86 lines
2.2 KiB
C++
86 lines
2.2 KiB
C++
// Copyright 2007 Georgia Institute of Technology. All rights reserved.
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// ABSOLUTELY NOT FOR DISTRIBUTION
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/**
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* @file math.h
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*
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* Includes all basic FASTlib non-vector math utilities.
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*/
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#ifndef MATH_MATH_H
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#define MATH_MATH_H
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#include <math.h>
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/**
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* Math routines.
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*
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* The hope is that this should contain most of the useful math routines
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* you can think of. Currently, this is very sparse.
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*/
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namespace math {
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/** The square root of 2. */
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const double SQRT2 = 1.41421356237309504880;
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/** Base of the natural logarithm. */
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const double E = 2.7182818284590452354;
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/** Log base 2 of E. */
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const double LOG2_E = 1.4426950408889634074;
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/** Log base 10 of E. */
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const double LOG10_E = 0.43429448190325182765;
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/** Natural log of 2. */
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const double LN_2 = 0.69314718055994530942;
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/** Natural log of 10. */
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const double LN_10 = 2.30258509299404568402;
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/** The ratio of the circumference of a circle to its diameter. */
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const double PI = 3.141592653589793238462643383279;
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/** The ratio of the circumference of a circle to its radius. */
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const double PI_2 = 1.57079632679489661923;
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/** Squares a number. */
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template<typename T>
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inline T Sqr(T v) {
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return v * v;
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}
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/**
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* Forces a number to be non-negative, turning negative numbers into zero.
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*
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* Avoids branching costs (yes, we've discovered measurable improvements).
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*/
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inline double ClampNonNegative(double d) {
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return (d + fabs(d)) / 2;
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}
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/**
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* Forces a number to be non-positive, turning positive numbers into zero.
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*
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* Avoids branching costs (yes, we've discovered measurable improvements).
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*/
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inline double ClampNonPositive(double d) {
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return (d - fabs(d)) / 2;
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}
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/**
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* Clips a number between a particular range.
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*
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* @param value the number to clip
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* @param range_min the first of the range
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* @param range_max the last of the range
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* @return max(range_min, min(range_max, d))
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*/
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inline double ClampRange(double value, double range_min, double range_max) {
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if (unlikely(value <= range_min)) {
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return range_min;
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} else if (unlikely(value >= range_max)) {
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return range_max;
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} else {
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return value;
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}
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}
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};
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#include "discrete.h"
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#include "kernel.h"
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#include "geometry.h"
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#endif
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