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authorWim <wim@42.be>2022-01-31 00:27:37 +0100
committerWim <wim@42.be>2022-03-20 14:57:48 +0100
commite3cafeaf9292f67459ff1d186f68283bfaedf2ae (patch)
treeb69c39620aa91dba695b3b935c6651c0fb37ce75 /vendor/modernc.org/mathutil/binarylog.go
parente7b193788a56ee7cdb02a87a9db0ad6724ef66d5 (diff)
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Diffstat (limited to 'vendor/modernc.org/mathutil/binarylog.go')
-rw-r--r--vendor/modernc.org/mathutil/binarylog.go80
1 files changed, 80 insertions, 0 deletions
diff --git a/vendor/modernc.org/mathutil/binarylog.go b/vendor/modernc.org/mathutil/binarylog.go
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+++ b/vendor/modernc.org/mathutil/binarylog.go
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+// Copyright (c) 2016 The mathutil Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package mathutil // import "modernc.org/mathutil"
+
+import (
+ "math/big"
+)
+
+type float struct {
+ n *big.Int
+ fracBits int
+ maxFracBits int
+}
+
+func newFloat(n *big.Int, fracBits, maxFracBits int) float {
+ f := float{n: n, fracBits: fracBits, maxFracBits: maxFracBits}
+ f.normalize()
+ return f
+}
+
+func (f *float) normalize() {
+ n := f.n.BitLen()
+ if n == 0 {
+ return
+ }
+
+ if n := f.fracBits - f.maxFracBits; n > 0 {
+ bit := f.n.Bit(n - 1)
+ f.n.Rsh(f.n, uint(n))
+ if bit != 0 {
+ f.n.Add(f.n, _1)
+ }
+ f.fracBits -= n
+ }
+
+ var i int
+ for ; f.fracBits > 0 && i <= f.fracBits && f.n.Bit(i) == 0; i++ {
+ f.fracBits--
+ }
+
+ if i != 0 {
+ f.n.Rsh(f.n, uint(i))
+ }
+}
+
+func (f *float) eq1() bool { return f.fracBits == 0 && f.n.BitLen() == 1 }
+func (f *float) ge2() bool { return f.n.BitLen() > f.fracBits+1 }
+
+func (f *float) div2() {
+ f.fracBits++
+ f.normalize()
+}
+
+// BinaryLog computes the binary logarithm of n. The result consists of a
+// characteristic and a mantissa having precision mantissaBits. The value of
+// the binary logarithm is
+//
+// characteristic + mantissa*(2^-mantissaBits)
+//
+// BinaryLog panics for n <= 0 or mantissaBits < 0.
+func BinaryLog(n *big.Int, mantissaBits int) (characteristic int, mantissa *big.Int) {
+ if n.Sign() <= 0 || mantissaBits < 0 {
+ panic("invalid argument of BinaryLog")
+ }
+
+ characteristic = n.BitLen() - 1
+ mantissa = big.NewInt(0)
+ x := newFloat(n, characteristic, mantissaBits)
+ for ; mantissaBits != 0 && !x.eq1(); mantissaBits-- {
+ x.sqr()
+ mantissa.Lsh(mantissa, 1)
+ if x.ge2() {
+ mantissa.SetBit(mantissa, 0, 1)
+ x.div2()
+ }
+ }
+ return characteristic, mantissa
+}