Gecko [ 167.86.127.34 ]

Name	Size	Permission
big	[ DIR ]	drwxr-xr-x
bits	[ DIR ]	drwxr-xr-x
cmplx	[ DIR ]	drwxr-xr-x
rand	[ DIR ]	drwxr-xr-x
abs.go	363 B	-rw-r--r--
acos_s390x.s	3.73 KB	-rw-r--r--
acosh.go	1.72 KB	-rw-r--r--
acosh_s390x.s	4.32 KB	-rw-r--r--
all_test.go	84.21 KB	-rw-r--r--
arith_s390x.go	2.01 KB	-rw-r--r--
arith_s390x_test.go	10.78 KB	-rw-r--r--
asin.go	983 B	-rw-r--r--
asin_386.s	1.09 KB	-rw-r--r--
asin_s390x.s	4.16 KB	-rw-r--r--
asinh.go	1.85 KB	-rw-r--r--
asinh_s390x.s	5.74 KB	-rw-r--r--
atan.go	2.97 KB	-rw-r--r--
atan2.go	1.45 KB	-rw-r--r--
atan2_386.s	396 B	-rw-r--r--
atan2_s390x.s	6.88 KB	-rw-r--r--
atan_386.s	376 B	-rw-r--r--
atan_s390x.s	3.69 KB	-rw-r--r--
atanh.go	1.93 KB	-rw-r--r--
atanh_s390x.s	5.36 KB	-rw-r--r--
bits.go	1.87 KB	-rw-r--r--
cbrt.go	2.25 KB	-rw-r--r--
cbrt_s390x.s	4.89 KB	-rw-r--r--
const.go	2.18 KB	-rw-r--r--
copysign.go	378 B	-rw-r--r--
cosh_s390x.s	5.59 KB	-rw-r--r--
dim.go	1.55 KB	-rw-r--r--
dim_amd64.s	1.9 KB	-rw-r--r--
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erf.go	11.38 KB	-rw-r--r--
erf_s390x.s	8.5 KB	-rw-r--r--
erfc_s390x.s	14.4 KB	-rw-r--r--
erfinv.go	3.36 KB	-rw-r--r--
example_test.go	3.33 KB	-rw-r--r--
exp.go	5.25 KB	-rw-r--r--
exp2_386.s	1.12 KB	-rw-r--r--
exp_amd64.s	4.23 KB	-rw-r--r--
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exp_asm.go	260 B	-rw-r--r--
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expm1.go	7.84 KB	-rw-r--r--
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expm1_s390x.s	5.29 KB	-rw-r--r--
export_s390x_test.go	732 B	-rw-r--r--
export_test.go	357 B	-rw-r--r--
floor.go	3.09 KB	-rw-r--r--
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floor_wasm.s	447 B	-rw-r--r--
fma.go	4.49 KB	-rw-r--r--
frexp.go	860 B	-rw-r--r--
frexp_386.s	689 B	-rw-r--r--
gamma.go	5.52 KB	-rw-r--r--
huge_test.go	2.24 KB	-rw-r--r--
hypot.go	773 B	-rw-r--r--
hypot_386.s	1.8 KB	-rw-r--r--
hypot_amd64.s	1.05 KB	-rw-r--r--
j0.go	13.6 KB	-rw-r--r--
j1.go	13.3 KB	-rw-r--r--
jn.go	7.17 KB	-rw-r--r--
ldexp.go	990 B	-rw-r--r--
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lgamma.go	11.02 KB	-rw-r--r--
log.go	3.8 KB	-rw-r--r--
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log10_s390x.s	4.73 KB	-rw-r--r--
log1p.go	6.3 KB	-rw-r--r--
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log1p_s390x.s	5.15 KB	-rw-r--r--
log_386.s	394 B	-rw-r--r--
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modf.go	847 B	-rw-r--r--
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nextafter.go	1.2 KB	-rw-r--r--
pow.go	3.16 KB	-rw-r--r--
pow10.go	1.24 KB	-rw-r--r--
pow_s390x.s	16.27 KB	-rw-r--r--
remainder.go	1.96 KB	-rw-r--r--
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signbit.go	302 B	-rw-r--r--
sin.go	6.23 KB	-rw-r--r--
sin_s390x.s	8.34 KB	-rw-r--r--
sincos.go	1.75 KB	-rw-r--r--
sinh.go	1.56 KB	-rw-r--r--
sinh_s390x.s	5.98 KB	-rw-r--r--
sqrt.go	4.84 KB	-rw-r--r--
sqrt_386.s	296 B	-rw-r--r--
sqrt_amd64.s	326 B	-rw-r--r--
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stubs_wasm.s	1.63 KB	-rw-r--r--
tan.go	3.61 KB	-rw-r--r--
tan_s390x.s	2.73 KB	-rw-r--r--
tanh.go	2.59 KB	-rw-r--r--
tanh_s390x.s	4.57 KB	-rw-r--r--
trig_reduce.go	2.94 KB	-rw-r--r--
unsafe.go	1.27 KB	-rw-r--r--

Code Editor : sin.go

// Copyright 2011 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

/*
	Floating-point sine and cosine.
*/

// The original C code, the long comment, and the constants
// below were from http://netlib.sandia.gov/cephes/cmath/sin.c,
// available from http://www.netlib.org/cephes/cmath.tgz.
// The go code is a simplified version of the original C.
//
//      sin.c
//
//      Circular sine
//
// SYNOPSIS:
//
// double x, y, sin();
// y = sin( x );
//
// DESCRIPTION:
//
// Range reduction is into intervals of pi/4.  The reduction error is nearly
// eliminated by contriving an extended precision modular arithmetic.
//
// Two polynomial approximating functions are employed.
// Between 0 and pi/4 the sine is approximated by
//      x  +  x**3 P(x**2).
// Between pi/4 and pi/2 the cosine is represented as
//      1  -  x**2 Q(x**2).
//
// ACCURACY:
//
//                      Relative error:
// arithmetic   domain      # trials      peak         rms
//    DEC       0, 10       150000       3.0e-17     7.8e-18
//    IEEE -1.07e9,+1.07e9  130000       2.1e-16     5.4e-17
//
// Partial loss of accuracy begins to occur at x = 2**30 = 1.074e9.  The loss
// is not gradual, but jumps suddenly to about 1 part in 10e7.  Results may
// be meaningless for x > 2**49 = 5.6e14.
//
//      cos.c
//
//      Circular cosine
//
// SYNOPSIS:
//
// double x, y, cos();
// y = cos( x );
//
// DESCRIPTION:
//
// Range reduction is into intervals of pi/4.  The reduction error is nearly
// eliminated by contriving an extended precision modular arithmetic.
//
// Two polynomial approximating functions are employed.
// Between 0 and pi/4 the cosine is approximated by
//      1  -  x**2 Q(x**2).
// Between pi/4 and pi/2 the sine is represented as
//      x  +  x**3 P(x**2).
//
// ACCURACY:
//
//                      Relative error:
// arithmetic   domain      # trials      peak         rms
//    IEEE -1.07e9,+1.07e9  130000       2.1e-16     5.4e-17
//    DEC        0,+1.07e9   17000       3.0e-17     7.2e-18
//
// Cephes Math Library Release 2.8:  June, 2000
// Copyright 1984, 1987, 1989, 1992, 2000 by Stephen L. Moshier
//
// The readme file at http://netlib.sandia.gov/cephes/ says:
//    Some software in this archive may be from the book _Methods and
// Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster
// International, 1989) or from the Cephes Mathematical Library, a
// commercial product. In either event, it is copyrighted by the author.
// What you see here may be used freely but it comes with no support or
// guarantee.
//
//   The two known misprints in the book are repaired here in the
// source listings for the gamma function and the incomplete beta
// integral.
//
//   Stephen L. Moshier
//   moshier@na-net.ornl.gov

// sin coefficients
var _sin = [...]float64{
	1.58962301576546568060e-10, // 0x3de5d8fd1fd19ccd
	-2.50507477628578072866e-8, // 0xbe5ae5e5a9291f5d
	2.75573136213857245213e-6,  // 0x3ec71de3567d48a1
	-1.98412698295895385996e-4, // 0xbf2a01a019bfdf03
	8.33333333332211858878e-3,  // 0x3f8111111110f7d0
	-1.66666666666666307295e-1, // 0xbfc5555555555548
}

// cos coefficients
var _cos = [...]float64{
	-1.13585365213876817300e-11, // 0xbda8fa49a0861a9b
	2.08757008419747316778e-9,   // 0x3e21ee9d7b4e3f05
	-2.75573141792967388112e-7,  // 0xbe927e4f7eac4bc6
	2.48015872888517045348e-5,   // 0x3efa01a019c844f5
	-1.38888888888730564116e-3,  // 0xbf56c16c16c14f91
	4.16666666666665929218e-2,   // 0x3fa555555555554b
}

// Cos returns the cosine of the radian argument x.
//
// Special cases are:
//	Cos(±Inf) = NaN
//	Cos(NaN) = NaN
func Cos(x float64) float64

func cos(x float64) float64 {
	const (
		PI4A = 7.85398125648498535156e-1  // 0x3fe921fb40000000, Pi/4 split into three parts
		PI4B = 3.77489470793079817668e-8  // 0x3e64442d00000000,
		PI4C = 2.69515142907905952645e-15 // 0x3ce8469898cc5170,
	)
	// special cases
	switch {
	case IsNaN(x) || IsInf(x, 0):
		return NaN()
	}

// make argument positive
	sign := false
	x = Abs(x)

var j uint64
	var y, z float64
	if x >= reduceThreshold {
		j, z = trigReduce(x)
	} else {
		j = uint64(x * (4 / Pi)) // integer part of x/(Pi/4), as integer for tests on the phase angle
		y = float64(j)           // integer part of x/(Pi/4), as float

// map zeros to origin
		if j&1 == 1 {
			j++
			y++
		}
		j &= 7                               // octant modulo 2Pi radians (360 degrees)
		z = ((x - y*PI4A) - y*PI4B) - y*PI4C // Extended precision modular arithmetic
	}

if j > 3 {
		j -= 4
		sign = !sign
	}
	if j > 1 {
		sign = !sign
	}

zz := z * z
	if j == 1 || j == 2 {
		y = z + z*zz*((((((_sin[0]*zz)+_sin[1])*zz+_sin[2])*zz+_sin[3])*zz+_sin[4])*zz+_sin[5])
	} else {
		y = 1.0 - 0.5*zz + zz*zz*((((((_cos[0]*zz)+_cos[1])*zz+_cos[2])*zz+_cos[3])*zz+_cos[4])*zz+_cos[5])
	}
	if sign {
		y = -y
	}
	return y
}

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

func sin(x float64) float64 {
	const (
		PI4A = 7.85398125648498535156e-1  // 0x3fe921fb40000000, Pi/4 split into three parts
		PI4B = 3.77489470793079817668e-8  // 0x3e64442d00000000,
		PI4C = 2.69515142907905952645e-15 // 0x3ce8469898cc5170,
	)
	// special cases
	switch {
	case x == 0 || IsNaN(x):
		return x // return ±0 || NaN()
	case IsInf(x, 0):
		return NaN()
	}

// make argument positive but save the sign
	sign := false
	if x < 0 {
		x = -x
		sign = true
	}

// map zeros to origin
		if j&1 == 1 {
			j++
			y++
		}
		j &= 7                               // octant modulo 2Pi radians (360 degrees)
		z = ((x - y*PI4A) - y*PI4B) - y*PI4C // Extended precision modular arithmetic
	}
	// reflect in x axis
	if j > 3 {
		sign = !sign
		j -= 4
	}
	zz := z * z
	if j == 1 || j == 2 {
		y = 1.0 - 0.5*zz + zz*zz*((((((_cos[0]*zz)+_cos[1])*zz+_cos[2])*zz+_cos[3])*zz+_cos[4])*zz+_cos[5])
	} else {
		y = z + z*zz*((((((_sin[0]*zz)+_sin[1])*zz+_sin[2])*zz+_sin[3])*zz+_sin[4])*zz+_sin[5])
	}
	if sign {
		y = -y
	}
	return y
}

${this.title}

Code Editor : sin.go