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Toolkit for Adaptive Stochastic Modeling and Non-Intrusive ApproximatioN: Tasmanian v8.2
 
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tsgMathUtils.hpp
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1/*
2 * Copyright (c) 2017, Miroslav Stoyanov
3 *
4 * This file is part of
5 * Toolkit for Adaptive Stochastic Modeling And Non-Intrusive ApproximatioN: TASMANIAN
6 *
7 * Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
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12 * and the following disclaimer in the documentation and/or other materials provided with the distribution.
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29 */
30
31#ifndef __TASMANIAN_SPARSE_GRID_MATHUTILS_HPP
32#define __TASMANIAN_SPARSE_GRID_MATHUTILS_HPP
33
53namespace TasGrid{
54
60namespace Maths{
65inline int intlog2(int i){
66 int result = 0;
67 while (i >>= 1){ result++; }
68 return result;
69}
74inline int int2log2(int i){ // this is effectively: 2^(floor(log_2(i))), when i == 0, this returns 1
75 int result = 1;
76 while (i >>= 1){ result <<= 1; }
77 return result;
78}
83inline int int3log3(int i){
84 int result = 1;
85 while(i >= 1){ i /= 3; result *= 3; }
86 return result;
87}
92inline int pow2(int p){ return (1 << p); }
97inline int pow3(int p){
98 int result = 1;
99 for(int i=0; i<p; i++) result *= 3;
100 return result;
101}
102
107inline double sign(double p){ return (p >= 0.0) ? 1.0 : -1.0; }
108
117constexpr double pi = 3.14159265358979323846;
118
132constexpr double num_tol = 1.E-12;
133
134} // namespace Maths
135
136} // namespace TasGrid
137
138#endif
int pow3(int p)
Computes std::pow(3, p), but uses only integer operations.
Definition tsgMathUtils.hpp:97
double sign(double p)
Returns +1 or -1 with the same sign as p.
Definition tsgMathUtils.hpp:107
int int3log3(int i)
Computes std::pow(3, std::floor(std::log(i) / std::log(2))), but uses only integer operations.
Definition tsgMathUtils.hpp:83
constexpr double num_tol
Numerical tolerance for various algorithms.
Definition tsgMathUtils.hpp:132
constexpr double pi
Half-period of the std::sin() and std::cos() functions.
Definition tsgMathUtils.hpp:117
int pow2(int p)
Computes std::pow(2, p), but uses only integer operations.
Definition tsgMathUtils.hpp:92
int int2log2(int i)
Computes std::pow(2, std::floor(std::log2(i))), but uses only integer operations.
Definition tsgMathUtils.hpp:74
int intlog2(int i)
Computes std::floor(std::log2(i)), but uses only integer operations.
Definition tsgMathUtils.hpp:65
Encapsulates the Tasmanian Sparse Grid module.
Definition TasmanianSparseGrid.hpp:68