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Source file src/math/const.go

Documentation: math

		 1  // Copyright 2009 The Go Authors. All rights reserved.
		 2  // Use of this source code is governed by a BSD-style
		 3  // license that can be found in the LICENSE file.
		 4  
		 5  // Package math provides basic constants and mathematical functions.
		 6  //
		 7  // This package does not guarantee bit-identical results across architectures.
		 8  package math
		 9  
		10  // Mathematical constants.
		11  const (
		12  	E	 = 2.71828182845904523536028747135266249775724709369995957496696763 // https://oeis.org/A001113
		13  	Pi	= 3.14159265358979323846264338327950288419716939937510582097494459 // https://oeis.org/A000796
		14  	Phi = 1.61803398874989484820458683436563811772030917980576286213544862 // https://oeis.org/A001622
		15  
		16  	Sqrt2	 = 1.41421356237309504880168872420969807856967187537694807317667974 // https://oeis.org/A002193
		17  	SqrtE	 = 1.64872127070012814684865078781416357165377610071014801157507931 // https://oeis.org/A019774
		18  	SqrtPi	= 1.77245385090551602729816748334114518279754945612238712821380779 // https://oeis.org/A002161
		19  	SqrtPhi = 1.27201964951406896425242246173749149171560804184009624861664038 // https://oeis.org/A139339
		20  
		21  	Ln2		= 0.693147180559945309417232121458176568075500134360255254120680009 // https://oeis.org/A002162
		22  	Log2E	= 1 / Ln2
		23  	Ln10	 = 2.30258509299404568401799145468436420760110148862877297603332790 // https://oeis.org/A002392
		24  	Log10E = 1 / Ln10
		25  )
		26  
		27  // Floating-point limit values.
		28  // Max is the largest finite value representable by the type.
		29  // SmallestNonzero is the smallest positive, non-zero value representable by the type.
		30  const (
		31  	MaxFloat32						 = 0x1p127 * (1 + (1 - 0x1p-23)) // 3.40282346638528859811704183484516925440e+38
		32  	SmallestNonzeroFloat32 = 0x1p-126 * 0x1p-23						// 1.401298464324817070923729583289916131280e-45
		33  
		34  	MaxFloat64						 = 0x1p1023 * (1 + (1 - 0x1p-52)) // 1.79769313486231570814527423731704356798070e+308
		35  	SmallestNonzeroFloat64 = 0x1p-1022 * 0x1p-52						// 4.9406564584124654417656879286822137236505980e-324
		36  )
		37  
		38  // Integer limit values.
		39  const (
		40  	intSize = 32 << (^uint(0) >> 63) // 32 or 64
		41  
		42  	MaxInt		= 1<<(intSize-1) - 1
		43  	MinInt		= -1 << (intSize - 1)
		44  	MaxInt8	 = 1<<7 - 1
		45  	MinInt8	 = -1 << 7
		46  	MaxInt16	= 1<<15 - 1
		47  	MinInt16	= -1 << 15
		48  	MaxInt32	= 1<<31 - 1
		49  	MinInt32	= -1 << 31
		50  	MaxInt64	= 1<<63 - 1
		51  	MinInt64	= -1 << 63
		52  	MaxUint	 = 1<<intSize - 1
		53  	MaxUint8	= 1<<8 - 1
		54  	MaxUint16 = 1<<16 - 1
		55  	MaxUint32 = 1<<32 - 1
		56  	MaxUint64 = 1<<64 - 1
		57  )
		58  

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