summaryrefslogtreecommitdiffstats
path: root/vendor/web-token/jwt-util-ecc/Curve.php
diff options
context:
space:
mode:
authorAnton Luka Šijanec <anton@sijanec.eu>2024-05-27 13:08:29 +0200
committerAnton Luka Šijanec <anton@sijanec.eu>2024-05-27 13:08:29 +0200
commit75160b12821f7f4299cce7f0b69c83c1502ae071 (patch)
tree27e25e4ccaef45f0c58b22831164050d1af1d4db /vendor/web-token/jwt-util-ecc/Curve.php
parentprvi-commit (diff)
download1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar.gz
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar.bz2
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar.lz
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar.xz
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.tar.zst
1ka-75160b12821f7f4299cce7f0b69c83c1502ae071.zip
Diffstat (limited to 'vendor/web-token/jwt-util-ecc/Curve.php')
-rw-r--r--vendor/web-token/jwt-util-ecc/Curve.php630
1 files changed, 315 insertions, 315 deletions
diff --git a/vendor/web-token/jwt-util-ecc/Curve.php b/vendor/web-token/jwt-util-ecc/Curve.php
index 8c7d07d..d688598 100644
--- a/vendor/web-token/jwt-util-ecc/Curve.php
+++ b/vendor/web-token/jwt-util-ecc/Curve.php
@@ -1,315 +1,315 @@
-<?php
-
-declare(strict_types=1);
-
-/*
- * The MIT License (MIT)
- *
- * Copyright (c) 2014-2018 Spomky-Labs
- *
- * This software may be modified and distributed under the terms
- * of the MIT license. See the LICENSE file for details.
- */
-
-namespace Jose\Component\Core\Util\Ecc;
-
-/**
- * @internal
- */
-class Curve
-{
- /**
- * Elliptic curve over the field of integers modulo a prime.
- *
- * @var \GMP
- */
- private $a;
-
- /**
- * @var \GMP
- */
- private $b;
-
- /**
- * @var \GMP
- */
- private $prime;
-
- /**
- * Binary length of keys associated with these curve parameters.
- *
- * @var int
- */
- private $size;
-
- /**
- * @var Point
- */
- private $generator;
-
- public function __construct(int $size, \GMP $prime, \GMP $a, \GMP $b, Point $generator)
- {
- $this->size = $size;
- $this->prime = $prime;
- $this->a = $a;
- $this->b = $b;
- $this->generator = $generator;
- }
-
- public function getA(): \GMP
- {
- return $this->a;
- }
-
- public function getB(): \GMP
- {
- return $this->b;
- }
-
- public function getPrime(): \GMP
- {
- return $this->prime;
- }
-
- public function getSize(): int
- {
- return $this->size;
- }
-
- public function getPoint(\GMP $x, \GMP $y, ?\GMP $order = null): Point
- {
- if (!$this->contains($x, $y)) {
- throw new \RuntimeException('Curve '.$this->__toString().' does not contain point ('.Math::toString($x).', '.Math::toString($y).')');
- }
- $point = Point::create($x, $y, $order);
- if (!\is_null($order)) {
- $mul = $this->mul($point, $order);
- if (!$mul->isInfinity()) {
- throw new \RuntimeException('SELF * ORDER MUST EQUAL INFINITY. ('.(string) $mul.' found instead)');
- }
- }
-
- return $point;
- }
-
- public function getPublicKeyFrom(\GMP $x, \GMP $y): PublicKey
- {
- $zero = \gmp_init(0, 10);
- if (Math::cmp($x, $zero) < 0 || Math::cmp($this->generator->getOrder(), $x) <= 0 || Math::cmp($y, $zero) < 0 || Math::cmp($this->generator->getOrder(), $y) <= 0) {
- throw new \RuntimeException('Generator point has x and y out of range.');
- }
- $point = $this->getPoint($x, $y);
-
- return PublicKey::create($point);
- }
-
- public function contains(\GMP $x, \GMP $y): bool
- {
- $eq_zero = Math::equals(
- ModularArithmetic::sub(
- Math::pow($y, 2),
- Math::add(
- Math::add(
- Math::pow($x, 3),
- Math::mul($this->getA(), $x)
- ),
- $this->getB()
- ),
- $this->getPrime()
- ),
- \gmp_init(0, 10)
- );
-
- return $eq_zero;
- }
-
- public function add(Point $one, Point $two): Point
- {
- if ($two->isInfinity()) {
- return clone $one;
- }
-
- if ($one->isInfinity()) {
- return clone $two;
- }
-
- if (Math::equals($two->getX(), $one->getX())) {
- if (Math::equals($two->getY(), $one->getY())) {
- return $this->getDouble($one);
- } else {
- return Point::infinity();
- }
- }
-
- $slope = ModularArithmetic::div(
- Math::sub($two->getY(), $one->getY()),
- Math::sub($two->getX(), $one->getX()),
- $this->getPrime()
- );
-
- $xR = ModularArithmetic::sub(
- Math::sub(Math::pow($slope, 2), $one->getX()),
- $two->getX(),
- $this->getPrime()
- );
-
- $yR = ModularArithmetic::sub(
- Math::mul($slope, Math::sub($one->getX(), $xR)),
- $one->getY(),
- $this->getPrime()
- );
-
- return $this->getPoint($xR, $yR, $one->getOrder());
- }
-
- public function mul(Point $one, \GMP $n): Point
- {
- if ($one->isInfinity()) {
- return Point::infinity();
- }
-
- /** @var \GMP $zero */
- $zero = \gmp_init(0, 10);
- if (Math::cmp($one->getOrder(), $zero) > 0) {
- $n = Math::mod($n, $one->getOrder());
- }
-
- if (Math::equals($n, $zero)) {
- return Point::infinity();
- }
-
- /** @var Point[] $r */
- $r = [
- Point::infinity(),
- clone $one,
- ];
-
- $k = $this->getSize();
- $n = \str_pad(Math::baseConvert(Math::toString($n), 10, 2), $k, '0', STR_PAD_LEFT);
-
- for ($i = 0; $i < $k; ++$i) {
- $j = $n[$i];
- Point::cswap($r[0], $r[1], $j ^ 1);
- $r[0] = $this->add($r[0], $r[1]);
- $r[1] = $this->getDouble($r[1]);
- Point::cswap($r[0], $r[1], $j ^ 1);
- }
-
- $this->validate($r[0]);
-
- return $r[0];
- }
-
- /**
- * @param Curve $other
- */
- public function cmp(self $other): int
- {
- $equal = Math::equals($this->getA(), $other->getA());
- $equal &= Math::equals($this->getB(), $other->getB());
- $equal &= Math::equals($this->getPrime(), $other->getPrime());
-
- return $equal ? 0 : 1;
- }
-
- /**
- * @param Curve $other
- */
- public function equals(self $other): bool
- {
- return 0 === $this->cmp($other);
- }
-
- public function __toString(): string
- {
- return 'curve('.Math::toString($this->getA()).', '.Math::toString($this->getB()).', '.Math::toString($this->getPrime()).')';
- }
-
- private function validate(Point $point)
- {
- if (!$point->isInfinity() && !$this->contains($point->getX(), $point->getY())) {
- throw new \RuntimeException('Invalid point');
- }
- }
-
- public function getDouble(Point $point): Point
- {
- if ($point->isInfinity()) {
- return Point::infinity();
- }
-
- $a = $this->getA();
- $threeX2 = Math::mul(\gmp_init(3, 10), Math::pow($point->getX(), 2));
-
- $tangent = ModularArithmetic::div(
- Math::add($threeX2, $a),
- Math::mul(\gmp_init(2, 10), $point->getY()),
- $this->getPrime()
- );
-
- $x3 = ModularArithmetic::sub(
- Math::pow($tangent, 2),
- Math::mul(\gmp_init(2, 10), $point->getX()),
- $this->getPrime()
- );
-
- $y3 = ModularArithmetic::sub(
- Math::mul($tangent, Math::sub($point->getX(), $x3)),
- $point->getY(),
- $this->getPrime()
- );
-
- return $this->getPoint($x3, $y3, $point->getOrder());
- }
-
- public function createPrivateKey(): PrivateKey
- {
- return PrivateKey::create($this->generate());
- }
-
- public function createPublicKey(PrivateKey $privateKey): PublicKey
- {
- $point = $this->mul($this->generator, $privateKey->getSecret());
-
- return PublicKey::create($point);
- }
-
- private function generate(): \GMP
- {
- $max = $this->generator->getOrder();
- $numBits = $this->bnNumBits($max);
- $numBytes = (int) \ceil($numBits / 8);
- // Generate an integer of size >= $numBits
- $bytes = \random_bytes($numBytes);
- $value = Math::stringToInt($bytes);
- $mask = \gmp_sub(\gmp_pow(2, $numBits), 1);
- $integer = \gmp_and($value, $mask);
-
- return $integer;
- }
-
- /**
- * Returns the number of bits used to store this number. Non-significant upper bits are not counted.
- *
- * @see https://www.openssl.org/docs/crypto/BN_num_bytes.html
- */
- private function bnNumBits(\GMP $x): int
- {
- $zero = \gmp_init(0, 10);
- if (Math::equals($x, $zero)) {
- return 0;
- }
- $log2 = 0;
- while (false === Math::equals($x, $zero)) {
- $x = Math::rightShift($x, 1);
- ++$log2;
- }
-
- return $log2;
- }
-
- public function getGenerator(): Point
- {
- return $this->generator;
- }
-}
+<?php
+
+declare(strict_types=1);
+
+/*
+ * The MIT License (MIT)
+ *
+ * Copyright (c) 2014-2018 Spomky-Labs
+ *
+ * This software may be modified and distributed under the terms
+ * of the MIT license. See the LICENSE file for details.
+ */
+
+namespace Jose\Component\Core\Util\Ecc;
+
+/**
+ * @internal
+ */
+class Curve
+{
+ /**
+ * Elliptic curve over the field of integers modulo a prime.
+ *
+ * @var \GMP
+ */
+ private $a;
+
+ /**
+ * @var \GMP
+ */
+ private $b;
+
+ /**
+ * @var \GMP
+ */
+ private $prime;
+
+ /**
+ * Binary length of keys associated with these curve parameters.
+ *
+ * @var int
+ */
+ private $size;
+
+ /**
+ * @var Point
+ */
+ private $generator;
+
+ public function __construct(int $size, \GMP $prime, \GMP $a, \GMP $b, Point $generator)
+ {
+ $this->size = $size;
+ $this->prime = $prime;
+ $this->a = $a;
+ $this->b = $b;
+ $this->generator = $generator;
+ }
+
+ public function getA(): \GMP
+ {
+ return $this->a;
+ }
+
+ public function getB(): \GMP
+ {
+ return $this->b;
+ }
+
+ public function getPrime(): \GMP
+ {
+ return $this->prime;
+ }
+
+ public function getSize(): int
+ {
+ return $this->size;
+ }
+
+ public function getPoint(\GMP $x, \GMP $y, ?\GMP $order = null): Point
+ {
+ if (!$this->contains($x, $y)) {
+ throw new \RuntimeException('Curve '.$this->__toString().' does not contain point ('.Math::toString($x).', '.Math::toString($y).')');
+ }
+ $point = Point::create($x, $y, $order);
+ if (!\is_null($order)) {
+ $mul = $this->mul($point, $order);
+ if (!$mul->isInfinity()) {
+ throw new \RuntimeException('SELF * ORDER MUST EQUAL INFINITY. ('.(string) $mul.' found instead)');
+ }
+ }
+
+ return $point;
+ }
+
+ public function getPublicKeyFrom(\GMP $x, \GMP $y): PublicKey
+ {
+ $zero = \gmp_init(0, 10);
+ if (Math::cmp($x, $zero) < 0 || Math::cmp($this->generator->getOrder(), $x) <= 0 || Math::cmp($y, $zero) < 0 || Math::cmp($this->generator->getOrder(), $y) <= 0) {
+ throw new \RuntimeException('Generator point has x and y out of range.');
+ }
+ $point = $this->getPoint($x, $y);
+
+ return PublicKey::create($point);
+ }
+
+ public function contains(\GMP $x, \GMP $y): bool
+ {
+ $eq_zero = Math::equals(
+ ModularArithmetic::sub(
+ Math::pow($y, 2),
+ Math::add(
+ Math::add(
+ Math::pow($x, 3),
+ Math::mul($this->getA(), $x)
+ ),
+ $this->getB()
+ ),
+ $this->getPrime()
+ ),
+ \gmp_init(0, 10)
+ );
+
+ return $eq_zero;
+ }
+
+ public function add(Point $one, Point $two): Point
+ {
+ if ($two->isInfinity()) {
+ return clone $one;
+ }
+
+ if ($one->isInfinity()) {
+ return clone $two;
+ }
+
+ if (Math::equals($two->getX(), $one->getX())) {
+ if (Math::equals($two->getY(), $one->getY())) {
+ return $this->getDouble($one);
+ } else {
+ return Point::infinity();
+ }
+ }
+
+ $slope = ModularArithmetic::div(
+ Math::sub($two->getY(), $one->getY()),
+ Math::sub($two->getX(), $one->getX()),
+ $this->getPrime()
+ );
+
+ $xR = ModularArithmetic::sub(
+ Math::sub(Math::pow($slope, 2), $one->getX()),
+ $two->getX(),
+ $this->getPrime()
+ );
+
+ $yR = ModularArithmetic::sub(
+ Math::mul($slope, Math::sub($one->getX(), $xR)),
+ $one->getY(),
+ $this->getPrime()
+ );
+
+ return $this->getPoint($xR, $yR, $one->getOrder());
+ }
+
+ public function mul(Point $one, \GMP $n): Point
+ {
+ if ($one->isInfinity()) {
+ return Point::infinity();
+ }
+
+ /** @var \GMP $zero */
+ $zero = \gmp_init(0, 10);
+ if (Math::cmp($one->getOrder(), $zero) > 0) {
+ $n = Math::mod($n, $one->getOrder());
+ }
+
+ if (Math::equals($n, $zero)) {
+ return Point::infinity();
+ }
+
+ /** @var Point[] $r */
+ $r = [
+ Point::infinity(),
+ clone $one,
+ ];
+
+ $k = $this->getSize();
+ $n = \str_pad(Math::baseConvert(Math::toString($n), 10, 2), $k, '0', STR_PAD_LEFT);
+
+ for ($i = 0; $i < $k; ++$i) {
+ $j = $n[$i];
+ Point::cswap($r[0], $r[1], $j ^ 1);
+ $r[0] = $this->add($r[0], $r[1]);
+ $r[1] = $this->getDouble($r[1]);
+ Point::cswap($r[0], $r[1], $j ^ 1);
+ }
+
+ $this->validate($r[0]);
+
+ return $r[0];
+ }
+
+ /**
+ * @param Curve $other
+ */
+ public function cmp(self $other): int
+ {
+ $equal = Math::equals($this->getA(), $other->getA());
+ $equal &= Math::equals($this->getB(), $other->getB());
+ $equal &= Math::equals($this->getPrime(), $other->getPrime());
+
+ return $equal ? 0 : 1;
+ }
+
+ /**
+ * @param Curve $other
+ */
+ public function equals(self $other): bool
+ {
+ return 0 === $this->cmp($other);
+ }
+
+ public function __toString(): string
+ {
+ return 'curve('.Math::toString($this->getA()).', '.Math::toString($this->getB()).', '.Math::toString($this->getPrime()).')';
+ }
+
+ private function validate(Point $point)
+ {
+ if (!$point->isInfinity() && !$this->contains($point->getX(), $point->getY())) {
+ throw new \RuntimeException('Invalid point');
+ }
+ }
+
+ public function getDouble(Point $point): Point
+ {
+ if ($point->isInfinity()) {
+ return Point::infinity();
+ }
+
+ $a = $this->getA();
+ $threeX2 = Math::mul(\gmp_init(3, 10), Math::pow($point->getX(), 2));
+
+ $tangent = ModularArithmetic::div(
+ Math::add($threeX2, $a),
+ Math::mul(\gmp_init(2, 10), $point->getY()),
+ $this->getPrime()
+ );
+
+ $x3 = ModularArithmetic::sub(
+ Math::pow($tangent, 2),
+ Math::mul(\gmp_init(2, 10), $point->getX()),
+ $this->getPrime()
+ );
+
+ $y3 = ModularArithmetic::sub(
+ Math::mul($tangent, Math::sub($point->getX(), $x3)),
+ $point->getY(),
+ $this->getPrime()
+ );
+
+ return $this->getPoint($x3, $y3, $point->getOrder());
+ }
+
+ public function createPrivateKey(): PrivateKey
+ {
+ return PrivateKey::create($this->generate());
+ }
+
+ public function createPublicKey(PrivateKey $privateKey): PublicKey
+ {
+ $point = $this->mul($this->generator, $privateKey->getSecret());
+
+ return PublicKey::create($point);
+ }
+
+ private function generate(): \GMP
+ {
+ $max = $this->generator->getOrder();
+ $numBits = $this->bnNumBits($max);
+ $numBytes = (int) \ceil($numBits / 8);
+ // Generate an integer of size >= $numBits
+ $bytes = \random_bytes($numBytes);
+ $value = Math::stringToInt($bytes);
+ $mask = \gmp_sub(\gmp_pow(2, $numBits), 1);
+ $integer = \gmp_and($value, $mask);
+
+ return $integer;
+ }
+
+ /**
+ * Returns the number of bits used to store this number. Non-significant upper bits are not counted.
+ *
+ * @see https://www.openssl.org/docs/crypto/BN_num_bytes.html
+ */
+ private function bnNumBits(\GMP $x): int
+ {
+ $zero = \gmp_init(0, 10);
+ if (Math::equals($x, $zero)) {
+ return 0;
+ }
+ $log2 = 0;
+ while (false === Math::equals($x, $zero)) {
+ $x = Math::rightShift($x, 1);
+ ++$log2;
+ }
+
+ return $log2;
+ }
+
+ public function getGenerator(): Point
+ {
+ return $this->generator;
+ }
+}