mirror of
https://github.com/borgesdan/xn65
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72 lines
3.0 KiB
C++
72 lines
3.0 KiB
C++
#ifndef XNA_COMMON_MATH_HPP
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#define XNA_COMMON_MATH_HPP
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#include <limits>
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#include <cmath>
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#include <algorithm>
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namespace xna {
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//Contains commonly used precalculated values.
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struct MathHelper {
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//Represents the mathematical constant e.
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static constexpr double E = 2.7182818284590451;
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//Represents the value of pi.
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static constexpr double PI = 3.1415926535897931;
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//Converts degrees to radians.
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static constexpr float ToRadians(float degrees) { return degrees * (static_cast<float>(PI) / 180.0f); }
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//Converts radians to degrees.
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static constexpr float ToDegrees(float radians) { return radians * 57.2957764F; }
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//Calculates the absolute value of the difference of two values
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static float Distance(float value1, float value2) { return std::abs(value1 - value2); }
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//Returns the lesser of two values.
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static constexpr float Min(float value1, float value2) { return (std::min)(value1, value2); }
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//Returns the greater of two values.
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static constexpr float Max(float value1, float value2) { return (std::max)(value1, value2); }
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//Restricts a value to be within a specified range.
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template <typename T>
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static constexpr T Clamp(T value, T min, T max) {
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value = value > max ? max : value;
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value = value < min ? min : value;
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return value;
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}
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//Linearly interpolates between two values.
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static constexpr float Lerp(float value1, float value2, float amount) {
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return value1 + (value2 - value1) * amount;
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}
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//Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.
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static constexpr float Barycentric(float value1, float value2, float value3, float amount1, float amount2) {
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return value1 + amount1 * (value2 - value1) + amount2 * (value3 - value1);
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}
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//Interpolates between two values using a cubic equation.
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static constexpr float SmoothStep(float value1, float value2, float amount) {
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const auto num = Clamp(amount, 0.0f, 1.0f);
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return Lerp(value1, value2, (num * num * (3.0F - 2.0F * num)));
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}
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//Performs a Catmull-Rom interpolation using the specified positions.
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static constexpr float CatmullRom(float value1, float value2, float value3, float value4, float amount) {
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const auto num1 = amount * amount;
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const auto num2 = amount * num1;
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return (0.5F * (2.0F * value2 + (-value1 + value3) * amount + (2.0F * value1 - 5.0F * value2 + 4.0F * value3 - value4) * num1 + (-value1 + 3.0F * value2 - 3.0F * value3 + value4) * num2));
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}
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//Performs a Hermite spline interpolation.
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static constexpr float Hermite(float value1, float tangent1, float value2, float tangent2, float amount) {
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const auto num1 = amount;
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const auto num2 = num1 * num1;
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const auto num3 = num1 * num2;
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const auto num4 = (2.0F * num3 - 3.0F * num2 + 1.0F);
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const auto num5 = (-2.0F * num3 + 3.0F * num2);
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const auto num6 = num3 - 2.0f * num2 + num1;
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const auto num7 = num3 - num2;
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return value1 * num4 + value2 * num5 + tangent1 * num6 + tangent2 * num7;
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}
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};
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}
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#endif |