scsl/include/scmp/Math.h

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///
/// \file include/scmp/Math.h
/// \author K. Isom <kyle@imap.cc>
/// \date 2017-06-05
/// \brief Common math functions.
///
/// Arena defines a memory management backend for pre-allocating memory.
///
/// Copyright 2023 K. Isom <kyle@imap.cc>
///
/// Permission to use, copy, modify, and/or distribute this software for
/// any purpose with or without fee is hereby granted, provided that
/// the above copyright notice and this permission notice appear in all /// copies.
///
/// THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
/// WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
/// WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
/// AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
/// DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA
/// OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
/// TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
/// PERFORMANCE OF THIS SOFTWARE.
///
#ifndef SCCCL_MATH_H
#define SCCCL_MATH_H
#include <cmath>
#include <vector>
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namespace scmp {
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/// MAX_RADIAN is a precomputed 2 * M_PI.
constexpr double MAX_RADIAN = 2 * M_PI;
constexpr double MIN_RADIAN = -2 * M_PI;
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constexpr double PI_D = 3.141592653589793;
/// Roll m die of n sides, returning a vector of the dice.
std::vector<int> Die(int m, int n);
/// Roll m die of n sides, returning the total of the die.
int DieTotal(int m, int n);
/// Roll m die of n sides, and take the total of the top k die.
int BestDie(int k, int m, int n);
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/// \brief Convert radians to degrees.
///
/// \param rads the angle in radians
/// \return the angle in degrees.
float RadiansToDegreesF(float rads);
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/// \brief Convert radians to degrees.
///
/// \param rads the angle in radians
/// \return the angle in degrees.
double RadiansToDegreesD(double rads);
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/// \brief Convert degrees to radians.
///
/// \param degrees the angle in degrees
/// \return the angle in radians.
float DegreesToRadiansF(float degrees);
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/// \brief Convert degrees to radians.
///
/// \param degrees the angle in degrees
/// \return the angle in radians.
double DegreesToRadiansD(double degrees);
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/// \brief RotateRadians rotates theta0 by theta1 radians, wrapping
/// the result to MIN_RADIAN <= result <= MAX_RADIAN.
///
/// \param theta0
/// \param theta1
/// \return
double RotateRadians(double theta0, double theta1);
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/// \brief Get the default epsilon value.
///
/// \param epsilon The variable to store the epsilon value in.
void DefaultEpsilon(double &epsilon);
/// Get the default epsilon value.
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///
/// \param epsilon The variable to store the epsilon value in.
void DefaultEpsilon(float &epsilon);
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/// \brief Return whether the two values of type T are equal to within
/// some tolerance.
///
/// \tparam T The type of value
/// \param a A value of type T used as the left-hand side of an
/// equality check.
/// \param b A value of type T used as the right-hand side of an
/// equality check.
/// \param epsilon The tolerance value.
/// \return Whether the two values are "close enough" to be considered
/// equal.
template <typename T>
static T
WithinTolerance(T a, T b, T epsilon)
{
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return std::abs(a - b) <= epsilon;
}
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} // namespace scmp
#endif //SCCCL_MATH_H