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#pragma once |
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#include <type_traits> |
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#include "base/angle.h" |
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#include "assert/assert.h" |
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namespace eu |
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{ |
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/** \addtogroup math |
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* @{ |
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*/ |
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/// A (inclusive) range between two values. |
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/// Zero range is allowed. |
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template <typename T> |
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struct R |
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{ |
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T lower_bound; |
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T upper_bound; |
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/// Asserts if max is below min |
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constexpr R(T min, T max) : lower_bound(min), upper_bound(max) |
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{ |
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ASSERTX(lower_bound <= upper_bound, upper_bound, lower_bound); |
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} |
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[[nodiscard]] T |
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get_distance() const |
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{ |
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return upper_bound - lower_bound; |
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} |
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}; |
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/// Create a range from `min` to `max` (inclusive) |
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template <typename T> |
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R<T> make_range(T min, T max) |
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{ |
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return {min, max}; |
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} |
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/// Create a range from zero (0) to `max` (inclusive) |
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template <typename T> |
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R<T> make_range(T max) |
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{ |
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return R<T>(0, max); |
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} |
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/// A range going from 0 to 1 |
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constexpr R<float> r01 = { 0.0f, 1.0f}; |
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// A range going from -1 to 1 |
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constexpr R<float> r11 = { -1.0f, 1.0}; |
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float from_01f(float lower_bound, float upper_bound, float value); |
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/// Converts a value in 0-1 range to a custom range |
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template <typename T> |
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T from_01(const R<T>& range, float value) |
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{ |
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const float r = from_01f |
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( |
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static_cast<float>(range.lower_bound), |
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static_cast<float>(range.upper_bound), |
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value |
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); |
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if constexpr (std::is_unsigned<T>::value) |
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{ |
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ASSERT(r >= 0.0f); |
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} |
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return static_cast<T>(r); |
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} |
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template <> |
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float from_01(const R<float>& range, float value); |
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/// Converts a value in a range to the 0-1 range |
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template <typename T> |
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float to01(const R<T>& range, T value) |
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{ |
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return (value - range.lower_bound) |
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/ (range.upper_bound - range.lower_bound); |
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} |
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// inclusive |
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template <typename T> |
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T get360_angular(const R<T>& range, float value) |
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{ |
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const float half_difference |
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= (range.upper_bound - range.lower_bound) / 2.0f; |
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return range.lower_bound + half_difference |
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- half_difference * cos(An::from_percent_of_360(value)); |
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} |
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/// Remaps a value from one range to another |
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template <typename T, typename F> |
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T remap_to(const R<F>& from, const R<T>& to, F value) |
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{ |
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return from_01(to, to01(from, value)); |
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} |
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/// Returns true if a value is withing a range |
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template <typename T> |
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bool is_within(const R<T>& range, T value) |
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{ |
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return value >= range.lower_bound && value <= range.upper_bound; |
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} |
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/// Returns a value that is kept within the range. |
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/// i.e the value can't go lower than the lower bound or higher than the higher bound |
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/// @see wrap |
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template <typename T> |
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T keep_within(const R<T>& range, T value) |
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{ |
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if(value > range.upper_bound) |
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{ |
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return range.upper_bound; |
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} |
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if(value < range.lower_bound) |
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{ |
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return range.lower_bound; |
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} |
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return value; |
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} |
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/// Returns a value that wraps around the range. |
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/// When the value go outside the range, the value is wrapped back to either the start if exited at the end or vice versa. |
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template <typename T> |
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T wrap(const R<T>& range, T value) |
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{ |
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const T diff = range.upper_bound - range.lower_bound; |
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ASSERT(diff > 0); |
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T wrapped = value - range.lower_bound; |
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while(wrapped < 0) |
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{ |
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wrapped += diff; |
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} |
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while(wrapped > diff) |
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{ |
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wrapped -= diff; |
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} |
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return range.lower_bound + wrapped; |
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} |
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/** @}*/ |
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} |
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