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#pragma once |
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#include <tuple> |
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#include "assert/assert.h" |
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#include "base/numeric.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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//////////////////////////////////////////////////////////////////////////////// |
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// Forward declarations |
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struct Q; |
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struct v3; |
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struct n3; |
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//////////////////////////////////////////////////////////////////////////////// |
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/// a 3d vector |
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struct v3 |
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{ |
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float x; |
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float y; |
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float z; |
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explicit v3(float a); |
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explicit v3(const std::tuple<float, float, float> &a); |
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constexpr v3(float ax, float ay, float az) |
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: x(ax), y(ay), z(az) |
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{ |
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} |
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/// assumes the given pointer is a array of 3 floats |
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explicit v3(const float *a); |
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/// creates a vector going from `from` to `to` |
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static v3 from_to(const v3 &from, const v3 &to); |
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/// Creates a vector in quaterion local space from Right Up In. |
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[[nodiscard]] static v3 from_localspace_rui(const Q& rotation, float right, float up, float in); |
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[[nodiscard]] float dot(const v3 &rhs) const; |
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[[nodiscard]] v3 cross(const v3 &u) const; |
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void operator+=(const v3 &rhs); |
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void operator-=(const v3 &rhs); |
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void operator/=(float rhs); |
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void operator*=(float rhs); |
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v3 operator-() const; |
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/// Returns an array to the data. |
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/// non const so it's useful for letting an API tweak the members. |
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float *get_data_ptr(); |
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/// Returns an array to the data |
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[[nodiscard]] const float *get_data_ptr() const; |
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/// Returns the squared length of the vector. |
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/// This is useful if you want to compare to zero, sort by length or similar, otherwise see @ref get_length() |
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[[nodiscard]] constexpr float get_length_squared() const |
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{ |
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return x * x + y * y + z * z; |
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} |
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/// Returns the length of the vector |
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[[nodiscard]] float get_length() const; |
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/** Changes the length to 1. |
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* If the calculated length is zero, the vector is changed to a known value and false is returned |
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*/ |
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bool normalize(); |
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/// Returns a unit vector. |
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/// if the length is zero, `nullopt` is returend |
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[[nodiscard]] std::optional<n3> get_normalized() const; |
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bool operator==(const v3 &rhs) = delete; |
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}; |
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constexpr v3 zero3f = v3{0.0f, 0.0f, 0.0f}; |
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//////////////////////////////////////////////////////////////////////////////// |
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/// a 3d unit (vector) |
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struct n3 : public v3 |
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{ |
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constexpr n3 operator-() const |
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{ |
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return {-this->x, -this->y, -this->z}; |
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} |
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/// returns false if the length isn't 1 |
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[[nodiscard]] constexpr bool |
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is_valid() const |
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{ |
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return is_equal(get_length_squared(), 1.0f); |
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} |
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bool operator==(const n3 &rhs) = delete; |
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/// asserts that the length is 1 |
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constexpr n3(float a, float b, float c) |
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: v3(a, b, c) |
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{ |
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ASSERT(is_valid()); |
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} |
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/// asserts that the length is 1 |
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constexpr explicit n3(const v3& v) |
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: v3(v) |
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{ |
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ASSERT(is_valid()); |
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} |
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}; |
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namespace kk |
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{ |
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constexpr n3 x_axis = n3{1.0f, 0.0f, 0.0f}; |
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constexpr n3 y_axis = n3{0.0f, 1.0f, 0.0f}; |
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constexpr n3 z_axis = n3{0.0f, 0.0f, 1.0f}; |
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constexpr n3 up = y_axis; |
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constexpr n3 down = -y_axis; |
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constexpr n3 right = x_axis; |
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constexpr n3 left = -x_axis; |
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constexpr n3 in = -z_axis; |
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constexpr n3 out = z_axis; |
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} |
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v3 operator+(const v3 &lhs, const v3 &rhs); |
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v3 operator-(const v3 &lhs, const v3 &rhs); |
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v3 operator*(float lhs, const v3 &rhs); |
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v3 operator*(const v3 &lhs, float rhs); |
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v3 operator/(const v3 &lhs, float rhs); |
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v3 operator/(float lhs, const v3 &rhs); |
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v3 lerp_v3(const v3 &f, float v, const v3 &t); |
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/// convert a 3d vector to string, prefer fmt |
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std::string string_from(const v3 &v); |
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/// converts a 3d unit vector to string, prefer fmt |
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std::string string_from(const n3 &v); |
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/// component wise min value |
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constexpr v3 |
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min(const v3 &lhs, const v3 &rhs) |
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{ |
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return { |
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eu::min(lhs.x, rhs.x), |
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eu::min(lhs.y, rhs.y), |
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eu::min(lhs.z, rhs.z) |
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}; |
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} |
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/// component wise max value |
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constexpr v3 |
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max(const v3 &lhs, const v3 &rhs) |
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{ |
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return { |
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eu::max(lhs.x, rhs.x), |
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eu::max(lhs.y, rhs.y), |
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eu::max(lhs.z, rhs.z) |
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}; |
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} |
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/** @}*/ |
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ADD_CATCH_FORMATTER_DEF(v3) |
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ADD_CATCH_FORMATTER_DEF(n3) |
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} |
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ADD_DEFAULT_FORMATTER(eu::v3, std::string, eu::string_from); |
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ADD_DEFAULT_FORMATTER(eu::n3, std::string, eu::string_from); |
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