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> 25; $h[0] += self::mul($carry9, 19, 5); $h[9] -= $carry9 << 25; /** @var int $carry1 */ $carry1 = ($h[1] + (1 << 24)) >> 25; $h[2] += $carry1; $h[1] -= $carry1 << 25; /** @var int $carry3 */ $carry3 = ($h[3] + (1 << 24)) >> 25; $h[4] += $carry3; $h[3] -= $carry3 << 25; /** @var int $carry5 */ $carry5 = ($h[5] + (1 << 24)) >> 25; $h[6] += $carry5; $h[5] -= $carry5 << 25; /** @var int $carry7 */ $carry7 = ($h[7] + (1 << 24)) >> 25; $h[8] += $carry7; $h[7] -= $carry7 << 25; /** @var int $carry0 */ $carry0 = ($h[0] + (1 << 25)) >> 26; $h[1] += $carry0; $h[0] -= $carry0 << 26; /** @var int $carry2 */ $carry2 = ($h[2] + (1 << 25)) >> 26; $h[3] += $carry2; $h[2] -= $carry2 << 26; /** @var int $carry4 */ $carry4 = ($h[4] + (1 << 25)) >> 26; $h[5] += $carry4; $h[4] -= $carry4 << 26; /** @var int $carry6 */ $carry6 = ($h[6] + (1 << 25)) >> 26; $h[7] += $carry6; $h[6] -= $carry6 << 26; /** @var int $carry8 */ $carry8 = ($h[8] + (1 << 25)) >> 26; $h[9] += $carry8; $h[8] -= $carry8 << 26; foreach ($h as $i => $value) { $h[$i] = (int) $value; } return ParagonIE_Sodium_Core_Curve25519_Fe::fromArray($h); } /** * @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); } }