/*************************************************************************/ /* vector3.h */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* http://www.godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */ /* */ /* Permission is hereby granted, free of charge, to any person obtaining */ /* a copy of this software and associated documentation files (the */ /* "Software"), to deal in the Software without restriction, including */ /* without limitation the rights to use, copy, modify, merge, publish, */ /* distribute, sublicense, and/or sell copies of the Software, and to */ /* permit persons to whom the Software is furnished to do so, subject to */ /* the following conditions: */ /* */ /* The above copyright notice and this permission notice shall be */ /* included in all copies or substantial portions of the Software. */ /* */ /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */ /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */ /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/ /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */ /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */ /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */ /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ /*************************************************************************/ #ifndef VECTOR3_H #define VECTOR3_H #include "math_defs.h" #include "math_funcs.h" #include "typedefs.h" #include "ustring.h" struct Vector3 { enum Axis { AXIS_X, AXIS_Y, AXIS_Z, }; union { struct { real_t x; real_t y; real_t z; }; real_t coord[3]; }; _FORCE_INLINE_ const real_t &operator[](int p_axis) const { return coord[p_axis]; } _FORCE_INLINE_ real_t &operator[](int p_axis) { return coord[p_axis]; } void set_axis(int p_axis, real_t p_value); real_t get_axis(int p_axis) const; int min_axis() const; int max_axis() const; _FORCE_INLINE_ real_t length() const; _FORCE_INLINE_ real_t length_squared() const; _FORCE_INLINE_ void normalize(); _FORCE_INLINE_ Vector3 normalized() const; _FORCE_INLINE_ Vector3 inverse() const; _FORCE_INLINE_ void zero(); void snap(float p_val); Vector3 snapped(float p_val) const; void rotate(const Vector3 &p_axis, float p_phi); Vector3 rotated(const Vector3 &p_axis, float p_phi) const; /* Static Methods between 2 vector3s */ _FORCE_INLINE_ Vector3 linear_interpolate(const Vector3 &p_b, float p_t) const; Vector3 cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, float p_t) const; Vector3 cubic_interpolaten(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, float p_t) const; _FORCE_INLINE_ Vector3 cross(const Vector3 &p_b) const; _FORCE_INLINE_ real_t dot(const Vector3 &p_b) const; _FORCE_INLINE_ Vector3 abs() const; _FORCE_INLINE_ Vector3 floor() const; _FORCE_INLINE_ Vector3 ceil() const; _FORCE_INLINE_ real_t distance_to(const Vector3 &p_b) const; _FORCE_INLINE_ real_t distance_squared_to(const Vector3 &p_b) const; _FORCE_INLINE_ real_t angle_to(const Vector3 &p_b) const; _FORCE_INLINE_ Vector3 slide(const Vector3 &p_vec) const; _FORCE_INLINE_ Vector3 reflect(const Vector3 &p_vec) const; /* Operators */ _FORCE_INLINE_ Vector3 &operator+=(const Vector3 &p_v); _FORCE_INLINE_ Vector3 operator+(const Vector3 &p_v) const; _FORCE_INLINE_ Vector3 &operator-=(const Vector3 &p_v); _FORCE_INLINE_ Vector3 operator-(const Vector3 &p_v) const; _FORCE_INLINE_ Vector3 &operator*=(const Vector3 &p_v); _FORCE_INLINE_ Vector3 operator*(const Vector3 &p_v) const; _FORCE_INLINE_ Vector3 &operator/=(const Vector3 &p_v); _FORCE_INLINE_ Vector3 operator/(const Vector3 &p_v) const; _FORCE_INLINE_ Vector3 &operator*=(real_t p_scalar); _FORCE_INLINE_ Vector3 operator*(real_t p_scalar) const; _FORCE_INLINE_ Vector3 &operator/=(real_t p_scalar); _FORCE_INLINE_ Vector3 operator/(real_t p_scalar) const; _FORCE_INLINE_ Vector3 operator-() const; _FORCE_INLINE_ bool operator==(const Vector3 &p_v) const; _FORCE_INLINE_ bool operator!=(const Vector3 &p_v) const; _FORCE_INLINE_ bool operator<(const Vector3 &p_v) const; _FORCE_INLINE_ bool operator<=(const Vector3 &p_v) const; operator String() const; _FORCE_INLINE_ Vector3() { x = y = z = 0; } _FORCE_INLINE_ Vector3(real_t p_x, real_t p_y, real_t p_z) { x = p_x; y = p_y; z = p_z; } }; #ifdef VECTOR3_IMPL_OVERRIDE #include "vector3_inline.h" #else 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; } real_t 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(Math::abs(x), Math::abs(y), Math::abs(z)); } Vector3 Vector3::floor() const { return Vector3(Math::floor(x), Math::floor(y), Math::floor(z)); } Vector3 Vector3::ceil() const { return Vector3(Math::ceil(x), Math::ceil(y), Math::ceil(z)); } Vector3 Vector3::linear_interpolate(const Vector3 &p_b, float 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))); } real_t Vector3::distance_to(const Vector3 &p_b) const { return (p_b - *this).length(); } real_t Vector3::distance_squared_to(const Vector3 &p_b) const { return (p_b - *this).length_squared(); } real_t Vector3::angle_to(const Vector3 &p_b) const { return Math::acos(this->dot(p_b) / Math::sqrt(this->length_squared() * p_b.length_squared())); } /* 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*=(real_t p_scalar) { x *= p_scalar; y *= p_scalar; z *= p_scalar; return *this; } _FORCE_INLINE_ Vector3 operator*(real_t p_scalar, const Vector3 &p_vec) { return p_vec * p_scalar; } Vector3 Vector3::operator*(real_t p_scalar) const { return Vector3(x * p_scalar, y * p_scalar, z * p_scalar); } Vector3 &Vector3::operator/=(real_t p_scalar) { x /= p_scalar; y /= p_scalar; z /= p_scalar; return *this; } Vector3 Vector3::operator/(real_t 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; } } _FORCE_INLINE_ Vector3 vec3_cross(const Vector3 &p_a, const Vector3 &p_b) { return p_a.cross(p_b); } _FORCE_INLINE_ real_t vec3_dot(const Vector3 &p_a, const Vector3 &p_b) { return p_a.dot(p_b); } real_t Vector3::length() const { real_t x2 = x * x; real_t y2 = y * y; real_t z2 = z * z; return Math::sqrt(x2 + y2 + z2); } real_t Vector3::length_squared() const { real_t x2 = x * x; real_t y2 = y * y; real_t z2 = z * z; return x2 + y2 + z2; } void Vector3::normalize() { real_t l = length(); if (l == 0) { x = y = z = 0; } else { x /= l; y /= l; z /= l; } } Vector3 Vector3::normalized() const { Vector3 v = *this; v.normalize(); return v; } Vector3 Vector3::inverse() const { return Vector3(1.0 / x, 1.0 / y, 1.0 / z); } void Vector3::zero() { x = y = z = 0; } Vector3 Vector3::slide(const Vector3 &p_vec) const { return p_vec - *this * this->dot(p_vec); } Vector3 Vector3::reflect(const Vector3 &p_vec) const { return p_vec - *this * this->dot(p_vec) * 2.0; } #endif #endif // VECTOR3_H