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-rw-r--r--source/LinearInterpolation.cpp251
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diff --git a/source/LinearInterpolation.cpp b/source/LinearInterpolation.cpp
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-
-// LinearInterpolation.cpp
-
-// Implements methods for linear interpolation over 1D, 2D and 3D arrays
-
-#include "Globals.h"
-#include "LinearInterpolation.h"
-
-
-
-
-
-/*
-// Perform an automatic test upon program start (use breakpoints to debug):
-
-extern void Debug3DNoise(float * a_Noise, int a_SizeX, int a_SizeY, int a_SizeZ, const AString & a_FileNameBase);
-
-class Test
-{
-public:
- Test(void)
- {
- // DoTest1();
- DoTest2();
- }
-
-
- void DoTest1(void)
- {
- float In[8] = {0, 1, 2, 3, 1, 2, 2, 2};
- float Out[3 * 3 * 3];
- LinearInterpolate1DArray(In, 4, Out, 9);
- LinearInterpolate2DArray(In, 2, 2, Out, 3, 3);
- LinearInterpolate3DArray(In, 2, 2, 2, Out, 3, 3, 3);
- LOGD("Out[0]: %f", Out[0]);
- }
-
-
- void DoTest2(void)
- {
- float In[3 * 3 * 3];
- for (int i = 0; i < ARRAYCOUNT(In); i++)
- {
- In[i] = (float)(i % 5);
- }
- float Out[15 * 16 * 17];
- LinearInterpolate3DArray(In, 3, 3, 3, Out, 15, 16, 17);
- Debug3DNoise(Out, 15, 16, 17, "LERP test");
- }
-} gTest;
-//*/
-
-
-
-
-
-// Puts linearly interpolated values from one array into another array. 1D version
-void LinearInterpolate1DArray(
- float * a_Src,
- int a_SrcSizeX,
- float * a_Dst,
- int a_DstSizeX
-)
-{
- a_Dst[0] = a_Src[0];
- int DstSizeXm1 = a_DstSizeX - 1;
- int SrcSizeXm1 = a_SrcSizeX - 1;
- float fDstSizeXm1 = (float)DstSizeXm1;
- float fSrcSizeXm1 = (float)SrcSizeXm1;
- for (int x = 1; x < DstSizeXm1; x++)
- {
- int SrcIdx = x * SrcSizeXm1 / DstSizeXm1;
- float ValLo = a_Src[SrcIdx];
- float ValHi = a_Src[SrcIdx + 1];
- float Ratio = (float)x * fSrcSizeXm1 / fDstSizeXm1 - SrcIdx;
- a_Dst[x] = ValLo + (ValHi - ValLo) * Ratio;
- }
- a_Dst[a_DstSizeX - 1] = a_Src[a_SrcSizeX - 1];
-}
-
-
-
-
-
-// Puts linearly interpolated values from one array into another array. 2D version
-void LinearInterpolate2DArray(
- float * a_Src,
- int a_SrcSizeX, int a_SrcSizeY,
- float * a_Dst,
- int a_DstSizeX, int a_DstSizeY
-)
-{
- ASSERT(a_DstSizeX > 0);
- ASSERT(a_DstSizeX < MAX_INTERPOL_SIZEX);
- ASSERT(a_DstSizeY > 0);
- ASSERT(a_DstSizeY < MAX_INTERPOL_SIZEY);
-
- // Calculate interpolation ratios and src indices along each axis:
- float RatioX[MAX_INTERPOL_SIZEX];
- float RatioY[MAX_INTERPOL_SIZEY];
- int SrcIdxX[MAX_INTERPOL_SIZEX];
- int SrcIdxY[MAX_INTERPOL_SIZEY];
- for (int x = 1; x < a_DstSizeX; x++)
- {
- SrcIdxX[x] = x * (a_SrcSizeX - 1) / (a_DstSizeX - 1);
- RatioX[x] = ((float)(x * (a_SrcSizeX - 1)) / (a_DstSizeX - 1)) - SrcIdxX[x];
- }
- for (int y = 1; y < a_DstSizeY; y++)
- {
- SrcIdxY[y] = y * (a_SrcSizeY - 1) / (a_DstSizeY - 1);
- RatioY[y] = ((float)(y * (a_SrcSizeY - 1)) / (a_DstSizeY - 1)) - SrcIdxY[y];
- }
-
- // Special values at the ends. Notice especially the last indices being (size - 2) with ratio set to 1, to avoid index overflow:
- SrcIdxX[0] = 0;
- RatioX[0] = 0;
- SrcIdxY[0] = 0;
- RatioY[0] = 0;
- SrcIdxX[a_DstSizeX - 1] = a_SrcSizeX - 2;
- RatioX[a_DstSizeX - 1] = 1;
- SrcIdxY[a_DstSizeY - 1] = a_SrcSizeY - 2;
- RatioY[a_DstSizeY - 1] = 1;
-
- // Output all the dst array values using the indices and ratios:
- int idx = 0;
- for (int y = 0; y < a_DstSizeY; y++)
- {
- int idxLoY = a_SrcSizeX * SrcIdxY[y];
- int idxHiY = a_SrcSizeX * (SrcIdxY[y] + 1);
- float ry = RatioY[y];
- for (int x = 0; x < a_DstSizeX; x++)
- {
- // The four src corners of the current "cell":
- float LoXLoY = a_Src[SrcIdxX[x] + idxLoY];
- float HiXLoY = a_Src[SrcIdxX[x] + 1 + idxLoY];
- float LoXHiY = a_Src[SrcIdxX[x] + idxHiY];
- float HiXHiY = a_Src[SrcIdxX[x] + 1 + idxHiY];
-
- // Linear interpolation along the X axis:
- float InterpXLoY = LoXLoY + (HiXLoY - LoXLoY) * RatioX[x];
- float InterpXHiY = LoXHiY + (HiXHiY - LoXHiY) * RatioX[x];
-
- // Linear interpolation along the Y axis:
- a_Dst[idx] = InterpXLoY + (InterpXHiY - InterpXLoY) * ry;
- idx += 1;
- }
- }
-}
-
-
-
-
-
-/// Puts linearly interpolated values from one array into another array. 3D version
-void LinearInterpolate3DArray(
- float * a_Src,
- int a_SrcSizeX, int a_SrcSizeY, int a_SrcSizeZ,
- float * a_Dst,
- int a_DstSizeX, int a_DstSizeY, int a_DstSizeZ
-)
-{
- ASSERT(a_DstSizeX > 0);
- ASSERT(a_DstSizeX < MAX_INTERPOL_SIZEX);
- ASSERT(a_DstSizeY > 0);
- ASSERT(a_DstSizeY < MAX_INTERPOL_SIZEY);
- ASSERT(a_DstSizeZ > 0);
- ASSERT(a_DstSizeZ < MAX_INTERPOL_SIZEZ);
-
- // Calculate interpolation ratios and src indices along each axis:
- float RatioX[MAX_INTERPOL_SIZEX];
- float RatioY[MAX_INTERPOL_SIZEY];
- float RatioZ[MAX_INTERPOL_SIZEZ];
- int SrcIdxX[MAX_INTERPOL_SIZEX];
- int SrcIdxY[MAX_INTERPOL_SIZEY];
- int SrcIdxZ[MAX_INTERPOL_SIZEZ];
- for (int x = 1; x < a_DstSizeX; x++)
- {
- SrcIdxX[x] = x * (a_SrcSizeX - 1) / (a_DstSizeX - 1);
- RatioX[x] = ((float)(x * (a_SrcSizeX - 1)) / (a_DstSizeX - 1)) - SrcIdxX[x];
- }
- for (int y = 1; y < a_DstSizeY; y++)
- {
- SrcIdxY[y] = y * (a_SrcSizeY - 1) / (a_DstSizeY - 1);
- RatioY[y] = ((float)(y * (a_SrcSizeY - 1)) / (a_DstSizeY - 1)) - SrcIdxY[y];
- }
- for (int z = 1; z < a_DstSizeZ; z++)
- {
- SrcIdxZ[z] = z * (a_SrcSizeZ - 1) / (a_DstSizeZ - 1);
- RatioZ[z] = ((float)(z * (a_SrcSizeZ - 1)) / (a_DstSizeZ - 1)) - SrcIdxZ[z];
- }
-
- // Special values at the ends. Notice especially the last indices being (size - 2) with ratio set to 1, to avoid index overflow:
- SrcIdxX[0] = 0;
- RatioX[0] = 0;
- SrcIdxY[0] = 0;
- RatioY[0] = 0;
- SrcIdxZ[0] = 0;
- RatioZ[0] = 0;
- SrcIdxX[a_DstSizeX - 1] = a_SrcSizeX - 2;
- RatioX[a_DstSizeX - 1] = 1;
- SrcIdxY[a_DstSizeY - 1] = a_SrcSizeY - 2;
- RatioY[a_DstSizeY - 1] = 1;
- SrcIdxZ[a_DstSizeZ - 1] = a_SrcSizeZ - 2;
- RatioZ[a_DstSizeZ - 1] = 1;
-
- // Output all the dst array values using the indices and ratios:
- int idx = 0;
- for (int z = 0; z < a_DstSizeZ; z++)
- {
- int idxLoZ = a_SrcSizeX * a_SrcSizeY * SrcIdxZ[z];
- int idxHiZ = a_SrcSizeX * a_SrcSizeY * (SrcIdxZ[z] + 1);
- float rz = RatioZ[z];
- for (int y = 0; y < a_DstSizeY; y++)
- {
- int idxLoY = a_SrcSizeX * SrcIdxY[y];
- int idxHiY = a_SrcSizeX * (SrcIdxY[y] + 1);
- float ry = RatioY[y];
- for (int x = 0; x < a_DstSizeX; x++)
- {
- // The eight src corners of the current "cell":
- float LoXLoYLoZ = a_Src[SrcIdxX[x] + idxLoY + idxLoZ];
- float HiXLoYLoZ = a_Src[SrcIdxX[x] + 1 + idxLoY + idxLoZ];
- float LoXHiYLoZ = a_Src[SrcIdxX[x] + idxHiY + idxLoZ];
- float HiXHiYLoZ = a_Src[SrcIdxX[x] + 1 + idxHiY + idxLoZ];
- float LoXLoYHiZ = a_Src[SrcIdxX[x] + idxLoY + idxHiZ];
- float HiXLoYHiZ = a_Src[SrcIdxX[x] + 1 + idxLoY + idxHiZ];
- float LoXHiYHiZ = a_Src[SrcIdxX[x] + idxHiY + idxHiZ];
- float HiXHiYHiZ = a_Src[SrcIdxX[x] + 1 + idxHiY + idxHiZ];
-
- // Linear interpolation along the Z axis:
- float LoXLoYInZ = LoXLoYLoZ + (LoXLoYHiZ - LoXLoYLoZ) * rz;
- float HiXLoYInZ = HiXLoYLoZ + (HiXLoYHiZ - HiXLoYLoZ) * rz;
- float LoXHiYInZ = LoXHiYLoZ + (LoXHiYHiZ - LoXHiYLoZ) * rz;
- float HiXHiYInZ = HiXHiYLoZ + (HiXHiYHiZ - HiXHiYLoZ) * rz;
-
- // Linear interpolation along the Y axis:
- float LoXInYInZ = LoXLoYInZ + (LoXHiYInZ - LoXLoYInZ) * ry;
- float HiXInYInZ = HiXLoYInZ + (HiXHiYInZ - HiXLoYInZ) * ry;
-
- // Linear interpolation along the X axis:
- a_Dst[idx] = LoXInYInZ + (HiXInYInZ - LoXInYInZ) * RatioX[x];
- idx += 1;
- } // for x
- } // for y
- } // for z
-}
-
-
-
-
-
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