Documentation
¶
Overview ¶
Package math provides basic constants and mathematical functions.
This package does not guarantee bit-identical results across architectures.
Index ¶
- Constants
- func Abs(x float64) float64
- func Acos(x float64) float64
- func Acosh(x float64) float64
- func Asin(x float64) float64
- func Asinh(x float64) float64
- func Atan(x float64) float64
- func Atan2(y, x float64) float64
- func Atanh(x float64) float64
- func Cbrt(x float64) float64
- func Ceil(x float64) float64
- func Copysign(x, y float64) float64
- func Cos(x float64) float64
- func Cosh(x float64) float64
- func Dim(x, y float64) float64
- func Erf(x float64) float64
- func Erfc(x float64) float64
- func Exp(x float64) float64
- func Exp2(x float64) float64
- func Expm1(x float64) float64
- func Float32bits(f float32) uint32
- func Float32frombits(b uint32) float32
- func Float64bits(f float64) uint64
- func Float64frombits(b uint64) float64
- func Floor(x float64) float64
- func Frexp(f float64) (frac float64, exp int)
- func Gamma(x float64) float64
- func Hypot(p, q float64) float64
- func Ilogb(x float64) int
- func Inf(sign int) float64
- func IsInf(f float64, sign int) bool
- func IsNaN(f float64) (is bool)
- func J0(x float64) float64
- func J1(x float64) float64
- func Jn(n int, x float64) float64
- func Ldexp(frac float64, exp int) float64
- func Lgamma(x float64) (lgamma float64, sign int)
- func Log(x float64) float64
- func Log1p(x float64) float64
- func Log2(x float64) float64
- func Log10(x float64) float64
- func Logb(x float64) float64
- func Max(x, y float64) float64
- func Min(x, y float64) float64
- func Mod(x, y float64) float64
- func Modf(f float64) (int float64, frac float64)
- func NaN() float64
- func Nextafter(x, y float64) (r float64)
- func Nextafter32(x, y float32) (r float32)
- func Pow(x, y float64) float64
- func Pow10(n int) float64
- func Remainder(x, y float64) float64
- func Signbit(x float64) bool
- func Sin(x float64) float64
- func Sincos(x float64) (sin, cos float64)
- func Sinh(x float64) float64
- func Sqrt(x float64) float64
- func Tan(x float64) float64
- func Tanh(x float64) float64
- func Trunc(x float64) float64
- func Y0(x float64) float64
- func Y1(x float64) float64
- func Yn(n int, x float64) float64
Constants ¶
const ( E = 2.71828182845904523536028747135266249775724709369995957496696763 // http://oeis.org/A001113 Pi = 3.14159265358979323846264338327950288419716939937510582097494459 // http://oeis.org/A000796 Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // http://oeis.org/A001622 Sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974 // http://oeis.org/A002193 SqrtE = 1.64872127070012814684865078781416357165377610071014801157507931 // http://oeis.org/A019774 SqrtPi = 1.77245385090551602729816748334114518279754945612238712821380779 // http://oeis.org/A002161 SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // http://oeis.org/A139339 Ln2 = 0.693147180559945309417232121458176568075500134360255254120680009 // http://oeis.org/A002162 Log2E = 1 / Ln2 Ln10 = 2.30258509299404568401799145468436420760110148862877297603332790 // http://oeis.org/A002392 Log10E = 1 / Ln10 )
Mathematical constants.
const ( MaxFloat32 = 3.40282346638528859811704183484516925440e+38 // 2**127 * (2**24 - 1) / 2**23 SmallestNonzeroFloat32 = 1.401298464324817070923729583289916131280e-45 // 1 / 2**(127 - 1 + 23) MaxFloat64 = 1.797693134862315708145274237317043567981e+308 // 2**1023 * (2**53 - 1) / 2**52 SmallestNonzeroFloat64 = 4.940656458412465441765687928682213723651e-324 // 1 / 2**(1023 - 1 + 52) )
Floating-point limit values. Max is the largest finite value representable by the type. SmallestNonzero is the smallest positive, non-zero value representable by the type.
const ( MaxInt8 = 1<<7 - 1 MinInt8 = -1 << 7 MaxInt16 = 1<<15 - 1 MinInt16 = -1 << 15 MaxInt32 = 1<<31 - 1 MinInt32 = -1 << 31 MaxInt64 = 1<<63 - 1 MinInt64 = -1 << 63 MaxUint8 = 1<<8 - 1 MaxUint16 = 1<<16 - 1 MaxUint32 = 1<<32 - 1 MaxUint64 = 1<<64 - 1 )
Integer limit values.
Variables ¶
This section is empty.
Functions ¶
func Acos ¶
Acos returns the arccosine, in radians, of x.
Special case is:
Acos(x) = NaN if x < -1 or x > 1
func Acosh ¶
Acosh returns the inverse hyperbolic cosine of x.
Special cases are:
Acosh(+Inf) = +Inf Acosh(x) = NaN if x < 1 Acosh(NaN) = NaN
func Asin ¶
Asin returns the arcsine, in radians, of x.
Special cases are:
Asin(±0) = ±0 Asin(x) = NaN if x < -1 or x > 1
func Asinh ¶
Asinh returns the inverse hyperbolic sine of x.
Special cases are:
Asinh(±0) = ±0 Asinh(±Inf) = ±Inf Asinh(NaN) = NaN
func Atan ¶
Atan returns the arctangent, in radians, of x.
Special cases are:
Atan(±0) = ±0 Atan(±Inf) = ±Pi/2
func Atan2 ¶
Atan2 returns the arc tangent of y/x, using the signs of the two to determine the quadrant of the return value.
Special cases are (in order):
Atan2(y, NaN) = NaN Atan2(NaN, x) = NaN Atan2(+0, x>=0) = +0 Atan2(-0, x>=0) = -0 Atan2(+0, x<=-0) = +Pi Atan2(-0, x<=-0) = -Pi Atan2(y>0, 0) = +Pi/2 Atan2(y<0, 0) = -Pi/2 Atan2(+Inf, +Inf) = +Pi/4 Atan2(-Inf, +Inf) = -Pi/4 Atan2(+Inf, -Inf) = 3Pi/4 Atan2(-Inf, -Inf) = -3Pi/4 Atan2(y, +Inf) = 0 Atan2(y>0, -Inf) = +Pi Atan2(y<0, -Inf) = -Pi Atan2(+Inf, x) = +Pi/2 Atan2(-Inf, x) = -Pi/2
func Atanh ¶
Atanh returns the inverse hyperbolic tangent of x.
Special cases are:
Atanh(1) = +Inf Atanh(±0) = ±0 Atanh(-1) = -Inf Atanh(x) = NaN if x < -1 or x > 1 Atanh(NaN) = NaN
func Cbrt ¶
Cbrt returns the cube root of x.
Special cases are:
Cbrt(±0) = ±0 Cbrt(±Inf) = ±Inf Cbrt(NaN) = NaN
func Ceil ¶
Ceil returns the least integer value greater than or equal to x.
Special cases are:
Ceil(±0) = ±0 Ceil(±Inf) = ±Inf Ceil(NaN) = NaN
func Cos ¶
Cos returns the cosine of the radian argument x.
Special cases are:
Cos(±Inf) = NaN Cos(NaN) = NaN
func Cosh ¶
Cosh returns the hyperbolic cosine of x.
Special cases are:
Cosh(±0) = 1 Cosh(±Inf) = +Inf Cosh(NaN) = NaN
func Dim ¶
Dim returns the maximum of x-y or 0.
Special cases are:
Dim(+Inf, +Inf) = NaN Dim(-Inf, -Inf) = NaN Dim(x, NaN) = Dim(NaN, x) = NaN
func Erf ¶
Erf returns the error function of x.
Special cases are:
Erf(+Inf) = 1 Erf(-Inf) = -1 Erf(NaN) = NaN
func Erfc ¶
Erfc returns the complementary error function of x.
Special cases are:
Erfc(+Inf) = 0 Erfc(-Inf) = 2 Erfc(NaN) = NaN
func Exp ¶
Exp returns e**x, the base-e exponential of x.
Special cases are:
Exp(+Inf) = +Inf Exp(NaN) = NaN
Very large values overflow to 0 or +Inf. Very small values underflow to 1.
func Expm1 ¶
Expm1 returns e**x - 1, the base-e exponential of x minus 1. It is more accurate than Exp(x) - 1 when x is near zero.
Special cases are:
Expm1(+Inf) = +Inf Expm1(-Inf) = -1 Expm1(NaN) = NaN
Very large values overflow to -1 or +Inf.
func Float32bits ¶
Float32bits returns the IEEE 754 binary representation of f.
func Float32frombits ¶
Float32frombits returns the floating point number corresponding to the IEEE 754 binary representation b.
func Float64bits ¶
Float64bits returns the IEEE 754 binary representation of f.
func Float64frombits ¶
Float64frombits returns the floating point number corresponding the IEEE 754 binary representation b.
func Floor ¶
Floor returns the greatest integer value less than or equal to x.
Special cases are:
Floor(±0) = ±0 Floor(±Inf) = ±Inf Floor(NaN) = NaN