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351 行
5.7 KiB
351 行
5.7 KiB
#pragma once
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#include "gp_config.hpp"
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#include "gp/math/integer_math.hpp"
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#include "gp/math/q_math.hpp"
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#if !defined(NO_FP_MATH)
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# include "gp/math/fp_math.hpp"
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#endif
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#include "gp/algorithm/repeat.hpp"
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#include "gp/algorithm/min_max.hpp"
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namespace gp {
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template<typename T>
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T lerp(T input, T low, T high) {
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return low + (high - low) * input;
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}
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template<typename T>
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T lextrap(T input, T low, T high) {
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return (input - low) / (high - low);
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}
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template<typename T, size_t fixed_passes = 16>
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T fixed_sqrt(T value) {
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gp_config::assertion(value >= 0, "trying to compute square root of negative number");
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if(value == 0) return 0;
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T ret = value / 2;
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T tmp;
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gp::repeat(fixed_passes, [&](){
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tmp = ret;
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ret = (value / tmp + tmp) / 2;
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});
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return ret;
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}
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template<typename T, size_t cap_passes = 16>
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T epsilon_sqrt(T value) {
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gp_config::assertion(value >= 0, "trying to compute square root of negative number");
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if(value == 0) return 0;
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T ret = value / 2;
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T tmp;
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constexpr T epsilon = gp_config::rendering::epsilon;
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size_t cnt = 0;
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while(
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!(
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(ret+epsilon)*ret > value
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&& (ret-epsilon)*ret < value
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)
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&& cnt < cap_passes
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){
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tmp = ret;
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ret = (value / tmp + tmp) / 2;
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++cnt;
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};
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return ret;
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}
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template<typename T, size_t cap_passes = 16>
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T stable_sqrt(T value) {
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gp_config::assertion(value >= 0, "trying to compute square root of negative number");
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if(value == 0) return 0;
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T ret = value / 2;
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T tmp;
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while(ret != tmp){
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tmp = ret;
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ret = (value / tmp + tmp) / 2;
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};
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return ret;
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}
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template<typename T = gp_config::rendering::default_type>
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struct vec2_g {
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T x;
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T y;
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vec2_g()
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: x{}
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, y{}
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{}
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vec2_g(
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T _x,
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T _y
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)
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: x{_x}
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, y{_y}
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{}
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vec2_g operator/(vec2_g rhs) {
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return {
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x / rhs.x,
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y / rhs.y
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};
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}
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vec2_g operator*(vec2_g rhs) {
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return {
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x * rhs.x,
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y * rhs.y
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};
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}
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vec2_g operator+(vec2_g oth) {
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return {x+oth.x, y+oth.y};
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}
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vec2_g operator-(vec2_g oth) {
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return {x-oth.x, y-oth.y};
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}
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vec2_g normalize() {
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T ilen = fast_isqrt(x*x+y*y);
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return {x*ilen, y*ilen};
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}
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T length() {
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return fixed_sqrt(x*x+y*y);
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}
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};
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template<typename T = gp_config::rendering::default_type>
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struct vec3_g {
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T x;
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T y;
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T z;
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T& r(){
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return x;
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}
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T& g(){
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return y;
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}
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T& b(){
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return z;
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}
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vec3_g()
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: x{}
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, y{}
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, z{}
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{}
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vec3_g(
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T _x,
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T _y,
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T _z
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)
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: x{_x}
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, y{_y}
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, z{_z}
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{}
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vec3_g(vec2_g<T> left, T right)
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: x{left.x}
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, y{left.y}
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, z{right}
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{}
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vec3_g(T left, vec2_g<T> right)
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: x{left}
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, y{right.x}
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, z{right.y}
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{}
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vec3_g operator/(vec3_g rhs) {
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return {
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x / rhs.x,
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y / rhs.y,
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z / rhs.z
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};
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}
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vec3_g operator*(vec3_g rhs) {
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return {
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x * rhs.x,
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y * rhs.y,
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z * rhs.z
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};
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}
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vec3_g operator+(vec3_g oth) {
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return {x+oth.x, y+oth.y, z+oth.z};
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}
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vec3_g operator-(vec3_g oth) {
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return {x-oth.x, y-oth.y, z-oth.z};
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}
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vec3_g normalize() {
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T ilen = fast_isqrt(x*x+y*y+z*z);
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return {x*ilen, y*ilen, z*ilen};
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}
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T length() {
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return fixed_sqrt(x*x+y*y+z*z);
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}
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};
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template<typename T = gp_config::rendering::default_type>
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struct vec4_g {
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T x;
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T y;
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T z;
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T w;
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T& r(){
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return x;
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}
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T& g(){
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return y;
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}
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T& b(){
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return z;
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}
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T& a(){
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return w;
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}
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vec4_g()
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: x{}
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, y{}
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, z{}
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, w{}
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{}
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vec4_g(
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T _x,
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T _y,
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T _z,
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T _w
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)
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: x{_x}
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, y{_y}
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, z{_z}
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, w{_w}
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{}
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vec4_g(T left, vec3_g<> right)
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: x{left}
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, y{right.x}
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, z{right.y}
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, w{right.z}
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{}
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vec4_g(vec3_g<> left, T right)
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: x{left.x}
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, y{left.y}
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, z{left.z}
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, w{right}
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{}
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vec4_g operator/(vec4_g rhs) {
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return {
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x / rhs.x,
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y / rhs.y,
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z / rhs.z,
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w / rhs.w
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};
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}
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vec4_g operator*(vec4_g rhs) {
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return {
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x * rhs.x,
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y * rhs.y,
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z * rhs.z,
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w * rhs.w
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};
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}
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vec4_g operator+(vec4_g oth) {
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return {x+oth.x, y+oth.y, z+oth.z, w+oth.w};
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}
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vec4_g operator-(vec4_g oth) {
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return {x-oth.x, y-oth.y, z-oth.w, z-oth.w};
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}
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vec4_g normalize() {
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T ilen = fast_isqrt(x*x+y*y+z*z+w*w);
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return {x*ilen, y*ilen, z*ilen, w*ilen};
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}
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T length() {
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return fixed_sqrt(x*x+y*y+z*z+w*w);
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}
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};
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template<typename T>
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auto sphere_sdf(vec3_g<T> center, T radius) {
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return [=](vec3_g<T> position) -> T const {
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auto p = position - center;
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return p.length() - radius;
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};
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}
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template<typename T, typename lhs, typename rhs>
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auto union_sdf(lhs _l, rhs _r) {
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return [=](vec3_g<T> position) -> T const {
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return gp::min(_l(position), _r(position));
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};
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}
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template<typename T, typename lhs, typename rhs>
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auto intersect_sdf(lhs _l, rhs _r) {
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return [=](vec3_g<T> position) -> T const {
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return gp::max(_l(position), _r(position));
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};
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}
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template<typename T, typename lhs, typename rhs>
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auto difference_sdf(lhs _l, rhs _r) {
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return [=](vec3_g<T> position) -> T const {
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return gp::max(_l(position), -_r(position));
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};
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}
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template<typename T>
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vec2_g<T> operator*(vec2_g<T> p, T v) {
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return {p.x*v, p.y*v};
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}
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template<typename T>
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vec3_g<T> operator*(vec3_g<T> p, T v) {
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return {p.x*v, p.y*v, p.z*v};
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}
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template<typename T>
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vec4_g<T> operator*(vec4_g<T> p, T v) {
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return {p.x*v, p.y*v, p.z*v, p.w*v};
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}
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template<typename T>
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vec2_g<T> operator*(T v, vec2_g<T> p) {
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return p*v;
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}
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template<typename T>
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vec3_g<T> operator*(T v, vec3_g<T> p) {
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return p*v;
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}
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template<typename T>
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vec4_g<T> operator*(T v, vec4_g<T> p) {
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return p*v;
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}
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}
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static_assert(sizeof(gp::vec3_g<int>) == sizeof(int)*3, "vec3_g has strange alignment");
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static_assert(sizeof(gp::vec4_g<int>) == sizeof(int)*4, "vec4_g has strange alignment");
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