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go/src/pkg/math/logb.go
Eoghan Sherry 13c2e62966 math: handle denormals in Frexp, Ilogb, Ldexp, and Logb
Also:
* document special cases for Frexp and Ldexp
* handle ±Inf in Ldexp
* correctly return -0 on underflow in Ldexp
* test special cases for Ldexp
* test boundary cases for Frexp, Ilogb, Ldexp, and Logb

R=rsc
CC=golang-dev
https://golang.org/cl/3676041
2011-01-19 14:23:59 -05:00

55 lines
1.3 KiB
Go

// Copyright 2010 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.
package math
// Logb(x) returns the binary exponent of x.
//
// Special cases are:
// Logb(±Inf) = +Inf
// Logb(0) = -Inf
// Logb(NaN) = NaN
func Logb(x float64) float64 {
// TODO(rsc): Remove manual inlining of IsNaN, IsInf
// when compiler does it for us
// special cases
switch {
case x == 0:
return Inf(-1)
case x < -MaxFloat64 || x > MaxFloat64: // IsInf(x, 0):
return Inf(1)
case x != x: // IsNaN(x):
return x
}
return float64(ilogb(x))
}
// Ilogb(x) returns the binary exponent of x as an integer.
//
// Special cases are:
// Ilogb(±Inf) = MaxInt32
// Ilogb(0) = MinInt32
// Ilogb(NaN) = MaxInt32
func Ilogb(x float64) int {
// TODO(rsc): Remove manual inlining of IsNaN, IsInf
// when compiler does it for us
// special cases
switch {
case x == 0:
return MinInt32
case x != x: // IsNaN(x):
return MaxInt32
case x < -MaxFloat64 || x > MaxFloat64: // IsInf(x, 0):
return MaxInt32
}
return ilogb(x)
}
// logb returns the binary exponent of x. It assumes x is finite and
// non-zero.
func ilogb(x float64) int {
x, exp := normalize(x)
return int((Float64bits(x)>>shift)&mask) - bias + exp
}