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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-28 13:16:40 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-28 13:16:40 +0000 |
commit | 47ab3d4a42e9ab51c465c4322d2ec233f6324e6b (patch) | |
tree | a61a0ffd83f4a3def4b36e5c8e99630c559aa723 /src/crypto/elliptic/internal/fiat/p384_invert.go | |
parent | Initial commit. (diff) | |
download | golang-1.18-47ab3d4a42e9ab51c465c4322d2ec233f6324e6b.tar.xz golang-1.18-47ab3d4a42e9ab51c465c4322d2ec233f6324e6b.zip |
Adding upstream version 1.18.10.upstream/1.18.10upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/crypto/elliptic/internal/fiat/p384_invert.go')
-rw-r--r-- | src/crypto/elliptic/internal/fiat/p384_invert.go | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/src/crypto/elliptic/internal/fiat/p384_invert.go b/src/crypto/elliptic/internal/fiat/p384_invert.go new file mode 100644 index 0000000..24169e9 --- /dev/null +++ b/src/crypto/elliptic/internal/fiat/p384_invert.go @@ -0,0 +1,102 @@ +// Copyright 2021 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Code generated by addchain. DO NOT EDIT. + +package fiat + +// Invert sets e = 1/x, and returns e. +// +// If x == 0, Invert returns e = 0. +func (e *P384Element) Invert(x *P384Element) *P384Element { + // Inversion is implemented as exponentiation with exponent p − 2. + // The sequence of 15 multiplications and 383 squarings is derived from the + // following addition chain generated with github.com/mmcloughlin/addchain v0.3.0. + // + // _10 = 2*1 + // _11 = 1 + _10 + // _110 = 2*_11 + // _111 = 1 + _110 + // _111000 = _111 << 3 + // _111111 = _111 + _111000 + // x12 = _111111 << 6 + _111111 + // x24 = x12 << 12 + x12 + // x30 = x24 << 6 + _111111 + // x31 = 2*x30 + 1 + // x32 = 2*x31 + 1 + // x63 = x32 << 31 + x31 + // x126 = x63 << 63 + x63 + // x252 = x126 << 126 + x126 + // x255 = x252 << 3 + _111 + // i397 = ((x255 << 33 + x32) << 94 + x30) << 2 + // return 1 + i397 + // + + var z = new(P384Element).Set(e) + var t0 = new(P384Element) + var t1 = new(P384Element) + var t2 = new(P384Element) + var t3 = new(P384Element) + + z.Square(x) + z.Mul(x, z) + z.Square(z) + t1.Mul(x, z) + z.Square(t1) + for s := 1; s < 3; s++ { + z.Square(z) + } + z.Mul(t1, z) + t0.Square(z) + for s := 1; s < 6; s++ { + t0.Square(t0) + } + t0.Mul(z, t0) + t2.Square(t0) + for s := 1; s < 12; s++ { + t2.Square(t2) + } + t0.Mul(t0, t2) + for s := 0; s < 6; s++ { + t0.Square(t0) + } + z.Mul(z, t0) + t0.Square(z) + t2.Mul(x, t0) + t0.Square(t2) + t0.Mul(x, t0) + t3.Square(t0) + for s := 1; s < 31; s++ { + t3.Square(t3) + } + t2.Mul(t2, t3) + t3.Square(t2) + for s := 1; s < 63; s++ { + t3.Square(t3) + } + t2.Mul(t2, t3) + t3.Square(t2) + for s := 1; s < 126; s++ { + t3.Square(t3) + } + t2.Mul(t2, t3) + for s := 0; s < 3; s++ { + t2.Square(t2) + } + t1.Mul(t1, t2) + for s := 0; s < 33; s++ { + t1.Square(t1) + } + t0.Mul(t0, t1) + for s := 0; s < 94; s++ { + t0.Square(t0) + } + z.Mul(z, t0) + for s := 0; s < 2; s++ { + z.Square(z) + } + z.Mul(x, z) + + return e.Set(z) +} |