all.go

package math

import (
	m "math"
)

// Sin returns the sine of the radian argument x.
//
// Special cases are:
//	Sin(±0) = ±0
//	Sin(±Inf) = NaN
//	Sin(NaN) = NaN
//func Sin(x float32) float32 { return float32(m.Sin(float64(x))) }

// Cos returns the cosine of the radian argument x.
//
// Special cases are:
//	Cos(±Inf) = NaN
//	Cos(NaN) = NaN
//func Cos(x float32) float32 { return float32(m.Cos(float64(x))) }

// Abs returns the absolute value of x.
//
// Special cases are:
//	Abs(±Inf) = +Inf
//	Abs(NaN) = NaN
//func Abs(x float32) float32 { return float32(m.Abs(float64(x))) }

// Acos returns the arccosine, in radians, of x.
//
// Special case is:
//	Acos(x) = NaN if x < -1 or x > 1
func Acos(x float32) float32 { return float32(m.Acos(float64(x))) }

// Asin returns the arcsine, in radians, of x.
//
// Special cases are:
//	Asin(±0) = ±0
//	Asin(x) = NaN if x < -1 or x > 1
func Asin(x float32) float32 { return float32(m.Asin(float64(x))) }

// Asinh returns the inverse hyperbolic sine of x.
//
// Special cases are:
//	Asinh(±0) = ±0
//	Asinh(±Inf) = ±Inf
//	Asinh(NaN) = NaN
//func Asinh(x float32) float32 { return float32(m.Asinh(float64(x))) }

// Atan returns the arctangent, in radians, of x.
//
// Special cases are:
//      Atan(±0) = ±0
//      Atan(±Inf) = ±Pi/2
func Atan(x float32) float32 { return float32(m.Atan(float64(x))) }

// 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 Atan2(y, x float32) float32 { return float32(m.Atan2(float64(y), float64(x))) }

// 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 Atanh(x float32) float32 { return float32(m.Atanh(float64(x))) }

// Cbrt returns the cube root of x.
//
// Special cases are:
//	Cbrt(±0) = ±0
//	Cbrt(±Inf) = ±Inf
//	Cbrt(NaN) = NaN
func Cbrt(x float32) float32 { return float32(m.Cbrt(float64(x))) }

// 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 Ceil(x float32) float32 { return float32(m.Ceil(float64(x))) }

// Copysign returns a value with the magnitude
// of x and the sign of y.
func Copysign(x, y float32) float32 { return float32(m.Copysign(float64(x), float64(y))) }

// Cosh returns the hyperbolic cosine of x.
//
// Special cases are:
//	Cosh(±0) = 1
//	Cosh(±Inf) = +Inf
//	Cosh(NaN) = NaN
//func Cosh(x float32) float32 { return float32(m.Cosh(float64(x))) }

// 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 Dim(x, y float32) float32 { return float32(m.Dim(float64(x), float64(y))) }

// Erf returns the error function of x.
//
// Special cases are:
//	Erf(+Inf) = 1
//	Erf(-Inf) = -1
//	Erf(NaN) = NaN
func Erf(x float32) float32 { return float32(m.Erf(float64(x))) }

// Erfc returns the complementary error function of x.
//
// Special cases are:
//	Erfc(+Inf) = 0
//	Erfc(-Inf) = 2
//	Erfc(NaN) = NaN
func Erfc(x float32) float32 { return float32(m.Erfc(float64(x))) }

// 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 Exp(x float32) float32 { return float32(m.Exp(float64(x))) }

// Exp2 returns 2**x, the base-2 exponential of x.
//
// Special cases are the same as Exp.
func Exp2(x float32) float32 { return float32(m.Exp2(float64(x))) }

// 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 Expm1(x float32) float32 { return float32(m.Expm1(float64(x))) }

// Float32bits returns the IEEE 754 binary representation of f.
func Float32bits(f float32) uint32 { return m.Float32bits(f) }

// Float32frombits returns the floating point number corresponding
// to the IEEE 754 binary representation b.
func Float32frombits(b uint32) float32 { return m.Float32frombits(b) }

// Float64bits returns the IEEE 754 binary representation of f.
func Float64bits(f float64) uint64 { return m.Float64bits(f) }

// Float64frombits returns the floating point number corresponding
// the IEEE 754 binary representation b.
func Float64frombits(b uint64) float64 { return m.Float64frombits(b) }

// Floor returns the greatest integer value less than or equal to x.
//
// Special cases are:
//	Floor(±0) = ±0
//	Floor(±Inf) = ±Inf
//	Floor(NaN) = NaN
func Floor(x float32) float32 { return float32(m.Floor(float64(x))) }

// Frexp breaks f into a normalized fraction
// and an integral power of two.
// It returns frac and exp satisfying f == frac × 2**exp,
// with the absolute value of frac in the interval [½, 1).
//
// Special cases are:
//	Frexp(±0) = ±0, 0
//	Frexp(±Inf) = ±Inf, 0
//	Frexp(NaN) = NaN, 0
func Frexp(f float32) (frac float32, exp int) {
	fr, exp := m.Frexp(float64(f))
	return float32(fr), exp
}

// Gamma returns the Gamma function of x.
//
// Special cases are:
//	Gamma(+Inf) = +Inf
//	Gamma(+0) = +Inf
//	Gamma(-0) = -Inf
//	Gamma(x) = NaN for integer x < 0
//	Gamma(-Inf) = NaN
//	Gamma(NaN) = NaN
func Gamma(x float32) float32 { return float32(m.Gamma(float64(x))) }

// Hypot returns Sqrt(p*p + q*q), taking care to avoid
// unnecessary overflow and underflow.
//
// Special cases are:
//	Hypot(±Inf, q) = +Inf
//	Hypot(p, ±Inf) = +Inf
//	Hypot(NaN, q) = NaN
//	Hypot(p, NaN) = NaN
func Hypot(p, q float32) float32 { return float32(m.Hypot(float64(p), float64(q))) }

// J0 returns the order-zero Bessel function of the first kind.
//
// Special cases are:
//	J0(±Inf) = 0
//	J0(0) = 1
//	J0(NaN) = NaN
func J0(x float32) float32 { return float32(m.J0(float64(x))) }

// J1 returns the order-one Bessel function of the first kind.
//
// Special cases are:
//	J1(±Inf) = 0
//	J1(NaN) = NaN
func J1(x float32) float32 { return float32(m.J1(float64(x))) }

// Jn returns the order-n Bessel function of the first kind.
//
// Special cases are:
//	Jn(n, ±Inf) = 0
//	Jn(n, NaN) = NaN
func Jn(n int, x float32) float32 { return float32(m.Jn(n, float64(x))) }

// Ldexp is the inverse of Frexp.
// It returns frac × 2**exp.
//
// Special cases are:
//	Ldexp(±0, exp) = ±0
//	Ldexp(±Inf, exp) = ±Inf
//	Ldexp(NaN, exp) = NaN
func Ldexp(frac float32, exp int) float32 { return float32(m.Ldexp(float64(frac), exp)) }

// Lgamma returns the natural logarithm and sign (-1 or +1) of Gamma(x).
//
// Special cases are:
//	Lgamma(+Inf) = +Inf
//	Lgamma(0) = +Inf
//	Lgamma(-integer) = +Inf
//	Lgamma(-Inf) = -Inf
//	Lgamma(NaN) = NaN
func Lgamma(x float32) (lgamma float32, sign int) {
	l, sign := m.Lgamma(float64(x))
	return float32(l), sign
}

// Log returns the natural logarithm of x.
//
// Special cases are:
//	Log(+Inf) = +Inf
//	Log(0) = -Inf
//	Log(x < 0) = NaN
//	Log(NaN) = NaN
func Log(x float32) float32 { return float32(m.Log(float64(x))) }

// Log10 returns the decimal logarithm of x.
// The special cases are the same as for Log.
func Log10(x float32) float32 { return float32(m.Log10(float64(x))) }

// Log1p returns the natural logarithm of 1 plus its argument x.
// It is more accurate than Log(1 + x) when x is near zero.
//
// Special cases are:
//	Log1p(+Inf) = +Inf
//	Log1p(±0) = ±0
//	Log1p(-1) = -Inf
//	Log1p(x < -1) = NaN
//	Log1p(NaN) = NaN
func Log1p(x float32) float32 { return float32(m.Log1p(float64(x))) }

// Log2 returns the binary logarithm of x.
// The special cases are the same as for Log.
func Log2(x float32) float32 { return float32(m.Log2(float64(x))) }

// Max returns the larger of x or y.
//
// Special cases are:
//	Max(x, +Inf) = Max(+Inf, x) = +Inf
//	Max(x, NaN) = Max(NaN, x) = NaN
//	Max(+0, ±0) = Max(±0, +0) = +0
//	Max(-0, -0) = -0
func Max(x, y float32) float32 { return float32(m.Max(float64(x), float64(y))) }

// Min returns the smaller of x or y.
//
// Special cases are:
//	Min(x, -Inf) = Min(-Inf, x) = -Inf
//	Min(x, NaN) = Min(NaN, x) = NaN
//	Min(-0, ±0) = Min(±0, -0) = -0
func Min(x, y float32) float32 { return float32(m.Min(float64(x), float64(y))) }

// Mod returns the floating-point remainder of x/y.
// The magnitude of the result is less than y and its
// sign agrees with that of x.
//
// Special cases are:
//	Mod(±Inf, y) = NaN
//	Mod(NaN, y) = NaN
//	Mod(x, 0) = NaN
//	Mod(x, ±Inf) = x
//	Mod(x, NaN) = NaN
func Mod(x, y float32) float32 { return float32(m.Mod(float64(x), float64(y))) }

// Modf returns integer and fractional floating-point numbers
// that sum to f.  Both values have the same sign as f.
//
// Special cases are:
//	Modf(±Inf) = ±Inf, NaN
//	Modf(NaN) = NaN, NaN
func Modf(f float32) (int float32, frac float32) {
	i, fr := m.Modf(float64(f))
	return float32(i), float32(fr)
}

// Nextafter64 returns the next representable float64 value after x towards y.
//
// Special cases are:
//	Nextafter(x, x)   = x
//	Nextafter(NaN, y) = NaN
//	Nextafter(x, NaN) = NaN
//func Nextafter64(x, y float64) (r float64) { return m.Nextafter(x, y) }

// Nextafter returns the next representable float32 value after x towards y.
//
// Special cases are:
//	Nextafter32(x, x)   = x
//	Nextafter32(NaN, y) = NaN
//	Nextafter32(x, NaN) = NaN
//func Nextafter(x, y float32) (r float32) { return m.Nextafter32(x, y) }

// Pow returns x**y, the base-x exponential of y.
//
// Special cases are (in order):
//	Pow(x, ±0) = 1 for any x
//	Pow(1, y) = 1 for any y
//	Pow(x, 1) = x for any x
//	Pow(NaN, y) = NaN
//	Pow(x, NaN) = NaN
//	Pow(±0, y) = ±Inf for y an odd integer < 0
//	Pow(±0, -Inf) = +Inf
//	Pow(±0, +Inf) = +0
//	Pow(±0, y) = +Inf for finite y < 0 and not an odd integer
//	Pow(±0, y) = ±0 for y an odd integer > 0
//	Pow(±0, y) = +0 for finite y > 0 and not an odd integer
//	Pow(-1, ±Inf) = 1
//	Pow(x, +Inf) = +Inf for |x| > 1
//	Pow(x, -Inf) = +0 for |x| > 1
//	Pow(x, +Inf) = +0 for |x| < 1
//	Pow(x, -Inf) = +Inf for |x| < 1
//	Pow(+Inf, y) = +Inf for y > 0
//	Pow(+Inf, y) = +0 for y < 0
//	Pow(-Inf, y) = Pow(-0, -y)
//	Pow(x, y) = NaN for finite x < 0 and finite non-integer y
//func Pow(x, y float32) float32 { return float32(m.Pow(float64(x), float64(y))) }

// Pow10 returns 10**e, the base-10 exponential of e.
//
// Special cases are:
//	Pow10(e) = +Inf for e > 309
//	Pow10(e) = 0 for e < -324
//func Pow10(e int) float32 { return float32(m.Pow10(e)) }

// Remainder returns the IEEE 754 floating-point remainder of x/y.
//
// Special cases are:
//	Remainder(±Inf, y) = NaN
//	Remainder(NaN, y) = NaN
//	Remainder(x, 0) = NaN
//	Remainder(x, ±Inf) = x
//	Remainder(x, NaN) = NaN
func Remainder(x, y float32) float32 { return float32(m.Remainder(float64(x), float64(y))) }

// Signbit returns true if x is negative or negative zero.
//func Signbit(x float32) bool { return m.Signbit(float64(x)) }

// Sincos returns Sin(x), Cos(x).
//
// Special cases are:
//	Sincos(±0) = ±0, 1
//	Sincos(±Inf) = NaN, NaN
//	Sincos(NaN) = NaN, NaN
func Sincos(x float32) (sin, cos float32) {
	s, c := m.Sincos(float64(x))
	return float32(s), float32(c)
}

// Sinh returns the hyperbolic sine of x.
//
// Special cases are:
//	Sinh(±0) = ±0
//	Sinh(±Inf) = ±Inf
//	Sinh(NaN) = NaN
//func Sinh(x float32) float32 { return float32(m.Sinh(float64(x))) }

// Tan returns the tangent of the radian argument x.
//
// Special cases are:
//	Tan(±0) = ±0
//	Tan(±Inf) = NaN
//	Tan(NaN) = NaN
func Tan(x float32) float32 { return float32(m.Tan(float64(x))) }

// Tanh returns the hyperbolic tangent of x.
//
// Special cases are:
//	Tanh(±0) = ±0
//	Tanh(±Inf) = ±1
//	Tanh(NaN) = NaN
//func Tanh(x float32) float32 { return float32(m.Tanh(float64(x))) }

// Trunc returns the integer value of x.
//
// Special cases are:
//	Trunc(±0) = ±0
//	Trunc(±Inf) = ±Inf
//	Trunc(NaN) = NaN
func Trunc(x float32) float32 { return float32(m.Trunc(float64(x))) }

// Y0 returns the order-zero Bessel function of the second kind.
//
// Special cases are:
//	Y0(+Inf) = 0
//	Y0(0) = -Inf
//	Y0(x < 0) = NaN
//	Y0(NaN) = NaN
func Y0(x float32) float32 { return float32(m.Y0(float64(x))) }

// Y1 returns the order-one Bessel function of the second kind.
//
// Special cases are:
//	Y1(+Inf) = 0
//	Y1(0) = -Inf
//	Y1(x < 0) = NaN
//	Y1(NaN) = NaN
func Y1(x float32) float32 { return float32(m.Y1(float64(x))) }

// Yn returns the order-n Bessel function of the second kind.
//
// Special cases are:
//	Yn(n, +Inf) = 0
//	Yn(n > 0, 0) = -Inf
//	Yn(n < 0, 0) = +Inf if n is odd, -Inf if n is even
//	Y1(n, x < 0) = NaN
//	Y1(n, NaN) = NaN
func Yn(n int, x float32) float32 { return float32(m.Yn(n, float64(x))) }