BlackMATov/vmath.hpp
1
0
Fork 0
mirror of https://github.com/BlackMATov/vmath.hpp.git synced 2025-12-14 20:31:25 +07:00
Code Issues Packages Projects Releases Wiki Activity

orthographic and perspective functions

Browse Source
This commit is contained in:
BlackMATov
2020-11-26 06:21:51 +07:00
parent 6c4a1f64f5
commit 15cd3a981e
2 changed files with 143 additions and 2 deletions
Download Patch File Download Diff File Expand all files Collapse all files

135
headers/vmath.hpp/vmath_ext.hpp
View File

@@ -244,7 +244,7 @@ namespace vmath_hpp
// look_at
template < typename T >
constexpr mat<T, 4> look_at_lh(const vec<T, 3>& eye, const vec<T, 3>& at, const vec<T, 3>& up) {
mat<T, 4> look_at_lh(const vec<T, 3>& eye, const vec<T, 3>& at, const vec<T, 3>& up) {
const vec<T, 3> az = normalize(at - eye);
const vec<T, 3> ax = normalize(cross(up, az));
const vec<T, 3> ay = cross(az, ax);
@@ -259,7 +259,7 @@ namespace vmath_hpp
}
template < typename T >
constexpr mat<T, 4> look_at_rh(const vec<T, 3>& eye, const vec<T, 3>& at, const vec<T, 3>& up) {
mat<T, 4> look_at_rh(const vec<T, 3>& eye, const vec<T, 3>& at, const vec<T, 3>& up) {
const vec<T, 3> az = normalize(eye - at);
const vec<T, 3> ax = normalize(cross(up, az));
const vec<T, 3> ay = cross(az, ax);
@@ -274,6 +274,137 @@ namespace vmath_hpp
}
}
//
// Matrix Projections
//
namespace vmath_hpp
{
// orthographic
template < typename T >
mat<T, 4> orthographic_lh_zo(T left, T right, T bottom, T top, T znear, T zfar) {
const T sx = T(2) / (right - left);
const T sy = T(2) / (top - bottom);
const T sz = T(1) / (zfar - znear);
const T tx = - (right + left) / (right - left);
const T ty = - (top + bottom) / (top - bottom);
const T tz = - znear / (zfar - znear);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 0,
tx, ty, tz, 1};
}
template < typename T >
mat<T, 4> orthographic_lh_no(T left, T right, T bottom, T top, T znear, T zfar) {
const T sx = T(2) / (right - left);
const T sy = T(2) / (top - bottom);
const T sz = T(2) / (zfar - znear);
const T tx = - (right + left) / (right - left);
const T ty = - (top + bottom) / (top - bottom);
const T tz = - (zfar + znear) / (zfar - znear);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 0,
tx, ty, tz, 1};
}
template < typename T >
mat<T, 4> orthographic_rh_zo(T left, T right, T bottom, T top, T znear, T zfar) {
const T sx = T(2) / (right - left);
const T sy = T(2) / (top - bottom);
const T sz = -T(1) / (zfar - znear);
const T tx = - (right + left) / (right - left);
const T ty = - (top + bottom) / (top - bottom);
const T tz = - znear / (zfar - znear);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 0,
tx, ty, tz, 1};
}
template < typename T >
mat<T, 4> orthographic_rh_no(T left, T right, T bottom, T top, T znear, T zfar) {
const T sx = T(2) / (right - left);
const T sy = T(2) / (top - bottom);
const T sz = -T(2) / (zfar - znear);
const T tx = - (right + left) / (right - left);
const T ty = - (top + bottom) / (top - bottom);
const T tz = - (zfar + znear) / (zfar - znear);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 0,
tx, ty, tz, 1};
}
// perspective
template < typename T >
mat<T, 4> perspective_lh_zo(T fov, T aspect, T znear, T zfar) {
const T sy = T(1) / tan(fov * T(0.5));
const T sx = sy / aspect;
const T sz = zfar / (zfar - znear);
const T tz = (znear * zfar) / (znear - zfar);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 1,
0, 0, tz, 0};
}
template < typename T >
mat<T, 4> perspective_lh_no(T fov, T aspect, T znear, T zfar) {
const T sy = T(1) / tan(fov * T(0.5));
const T sx = sy / aspect;
const T sz = (zfar + znear) / (zfar - znear);
const T tz = (T(2) * znear * zfar) / (znear - zfar);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, 1,
0, 0, tz, 0};
}
template < typename T >
mat<T, 4> perspective_rh_zo(T fov, T aspect, T znear, T zfar) {
const T sy = T(1) / tan(fov * T(0.5));
const T sx = sy / aspect;
const T sz = zfar / (znear - zfar);
const T tz = (znear * zfar) / (znear - zfar);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, -1,
0, 0, tz, 0};
}
template < typename T >
mat<T, 4> perspective_rh_no(T fov, T aspect, T znear, T zfar) {
const T sy = T(1) / tan(fov * T(0.5));
const T sx = sy / aspect;
const T sz = (zfar + znear) / (znear - zfar);
const T tz = (T(2) * znear * zfar) / (znear - zfar);
return {
sx, 0, 0, 0,
0, sy, 0, 0,
0, 0, sz, -1,
0, 0, tz, 0};
}
}
//
// Vector Transform
//

10
untests/vmath_ext_tests.cpp
View File

@@ -134,6 +134,16 @@ TEST_CASE("vmath/ext") {
SECTION("matrix look_at") {
look_at_lh(float3(-10.f), float3(0.f), float3(0,-1,0));
look_at_rh(float3(-10.f), float3(0.f), float3(0,-1,0));
orthographic_lh_zo(0.f, 800.f, 0.f, 640.f, 0.f, 10.f);
orthographic_lh_no(0.f, 800.f, 0.f, 640.f, 0.f, 10.f);
orthographic_rh_zo(0.f, 800.f, 0.f, 640.f, 0.f, 10.f);
orthographic_rh_no(0.f, 800.f, 0.f, 640.f, 0.f, 10.f);
perspective_lh_zo(1.f, 1.3f, 0.f, 10.f);
perspective_lh_no(1.f, 1.3f, 0.f, 10.f);
perspective_rh_zo(1.f, 1.3f, 0.f, 10.f);
perspective_rh_no(1.f, 1.3f, 0.f, 10.f);
}
SECTION("vector angle") {