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# Source file src/math/sinh.go

## Documentation: math

```  // Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style

package math

/*
Floating-point hyperbolic sine and cosine.

The exponential func is called for arguments
greater in magnitude than 0.5.

A series is used for arguments smaller in magnitude than 0.5.

Cosh(x) is computed from the exponential func for
all arguments.
*/

// Sinh returns the hyperbolic sine of x.
//
// Special cases are:
//	Sinh(±0) = ±0
//	Sinh(±Inf) = ±Inf
//	Sinh(NaN) = NaN
func Sinh(x float64) float64

func sinh(x float64) float64 {
// The coefficients are #2029 from Hart & Cheney. (20.36D)
const (
P0 = -0.6307673640497716991184787251e+6
P1 = -0.8991272022039509355398013511e+5
P2 = -0.2894211355989563807284660366e+4
P3 = -0.2630563213397497062819489e+2
Q0 = -0.6307673640497716991212077277e+6
Q1 = 0.1521517378790019070696485176e+5
Q2 = -0.173678953558233699533450911e+3
)

sign := false
if x < 0 {
x = -x
sign = true
}

var temp float64
switch true {
case x > 21:
temp = Exp(x) / 2

case x > 0.5:
temp = (Exp(x) - Exp(-x)) / 2

default:
sq := x * x
temp = (((P3*sq+P2)*sq+P1)*sq + P0) * x
temp = temp / (((sq+Q2)*sq+Q1)*sq + Q0)
}

if sign {
temp = -temp
}
return temp
}

// Cosh returns the hyperbolic cosine of x.
//
// Special cases are:
//	Cosh(±0) = 1
//	Cosh(±Inf) = +Inf
//	Cosh(NaN) = NaN
func Cosh(x float64) float64

func cosh(x float64) float64 {
if x < 0 {
x = -x
}
if x > 21 {
return Exp(x) / 2
}
return (Exp(x) + Exp(-x)) / 2
}

```

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