#pragma once #include "shared.h" class Basis; struct Vector3 { enum Axis { AXIS_X, AXIS_Y, AXIS_Z, }; union { struct { double x; double y; double z; }; double coord[3] = { 0 }; }; inline const double& operator[](int p_axis) const { return coord[p_axis]; } inline double& operator[](int p_axis) { return coord[p_axis]; } void set_axis(int p_axis, double p_value); double get_axis(int p_axis) const; int min_axis() const; int max_axis() const; inline double length() const; inline double length_squared() const; inline void normalize(); inline Vector3 normalized() const; inline bool is_normalized() const; inline Vector3 inverse() const; inline void zero(); // void snap(Vector3 p_val); // Vector3 snapped(Vector3 p_val) const; void rotate(const Vector3& p_axis, double p_phi); Vector3 rotated(const Vector3& p_axis, double p_phi) const; /* Static Methods between 2 vector3s */ inline Vector3 lerp(const Vector3& p_b, double p_t) const; inline Vector3 slerp(const Vector3& p_b, double p_t) const; Vector3 cubic_interpolate(const Vector3& p_b, const Vector3& p_pre_a, const Vector3& p_post_b, double p_t) const; Vector3 cubic_interpolaten(const Vector3& p_b, const Vector3& p_pre_a, const Vector3& p_post_b, double p_t) const; Vector3 move_toward(const Vector3& p_to, const double p_delta) const; inline Vector3 cross(const Vector3& p_b) const; inline double dot(const Vector3& p_b) const; Basis outer(const Vector3& p_b) const; Basis to_diagonal_matrix() const; inline Vector3 abs() const; inline Vector3 floor() const; inline Vector3 sign() const; inline Vector3 ceil() const; inline Vector3 round() const; inline double distance_to(const Vector3& p_b) const; inline double distance_squared_to(const Vector3& p_b) const; inline Vector3 posmod(const double p_mod) const; inline Vector3 posmodv(const Vector3& p_modv) const; inline Vector3 project(const Vector3& p_b) const; inline double angle_to(const Vector3& p_b) const; inline Vector3 direction_to(const Vector3& p_b) const; inline Vector3 slide(const Vector3& p_normal) const; inline Vector3 bounce(const Vector3& p_normal) const; inline Vector3 reflect(const Vector3& p_normal) const; bool is_equal_approx(const Vector3& p_v) const; /* Operators */ inline Vector3& operator+=(const Vector3& p_v); inline Vector3 operator+(const Vector3& p_v) const; inline Vector3& operator-=(const Vector3& p_v); inline Vector3 operator-(const Vector3& p_v) const; inline Vector3& operator*=(const Vector3& p_v); inline Vector3 operator*(const Vector3& p_v) const; inline Vector3& operator/=(const Vector3& p_v); inline Vector3 operator/(const Vector3& p_v) const; inline Vector3& operator*=(double p_scalar); inline Vector3 operator*(double p_scalar) const; inline Vector3& operator/=(double p_scalar); inline Vector3 operator/(double p_scalar) const; inline Vector3 operator-() const; inline bool operator==(const Vector3& p_v) const; inline bool operator!=(const Vector3& p_v) const; inline bool operator<(const Vector3& p_v) const; inline bool operator<=(const Vector3& p_v) const; inline bool operator>(const Vector3& p_v) const; inline bool operator>=(const Vector3& p_v) const; inline Vector3() {} inline Vector3(double p_x, double p_y, double p_z) { x = p_x; y = p_y; z = p_z; } }; Vector3 Vector3::cross(const Vector3& p_b) const { Vector3 ret( (y * p_b.z) - (z * p_b.y), (z * p_b.x) - (x * p_b.z), (x * p_b.y) - (y * p_b.x)); return ret; } double Vector3::dot(const Vector3& p_b) const { return x * p_b.x + y * p_b.y + z * p_b.z; } Vector3 Vector3::abs() const { return Vector3(std::abs(x), std::abs(y), std::abs(z)); } Vector3 Vector3::sign() const { return Vector3(Math::sign(x), Math::sign(y), Math::sign(z)); } Vector3 Vector3::floor() const { return Vector3(std::floor(x), std::floor(y), std::floor(z)); } Vector3 Vector3::ceil() const { return Vector3(std::ceil(x), std::ceil(y), std::ceil(z)); } Vector3 Vector3::round() const { return Vector3(std::round(x), std::round(y), std::round(z)); } Vector3 Vector3::lerp(const Vector3& p_b, double p_t) const { return Vector3( x + (p_t * (p_b.x - x)), y + (p_t * (p_b.y - y)), z + (p_t * (p_b.z - z))); } Vector3 Vector3::slerp(const Vector3& p_b, double p_t) const { double theta = angle_to(p_b); return rotated(cross(p_b).normalized(), theta * p_t); } double Vector3::distance_to(const Vector3& p_b) const { return (p_b - *this).length(); } double Vector3::distance_squared_to(const Vector3& p_b) const { return (p_b - *this).length_squared(); } Vector3 Vector3::posmod(const double p_mod) const { return Vector3(Math::fposmod(x, p_mod), Math::fposmod(y, p_mod), Math::fposmod(z, p_mod)); } Vector3 Vector3::posmodv(const Vector3& p_modv) const { return Vector3(Math::fposmod(x, p_modv.x), Math::fposmod(y, p_modv.y), Math::fposmod(z, p_modv.z)); } Vector3 Vector3::project(const Vector3& p_b) const { return p_b * (dot(p_b) / p_b.length_squared()); } double Vector3::angle_to(const Vector3& p_b) const { return std::atan2(cross(p_b).length(), dot(p_b)); } Vector3 Vector3::direction_to(const Vector3& p_b) const { Vector3 ret(p_b.x - x, p_b.y - y, p_b.z - z); ret.normalize(); return ret; } /* Operators */ Vector3& Vector3::operator+=(const Vector3& p_v) { x += p_v.x; y += p_v.y; z += p_v.z; return *this; } Vector3 Vector3::operator+(const Vector3& p_v) const { return Vector3(x + p_v.x, y + p_v.y, z + p_v.z); } Vector3& Vector3::operator-=(const Vector3& p_v) { x -= p_v.x; y -= p_v.y; z -= p_v.z; return *this; } Vector3 Vector3::operator-(const Vector3& p_v) const { return Vector3(x - p_v.x, y - p_v.y, z - p_v.z); } Vector3& Vector3::operator*=(const Vector3& p_v) { x *= p_v.x; y *= p_v.y; z *= p_v.z; return *this; } Vector3 Vector3::operator*(const Vector3& p_v) const { return Vector3(x * p_v.x, y * p_v.y, z * p_v.z); } Vector3& Vector3::operator/=(const Vector3& p_v) { x /= p_v.x; y /= p_v.y; z /= p_v.z; return *this; } Vector3 Vector3::operator/(const Vector3& p_v) const { return Vector3(x / p_v.x, y / p_v.y, z / p_v.z); } Vector3& Vector3::operator*=(double p_scalar) { x *= p_scalar; y *= p_scalar; z *= p_scalar; return *this; } inline Vector3 operator*(double p_scalar, const Vector3& p_vec) { return p_vec * p_scalar; } Vector3 Vector3::operator*(double p_scalar) const { return Vector3(x * p_scalar, y * p_scalar, z * p_scalar); } Vector3& Vector3::operator/=(double p_scalar) { x /= p_scalar; y /= p_scalar; z /= p_scalar; return *this; } Vector3 Vector3::operator/(double p_scalar) const { return Vector3(x / p_scalar, y / p_scalar, z / p_scalar); } Vector3 Vector3::operator-() const { return Vector3(-x, -y, -z); } bool Vector3::operator==(const Vector3& p_v) const { return x == p_v.x && y == p_v.y && z == p_v.z; } bool Vector3::operator!=(const Vector3& p_v) const { return x != p_v.x || y != p_v.y || z != p_v.z; } bool Vector3::operator<(const Vector3& p_v) const { if (x == p_v.x) { if (y == p_v.y) { return z < p_v.z; } else { return y < p_v.y; } } else { return x < p_v.x; } } bool Vector3::operator>(const Vector3& p_v) const { if (x == p_v.x) { if (y == p_v.y) { return z > p_v.z; } else { return y > p_v.y; } } else { return x > p_v.x; } } bool Vector3::operator<=(const Vector3& p_v) const { if (x == p_v.x) { if (y == p_v.y) { return z <= p_v.z; } else { return y < p_v.y; } } else { return x < p_v.x; } } bool Vector3::operator>=(const Vector3& p_v) const { if (x == p_v.x) { if (y == p_v.y) { return z >= p_v.z; } else { return y > p_v.y; } } else { return x > p_v.x; } } inline Vector3 vec3_cross(const Vector3& p_a, const Vector3& p_b) { return p_a.cross(p_b); } inline double vec3_dot(const Vector3& p_a, const Vector3& p_b) { return p_a.dot(p_b); } double Vector3::length() const { double x2 = x * x; double y2 = y * y; double z2 = z * z; return std::sqrt(x2 + y2 + z2); } double Vector3::length_squared() const { double x2 = x * x; double y2 = y * y; double z2 = z * z; return x2 + y2 + z2; } void Vector3::normalize() { double lengthsq = length_squared(); if (lengthsq == 0) { x = y = z = 0; } else { double length = std::sqrt(lengthsq); x /= length; y /= length; z /= length; } } Vector3 Vector3::normalized() const { Vector3 v = *this; v.normalize(); return v; } bool Vector3::is_normalized() const { // use length_squared() instead of length() to avoid sqrt(), makes it more stringent. return Math::is_equal_approx(length_squared(), 1.0, UNIT_EPSILON); } Vector3 Vector3::inverse() const { return Vector3(1.0 / x, 1.0 / y, 1.0 / z); } void Vector3::zero() { x = y = z = 0; } // slide returns the component of the vector along the given plane, specified by its normal vector. Vector3 Vector3::slide(const Vector3& p_normal) const { #ifdef MATH_CHECKS ERR_FAIL_COND_V_MSG(!p_normal.is_normalized(), Vector3(), "The normal Vector3 must be normalized."); #endif return *this - p_normal * this->dot(p_normal); } Vector3 Vector3::bounce(const Vector3& p_normal) const { return -reflect(p_normal); } Vector3 Vector3::reflect(const Vector3& p_normal) const { #ifdef MATH_CHECKS ERR_FAIL_COND_V_MSG(!p_normal.is_normalized(), Vector3(), "The normal Vector3 must be normalized."); #endif return 2.0 * p_normal * this->dot(p_normal) - *this; }