154 lines
4.2 KiB
C++
154 lines
4.2 KiB
C++
#pragma once
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#include <cstddef>
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#include <math.h>
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#define do_op(o, r, i) \
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inline void operator o##= (const r & rhs) { for(unsigned n=0; n<(i); n++) c[n] o##= rhs.c[n]; } \
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inline void operator o##= (T d) { for(unsigned n=0; n<(i); n++) c[n] o##= d; } \
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inline r operator o (const r & rhs) const { r tmp(*this); tmp o##= rhs; return tmp; } \
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inline r operator o (T d) const { r tmp(*this); tmp o##= d; return tmp; }
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#define do_ops(c, i) \
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do_op(*, c, i); \
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do_op(/, c, i); \
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do_op(+, c, i); \
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do_op(-, c, i);
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template <std::size_t n, std::floating_point T = float>
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struct vec {
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T c[n];
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};
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template <std::size_t n, std::floating_point T>
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vec<n, T> operator*(const T lhs, const vec<n, T>& rhs)
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{ return rhs * lhs; }
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template<std::floating_point T>
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struct vec<2, T> {
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union {
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T c[2];
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struct {
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T x, y;
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};
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};
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vec(T x, T y) : c{x,y} {}
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vec(T f) : vec(f,f) {}
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vec() : vec(0,0) {}
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do_ops(vec, 2);
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inline vec<2,T> operator-(void) const { return {-x, -y}; }
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inline T operator^(const vec<2,T>& rhs) const
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{ return x * rhs.x + y * rhs.y; }
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/* Return normalised (unit) vector. */
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inline vec<2,T> norm() const
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{ return *this / len(); }
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inline T len() const
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{ return sqrtf(x*x + y*y); }
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inline T lensquared() const
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{ return x*x + y*y; }
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/* Return vector reflected around `n'. Expects `this' and `n' to be unit. */
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inline vec<2,T> ref(const vec<2,T>& n) const
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{ return n * ((*this ^ n) * 2) - *this;}
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inline vec<2,T> refract(const vec<2,T>& n, T ior_ratio) const
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{
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return n * sqrtf(1 - powf(ior_ratio, 2) * (1 - powf(*this ^ n, 2))) + (*this - n * (*this ^ n)) * ior_ratio;
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}
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inline vec<2,T> refract(const vec<2,T>& n, T ior_incident, T ior_refract) const
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{ return refract(n, ior_incident / ior_refract); }
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inline vec<2,T> clamp(const vec<2,T>& from, const vec<2,T>& to) const
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{ return { fmin(fmax(x, from.x), to.x),
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fmin(fmax(y, from.y), to.y) }; }
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inline vec<2,T> exp() const
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{ return { ::exp(x), ::exp(y) }; }
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inline vec<2,T> htan(T exposure = 0) const
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{
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return { powf((tanh(x + exposure) + 1) / 2, 2.2), powf((tanh(y + exposure) + 1) / 2, 2.2) };
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return { tanh(x + exposure), tanh(y + exposure) };
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}
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};
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template<std::floating_point T>
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struct vec<3, T> {
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union {
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T c[3];
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struct {
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T x, y, z;
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};
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};
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vec(T x, T y, T z) : c{x,y,z} {}
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vec(T f) : vec(f,f,f) {}
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vec() : vec(0,0,0) {}
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do_ops(vec, 3);
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inline vec<3,T> operator-(void) const { return {-x, -y, -z}; }
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inline T operator^(const vec& rhs) const
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{ return x * rhs.x + y * rhs.y + z * rhs.z; }
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/* Return normalised (unit) vector. */
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inline vec<3,T> norm() const
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{ return *this / len(); }
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inline T len() const
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{ return sqrtf(x*x + y*y + z*z); }
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inline T lensquared() const
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{ return x*x + y*y + z*z; }
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/* Return vec<3,T>tor reflected around `n'. Expects `this' and `n' to be unit. */
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inline vec<3,T> ref(const vec<3,T>& n) const
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{ return n * ((*this ^ n) * 2) - *this;}
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/* Cross product. */
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inline vec<3,T> cross(const vec<3,T>& b) const
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{ return { y*b.z - z*b.y,
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x*b.z - z*b.x,
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x*b.y - y*b.x }; }
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inline vec<3,T> refract(const vec<3,T>& n, T ior_ratio) const
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{
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return n * sqrtf(1 - powf(ior_ratio, 2) * (1 - powf(*this ^ n, 2))) + (*this - n * (*this ^ n)) * ior_ratio;
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}
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inline vec<3,T> refract(const vec<3,T>& n, T ior_incident, T ior_refract) const
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{ return refract(n, ior_incident / ior_refract); }
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inline vec<3,T> clamp(const vec<3,T>& from, const vec<3,T>& to) const
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{ return { fmin(fmax(x, from.x), to.x),
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fmin(fmax(y, from.y), to.y),
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fmin(fmax(z, from.z), to.z) }; }
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inline vec<3,T> exp() const
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{ return { ::exp(x), ::exp(y), ::exp(z) }; }
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inline vec<3,T> htan(T exposure = 0) const
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{
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return { powf((tanh(x + exposure) + 1) / 2, 2.2), powf((tanh(y + exposure) + 1) / 2, 2.2), powf((tanh(z + exposure) + 1) / 2, 2.2) };
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return { tanh(x + exposure), tanh(y + exposure), tanh(z + exposure) };
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}
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};
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#undef do_ops
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#undef do_op
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#define V3_FMT "v3(%.2f, %.2f, %.2f)"
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#define V3_ARG(v) (v).x, (v).y, (v).z
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#define V2_FMT "v2(%.2f, %.2f)"
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#define V2_ARG(v) (v).x, (v).y
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