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