2009-01-15 16:16:42 -08:00
|
|
|
// 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.
|
|
|
|
|
|
2009-03-05 13:31:01 -08:00
|
|
|
// The math package provides basic constants and mathematical functions.
|
2009-01-15 16:16:42 -08:00
|
|
|
package math
|
|
|
|
|
|
2009-03-05 13:31:01 -08:00
|
|
|
// Mathematical constants.
|
|
|
|
|
// Reference: http://www.research.att.com/~njas/sequences/Axxxxxx
|
2009-01-20 14:40:40 -08:00
|
|
|
const (
|
2009-10-06 19:40:35 -07:00
|
|
|
E = 2.71828182845904523536028747135266249775724709369995957496696763; // A001113
|
|
|
|
|
Pi = 3.14159265358979323846264338327950288419716939937510582097494459; // A000796
|
|
|
|
|
Phi = 1.61803398874989484820458683436563811772030917980576286213544862; // A001622
|
2009-01-15 19:11:32 -08:00
|
|
|
|
2009-10-06 19:40:35 -07:00
|
|
|
Sqrt2 = 1.41421356237309504880168872420969807856967187537694807317667974; // A002193
|
|
|
|
|
SqrtE = 1.64872127070012814684865078781416357165377610071014801157507931; // A019774
|
|
|
|
|
SqrtPi = 1.77245385090551602729816748334114518279754945612238712821380779; // A002161
|
|
|
|
|
SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038; // A139339
|
2009-01-15 19:11:32 -08:00
|
|
|
|
2009-10-06 19:40:35 -07:00
|
|
|
Ln2 = 0.693147180559945309417232121458176568075500134360255254120680009; // A002162
|
2009-01-15 19:11:32 -08:00
|
|
|
Log2E = 1/Ln2;
|
2009-10-06 19:40:35 -07:00
|
|
|
Ln10 = 2.30258509299404568401799145468436420760110148862877297603332790; // A002392
|
2009-01-15 19:11:32 -08:00
|
|
|
Log10E = 1/Ln10;
|
2009-07-28 12:57:33 -07:00
|
|
|
)
|
2009-07-28 11:53:16 -07:00
|
|
|
|
2009-07-28 14:50:50 -07:00
|
|
|
// Floating-point limit values.
|
|
|
|
|
// Max is the largest finite value representable by the type.
|
|
|
|
|
// Min is the smallest nonzero value representable by the type.
|
2009-07-28 12:57:33 -07:00
|
|
|
const (
|
2009-10-06 19:40:35 -07:00
|
|
|
MaxFloat32 = 3.40282346638528859811704183484516925440e+38; /* 2^127 * (2^24 - 1) / 2^23 */
|
|
|
|
|
MinFloat32 = 1.401298464324817070923729583289916131280e-45; /* 1 / 2^(127 - 1 + 23) */
|
2009-07-28 12:57:33 -07:00
|
|
|
|
2009-10-06 19:40:35 -07:00
|
|
|
MaxFloat64 = 1.797693134862315708145274237317043567981e+308; /* 2^1023 * (2^53 - 1) / 2^52 */
|
|
|
|
|
MinFloat64 = 4.940656458412465441765687928682213723651e-324; /* 1 / 2^(1023 - 1 + 52) */
|
2009-07-28 14:50:50 -07:00
|
|
|
)
|
|
|
|
|
|
|
|
|
|
// Integer limit values.
|
|
|
|
|
const (
|
2009-10-06 19:40:35 -07:00
|
|
|
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;
|
2009-01-15 16:16:42 -08:00
|
|
|
)
|
2009-03-05 13:31:01 -08:00
|
|
|
|
|
|
|
|
// BUG(rsc): The manual should define the special cases for all of these functions.
|