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Diffstat (limited to 'src/lib/math/sinh.go')
-rw-r--r-- | src/lib/math/sinh.go | 75 |
1 files changed, 75 insertions, 0 deletions
diff --git a/src/lib/math/sinh.go b/src/lib/math/sinh.go new file mode 100644 index 000000000..a26031ba5 --- /dev/null +++ b/src/lib/math/sinh.go @@ -0,0 +1,75 @@ +// Copyright 2009 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 sinh + +import exp "exp" +export sinh, cosh + +/* + sinh(arg) returns the hyperbolic sine of its floating- + point argument. + + 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. + The coefficients are #2029 from Hart & Cheney. (20.36D) + + cosh(arg) is computed from the exponential func for + all arguments. + */ + +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; +) + +func +sinh(arg double) double +{ + var temp, argsq double; + var sign bool; + + sign = false; + if arg < 0 { + arg = -arg; + sign = true; + } + switch true { + case arg > 21: + temp = exp.exp(arg)/2; + + case arg > 0.5: + temp = (exp.exp(arg) - exp.exp(-arg))/2; + + default: + argsq = arg*arg; + temp = (((p3*argsq+p2)*argsq+p1)*argsq+p0)*arg; + temp = temp/(((argsq+q2)*argsq+q1)*argsq+q0); + } + + if sign { + temp = -temp; + } + return temp; +} + +func +cosh(arg double) double +{ + if arg < 0 { + arg = - arg; + } + if arg > 21 { + return exp.exp(arg)/2; + } + return (exp.exp(arg) + exp.exp(-arg))/2; +} |