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER bool decompose(tmat4x4<T, P> const & ModelMatrix, tvec3<T, P> & Scale, tquat<T, P> & Orientation, tvec3<T, P> & Translation, tvec3<T, P> & Skew, tvec4<T, P> & Perspective)
+ {
+ tmat4x4<T, P> LocalMatrix(ModelMatrix);
+
+ // Normalize the matrix.
+ if(LocalMatrix[3][3] == static_cast<T>(0))
+ return false;
+
+ for(length_t i = 0; i < 4; ++i)
+ for(length_t j = 0; j < 4; ++j)
+ LocalMatrix[i][j] /= LocalMatrix[3][3];
+
+ // perspectiveMatrix is used to solve for perspective, but it also provides
+ // an easy way to test for singularity of the upper 3x3 component.
+ tmat4x4<T, P> PerspectiveMatrix(LocalMatrix);
+
+ for(length_t i = 0; i < 3; i++)
+ PerspectiveMatrix[i][3] = static_cast<T>(0);
+ PerspectiveMatrix[3][3] = static_cast<T>(1);
+
+ /// TODO: Fixme!
+ if(determinant(PerspectiveMatrix) == static_cast<T>(0))
+ return false;
+
+ // First, isolate perspective. This is the messiest.
+ if(LocalMatrix[0][3] != static_cast<T>(0) || LocalMatrix[1][3] != static_cast<T>(0) || LocalMatrix[2][3] != static_cast<T>(0))
+ {
+ // rightHandSide is the right hand side of the equation.
+ tvec4<T, P> RightHandSide;
+ RightHandSide[0] = LocalMatrix[0][3];
+ RightHandSide[1] = LocalMatrix[1][3];
+ RightHandSide[2] = LocalMatrix[2][3];
+ RightHandSide[3] = LocalMatrix[3][3];
+
+ // Solve the equation by inverting PerspectiveMatrix and multiplying
+ // rightHandSide by the inverse. (This is the easiest way, not
+ // necessarily the best.)
+ tmat4x4<T, P> InversePerspectiveMatrix = glm::inverse(PerspectiveMatrix);// inverse(PerspectiveMatrix, inversePerspectiveMatrix);
+ tmat4x4<T, P> TransposedInversePerspectiveMatrix = glm::transpose(InversePerspectiveMatrix);// transposeMatrix4(inversePerspectiveMatrix, transposedInversePerspectiveMatrix);
+
+ Perspective = TransposedInversePerspectiveMatrix * RightHandSide;
+ // v4MulPointByMatrix(rightHandSide, transposedInversePerspectiveMatrix, perspectivePoint);
+
+ // Clear the perspective partition
+ LocalMatrix[0][3] = LocalMatrix[1][3] = LocalMatrix[2][3] = static_cast<T>(0);
+ LocalMatrix[3][3] = static_cast<T>(1);
+ }
+ else
+ {
+ // No perspective.
+ Perspective = tvec4<T, P>(0, 0, 0, 1);
+ }
+
+ // Next take care of translation (easy).
+ Translation = tvec3<T, P>(LocalMatrix[3]);
+ LocalMatrix[3] = tvec4<T, P>(0, 0, 0, LocalMatrix[3].w);
+
+ tvec3<T, P> Row[3], Pdum3;
+
+ // Now get scale and shear.
+ for(length_t i = 0; i < 3; ++i)
+ for(int j = 0; j < 3; ++j)
+ Row[i][j] = LocalMatrix[i][j];
+
+ // Compute X scale factor and normalize first row.
+ Scale.x = length(Row[0]);// v3Length(Row[0]);
+
+ Row[0] = detail::scale(Row[0], static_cast<T>(1));
+
+ // Compute XY shear factor and make 2nd row orthogonal to 1st.
+ Skew.z = dot(Row[0], Row[1]);
+ Row[1] = detail::combine(Row[1], Row[0], static_cast<T>(1), -Skew.z);
+
+ // Now, compute Y scale and normalize 2nd row.
+ Scale.y = length(Row[1]);
+ Row[1] = detail::scale(Row[1], static_cast<T>(1));
+ Skew.z /= Scale.y;
+
+ // Compute XZ and YZ shears, orthogonalize 3rd row.
+ Skew.y = glm::dot(Row[0], Row[2]);
+ Row[2] = detail::combine(Row[2], Row[0], static_cast<T>(1), -Skew.y);
+ Skew.x = glm::dot(Row[1], Row[2]);
+ Row[2] = detail::combine(Row[2], Row[1], static_cast<T>(1), -Skew.x);
+
+ // Next, get Z scale and normalize 3rd row.
+ Scale.z = length(Row[2]);
+ Row[2] = detail::scale(Row[2], static_cast<T>(1));
+ Skew.y /= Scale.z;
+ Skew.x /= Scale.z;
+
+ // At this point, the matrix (in rows[]) is orthonormal.
+ // Check for a coordinate system flip. If the determinant
+ // is -1, then negate the matrix and the scaling factors.
+ Pdum3 = cross(Row[1], Row[2]); // v3Cross(row[1], row[2], Pdum3);
+ if(dot(Row[0], Pdum3) < 0)
+ {
+ for(length_t i = 0; i < 3; i++)
+ {
+ Scale[i] *= static_cast<T>(-1);
+ Row[i] *= static_cast<T>(-1);
+ }
+ }
+
+ // Now, get the rotations out, as described in the gem.
+
+ // FIXME - Add the ability to return either quaternions (which are
+ // easier to recompose with) or Euler angles (rx, ry, rz), which
+ // are easier for authors to deal with. The latter will only be useful
+ // when we fix https://bugs.webkit.org/show_bug.cgi?id=23799, so I
+ // will leave the Euler angle code here for now.
+
+ // ret.rotateY = asin(-Row[0][2]);
+ // if (cos(ret.rotateY) != 0) {
+ // ret.rotateX = atan2(Row[1][2], Row[2][2]);
+ // ret.rotateZ = atan2(Row[0][1], Row[0][0]);
+ // } else {
+ // ret.rotateX = atan2(-Row[2][0], Row[1][1]);
+ // ret.rotateZ = 0;
+ // }
+
+ T s, t, x, y, z, w;
+
+ t = Row[0][0] + Row[1][1] + Row[2][2] + static_cast<T>(1);
+
+ if(t > static_cast<T>(1e-4))
+ {
+ s = static_cast<T>(0.5) / sqrt(t);
+ w = static_cast<T>(0.25) / s;
+ x = (Row[2][1] - Row[1][2]) * s;
+ y = (Row[0][2] - Row[2][0]) * s;
+ z = (Row[1][0] - Row[0][1]) * s;
+ }
+ else if(Row[0][0] > Row[1][1] && Row[0][0] > Row[2][2])
+ {
+ s = sqrt (static_cast<T>(1) + Row[0][0] - Row[1][1] - Row[2][2]) * static_cast<T>(2); // S=4*qx
+ x = static_cast<T>(0.25) * s;
+ y = (Row[0][1] + Row[1][0]) / s;
+ z = (Row[0][2] + Row[2][0]) / s;
+ w = (Row[2][1] - Row[1][2]) / s;
+ }
+ else if(Row[1][1] > Row[2][2])
+ {
+ s = sqrt (static_cast<T>(1) + Row[1][1] - Row[0][0] - Row[2][2]) * static_cast<T>(2); // S=4*qy
+ x = (Row[0][1] + Row[1][0]) / s;
+ y = static_cast<T>(0.25) * s;
+ z = (Row[1][2] + Row[2][1]) / s;
+ w = (Row[0][2] - Row[2][0]) / s;
+ }
+ else
+ {
+ s = sqrt(static_cast<T>(1) + Row[2][2] - Row[0][0] - Row[1][1]) * static_cast<T>(2); // S=4*qz
+ x = (Row[0][2] + Row[2][0]) / s;
+ y = (Row[1][2] + Row[2][1]) / s;
+ z = static_cast<T>(0.25) * s;
+ w = (Row[1][0] - Row[0][1]) / s;
+ }
+
+ Orientation.x = x;
+ Orientation.y = y;
+ Orientation.z = z;
+ Orientation.w = w;
+
+ return true;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_interpolation.hpp b/external/include/glm/gtx/matrix_interpolation.hpp
new file mode 100644
index 0000000..77a69ea
--- /dev/null
+++ b/external/include/glm/gtx/matrix_interpolation.hpp
@@ -0,0 +1,61 @@
+/// @ref gtx_matrix_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+/// @author Ghenadii Ursachi (the.asteroth@gmail.com)
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_interpolation GLM_GTX_matrix_interpolation
+/// @ingroup gtx
+///
+/// @brief Allows to directly interpolate two exiciting matrices.
+///
+/// <glm/gtx/matrix_interpolation.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_interpolation extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_interpolation
+ /// @{
+
+ /// Get the axis and angle of the rotation from a matrix.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL void axisAngle(
+ tmat4x4<T, P> const & mat,
+ tvec3<T, P> & axis,
+ T & angle);
+
+ /// Build a matrix from axis and angle.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> axisAngleMatrix(
+ tvec3<T, P> const & axis,
+ T const angle);
+
+ /// Extracts the rotation part of a matrix.
+ /// From GLM_GTX_matrix_interpolation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> extractMatrixRotation(
+ tmat4x4<T, P> const & mat);
+
+ /// Build a interpolation of 4 * 4 matrixes.
+ /// From GLM_GTX_matrix_interpolation extension.
+ /// Warning! works only with rotation and/or translation matrixes, scale will generate unexpected results.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> interpolate(
+ tmat4x4<T, P> const & m1,
+ tmat4x4<T, P> const & m2,
+ T const delta);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_interpolation.inl"
diff --git a/external/include/glm/gtx/matrix_interpolation.inl b/external/include/glm/gtx/matrix_interpolation.inl
new file mode 100644
index 0000000..8645f96
--- /dev/null
+++ b/external/include/glm/gtx/matrix_interpolation.inl
@@ -0,0 +1,134 @@
+/// @ref gtx_matrix_interpolation
+/// @file glm/gtx/matrix_interpolation.hpp
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER void axisAngle
+ (
+ tmat4x4<T, P> const & mat,
+ tvec3<T, P> & axis,
+ T & angle
+ )
+ {
+ T epsilon = (T)0.01;
+ T epsilon2 = (T)0.1;
+
+ if((abs(mat[1][0] - mat[0][1]) < epsilon) && (abs(mat[2][0] - mat[0][2]) < epsilon) && (abs(mat[2][1] - mat[1][2]) < epsilon))
+ {
+ if ((abs(mat[1][0] + mat[0][1]) < epsilon2) && (abs(mat[2][0] + mat[0][2]) < epsilon2) && (abs(mat[2][1] + mat[1][2]) < epsilon2) && (abs(mat[0][0] + mat[1][1] + mat[2][2] - (T)3.0) < epsilon2))
+ {
+ angle = (T)0.0;
+ axis.x = (T)1.0;
+ axis.y = (T)0.0;
+ axis.z = (T)0.0;
+ return;
+ }
+ angle = static_cast<T>(3.1415926535897932384626433832795);
+ T xx = (mat[0][0] + (T)1.0) / (T)2.0;
+ T yy = (mat[1][1] + (T)1.0) / (T)2.0;
+ T zz = (mat[2][2] + (T)1.0) / (T)2.0;
+ T xy = (mat[1][0] + mat[0][1]) / (T)4.0;
+ T xz = (mat[2][0] + mat[0][2]) / (T)4.0;
+ T yz = (mat[2][1] + mat[1][2]) / (T)4.0;
+ if((xx > yy) && (xx > zz))
+ {
+ if (xx < epsilon) {
+ axis.x = (T)0.0;
+ axis.y = (T)0.7071;
+ axis.z = (T)0.7071;
+ } else {
+ axis.x = sqrt(xx);
+ axis.y = xy / axis.x;
+ axis.z = xz / axis.x;
+ }
+ }
+ else if (yy > zz)
+ {
+ if (yy < epsilon) {
+ axis.x = (T)0.7071;
+ axis.y = (T)0.0;
+ axis.z = (T)0.7071;
+ } else {
+ axis.y = sqrt(yy);
+ axis.x = xy / axis.y;
+ axis.z = yz / axis.y;
+ }
+ }
+ else
+ {
+ if (zz < epsilon) {
+ axis.x = (T)0.7071;
+ axis.y = (T)0.7071;
+ axis.z = (T)0.0;
+ } else {
+ axis.z = sqrt(zz);
+ axis.x = xz / axis.z;
+ axis.y = yz / axis.z;
+ }
+ }
+ return;
+ }
+ T s = sqrt((mat[2][1] - mat[1][2]) * (mat[2][1] - mat[1][2]) + (mat[2][0] - mat[0][2]) * (mat[2][0] - mat[0][2]) + (mat[1][0] - mat[0][1]) * (mat[1][0] - mat[0][1]));
+ if (glm::abs(s) < T(0.001))
+ s = (T)1.0;
+ angle = acos((mat[0][0] + mat[1][1] + mat[2][2] - (T)1.0) / (T)2.0);
+ axis.x = (mat[1][2] - mat[2][1]) / s;
+ axis.y = (mat[2][0] - mat[0][2]) / s;
+ axis.z = (mat[0][1] - mat[1][0]) / s;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> axisAngleMatrix
+ (
+ tvec3<T, P> const & axis,
+ T const angle
+ )
+ {
+ T c = cos(angle);
+ T s = sin(angle);
+ T t = static_cast<T>(1) - c;
+ tvec3<T, P> n = normalize(axis);
+
+ return tmat4x4<T, P>(
+ t * n.x * n.x + c, t * n.x * n.y + n.z * s, t * n.x * n.z - n.y * s, T(0),
+ t * n.x * n.y - n.z * s, t * n.y * n.y + c, t * n.y * n.z + n.x * s, T(0),
+ t * n.x * n.z + n.y * s, t * n.y * n.z - n.x * s, t * n.z * n.z + c, T(0),
+ T(0), T(0), T(0), T(1)
+ );
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> extractMatrixRotation
+ (
+ tmat4x4<T, P> const & mat
+ )
+ {
+ return tmat4x4<T, P>(
+ mat[0][0], mat[0][1], mat[0][2], 0.0,
+ mat[1][0], mat[1][1], mat[1][2], 0.0,
+ mat[2][0], mat[2][1], mat[2][2], 0.0,
+ 0.0, 0.0, 0.0, 1.0
+ );
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> interpolate
+ (
+ tmat4x4<T, P> const & m1,
+ tmat4x4<T, P> const & m2,
+ T const delta
+ )
+ {
+ tmat4x4<T, P> m1rot = extractMatrixRotation(m1);
+ tmat4x4<T, P> dltRotation = m2 * transpose(m1rot);
+ tvec3<T, P> dltAxis;
+ T dltAngle;
+ axisAngle(dltRotation, dltAxis, dltAngle);
+ tmat4x4<T, P> out = axisAngleMatrix(dltAxis, dltAngle * delta) * m1rot;
+ out[3][0] = m1[3][0] + delta * (m2[3][0] - m1[3][0]);
+ out[3][1] = m1[3][1] + delta * (m2[3][1] - m1[3][1]);
+ out[3][2] = m1[3][2] + delta * (m2[3][2] - m1[3][2]);
+ return out;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_major_storage.hpp b/external/include/glm/gtx/matrix_major_storage.hpp
new file mode 100644
index 0000000..9402abe
--- /dev/null
+++ b/external/include/glm/gtx/matrix_major_storage.hpp
@@ -0,0 +1,115 @@
+/// @ref gtx_matrix_major_storage
+/// @file glm/gtx/matrix_major_storage.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_matrix_major_storage GLM_GTX_matrix_major_storage
+/// @ingroup gtx
+///
+/// @brief Build matrices with specific matrix order, row or column
+///
+/// <glm/gtx/matrix_major_storage.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_major_storage extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_major_storage
+ /// @{
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x2<T, P> rowMajor2(
+ tvec2<T, P> const & v1,
+ tvec2<T, P> const & v2);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x2<T, P> rowMajor2(
+ tmat2x2<T, P> const & m);
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> rowMajor3(
+ tvec3<T, P> const & v1,
+ tvec3<T, P> const & v2,
+ tvec3<T, P> const & v3);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> rowMajor3(
+ tmat3x3<T, P> const & m);
+
+ //! Build a row major matrix from row vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> rowMajor4(
+ tvec4<T, P> const & v1,
+ tvec4<T, P> const & v2,
+ tvec4<T, P> const & v3,
+ tvec4<T, P> const & v4);
+
+ //! Build a row major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> rowMajor4(
+ tmat4x4<T, P> const & m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x2<T, P> colMajor2(
+ tvec2<T, P> const & v1,
+ tvec2<T, P> const & v2);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x2<T, P> colMajor2(
+ tmat2x2<T, P> const & m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> colMajor3(
+ tvec3<T, P> const & v1,
+ tvec3<T, P> const & v2,
+ tvec3<T, P> const & v3);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> colMajor3(
+ tmat3x3<T, P> const & m);
+
+ //! Build a column major matrix from column vectors.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> colMajor4(
+ tvec4<T, P> const & v1,
+ tvec4<T, P> const & v2,
+ tvec4<T, P> const & v3,
+ tvec4<T, P> const & v4);
+
+ //! Build a column major matrix from other matrix.
+ //! From GLM_GTX_matrix_major_storage extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> colMajor4(
+ tmat4x4<T, P> const & m);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_major_storage.inl"
diff --git a/external/include/glm/gtx/matrix_major_storage.inl b/external/include/glm/gtx/matrix_major_storage.inl
new file mode 100644
index 0000000..7097739
--- /dev/null
+++ b/external/include/glm/gtx/matrix_major_storage.inl
@@ -0,0 +1,167 @@
+/// @ref gtx_matrix_major_storage
+/// @file glm/gtx/matrix_major_storage.hpp
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> rowMajor2
+ (
+ tvec2<T, P> const & v1,
+ tvec2<T, P> const & v2
+ )
+ {
+ tmat2x2<T, P> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> rowMajor2(
+ const tmat2x2<T, P>& m)
+ {
+ tmat2x2<T, P> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> rowMajor3(
+ const tvec3<T, P>& v1,
+ const tvec3<T, P>& v2,
+ const tvec3<T, P>& v3)
+ {
+ tmat3x3<T, P> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[2][0] = v1.z;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ Result[2][1] = v2.z;
+ Result[0][2] = v3.x;
+ Result[1][2] = v3.y;
+ Result[2][2] = v3.z;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> rowMajor3(
+ const tmat3x3<T, P>& m)
+ {
+ tmat3x3<T, P> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[0][2] = m[2][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ Result[1][2] = m[2][1];
+ Result[2][0] = m[0][2];
+ Result[2][1] = m[1][2];
+ Result[2][2] = m[2][2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> rowMajor4(
+ const tvec4<T, P>& v1,
+ const tvec4<T, P>& v2,
+ const tvec4<T, P>& v3,
+ const tvec4<T, P>& v4)
+ {
+ tmat4x4<T, P> Result;
+ Result[0][0] = v1.x;
+ Result[1][0] = v1.y;
+ Result[2][0] = v1.z;
+ Result[3][0] = v1.w;
+ Result[0][1] = v2.x;
+ Result[1][1] = v2.y;
+ Result[2][1] = v2.z;
+ Result[3][1] = v2.w;
+ Result[0][2] = v3.x;
+ Result[1][2] = v3.y;
+ Result[2][2] = v3.z;
+ Result[3][2] = v3.w;
+ Result[0][3] = v4.x;
+ Result[1][3] = v4.y;
+ Result[2][3] = v4.z;
+ Result[3][3] = v4.w;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> rowMajor4(
+ const tmat4x4<T, P>& m)
+ {
+ tmat4x4<T, P> Result;
+ Result[0][0] = m[0][0];
+ Result[0][1] = m[1][0];
+ Result[0][2] = m[2][0];
+ Result[0][3] = m[3][0];
+ Result[1][0] = m[0][1];
+ Result[1][1] = m[1][1];
+ Result[1][2] = m[2][1];
+ Result[1][3] = m[3][1];
+ Result[2][0] = m[0][2];
+ Result[2][1] = m[1][2];
+ Result[2][2] = m[2][2];
+ Result[2][3] = m[3][2];
+ Result[3][0] = m[0][3];
+ Result[3][1] = m[1][3];
+ Result[3][2] = m[2][3];
+ Result[3][3] = m[3][3];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> colMajor2(
+ const tvec2<T, P>& v1,
+ const tvec2<T, P>& v2)
+ {
+ return tmat2x2<T, P>(v1, v2);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> colMajor2(
+ const tmat2x2<T, P>& m)
+ {
+ return tmat2x2<T, P>(m);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> colMajor3(
+ const tvec3<T, P>& v1,
+ const tvec3<T, P>& v2,
+ const tvec3<T, P>& v3)
+ {
+ return tmat3x3<T, P>(v1, v2, v3);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> colMajor3(
+ const tmat3x3<T, P>& m)
+ {
+ return tmat3x3<T, P>(m);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> colMajor4(
+ const tvec4<T, P>& v1,
+ const tvec4<T, P>& v2,
+ const tvec4<T, P>& v3,
+ const tvec4<T, P>& v4)
+ {
+ return tmat4x4<T, P>(v1, v2, v3, v4);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> colMajor4(
+ const tmat4x4<T, P>& m)
+ {
+ return tmat4x4<T, P>(m);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_operation.hpp b/external/include/glm/gtx/matrix_operation.hpp
new file mode 100644
index 0000000..3192ae5
--- /dev/null
+++ b/external/include/glm/gtx/matrix_operation.hpp
@@ -0,0 +1,84 @@
+/// @ref gtx_matrix_operation
+/// @file glm/gtx/matrix_operation.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_operation GLM_GTX_matrix_operation
+/// @ingroup gtx
+///
+/// @brief Build diagonal matrices from vectors.
+///
+/// <glm/gtx/matrix_operation.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_operation extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_operation
+ /// @{
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x2<T, P> diagonal2x2(
+ tvec2<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x3<T, P> diagonal2x3(
+ tvec2<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat2x4<T, P> diagonal2x4(
+ tvec2<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x2<T, P> diagonal3x2(
+ tvec2<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> diagonal3x3(
+ tvec3<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x4<T, P> diagonal3x4(
+ tvec3<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x2<T, P> diagonal4x2(
+ tvec2<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x3<T, P> diagonal4x3(
+ tvec3<T, P> const & v);
+
+ //! Build a diagonal matrix.
+ //! From GLM_GTX_matrix_operation extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> diagonal4x4(
+ tvec4<T, P> const & v);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_operation.inl"
diff --git a/external/include/glm/gtx/matrix_operation.inl b/external/include/glm/gtx/matrix_operation.inl
new file mode 100644
index 0000000..1553215
--- /dev/null
+++ b/external/include/glm/gtx/matrix_operation.inl
@@ -0,0 +1,118 @@
+/// @ref gtx_matrix_operation
+/// @file glm/gtx/matrix_operation.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x2<T, P> diagonal2x2
+ (
+ tvec2<T, P> const & v
+ )
+ {
+ tmat2x2<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x3<T, P> diagonal2x3
+ (
+ tvec2<T, P> const & v
+ )
+ {
+ tmat2x3<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat2x4<T, P> diagonal2x4
+ (
+ tvec2<T, P> const & v
+ )
+ {
+ tmat2x4<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x2<T, P> diagonal3x2
+ (
+ tvec2<T, P> const & v
+ )
+ {
+ tmat3x2<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> diagonal3x3
+ (
+ tvec3<T, P> const & v
+ )
+ {
+ tmat3x3<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x4<T, P> diagonal3x4
+ (
+ tvec3<T, P> const & v
+ )
+ {
+ tmat3x4<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> diagonal4x4
+ (
+ tvec4<T, P> const & v
+ )
+ {
+ tmat4x4<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ Result[3][3] = v[3];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x3<T, P> diagonal4x3
+ (
+ tvec3<T, P> const & v
+ )
+ {
+ tmat4x3<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ Result[2][2] = v[2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x2<T, P> diagonal4x2
+ (
+ tvec2<T, P> const & v
+ )
+ {
+ tmat4x2<T, P> Result(static_cast<T>(1));
+ Result[0][0] = v[0];
+ Result[1][1] = v[1];
+ return Result;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_query.hpp b/external/include/glm/gtx/matrix_query.hpp
new file mode 100644
index 0000000..2518274
--- /dev/null
+++ b/external/include/glm/gtx/matrix_query.hpp
@@ -0,0 +1,73 @@
+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.hpp
+///
+/// @see core (dependence)
+/// @see gtx_vector_query (dependence)
+///
+/// @defgroup gtx_matrix_query GLM_GTX_matrix_query
+/// @ingroup gtx
+///
+/// @brief Query to evaluate matrix properties
+///
+/// <glm/gtx/matrix_query.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/vector_query.hpp"
+#include <limits>
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_query extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_query
+ /// @{
+
+ /// Return whether a matrix a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNull(tmat2x2<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNull(tmat3x3<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is a null matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNull(tmat4x4<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is an identity matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P, template <typename, precision> class matType>
+ GLM_FUNC_DECL bool isIdentity(matType<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNormalized(tmat2x2<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNormalized(tmat3x3<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is a normalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P>
+ GLM_FUNC_DECL bool isNormalized(tmat4x4<T, P> const & m, T const & epsilon);
+
+ /// Return whether a matrix is an orthonormalized matrix.
+ /// From GLM_GTX_matrix_query extension.
+ template<typename T, precision P, template <typename, precision> class matType>
+ GLM_FUNC_DECL bool isOrthogonal(matType<T, P> const & m, T const & epsilon);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_query.inl"
diff --git a/external/include/glm/gtx/matrix_query.inl b/external/include/glm/gtx/matrix_query.inl
new file mode 100644
index 0000000..491b774
--- /dev/null
+++ b/external/include/glm/gtx/matrix_query.inl
@@ -0,0 +1,114 @@
+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.inl
+
+namespace glm
+{
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNull(tmat2x2<T, P> const & m, T const & epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNull(tmat3x3<T, P> const & m, T const & epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNull(tmat4x4<T, P> const & m, T const & epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T, precision P, template <typename, precision> class matType>
+ GLM_FUNC_QUALIFIER bool isIdentity(matType<T, P> const & m, T const & epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m[0].length() ; ++i)
+ {
+ for(length_t j = 0; result && j < i ; ++j)
+ result = abs(m[i][j]) <= epsilon;
+ if(result)
+ result = abs(m[i][i] - 1) <= epsilon;
+ for(length_t j = i + 1; result && j < m.length(); ++j)
+ result = abs(m[i][j]) <= epsilon;
+ }
+ return result;
+ }
+
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNormalized(tmat2x2<T, P> const & m, T const & epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat2x2<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNormalized(tmat3x3<T, P> const & m, T const & epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat3x3<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNormalized(tmat4x4<T, P> const & m, T const & epsilon)
+ {
+ bool result(true);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat4x4<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T, precision P, template <typename, precision> class matType>
+ GLM_FUNC_QUALIFIER bool isOrthogonal(matType<T, P> const & m, T const & epsilon)
+ {
+ bool result(true);
+ for(length_t i(0); result && i < m.length() - 1; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(m[i], m[j], epsilon);
+
+ if(result)
+ {
+ matType<T, P> tmp = transpose(m);
+ for(length_t i(0); result && i < m.length() - 1 ; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(tmp[i], tmp[j], epsilon);
+ }
+ return result;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/matrix_transform_2d.hpp b/external/include/glm/gtx/matrix_transform_2d.hpp
new file mode 100644
index 0000000..91f4834
--- /dev/null
+++ b/external/include/glm/gtx/matrix_transform_2d.hpp
@@ -0,0 +1,78 @@
+/// @ref gtx_matrix_transform_2d
+/// @file glm/gtx/matrix_transform_2d.hpp
+/// @author Miguel Ángel Pérez Martínez
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_matrix_transform_2d GLM_GTX_matrix_transform_2d
+/// @ingroup gtx
+///
+/// @brief Defines functions that generate common 2d transformation matrices.
+///
+/// <glm/gtx/matrix_transform_2d.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../mat3x3.hpp"
+#include "../vec2.hpp"
+
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_matrix_transform_2d extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_matrix_transform_2d
+ /// @{
+
+ /// Builds a translation 3 * 3 matrix created from a vector of 2 components.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param v Coordinates of a translation vector.
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> translate(
+ tmat3x3<T, P> const & m,
+ tvec2<T, P> const & v);
+
+ /// Builds a rotation 3 * 3 matrix created from an angle.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param angle Rotation angle expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> rotate(
+ tmat3x3<T, P> const & m,
+ T angle);
+
+ /// Builds a scale 3 * 3 matrix created from a vector of 2 components.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param v Coordinates of a scale vector.
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> scale(
+ tmat3x3<T, P> const & m,
+ tvec2<T, P> const & v);
+
+ /// Builds an horizontal (parallel to the x axis) shear 3 * 3 matrix.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param y Shear factor.
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX(
+ tmat3x3<T, P> const & m,
+ T y);
+
+ /// Builds a vertical (parallel to the y axis) shear 3 * 3 matrix.
+ ///
+ /// @param m Input matrix multiplied by this translation matrix.
+ /// @param x Shear factor.
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY(
+ tmat3x3<T, P> const & m,
+ T x);
+
+ /// @}
+}//namespace glm
+
+#include "matrix_transform_2d.inl"
diff --git a/external/include/glm/gtx/matrix_transform_2d.inl b/external/include/glm/gtx/matrix_transform_2d.inl
new file mode 100644
index 0000000..bea5670
--- /dev/null
+++ b/external/include/glm/gtx/matrix_transform_2d.inl
@@ -0,0 +1,69 @@
+/// @ref gtx_matrix_transform_2d
+/// @file glm/gtc/matrix_transform_2d.inl
+/// @author Miguel Ángel Pérez Martínez
+
+#include "../trigonometric.hpp"
+
+namespace glm
+{
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> translate(
+ tmat3x3<T, P> const & m,
+ tvec2<T, P> const & v)
+ {
+ tmat3x3<T, P> Result(m);
+ Result[2] = m[0] * v[0] + m[1] * v[1] + m[2];
+ return Result;
+ }
+
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> rotate(
+ tmat3x3<T, P> const & m,
+ T angle)
+ {
+ T const a = angle;
+ T const c = cos(a);
+ T const s = sin(a);
+
+ tmat3x3<T, P> Result(uninitialize);
+ Result[0] = m[0] * c + m[1] * s;
+ Result[1] = m[0] * -s + m[1] * c;
+ Result[2] = m[2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> scale(
+ tmat3x3<T, P> const & m,
+ tvec2<T, P> const & v)
+ {
+ tmat3x3<T, P> Result(uninitialize);
+ Result[0] = m[0] * v[0];
+ Result[1] = m[1] * v[1];
+ Result[2] = m[2];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX(
+ tmat3x3<T, P> const & m,
+ T y)
+ {
+ tmat3x3<T, P> Result(1);
+ Result[0][1] = y;
+ return m * Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY(
+ tmat3x3<T, P> const & m,
+ T x)
+ {
+ tmat3x3<T, P> Result(1);
+ Result[1][0] = x;
+ return m * Result;
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/mixed_product.hpp b/external/include/glm/gtx/mixed_product.hpp
new file mode 100644
index 0000000..65861f7
--- /dev/null
+++ b/external/include/glm/gtx/mixed_product.hpp
@@ -0,0 +1,37 @@
+/// @ref gtx_mixed_product
+/// @file glm/gtx/mixed_product.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_mixed_product GLM_GTX_mixed_producte
+/// @ingroup gtx
+///
+/// @brief Mixed product of 3 vectors.
+///
+/// <glm/gtx/mixed_product.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_mixed_product extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_mixed_product
+ /// @{
+
+ /// @brief Mixed product of 3 vectors (from GLM_GTX_mixed_product extension)
+ template <typename T, precision P>
+ GLM_FUNC_DECL T mixedProduct(
+ tvec3<T, P> const & v1,
+ tvec3<T, P> const & v2,
+ tvec3<T, P> const & v3);
+
+ /// @}
+}// namespace glm
+
+#include "mixed_product.inl"
diff --git a/external/include/glm/gtx/mixed_product.inl b/external/include/glm/gtx/mixed_product.inl
new file mode 100644
index 0000000..a6ede59
--- /dev/null
+++ b/external/include/glm/gtx/mixed_product.inl
@@ -0,0 +1,16 @@
+/// @ref gtx_mixed_product
+/// @file glm/gtx/mixed_product.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T mixedProduct
+ (
+ tvec3<T, P> const & v1,
+ tvec3<T, P> const & v2,
+ tvec3<T, P> const & v3
+ )
+ {
+ return dot(cross(v1, v2), v3);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/norm.hpp b/external/include/glm/gtx/norm.hpp
new file mode 100644
index 0000000..b3cb528
--- /dev/null
+++ b/external/include/glm/gtx/norm.hpp
@@ -0,0 +1,86 @@
+/// @ref gtx_norm
+/// @file glm/gtx/norm.hpp
+///
+/// @see core (dependence)
+/// @see gtx_quaternion (dependence)
+///
+/// @defgroup gtx_norm GLM_GTX_norm
+/// @ingroup gtx
+///
+/// @brief Various ways to compute vector norms.
+///
+/// <glm/gtx/norm.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../detail/func_geometric.hpp"
+#include "../gtx/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_norm extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_norm
+ /// @{
+
+ /// Returns the squared length of x.
+ /// From GLM_GTX_norm extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T length2(
+ vecType<T, P> const & x);
+
+ /// Returns the squared distance between p0 and p1, i.e., length2(p0 - p1).
+ /// From GLM_GTX_norm extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T distance2(
+ vecType<T, P> const & p0,
+ vecType<T, P> const & p1);
+
+ //! Returns the L1 norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T l1Norm(
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y);
+
+ //! Returns the L1 norm of v.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T l1Norm(
+ tvec3<T, P> const & v);
+
+ //! Returns the L2 norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T l2Norm(
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y);
+
+ //! Returns the L2 norm of v.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T l2Norm(
+ tvec3<T, P> const & x);
+
+ //! Returns the L norm between x and y.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T lxNorm(
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ unsigned int Depth);
+
+ //! Returns the L norm of v.
+ //! From GLM_GTX_norm extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T lxNorm(
+ tvec3<T, P> const & x,
+ unsigned int Depth);
+
+ /// @}
+}//namespace glm
+
+#include "norm.inl"
diff --git a/external/include/glm/gtx/norm.inl b/external/include/glm/gtx/norm.inl
new file mode 100644
index 0000000..20954ec
--- /dev/null
+++ b/external/include/glm/gtx/norm.inl
@@ -0,0 +1,106 @@
+/// @ref gtx_norm
+/// @file glm/gtx/norm.inl
+
+#include "../detail/precision.hpp"
+
+namespace glm{
+namespace detail
+{
+ template <template <typename, precision> class vecType, typename T, precision P, bool Aligned>
+ struct compute_length2
+ {
+ GLM_FUNC_QUALIFIER static T call(vecType<T, P> const & v)
+ {
+ return dot(v, v);
+ }
+ };
+}//namespace detail
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType length2(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'length2' accepts only floating-point inputs");
+ return x * x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T length2(vecType<T, P> const & v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'length2' accepts only floating-point inputs");
+ return detail::compute_length2<vecType, T, P, detail::is_aligned<P>::value>::call(v);
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER T distance2(T p0, T p1)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
+ return length2(p1 - p0);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T distance2(vecType<T, P> const & p0, vecType<T, P> const & p1)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
+ return length2(p1 - p0);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T l1Norm
+ (
+ tvec3<T, P> const & a,
+ tvec3<T, P> const & b
+ )
+ {
+ return abs(b.x - a.x) + abs(b.y - a.y) + abs(b.z - a.z);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T l1Norm
+ (
+ tvec3<T, P> const & v
+ )
+ {
+ return abs(v.x) + abs(v.y) + abs(v.z);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T l2Norm
+ (
+ tvec3<T, P> const & a,
+ tvec3<T, P> const & b
+ )
+ {
+ return length(b - a);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T l2Norm
+ (
+ tvec3<T, P> const & v
+ )
+ {
+ return length(v);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T lxNorm
+ (
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ unsigned int Depth
+ )
+ {
+ return pow(pow(y.x - x.x, T(Depth)) + pow(y.y - x.y, T(Depth)) + pow(y.z - x.z, T(Depth)), T(1) / T(Depth));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T lxNorm
+ (
+ tvec3<T, P> const & v,
+ unsigned int Depth
+ )
+ {
+ return pow(pow(v.x, T(Depth)) + pow(v.y, T(Depth)) + pow(v.z, T(Depth)), T(1) / T(Depth));
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/normal.hpp b/external/include/glm/gtx/normal.hpp
new file mode 100644
index 0000000..2e0044e
--- /dev/null
+++ b/external/include/glm/gtx/normal.hpp
@@ -0,0 +1,39 @@
+/// @ref gtx_normal
+/// @file glm/gtx/normal.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_normal GLM_GTX_normal
+/// @ingroup gtx
+///
+/// @brief Compute the normal of a triangle.
+///
+/// <glm/gtx/normal.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_normal extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_normal
+ /// @{
+
+ //! Computes triangle normal from triangle points.
+ //! From GLM_GTX_normal extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> triangleNormal(
+ tvec3<T, P> const & p1,
+ tvec3<T, P> const & p2,
+ tvec3<T, P> const & p3);
+
+ /// @}
+}//namespace glm
+
+#include "normal.inl"
diff --git a/external/include/glm/gtx/normal.inl b/external/include/glm/gtx/normal.inl
new file mode 100644
index 0000000..e442317
--- /dev/null
+++ b/external/include/glm/gtx/normal.inl
@@ -0,0 +1,16 @@
+/// @ref gtx_normal
+/// @file glm/gtx/normal.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> triangleNormal
+ (
+ tvec3<T, P> const & p1,
+ tvec3<T, P> const & p2,
+ tvec3<T, P> const & p3
+ )
+ {
+ return normalize(cross(p1 - p2, p1 - p3));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/normalize_dot.hpp b/external/include/glm/gtx/normalize_dot.hpp
new file mode 100644
index 0000000..de650d3
--- /dev/null
+++ b/external/include/glm/gtx/normalize_dot.hpp
@@ -0,0 +1,45 @@
+/// @ref gtx_normalize_dot
+/// @file glm/gtx/normalize_dot.hpp
+///
+/// @see core (dependence)
+/// @see gtx_fast_square_root (dependence)
+///
+/// @defgroup gtx_normalize_dot GLM_GTX_normalize_dot
+/// @ingroup gtx
+///
+/// @brief Dot product of vectors that need to be normalize with a single square root.
+///
+/// <glm/gtx/normalized_dot.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../gtx/fast_square_root.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_normalize_dot extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_normalize_dot
+ /// @{
+
+ /// Normalize parameters and returns the dot product of x and y.
+ /// It's faster that dot(normalize(x), normalize(y)).
+ ///
+ /// @see gtx_normalize_dot extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T normalizeDot(vecType<T, P> const & x, vecType<T, P> const & y);
+
+ /// Normalize parameters and returns the dot product of x and y.
+ /// Faster that dot(fastNormalize(x), fastNormalize(y)).
+ ///
+ /// @see gtx_normalize_dot extension.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL T fastNormalizeDot(vecType<T, P> const & x, vecType<T, P> const & y);
+
+ /// @}
+}//namespace glm
+
+#include "normalize_dot.inl"
diff --git a/external/include/glm/gtx/normalize_dot.inl b/external/include/glm/gtx/normalize_dot.inl
new file mode 100644
index 0000000..0d01ffe
--- /dev/null
+++ b/external/include/glm/gtx/normalize_dot.inl
@@ -0,0 +1,17 @@
+/// @ref gtx_normalize_dot
+/// @file glm/gtx/normalize_dot.inl
+
+namespace glm
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T normalizeDot(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return glm::dot(x, y) * glm::inversesqrt(glm::dot(x, x) * glm::dot(y, y));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T fastNormalizeDot(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ return glm::dot(x, y) * glm::fastInverseSqrt(glm::dot(x, x) * glm::dot(y, y));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/number_precision.hpp b/external/include/glm/gtx/number_precision.hpp
new file mode 100644
index 0000000..736d035
--- /dev/null
+++ b/external/include/glm/gtx/number_precision.hpp
@@ -0,0 +1,57 @@
+/// @ref gtx_number_precision
+/// @file glm/gtx/number_precision.hpp
+///
+/// @see core (dependence)
+/// @see gtc_type_precision (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_number_precision GLM_GTX_number_precision
+/// @ingroup gtx
+///
+/// @brief Defined size types.
+///
+/// <glm/gtx/number_precision.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/type_precision.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_number_precision extension included")
+#endif
+
+namespace glm{
+namespace gtx
+{
+ /////////////////////////////
+ // Unsigned int vector types
+
+ /// @addtogroup gtx_number_precision
+ /// @{
+
+ typedef u8 u8vec1; //!< \brief 8bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u16 u16vec1; //!< \brief 16bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u32 u32vec1; //!< \brief 32bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+ typedef u64 u64vec1; //!< \brief 64bit unsigned integer scalar. (from GLM_GTX_number_precision extension)
+
+ //////////////////////
+ // Float vector types
+
+ typedef f32 f32vec1; //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64vec1; //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+
+ //////////////////////
+ // Float matrix types
+
+ typedef f32 f32mat1; //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f32 f32mat1x1; //!< \brief Single-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64mat1; //!< \brief Double-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+ typedef f64 f64mat1x1; //!< \brief Double-precision floating-point scalar. (from GLM_GTX_number_precision extension)
+
+ /// @}
+}//namespace gtx
+}//namespace glm
+
+#include "number_precision.inl"
diff --git a/external/include/glm/gtx/number_precision.inl b/external/include/glm/gtx/number_precision.inl
new file mode 100644
index 0000000..b54cf66
--- /dev/null
+++ b/external/include/glm/gtx/number_precision.inl
@@ -0,0 +1,7 @@
+/// @ref gtx_number_precision
+/// @file glm/gtx/number_precision.inl
+
+namespace glm
+{
+
+}
diff --git a/external/include/glm/gtx/optimum_pow.hpp b/external/include/glm/gtx/optimum_pow.hpp
new file mode 100644
index 0000000..e9510c4
--- /dev/null
+++ b/external/include/glm/gtx/optimum_pow.hpp
@@ -0,0 +1,50 @@
+/// @ref gtx_optimum_pow
+/// @file glm/gtx/optimum_pow.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_optimum_pow GLM_GTX_optimum_pow
+/// @ingroup gtx
+///
+/// @brief Integer exponentiation of power functions.
+///
+/// <glm/gtx/optimum_pow.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_optimum_pow extension included")
+#endif
+
+namespace glm{
+namespace gtx
+{
+ /// @addtogroup gtx_optimum_pow
+ /// @{
+
+ /// Returns x raised to the power of 2.
+ ///
+ /// @see gtx_optimum_pow
+ template <typename genType>
+ GLM_FUNC_DECL genType pow2(genType const & x);
+
+ /// Returns x raised to the power of 3.
+ ///
+ /// @see gtx_optimum_pow
+ template <typename genType>
+ GLM_FUNC_DECL genType pow3(genType const & x);
+
+ /// Returns x raised to the power of 4.
+ ///
+ /// @see gtx_optimum_pow
+ template <typename genType>
+ GLM_FUNC_DECL genType pow4(genType const & x);
+
+ /// @}
+}//namespace gtx
+}//namespace glm
+
+#include "optimum_pow.inl"
diff --git a/external/include/glm/gtx/optimum_pow.inl b/external/include/glm/gtx/optimum_pow.inl
new file mode 100644
index 0000000..2216a74
--- /dev/null
+++ b/external/include/glm/gtx/optimum_pow.inl
@@ -0,0 +1,23 @@
+/// @ref gtx_optimum_pow
+/// @file glm/gtx/optimum_pow.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType pow2(genType const & x)
+ {
+ return x * x;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType pow3(genType const & x)
+ {
+ return x * x * x;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType pow4(genType const & x)
+ {
+ return (x * x) * (x * x);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/orthonormalize.hpp b/external/include/glm/gtx/orthonormalize.hpp
new file mode 100644
index 0000000..4bea449
--- /dev/null
+++ b/external/include/glm/gtx/orthonormalize.hpp
@@ -0,0 +1,45 @@
+/// @ref gtx_orthonormalize
+/// @file glm/gtx/orthonormalize.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_orthonormalize GLM_GTX_orthonormalize
+/// @ingroup gtx
+///
+/// @brief Orthonormalize matrices.
+///
+/// <glm/gtx/orthonormalize.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../vec3.hpp"
+#include "../mat3x3.hpp"
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_orthonormalize extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_orthonormalize
+ /// @{
+
+ /// Returns the orthonormalized matrix of m.
+ ///
+ /// @see gtx_orthonormalize
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> orthonormalize(tmat3x3<T, P> const & m);
+
+ /// Orthonormalizes x according y.
+ ///
+ /// @see gtx_orthonormalize
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> orthonormalize(tvec3<T, P> const & x, tvec3<T, P> const & y);
+
+ /// @}
+}//namespace glm
+
+#include "orthonormalize.inl"
diff --git a/external/include/glm/gtx/orthonormalize.inl b/external/include/glm/gtx/orthonormalize.inl
new file mode 100644
index 0000000..4796384
--- /dev/null
+++ b/external/include/glm/gtx/orthonormalize.inl
@@ -0,0 +1,30 @@
+/// @ref gtx_orthonormalize
+/// @file glm/gtx/orthonormalize.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> orthonormalize(tmat3x3<T, P> const & m)
+ {
+ tmat3x3<T, P> r = m;
+
+ r[0] = normalize(r[0]);
+
+ T d0 = dot(r[0], r[1]);
+ r[1] -= r[0] * d0;
+ r[1] = normalize(r[1]);
+
+ T d1 = dot(r[1], r[2]);
+ d0 = dot(r[0], r[2]);
+ r[2] -= r[0] * d0 + r[1] * d1;
+ r[2] = normalize(r[2]);
+
+ return r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> orthonormalize(tvec3<T, P> const & x, tvec3<T, P> const & y)
+ {
+ return normalize(x - y * dot(y, x));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/perpendicular.hpp b/external/include/glm/gtx/perpendicular.hpp
new file mode 100644
index 0000000..8b6260a
--- /dev/null
+++ b/external/include/glm/gtx/perpendicular.hpp
@@ -0,0 +1,39 @@
+/// @ref gtx_perpendicular
+/// @file glm/gtx/perpendicular.hpp
+///
+/// @see core (dependence)
+/// @see gtx_projection (dependence)
+///
+/// @defgroup gtx_perpendicular GLM_GTX_perpendicular
+/// @ingroup gtx
+///
+/// @brief Perpendicular of a vector from other one
+///
+/// <glm/gtx/perpendicular.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/projection.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_perpendicular extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_perpendicular
+ /// @{
+
+ //! Projects x a perpendicular axis of Normal.
+ //! From GLM_GTX_perpendicular extension.
+ template <typename vecType>
+ GLM_FUNC_DECL vecType perp(
+ vecType const & x,
+ vecType const & Normal);
+
+ /// @}
+}//namespace glm
+
+#include "perpendicular.inl"
diff --git a/external/include/glm/gtx/perpendicular.inl b/external/include/glm/gtx/perpendicular.inl
new file mode 100644
index 0000000..08a7a81
--- /dev/null
+++ b/external/include/glm/gtx/perpendicular.inl
@@ -0,0 +1,15 @@
+/// @ref gtx_perpendicular
+/// @file glm/gtx/perpendicular.inl
+
+namespace glm
+{
+ template <typename vecType>
+ GLM_FUNC_QUALIFIER vecType perp
+ (
+ vecType const & x,
+ vecType const & Normal
+ )
+ {
+ return x - proj(x, Normal);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/polar_coordinates.hpp b/external/include/glm/gtx/polar_coordinates.hpp
new file mode 100644
index 0000000..c647c0f
--- /dev/null
+++ b/external/include/glm/gtx/polar_coordinates.hpp
@@ -0,0 +1,44 @@
+/// @ref gtx_polar_coordinates
+/// @file glm/gtx/polar_coordinates.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_polar_coordinates GLM_GTX_polar_coordinates
+/// @ingroup gtx
+///
+/// @brief Conversion from Euclidean space to polar space and revert.
+///
+/// <glm/gtx/polar_coordinates.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_polar_coordinates extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_polar_coordinates
+ /// @{
+
+ /// Convert Euclidean to Polar coordinates, x is the xz distance, y, the latitude and z the longitude.
+ ///
+ /// @see gtx_polar_coordinates
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> polar(
+ tvec3<T, P> const & euclidean);
+
+ /// Convert Polar to Euclidean coordinates.
+ ///
+ /// @see gtx_polar_coordinates
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> euclidean(
+ tvec2<T, P> const & polar);
+
+ /// @}
+}//namespace glm
+
+#include "polar_coordinates.inl"
diff --git a/external/include/glm/gtx/polar_coordinates.inl b/external/include/glm/gtx/polar_coordinates.inl
new file mode 100644
index 0000000..afc9d2b
--- /dev/null
+++ b/external/include/glm/gtx/polar_coordinates.inl
@@ -0,0 +1,37 @@
+/// @ref gtx_polar_coordinates
+/// @file glm/gtx/polar_coordinates.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> polar
+ (
+ tvec3<T, P> const & euclidean
+ )
+ {
+ T const Length(length(euclidean));
+ tvec3<T, P> const tmp(euclidean / Length);
+ T const xz_dist(sqrt(tmp.x * tmp.x + tmp.z * tmp.z));
+
+ return tvec3<T, P>(
+ asin(tmp.y), // latitude
+ atan(tmp.x, tmp.z), // longitude
+ xz_dist); // xz distance
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> euclidean
+ (
+ tvec2<T, P> const & polar
+ )
+ {
+ T const latitude(polar.x);
+ T const longitude(polar.y);
+
+ return tvec3<T, P>(
+ cos(latitude) * sin(longitude),
+ sin(latitude),
+ cos(latitude) * cos(longitude));
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/projection.hpp b/external/include/glm/gtx/projection.hpp
new file mode 100644
index 0000000..fcddae8
--- /dev/null
+++ b/external/include/glm/gtx/projection.hpp
@@ -0,0 +1,36 @@
+/// @ref gtx_projection
+/// @file glm/gtx/projection.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_projection GLM_GTX_projection
+/// @ingroup gtx
+///
+/// @brief Projection of a vector to other one
+///
+/// <glm/gtx/projection.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../geometric.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_projection extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_projection
+ /// @{
+
+ /// Projects x on Normal.
+ ///
+ /// @see gtx_projection
+ template <typename vecType>
+ GLM_FUNC_DECL vecType proj(vecType const & x, vecType const & Normal);
+
+ /// @}
+}//namespace glm
+
+#include "projection.inl"
diff --git a/external/include/glm/gtx/projection.inl b/external/include/glm/gtx/projection.inl
new file mode 100644
index 0000000..d21fe83
--- /dev/null
+++ b/external/include/glm/gtx/projection.inl
@@ -0,0 +1,11 @@
+/// @ref gtx_projection
+/// @file glm/gtx/projection.inl
+
+namespace glm
+{
+ template <typename vecType>
+ GLM_FUNC_QUALIFIER vecType proj(vecType const & x, vecType const & Normal)
+ {
+ return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/quaternion.hpp b/external/include/glm/gtx/quaternion.hpp
new file mode 100644
index 0000000..674d7e7
--- /dev/null
+++ b/external/include/glm/gtx/quaternion.hpp
@@ -0,0 +1,185 @@
+/// @ref gtx_quaternion
+/// @file glm/gtx/quaternion.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_quaternion GLM_GTX_quaternion
+/// @ingroup gtx
+///
+/// @brief Extented quaternion types and functions
+///
+/// <glm/gtx/quaternion.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/constants.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/norm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_quaternion extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_quaternion
+ /// @{
+
+ /// Compute a cross product between a quaternion and a vector.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> cross(
+ tquat<T, P> const & q,
+ tvec3<T, P> const & v);
+
+ //! Compute a cross product between a vector and a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> cross(
+ tvec3<T, P> const & v,
+ tquat<T, P> const & q);
+
+ //! Compute a point on a path according squad equation.
+ //! q1 and q2 are control points; s1 and s2 are intermediate control points.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> squad(
+ tquat<T, P> const & q1,
+ tquat<T, P> const & q2,
+ tquat<T, P> const & s1,
+ tquat<T, P> const & s2,
+ T const & h);
+
+ //! Returns an intermediate control point for squad interpolation.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> intermediate(
+ tquat<T, P> const & prev,
+ tquat<T, P> const & curr,
+ tquat<T, P> const & next);
+
+ //! Returns a exp of a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> exp(
+ tquat<T, P> const & q);
+
+ //! Returns a log of a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> log(
+ tquat<T, P> const & q);
+
+ /// Returns x raised to the y power.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> pow(
+ tquat<T, P> const & x,
+ T const & y);
+
+ //! Returns quarternion square root.
+ ///
+ /// @see gtx_quaternion
+ //template<typename T, precision P>
+ //tquat<T, P> sqrt(
+ // tquat<T, P> const & q);
+
+ //! Rotates a 3 components vector by a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rotate(
+ tquat<T, P> const & q,
+ tvec3<T, P> const & v);
+
+ /// Rotates a 4 components vector by a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> rotate(
+ tquat<T, P> const & q,
+ tvec4<T, P> const & v);
+
+ /// Extract the real component of a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL T extractRealComponent(
+ tquat<T, P> const & q);
+
+ /// Converts a quaternion to a 3 * 3 matrix.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> toMat3(
+ tquat<T, P> const & x){return mat3_cast(x);}
+
+ /// Converts a quaternion to a 4 * 4 matrix.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> toMat4(
+ tquat<T, P> const & x){return mat4_cast(x);}
+
+ /// Converts a 3 * 3 matrix to a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> toQuat(
+ tmat3x3<T, P> const & x){return quat_cast(x);}
+
+ /// Converts a 4 * 4 matrix to a quaternion.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> toQuat(
+ tmat4x4<T, P> const & x){return quat_cast(x);}
+
+ /// Quaternion interpolation using the rotation short path.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> shortMix(
+ tquat<T, P> const & x,
+ tquat<T, P> const & y,
+ T const & a);
+
+ /// Quaternion normalized linear interpolation.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> fastMix(
+ tquat<T, P> const & x,
+ tquat<T, P> const & y,
+ T const & a);
+
+ /// Compute the rotation between two vectors.
+ /// param orig vector, needs to be normalized
+ /// param dest vector, needs to be normalized
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> rotation(
+ tvec3<T, P> const & orig,
+ tvec3<T, P> const & dest);
+
+ /// Returns the squared length of x.
+ ///
+ /// @see gtx_quaternion
+ template<typename T, precision P>
+ GLM_FUNC_DECL T length2(tquat<T, P> const & q);
+
+ /// @}
+}//namespace glm
+
+#include "quaternion.inl"
diff --git a/external/include/glm/gtx/quaternion.inl b/external/include/glm/gtx/quaternion.inl
new file mode 100644
index 0000000..c86ec18
--- /dev/null
+++ b/external/include/glm/gtx/quaternion.inl
@@ -0,0 +1,212 @@
+/// @ref gtx_quaternion
+/// @file glm/gtx/quaternion.inl
+
+#include <limits>
+#include "../gtc/constants.hpp"
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> cross(tvec3<T, P> const& v, tquat<T, P> const& q)
+ {
+ return inverse(q) * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> cross(tquat<T, P> const& q, tvec3<T, P> const& v)
+ {
+ return q * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> squad
+ (
+ tquat<T, P> const & q1,
+ tquat<T, P> const & q2,
+ tquat<T, P> const & s1,
+ tquat<T, P> const & s2,
+ T const & h)
+ {
+ return mix(mix(q1, q2, h), mix(s1, s2, h), static_cast<T>(2) * (static_cast<T>(1) - h) * h);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> intermediate
+ (
+ tquat<T, P> const & prev,
+ tquat<T, P> const & curr,
+ tquat<T, P> const & next
+ )
+ {
+ tquat<T, P> invQuat = inverse(curr);
+ return exp((log(next + invQuat) + log(prev + invQuat)) / static_cast<T>(-4)) * curr;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> exp(tquat<T, P> const& q)
+ {
+ tvec3<T, P> u(q.x, q.y, q.z);
+ T const Angle = glm::length(u);
+ if (Angle < epsilon<T>())
+ return tquat<T, P>();
+
+ tvec3<T, P> const v(u / Angle);
+ return tquat<T, P>(cos(Angle), sin(Angle) * v);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> log(tquat<T, P> const& q)
+ {
+ tvec3<T, P> u(q.x, q.y, q.z);
+ T Vec3Len = length(u);
+
+ if (Vec3Len < epsilon<T>())
+ {
+ if(q.w > static_cast<T>(0))
+ return tquat<T, P>(log(q.w), static_cast<T>(0), static_cast<T>(0), static_cast<T>(0));
+ else if(q.w < static_cast<T>(0))
+ return tquat<T, P>(log(-q.w), pi<T>(), static_cast<T>(0), static_cast<T>(0));
+ else
+ return tquat<T, P>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
+ }
+ else
+ {
+ T t = atan(Vec3Len, T(q.w)) / Vec3Len;
+ T QuatLen2 = Vec3Len * Vec3Len + q.w * q.w;
+ return tquat<T, P>(static_cast<T>(0.5) * log(QuatLen2), t * q.x, t * q.y, t * q.z);
+ }
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> pow(tquat<T, P> const & x, T const & y)
+ {
+ //Raising to the power of 0 should yield 1
+ //Needed to prevent a division by 0 error later on
+ if(y > -epsilon<T>() && y < epsilon<T>())
+ return tquat<T, P>(1,0,0,0);
+
+ //To deal with non-unit quaternions
+ T magnitude = sqrt(x.x * x.x + x.y * x.y + x.z * x.z + x.w *x.w);
+
+ //Equivalent to raising a real number to a power
+ //Needed to prevent a division by 0 error later on
+ if(abs(x.w / magnitude) > static_cast<T>(1) - epsilon<T>() && abs(x.w / magnitude) < static_cast<T>(1) + epsilon<T>())
+ return tquat<T, P>(pow(x.w, y),0,0,0);
+
+ T Angle = acos(x.w / magnitude);
+ T NewAngle = Angle * y;
+ T Div = sin(NewAngle) / sin(Angle);
+ T Mag = pow(magnitude, y - static_cast<T>(1));
+
+ return tquat<T, P>(cos(NewAngle) * magnitude * Mag, x.x * Div * Mag, x.y * Div * Mag, x.z * Div * Mag);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotate(tquat<T, P> const& q, tvec3<T, P> const& v)
+ {
+ return q * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> rotate(tquat<T, P> const& q, tvec4<T, P> const& v)
+ {
+ return q * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T extractRealComponent(tquat<T, P> const& q)
+ {
+ T w = static_cast<T>(1) - q.x * q.x - q.y * q.y - q.z * q.z;
+ if(w < T(0))
+ return T(0);
+ else
+ return -sqrt(w);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T length2(tquat<T, P> const& q)
+ {
+ return q.x * q.x + q.y * q.y + q.z * q.z + q.w * q.w;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> shortMix(tquat<T, P> const& x, tquat<T, P> const& y, T const& a)
+ {
+ if(a <= static_cast<T>(0)) return x;
+ if(a >= static_cast<T>(1)) return y;
+
+ T fCos = dot(x, y);
+ tquat<T, P> y2(y); //BUG!!! tquat<T> y2;
+ if(fCos < static_cast<T>(0))
+ {
+ y2 = -y;
+ fCos = -fCos;
+ }
+
+ //if(fCos > 1.0f) // problem
+ T k0, k1;
+ if(fCos > (static_cast<T>(1) - epsilon<T>()))
+ {
+ k0 = static_cast<T>(1) - a;
+ k1 = static_cast<T>(0) + a; //BUG!!! 1.0f + a;
+ }
+ else
+ {
+ T fSin = sqrt(T(1) - fCos * fCos);
+ T fAngle = atan(fSin, fCos);
+ T fOneOverSin = static_cast<T>(1) / fSin;
+ k0 = sin((static_cast<T>(1) - a) * fAngle) * fOneOverSin;
+ k1 = sin((static_cast<T>(0) + a) * fAngle) * fOneOverSin;
+ }
+
+ return tquat<T, P>(
+ k0 * x.w + k1 * y2.w,
+ k0 * x.x + k1 * y2.x,
+ k0 * x.y + k1 * y2.y,
+ k0 * x.z + k1 * y2.z);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> fastMix(tquat<T, P> const& x, tquat<T, P> const& y, T const & a)
+ {
+ return glm::normalize(x * (static_cast<T>(1) - a) + (y * a));
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> rotation(tvec3<T, P> const& orig, tvec3<T, P> const& dest)
+ {
+ T cosTheta = dot(orig, dest);
+ tvec3<T, P> rotationAxis;
+
+ if(cosTheta >= static_cast<T>(1) - epsilon<T>())
+ return quat();
+
+ if(cosTheta < static_cast<T>(-1) + epsilon<T>())
+ {
+ // special case when vectors in opposite directions :
+ // there is no "ideal" rotation axis
+ // So guess one; any will do as long as it's perpendicular to start
+ // This implementation favors a rotation around the Up axis (Y),
+ // since it's often what you want to do.
+ rotationAxis = cross(tvec3<T, P>(0, 0, 1), orig);
+ if(length2(rotationAxis) < epsilon<T>()) // bad luck, they were parallel, try again!
+ rotationAxis = cross(tvec3<T, P>(1, 0, 0), orig);
+
+ rotationAxis = normalize(rotationAxis);
+ return angleAxis(pi<T>(), rotationAxis);
+ }
+
+ // Implementation from Stan Melax's Game Programming Gems 1 article
+ rotationAxis = cross(orig, dest);
+
+ T s = sqrt((T(1) + cosTheta) * static_cast<T>(2));
+ T invs = static_cast<T>(1) / s;
+
+ return tquat<T, P>(
+ s * static_cast<T>(0.5f),
+ rotationAxis.x * invs,
+ rotationAxis.y * invs,
+ rotationAxis.z * invs);
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/range.hpp b/external/include/glm/gtx/range.hpp
new file mode 100644
index 0000000..00d78b4
--- /dev/null
+++ b/external/include/glm/gtx/range.hpp
@@ -0,0 +1,85 @@
+/// @ref gtx_range
+/// @file glm/gtx/range.hpp
+/// @author Joshua Moerman
+///
+/// @defgroup gtx_range GLM_GTX_range
+/// @ingroup gtx
+///
+/// @brief Defines begin and end for vectors and matrices. Useful for range-based for loop.
+/// The range is defined over the elements, not over columns or rows (e.g. mat4 has 16 elements).
+///
+/// <glm/gtx/range.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+
+#if !GLM_HAS_RANGE_FOR
+# error "GLM_GTX_range requires C++11 suppport or 'range for'"
+#endif
+
+#include "../gtc/type_ptr.hpp"
+#include "../gtc/vec1.hpp"
+
+namespace glm
+{
+ /// @addtogroup gtx_range
+ /// @{
+
+ template <typename T, precision P>
+ inline length_t components(tvec1<T, P> const & v)
+ {
+ return v.length();
+ }
+
+ template <typename T, precision P>
+ inline length_t components(tvec2<T, P> const & v)
+ {
+ return v.length();
+ }
+
+ template <typename T, precision P>
+ inline length_t components(tvec3<T, P> const & v)
+ {
+ return v.length();
+ }
+
+ template <typename T, precision P>
+ inline length_t components(tvec4<T, P> const & v)
+ {
+ return v.length();
+ }
+
+ template <typename genType>
+ inline length_t components(genType const & m)
+ {
+ return m.length() * m[0].length();
+ }
+
+ template <typename genType>
+ inline typename genType::value_type const * begin(genType const & v)
+ {
+ return value_ptr(v);
+ }
+
+ template <typename genType>
+ inline typename genType::value_type const * end(genType const & v)
+ {
+ return begin(v) + components(v);
+ }
+
+ template <typename genType>
+ inline typename genType::value_type * begin(genType& v)
+ {
+ return value_ptr(v);
+ }
+
+ template <typename genType>
+ inline typename genType::value_type * end(genType& v)
+ {
+ return begin(v) + components(v);
+ }
+
+ /// @}
+}//namespace glm
diff --git a/external/include/glm/gtx/raw_data.hpp b/external/include/glm/gtx/raw_data.hpp
new file mode 100644
index 0000000..2625fd1
--- /dev/null
+++ b/external/include/glm/gtx/raw_data.hpp
@@ -0,0 +1,47 @@
+/// @ref gtx_raw_data
+/// @file glm/gtx/raw_data.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_raw_data GLM_GTX_raw_data
+/// @ingroup gtx
+///
+/// @brief Projection of a vector to other one
+///
+/// <glm/gtx/raw_data.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+#include "../detail/type_int.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_raw_data extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_raw_data
+ /// @{
+
+ //! Type for byte numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint8 byte;
+
+ //! Type for word numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint16 word;
+
+ //! Type for dword numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint32 dword;
+
+ //! Type for qword numbers.
+ //! From GLM_GTX_raw_data extension.
+ typedef detail::uint64 qword;
+
+ /// @}
+}// namespace glm
+
+#include "raw_data.inl"
diff --git a/external/include/glm/gtx/raw_data.inl b/external/include/glm/gtx/raw_data.inl
new file mode 100644
index 0000000..29af148
--- /dev/null
+++ b/external/include/glm/gtx/raw_data.inl
@@ -0,0 +1,2 @@
+/// @ref gtx_raw_data
+/// @file glm/gtx/raw_data.inl
diff --git a/external/include/glm/gtx/rotate_normalized_axis.hpp b/external/include/glm/gtx/rotate_normalized_axis.hpp
new file mode 100644
index 0000000..f1dfa7b
--- /dev/null
+++ b/external/include/glm/gtx/rotate_normalized_axis.hpp
@@ -0,0 +1,64 @@
+/// @ref gtx_rotate_normalized_axis
+/// @file glm/gtx/rotate_normalized_axis.hpp
+///
+/// @see core (dependence)
+/// @see gtc_matrix_transform
+/// @see gtc_quaternion
+///
+/// @defgroup gtx_rotate_normalized_axis GLM_GTX_rotate_normalized_axis
+/// @ingroup gtx
+///
+/// @brief Quaternions and matrices rotations around normalized axis.
+///
+/// <glm/gtx/rotate_normalized_axis.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/epsilon.hpp"
+#include "../gtc/quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_rotate_normalized_axis extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_rotate_normalized_axis
+ /// @{
+
+ /// Builds a rotation 4 * 4 matrix created from a normalized axis and an angle.
+ ///
+ /// @param m Input matrix multiplied by this rotation matrix.
+ /// @param angle Rotation angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise.
+ /// @param axis Rotation axis, must be normalized.
+ /// @tparam T Value type used to build the matrix. Currently supported: half (not recommanded), float or double.
+ ///
+ /// @see gtx_rotate_normalized_axis
+ /// @see - rotate(T angle, T x, T y, T z)
+ /// @see - rotate(tmat4x4<T, P> const & m, T angle, T x, T y, T z)
+ /// @see - rotate(T angle, tvec3<T, P> const & v)
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> rotateNormalizedAxis(
+ tmat4x4<T, P> const & m,
+ T const & angle,
+ tvec3<T, P> const & axis);
+
+ /// Rotates a quaternion from a vector of 3 components normalized axis and an angle.
+ ///
+ /// @param q Source orientation
+ /// @param angle Angle expressed in radians if GLM_FORCE_RADIANS is define or degrees otherwise.
+ /// @param axis Normalized axis of the rotation, must be normalized.
+ ///
+ /// @see gtx_rotate_normalized_axis
+ template <typename T, precision P>
+ GLM_FUNC_DECL tquat<T, P> rotateNormalizedAxis(
+ tquat<T, P> const & q,
+ T const & angle,
+ tvec3<T, P> const & axis);
+
+ /// @}
+}//namespace glm
+
+#include "rotate_normalized_axis.inl"
diff --git a/external/include/glm/gtx/rotate_normalized_axis.inl b/external/include/glm/gtx/rotate_normalized_axis.inl
new file mode 100644
index 0000000..dc1b1a8
--- /dev/null
+++ b/external/include/glm/gtx/rotate_normalized_axis.inl
@@ -0,0 +1,59 @@
+/// @ref gtx_rotate_normalized_axis
+/// @file glm/gtx/rotate_normalized_axis.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> rotateNormalizedAxis
+ (
+ tmat4x4<T, P> const & m,
+ T const & angle,
+ tvec3<T, P> const & v
+ )
+ {
+ T const a = angle;
+ T const c = cos(a);
+ T const s = sin(a);
+
+ tvec3<T, P> const axis(v);
+
+ tvec3<T, P> const temp((static_cast<T>(1) - c) * axis);
+
+ tmat4x4<T, P> Rotate(uninitialize);
+ Rotate[0][0] = c + temp[0] * axis[0];
+ Rotate[0][1] = 0 + temp[0] * axis[1] + s * axis[2];
+ Rotate[0][2] = 0 + temp[0] * axis[2] - s * axis[1];
+
+ Rotate[1][0] = 0 + temp[1] * axis[0] - s * axis[2];
+ Rotate[1][1] = c + temp[1] * axis[1];
+ Rotate[1][2] = 0 + temp[1] * axis[2] + s * axis[0];
+
+ Rotate[2][0] = 0 + temp[2] * axis[0] + s * axis[1];
+ Rotate[2][1] = 0 + temp[2] * axis[1] - s * axis[0];
+ Rotate[2][2] = c + temp[2] * axis[2];
+
+ tmat4x4<T, P> Result(uninitialize);
+ Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2];
+ Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2];
+ Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2];
+ Result[3] = m[3];
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tquat<T, P> rotateNormalizedAxis
+ (
+ tquat<T, P> const & q,
+ T const & angle,
+ tvec3<T, P> const & v
+ )
+ {
+ tvec3<T, P> const Tmp(v);
+
+ T const AngleRad(angle);
+ T const Sin = sin(AngleRad * T(0.5));
+
+ return q * tquat<T, P>(cos(AngleRad * static_cast<T>(0.5)), Tmp.x * Sin, Tmp.y * Sin, Tmp.z * Sin);
+ //return gtc::quaternion::cross(q, tquat<T, P>(cos(AngleRad * T(0.5)), Tmp.x * fSin, Tmp.y * fSin, Tmp.z * fSin));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/rotate_vector.hpp b/external/include/glm/gtx/rotate_vector.hpp
new file mode 100644
index 0000000..91d1784
--- /dev/null
+++ b/external/include/glm/gtx/rotate_vector.hpp
@@ -0,0 +1,117 @@
+/// @ref gtx_rotate_vector
+/// @file glm/gtx/rotate_vector.hpp
+///
+/// @see core (dependence)
+/// @see gtx_transform (dependence)
+///
+/// @defgroup gtx_rotate_vector GLM_GTX_rotate_vector
+/// @ingroup gtx
+///
+/// @brief Function to directly rotate a vector
+///
+/// <glm/gtx/rotate_vector.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/transform.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_rotate_vector extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_rotate_vector
+ /// @{
+
+ /// Returns Spherical interpolation between two vectors
+ ///
+ /// @param x A first vector
+ /// @param y A second vector
+ /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
+ ///
+ /// @see gtx_rotate_vector
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> slerp(
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ T const & a);
+
+ //! Rotate a two dimensional vector.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec2<T, P> rotate(
+ tvec2<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a three dimensional vector around an axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rotate(
+ tvec3<T, P> const & v,
+ T const & angle,
+ tvec3<T, P> const & normal);
+
+ //! Rotate a four dimensional vector around an axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> rotate(
+ tvec4<T, P> const & v,
+ T const & angle,
+ tvec3<T, P> const & normal);
+
+ //! Rotate a three dimensional vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rotateX(
+ tvec3<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a three dimensional vector around the Y axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rotateY(
+ tvec3<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a three dimensional vector around the Z axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec3<T, P> rotateZ(
+ tvec3<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a four dimentionnals vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> rotateX(
+ tvec4<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a four dimensional vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> rotateY(
+ tvec4<T, P> const & v,
+ T const & angle);
+
+ //! Rotate a four dimensional vector around the X axis.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tvec4<T, P> rotateZ(
+ tvec4<T, P> const & v,
+ T const & angle);
+
+ //! Build a rotation matrix from a normal and a up vector.
+ //! From GLM_GTX_rotate_vector extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> orientation(
+ tvec3<T, P> const & Normal,
+ tvec3<T, P> const & Up);
+
+ /// @}
+}//namespace glm
+
+#include "rotate_vector.inl"
diff --git a/external/include/glm/gtx/rotate_vector.inl b/external/include/glm/gtx/rotate_vector.inl
new file mode 100644
index 0000000..5620e96
--- /dev/null
+++ b/external/include/glm/gtx/rotate_vector.inl
@@ -0,0 +1,188 @@
+/// @ref gtx_rotate_vector
+/// @file glm/gtx/rotate_vector.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> slerp
+ (
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ T const & a
+ )
+ {
+ // get cosine of angle between vectors (-1 -> 1)
+ T CosAlpha = dot(x, y);
+ // get angle (0 -> pi)
+ T Alpha = acos(CosAlpha);
+ // get sine of angle between vectors (0 -> 1)
+ T SinAlpha = sin(Alpha);
+ // this breaks down when SinAlpha = 0, i.e. Alpha = 0 or pi
+ T t1 = sin((static_cast<T>(1) - a) * Alpha) / SinAlpha;
+ T t2 = sin(a * Alpha) / SinAlpha;
+
+ // interpolate src vectors
+ return x * t1 + y * t2;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<T, P> rotate
+ (
+ tvec2<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec2<T, P> Result;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotate
+ (
+ tvec3<T, P> const & v,
+ T const & angle,
+ tvec3<T, P> const & normal
+ )
+ {
+ return tmat3x3<T, P>(glm::rotate(angle, normal)) * v;
+ }
+ /*
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotateGTX(
+ const tvec3<T, P>& x,
+ T angle,
+ const tvec3<T, P>& normal)
+ {
+ const T Cos = cos(radians(angle));
+ const T Sin = sin(radians(angle));
+ return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
+ }
+ */
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> rotate
+ (
+ tvec4<T, P> const & v,
+ T const & angle,
+ tvec3<T, P> const & normal
+ )
+ {
+ return rotate(angle, normal) * v;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotateX
+ (
+ tvec3<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec3<T, P> Result(v);
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.y = v.y * Cos - v.z * Sin;
+ Result.z = v.y * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotateY
+ (
+ tvec3<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec3<T, P> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos + v.z * Sin;
+ Result.z = -v.x * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> rotateZ
+ (
+ tvec3<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec3<T, P> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> rotateX
+ (
+ tvec4<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec4<T, P> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.y = v.y * Cos - v.z * Sin;
+ Result.z = v.y * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> rotateY
+ (
+ tvec4<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec4<T, P> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos + v.z * Sin;
+ Result.z = -v.x * Sin + v.z * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<T, P> rotateZ
+ (
+ tvec4<T, P> const & v,
+ T const & angle
+ )
+ {
+ tvec4<T, P> Result = v;
+ T const Cos(cos(angle));
+ T const Sin(sin(angle));
+
+ Result.x = v.x * Cos - v.y * Sin;
+ Result.y = v.x * Sin + v.y * Cos;
+ return Result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> orientation
+ (
+ tvec3<T, P> const & Normal,
+ tvec3<T, P> const & Up
+ )
+ {
+ if(all(equal(Normal, Up)))
+ return tmat4x4<T, P>(T(1));
+
+ tvec3<T, P> RotationAxis = cross(Up, Normal);
+ T Angle = acos(dot(Normal, Up));
+
+ return rotate(Angle, RotationAxis);
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/scalar_multiplication.hpp b/external/include/glm/gtx/scalar_multiplication.hpp
new file mode 100644
index 0000000..695e841
--- /dev/null
+++ b/external/include/glm/gtx/scalar_multiplication.hpp
@@ -0,0 +1,69 @@
+/// @ref gtx
+/// @file glm/gtx/scalar_multiplication.hpp
+/// @author Joshua Moerman
+///
+/// @brief Enables scalar multiplication for all types
+///
+/// Since GLSL is very strict about types, the following (often used) combinations do not work:
+/// double * vec4
+/// int * vec4
+/// vec4 / int
+/// So we'll fix that! Of course "float * vec4" should remain the same (hence the enable_if magic)
+
+#pragma once
+
+#include "../detail/setup.hpp"
+
+#if !GLM_HAS_TEMPLATE_ALIASES && !(GLM_COMPILER & GLM_COMPILER_GCC)
+# error "GLM_GTX_scalar_multiplication requires C++11 support or alias templates and if not support for GCC"
+#endif
+
+#include "../vec2.hpp"
+#include "../vec3.hpp"
+#include "../vec4.hpp"
+#include "../mat2x2.hpp"
+#include <type_traits>
+
+namespace glm
+{
+ template <typename T, typename Vec>
+ using return_type_scalar_multiplication = typename std::enable_if<
+ !std::is_same<T, float>::value // T may not be a float
+ && std::is_arithmetic<T>::value, Vec // But it may be an int or double (no vec3 or mat3, ...)
+ >::type;
+
+#define GLM_IMPLEMENT_SCAL_MULT(Vec) \
+ template <typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator*(T const & s, Vec rh){ \
+ return rh *= static_cast<float>(s); \
+ } \
+ \
+ template <typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator*(Vec lh, T const & s){ \
+ return lh *= static_cast<float>(s); \
+ } \
+ \
+ template <typename T> \
+ return_type_scalar_multiplication<T, Vec> \
+ operator/(Vec lh, T const & s){ \
+ return lh *= 1.0f / s; \
+ }
+
+GLM_IMPLEMENT_SCAL_MULT(vec2)
+GLM_IMPLEMENT_SCAL_MULT(vec3)
+GLM_IMPLEMENT_SCAL_MULT(vec4)
+
+GLM_IMPLEMENT_SCAL_MULT(mat2)
+GLM_IMPLEMENT_SCAL_MULT(mat2x3)
+GLM_IMPLEMENT_SCAL_MULT(mat2x4)
+GLM_IMPLEMENT_SCAL_MULT(mat3x2)
+GLM_IMPLEMENT_SCAL_MULT(mat3)
+GLM_IMPLEMENT_SCAL_MULT(mat3x4)
+GLM_IMPLEMENT_SCAL_MULT(mat4x2)
+GLM_IMPLEMENT_SCAL_MULT(mat4x3)
+GLM_IMPLEMENT_SCAL_MULT(mat4)
+
+#undef GLM_IMPLEMENT_SCAL_MULT
+} // namespace glm
diff --git a/external/include/glm/gtx/scalar_relational.hpp b/external/include/glm/gtx/scalar_relational.hpp
new file mode 100644
index 0000000..9695716
--- /dev/null
+++ b/external/include/glm/gtx/scalar_relational.hpp
@@ -0,0 +1,32 @@
+/// @ref gtx_scalar_relational
+/// @file glm/gtx/scalar_relational.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_scalar_relational GLM_GTX_scalar_relational
+/// @ingroup gtx
+///
+/// @brief Extend a position from a source to a position at a defined length.
+///
+/// <glm/gtx/scalar_relational.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_extend extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_scalar_relational
+ /// @{
+
+
+
+ /// @}
+}//namespace glm
+
+#include "scalar_relational.inl"
diff --git a/external/include/glm/gtx/scalar_relational.inl b/external/include/glm/gtx/scalar_relational.inl
new file mode 100644
index 0000000..709da04
--- /dev/null
+++ b/external/include/glm/gtx/scalar_relational.inl
@@ -0,0 +1,89 @@
+/// @ref gtx_scalar_relational
+/// @file glm/gtx/scalar_relational.inl
+
+namespace glm
+{
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool lessThan
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x < y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool lessThanEqual
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x <= y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool greaterThan
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x > y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool greaterThanEqual
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x >= y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool equal
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x == y;
+ }
+
+ template <typename T>
+ GLM_FUNC_QUALIFIER bool notEqual
+ (
+ T const & x,
+ T const & y
+ )
+ {
+ return x != y;
+ }
+
+ GLM_FUNC_QUALIFIER bool any
+ (
+ bool const & x
+ )
+ {
+ return x;
+ }
+
+ GLM_FUNC_QUALIFIER bool all
+ (
+ bool const & x
+ )
+ {
+ return x;
+ }
+
+ GLM_FUNC_QUALIFIER bool not_
+ (
+ bool const & x
+ )
+ {
+ return !x;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/simd_mat4.hpp b/external/include/glm/gtx/simd_mat4.hpp
new file mode 100644
index 0000000..a68220c
--- /dev/null
+++ b/external/include/glm/gtx/simd_mat4.hpp
@@ -0,0 +1,182 @@
+/// @ref gtx_simd_mat4
+/// @file glm/gtx/simd_mat4.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_simd_mat4 GLM_GTX_simd_mat4
+/// @ingroup gtx
+///
+/// @brief SIMD implementation of mat4 type.
+///
+/// <glm/gtx/simd_mat4.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependencies
+#include "../detail/setup.hpp"
+
+#if(GLM_ARCH != GLM_ARCH_PURE)
+
+#if(GLM_ARCH & GLM_ARCH_SSE2_BIT)
+# include "../detail/intrinsic_matrix.hpp"
+# include "../gtx/simd_vec4.hpp"
+#else
+# error "GLM: GLM_GTX_simd_mat4 requires compiler support of SSE2 through intrinsics"
+#endif
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_simd_mat4 extension included")
+# pragma message("GLM: GLM_GTX_simd_mat4 extension is deprecated and will be removed in GLM 0.9.9. Use mat4 instead and use compiler SIMD arguments.")
+#endif
+
+namespace glm{
+namespace detail
+{
+ /// 4x4 Matrix implemented using SIMD SEE intrinsics.
+ /// \ingroup gtx_simd_mat4
+ GLM_ALIGNED_STRUCT(16) fmat4x4SIMD
+ {
+ typedef float value_type;
+ typedef fvec4SIMD col_type;
+ typedef fvec4SIMD row_type;
+ typedef std::size_t size_type;
+ typedef fmat4x4SIMD type;
+ typedef fmat4x4SIMD transpose_type;
+
+ typedef tmat4x4<float, defaultp> pure_type;
+ typedef tvec4<float, defaultp> pure_row_type;
+ typedef tvec4<float, defaultp> pure_col_type;
+ typedef tmat4x4<float, defaultp> pure_transpose_type;
+
+ GLM_FUNC_DECL length_t length() const;
+
+ fvec4SIMD Data[4];
+
+ //////////////////////////////////////
+ // Constructors
+
+ fmat4x4SIMD() GLM_DEFAULT_CTOR;
+ explicit fmat4x4SIMD(float const & s);
+ explicit fmat4x4SIMD(
+ float const & x0, float const & y0, float const & z0, float const & w0,
+ float const & x1, float const & y1, float const & z1, float const & w1,
+ float const & x2, float const & y2, float const & z2, float const & w2,
+ float const & x3, float const & y3, float const & z3, float const & w3);
+ explicit fmat4x4SIMD(
+ fvec4SIMD const & v0,
+ fvec4SIMD const & v1,
+ fvec4SIMD const & v2,
+ fvec4SIMD const & v3);
+ explicit fmat4x4SIMD(
+ mat4x4 const & m);
+ explicit fmat4x4SIMD(
+ __m128 const in[4]);
+
+ // Conversions
+ //template <typename U>
+ //explicit tmat4x4(tmat4x4<U> const & m);
+
+ //explicit tmat4x4(tmat2x2<T> const & x);
+ //explicit tmat4x4(tmat3x3<T> const & x);
+ //explicit tmat4x4(tmat2x3<T> const & x);
+ //explicit tmat4x4(tmat3x2<T> const & x);
+ //explicit tmat4x4(tmat2x4<T> const & x);
+ //explicit tmat4x4(tmat4x2<T> const & x);
+ //explicit tmat4x4(tmat3x4<T> const & x);
+ //explicit tmat4x4(tmat4x3<T> const & x);
+
+ // Accesses
+ fvec4SIMD & operator[](length_t i);
+ fvec4SIMD const & operator[](length_t i) const;
+
+ // Unary updatable operators
+ fmat4x4SIMD & operator= (fmat4x4SIMD const & m) GLM_DEFAULT;
+ fmat4x4SIMD & operator+= (float const & s);
+ fmat4x4SIMD & operator+= (fmat4x4SIMD const & m);
+ fmat4x4SIMD & operator-= (float const & s);
+ fmat4x4SIMD & operator-= (fmat4x4SIMD const & m);
+ fmat4x4SIMD & operator*= (float const & s);
+ fmat4x4SIMD & operator*= (fmat4x4SIMD const & m);
+ fmat4x4SIMD & operator/= (float const & s);
+ fmat4x4SIMD & operator/= (fmat4x4SIMD const & m);
+ fmat4x4SIMD & operator++ ();
+ fmat4x4SIMD & operator-- ();
+ };
+
+ // Binary operators
+ fmat4x4SIMD operator+ (fmat4x4SIMD const & m, float const & s);
+ fmat4x4SIMD operator+ (float const & s, fmat4x4SIMD const & m);
+ fmat4x4SIMD operator+ (fmat4x4SIMD const & m1, fmat4x4SIMD const & m2);
+
+ fmat4x4SIMD operator- (fmat4x4SIMD const & m, float const & s);
+ fmat4x4SIMD operator- (float const & s, fmat4x4SIMD const & m);
+ fmat4x4SIMD operator- (fmat4x4SIMD const & m1, fmat4x4SIMD const & m2);
+
+ fmat4x4SIMD operator* (fmat4x4SIMD const & m, float const & s);
+ fmat4x4SIMD operator* (float const & s, fmat4x4SIMD const & m);
+
+ fvec4SIMD operator* (fmat4x4SIMD const & m, fvec4SIMD const & v);
+ fvec4SIMD operator* (fvec4SIMD const & v, fmat4x4SIMD const & m);
+
+ fmat4x4SIMD operator* (fmat4x4SIMD const & m1, fmat4x4SIMD const & m2);
+
+ fmat4x4SIMD operator/ (fmat4x4SIMD const & m, float const & s);
+ fmat4x4SIMD operator/ (float const & s, fmat4x4SIMD const & m);
+
+ fvec4SIMD operator/ (fmat4x4SIMD const & m, fvec4SIMD const & v);
+ fvec4SIMD operator/ (fvec4SIMD const & v, fmat4x4SIMD const & m);
+
+ fmat4x4SIMD operator/ (fmat4x4SIMD const & m1, fmat4x4SIMD const & m2);
+
+ // Unary constant operators
+ fmat4x4SIMD const operator- (fmat4x4SIMD const & m);
+ fmat4x4SIMD const operator-- (fmat4x4SIMD const & m, int);
+ fmat4x4SIMD const operator++ (fmat4x4SIMD const & m, int);
+}//namespace detail
+
+ typedef detail::fmat4x4SIMD simdMat4;
+
+ /// @addtogroup gtx_simd_mat4
+ /// @{
+
+ //! Convert a simdMat4 to a mat4.
+ //! (From GLM_GTX_simd_mat4 extension)
+ mat4 mat4_cast(
+ detail::fmat4x4SIMD const & x);
+
+ //! Multiply matrix x by matrix y component-wise, i.e.,
+ //! result[i][j] is the scalar product of x[i][j] and y[i][j].
+ //! (From GLM_GTX_simd_mat4 extension).
+ detail::fmat4x4SIMD matrixCompMult(
+ detail::fmat4x4SIMD const & x,
+ detail::fmat4x4SIMD const & y);
+
+ //! Treats the first parameter c as a column vector
+ //! and the second parameter r as a row vector
+ //! and does a linear algebraic matrix multiply c * r.
+ //! (From GLM_GTX_simd_mat4 extension).
+ detail::fmat4x4SIMD outerProduct(
+ detail::fvec4SIMD const & c,
+ detail::fvec4SIMD const & r);
+
+ //! Returns the transposed matrix of x
+ //! (From GLM_GTX_simd_mat4 extension).
+ detail::fmat4x4SIMD transpose(
+ detail::fmat4x4SIMD const & x);
+
+ //! Return the determinant of a mat4 matrix.
+ //! (From GLM_GTX_simd_mat4 extension).
+ float determinant(
+ detail::fmat4x4SIMD const & m);
+
+ //! Return the inverse of a mat4 matrix.
+ //! (From GLM_GTX_simd_mat4 extension).
+ detail::fmat4x4SIMD inverse(
+ detail::fmat4x4SIMD const & m);
+
+ /// @}
+}// namespace glm
+
+#include "simd_mat4.inl"
+
+#endif//(GLM_ARCH != GLM_ARCH_PURE)
diff --git a/external/include/glm/gtx/simd_mat4.inl b/external/include/glm/gtx/simd_mat4.inl
new file mode 100644
index 0000000..9643255
--- /dev/null
+++ b/external/include/glm/gtx/simd_mat4.inl
@@ -0,0 +1,577 @@
+/// @ref gtx_simd_mat4
+/// @file glm/gtx/simd_mat4.inl
+
+namespace glm{
+namespace detail{
+
+GLM_FUNC_QUALIFIER length_t fmat4x4SIMD::length() const
+{
+ return 4;
+}
+
+//////////////////////////////////////
+// Accesses
+
+GLM_FUNC_QUALIFIER fvec4SIMD & fmat4x4SIMD::operator[]
+(
+ length_t i
+)
+{
+ assert(i < this->length());
+
+ return this->Data[i];
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD const & fmat4x4SIMD::operator[]
+(
+ length_t i
+) const
+{
+ assert(i < this->length());
+
+ return this->Data[i];
+}
+
+//////////////////////////////////////////////////////////////
+// Constructors
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS || !defined(GLM_FORCE_NO_CTOR_INIT)
+ GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD()
+ {
+# ifndef GLM_FORCE_NO_CTOR_INIT
+ this->Data[0] = fvec4SIMD(1, 0, 0, 0);
+ this->Data[1] = fvec4SIMD(0, 1, 0, 0);
+ this->Data[2] = fvec4SIMD(0, 0, 1, 0);
+ this->Data[3] = fvec4SIMD(0, 0, 0, 1);
+# endif
+ }
+# endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD(float const & s)
+{
+ this->Data[0] = fvec4SIMD(s, 0, 0, 0);
+ this->Data[1] = fvec4SIMD(0, s, 0, 0);
+ this->Data[2] = fvec4SIMD(0, 0, s, 0);
+ this->Data[3] = fvec4SIMD(0, 0, 0, s);
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD
+(
+ float const & x0, float const & y0, float const & z0, float const & w0,
+ float const & x1, float const & y1, float const & z1, float const & w1,
+ float const & x2, float const & y2, float const & z2, float const & w2,
+ float const & x3, float const & y3, float const & z3, float const & w3
+)
+{
+ this->Data[0] = fvec4SIMD(x0, y0, z0, w0);
+ this->Data[1] = fvec4SIMD(x1, y1, z1, w1);
+ this->Data[2] = fvec4SIMD(x2, y2, z2, w2);
+ this->Data[3] = fvec4SIMD(x3, y3, z3, w3);
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD
+(
+ fvec4SIMD const & v0,
+ fvec4SIMD const & v1,
+ fvec4SIMD const & v2,
+ fvec4SIMD const & v3
+)
+{
+ this->Data[0] = v0;
+ this->Data[1] = v1;
+ this->Data[2] = v2;
+ this->Data[3] = v3;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD
+(
+ mat4 const & m
+)
+{
+ this->Data[0] = fvec4SIMD(m[0]);
+ this->Data[1] = fvec4SIMD(m[1]);
+ this->Data[2] = fvec4SIMD(m[2]);
+ this->Data[3] = fvec4SIMD(m[3]);
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD::fmat4x4SIMD
+(
+ __m128 const in[4]
+)
+{
+ this->Data[0] = in[0];
+ this->Data[1] = in[1];
+ this->Data[2] = in[2];
+ this->Data[3] = in[3];
+}
+
+//////////////////////////////////////////////////////////////
+// mat4 operators
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS
+ GLM_FUNC_QUALIFIER fmat4x4SIMD& fmat4x4SIMD::operator=
+ (
+ fmat4x4SIMD const & m
+ )
+ {
+ this->Data[0] = m[0];
+ this->Data[1] = m[1];
+ this->Data[2] = m[2];
+ this->Data[3] = m[3];
+ return *this;
+ }
+#endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator+=
+(
+ fmat4x4SIMD const & m
+)
+{
+ this->Data[0].Data = _mm_add_ps(this->Data[0].Data, m[0].Data);
+ this->Data[1].Data = _mm_add_ps(this->Data[1].Data, m[1].Data);
+ this->Data[2].Data = _mm_add_ps(this->Data[2].Data, m[2].Data);
+ this->Data[3].Data = _mm_add_ps(this->Data[3].Data, m[3].Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator-=
+(
+ fmat4x4SIMD const & m
+)
+{
+ this->Data[0].Data = _mm_sub_ps(this->Data[0].Data, m[0].Data);
+ this->Data[1].Data = _mm_sub_ps(this->Data[1].Data, m[1].Data);
+ this->Data[2].Data = _mm_sub_ps(this->Data[2].Data, m[2].Data);
+ this->Data[3].Data = _mm_sub_ps(this->Data[3].Data, m[3].Data);
+
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator*=
+(
+ fmat4x4SIMD const & m
+)
+{
+ sse_mul_ps(&this->Data[0].Data, &m.Data[0].Data, &this->Data[0].Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator/=
+(
+ fmat4x4SIMD const & m
+)
+{
+ __m128 Inv[4];
+ sse_inverse_ps(&m.Data[0].Data, Inv);
+ sse_mul_ps(&this->Data[0].Data, Inv, &this->Data[0].Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator+=
+(
+ float const & s
+)
+{
+ __m128 Operand = _mm_set_ps1(s);
+ this->Data[0].Data = _mm_add_ps(this->Data[0].Data, Operand);
+ this->Data[1].Data = _mm_add_ps(this->Data[1].Data, Operand);
+ this->Data[2].Data = _mm_add_ps(this->Data[2].Data, Operand);
+ this->Data[3].Data = _mm_add_ps(this->Data[3].Data, Operand);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator-=
+(
+ float const & s
+)
+{
+ __m128 Operand = _mm_set_ps1(s);
+ this->Data[0].Data = _mm_sub_ps(this->Data[0].Data, Operand);
+ this->Data[1].Data = _mm_sub_ps(this->Data[1].Data, Operand);
+ this->Data[2].Data = _mm_sub_ps(this->Data[2].Data, Operand);
+ this->Data[3].Data = _mm_sub_ps(this->Data[3].Data, Operand);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator*=
+(
+ float const & s
+)
+{
+ __m128 Operand = _mm_set_ps1(s);
+ this->Data[0].Data = _mm_mul_ps(this->Data[0].Data, Operand);
+ this->Data[1].Data = _mm_mul_ps(this->Data[1].Data, Operand);
+ this->Data[2].Data = _mm_mul_ps(this->Data[2].Data, Operand);
+ this->Data[3].Data = _mm_mul_ps(this->Data[3].Data, Operand);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator/=
+(
+ float const & s
+)
+{
+ __m128 Operand = _mm_div_ps(one, _mm_set_ps1(s));
+ this->Data[0].Data = _mm_mul_ps(this->Data[0].Data, Operand);
+ this->Data[1].Data = _mm_mul_ps(this->Data[1].Data, Operand);
+ this->Data[2].Data = _mm_mul_ps(this->Data[2].Data, Operand);
+ this->Data[3].Data = _mm_mul_ps(this->Data[3].Data, Operand);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator++ ()
+{
+ this->Data[0].Data = _mm_add_ps(this->Data[0].Data, one);
+ this->Data[1].Data = _mm_add_ps(this->Data[1].Data, one);
+ this->Data[2].Data = _mm_add_ps(this->Data[2].Data, one);
+ this->Data[3].Data = _mm_add_ps(this->Data[3].Data, one);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD & fmat4x4SIMD::operator-- ()
+{
+ this->Data[0].Data = _mm_sub_ps(this->Data[0].Data, one);
+ this->Data[1].Data = _mm_sub_ps(this->Data[1].Data, one);
+ this->Data[2].Data = _mm_sub_ps(this->Data[2].Data, one);
+ this->Data[3].Data = _mm_sub_ps(this->Data[3].Data, one);
+ return *this;
+}
+
+
+//////////////////////////////////////////////////////////////
+// Binary operators
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator+
+(
+ const fmat4x4SIMD &m,
+ float const & s
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] + s,
+ m[1] + s,
+ m[2] + s,
+ m[3] + s
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator+
+(
+ float const & s,
+ const fmat4x4SIMD &m
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] + s,
+ m[1] + s,
+ m[2] + s,
+ m[3] + s
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator+
+(
+ const fmat4x4SIMD &m1,
+ const fmat4x4SIMD &m2
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m1[0] + m2[0],
+ m1[1] + m2[1],
+ m1[2] + m2[2],
+ m1[3] + m2[3]
+ );
+}
+
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator-
+(
+ const fmat4x4SIMD &m,
+ float const & s
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] - s,
+ m[1] - s,
+ m[2] - s,
+ m[3] - s
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator-
+(
+ float const & s,
+ const fmat4x4SIMD &m
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ s - m[0],
+ s - m[1],
+ s - m[2],
+ s - m[3]
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator-
+(
+ const fmat4x4SIMD &m1,
+ const fmat4x4SIMD &m2
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m1[0] - m2[0],
+ m1[1] - m2[1],
+ m1[2] - m2[2],
+ m1[3] - m2[3]
+ );
+}
+
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator*
+(
+ const fmat4x4SIMD &m,
+ float const & s
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] * s,
+ m[1] * s,
+ m[2] * s,
+ m[3] * s
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator*
+(
+ float const & s,
+ const fmat4x4SIMD &m
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] * s,
+ m[1] * s,
+ m[2] * s,
+ m[3] * s
+ );
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator*
+(
+ const fmat4x4SIMD &m,
+ fvec4SIMD const & v
+)
+{
+ return sse_mul_ps(&m.Data[0].Data, v.Data);
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator*
+(
+ fvec4SIMD const & v,
+ const fmat4x4SIMD &m
+)
+{
+ return sse_mul_ps(v.Data, &m.Data[0].Data);
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator*
+(
+ const fmat4x4SIMD &m1,
+ const fmat4x4SIMD &m2
+)
+{
+ fmat4x4SIMD result;
+ sse_mul_ps(&m1.Data[0].Data, &m2.Data[0].Data, &result.Data[0].Data);
+
+ return result;
+}
+
+
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator/
+(
+ const fmat4x4SIMD &m,
+ float const & s
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] / s,
+ m[1] / s,
+ m[2] / s,
+ m[3] / s
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator/
+(
+ float const & s,
+ const fmat4x4SIMD &m
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ s / m[0],
+ s / m[1],
+ s / m[2],
+ s / m[3]
+ );
+}
+
+GLM_FUNC_QUALIFIER detail::fmat4x4SIMD inverse(detail::fmat4x4SIMD const & m)
+{
+ detail::fmat4x4SIMD result;
+ detail::sse_inverse_ps(&m[0].Data, &result[0].Data);
+ return result;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator/
+(
+ const fmat4x4SIMD & m,
+ fvec4SIMD const & v
+)
+{
+ return inverse(m) * v;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator/
+(
+ fvec4SIMD const & v,
+ const fmat4x4SIMD &m
+)
+{
+ return v * inverse(m);
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD operator/
+(
+ const fmat4x4SIMD &m1,
+ const fmat4x4SIMD &m2
+)
+{
+ __m128 result[4];
+ __m128 inv[4];
+
+ sse_inverse_ps(&m2.Data[0].Data, inv);
+ sse_mul_ps(&m1.Data[0].Data, inv, result);
+
+ return fmat4x4SIMD(result);
+}
+
+
+//////////////////////////////////////////////////////////////
+// Unary constant operators
+GLM_FUNC_QUALIFIER fmat4x4SIMD const operator-
+(
+ fmat4x4SIMD const & m
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ -m[0],
+ -m[1],
+ -m[2],
+ -m[3]
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD const operator--
+(
+ fmat4x4SIMD const & m,
+ int
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] - 1.0f,
+ m[1] - 1.0f,
+ m[2] - 1.0f,
+ m[3] - 1.0f
+ );
+}
+
+GLM_FUNC_QUALIFIER fmat4x4SIMD const operator++
+(
+ fmat4x4SIMD const & m,
+ int
+)
+{
+ return detail::fmat4x4SIMD
+ (
+ m[0] + 1.0f,
+ m[1] + 1.0f,
+ m[2] + 1.0f,
+ m[3] + 1.0f
+ );
+}
+
+}//namespace detail
+
+GLM_FUNC_QUALIFIER mat4 mat4_cast
+(
+ detail::fmat4x4SIMD const & x
+)
+{
+ GLM_ALIGN(16) mat4 Result;
+ _mm_store_ps(&Result[0][0], x.Data[0].Data);
+ _mm_store_ps(&Result[1][0], x.Data[1].Data);
+ _mm_store_ps(&Result[2][0], x.Data[2].Data);
+ _mm_store_ps(&Result[3][0], x.Data[3].Data);
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER detail::fmat4x4SIMD matrixCompMult
+(
+ detail::fmat4x4SIMD const & x,
+ detail::fmat4x4SIMD const & y
+)
+{
+ detail::fmat4x4SIMD result;
+ result[0] = x[0] * y[0];
+ result[1] = x[1] * y[1];
+ result[2] = x[2] * y[2];
+ result[3] = x[3] * y[3];
+ return result;
+}
+
+GLM_FUNC_QUALIFIER detail::fmat4x4SIMD outerProduct
+(
+ detail::fvec4SIMD const & c,
+ detail::fvec4SIMD const & r
+)
+{
+ __m128 Shu0 = _mm_shuffle_ps(r.Data, r.Data, _MM_SHUFFLE(0, 0, 0, 0));
+ __m128 Shu1 = _mm_shuffle_ps(r.Data, r.Data, _MM_SHUFFLE(1, 1, 1, 1));
+ __m128 Shu2 = _mm_shuffle_ps(r.Data, r.Data, _MM_SHUFFLE(2, 2, 2, 2));
+ __m128 Shu3 = _mm_shuffle_ps(r.Data, r.Data, _MM_SHUFFLE(3, 3, 3, 3));
+
+ detail::fmat4x4SIMD result(uninitialize);
+ result[0].Data = _mm_mul_ps(c.Data, Shu0);
+ result[1].Data = _mm_mul_ps(c.Data, Shu1);
+ result[2].Data = _mm_mul_ps(c.Data, Shu2);
+ result[3].Data = _mm_mul_ps(c.Data, Shu3);
+ return result;
+}
+
+GLM_FUNC_QUALIFIER detail::fmat4x4SIMD transpose(detail::fmat4x4SIMD const & m)
+{
+ detail::fmat4x4SIMD result;
+ glm_mat4_transpose(&m[0].Data, &result[0].Data);
+ return result;
+}
+
+GLM_FUNC_QUALIFIER float determinant(detail::fmat4x4SIMD const & m)
+{
+ float Result;
+ _mm_store_ss(&Result, glm_mat4_determinant(&m[0].Data));
+ return Result;
+}
+
+}//namespace glm
diff --git a/external/include/glm/gtx/simd_quat.hpp b/external/include/glm/gtx/simd_quat.hpp
new file mode 100644
index 0000000..b134019
--- /dev/null
+++ b/external/include/glm/gtx/simd_quat.hpp
@@ -0,0 +1,307 @@
+/// @ref gtx_simd_quat
+/// @file glm/gtx/simd_quat.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_simd_quat GLM_GTX_simd_quat
+/// @ingroup gtx
+///
+/// @brief SIMD implementation of quat type.
+///
+/// <glm/gtx/simd_quat.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/fast_trigonometry.hpp"
+
+#if GLM_ARCH != GLM_ARCH_PURE
+
+#if GLM_ARCH & GLM_ARCH_SSE2_BIT
+# include "../gtx/simd_mat4.hpp"
+#else
+# error "GLM: GLM_GTX_simd_quat requires compiler support of SSE2 through intrinsics"
+#endif
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_simd_quat extension included")
+# pragma message("GLM: GLM_GTX_simd_quat extension is deprecated and will be removed in GLM 0.9.9. Use GLM_GTC_quaternion instead and use compiler SIMD arguments.")
+#endif
+
+// Warning silencer for nameless struct/union.
+#if (GLM_COMPILER & GLM_COMPILER_VC)
+# pragma warning(push)
+# pragma warning(disable:4201) // warning C4201: nonstandard extension used : nameless struct/union
+#endif
+
+namespace glm{
+namespace detail
+{
+ GLM_ALIGNED_STRUCT(16) fquatSIMD
+ {
+ typedef float value_type;
+ typedef std::size_t size_type;
+
+ typedef fquatSIMD type;
+ typedef tquat<bool, defaultp> bool_type;
+ typedef tquat<float, defaultp> pure_type;
+
+#ifdef GLM_SIMD_ENABLE_XYZW_UNION
+ union
+ {
+ __m128 Data;
+ struct {float x, y, z, w;};
+ };
+#else
+ __m128 Data;
+#endif
+
+ //////////////////////////////////////
+ // Implicit basic constructors
+
+ fquatSIMD() GLM_DEFAULT_CTOR;
+ fquatSIMD(fquatSIMD const & q) GLM_DEFAULT;
+ fquatSIMD(__m128 const & Data);
+
+ //////////////////////////////////////
+ // Explicit basic constructors
+
+ explicit fquatSIMD(
+ ctor);
+ explicit fquatSIMD(
+ float const & w,
+ float const & x,
+ float const & y,
+ float const & z);
+ explicit fquatSIMD(
+ quat const & v);
+ explicit fquatSIMD(
+ vec3 const & eulerAngles);
+
+
+ //////////////////////////////////////
+ // Unary arithmetic operators
+
+ fquatSIMD& operator= (fquatSIMD const & q) GLM_DEFAULT;
+ fquatSIMD& operator*=(float const & s);
+ fquatSIMD& operator/=(float const & s);
+ };
+
+
+ //////////////////////////////////////
+ // Arithmetic operators
+
+ detail::fquatSIMD operator- (
+ detail::fquatSIMD const & q);
+
+ detail::fquatSIMD operator+ (
+ detail::fquatSIMD const & q,
+ detail::fquatSIMD const & p);
+
+ detail::fquatSIMD operator* (
+ detail::fquatSIMD const & q,
+ detail::fquatSIMD const & p);
+
+ detail::fvec4SIMD operator* (
+ detail::fquatSIMD const & q,
+ detail::fvec4SIMD const & v);
+
+ detail::fvec4SIMD operator* (
+ detail::fvec4SIMD const & v,
+ detail::fquatSIMD const & q);
+
+ detail::fquatSIMD operator* (
+ detail::fquatSIMD const & q,
+ float s);
+
+ detail::fquatSIMD operator* (
+ float s,
+ detail::fquatSIMD const & q);
+
+ detail::fquatSIMD operator/ (
+ detail::fquatSIMD const & q,
+ float s);
+
+}//namespace detail
+
+ /// @addtogroup gtx_simd_quat
+ /// @{
+
+ typedef glm::detail::fquatSIMD simdQuat;
+
+ //! Convert a simdQuat to a quat.
+ /// @see gtx_simd_quat
+ quat quat_cast(
+ detail::fquatSIMD const & x);
+
+ //! Convert a simdMat4 to a simdQuat.
+ /// @see gtx_simd_quat
+ detail::fquatSIMD quatSIMD_cast(
+ detail::fmat4x4SIMD const & m);
+
+ //! Converts a mat4 to a simdQuat.
+ /// @see gtx_simd_quat
+ template <typename T, precision P>
+ detail::fquatSIMD quatSIMD_cast(
+ tmat4x4<T, P> const & m);
+
+ //! Converts a mat3 to a simdQuat.
+ /// @see gtx_simd_quat
+ template <typename T, precision P>
+ detail::fquatSIMD quatSIMD_cast(
+ tmat3x3<T, P> const & m);
+
+ //! Convert a simdQuat to a simdMat4
+ /// @see gtx_simd_quat
+ detail::fmat4x4SIMD mat4SIMD_cast(
+ detail::fquatSIMD const & q);
+
+ //! Converts a simdQuat to a standard mat4.
+ /// @see gtx_simd_quat
+ mat4 mat4_cast(
+ detail::fquatSIMD const & q);
+
+
+ /// Returns the length of the quaternion.
+ ///
+ /// @see gtx_simd_quat
+ float length(
+ detail::fquatSIMD const & x);
+
+ /// Returns the normalized quaternion.
+ ///
+ /// @see gtx_simd_quat
+ detail::fquatSIMD normalize(
+ detail::fquatSIMD const & x);
+
+ /// Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...
+ ///
+ /// @see gtx_simd_quat
+ float dot(
+ detail::fquatSIMD const & q1,
+ detail::fquatSIMD const & q2);
+
+ /// Spherical linear interpolation of two quaternions.
+ /// The interpolation is oriented and the rotation is performed at constant speed.
+ /// For short path spherical linear interpolation, use the slerp function.
+ ///
+ /// @param x A quaternion
+ /// @param y A quaternion
+ /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
+ /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
+ /// @see gtx_simd_quat
+ /// @see - slerp(detail::fquatSIMD const & x, detail::fquatSIMD const & y, T const & a)
+ detail::fquatSIMD mix(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a);
+
+ /// Linear interpolation of two quaternions.
+ /// The interpolation is oriented.
+ ///
+ /// @param x A quaternion
+ /// @param y A quaternion
+ /// @param a Interpolation factor. The interpolation is defined in the range [0, 1].
+ /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
+ /// @see gtx_simd_quat
+ detail::fquatSIMD lerp(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a);
+
+ /// Spherical linear interpolation of two quaternions.
+ /// The interpolation always take the short path and the rotation is performed at constant speed.
+ ///
+ /// @param x A quaternion
+ /// @param y A quaternion
+ /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
+ /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
+ /// @see gtx_simd_quat
+ detail::fquatSIMD slerp(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a);
+
+
+ /// Faster spherical linear interpolation of two unit length quaternions.
+ ///
+ /// This is the same as mix(), except for two rules:
+ /// 1) The two quaternions must be unit length.
+ /// 2) The interpolation factor (a) must be in the range [0, 1].
+ ///
+ /// This will use the equivalent to fastAcos() and fastSin().
+ ///
+ /// @see gtx_simd_quat
+ /// @see - mix(detail::fquatSIMD const & x, detail::fquatSIMD const & y, T const & a)
+ detail::fquatSIMD fastMix(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a);
+
+ /// Identical to fastMix() except takes the shortest path.
+ ///
+ /// The same rules apply here as those in fastMix(). Both quaternions must be unit length and 'a' must be
+ /// in the range [0, 1].
+ ///
+ /// @see - fastMix(detail::fquatSIMD const & x, detail::fquatSIMD const & y, T const & a)
+ /// @see - slerp(detail::fquatSIMD const & x, detail::fquatSIMD const & y, T const & a)
+ detail::fquatSIMD fastSlerp(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a);
+
+
+ /// Returns the q conjugate.
+ ///
+ /// @see gtx_simd_quat
+ detail::fquatSIMD conjugate(
+ detail::fquatSIMD const & q);
+
+ /// Returns the q inverse.
+ ///
+ /// @see gtx_simd_quat
+ detail::fquatSIMD inverse(
+ detail::fquatSIMD const & q);
+
+ /// Build a quaternion from an angle and a normalized axis.
+ ///
+ /// @param angle Angle expressed in radians.
+ /// @param axis Axis of the quaternion, must be normalized.
+ ///
+ /// @see gtx_simd_quat
+ detail::fquatSIMD angleAxisSIMD(
+ float const & angle,
+ vec3 const & axis);
+
+ /// Build a quaternion from an angle and a normalized axis.
+ ///
+ /// @param angle Angle expressed in radians.
+ /// @param x x component of the x-axis, x, y, z must be a normalized axis
+ /// @param y y component of the y-axis, x, y, z must be a normalized axis
+ /// @param z z component of the z-axis, x, y, z must be a normalized axis
+ ///
+ /// @see gtx_simd_quat
+ detail::fquatSIMD angleAxisSIMD(
+ float const & angle,
+ float const & x,
+ float const & y,
+ float const & z);
+
+ // TODO: Move this to somewhere more appropriate. Used with fastMix() and fastSlerp().
+ /// Performs the equivalent of glm::fastSin() on each component of the given __m128.
+ __m128 fastSin(__m128 x);
+
+ /// @}
+}//namespace glm
+
+#include "simd_quat.inl"
+
+
+#if (GLM_COMPILER & GLM_COMPILER_VC)
+# pragma warning(pop)
+#endif
+
+
+#endif//(GLM_ARCH != GLM_ARCH_PURE)
diff --git a/external/include/glm/gtx/simd_quat.inl b/external/include/glm/gtx/simd_quat.inl
new file mode 100644
index 0000000..b84865c
--- /dev/null
+++ b/external/include/glm/gtx/simd_quat.inl
@@ -0,0 +1,620 @@
+/// @ref gtx_simd_quat
+/// @file glm/gtx/simd_quat.inl
+
+namespace glm{
+namespace detail{
+
+
+//////////////////////////////////////
+// Debugging
+#if 0
+void print(__m128 v)
+{
+ GLM_ALIGN(16) float result[4];
+ _mm_store_ps(result, v);
+
+ printf("__m128: %f %f %f %f\n", result[0], result[1], result[2], result[3]);
+}
+
+void print(const fvec4SIMD &v)
+{
+ printf("fvec4SIMD: %f %f %f %f\n", v.x, v.y, v.z, v.w);
+}
+#endif
+
+//////////////////////////////////////
+// Implicit basic constructors
+
+# if !GLM_HAS_DEFAULTED_FUNCTIONS || !defined(GLM_FORCE_NO_CTOR_INIT)
+ GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD()
+# ifdef GLM_FORCE_NO_CTOR_INIT
+ : Data(_mm_set_ps(1.0f, 0.0f, 0.0f, 0.0f))
+# endif
+ {}
+# endif
+
+# if !GLM_HAS_DEFAULTED_FUNCTIONS
+ GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD(fquatSIMD const & q) :
+ Data(q.Data)
+ {}
+# endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD(__m128 const & Data) :
+ Data(Data)
+{}
+
+//////////////////////////////////////
+// Explicit basic constructors
+
+GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD(float const & w, float const & x, float const & y, float const & z) :
+ Data(_mm_set_ps(w, z, y, x))
+{}
+
+GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD(quat const & q) :
+ Data(_mm_set_ps(q.w, q.z, q.y, q.x))
+{}
+
+GLM_FUNC_QUALIFIER fquatSIMD::fquatSIMD(vec3 const & eulerAngles)
+{
+ vec3 c = glm::cos(eulerAngles * 0.5f);
+ vec3 s = glm::sin(eulerAngles * 0.5f);
+
+ Data = _mm_set_ps(
+ (c.x * c.y * c.z) + (s.x * s.y * s.z),
+ (c.x * c.y * s.z) - (s.x * s.y * c.z),
+ (c.x * s.y * c.z) + (s.x * c.y * s.z),
+ (s.x * c.y * c.z) - (c.x * s.y * s.z));
+}
+
+
+//////////////////////////////////////
+// Unary arithmetic operators
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS
+ GLM_FUNC_QUALIFIER fquatSIMD& fquatSIMD::operator=(fquatSIMD const & q)
+ {
+ this->Data = q.Data;
+ return *this;
+ }
+#endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fquatSIMD& fquatSIMD::operator*=(float const & s)
+{
+ this->Data = _mm_mul_ps(this->Data, _mm_set_ps1(s));
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fquatSIMD& fquatSIMD::operator/=(float const & s)
+{
+ this->Data = _mm_div_ps(Data, _mm_set1_ps(s));
+ return *this;
+}
+
+
+
+// negate operator
+GLM_FUNC_QUALIFIER fquatSIMD operator- (fquatSIMD const & q)
+{
+ return fquatSIMD(_mm_mul_ps(q.Data, _mm_set_ps(-1.0f, -1.0f, -1.0f, -1.0f)));
+}
+
+// operator+
+GLM_FUNC_QUALIFIER fquatSIMD operator+ (fquatSIMD const & q1, fquatSIMD const & q2)
+{
+ return fquatSIMD(_mm_add_ps(q1.Data, q2.Data));
+}
+
+//operator*
+GLM_FUNC_QUALIFIER fquatSIMD operator* (fquatSIMD const & q1, fquatSIMD const & q2)
+{
+ // SSE2 STATS:
+ // 11 shuffle
+ // 8 mul
+ // 8 add
+
+ // SSE4 STATS:
+ // 3 shuffle
+ // 4 mul
+ // 4 dpps
+
+ __m128 mul0 = _mm_mul_ps(q1.Data, _mm_shuffle_ps(q2.Data, q2.Data, _MM_SHUFFLE(0, 1, 2, 3)));
+ __m128 mul1 = _mm_mul_ps(q1.Data, _mm_shuffle_ps(q2.Data, q2.Data, _MM_SHUFFLE(1, 0, 3, 2)));
+ __m128 mul2 = _mm_mul_ps(q1.Data, _mm_shuffle_ps(q2.Data, q2.Data, _MM_SHUFFLE(2, 3, 0, 1)));
+ __m128 mul3 = _mm_mul_ps(q1.Data, q2.Data);
+
+# if(GLM_ARCH & GLM_ARCH_SSE41_BIT)
+ __m128 add0 = _mm_dp_ps(mul0, _mm_set_ps(1.0f, -1.0f, 1.0f, 1.0f), 0xff);
+ __m128 add1 = _mm_dp_ps(mul1, _mm_set_ps(1.0f, 1.0f, 1.0f, -1.0f), 0xff);
+ __m128 add2 = _mm_dp_ps(mul2, _mm_set_ps(1.0f, 1.0f, -1.0f, 1.0f), 0xff);
+ __m128 add3 = _mm_dp_ps(mul3, _mm_set_ps(1.0f, -1.0f, -1.0f, -1.0f), 0xff);
+# else
+ mul0 = _mm_mul_ps(mul0, _mm_set_ps(1.0f, -1.0f, 1.0f, 1.0f));
+ __m128 add0 = _mm_add_ps(mul0, _mm_movehl_ps(mul0, mul0));
+ add0 = _mm_add_ss(add0, _mm_shuffle_ps(add0, add0, 1));
+
+ mul1 = _mm_mul_ps(mul1, _mm_set_ps(1.0f, 1.0f, 1.0f, -1.0f));
+ __m128 add1 = _mm_add_ps(mul1, _mm_movehl_ps(mul1, mul1));
+ add1 = _mm_add_ss(add1, _mm_shuffle_ps(add1, add1, 1));
+
+ mul2 = _mm_mul_ps(mul2, _mm_set_ps(1.0f, 1.0f, -1.0f, 1.0f));
+ __m128 add2 = _mm_add_ps(mul2, _mm_movehl_ps(mul2, mul2));
+ add2 = _mm_add_ss(add2, _mm_shuffle_ps(add2, add2, 1));
+
+ mul3 = _mm_mul_ps(mul3, _mm_set_ps(1.0f, -1.0f, -1.0f, -1.0f));
+ __m128 add3 = _mm_add_ps(mul3, _mm_movehl_ps(mul3, mul3));
+ add3 = _mm_add_ss(add3, _mm_shuffle_ps(add3, add3, 1));
+#endif
+
+
+ // This SIMD code is a politically correct way of doing this, but in every test I've tried it has been slower than
+ // the final code below. I'll keep this here for reference - maybe somebody else can do something better...
+ //
+ //__m128 xxyy = _mm_shuffle_ps(add0, add1, _MM_SHUFFLE(0, 0, 0, 0));
+ //__m128 zzww = _mm_shuffle_ps(add2, add3, _MM_SHUFFLE(0, 0, 0, 0));
+ //
+ //return _mm_shuffle_ps(xxyy, zzww, _MM_SHUFFLE(2, 0, 2, 0));
+
+ float x;
+ float y;
+ float z;
+ float w;
+
+ _mm_store_ss(&x, add0);
+ _mm_store_ss(&y, add1);
+ _mm_store_ss(&z, add2);
+ _mm_store_ss(&w, add3);
+
+ return detail::fquatSIMD(w, x, y, z);
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator* (fquatSIMD const & q, fvec4SIMD const & v)
+{
+ static const __m128 two = _mm_set1_ps(2.0f);
+
+ __m128 q_wwww = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 3, 3, 3));
+ __m128 q_swp0 = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 0, 2, 1));
+ __m128 q_swp1 = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 1, 0, 2));
+ __m128 v_swp0 = _mm_shuffle_ps(v.Data, v.Data, _MM_SHUFFLE(3, 0, 2, 1));
+ __m128 v_swp1 = _mm_shuffle_ps(v.Data, v.Data, _MM_SHUFFLE(3, 1, 0, 2));
+
+ __m128 uv = _mm_sub_ps(_mm_mul_ps(q_swp0, v_swp1), _mm_mul_ps(q_swp1, v_swp0));
+ __m128 uv_swp0 = _mm_shuffle_ps(uv, uv, _MM_SHUFFLE(3, 0, 2, 1));
+ __m128 uv_swp1 = _mm_shuffle_ps(uv, uv, _MM_SHUFFLE(3, 1, 0, 2));
+ __m128 uuv = _mm_sub_ps(_mm_mul_ps(q_swp0, uv_swp1), _mm_mul_ps(q_swp1, uv_swp0));
+
+
+ uv = _mm_mul_ps(uv, _mm_mul_ps(q_wwww, two));
+ uuv = _mm_mul_ps(uuv, two);
+
+ return _mm_add_ps(v.Data, _mm_add_ps(uv, uuv));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator* (fvec4SIMD const & v, fquatSIMD const & q)
+{
+ return glm::inverse(q) * v;
+}
+
+GLM_FUNC_QUALIFIER fquatSIMD operator* (fquatSIMD const & q, float s)
+{
+ return fquatSIMD(_mm_mul_ps(q.Data, _mm_set1_ps(s)));
+}
+
+GLM_FUNC_QUALIFIER fquatSIMD operator* (float s, fquatSIMD const & q)
+{
+ return fquatSIMD(_mm_mul_ps(_mm_set1_ps(s), q.Data));
+}
+
+
+//operator/
+GLM_FUNC_QUALIFIER fquatSIMD operator/ (fquatSIMD const & q, float s)
+{
+ return fquatSIMD(_mm_div_ps(q.Data, _mm_set1_ps(s)));
+}
+
+
+}//namespace detail
+
+
+GLM_FUNC_QUALIFIER quat quat_cast
+(
+ detail::fquatSIMD const & x
+)
+{
+ GLM_ALIGN(16) quat Result;
+ _mm_store_ps(&Result[0], x.Data);
+
+ return Result;
+}
+
+template <typename T>
+GLM_FUNC_QUALIFIER detail::fquatSIMD quatSIMD_cast_impl(const T m0[], const T m1[], const T m2[])
+{
+ T trace = m0[0] + m1[1] + m2[2] + T(1.0);
+ if (trace > T(0))
+ {
+ T s = static_cast<T>(0.5) / sqrt(trace);
+
+ return _mm_set_ps(
+ static_cast<float>(T(0.25) / s),
+ static_cast<float>((m0[1] - m1[0]) * s),
+ static_cast<float>((m2[0] - m0[2]) * s),
+ static_cast<float>((m1[2] - m2[1]) * s));
+ }
+ else
+ {
+ if (m0[0] > m1[1])
+ {
+ if (m0[0] > m2[2])
+ {
+ // X is biggest.
+ T s = sqrt(m0[0] - m1[1] - m2[2] + T(1.0)) * T(0.5);
+
+ return _mm_set_ps(
+ static_cast<float>((m1[2] - m2[1]) * s),
+ static_cast<float>((m2[0] + m0[2]) * s),
+ static_cast<float>((m0[1] + m1[0]) * s),
+ static_cast<float>(T(0.5) * s));
+ }
+ }
+ else
+ {
+ if (m1[1] > m2[2])
+ {
+ // Y is biggest.
+ T s = sqrt(m1[1] - m0[0] - m2[2] + T(1.0)) * T(0.5);
+
+ return _mm_set_ps(
+ static_cast<float>((m2[0] - m0[2]) * s),
+ static_cast<float>((m1[2] + m2[1]) * s),
+ static_cast<float>(T(0.5) * s),
+ static_cast<float>((m0[1] + m1[0]) * s));
+ }
+ }
+
+ // Z is biggest.
+ T s = sqrt(m2[2] - m0[0] - m1[1] + T(1.0)) * T(0.5);
+
+ return _mm_set_ps(
+ static_cast<float>((m0[1] - m1[0]) * s),
+ static_cast<float>(T(0.5) * s),
+ static_cast<float>((m1[2] + m2[1]) * s),
+ static_cast<float>((m2[0] + m0[2]) * s));
+ }
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD quatSIMD_cast
+(
+ detail::fmat4x4SIMD const & m
+)
+{
+ // Scalar implementation for now.
+ GLM_ALIGN(16) float m0[4];
+ GLM_ALIGN(16) float m1[4];
+ GLM_ALIGN(16) float m2[4];
+
+ _mm_store_ps(m0, m[0].Data);
+ _mm_store_ps(m1, m[1].Data);
+ _mm_store_ps(m2, m[2].Data);
+
+ return quatSIMD_cast_impl(m0, m1, m2);
+}
+
+template <typename T, precision P>
+GLM_FUNC_QUALIFIER detail::fquatSIMD quatSIMD_cast
+(
+ tmat4x4<T, P> const & m
+)
+{
+ return quatSIMD_cast_impl(&m[0][0], &m[1][0], &m[2][0]);
+}
+
+template <typename T, precision P>
+GLM_FUNC_QUALIFIER detail::fquatSIMD quatSIMD_cast
+(
+ tmat3x3<T, P> const & m
+)
+{
+ return quatSIMD_cast_impl(&m[0][0], &m[1][0], &m[2][0]);
+}
+
+
+GLM_FUNC_QUALIFIER detail::fmat4x4SIMD mat4SIMD_cast
+(
+ detail::fquatSIMD const & q
+)
+{
+ detail::fmat4x4SIMD result;
+
+ __m128 _wwww = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 3, 3, 3));
+ __m128 _xyzw = q.Data;
+ __m128 _zxyw = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 1, 0, 2));
+ __m128 _yzxw = _mm_shuffle_ps(q.Data, q.Data, _MM_SHUFFLE(3, 0, 2, 1));
+
+ __m128 _xyzw2 = _mm_add_ps(_xyzw, _xyzw);
+ __m128 _zxyw2 = _mm_shuffle_ps(_xyzw2, _xyzw2, _MM_SHUFFLE(3, 1, 0, 2));
+ __m128 _yzxw2 = _mm_shuffle_ps(_xyzw2, _xyzw2, _MM_SHUFFLE(3, 0, 2, 1));
+
+ __m128 _tmp0 = _mm_sub_ps(_mm_set1_ps(1.0f), _mm_mul_ps(_yzxw2, _yzxw));
+ _tmp0 = _mm_sub_ps(_tmp0, _mm_mul_ps(_zxyw2, _zxyw));
+
+ __m128 _tmp1 = _mm_mul_ps(_yzxw2, _xyzw);
+ _tmp1 = _mm_add_ps(_tmp1, _mm_mul_ps(_zxyw2, _wwww));
+
+ __m128 _tmp2 = _mm_mul_ps(_zxyw2, _xyzw);
+ _tmp2 = _mm_sub_ps(_tmp2, _mm_mul_ps(_yzxw2, _wwww));
+
+
+ // There's probably a better, more politically correct way of doing this...
+ result[0].Data = _mm_set_ps(
+ 0.0f,
+ reinterpret_cast<float*>(&_tmp2)[0],
+ reinterpret_cast<float*>(&_tmp1)[0],
+ reinterpret_cast<float*>(&_tmp0)[0]);
+
+ result[1].Data = _mm_set_ps(
+ 0.0f,
+ reinterpret_cast<float*>(&_tmp1)[1],
+ reinterpret_cast<float*>(&_tmp0)[1],
+ reinterpret_cast<float*>(&_tmp2)[1]);
+
+ result[2].Data = _mm_set_ps(
+ 0.0f,
+ reinterpret_cast<float*>(&_tmp0)[2],
+ reinterpret_cast<float*>(&_tmp2)[2],
+ reinterpret_cast<float*>(&_tmp1)[2]);
+
+ result[3].Data = _mm_set_ps(
+ 1.0f,
+ 0.0f,
+ 0.0f,
+ 0.0f);
+
+
+ return result;
+}
+
+GLM_FUNC_QUALIFIER mat4 mat4_cast
+(
+ detail::fquatSIMD const & q
+)
+{
+ return mat4_cast(mat4SIMD_cast(q));
+}
+
+
+
+GLM_FUNC_QUALIFIER float length
+(
+ detail::fquatSIMD const & q
+)
+{
+ return glm::sqrt(dot(q, q));
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD normalize
+(
+ detail::fquatSIMD const & q
+)
+{
+ return _mm_mul_ps(q.Data, _mm_set1_ps(1.0f / length(q)));
+}
+
+GLM_FUNC_QUALIFIER float dot
+(
+ detail::fquatSIMD const & q1,
+ detail::fquatSIMD const & q2
+)
+{
+ float result;
+ _mm_store_ss(&result, detail::sse_dot_ps(q1.Data, q2.Data));
+
+ return result;
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD mix
+(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a
+)
+{
+ float cosTheta = dot(x, y);
+
+ if (cosTheta > 1.0f - glm::epsilon<float>())
+ {
+ return _mm_add_ps(x.Data, _mm_mul_ps(_mm_set1_ps(a), _mm_sub_ps(y.Data, x.Data)));
+ }
+ else
+ {
+ float angle = glm::acos(cosTheta);
+
+
+ float s0 = glm::sin((1.0f - a) * angle);
+ float s1 = glm::sin(a * angle);
+ float d = 1.0f / glm::sin(angle);
+
+ return (s0 * x + s1 * y) * d;
+ }
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD lerp
+(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a
+)
+{
+ // Lerp is only defined in [0, 1]
+ assert(a >= 0.0f);
+ assert(a <= 1.0f);
+
+ return _mm_add_ps(x.Data, _mm_mul_ps(_mm_set1_ps(a), _mm_sub_ps(y.Data, x.Data)));
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD slerp
+(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a
+)
+{
+ detail::fquatSIMD z = y;
+
+ float cosTheta = dot(x, y);
+
+ // If cosTheta < 0, the interpolation will take the long way around the sphere.
+ // To fix this, one quat must be negated.
+ if (cosTheta < 0.0f)
+ {
+ z = -y;
+ cosTheta = -cosTheta;
+ }
+
+ // Perform a linear interpolation when cosTheta is close to 1 to avoid side effect of sin(angle) becoming a zero denominator
+ if(cosTheta > 1.0f - epsilon<float>())
+ {
+ return _mm_add_ps(x.Data, _mm_mul_ps(_mm_set1_ps(a), _mm_sub_ps(y.Data, x.Data)));
+ }
+ else
+ {
+ float angle = glm::acos(cosTheta);
+
+
+ float s0 = glm::sin((1.0f - a) * angle);
+ float s1 = glm::sin(a * angle);
+ float d = 1.0f / glm::sin(angle);
+
+ return (s0 * x + s1 * y) * d;
+ }
+}
+
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD fastMix
+(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a
+)
+{
+ float cosTheta = dot(x, y);
+
+ if (cosTheta > 1.0f - glm::epsilon<float>())
+ {
+ return _mm_add_ps(x.Data, _mm_mul_ps(_mm_set1_ps(a), _mm_sub_ps(y.Data, x.Data)));
+ }
+ else
+ {
+ float angle = glm::fastAcos(cosTheta);
+
+
+ __m128 s = glm::fastSin(_mm_set_ps((1.0f - a) * angle, a * angle, angle, 0.0f));
+
+ __m128 s0 = _mm_shuffle_ps(s, s, _MM_SHUFFLE(3, 3, 3, 3));
+ __m128 s1 = _mm_shuffle_ps(s, s, _MM_SHUFFLE(2, 2, 2, 2));
+ __m128 d = _mm_div_ps(_mm_set1_ps(1.0f), _mm_shuffle_ps(s, s, _MM_SHUFFLE(1, 1, 1, 1)));
+
+ return _mm_mul_ps(_mm_add_ps(_mm_mul_ps(s0, x.Data), _mm_mul_ps(s1, y.Data)), d);
+ }
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD fastSlerp
+(
+ detail::fquatSIMD const & x,
+ detail::fquatSIMD const & y,
+ float const & a
+)
+{
+ detail::fquatSIMD z = y;
+
+ float cosTheta = dot(x, y);
+ if (cosTheta < 0.0f)
+ {
+ z = -y;
+ cosTheta = -cosTheta;
+ }
+
+
+ if(cosTheta > 1.0f - epsilon<float>())
+ {
+ return _mm_add_ps(x.Data, _mm_mul_ps(_mm_set1_ps(a), _mm_sub_ps(y.Data, x.Data)));
+ }
+ else
+ {
+ float angle = glm::fastAcos(cosTheta);
+
+
+ __m128 s = glm::fastSin(_mm_set_ps((1.0f - a) * angle, a * angle, angle, 0.0f));
+
+ __m128 s0 = _mm_shuffle_ps(s, s, _MM_SHUFFLE(3, 3, 3, 3));
+ __m128 s1 = _mm_shuffle_ps(s, s, _MM_SHUFFLE(2, 2, 2, 2));
+ __m128 d = _mm_div_ps(_mm_set1_ps(1.0f), _mm_shuffle_ps(s, s, _MM_SHUFFLE(1, 1, 1, 1)));
+
+ return _mm_mul_ps(_mm_add_ps(_mm_mul_ps(s0, x.Data), _mm_mul_ps(s1, y.Data)), d);
+ }
+}
+
+
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD conjugate
+(
+ detail::fquatSIMD const & q
+)
+{
+ return detail::fquatSIMD(_mm_mul_ps(q.Data, _mm_set_ps(1.0f, -1.0f, -1.0f, -1.0f)));
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD inverse
+(
+ detail::fquatSIMD const & q
+)
+{
+ return conjugate(q) / dot(q, q);
+}
+
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD angleAxisSIMD
+(
+ float const & angle,
+ vec3 const & v
+)
+{
+ float s = glm::sin(angle * 0.5f);
+
+ return _mm_set_ps(
+ glm::cos(angle * 0.5f),
+ v.z * s,
+ v.y * s,
+ v.x * s);
+}
+
+GLM_FUNC_QUALIFIER detail::fquatSIMD angleAxisSIMD
+(
+ float const & angle,
+ float const & x,
+ float const & y,
+ float const & z
+)
+{
+ return angleAxisSIMD(angle, vec3(x, y, z));
+}
+
+
+GLM_FUNC_QUALIFIER __m128 fastSin(__m128 x)
+{
+ static const __m128 c0 = _mm_set1_ps(0.16666666666666666666666666666667f);
+ static const __m128 c1 = _mm_set1_ps(0.00833333333333333333333333333333f);
+ static const __m128 c2 = _mm_set1_ps(0.00019841269841269841269841269841f);
+
+ __m128 x3 = _mm_mul_ps(x, _mm_mul_ps(x, x));
+ __m128 x5 = _mm_mul_ps(x3, _mm_mul_ps(x, x));
+ __m128 x7 = _mm_mul_ps(x5, _mm_mul_ps(x, x));
+
+ __m128 y0 = _mm_mul_ps(x3, c0);
+ __m128 y1 = _mm_mul_ps(x5, c1);
+ __m128 y2 = _mm_mul_ps(x7, c2);
+
+ return _mm_sub_ps(_mm_add_ps(_mm_sub_ps(x, y0), y1), y2);
+}
+
+
+}//namespace glm
diff --git a/external/include/glm/gtx/simd_vec4.hpp b/external/include/glm/gtx/simd_vec4.hpp
new file mode 100644
index 0000000..cde540b
--- /dev/null
+++ b/external/include/glm/gtx/simd_vec4.hpp
@@ -0,0 +1,546 @@
+/// @ref gtx_simd_vec4
+/// @file glm/gtx/simd_vec4.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_simd_vec4 GLM_GTX_simd_vec4
+/// @ingroup gtx
+///
+/// @brief SIMD implementation of vec4 type.
+///
+/// <glm/gtx/simd_vec4.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+
+#if(GLM_ARCH != GLM_ARCH_PURE)
+
+#if(GLM_ARCH & GLM_ARCH_SSE2_BIT)
+# include "../detail/intrinsic_common.hpp"
+# include "../detail/intrinsic_geometric.hpp"
+# include "../detail/intrinsic_integer.hpp"
+#else
+# error "GLM: GLM_GTX_simd_vec4 requires compiler support of SSE2 through intrinsics"
+#endif
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_simd_vec4 extension included")
+# pragma message("GLM: GLM_GTX_simd_vec4 extension is deprecated and will be removed in GLM 0.9.9. Use *vec4 types instead and use compiler SIMD arguments.")
+#endif
+
+
+// Warning silencer for nameless struct/union.
+#if (GLM_COMPILER & GLM_COMPILER_VC)
+# pragma warning(push)
+# pragma warning(disable:4201) // warning C4201: nonstandard extension used : nameless struct/union
+#endif
+
+namespace glm
+{
+ enum comp
+ {
+ X = 0,
+ R = 0,
+ S = 0,
+ Y = 1,
+ G = 1,
+ T = 1,
+ Z = 2,
+ B = 2,
+ P = 2,
+ W = 3,
+ A = 3,
+ Q = 3
+ };
+
+}//namespace glm
+
+namespace glm{
+namespace detail
+{
+ /// 4-dimensional vector implemented using SIMD SEE intrinsics.
+ /// \ingroup gtx_simd_vec4
+ GLM_ALIGNED_STRUCT(16) fvec4SIMD
+ {
+ typedef float value_type;
+ typedef std::size_t size_type;
+
+ typedef fvec4SIMD type;
+ typedef tvec4<float, defaultp> pure_type;
+ typedef tvec4<bool, highp> bool_type;
+
+#ifdef GLM_SIMD_ENABLE_XYZW_UNION
+ union
+ {
+ __m128 Data;
+ struct {float x, y, z, w;};
+ };
+#else
+ __m128 Data;
+#endif
+
+ //////////////////////////////////////
+ // Implicit basic constructors
+
+ fvec4SIMD() GLM_DEFAULT_CTOR;
+ fvec4SIMD(fvec4SIMD const & v) GLM_DEFAULT;
+ fvec4SIMD(__m128 const & Data);
+
+ //////////////////////////////////////
+ // Explicit basic constructors
+
+ explicit fvec4SIMD(
+ ctor);
+ explicit fvec4SIMD(
+ float const & s);
+ explicit fvec4SIMD(
+ float const & x,
+ float const & y,
+ float const & z,
+ float const & w);
+ explicit fvec4SIMD(
+ vec4 const & v);
+
+ ////////////////////////////////////////
+ //// Conversion vector constructors
+
+ fvec4SIMD(vec2 const & v, float const & s1, float const & s2);
+ fvec4SIMD(float const & s1, vec2 const & v, float const & s2);
+ fvec4SIMD(float const & s1, float const & s2, vec2 const & v);
+ fvec4SIMD(vec3 const & v, float const & s);
+ fvec4SIMD(float const & s, vec3 const & v);
+ fvec4SIMD(vec2 const & v1, vec2 const & v2);
+ //fvec4SIMD(ivec4SIMD const & v);
+
+ //////////////////////////////////////
+ // Unary arithmetic operators
+
+ fvec4SIMD& operator= (fvec4SIMD const & v) GLM_DEFAULT;
+ fvec4SIMD& operator+=(fvec4SIMD const & v);
+ fvec4SIMD& operator-=(fvec4SIMD const & v);
+ fvec4SIMD& operator*=(fvec4SIMD const & v);
+ fvec4SIMD& operator/=(fvec4SIMD const & v);
+
+ fvec4SIMD& operator+=(float const & s);
+ fvec4SIMD& operator-=(float const & s);
+ fvec4SIMD& operator*=(float const & s);
+ fvec4SIMD& operator/=(float const & s);
+
+ fvec4SIMD& operator++();
+ fvec4SIMD& operator--();
+
+ //////////////////////////////////////
+ // Swizzle operators
+
+ template <comp X_, comp Y_, comp Z_, comp W_>
+ fvec4SIMD& swizzle();
+ template <comp X_, comp Y_, comp Z_, comp W_>
+ fvec4SIMD swizzle() const;
+ template <comp X_, comp Y_, comp Z_>
+ fvec4SIMD swizzle() const;
+ template <comp X_, comp Y_>
+ fvec4SIMD swizzle() const;
+ template <comp X_>
+ fvec4SIMD swizzle() const;
+ };
+}//namespace detail
+
+ typedef glm::detail::fvec4SIMD simdVec4;
+
+ /// @addtogroup gtx_simd_vec4
+ /// @{
+
+ //! Convert a simdVec4 to a vec4.
+ /// @see gtx_simd_vec4
+ vec4 vec4_cast(
+ detail::fvec4SIMD const & x);
+
+ //! Returns x if x >= 0; otherwise, it returns -x.
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD abs(detail::fvec4SIMD const & x);
+
+ //! Returns 1.0 if x > 0, 0.0 if x = 0, or -1.0 if x < 0.
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD sign(detail::fvec4SIMD const & x);
+
+ //! Returns a value equal to the nearest integer that is less then or equal to x.
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD floor(detail::fvec4SIMD const & x);
+
+ //! Returns a value equal to the nearest integer to x
+ //! whose absolute value is not larger than the absolute value of x.
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD trunc(detail::fvec4SIMD const & x);
+
+ //! Returns a value equal to the nearest integer to x.
+ //! The fraction 0.5 will round in a direction chosen by the
+ //! implementation, presumably the direction that is fastest.
+ //! This includes the possibility that round(x) returns the
+ //! same value as roundEven(x) for all values of x.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD round(detail::fvec4SIMD const & x);
+
+ //! Returns a value equal to the nearest integer to x.
+ //! A fractional part of 0.5 will round toward the nearest even
+ //! integer. (Both 3.5 and 4.5 for x will return 4.0.)
+ ///
+ /// @see gtx_simd_vec4
+ //detail::fvec4SIMD roundEven(detail::fvec4SIMD const & x);
+
+ //! Returns a value equal to the nearest integer
+ //! that is greater than or equal to x.
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD ceil(detail::fvec4SIMD const & x);
+
+ //! Return x - floor(x).
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fract(detail::fvec4SIMD const & x);
+
+ //! Modulus. Returns x - y * floor(x / y)
+ //! for each component in x using the floating point value y.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD mod(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ //! Modulus. Returns x - y * floor(x / y)
+ //! for each component in x using the floating point value y.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD mod(
+ detail::fvec4SIMD const & x,
+ float const & y);
+
+ //! Returns the fractional part of x and sets i to the integer
+ //! part (as a whole number floating point value). Both the
+ //! return value and the output parameter will have the same
+ //! sign as x.
+ //! (From GLM_GTX_simd_vec4 extension, common function)
+ //detail::fvec4SIMD modf(
+ // detail::fvec4SIMD const & x,
+ // detail::fvec4SIMD & i);
+
+ //! Returns y if y < x; otherwise, it returns x.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD min(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ detail::fvec4SIMD min(
+ detail::fvec4SIMD const & x,
+ float const & y);
+
+ //! Returns y if x < y; otherwise, it returns x.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD max(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ detail::fvec4SIMD max(
+ detail::fvec4SIMD const & x,
+ float const & y);
+
+ //! Returns min(max(x, minVal), maxVal) for each component in x
+ //! using the floating-point values minVal and maxVal.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD clamp(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & minVal,
+ detail::fvec4SIMD const & maxVal);
+
+ detail::fvec4SIMD clamp(
+ detail::fvec4SIMD const & x,
+ float const & minVal,
+ float const & maxVal);
+
+ //! \return If genTypeU is a floating scalar or vector:
+ //! Returns x * (1.0 - a) + y * a, i.e., the linear blend of
+ //! x and y using the floating-point value a.
+ //! The value for a is not restricted to the range [0, 1].
+ //!
+ //! \return If genTypeU is a boolean scalar or vector:
+ //! Selects which vector each returned component comes
+ //! from. For a component of a that is false, the
+ //! corresponding component of x is returned. For a
+ //! component of a that is true, the corresponding
+ //! component of y is returned. Components of x and y that
+ //! are not selected are allowed to be invalid floating point
+ //! values and will have no effect on the results. Thus, this
+ //! provides different functionality than
+ //! genType mix(genType x, genType y, genType(a))
+ //! where a is a Boolean vector.
+ //!
+ //! From GLSL 1.30.08 specification, section 8.3
+ //!
+ //! \param[in] x Floating point scalar or vector.
+ //! \param[in] y Floating point scalar or vector.
+ //! \param[in] a Floating point or boolean scalar or vector.
+ //!
+ /// \todo Test when 'a' is a boolean.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD mix(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y,
+ detail::fvec4SIMD const & a);
+
+ //! Returns 0.0 if x < edge, otherwise it returns 1.0.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD step(
+ detail::fvec4SIMD const & edge,
+ detail::fvec4SIMD const & x);
+
+ detail::fvec4SIMD step(
+ float const & edge,
+ detail::fvec4SIMD const & x);
+
+ //! Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
+ //! performs smooth Hermite interpolation between 0 and 1
+ //! when edge0 < x < edge1. This is useful in cases where
+ //! you would want a threshold function with a smooth
+ //! transition. This is equivalent to:
+ //! genType t;
+ //! t = clamp ((x - edge0) / (edge1 - edge0), 0, 1);
+ //! return t * t * (3 - 2 * t);
+ //! Results are undefined if edge0 >= edge1.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD smoothstep(
+ detail::fvec4SIMD const & edge0,
+ detail::fvec4SIMD const & edge1,
+ detail::fvec4SIMD const & x);
+
+ detail::fvec4SIMD smoothstep(
+ float const & edge0,
+ float const & edge1,
+ detail::fvec4SIMD const & x);
+
+ //! Returns true if x holds a NaN (not a number)
+ //! representation in the underlying implementation's set of
+ //! floating point representations. Returns false otherwise,
+ //! including for implementations with no NaN
+ //! representations.
+ ///
+ /// @see gtx_simd_vec4
+ //bvec4 isnan(detail::fvec4SIMD const & x);
+
+ //! Returns true if x holds a positive infinity or negative
+ //! infinity representation in the underlying implementation's
+ //! set of floating point representations. Returns false
+ //! otherwise, including for implementations with no infinity
+ //! representations.
+ ///
+ /// @see gtx_simd_vec4
+ //bvec4 isinf(detail::fvec4SIMD const & x);
+
+ //! Returns a signed or unsigned integer value representing
+ //! the encoding of a floating-point value. The floatingpoint
+ //! value's bit-level representation is preserved.
+ ///
+ /// @see gtx_simd_vec4
+ //detail::ivec4SIMD floatBitsToInt(detail::fvec4SIMD const & value);
+
+ //! Returns a floating-point value corresponding to a signed
+ //! or unsigned integer encoding of a floating-point value.
+ //! If an inf or NaN is passed in, it will not signal, and the
+ //! resulting floating point value is unspecified. Otherwise,
+ //! the bit-level representation is preserved.
+ ///
+ /// @see gtx_simd_vec4
+ //detail::fvec4SIMD intBitsToFloat(detail::ivec4SIMD const & value);
+
+ //! Computes and returns a * b + c.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fma(
+ detail::fvec4SIMD const & a,
+ detail::fvec4SIMD const & b,
+ detail::fvec4SIMD const & c);
+
+ //! Splits x into a floating-point significand in the range
+ //! [0.5, 1.0) and an integral exponent of two, such that:
+ //! x = significand * exp(2, exponent)
+ //! The significand is returned by the function and the
+ //! exponent is returned in the parameter exp. For a
+ //! floating-point value of zero, the significant and exponent
+ //! are both zero. For a floating-point value that is an
+ //! infinity or is not a number, the results are undefined.
+ ///
+ /// @see gtx_simd_vec4
+ //detail::fvec4SIMD frexp(detail::fvec4SIMD const & x, detail::ivec4SIMD & exp);
+
+ //! Builds a floating-point number from x and the
+ //! corresponding integral exponent of two in exp, returning:
+ //! significand * exp(2, exponent)
+ //! If this product is too large to be represented in the
+ //! floating-point type, the result is undefined.
+ ///
+ /// @see gtx_simd_vec4
+ //detail::fvec4SIMD ldexp(detail::fvec4SIMD const & x, detail::ivec4SIMD const & exp);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ ///
+ /// @see gtx_simd_vec4
+ float length(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ //! Less accurate but much faster than simdLength.
+ ///
+ /// @see gtx_simd_vec4
+ float fastLength(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ //! Slightly more accurate but much slower than simdLength.
+ ///
+ /// @see gtx_simd_vec4
+ float niceLength(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD length4(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ //! Less accurate but much faster than simdLength4.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fastLength4(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the length of x, i.e., sqrt(x * x).
+ //! Slightly more accurate but much slower than simdLength4.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD niceLength4(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the distance betwwen p0 and p1, i.e., length(p0 - p1).
+ ///
+ /// @see gtx_simd_vec4
+ float distance(
+ detail::fvec4SIMD const & p0,
+ detail::fvec4SIMD const & p1);
+
+ //! Returns the distance betwwen p0 and p1, i.e., length(p0 - p1).
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD distance4(
+ detail::fvec4SIMD const & p0,
+ detail::fvec4SIMD const & p1);
+
+ //! Returns the dot product of x and y, i.e., result = x * y.
+ ///
+ /// @see gtx_simd_vec4
+ float simdDot(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ //! Returns the dot product of x and y, i.e., result = x * y.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD dot4(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ //! Returns the cross product of x and y.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD cross(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y);
+
+ //! Returns a vector in the same direction as x but with length of 1.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD normalize(
+ detail::fvec4SIMD const & x);
+
+ //! Returns a vector in the same direction as x but with length of 1.
+ //! Less accurate but much faster than simdNormalize.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fastNormalize(
+ detail::fvec4SIMD const & x);
+
+ //! If dot(Nref, I) < 0.0, return N, otherwise, return -N.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD simdFaceforward(
+ detail::fvec4SIMD const & N,
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & Nref);
+
+ //! For the incident vector I and surface orientation N,
+ //! returns the reflection direction : result = I - 2.0 * dot(N, I) * N.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD reflect(
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & N);
+
+ //! For the incident vector I and surface normal N,
+ //! and the ratio of indices of refraction eta,
+ //! return the refraction vector.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD refract(
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & N,
+ float const & eta);
+
+ //! Returns the positive square root of x.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD sqrt(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the positive square root of x with the nicest quality but very slow.
+ //! Slightly more accurate but much slower than simdSqrt.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD niceSqrt(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the positive square root of x
+ //! Less accurate but much faster than sqrt.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fastSqrt(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the reciprocal of the positive square root of x.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD inversesqrt(
+ detail::fvec4SIMD const & x);
+
+ //! Returns the reciprocal of the positive square root of x.
+ //! Faster than inversesqrt but less accurate.
+ ///
+ /// @see gtx_simd_vec4
+ detail::fvec4SIMD fastInversesqrt(
+ detail::fvec4SIMD const & x);
+
+ /// @}
+}//namespace glm
+
+#include "simd_vec4.inl"
+
+#if (GLM_COMPILER & GLM_COMPILER_VC)
+# pragma warning(pop)
+#endif
+
+#endif//(GLM_ARCH != GLM_ARCH_PURE)
diff --git a/external/include/glm/gtx/simd_vec4.inl b/external/include/glm/gtx/simd_vec4.inl
new file mode 100644
index 0000000..efc87c6
--- /dev/null
+++ b/external/include/glm/gtx/simd_vec4.inl
@@ -0,0 +1,721 @@
+/// @ref gtx_simd_vec4
+/// @file glm/gtx/simd_vec4.inl
+
+namespace glm{
+namespace detail{
+
+//////////////////////////////////////
+// Implicit basic constructors
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS || !defined(GLM_FORCE_NO_CTOR_INIT)
+ GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD()
+# ifdef GLM_FORCE_NO_CTOR_INIT
+ : Data(_mm_set_ps(0.0f, 0.0f, 0.0f, 0.0f))
+# endif
+ {}
+#endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS
+ GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(fvec4SIMD const & v) :
+ Data(v.Data)
+ {}
+#endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(__m128 const & Data) :
+ Data(Data)
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(vec4 const & v) :
+ Data(_mm_set_ps(v.w, v.z, v.y, v.x))
+{}
+
+//////////////////////////////////////
+// Explicit basic constructors
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const & s) :
+ Data(_mm_set1_ps(s))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const & x, float const & y, float const & z, float const & w) :
+// Data(_mm_setr_ps(x, y, z, w))
+ Data(_mm_set_ps(w, z, y, x))
+{}
+/*
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const v[4]) :
+ Data(_mm_load_ps(v))
+{}
+*/
+//////////////////////////////////////
+// Swizzle constructors
+
+//fvec4SIMD(ref4<float> const & r);
+
+//////////////////////////////////////
+// Conversion vector constructors
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(vec2 const & v, float const & s1, float const & s2) :
+ Data(_mm_set_ps(s2, s1, v.y, v.x))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const & s1, vec2 const & v, float const & s2) :
+ Data(_mm_set_ps(s2, v.y, v.x, s1))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const & s1, float const & s2, vec2 const & v) :
+ Data(_mm_set_ps(v.y, v.x, s2, s1))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(vec3 const & v, float const & s) :
+ Data(_mm_set_ps(s, v.z, v.y, v.x))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(float const & s, vec3 const & v) :
+ Data(_mm_set_ps(v.z, v.y, v.x, s))
+{}
+
+GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(vec2 const & v1, vec2 const & v2) :
+ Data(_mm_set_ps(v2.y, v2.x, v1.y, v1.x))
+{}
+
+//GLM_FUNC_QUALIFIER fvec4SIMD::fvec4SIMD(ivec4SIMD const & v) :
+// Data(_mm_cvtepi32_ps(v.Data))
+//{}
+
+//////////////////////////////////////
+// Unary arithmetic operators
+
+#if !GLM_HAS_DEFAULTED_FUNCTIONS
+ GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator=(fvec4SIMD const & v)
+ {
+ this->Data = v.Data;
+ return *this;
+ }
+#endif//!GLM_HAS_DEFAULTED_FUNCTIONS
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator+=(float const & s)
+{
+ this->Data = _mm_add_ps(Data, _mm_set_ps1(s));
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator+=(fvec4SIMD const & v)
+{
+ this->Data = _mm_add_ps(this->Data , v.Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator-=(float const & s)
+{
+ this->Data = _mm_sub_ps(Data, _mm_set_ps1(s));
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator-=(fvec4SIMD const & v)
+{
+ this->Data = _mm_sub_ps(this->Data , v.Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator*=(float const & s)
+{
+ this->Data = _mm_mul_ps(this->Data, _mm_set_ps1(s));
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator*=(fvec4SIMD const & v)
+{
+ this->Data = _mm_mul_ps(this->Data , v.Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator/=(float const & s)
+{
+ this->Data = _mm_div_ps(Data, _mm_set1_ps(s));
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator/=(fvec4SIMD const & v)
+{
+ this->Data = _mm_div_ps(this->Data , v.Data);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator++()
+{
+ this->Data = _mm_add_ps(this->Data , glm::detail::one);
+ return *this;
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::operator--()
+{
+ this->Data = _mm_sub_ps(this->Data, glm::detail::one);
+ return *this;
+}
+
+//////////////////////////////////////
+// Swizzle operators
+
+template <comp X_, comp Y_, comp Z_, comp W_>
+GLM_FUNC_QUALIFIER fvec4SIMD fvec4SIMD::swizzle() const
+{
+ __m128 Data = _mm_shuffle_ps(
+ this->Data, this->Data,
+ shuffle_mask<(W_ << 6) | (Z_ << 4) | (Y_ << 2) | (X_ << 0)>::value);
+ return fvec4SIMD(Data);
+}
+
+template <comp X_, comp Y_, comp Z_, comp W_>
+GLM_FUNC_QUALIFIER fvec4SIMD& fvec4SIMD::swizzle()
+{
+ this->Data = _mm_shuffle_ps(
+ this->Data, this->Data,
+ shuffle_mask<(W_ << 6) | (Z_ << 4) | (Y_ << 2) | (X_ << 0)>::value);
+ return *this;
+}
+
+// operator+
+GLM_FUNC_QUALIFIER fvec4SIMD operator+ (fvec4SIMD const & v, float s)
+{
+ return fvec4SIMD(_mm_add_ps(v.Data, _mm_set1_ps(s)));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator+ (float s, fvec4SIMD const & v)
+{
+ return fvec4SIMD(_mm_add_ps(_mm_set1_ps(s), v.Data));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator+ (fvec4SIMD const & v1, fvec4SIMD const & v2)
+{
+ return fvec4SIMD(_mm_add_ps(v1.Data, v2.Data));
+}
+
+//operator-
+GLM_FUNC_QUALIFIER fvec4SIMD operator- (fvec4SIMD const & v, float s)
+{
+ return fvec4SIMD(_mm_sub_ps(v.Data, _mm_set1_ps(s)));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator- (float s, fvec4SIMD const & v)
+{
+ return fvec4SIMD(_mm_sub_ps(_mm_set1_ps(s), v.Data));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator- (fvec4SIMD const & v1, fvec4SIMD const & v2)
+{
+ return fvec4SIMD(_mm_sub_ps(v1.Data, v2.Data));
+}
+
+//operator*
+GLM_FUNC_QUALIFIER fvec4SIMD operator* (fvec4SIMD const & v, float s)
+{
+ __m128 par0 = v.Data;
+ __m128 par1 = _mm_set1_ps(s);
+ return fvec4SIMD(_mm_mul_ps(par0, par1));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator* (float s, fvec4SIMD const & v)
+{
+ __m128 par0 = _mm_set1_ps(s);
+ __m128 par1 = v.Data;
+ return fvec4SIMD(_mm_mul_ps(par0, par1));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator* (fvec4SIMD const & v1, fvec4SIMD const & v2)
+{
+ return fvec4SIMD(_mm_mul_ps(v1.Data, v2.Data));
+}
+
+//operator/
+GLM_FUNC_QUALIFIER fvec4SIMD operator/ (fvec4SIMD const & v, float s)
+{
+ __m128 par0 = v.Data;
+ __m128 par1 = _mm_set1_ps(s);
+ return fvec4SIMD(_mm_div_ps(par0, par1));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator/ (float s, fvec4SIMD const & v)
+{
+ __m128 par0 = _mm_set1_ps(s);
+ __m128 par1 = v.Data;
+ return fvec4SIMD(_mm_div_ps(par0, par1));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator/ (fvec4SIMD const & v1, fvec4SIMD const & v2)
+{
+ return fvec4SIMD(_mm_div_ps(v1.Data, v2.Data));
+}
+
+// Unary constant operators
+GLM_FUNC_QUALIFIER fvec4SIMD operator- (fvec4SIMD const & v)
+{
+ return fvec4SIMD(_mm_sub_ps(_mm_setzero_ps(), v.Data));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator++ (fvec4SIMD const & v, int)
+{
+ return fvec4SIMD(_mm_add_ps(v.Data, glm::detail::one));
+}
+
+GLM_FUNC_QUALIFIER fvec4SIMD operator-- (fvec4SIMD const & v, int)
+{
+ return fvec4SIMD(_mm_sub_ps(v.Data, glm::detail::one));
+}
+
+}//namespace detail
+
+GLM_FUNC_QUALIFIER vec4 vec4_cast
+(
+ detail::fvec4SIMD const & x
+)
+{
+ GLM_ALIGN(16) vec4 Result;
+ _mm_store_ps(&Result[0], x.Data);
+ return Result;
+}
+
+// Other possible implementation
+//float abs(float a)
+//{
+// return max(-a, a);
+//}
+GLM_FUNC_QUALIFIER detail::fvec4SIMD abs
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_abs_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD sign
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_sgn_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD floor
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_flr_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD trunc
+(
+ detail::fvec4SIMD const & x
+)
+{
+ //return x < 0 ? -floor(-x) : floor(x);
+
+ __m128 Flr0 = detail::sse_flr_ps(_mm_sub_ps(_mm_setzero_ps(), x.Data));
+ __m128 Sub0 = _mm_sub_ps(Flr0, x.Data);
+ __m128 Flr1 = detail::sse_flr_ps(x.Data);
+
+ __m128 Cmp0 = _mm_cmplt_ps(x.Data, glm::detail::zero);
+ __m128 Cmp1 = _mm_cmpnlt_ps(x.Data, glm::detail::zero);
+
+ __m128 And0 = _mm_and_ps(Sub0, Cmp0);
+ __m128 And1 = _mm_and_ps(Flr1, Cmp1);
+
+ return _mm_or_ps(And0, And1);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD round
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_rnd_ps(x.Data);
+}
+
+//GLM_FUNC_QUALIFIER detail::fvec4SIMD roundEven
+//(
+// detail::fvec4SIMD const & x
+//)
+//{
+
+//}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD ceil
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_ceil_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fract
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_frc_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD mod
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ return detail::sse_mod_ps(x.Data, y.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD mod
+(
+ detail::fvec4SIMD const & x,
+ float const & y
+)
+{
+ return detail::sse_mod_ps(x.Data, _mm_set1_ps(y));
+}
+
+//GLM_FUNC_QUALIFIER detail::fvec4SIMD modf
+//(
+// detail::fvec4SIMD const & x,
+// detail::fvec4SIMD & i
+//)
+//{
+
+//}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD min
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ return _mm_min_ps(x.Data, y.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD min
+(
+ detail::fvec4SIMD const & x,
+ float const & y
+)
+{
+ return _mm_min_ps(x.Data, _mm_set1_ps(y));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD max
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ return _mm_max_ps(x.Data, y.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD max
+(
+ detail::fvec4SIMD const & x,
+ float const & y
+)
+{
+ return _mm_max_ps(x.Data, _mm_set1_ps(y));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD clamp
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & minVal,
+ detail::fvec4SIMD const & maxVal
+)
+{
+ return detail::sse_clp_ps(x.Data, minVal.Data, maxVal.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD clamp
+(
+ detail::fvec4SIMD const & x,
+ float const & minVal,
+ float const & maxVal
+)
+{
+ return detail::sse_clp_ps(x.Data, _mm_set1_ps(minVal), _mm_set1_ps(maxVal));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD mix
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y,
+ detail::fvec4SIMD const & a
+)
+{
+ __m128 Sub0 = _mm_sub_ps(y.Data, x.Data);
+ __m128 Mul0 = _mm_mul_ps(a.Data, Sub0);
+ return _mm_add_ps(x.Data, Mul0);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD step
+(
+ detail::fvec4SIMD const & edge,
+ detail::fvec4SIMD const & x
+)
+{
+ __m128 cmp0 = _mm_cmpngt_ps(x.Data, edge.Data);
+ return _mm_max_ps(_mm_min_ps(cmp0, _mm_setzero_ps()), detail::one);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD step
+(
+ float const & edge,
+ detail::fvec4SIMD const & x
+)
+{
+ __m128 cmp0 = _mm_cmpngt_ps(x.Data, _mm_set1_ps(edge));
+ return _mm_max_ps(_mm_min_ps(cmp0, _mm_setzero_ps()), detail::one);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD smoothstep
+(
+ detail::fvec4SIMD const & edge0,
+ detail::fvec4SIMD const & edge1,
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_ssp_ps(edge0.Data, edge1.Data, x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD smoothstep
+(
+ float const & edge0,
+ float const & edge1,
+ detail::fvec4SIMD const & x
+)
+{
+ return detail::sse_ssp_ps(_mm_set1_ps(edge0), _mm_set1_ps(edge1), x.Data);
+}
+
+//GLM_FUNC_QUALIFIER bvec4 isnan(detail::fvec4SIMD const & x)
+//{
+
+//}
+
+//GLM_FUNC_QUALIFIER bvec4 isinf(detail::fvec4SIMD const & x)
+//{
+
+//}
+
+//GLM_FUNC_QUALIFIER detail::ivec4SIMD floatBitsToInt
+//(
+// detail::fvec4SIMD const & value
+//)
+//{
+
+//}
+
+//GLM_FUNC_QUALIFIER detail::fvec4SIMD intBitsToFloat
+//(
+// detail::ivec4SIMD const & value
+//)
+//{
+
+//}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fma
+(
+ detail::fvec4SIMD const & a,
+ detail::fvec4SIMD const & b,
+ detail::fvec4SIMD const & c
+)
+{
+ return _mm_add_ps(_mm_mul_ps(a.Data, b.Data), c.Data);
+}
+
+GLM_FUNC_QUALIFIER float length
+(
+ detail::fvec4SIMD const & x
+)
+{
+ detail::fvec4SIMD dot0 = detail::sse_dot_ss(x.Data, x.Data);
+ detail::fvec4SIMD sqt0 = sqrt(dot0);
+ float Result = 0;
+ _mm_store_ss(&Result, sqt0.Data);
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER float fastLength
+(
+ detail::fvec4SIMD const & x
+)
+{
+ detail::fvec4SIMD dot0 = detail::sse_dot_ss(x.Data, x.Data);
+ detail::fvec4SIMD sqt0 = fastSqrt(dot0);
+ float Result = 0;
+ _mm_store_ss(&Result, sqt0.Data);
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER float niceLength
+(
+ detail::fvec4SIMD const & x
+)
+{
+ detail::fvec4SIMD dot0 = detail::sse_dot_ss(x.Data, x.Data);
+ detail::fvec4SIMD sqt0 = niceSqrt(dot0);
+ float Result = 0;
+ _mm_store_ss(&Result, sqt0.Data);
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD length4
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return sqrt(dot4(x, x));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fastLength4
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return fastSqrt(dot4(x, x));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD niceLength4
+(
+ detail::fvec4SIMD const & x
+)
+{
+ return niceSqrt(dot4(x, x));
+}
+
+GLM_FUNC_QUALIFIER float distance
+(
+ detail::fvec4SIMD const & p0,
+ detail::fvec4SIMD const & p1
+)
+{
+ float Result = 0;
+ _mm_store_ss(&Result, detail::sse_dst_ps(p0.Data, p1.Data));
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD distance4
+(
+ detail::fvec4SIMD const & p0,
+ detail::fvec4SIMD const & p1
+)
+{
+ return detail::sse_dst_ps(p0.Data, p1.Data);
+}
+
+GLM_FUNC_QUALIFIER float dot
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ float Result = 0;
+ _mm_store_ss(&Result, detail::sse_dot_ss(x.Data, y.Data));
+ return Result;
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD dot4
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ return detail::sse_dot_ps(x.Data, y.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD cross
+(
+ detail::fvec4SIMD const & x,
+ detail::fvec4SIMD const & y
+)
+{
+ return detail::sse_xpd_ps(x.Data, y.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD normalize
+(
+ detail::fvec4SIMD const & x
+)
+{
+ __m128 dot0 = detail::sse_dot_ps(x.Data, x.Data);
+ __m128 isr0 = inversesqrt(detail::fvec4SIMD(dot0)).Data;
+ __m128 mul0 = _mm_mul_ps(x.Data, isr0);
+ return mul0;
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fastNormalize
+(
+ detail::fvec4SIMD const & x
+)
+{
+ __m128 dot0 = detail::sse_dot_ps(x.Data, x.Data);
+ __m128 isr0 = fastInversesqrt(dot0).Data;
+ __m128 mul0 = _mm_mul_ps(x.Data, isr0);
+ return mul0;
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD faceforward
+(
+ detail::fvec4SIMD const & N,
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & Nref
+)
+{
+ return detail::sse_ffd_ps(N.Data, I.Data, Nref.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD reflect
+(
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & N
+)
+{
+ return detail::sse_rfe_ps(I.Data, N.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD refract
+(
+ detail::fvec4SIMD const & I,
+ detail::fvec4SIMD const & N,
+ float const & eta
+)
+{
+ return detail::sse_rfa_ps(I.Data, N.Data, _mm_set1_ps(eta));
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD sqrt(detail::fvec4SIMD const & x)
+{
+ return _mm_mul_ps(inversesqrt(x).Data, x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD niceSqrt(detail::fvec4SIMD const & x)
+{
+ return _mm_sqrt_ps(x.Data);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fastSqrt(detail::fvec4SIMD const & x)
+{
+ return _mm_mul_ps(fastInversesqrt(x.Data).Data, x.Data);
+}
+
+// SSE scalar reciprocal sqrt using rsqrt op, plus one Newton-Rhaphson iteration
+// By Elan Ruskin, http://assemblyrequired.crashworks.org/
+GLM_FUNC_QUALIFIER detail::fvec4SIMD inversesqrt(detail::fvec4SIMD const & x)
+{
+ GLM_ALIGN(4) static const __m128 three = {3, 3, 3, 3}; // aligned consts for fast load
+ GLM_ALIGN(4) static const __m128 half = {0.5,0.5,0.5,0.5};
+
+ __m128 recip = _mm_rsqrt_ps(x.Data); // "estimate" opcode
+ __m128 halfrecip = _mm_mul_ps(half, recip);
+ __m128 threeminus_xrr = _mm_sub_ps(three, _mm_mul_ps(x.Data, _mm_mul_ps(recip, recip)));
+ return _mm_mul_ps(halfrecip, threeminus_xrr);
+}
+
+GLM_FUNC_QUALIFIER detail::fvec4SIMD fastInversesqrt(detail::fvec4SIMD const & x)
+{
+ return _mm_rsqrt_ps(x.Data);
+}
+
+}//namespace glm
diff --git a/external/include/glm/gtx/spline.hpp b/external/include/glm/gtx/spline.hpp
new file mode 100644
index 0000000..333a5bc
--- /dev/null
+++ b/external/include/glm/gtx/spline.hpp
@@ -0,0 +1,61 @@
+/// @ref gtx_spline
+/// @file glm/gtx/spline.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_spline GLM_GTX_spline
+/// @ingroup gtx
+///
+/// @brief Spline functions
+///
+/// <glm/gtx/spline.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/optimum_pow.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_spline extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_spline
+ /// @{
+
+ /// Return a point from a catmull rom curve.
+ /// @see gtx_spline extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType catmullRom(
+ genType const & v1,
+ genType const & v2,
+ genType const & v3,
+ genType const & v4,
+ typename genType::value_type const & s);
+
+ /// Return a point from a hermite curve.
+ /// @see gtx_spline extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType hermite(
+ genType const & v1,
+ genType const & t1,
+ genType const & v2,
+ genType const & t2,
+ typename genType::value_type const & s);
+
+ /// Return a point from a cubic curve.
+ /// @see gtx_spline extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType cubic(
+ genType const & v1,
+ genType const & v2,
+ genType const & v3,
+ genType const & v4,
+ typename genType::value_type const & s);
+
+ /// @}
+}//namespace glm
+
+#include "spline.inl"
diff --git a/external/include/glm/gtx/spline.inl b/external/include/glm/gtx/spline.inl
new file mode 100644
index 0000000..fcd3382
--- /dev/null
+++ b/external/include/glm/gtx/spline.inl
@@ -0,0 +1,63 @@
+/// @ref gtx_spline
+/// @file glm/gtx/spline.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType catmullRom
+ (
+ genType const & v1,
+ genType const & v2,
+ genType const & v3,
+ genType const & v4,
+ typename genType::value_type const & s
+ )
+ {
+ typename genType::value_type s1 = s;
+ typename genType::value_type s2 = pow2(s);
+ typename genType::value_type s3 = pow3(s);
+
+ typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
+ typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
+ typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
+ typename genType::value_type f4 = s3 - s2;
+
+ return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);
+
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType hermite
+ (
+ genType const & v1,
+ genType const & t1,
+ genType const & v2,
+ genType const & t2,
+ typename genType::value_type const & s
+ )
+ {
+ typename genType::value_type s1 = s;
+ typename genType::value_type s2 = pow2(s);
+ typename genType::value_type s3 = pow3(s);
+
+ typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
+ typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
+ typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
+ typename genType::value_type f4 = s3 - s2;
+
+ return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType cubic
+ (
+ genType const & v1,
+ genType const & v2,
+ genType const & v3,
+ genType const & v4,
+ typename genType::value_type const & s
+ )
+ {
+ return ((v1 * s + v2) * s + v3) * s + v4;
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/std_based_type.hpp b/external/include/glm/gtx/std_based_type.hpp
new file mode 100644
index 0000000..ea1791b
--- /dev/null
+++ b/external/include/glm/gtx/std_based_type.hpp
@@ -0,0 +1,63 @@
+/// @ref gtx_std_based_type
+/// @file glm/gtx/std_based_type.hpp
+///
+/// @see core (dependence)
+/// @see gtx_extented_min_max (dependence)
+///
+/// @defgroup gtx_std_based_type GLM_GTX_std_based_type
+/// @ingroup gtx
+///
+/// @brief Adds vector types based on STL value types.
+/// <glm/gtx/std_based_type.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include <cstdlib>
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_std_based_type extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_std_based_type
+ /// @{
+
+ /// Vector type based of one std::size_t component.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec1<std::size_t, defaultp> size1;
+
+ /// Vector type based of two std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec2<std::size_t, defaultp> size2;
+
+ /// Vector type based of three std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec3<std::size_t, defaultp> size3;
+
+ /// Vector type based of four std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec4<std::size_t, defaultp> size4;
+
+ /// Vector type based of one std::size_t component.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec1<std::size_t, defaultp> size1_t;
+
+ /// Vector type based of two std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec2<std::size_t, defaultp> size2_t;
+
+ /// Vector type based of three std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec3<std::size_t, defaultp> size3_t;
+
+ /// Vector type based of four std::size_t components.
+ /// @see GLM_GTX_std_based_type
+ typedef tvec4<std::size_t, defaultp> size4_t;
+
+ /// @}
+}//namespace glm
+
+#include "std_based_type.inl"
diff --git a/external/include/glm/gtx/std_based_type.inl b/external/include/glm/gtx/std_based_type.inl
new file mode 100644
index 0000000..ca431a3
--- /dev/null
+++ b/external/include/glm/gtx/std_based_type.inl
@@ -0,0 +1,7 @@
+/// @ref gtx_std_based_type
+/// @file glm/gtx/std_based_type.inl
+
+namespace glm
+{
+
+}
diff --git a/external/include/glm/gtx/string_cast.hpp b/external/include/glm/gtx/string_cast.hpp
new file mode 100644
index 0000000..d2b9fc6
--- /dev/null
+++ b/external/include/glm/gtx/string_cast.hpp
@@ -0,0 +1,47 @@
+/// @ref gtx_string_cast
+/// @file glm/gtx/string_cast.hpp
+///
+/// @see core (dependence)
+/// @see gtc_half_float (dependence)
+/// @see gtx_integer (dependence)
+/// @see gtx_quaternion (dependence)
+///
+/// @defgroup gtx_string_cast GLM_GTX_string_cast
+/// @ingroup gtx
+///
+/// @brief Setup strings for GLM type values
+///
+/// <glm/gtx/string_cast.hpp> need to be included to use these functionalities.
+/// This extension is not supported with CUDA
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/type_precision.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+#include <string>
+
+#if(GLM_COMPILER & GLM_COMPILER_CUDA)
+# error "GLM_GTX_string_cast is not supported on CUDA compiler"
+#endif
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_string_cast extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_string_cast
+ /// @{
+
+ /// Create a string from a GLM vector or matrix typed variable.
+ /// @see gtx_string_cast extension.
+ template <template <typename, precision> class matType, typename T, precision P>
+ GLM_FUNC_DECL std::string to_string(matType<T, P> const & x);
+
+ /// @}
+}//namespace glm
+
+#include "string_cast.inl"
diff --git a/external/include/glm/gtx/string_cast.inl b/external/include/glm/gtx/string_cast.inl
new file mode 100644
index 0000000..19f136b
--- /dev/null
+++ b/external/include/glm/gtx/string_cast.inl
@@ -0,0 +1,458 @@
+/// @ref gtx_string_cast
+/// @file glm/gtx/string_cast.inl
+
+#include <cstdarg>
+#include <cstdio>
+
+namespace glm{
+namespace detail
+{
+ GLM_FUNC_QUALIFIER std::string format(const char* msg, ...)
+ {
+ std::size_t const STRING_BUFFER(4096);
+ char text[STRING_BUFFER];
+ va_list list;
+
+ if(msg == 0)
+ return std::string();
+
+ va_start(list, msg);
+# if(GLM_COMPILER & GLM_COMPILER_VC)
+ vsprintf_s(text, STRING_BUFFER, msg, list);
+# else//
+ vsprintf(text, msg, list);
+# endif//
+ va_end(list);
+
+ return std::string(text);
+ }
+
+ static const char* LabelTrue = "true";
+ static const char* LabelFalse = "false";
+
+ template <typename T, bool isFloat = false>
+ struct literal
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%d";};
+ };
+
+ template <typename T>
+ struct literal<T, true>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%f";};
+ };
+
+# if GLM_MODEL == GLM_MODEL_32 && GLM_COMPILER && GLM_COMPILER_VC
+ template <>
+ struct literal<uint64_t, false>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%lld";};
+ };
+
+ template <>
+ struct literal<int64_t, false>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "%lld";};
+ };
+# endif//GLM_MODEL == GLM_MODEL_32 && GLM_COMPILER && GLM_COMPILER_VC
+
+ template <typename T>
+ struct prefix{};
+
+ template <>
+ struct prefix<float>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "";};
+ };
+
+ template <>
+ struct prefix<double>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "d";};
+ };
+
+ template <>
+ struct prefix<bool>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "b";};
+ };
+
+ template <>
+ struct prefix<uint8_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u8";};
+ };
+
+ template <>
+ struct prefix<int8_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i8";};
+ };
+
+ template <>
+ struct prefix<uint16_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u16";};
+ };
+
+ template <>
+ struct prefix<int16_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i16";};
+ };
+
+ template <>
+ struct prefix<uint32_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u";};
+ };
+
+ template <>
+ struct prefix<int32_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i";};
+ };
+
+ template <>
+ struct prefix<uint64_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "u64";};
+ };
+
+ template <>
+ struct prefix<int64_t>
+ {
+ GLM_FUNC_QUALIFIER static char const * value() {return "i64";};
+ };
+
+ template <template <typename, precision> class matType, typename T, precision P>
+ struct compute_to_string
+ {};
+
+ template <precision P>
+ struct compute_to_string<tvec1, bool, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec1<bool, P> const & x)
+ {
+ return detail::format("bvec1(%s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template <precision P>
+ struct compute_to_string<tvec2, bool, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec2<bool, P> const & x)
+ {
+ return detail::format("bvec2(%s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template <precision P>
+ struct compute_to_string<tvec3, bool, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec3<bool, P> const & x)
+ {
+ return detail::format("bvec3(%s, %s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse,
+ x[2] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template <precision P>
+ struct compute_to_string<tvec4, bool, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec4<bool, P> const & x)
+ {
+ return detail::format("bvec4(%s, %s, %s, %s)",
+ x[0] ? detail::LabelTrue : detail::LabelFalse,
+ x[1] ? detail::LabelTrue : detail::LabelFalse,
+ x[2] ? detail::LabelTrue : detail::LabelFalse,
+ x[3] ? detail::LabelTrue : detail::LabelFalse);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tvec1, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec1<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec1(%s)",
+ PrefixStr,
+ LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x[0]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tvec2, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec2<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec2(%s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x[0], x[1]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tvec3, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec3<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec3(%s, %s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x[0], x[1], x[2]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tvec4, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tvec4<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%svec4(%s, %s, %s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x[0], x[1], x[2], x[3]);
+ }
+ };
+
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat2x2, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat2x2<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x2((%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1],
+ x[1][0], x[1][1]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat2x3, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat2x3<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x3((%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2],
+ x[1][0], x[1][1], x[1][2]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat2x4, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat2x4<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat2x4((%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2], x[0][3],
+ x[1][0], x[1][1], x[1][2], x[1][3]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat3x2, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat3x2<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x2((%s, %s), (%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1],
+ x[1][0], x[1][1],
+ x[2][0], x[2][1]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat3x3, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat3x3<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x3((%s, %s, %s), (%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2],
+ x[1][0], x[1][1], x[1][2],
+ x[2][0], x[2][1], x[2][2]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat3x4, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat3x4<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat3x4((%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2], x[0][3],
+ x[1][0], x[1][1], x[1][2], x[1][3],
+ x[2][0], x[2][1], x[2][2], x[2][3]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat4x2, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat4x2<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x2((%s, %s), (%s, %s), (%s, %s), (%s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1],
+ x[1][0], x[1][1],
+ x[2][0], x[2][1],
+ x[3][0], x[3][1]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat4x3, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat4x3<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x3((%s, %s, %s), (%s, %s, %s), (%s, %s, %s), (%s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2],
+ x[1][0], x[1][1], x[1][2],
+ x[2][0], x[2][1], x[2][2],
+ x[3][0], x[3][1], x[3][2]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tmat4x4, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tmat4x4<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%smat4x4((%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(),
+ x[0][0], x[0][1], x[0][2], x[0][3],
+ x[1][0], x[1][1], x[1][2], x[1][3],
+ x[2][0], x[2][1], x[2][2], x[2][3],
+ x[3][0], x[3][1], x[3][2], x[3][3]);
+ }
+ };
+
+
+ template <typename T, precision P>
+ struct compute_to_string<tquat, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tquat<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%squat(%s, %s, %s, %s)",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x[0], x[1], x[2], x[3]);
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_to_string<tdualquat, T, P>
+ {
+ GLM_FUNC_QUALIFIER static std::string call(tdualquat<T, P> const & x)
+ {
+ char const * PrefixStr = prefix<T>::value();
+ char const * LiteralStr = literal<T, std::numeric_limits<T>::is_iec559>::value();
+ std::string FormatStr(detail::format("%sdualquat((%s, %s, %s, %s), (%s, %s, %s, %s))",
+ PrefixStr,
+ LiteralStr, LiteralStr, LiteralStr, LiteralStr));
+
+ return detail::format(FormatStr.c_str(), x.real[0], x.real[1], x.real[2], x.real[3], x.dual[0], x.dual[1], x.dual[2], x.dual[3]);
+ }
+ };
+
+}//namespace detail
+
+template <template <typename, precision> class matType, typename T, precision P>
+GLM_FUNC_QUALIFIER std::string to_string(matType<T, P> const & x)
+{
+ return detail::compute_to_string<matType, T, P>::call(x);
+}
+
+}//namespace glm
diff --git a/external/include/glm/gtx/transform.hpp b/external/include/glm/gtx/transform.hpp
new file mode 100644
index 0000000..365748b
--- /dev/null
+++ b/external/include/glm/gtx/transform.hpp
@@ -0,0 +1,56 @@
+/// @ref gtx_transform
+/// @file glm/gtx/transform.hpp
+///
+/// @see core (dependence)
+/// @see gtc_matrix_transform (dependence)
+/// @see gtx_transform
+/// @see gtx_transform2
+///
+/// @defgroup gtx_transform GLM_GTX_transform
+/// @ingroup gtx
+///
+/// @brief Add transformation matrices
+///
+/// <glm/gtx/transform.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/matrix_transform.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_transform extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_transform
+ /// @{
+
+ /// Transforms a matrix with a translation 4 * 4 matrix created from 3 scalars.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> translate(
+ tvec3<T, P> const & v);
+
+ /// Builds a rotation 4 * 4 matrix created from an axis of 3 scalars and an angle expressed in radians.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> rotate(
+ T angle,
+ tvec3<T, P> const & v);
+
+ /// Transforms a matrix with a scale 4 * 4 matrix created from a vector of 3 components.
+ /// @see gtc_matrix_transform
+ /// @see gtx_transform
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> scale(
+ tvec3<T, P> const & v);
+
+ /// @}
+}// namespace glm
+
+#include "transform.inl"
diff --git a/external/include/glm/gtx/transform.inl b/external/include/glm/gtx/transform.inl
new file mode 100644
index 0000000..516d866
--- /dev/null
+++ b/external/include/glm/gtx/transform.inl
@@ -0,0 +1,24 @@
+/// @ref gtx_transform
+/// @file glm/gtx/transform.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> translate(tvec3<T, P> const & v)
+ {
+ return translate(tmat4x4<T, P>(static_cast<T>(1)), v);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> rotate(T angle, tvec3<T, P> const & v)
+ {
+ return rotate(tmat4x4<T, P>(static_cast<T>(1)), angle, v);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> scale(tvec3<T, P> const & v)
+ {
+ return scale(tmat4x4<T, P>(static_cast<T>(1)), v);
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/transform2.hpp b/external/include/glm/gtx/transform2.hpp
new file mode 100644
index 0000000..bf5fbc9
--- /dev/null
+++ b/external/include/glm/gtx/transform2.hpp
@@ -0,0 +1,107 @@
+/// @ref gtx_transform2
+/// @file glm/gtx/transform2.hpp
+///
+/// @see core (dependence)
+/// @see gtx_transform (dependence)
+///
+/// @defgroup gtx_transform2 GLM_GTX_transform2
+/// @ingroup gtx
+///
+/// @brief Add extra transformation matrices
+///
+/// <glm/gtx/transform2.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtx/transform.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_transform2 extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_transform2
+ /// @{
+
+ //! Transforms a matrix with a shearing on X axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> shearX2D(
+ tmat3x3<T, P> const & m,
+ T y);
+
+ //! Transforms a matrix with a shearing on Y axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> shearY2D(
+ tmat3x3<T, P> const & m,
+ T x);
+
+ //! Transforms a matrix with a shearing on X axis
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> shearX3D(
+ const tmat4x4<T, P> & m,
+ T y,
+ T z);
+
+ //! Transforms a matrix with a shearing on Y axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> shearY3D(
+ const tmat4x4<T, P> & m,
+ T x,
+ T z);
+
+ //! Transforms a matrix with a shearing on Z axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> shearZ3D(
+ const tmat4x4<T, P> & m,
+ T x,
+ T y);
+
+ //template <typename T> GLM_FUNC_QUALIFIER tmat4x4<T, P> shear(const tmat4x4<T, P> & m, shearPlane, planePoint, angle)
+ // Identity + tan(angle) * cross(Normal, OnPlaneVector) 0
+ // - dot(PointOnPlane, normal) * OnPlaneVector 1
+
+ // Reflect functions seem to don't work
+ //template <typename T> tmat3x3<T, P> reflect2D(const tmat3x3<T, P> & m, const tvec3<T, P>& normal){return reflect2DGTX(m, normal);} //!< \brief Build a reflection matrix (from GLM_GTX_transform2 extension)
+ //template <typename T> tmat4x4<T, P> reflect3D(const tmat4x4<T, P> & m, const tvec3<T, P>& normal){return reflect3DGTX(m, normal);} //!< \brief Build a reflection matrix (from GLM_GTX_transform2 extension)
+
+ //! Build planar projection matrix along normal axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat3x3<T, P> proj2D(
+ const tmat3x3<T, P> & m,
+ const tvec3<T, P>& normal);
+
+ //! Build planar projection matrix along normal axis.
+ //! From GLM_GTX_transform2 extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL tmat4x4<T, P> proj3D(
+ const tmat4x4<T, P> & m,
+ const tvec3<T, P>& normal);
+
+ //! Build a scale bias matrix.
+ //! From GLM_GTX_transform2 extension.
+ template <typename valType, precision P>
+ GLM_FUNC_DECL tmat4x4<valType, P> scaleBias(
+ valType scale,
+ valType bias);
+
+ //! Build a scale bias matrix.
+ //! From GLM_GTX_transform2 extension.
+ template <typename valType, precision P>
+ GLM_FUNC_DECL tmat4x4<valType, P> scaleBias(
+ tmat4x4<valType, P> const & m,
+ valType scale,
+ valType bias);
+
+ /// @}
+}// namespace glm
+
+#include "transform2.inl"
diff --git a/external/include/glm/gtx/transform2.inl b/external/include/glm/gtx/transform2.inl
new file mode 100644
index 0000000..6e0ab31
--- /dev/null
+++ b/external/include/glm/gtx/transform2.inl
@@ -0,0 +1,126 @@
+/// @ref gtx_transform2
+/// @file glm/gtx/transform2.inl
+
+namespace glm
+{
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearX2D(tmat3x3<T, P> const& m, T s)
+ {
+ tmat3x3<T, P> r(1);
+ r[1][0] = s;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> shearY2D(tmat3x3<T, P> const& m, T s)
+ {
+ tmat3x3<T, P> r(1);
+ r[0][1] = s;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> shearX3D(tmat4x4<T, P> const& m, T s, T t)
+ {
+ tmat4x4<T, P> r(1);
+ r[0][1] = s;
+ r[0][2] = t;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> shearY3D(tmat4x4<T, P> const& m, T s, T t)
+ {
+ tmat4x4<T, P> r(1);
+ r[1][0] = s;
+ r[1][2] = t;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> shearZ3D(tmat4x4<T, P> const& m, T s, T t)
+ {
+ tmat4x4<T, P> r(1);
+ r[2][0] = s;
+ r[2][1] = t;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> reflect2D(tmat3x3<T, P> const& m, tvec3<T, P> const& normal)
+ {
+ tmat3x3<T, P> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - static_cast<T>(2) * normal.x * normal.x;
+ r[0][1] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][0] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - static_cast<T>(2) * normal.y * normal.y;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> reflect3D(tmat4x4<T, P> const& m, tvec3<T, P> const& normal)
+ {
+ tmat4x4<T, P> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - static_cast<T>(2) * normal.x * normal.x;
+ r[0][1] = -static_cast<T>(2) * normal.x * normal.y;
+ r[0][2] = -static_cast<T>(2) * normal.x * normal.z;
+
+ r[1][0] = -static_cast<T>(2) * normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - static_cast<T>(2) * normal.y * normal.y;
+ r[1][2] = -static_cast<T>(2) * normal.y * normal.z;
+
+ r[2][0] = -static_cast<T>(2) * normal.x * normal.z;
+ r[2][1] = -static_cast<T>(2) * normal.y * normal.z;
+ r[2][2] = static_cast<T>(1) - static_cast<T>(2) * normal.z * normal.z;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat3x3<T, P> proj2D(
+ const tmat3x3<T, P>& m,
+ const tvec3<T, P>& normal)
+ {
+ tmat3x3<T, P> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - normal.x * normal.x;
+ r[0][1] = - normal.x * normal.y;
+ r[1][0] = - normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - normal.y * normal.y;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> proj3D(
+ const tmat4x4<T, P>& m,
+ const tvec3<T, P>& normal)
+ {
+ tmat4x4<T, P> r(static_cast<T>(1));
+ r[0][0] = static_cast<T>(1) - normal.x * normal.x;
+ r[0][1] = - normal.x * normal.y;
+ r[0][2] = - normal.x * normal.z;
+ r[1][0] = - normal.x * normal.y;
+ r[1][1] = static_cast<T>(1) - normal.y * normal.y;
+ r[1][2] = - normal.y * normal.z;
+ r[2][0] = - normal.x * normal.z;
+ r[2][1] = - normal.y * normal.z;
+ r[2][2] = static_cast<T>(1) - normal.z * normal.z;
+ return m * r;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> scaleBias(T scale, T bias)
+ {
+ tmat4x4<T, P> result;
+ result[3] = tvec4<T, P>(tvec3<T, P>(bias), static_cast<T>(1));
+ result[0][0] = scale;
+ result[1][1] = scale;
+ result[2][2] = scale;
+ return result;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tmat4x4<T, P> scaleBias(tmat4x4<T, P> const& m, T scale, T bias)
+ {
+ return m * scaleBias(scale, bias);
+ }
+}//namespace glm
+
diff --git a/external/include/glm/gtx/type_aligned.hpp b/external/include/glm/gtx/type_aligned.hpp
new file mode 100644
index 0000000..8962a6f
--- /dev/null
+++ b/external/include/glm/gtx/type_aligned.hpp
@@ -0,0 +1,966 @@
+/// @ref gtx_type_aligned
+/// @file glm/gtx/type_aligned.hpp
+///
+/// @see core (dependence)
+/// @see gtc_quaternion (dependence)
+///
+/// @defgroup gtx_type_aligned GLM_GTX_type_aligned
+/// @ingroup gtx
+///
+/// @brief Defines aligned types.
+///
+/// @ref core_precision defines aligned types.
+///
+/// <glm/gtx/type_aligned.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../gtc/type_precision.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_type_aligned extension included")
+#endif
+
+namespace glm
+{
+ ///////////////////////////
+ // Signed int vector types
+
+ /// @addtogroup gtx_type_aligned
+ /// @{
+
+ /// Low precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int8, aligned_lowp_int8, 1);
+
+ /// Low precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int16, aligned_lowp_int16, 2);
+
+ /// Low precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int32, aligned_lowp_int32, 4);
+
+ /// Low precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int64, aligned_lowp_int64, 8);
+
+
+ /// Low precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int8_t, aligned_lowp_int8_t, 1);
+
+ /// Low precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int16_t, aligned_lowp_int16_t, 2);
+
+ /// Low precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int32_t, aligned_lowp_int32_t, 4);
+
+ /// Low precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_int64_t, aligned_lowp_int64_t, 8);
+
+
+ /// Low precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i8, aligned_lowp_i8, 1);
+
+ /// Low precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i16, aligned_lowp_i16, 2);
+
+ /// Low precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i32, aligned_lowp_i32, 4);
+
+ /// Low precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_i64, aligned_lowp_i64, 8);
+
+
+ /// Medium precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int8, aligned_mediump_int8, 1);
+
+ /// Medium precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int16, aligned_mediump_int16, 2);
+
+ /// Medium precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int32, aligned_mediump_int32, 4);
+
+ /// Medium precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int64, aligned_mediump_int64, 8);
+
+
+ /// Medium precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int8_t, aligned_mediump_int8_t, 1);
+
+ /// Medium precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int16_t, aligned_mediump_int16_t, 2);
+
+ /// Medium precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int32_t, aligned_mediump_int32_t, 4);
+
+ /// Medium precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_int64_t, aligned_mediump_int64_t, 8);
+
+
+ /// Medium precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i8, aligned_mediump_i8, 1);
+
+ /// Medium precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i16, aligned_mediump_i16, 2);
+
+ /// Medium precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i32, aligned_mediump_i32, 4);
+
+ /// Medium precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_i64, aligned_mediump_i64, 8);
+
+
+ /// High precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int8, aligned_highp_int8, 1);
+
+ /// High precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int16, aligned_highp_int16, 2);
+
+ /// High precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int32, aligned_highp_int32, 4);
+
+ /// High precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int64, aligned_highp_int64, 8);
+
+
+ /// High precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int8_t, aligned_highp_int8_t, 1);
+
+ /// High precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int16_t, aligned_highp_int16_t, 2);
+
+ /// High precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int32_t, aligned_highp_int32_t, 4);
+
+ /// High precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_int64_t, aligned_highp_int64_t, 8);
+
+
+ /// High precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i8, aligned_highp_i8, 1);
+
+ /// High precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i16, aligned_highp_i16, 2);
+
+ /// High precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i32, aligned_highp_i32, 4);
+
+ /// High precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_i64, aligned_highp_i64, 8);
+
+
+ /// Default precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int8, aligned_int8, 1);
+
+ /// Default precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int16, aligned_int16, 2);
+
+ /// Default precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int32, aligned_int32, 4);
+
+ /// Default precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int64, aligned_int64, 8);
+
+
+ /// Default precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int8_t, aligned_int8_t, 1);
+
+ /// Default precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int16_t, aligned_int16_t, 2);
+
+ /// Default precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int32_t, aligned_int32_t, 4);
+
+ /// Default precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(int64_t, aligned_int64_t, 8);
+
+
+ /// Default precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8, aligned_i8, 1);
+
+ /// Default precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16, aligned_i16, 2);
+
+ /// Default precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32, aligned_i32, 4);
+
+ /// Default precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64, aligned_i64, 8);
+
+
+ /// Default precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec1, aligned_ivec1, 4);
+
+ /// Default precision 32 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec2, aligned_ivec2, 8);
+
+ /// Default precision 32 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec3, aligned_ivec3, 16);
+
+ /// Default precision 32 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(ivec4, aligned_ivec4, 16);
+
+
+ /// Default precision 8 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec1, aligned_i8vec1, 1);
+
+ /// Default precision 8 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec2, aligned_i8vec2, 2);
+
+ /// Default precision 8 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec3, aligned_i8vec3, 4);
+
+ /// Default precision 8 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i8vec4, aligned_i8vec4, 4);
+
+
+ /// Default precision 16 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec1, aligned_i16vec1, 2);
+
+ /// Default precision 16 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec2, aligned_i16vec2, 4);
+
+ /// Default precision 16 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec3, aligned_i16vec3, 8);
+
+ /// Default precision 16 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i16vec4, aligned_i16vec4, 8);
+
+
+ /// Default precision 32 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec1, aligned_i32vec1, 4);
+
+ /// Default precision 32 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec2, aligned_i32vec2, 8);
+
+ /// Default precision 32 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec3, aligned_i32vec3, 16);
+
+ /// Default precision 32 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i32vec4, aligned_i32vec4, 16);
+
+
+ /// Default precision 64 bit signed integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec1, aligned_i64vec1, 8);
+
+ /// Default precision 64 bit signed integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec2, aligned_i64vec2, 16);
+
+ /// Default precision 64 bit signed integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec3, aligned_i64vec3, 32);
+
+ /// Default precision 64 bit signed integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(i64vec4, aligned_i64vec4, 32);
+
+
+ /////////////////////////////
+ // Unsigned int vector types
+
+ /// Low precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint8, aligned_lowp_uint8, 1);
+
+ /// Low precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint16, aligned_lowp_uint16, 2);
+
+ /// Low precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint32, aligned_lowp_uint32, 4);
+
+ /// Low precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint64, aligned_lowp_uint64, 8);
+
+
+ /// Low precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint8_t, aligned_lowp_uint8_t, 1);
+
+ /// Low precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint16_t, aligned_lowp_uint16_t, 2);
+
+ /// Low precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint32_t, aligned_lowp_uint32_t, 4);
+
+ /// Low precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_uint64_t, aligned_lowp_uint64_t, 8);
+
+
+ /// Low precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u8, aligned_lowp_u8, 1);
+
+ /// Low precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u16, aligned_lowp_u16, 2);
+
+ /// Low precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u32, aligned_lowp_u32, 4);
+
+ /// Low precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(lowp_u64, aligned_lowp_u64, 8);
+
+
+ /// Medium precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint8, aligned_mediump_uint8, 1);
+
+ /// Medium precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint16, aligned_mediump_uint16, 2);
+
+ /// Medium precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint32, aligned_mediump_uint32, 4);
+
+ /// Medium precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint64, aligned_mediump_uint64, 8);
+
+
+ /// Medium precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint8_t, aligned_mediump_uint8_t, 1);
+
+ /// Medium precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint16_t, aligned_mediump_uint16_t, 2);
+
+ /// Medium precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint32_t, aligned_mediump_uint32_t, 4);
+
+ /// Medium precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_uint64_t, aligned_mediump_uint64_t, 8);
+
+
+ /// Medium precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u8, aligned_mediump_u8, 1);
+
+ /// Medium precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u16, aligned_mediump_u16, 2);
+
+ /// Medium precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u32, aligned_mediump_u32, 4);
+
+ /// Medium precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mediump_u64, aligned_mediump_u64, 8);
+
+
+ /// High precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint8, aligned_highp_uint8, 1);
+
+ /// High precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint16, aligned_highp_uint16, 2);
+
+ /// High precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint32, aligned_highp_uint32, 4);
+
+ /// High precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint64, aligned_highp_uint64, 8);
+
+
+ /// High precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint8_t, aligned_highp_uint8_t, 1);
+
+ /// High precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint16_t, aligned_highp_uint16_t, 2);
+
+ /// High precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint32_t, aligned_highp_uint32_t, 4);
+
+ /// High precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_uint64_t, aligned_highp_uint64_t, 8);
+
+
+ /// High precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u8, aligned_highp_u8, 1);
+
+ /// High precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u16, aligned_highp_u16, 2);
+
+ /// High precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u32, aligned_highp_u32, 4);
+
+ /// High precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(highp_u64, aligned_highp_u64, 8);
+
+
+ /// Default precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint8, aligned_uint8, 1);
+
+ /// Default precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint16, aligned_uint16, 2);
+
+ /// Default precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint32, aligned_uint32, 4);
+
+ /// Default precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint64, aligned_uint64, 8);
+
+
+ /// Default precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint8_t, aligned_uint8_t, 1);
+
+ /// Default precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint16_t, aligned_uint16_t, 2);
+
+ /// Default precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint32_t, aligned_uint32_t, 4);
+
+ /// Default precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uint64_t, aligned_uint64_t, 8);
+
+
+ /// Default precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8, aligned_u8, 1);
+
+ /// Default precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16, aligned_u16, 2);
+
+ /// Default precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32, aligned_u32, 4);
+
+ /// Default precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64, aligned_u64, 8);
+
+
+ /// Default precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec1, aligned_uvec1, 4);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec2, aligned_uvec2, 8);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec3, aligned_uvec3, 16);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(uvec4, aligned_uvec4, 16);
+
+
+ /// Default precision 8 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec1, aligned_u8vec1, 1);
+
+ /// Default precision 8 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec2, aligned_u8vec2, 2);
+
+ /// Default precision 8 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec3, aligned_u8vec3, 4);
+
+ /// Default precision 8 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u8vec4, aligned_u8vec4, 4);
+
+
+ /// Default precision 16 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec1, aligned_u16vec1, 2);
+
+ /// Default precision 16 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec2, aligned_u16vec2, 4);
+
+ /// Default precision 16 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec3, aligned_u16vec3, 8);
+
+ /// Default precision 16 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u16vec4, aligned_u16vec4, 8);
+
+
+ /// Default precision 32 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec1, aligned_u32vec1, 4);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec2, aligned_u32vec2, 8);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec3, aligned_u32vec3, 16);
+
+ /// Default precision 32 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u32vec4, aligned_u32vec4, 16);
+
+
+ /// Default precision 64 bit unsigned integer aligned scalar type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec1, aligned_u64vec1, 8);
+
+ /// Default precision 64 bit unsigned integer aligned vector of 2 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec2, aligned_u64vec2, 16);
+
+ /// Default precision 64 bit unsigned integer aligned vector of 3 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec3, aligned_u64vec3, 32);
+
+ /// Default precision 64 bit unsigned integer aligned vector of 4 components type.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(u64vec4, aligned_u64vec4, 32);
+
+
+ //////////////////////
+ // Float vector types
+
+ /// 32 bit single-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32, aligned_float32, 4);
+
+ /// 64 bit double-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64, aligned_float64, 8);
+
+
+ /// 32 bit single-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32_t, aligned_float32_t, 4);
+
+ /// 64 bit double-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64_t, aligned_float64_t, 8);
+
+
+ /// 32 bit single-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float32, aligned_f32, 4);
+
+ /// 64 bit double-precision floating-point aligned scalar.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(float64, aligned_f64, 8);
+
+
+ /// Single-precision floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec1, aligned_vec1, 4);
+
+ /// Single-precision floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec2, aligned_vec2, 8);
+
+ /// Single-precision floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec3, aligned_vec3, 16);
+
+ /// Single-precision floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(vec4, aligned_vec4, 16);
+
+
+ /// Single-precision floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec1, aligned_fvec1, 4);
+
+ /// Single-precision floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec2, aligned_fvec2, 8);
+
+ /// Single-precision floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec3, aligned_fvec3, 16);
+
+ /// Single-precision floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fvec4, aligned_fvec4, 16);
+
+
+ /// Single-precision floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec1, aligned_f32vec1, 4);
+
+ /// Single-precision floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec2, aligned_f32vec2, 8);
+
+ /// Single-precision floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec3, aligned_f32vec3, 16);
+
+ /// Single-precision floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32vec4, aligned_f32vec4, 16);
+
+
+ /// Double-precision floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec1, aligned_dvec1, 8);
+
+ /// Double-precision floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec2, aligned_dvec2, 16);
+
+ /// Double-precision floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec3, aligned_dvec3, 32);
+
+ /// Double-precision floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dvec4, aligned_dvec4, 32);
+
+
+ /// Double-precision floating-point aligned vector of 1 component.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec1, aligned_f64vec1, 8);
+
+ /// Double-precision floating-point aligned vector of 2 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec2, aligned_f64vec2, 16);
+
+ /// Double-precision floating-point aligned vector of 3 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec3, aligned_f64vec3, 32);
+
+ /// Double-precision floating-point aligned vector of 4 components.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64vec4, aligned_f64vec4, 32);
+
+
+ //////////////////////
+ // Float matrix types
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1<f32> mat1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat2, aligned_mat2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat3, aligned_mat3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat4, aligned_mat4, 16);
+
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32> mat1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat2x2, aligned_mat2x2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat3x3, aligned_mat3x3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(mat4x4, aligned_mat4x4, 16);
+
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32> fmat1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x2, aligned_fmat2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x3, aligned_fmat3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x4, aligned_fmat4, 16);
+
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f32 fmat1x1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x2, aligned_fmat2x2, 16);
+
+ /// Single-precision floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x3, aligned_fmat2x3, 16);
+
+ /// Single-precision floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat2x4, aligned_fmat2x4, 16);
+
+ /// Single-precision floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x2, aligned_fmat3x2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x3, aligned_fmat3x3, 16);
+
+ /// Single-precision floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat3x4, aligned_fmat3x4, 16);
+
+ /// Single-precision floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x2, aligned_fmat4x2, 16);
+
+ /// Single-precision floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x3, aligned_fmat4x3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fmat4x4, aligned_fmat4x4, 16);
+
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f32, defaultp> f32mat1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x2, aligned_f32mat2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x3, aligned_f32mat3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x4, aligned_f32mat4, 16);
+
+
+ /// Single-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f32 f32mat1x1;
+
+ /// Single-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x2, aligned_f32mat2x2, 16);
+
+ /// Single-precision floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x3, aligned_f32mat2x3, 16);
+
+ /// Single-precision floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat2x4, aligned_f32mat2x4, 16);
+
+ /// Single-precision floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x2, aligned_f32mat3x2, 16);
+
+ /// Single-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x3, aligned_f32mat3x3, 16);
+
+ /// Single-precision floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat3x4, aligned_f32mat3x4, 16);
+
+ /// Single-precision floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x2, aligned_f32mat4x2, 16);
+
+ /// Single-precision floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x3, aligned_f32mat4x3, 16);
+
+ /// Single-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32mat4x4, aligned_f32mat4x4, 16);
+
+
+ /// Double-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef detail::tmat1x1<f64, defaultp> f64mat1;
+
+ /// Double-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x2, aligned_f64mat2, 32);
+
+ /// Double-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x3, aligned_f64mat3, 32);
+
+ /// Double-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x4, aligned_f64mat4, 32);
+
+
+ /// Double-precision floating-point aligned 1x1 matrix.
+ /// @see gtx_type_aligned
+ //typedef f64 f64mat1x1;
+
+ /// Double-precision floating-point aligned 2x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x2, aligned_f64mat2x2, 32);
+
+ /// Double-precision floating-point aligned 2x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x3, aligned_f64mat2x3, 32);
+
+ /// Double-precision floating-point aligned 2x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat2x4, aligned_f64mat2x4, 32);
+
+ /// Double-precision floating-point aligned 3x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x2, aligned_f64mat3x2, 32);
+
+ /// Double-precision floating-point aligned 3x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x3, aligned_f64mat3x3, 32);
+
+ /// Double-precision floating-point aligned 3x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat3x4, aligned_f64mat3x4, 32);
+
+ /// Double-precision floating-point aligned 4x2 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x2, aligned_f64mat4x2, 32);
+
+ /// Double-precision floating-point aligned 4x3 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x3, aligned_f64mat4x3, 32);
+
+ /// Double-precision floating-point aligned 4x4 matrix.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64mat4x4, aligned_f64mat4x4, 32);
+
+
+ //////////////////////////
+ // Quaternion types
+
+ /// Single-precision floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(quat, aligned_quat, 16);
+
+ /// Single-precision floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(fquat, aligned_fquat, 16);
+
+ /// Double-precision floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(dquat, aligned_dquat, 32);
+
+ /// Single-precision floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f32quat, aligned_f32quat, 16);
+
+ /// Double-precision floating-point aligned quaternion.
+ /// @see gtx_type_aligned
+ GLM_ALIGNED_TYPEDEF(f64quat, aligned_f64quat, 32);
+
+ /// @}
+}//namespace glm
+
+#include "type_aligned.inl"
diff --git a/external/include/glm/gtx/type_aligned.inl b/external/include/glm/gtx/type_aligned.inl
new file mode 100644
index 0000000..83202df
--- /dev/null
+++ b/external/include/glm/gtx/type_aligned.inl
@@ -0,0 +1,7 @@
+/// @ref gtc_type_aligned
+/// @file glm/gtc/type_aligned.inl
+
+namespace glm
+{
+
+}
diff --git a/external/include/glm/gtx/type_trait.hpp b/external/include/glm/gtx/type_trait.hpp
new file mode 100644
index 0000000..0207a06
--- /dev/null
+++ b/external/include/glm/gtx/type_trait.hpp
@@ -0,0 +1,252 @@
+/// @ref gtx_type_trait
+/// @file glm/gtx/type_trait.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_type_trait GLM_GTX_type_trait
+/// @ingroup gtx
+///
+/// @brief Defines traits for each type.
+///
+/// <glm/gtx/type_trait.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../detail/type_vec2.hpp"
+#include "../detail/type_vec3.hpp"
+#include "../detail/type_vec4.hpp"
+#include "../detail/type_mat2x2.hpp"
+#include "../detail/type_mat2x3.hpp"
+#include "../detail/type_mat2x4.hpp"
+#include "../detail/type_mat3x2.hpp"
+#include "../detail/type_mat3x3.hpp"
+#include "../detail/type_mat3x4.hpp"
+#include "../detail/type_mat4x2.hpp"
+#include "../detail/type_mat4x3.hpp"
+#include "../detail/type_mat4x4.hpp"
+#include "../gtc/quaternion.hpp"
+#include "../gtx/dual_quaternion.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_type_trait extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_type_trait
+ /// @{
+
+ template <template <typename, precision> class genType, typename T, precision P>
+ struct type
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ static length_t const components = 0;
+ static length_t const cols = 0;
+ static length_t const rows = 0;
+ };
+
+ template <typename T, precision P>
+ struct type<tvec1, T, P>
+ {
+ static bool const is_vec = true;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 1
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tvec2, T, P>
+ {
+ static bool const is_vec = true;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 2
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tvec3, T, P>
+ {
+ static bool const is_vec = true;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 3
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tvec4, T, P>
+ {
+ static bool const is_vec = true;
+ static bool const is_mat = false;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 4
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat2x2, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 2,
+ cols = 2,
+ rows = 2
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat2x3, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 2,
+ cols = 2,
+ rows = 3
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat2x4, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 2,
+ cols = 2,
+ rows = 4
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat3x2, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 3,
+ cols = 3,
+ rows = 2
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat3x3, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 3,
+ cols = 3,
+ rows = 3
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat3x4, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 3,
+ cols = 3,
+ rows = 4
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat4x2, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 4,
+ cols = 4,
+ rows = 2
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat4x3, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 4,
+ cols = 4,
+ rows = 3
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tmat4x4, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = true;
+ static bool const is_quat = false;
+ enum
+ {
+ components = 4,
+ cols = 4,
+ rows = 4
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tquat, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = true;
+ enum
+ {
+ components = 4
+ };
+ };
+
+ template <typename T, precision P>
+ struct type<tdualquat, T, P>
+ {
+ static bool const is_vec = false;
+ static bool const is_mat = false;
+ static bool const is_quat = true;
+ enum
+ {
+ components = 8
+ };
+ };
+
+ /// @}
+}//namespace glm
+
+#include "type_trait.inl"
diff --git a/external/include/glm/gtx/type_trait.inl b/external/include/glm/gtx/type_trait.inl
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/external/include/glm/gtx/type_trait.inl
diff --git a/external/include/glm/gtx/vector_angle.hpp b/external/include/glm/gtx/vector_angle.hpp
new file mode 100644
index 0000000..d52d3f8
--- /dev/null
+++ b/external/include/glm/gtx/vector_angle.hpp
@@ -0,0 +1,60 @@
+/// @ref gtx_vector_angle
+/// @file glm/gtx/vector_angle.hpp
+///
+/// @see core (dependence)
+/// @see gtx_quaternion (dependence)
+/// @see gtx_epsilon (dependence)
+///
+/// @defgroup gtx_vector_angle GLM_GTX_vector_angle
+/// @ingroup gtx
+///
+/// @brief Compute angle between vectors
+///
+/// <glm/gtx/vector_angle.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/epsilon.hpp"
+#include "../gtx/quaternion.hpp"
+#include "../gtx/rotate_vector.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_vector_angle extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_vector_angle
+ /// @{
+
+ //! Returns the absolute angle between two vectors.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template <typename vecType>
+ GLM_FUNC_DECL typename vecType::value_type angle(
+ vecType const & x,
+ vecType const & y);
+
+ //! Returns the oriented angle between two 2d vectors.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T orientedAngle(
+ tvec2<T, P> const & x,
+ tvec2<T, P> const & y);
+
+ //! Returns the oriented angle between two 3d vectors based from a reference axis.
+ //! Parameters need to be normalized.
+ /// @see gtx_vector_angle extension.
+ template <typename T, precision P>
+ GLM_FUNC_DECL T orientedAngle(
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ tvec3<T, P> const & ref);
+
+ /// @}
+}// namespace glm
+
+#include "vector_angle.inl"
diff --git a/external/include/glm/gtx/vector_angle.inl b/external/include/glm/gtx/vector_angle.inl
new file mode 100644
index 0000000..05c3028
--- /dev/null
+++ b/external/include/glm/gtx/vector_angle.inl
@@ -0,0 +1,58 @@
+/// @ref gtx_vector_angle
+/// @file glm/gtx/vector_angle.inl
+
+namespace glm
+{
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType angle
+ (
+ genType const & x,
+ genType const & y
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'angle' only accept floating-point inputs");
+ return acos(clamp(dot(x, y), genType(-1), genType(1)));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T angle
+ (
+ vecType<T, P> const & x,
+ vecType<T, P> const & y
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'angle' only accept floating-point inputs");
+ return acos(clamp(dot(x, y), T(-1), T(1)));
+ }
+
+ //! \todo epsilon is hard coded to 0.01
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T orientedAngle
+ (
+ tvec2<T, P> const & x,
+ tvec2<T, P> const & y
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'orientedAngle' only accept floating-point inputs");
+ T const Angle(acos(clamp(dot(x, y), T(-1), T(1))));
+
+ if(all(epsilonEqual(y, glm::rotate(x, Angle), T(0.0001))))
+ return Angle;
+ else
+ return -Angle;
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER T orientedAngle
+ (
+ tvec3<T, P> const & x,
+ tvec3<T, P> const & y,
+ tvec3<T, P> const & ref
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'orientedAngle' only accept floating-point inputs");
+
+ T const Angle(acos(clamp(dot(x, y), T(-1), T(1))));
+ return mix(Angle, -Angle, dot(ref, cross(x, y)) < T(0));
+ }
+}//namespace glm
diff --git a/external/include/glm/gtx/vector_query.hpp b/external/include/glm/gtx/vector_query.hpp
new file mode 100644
index 0000000..2c0d022
--- /dev/null
+++ b/external/include/glm/gtx/vector_query.hpp
@@ -0,0 +1,62 @@
+/// @ref gtx_vector_query
+/// @file glm/gtx/vector_query.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_vector_query GLM_GTX_vector_query
+/// @ingroup gtx
+///
+/// @brief Query informations of vector types
+///
+/// <glm/gtx/vector_query.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include <cfloat>
+#include <limits>
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_vector_query extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_vector_query
+ /// @{
+
+ //! Check whether two vectors are collinears.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL bool areCollinear(vecType<T, P> const & v0, vecType<T, P> const & v1, T const & epsilon);
+
+ //! Check whether two vectors are orthogonals.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL bool areOrthogonal(vecType<T, P> const & v0, vecType<T, P> const & v1, T const & epsilon);
+
+ //! Check whether a vector is normalized.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL bool isNormalized(vecType<T, P> const & v, T const & epsilon);
+
+ //! Check whether a vector is null.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL bool isNull(vecType<T, P> const & v, T const & epsilon);
+
+ //! Check whether a each component of a vector is null.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL vecType<bool, P> isCompNull(vecType<T, P> const & v, T const & epsilon);
+
+ //! Check whether two vectors are orthonormal.
+ /// @see gtx_vector_query extensions.
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_DECL bool areOrthonormal(vecType<T, P> const & v0, vecType<T, P> const & v1, T const & epsilon);
+
+ /// @}
+}// namespace glm
+
+#include "vector_query.inl"
diff --git a/external/include/glm/gtx/vector_query.inl b/external/include/glm/gtx/vector_query.inl
new file mode 100644
index 0000000..85ea5e5
--- /dev/null
+++ b/external/include/glm/gtx/vector_query.inl
@@ -0,0 +1,193 @@
+/// @ref gtx_vector_query
+/// @file glm/gtx/vector_query.inl
+
+#include <cassert>
+
+namespace glm{
+namespace detail
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ struct compute_areCollinear{};
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec2>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec2<T, P> const & v0, tvec2<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(tvec3<T, P>(v0, static_cast<T>(0)), tvec3<T, P>(v1, static_cast<T>(0)))) < epsilon;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec3>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec3<T, P> const & v0, tvec3<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(v0, v1)) < epsilon;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_areCollinear<T, P, tvec4>
+ {
+ GLM_FUNC_QUALIFIER static bool call(tvec4<T, P> const & v0, tvec4<T, P> const & v1, T const & epsilon)
+ {
+ return length(cross(tvec3<T, P>(v0), tvec3<T, P>(v1))) < epsilon;
+ }
+ };
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ struct compute_isCompNull{};
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec2>
+ {
+ GLM_FUNC_QUALIFIER static tvec2<bool, P> call(tvec2<T, P> const & v, T const & epsilon)
+ {
+ return tvec2<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon));
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec3>
+ {
+ GLM_FUNC_QUALIFIER static tvec3<bool, P> call(tvec3<T, P> const & v, T const & epsilon)
+ {
+ return tvec3<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon));
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_isCompNull<T, P, tvec4>
+ {
+ GLM_FUNC_QUALIFIER static tvec4<bool, P> call(tvec4<T, P> const & v, T const & epsilon)
+ {
+ return tvec4<bool, P>(
+ (abs(v.x) < epsilon),
+ (abs(v.y) < epsilon),
+ (abs(v.z) < epsilon),
+ (abs(v.w) < epsilon));
+ }
+ };
+
+}//namespace detail
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areCollinear
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs");
+
+ return detail::compute_areCollinear<T, P, vecType>::call(v0, v1, epsilon);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areOrthogonal
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs");
+
+ return abs(dot(v0, v1)) <= max(
+ static_cast<T>(1),
+ length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool isNormalized
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs");
+
+ return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool isNull
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs");
+
+ return length(v) <= epsilon;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<bool, P> isCompNull
+ (
+ vecType<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs");
+
+ return detail::compute_isCompNull<T, P, vecType>::call(v, epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec2<bool, P> isCompNull
+ (
+ tvec2<T, P> const & v,
+ T const & epsilon)
+ {
+ return tvec2<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<bool, P> isCompNull
+ (
+ tvec3<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ return tvec3<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon);
+ }
+
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec4<bool, P> isCompNull
+ (
+ tvec4<T, P> const & v,
+ T const & epsilon
+ )
+ {
+ return tvec4<bool, P>(
+ abs(v.x) < epsilon,
+ abs(v.y) < epsilon,
+ abs(v.z) < epsilon,
+ abs(v.w) < epsilon);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER bool areOrthonormal
+ (
+ vecType<T, P> const & v0,
+ vecType<T, P> const & v1,
+ T const & epsilon
+ )
+ {
+ return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
+ }
+
+}//namespace glm
diff --git a/external/include/glm/gtx/wrap.hpp b/external/include/glm/gtx/wrap.hpp
new file mode 100644
index 0000000..0060073
--- /dev/null
+++ b/external/include/glm/gtx/wrap.hpp
@@ -0,0 +1,51 @@
+/// @ref gtx_wrap
+/// @file glm/gtx/wrap.hpp
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_wrap GLM_GTX_wrap
+/// @ingroup gtx
+///
+/// @brief Wrapping mode of texture coordinates.
+///
+/// <glm/gtx/wrap.hpp> need to be included to use these functionalities.
+
+#pragma once
+
+// Dependency:
+#include "../glm.hpp"
+#include "../gtc/vec1.hpp"
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+# pragma message("GLM: GLM_GTX_wrap extension included")
+#endif
+
+namespace glm
+{
+ /// @addtogroup gtx_wrap
+ /// @{
+
+ /// Simulate GL_CLAMP OpenGL wrap mode
+ /// @see gtx_wrap extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType clamp(genType const& Texcoord);
+
+ /// Simulate GL_REPEAT OpenGL wrap mode
+ /// @see gtx_wrap extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType repeat(genType const& Texcoord);
+
+ /// Simulate GL_MIRRORED_REPEAT OpenGL wrap mode
+ /// @see gtx_wrap extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType mirrorClamp(genType const& Texcoord);
+
+ /// Simulate GL_MIRROR_REPEAT OpenGL wrap mode
+ /// @see gtx_wrap extension.
+ template <typename genType>
+ GLM_FUNC_DECL genType mirrorRepeat(genType const& Texcoord);
+
+ /// @}
+}// namespace glm
+
+#include "wrap.inl"
diff --git a/external/include/glm/gtx/wrap.inl b/external/include/glm/gtx/wrap.inl
new file mode 100644
index 0000000..941a803
--- /dev/null
+++ b/external/include/glm/gtx/wrap.inl
@@ -0,0 +1,58 @@
+/// @ref gtx_wrap
+/// @file glm/gtx/wrap.inl
+
+namespace glm
+{
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> clamp(vecType<T, P> const& Texcoord)
+ {
+ return glm::clamp(Texcoord, vecType<T, P>(0), vecType<T, P>(1));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType clamp(genType const & Texcoord)
+ {
+ return clamp(tvec1<genType, defaultp>(Texcoord)).x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> repeat(vecType<T, P> const& Texcoord)
+ {
+ return glm::fract(Texcoord);
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType repeat(genType const & Texcoord)
+ {
+ return repeat(tvec1<genType, defaultp>(Texcoord)).x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> mirrorClamp(vecType<T, P> const& Texcoord)
+ {
+ return glm::fract(glm::abs(Texcoord));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType mirrorClamp(genType const & Texcoord)
+ {
+ return mirrorClamp(tvec1<genType, defaultp>(Texcoord)).x;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> mirrorRepeat(vecType<T, P> const& Texcoord)
+ {
+ vecType<T, P> const Abs = glm::abs(Texcoord);
+ vecType<T, P> const Clamp = glm::mod(glm::floor(Abs), vecType<T, P>(2));
+ vecType<T, P> const Floor = glm::floor(Abs);
+ vecType<T, P> const Rest = Abs - Floor;
+ vecType<T, P> const Mirror = Clamp + Rest;
+ return mix(Rest, vecType<T, P>(1) - Rest, glm::greaterThanEqual(Mirror, vecType<T, P>(1)));
+ }
+
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType mirrorRepeat(genType const& Texcoord)
+ {
+ return mirrorRepeat(tvec1<genType, defaultp>(Texcoord)).x;
+ }
+}//namespace glm