Editing: X25519.php
<?php if (class_exists('ParagonIE_Sodium_Core_X25519', false)) { return; } /** * Class ParagonIE_Sodium_Core_X25519 */ abstract class ParagonIE_Sodium_Core_X25519 extends ParagonIE_Sodium_Core_Curve25519 { /** * Alters the objects passed to this method in place. * * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @param ParagonIE_Sodium_Core_Curve25519_Fe $g * @param int $b * @return void * @psalm-suppress MixedAssignment */ public static function fe_cswap( ParagonIE_Sodium_Core_Curve25519_Fe $f, ParagonIE_Sodium_Core_Curve25519_Fe $g, $b = 0 ) { $b = -$b; $x0 = ($f->e0 ^ $g->e0) & $b; $x1 = ($f->e1 ^ $g->e1) & $b; $x2 = ($f->e2 ^ $g->e2) & $b; $x3 = ($f->e3 ^ $g->e3) & $b; $x4 = ($f->e4 ^ $g->e4) & $b; $x5 = ($f->e5 ^ $g->e5) & $b; $x6 = ($f->e6 ^ $g->e6) & $b; $x7 = ($f->e7 ^ $g->e7) & $b; $x8 = ($f->e8 ^ $g->e8) & $b; $x9 = ($f->e9 ^ $g->e9) & $b; $f->e0 ^= $x0; $f->e1 ^= $x1; $f->e2 ^= $x2; $f->e3 ^= $x3; $f->e4 ^= $x4; $f->e5 ^= $x5; $f->e6 ^= $x6; $f->e7 ^= $x7; $f->e8 ^= $x8; $f->e9 ^= $x9; $g->e0 ^= $x0; $g->e1 ^= $x1; $g->e2 ^= $x2; $g->e3 ^= $x3; $g->e4 ^= $x4; $g->e5 ^= $x5; $g->e6 ^= $x6; $g->e7 ^= $x7; $g->e8 ^= $x8; $g->e9 ^= $x9; } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $f * @return ParagonIE_Sodium_Core_Curve25519_Fe */ public static function fe_mul121666(ParagonIE_Sodium_Core_Curve25519_Fe $f) { $h0 = self::mul($f->e0, 121666, 17); $h1 = self::mul($f->e1, 121666, 17); $h2 = self::mul($f->e2, 121666, 17); $h3 = self::mul($f->e3, 121666, 17); $h4 = self::mul($f->e4, 121666, 17); $h5 = self::mul($f->e5, 121666, 17); $h6 = self::mul($f->e6, 121666, 17); $h7 = self::mul($f->e7, 121666, 17); $h8 = self::mul($f->e8, 121666, 17); $h9 = self::mul($f->e9, 121666, 17); $carry9 = ($h9 + (1 << 24)) >> 25; $h0 += self::mul($carry9, 19, 5); $h9 -= $carry9 << 25; $carry1 = ($h1 + (1 << 24)) >> 25; $h2 += $carry1; $h1 -= $carry1 << 25; $carry3 = ($h3 + (1 << 24)) >> 25; $h4 += $carry3; $h3 -= $carry3 << 25; $carry5 = ($h5 + (1 << 24)) >> 25; $h6 += $carry5; $h5 -= $carry5 << 25; $carry7 = ($h7 + (1 << 24)) >> 25; $h8 += $carry7; $h7 -= $carry7 << 25; $carry0 = ($h0 + (1 << 25)) >> 26; $h1 += $carry0; $h0 -= $carry0 << 26; $carry2 = ($h2 + (1 << 25)) >> 26; $h3 += $carry2; $h2 -= $carry2 << 26; $carry4 = ($h4 + (1 << 25)) >> 26; $h5 += $carry4; $h4 -= $carry4 << 26; $carry6 = ($h6 + (1 << 25)) >> 26; $h7 += $carry6; $h6 -= $carry6 << 26; $carry8 = ($h8 + (1 << 25)) >> 26; $h9 += $carry8; $h8 -= $carry8 << 26; return new ParagonIE_Sodium_Core_Curve25519_Fe($h0, $h1, $h2, $h3, $h4, $h5, $h6, $h7, $h8, $h9); } /** * @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; $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, $z2); # fe_tobytes(q,x2); return self::fe_tobytes($x2); } /** * @internal You should not use this directly from another application * * @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY * @param ParagonIE_Sodium_Core_Curve25519_Fe $edwardsZ * @return ParagonIE_Sodium_Core_Curve25519_Fe */ public static function edwards_to_montgomery( ParagonIE_Sodium_Core_Curve25519_Fe $edwardsY, ParagonIE_Sodium_Core_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 ( !($A->Y instanceof ParagonIE_Sodium_Core_Curve25519_Fe) || !($A->Z instanceof ParagonIE_Sodium_Core_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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