Summery Summery
Multiply two field elements
Syntax Syntax
Description Description
h = f * g
Parameters Parameters
- $f
-
(Required)
- $g
-
(Required)
Return Return
Source Source
File: wp-includes/sodium_compat/src/Core32/Curve25519.php
public static function fe_mul( ParagonIE_Sodium_Core32_Curve25519_Fe $f, ParagonIE_Sodium_Core32_Curve25519_Fe $g ) { /** * @var ParagonIE_Sodium_Core32_Int32[] $f * @var ParagonIE_Sodium_Core32_Int32[] $g * @var ParagonIE_Sodium_Core32_Int64 $f0 * @var ParagonIE_Sodium_Core32_Int64 $f1 * @var ParagonIE_Sodium_Core32_Int64 $f2 * @var ParagonIE_Sodium_Core32_Int64 $f3 * @var ParagonIE_Sodium_Core32_Int64 $f4 * @var ParagonIE_Sodium_Core32_Int64 $f5 * @var ParagonIE_Sodium_Core32_Int64 $f6 * @var ParagonIE_Sodium_Core32_Int64 $f7 * @var ParagonIE_Sodium_Core32_Int64 $f8 * @var ParagonIE_Sodium_Core32_Int64 $f9 * @var ParagonIE_Sodium_Core32_Int64 $g0 * @var ParagonIE_Sodium_Core32_Int64 $g1 * @var ParagonIE_Sodium_Core32_Int64 $g2 * @var ParagonIE_Sodium_Core32_Int64 $g3 * @var ParagonIE_Sodium_Core32_Int64 $g4 * @var ParagonIE_Sodium_Core32_Int64 $g5 * @var ParagonIE_Sodium_Core32_Int64 $g6 * @var ParagonIE_Sodium_Core32_Int64 $g7 * @var ParagonIE_Sodium_Core32_Int64 $g8 * @var ParagonIE_Sodium_Core32_Int64 $g9 */ $f0 = $f[0]->toInt64(); $f1 = $f[1]->toInt64(); $f2 = $f[2]->toInt64(); $f3 = $f[3]->toInt64(); $f4 = $f[4]->toInt64(); $f5 = $f[5]->toInt64(); $f6 = $f[6]->toInt64(); $f7 = $f[7]->toInt64(); $f8 = $f[8]->toInt64(); $f9 = $f[9]->toInt64(); $g0 = $g[0]->toInt64(); $g1 = $g[1]->toInt64(); $g2 = $g[2]->toInt64(); $g3 = $g[3]->toInt64(); $g4 = $g[4]->toInt64(); $g5 = $g[5]->toInt64(); $g6 = $g[6]->toInt64(); $g7 = $g[7]->toInt64(); $g8 = $g[8]->toInt64(); $g9 = $g[9]->toInt64(); $g1_19 = $g1->mulInt(19, 5); /* 2^4 <= 19 <= 2^5, but we only want 5 bits */ $g2_19 = $g2->mulInt(19, 5); $g3_19 = $g3->mulInt(19, 5); $g4_19 = $g4->mulInt(19, 5); $g5_19 = $g5->mulInt(19, 5); $g6_19 = $g6->mulInt(19, 5); $g7_19 = $g7->mulInt(19, 5); $g8_19 = $g8->mulInt(19, 5); $g9_19 = $g9->mulInt(19, 5); /** @var ParagonIE_Sodium_Core32_Int64 $f1_2 */ $f1_2 = $f1->shiftLeft(1); /** @var ParagonIE_Sodium_Core32_Int64 $f3_2 */ $f3_2 = $f3->shiftLeft(1); /** @var ParagonIE_Sodium_Core32_Int64 $f5_2 */ $f5_2 = $f5->shiftLeft(1); /** @var ParagonIE_Sodium_Core32_Int64 $f7_2 */ $f7_2 = $f7->shiftLeft(1); /** @var ParagonIE_Sodium_Core32_Int64 $f9_2 */ $f9_2 = $f9->shiftLeft(1); $f0g0 = $f0->mulInt64($g0, 27); $f0g1 = $f0->mulInt64($g1, 27); $f0g2 = $f0->mulInt64($g2, 27); $f0g3 = $f0->mulInt64($g3, 27); $f0g4 = $f0->mulInt64($g4, 27); $f0g5 = $f0->mulInt64($g5, 27); $f0g6 = $f0->mulInt64($g6, 27); $f0g7 = $f0->mulInt64($g7, 27); $f0g8 = $f0->mulInt64($g8, 27); $f0g9 = $f0->mulInt64($g9, 27); $f1g0 = $f1->mulInt64($g0, 27); $f1g1_2 = $f1_2->mulInt64($g1, 27); $f1g2 = $f1->mulInt64($g2, 27); $f1g3_2 = $f1_2->mulInt64($g3, 27); $f1g4 = $f1->mulInt64($g4, 30); $f1g5_2 = $f1_2->mulInt64($g5, 30); $f1g6 = $f1->mulInt64($g6, 30); $f1g7_2 = $f1_2->mulInt64($g7, 30); $f1g8 = $f1->mulInt64($g8, 30); $f1g9_38 = $g9_19->mulInt64($f1_2, 30); $f2g0 = $f2->mulInt64($g0, 30); $f2g1 = $f2->mulInt64($g1, 29); $f2g2 = $f2->mulInt64($g2, 30); $f2g3 = $f2->mulInt64($g3, 29); $f2g4 = $f2->mulInt64($g4, 30); $f2g5 = $f2->mulInt64($g5, 29); $f2g6 = $f2->mulInt64($g6, 30); $f2g7 = $f2->mulInt64($g7, 29); $f2g8_19 = $g8_19->mulInt64($f2, 30); $f2g9_19 = $g9_19->mulInt64($f2, 30); $f3g0 = $f3->mulInt64($g0, 30); $f3g1_2 = $f3_2->mulInt64($g1, 30); $f3g2 = $f3->mulInt64($g2, 30); $f3g3_2 = $f3_2->mulInt64($g3, 30); $f3g4 = $f3->mulInt64($g4, 30); $f3g5_2 = $f3_2->mulInt64($g5, 30); $f3g6 = $f3->mulInt64($g6, 30); $f3g7_38 = $g7_19->mulInt64($f3_2, 30); $f3g8_19 = $g8_19->mulInt64($f3, 30); $f3g9_38 = $g9_19->mulInt64($f3_2, 30); $f4g0 = $f4->mulInt64($g0, 30); $f4g1 = $f4->mulInt64($g1, 30); $f4g2 = $f4->mulInt64($g2, 30); $f4g3 = $f4->mulInt64($g3, 30); $f4g4 = $f4->mulInt64($g4, 30); $f4g5 = $f4->mulInt64($g5, 30); $f4g6_19 = $g6_19->mulInt64($f4, 30); $f4g7_19 = $g7_19->mulInt64($f4, 30); $f4g8_19 = $g8_19->mulInt64($f4, 30); $f4g9_19 = $g9_19->mulInt64($f4, 30); $f5g0 = $f5->mulInt64($g0, 30); $f5g1_2 = $f5_2->mulInt64($g1, 30); $f5g2 = $f5->mulInt64($g2, 30); $f5g3_2 = $f5_2->mulInt64($g3, 30); $f5g4 = $f5->mulInt64($g4, 30); $f5g5_38 = $g5_19->mulInt64($f5_2, 30); $f5g6_19 = $g6_19->mulInt64($f5, 30); $f5g7_38 = $g7_19->mulInt64($f5_2, 30); $f5g8_19 = $g8_19->mulInt64($f5, 30); $f5g9_38 = $g9_19->mulInt64($f5_2, 30); $f6g0 = $f6->mulInt64($g0, 30); $f6g1 = $f6->mulInt64($g1, 30); $f6g2 = $f6->mulInt64($g2, 30); $f6g3 = $f6->mulInt64($g3, 30); $f6g4_19 = $g4_19->mulInt64($f6, 30); $f6g5_19 = $g5_19->mulInt64($f6, 30); $f6g6_19 = $g6_19->mulInt64($f6, 30); $f6g7_19 = $g7_19->mulInt64($f6, 30); $f6g8_19 = $g8_19->mulInt64($f6, 30); $f6g9_19 = $g9_19->mulInt64($f6, 30); $f7g0 = $f7->mulInt64($g0, 30); $f7g1_2 = $g1->mulInt64($f7_2, 30); $f7g2 = $f7->mulInt64($g2, 30); $f7g3_38 = $g3_19->mulInt64($f7_2, 30); $f7g4_19 = $g4_19->mulInt64($f7, 30); $f7g5_38 = $g5_19->mulInt64($f7_2, 30); $f7g6_19 = $g6_19->mulInt64($f7, 30); $f7g7_38 = $g7_19->mulInt64($f7_2, 30); $f7g8_19 = $g8_19->mulInt64($f7, 30); $f7g9_38 = $g9_19->mulInt64($f7_2, 30); $f8g0 = $f8->mulInt64($g0, 30); $f8g1 = $f8->mulInt64($g1, 29); $f8g2_19 = $g2_19->mulInt64($f8, 30); $f8g3_19 = $g3_19->mulInt64($f8, 30); $f8g4_19 = $g4_19->mulInt64($f8, 30); $f8g5_19 = $g5_19->mulInt64($f8, 30); $f8g6_19 = $g6_19->mulInt64($f8, 30); $f8g7_19 = $g7_19->mulInt64($f8, 30); $f8g8_19 = $g8_19->mulInt64($f8, 30); $f8g9_19 = $g9_19->mulInt64($f8, 30); $f9g0 = $f9->mulInt64($g0, 30); $f9g1_38 = $g1_19->mulInt64($f9_2, 30); $f9g2_19 = $g2_19->mulInt64($f9, 30); $f9g3_38 = $g3_19->mulInt64($f9_2, 30); $f9g4_19 = $g4_19->mulInt64($f9, 30); $f9g5_38 = $g5_19->mulInt64($f9_2, 30); $f9g6_19 = $g6_19->mulInt64($f9, 30); $f9g7_38 = $g7_19->mulInt64($f9_2, 30); $f9g8_19 = $g8_19->mulInt64($f9, 30); $f9g9_38 = $g9_19->mulInt64($f9_2, 30); // $h0 = $f0g0 + $f1g9_38 + $f2g8_19 + $f3g7_38 + $f4g6_19 + $f5g5_38 + $f6g4_19 + $f7g3_38 + $f8g2_19 + $f9g1_38; $h0 = $f0g0->addInt64($f1g9_38)->addInt64($f2g8_19)->addInt64($f3g7_38) ->addInt64($f4g6_19)->addInt64($f5g5_38)->addInt64($f6g4_19) ->addInt64($f7g3_38)->addInt64($f8g2_19)->addInt64($f9g1_38); // $h1 = $f0g1 + $f1g0 + $f2g9_19 + $f3g8_19 + $f4g7_19 + $f5g6_19 + $f6g5_19 + $f7g4_19 + $f8g3_19 + $f9g2_19; $h1 = $f0g1->addInt64($f1g0)->addInt64($f2g9_19)->addInt64($f3g8_19) ->addInt64($f4g7_19)->addInt64($f5g6_19)->addInt64($f6g5_19) ->addInt64($f7g4_19)->addInt64($f8g3_19)->addInt64($f9g2_19); // $h2 = $f0g2 + $f1g1_2 + $f2g0 + $f3g9_38 + $f4g8_19 + $f5g7_38 + $f6g6_19 + $f7g5_38 + $f8g4_19 + $f9g3_38; $h2 = $f0g2->addInt64($f1g1_2)->addInt64($f2g0)->addInt64($f3g9_38) ->addInt64($f4g8_19)->addInt64($f5g7_38)->addInt64($f6g6_19) ->addInt64($f7g5_38)->addInt64($f8g4_19)->addInt64($f9g3_38); // $h3 = $f0g3 + $f1g2 + $f2g1 + $f3g0 + $f4g9_19 + $f5g8_19 + $f6g7_19 + $f7g6_19 + $f8g5_19 + $f9g4_19; $h3 = $f0g3->addInt64($f1g2)->addInt64($f2g1)->addInt64($f3g0) ->addInt64($f4g9_19)->addInt64($f5g8_19)->addInt64($f6g7_19) ->addInt64($f7g6_19)->addInt64($f8g5_19)->addInt64($f9g4_19); // $h4 = $f0g4 + $f1g3_2 + $f2g2 + $f3g1_2 + $f4g0 + $f5g9_38 + $f6g8_19 + $f7g7_38 + $f8g6_19 + $f9g5_38; $h4 = $f0g4->addInt64($f1g3_2)->addInt64($f2g2)->addInt64($f3g1_2) ->addInt64($f4g0)->addInt64($f5g9_38)->addInt64($f6g8_19) ->addInt64($f7g7_38)->addInt64($f8g6_19)->addInt64($f9g5_38); // $h5 = $f0g5 + $f1g4 + $f2g3 + $f3g2 + $f4g1 + $f5g0 + $f6g9_19 + $f7g8_19 + $f8g7_19 + $f9g6_19; $h5 = $f0g5->addInt64($f1g4)->addInt64($f2g3)->addInt64($f3g2) ->addInt64($f4g1)->addInt64($f5g0)->addInt64($f6g9_19) ->addInt64($f7g8_19)->addInt64($f8g7_19)->addInt64($f9g6_19); // $h6 = $f0g6 + $f1g5_2 + $f2g4 + $f3g3_2 + $f4g2 + $f5g1_2 + $f6g0 + $f7g9_38 + $f8g8_19 + $f9g7_38; $h6 = $f0g6->addInt64($f1g5_2)->addInt64($f2g4)->addInt64($f3g3_2) ->addInt64($f4g2)->addInt64($f5g1_2)->addInt64($f6g0) ->addInt64($f7g9_38)->addInt64($f8g8_19)->addInt64($f9g7_38); // $h7 = $f0g7 + $f1g6 + $f2g5 + $f3g4 + $f4g3 + $f5g2 + $f6g1 + $f7g0 + $f8g9_19 + $f9g8_19; $h7 = $f0g7->addInt64($f1g6)->addInt64($f2g5)->addInt64($f3g4) ->addInt64($f4g3)->addInt64($f5g2)->addInt64($f6g1) ->addInt64($f7g0)->addInt64($f8g9_19)->addInt64($f9g8_19); // $h8 = $f0g8 + $f1g7_2 + $f2g6 + $f3g5_2 + $f4g4 + $f5g3_2 + $f6g2 + $f7g1_2 + $f8g0 + $f9g9_38; $h8 = $f0g8->addInt64($f1g7_2)->addInt64($f2g6)->addInt64($f3g5_2) ->addInt64($f4g4)->addInt64($f5g3_2)->addInt64($f6g2) ->addInt64($f7g1_2)->addInt64($f8g0)->addInt64($f9g9_38); // $h9 = $f0g9 + $f1g8 + $f2g7 + $f3g6 + $f4g5 + $f5g4 + $f6g3 + $f7g2 + $f8g1 + $f9g0 ; $h9 = $f0g9->addInt64($f1g8)->addInt64($f2g7)->addInt64($f3g6) ->addInt64($f4g5)->addInt64($f5g4)->addInt64($f6g3) ->addInt64($f7g2)->addInt64($f8g1)->addInt64($f9g0); /** * @var ParagonIE_Sodium_Core32_Int64 $h0 * @var ParagonIE_Sodium_Core32_Int64 $h1 * @var ParagonIE_Sodium_Core32_Int64 $h2 * @var ParagonIE_Sodium_Core32_Int64 $h3 * @var ParagonIE_Sodium_Core32_Int64 $h4 * @var ParagonIE_Sodium_Core32_Int64 $h5 * @var ParagonIE_Sodium_Core32_Int64 $h6 * @var ParagonIE_Sodium_Core32_Int64 $h7 * @var ParagonIE_Sodium_Core32_Int64 $h8 * @var ParagonIE_Sodium_Core32_Int64 $h9 * @var ParagonIE_Sodium_Core32_Int64 $carry0 * @var ParagonIE_Sodium_Core32_Int64 $carry1 * @var ParagonIE_Sodium_Core32_Int64 $carry2 * @var ParagonIE_Sodium_Core32_Int64 $carry3 * @var ParagonIE_Sodium_Core32_Int64 $carry4 * @var ParagonIE_Sodium_Core32_Int64 $carry5 * @var ParagonIE_Sodium_Core32_Int64 $carry6 * @var ParagonIE_Sodium_Core32_Int64 $carry7 * @var ParagonIE_Sodium_Core32_Int64 $carry8 * @var ParagonIE_Sodium_Core32_Int64 $carry9 */ $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry1 = $h1->addInt(1 << 24)->shiftRight(25); $h2 = $h2->addInt64($carry1); $h1 = $h1->subInt64($carry1->shiftLeft(25)); $carry5 = $h5->addInt(1 << 24)->shiftRight(25); $h6 = $h6->addInt64($carry5); $h5 = $h5->subInt64($carry5->shiftLeft(25)); $carry2 = $h2->addInt(1 << 25)->shiftRight(26); $h3 = $h3->addInt64($carry2); $h2 = $h2->subInt64($carry2->shiftLeft(26)); $carry6 = $h6->addInt(1 << 25)->shiftRight(26); $h7 = $h7->addInt64($carry6); $h6 = $h6->subInt64($carry6->shiftLeft(26)); $carry3 = $h3->addInt(1 << 24)->shiftRight(25); $h4 = $h4->addInt64($carry3); $h3 = $h3->subInt64($carry3->shiftLeft(25)); $carry7 = $h7->addInt(1 << 24)->shiftRight(25); $h8 = $h8->addInt64($carry7); $h7 = $h7->subInt64($carry7->shiftLeft(25)); $carry4 = $h4->addInt(1 << 25)->shiftRight(26); $h5 = $h5->addInt64($carry4); $h4 = $h4->subInt64($carry4->shiftLeft(26)); $carry8 = $h8->addInt(1 << 25)->shiftRight(26); $h9 = $h9->addInt64($carry8); $h8 = $h8->subInt64($carry8->shiftLeft(26)); $carry9 = $h9->addInt(1 << 24)->shiftRight(25); $h0 = $h0->addInt64($carry9->mulInt(19, 5)); $h9 = $h9->subInt64($carry9->shiftLeft(25)); $carry0 = $h0->addInt(1 << 25)->shiftRight(26); $h1 = $h1->addInt64($carry0); $h0 = $h0->subInt64($carry0->shiftLeft(26)); return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray( array( $h0->toInt32(), $h1->toInt32(), $h2->toInt32(), $h3->toInt32(), $h4->toInt32(), $h5->toInt32(), $h6->toInt32(), $h7->toInt32(), $h8->toInt32(), $h9->toInt32() ) ); }