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Editing: X25519.php
<?php if (class_exists('ParagonIE_Sodium_Core32_X25519', false)) { return; } /** * Class ParagonIE_Sodium_Core32_X25519 */ abstract class ParagonIE_Sodium_Core32_X25519 extends ParagonIE_Sodium_Core32_Curve25519 { /** * Alters the objects passed to this method in place. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @param ParagonIE_Sodium_Core32_Curve25519_Fe $g * @param int $b * @return void * @throws SodiumException * @throws TypeError * @psalm-suppress MixedMethodCall */ public static function fe_cswap( ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g, $b = 0 ) { $f0 = (int) $f[0]->toInt(); $f1 = (int) $f[1]->toInt(); $f2 = (int) $f[2]->toInt(); $f3 = (int) $f[3]->toInt(); $f4 = (int) $f[4]->toInt(); $f5 = (int) $f[5]->toInt(); $f6 = (int) $f[6]->toInt(); $f7 = (int) $f[7]->toInt(); $f8 = (int) $f[8]->toInt(); $f9 = (int) $f[9]->toInt(); $g0 = (int) $g[0]->toInt(); $g1 = (int) $g[1]->toInt(); $g2 = (int) $g[2]->toInt(); $g3 = (int) $g[3]->toInt(); $g4 = (int) $g[4]->toInt(); $g5 = (int) $g[5]->toInt(); $g6 = (int) $g[6]->toInt(); $g7 = (int) $g[7]->toInt(); $g8 = (int) $g[8]->toInt(); $g9 = (int) $g[9]->toInt(); $b = -$b; /** @var int $x0 */ $x0 = ($f0 ^ $g0) & $b; /** @var int $x1 */ $x1 = ($f1 ^ $g1) & $b; /** @var int $x2 */ $x2 = ($f2 ^ $g2) & $b; /** @var int $x3 */ $x3 = ($f3 ^ $g3) & $b; /** @var int $x4 */ $x4 = ($f4 ^ $g4) & $b; /** @var int $x5 */ $x5 = ($f5 ^ $g5) & $b; /** @var int $x6 */ $x6 = ($f6 ^ $g6) & $b; /** @var int $x7 */ $x7 = ($f7 ^ $g7) & $b; /** @var int $x8 */ $x8 = ($f8 ^ $g8) & $b; /** @var int $x9 */ $x9 = ($f9 ^ $g9) & $b; $f[0] = ParagonIE_Sodium_Core32_Int32::fromInt($f0 ^ $x0); $f[1] = ParagonIE_Sodium_Core32_Int32::fromInt($f1 ^ $x1); $f[2] = ParagonIE_Sodium_Core32_Int32::fromInt($f2 ^ $x2); $f[3] = ParagonIE_Sodium_Core32_Int32::fromInt($f3 ^ $x3); $f[4] = ParagonIE_Sodium_Core32_Int32::fromInt($f4 ^ $x4); $f[5] = ParagonIE_Sodium_Core32_Int32::fromInt($f5 ^ $x5); $f[6] = ParagonIE_Sodium_Core32_Int32::fromInt($f6 ^ $x6); $f[7] = ParagonIE_Sodium_Core32_Int32::fromInt($f7 ^ $x7); $f[8] = ParagonIE_Sodium_Core32_Int32::fromInt($f8 ^ $x8); $f[9] = ParagonIE_Sodium_Core32_Int32::fromInt($f9 ^ $x9); $g[0] = ParagonIE_Sodium_Core32_Int32::fromInt($g0 ^ $x0); $g[1] = ParagonIE_Sodium_Core32_Int32::fromInt($g1 ^ $x1); $g[2] = ParagonIE_Sodium_Core32_Int32::fromInt($g2 ^ $x2); $g[3] = ParagonIE_Sodium_Core32_Int32::fromInt($g3 ^ $x3); $g[4] = ParagonIE_Sodium_Core32_Int32::fromInt($g4 ^ $x4); $g[5] = ParagonIE_Sodium_Core32_Int32::fromInt($g5 ^ $x5); $g[6] = ParagonIE_Sodium_Core32_Int32::fromInt($g6 ^ $x6); $g[7] = ParagonIE_Sodium_Core32_Int32::fromInt($g7 ^ $x7); $g[8] = ParagonIE_Sodium_Core32_Int32::fromInt($g8 ^ $x8); $g[9] = ParagonIE_Sodium_Core32_Int32::fromInt($g9 ^ $x9); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError * @psalm-suppress MixedAssignment * @psalm-suppress MixedMethodCall */ public static function fe_mul121666(ParagonIE_Sodium_Core32_Curve25519_Fe $f) { /** @var array<int, ParagonIE_Sodium_Core32_Int64> $h */ $h = array(); for ($i = 0; $i < 10; ++$i) { $h[$i] = $f[$i]->toInt64()->mulInt(121666, 17); } $carry9 = $h[9]->addInt(1 << 24)->shiftRight(25); $h[0] = $h[0]->addInt64($carry9->mulInt(19, 5)); $h[9] = $h[9]->subInt64($carry9->shiftLeft(25)); $carry1 = $h[1]->addInt(1 << 24)->shiftRight(25); $h[2] = $h[2]->addInt64($carry1); $h[1] = $h[1]->subInt64($carry1->shiftLeft(25)); $carry3 = $h[3]->addInt(1 << 24)->shiftRight(25); $h[4] = $h[4]->addInt64($carry3); $h[3] = $h[3]->subInt64($carry3->shiftLeft(25)); $carry5 = $h[5]->addInt(1 << 24)->shiftRight(25); $h[6] = $h[6]->addInt64($carry5); $h[5] = $h[5]->subInt64($carry5->shiftLeft(25)); $carry7 = $h[7]->addInt(1 << 24)->shiftRight(25); $h[8] = $h[8]->addInt64($carry7); $h[7] = $h[7]->subInt64($carry7->shiftLeft(25)); $carry0 = $h[0]->addInt(1 << 25)->shiftRight(26); $h[1] = $h[1]->addInt64($carry0); $h[0] = $h[0]->subInt64($carry0->shiftLeft(26)); $carry2 = $h[2]->addInt(1 << 25)->shiftRight(26); $h[3] = $h[3]->addInt64($carry2); $h[2] = $h[2]->subInt64($carry2->shiftLeft(26)); $carry4 = $h[4]->addInt(1 << 25)->shiftRight(26); $h[5] = $h[5]->addInt64($carry4); $h[4] = $h[4]->subInt64($carry4->shiftLeft(26)); $carry6 = $h[6]->addInt(1 << 25)->shiftRight(26); $h[7] = $h[7]->addInt64($carry6); $h[6] = $h[6]->subInt64($carry6->shiftLeft(26)); $carry8 = $h[8]->addInt(1 << 25)->shiftRight(26); $h[9] = $h[9]->addInt64($carry8); $h[8] = $h[8]->subInt64($carry8->shiftLeft(26)); for ($i = 0; $i < 10; ++$i) { $h[$i] = $h[$i]->toInt32(); } /** @var array<int, ParagonIE_Sodium_Core32_Int32> $h2 */ $h2 = $h; return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h2); } /** * @internal You should not use this directly from another application * * Inline comments preceded by # are from libsodium's ref10 code. * * @param string $n * @param string $p * @return string * @throws SodiumException * @throws TypeError */ public static function crypto_scalarmult_curve25519_ref10($n, $p) { # for (i = 0;i < 32;++i) e[i] = n[i]; $e = '' . $n; # e[0] &= 248; $e[0] = self::intToChr( self::chrToInt($e[0]) & 248 ); # e[31] &= 127; # e[31] |= 64; $e[31] = self::intToChr( (self::chrToInt($e[31]) & 127) | 64 ); # fe_frombytes(x1,p); $x1 = self::fe_frombytes($p); # fe_1(x2); $x2 = self::fe_1(); # fe_0(z2); $z2 = self::fe_0(); # fe_copy(x3,x1); $x3 = self::fe_copy($x1); # fe_1(z3); $z3 = self::fe_1(); # swap = 0; /** @var int $swap */ $swap = 0; # for (pos = 254;pos >= 0;--pos) { for ($pos = 254; $pos >= 0; --$pos) { # b = e[pos / 8] >> (pos & 7); /** @var int $b */ $b = self::chrToInt( $e[(int) floor($pos / 8)] ) >> ($pos & 7); # b &= 1; $b &= 1; # swap ^= b; $swap ^= $b; # fe_cswap(x2,x3,swap); self::fe_cswap($x2, $x3, $swap); # fe_cswap(z2,z3,swap); self::fe_cswap($z2, $z3, $swap); # swap = b; /** @var int $swap */ $swap = $b; # fe_sub(tmp0,x3,z3); $tmp0 = self::fe_sub($x3, $z3); # fe_sub(tmp1,x2,z2); $tmp1 = self::fe_sub($x2, $z2); # fe_add(x2,x2,z2); $x2 = self::fe_add($x2, $z2); # fe_add(z2,x3,z3); $z2 = self::fe_add($x3, $z3); # fe_mul(z3,tmp0,x2); $z3 = self::fe_mul($tmp0, $x2); # fe_mul(z2,z2,tmp1); $z2 = self::fe_mul($z2, $tmp1); # fe_sq(tmp0,tmp1); $tmp0 = self::fe_sq($tmp1); # fe_sq(tmp1,x2); $tmp1 = self::fe_sq($x2); # fe_add(x3,z3,z2); $x3 = self::fe_add($z3, $z2); # fe_sub(z2,z3,z2); $z2 = self::fe_sub($z3, $z2); # fe_mul(x2,tmp1,tmp0); $x2 = self::fe_mul($tmp1, $tmp0); # fe_sub(tmp1,tmp1,tmp0); $tmp1 = self::fe_sub($tmp1, $tmp0); # fe_sq(z2,z2); $z2 = self::fe_sq($z2); # fe_mul121666(z3,tmp1); $z3 = self::fe_mul121666($tmp1); # fe_sq(x3,x3); $x3 = self::fe_sq($x3); # fe_add(tmp0,tmp0,z3); $tmp0 = self::fe_add($tmp0, $z3); # fe_mul(z3,x1,z2); $z3 = self::fe_mul($x1, $z2); # fe_mul(z2,tmp1,tmp0); $z2 = self::fe_mul($tmp1, $tmp0); } # fe_cswap(x2,x3,swap); self::fe_cswap($x2, $x3, $swap); # fe_cswap(z2,z3,swap); self::fe_cswap($z2, $z3, $swap); # fe_invert(z2,z2); $z2 = self::fe_invert($z2); # fe_mul(x2,x2,z2); $x2 = self::fe_mul($x2, $z2); # fe_tobytes(q,x2); return (string) self::fe_tobytes($x2); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ * @return ParagonIE_Sodium_Core32_Curve25519_Fe * @throws SodiumException * @throws TypeError */ public static function edwards_to_montgomery( ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY, ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ ) { $tempX = self::fe_add($edwardsZ, $edwardsY); $tempZ = self::fe_sub($edwardsZ, $edwardsY); $tempZ = self::fe_invert($tempZ); return self::fe_mul($tempX, $tempZ); } /** * @internal You should not use this directly from another application * * @param string $n * @return string * @throws SodiumException * @throws TypeError */ public static function crypto_scalarmult_curve25519_ref10_base($n) { # for (i = 0;i < 32;++i) e[i] = n[i]; $e = '' . $n; # e[0] &= 248; $e[0] = self::intToChr( self::chrToInt($e[0]) & 248 ); # e[31] &= 127; # e[31] |= 64; $e[31] = self::intToChr( (self::chrToInt($e[31]) & 127) | 64 ); $A = self::ge_scalarmult_base($e); if ( !($A->Y instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) || !($A->Z instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) ) { throw new TypeError('Null points encountered'); } $pk = self::edwards_to_montgomery($A->Y, $A->Z); return self::fe_tobytes($pk); } }
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