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hyzboy 2021-09-24 20:36:41 +08:00
parent 2493989c5e
commit aa35ff5fb1
1 changed files with 69 additions and 33 deletions
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98
src/Math/Matrix4f.cpp
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@ -3,6 +3,7 @@
// Vulkan Cookbook // Vulkan Cookbook
// ISBN: 9781786468154 // ISBN: 9781786468154
// Packt Publishing Limited // Packt Publishing Limited
// git: https://github.com/PacktPublishing/Vulkan-Cookbook.git
// //
// Author: Pawel Lapinski // Author: Pawel Lapinski
// LinkedIn: https://www.linkedin.com/in/pawel-lapinski-84522329 // LinkedIn: https://www.linkedin.com/in/pawel-lapinski-84522329
@ -23,10 +24,26 @@ namespace hgl
float zfar ) float zfar )
{ {
return Matrix4f( return Matrix4f(
2.0f / (right - left), 0.0f, 0.0f, -(right + left) / (right - left), 2.0f / (right - left),
0.0f, 2.0f / (bottom - top), 0.0f, -(bottom + top) / (bottom - top), 0.0f,
0.0f, 0.0f, 1.0f / (znear - zfar), znear / (znear - zfar), 0.0f,
0.0f, 0.0f, 0.0f, 1.0f); 0.0f,
0.0f,
2.0f / (bottom - top),
0.0f,
0.0f,
0.0f,
0.0f,
1.0f / (znear - zfar),
0.0f,
-(right + left) / (right - left),
-(bottom + top) / (bottom - top),
znear / (znear - zfar),
1.0f
);
} }
/** /**
@ -38,11 +55,7 @@ namespace hgl
*/ */
Matrix4f ortho(float width,float height,float znear,float zfar) Matrix4f ortho(float width,float height,float znear,float zfar)
{ {
return Matrix4f( return ortho(0.0f,width,height,0.0f,znear,zfar);
2.0f / width, 0.0f, 0.0f, -1,
0.0f, 2.0f / height, 0.0f, -1,
0.0f, 0.0f, 1.0f / (znear - zfar), znear / (znear - zfar),
0.0f, 0.0f, 0.0f, 1.0f);
} }
/** /**
@ -52,11 +65,7 @@ namespace hgl
*/ */
Matrix4f ortho(float width,float height) Matrix4f ortho(float width,float height)
{ {
return Matrix4f( return ortho(width,height,0.0f,1.0f);
2.0f / width, 0.0f, 0.0f, -1,
0.0f, 2.0f / height, 0.0f, -1,
0.0f, 0.0f, -1.0f , 0.0f,
0.0f, 0.0f, 0.0f, 1.0f);
} }
/** /**
@ -71,17 +80,27 @@ namespace hgl
float znear, float znear,
float zfar) float zfar)
{ {
const float f = 1.0f / tan( hgl_ang2rad( 0.5f * field_of_view ) );
return Matrix4f( return Matrix4f(
f / aspect_ratio, 0.0f, 0.0f, 0.0f, field_of_view / aspect_ratio,
0.0f, -f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, zfar / (znear - zfar), (znear * zfar) / (znear - zfar), 0.0f,
// ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ 0.0f,
// 某些引擎这两项会乘0.5，那是因为他们是 -1 to 1 的Z值设定，而我们是 0 to 1，所以这里不用乘
// 同理，camera的znear为接近0的正数，zfar为一个较大的正数，默认使用16/256
0.0f, 0.0f, -1.0f, 0.0f); 0.0f,
-field_of_view,
0.0f,
0.0f,
0.0f,
0.0f,
zfar / (znear - zfar),
-1.0f,
0.0f,
0.0f,
(znear * zfar) / (znear - zfar),
0.0f
);
} }
Matrix4f lookat(const Vector4f &eye,const Vector4f &target,const Vector4f &up) Matrix4f lookat(const Vector4f &eye,const Vector4f &target,const Vector4f &up)
@ -96,14 +115,31 @@ namespace hgl
Vector4f nup=cross(right,forward); Vector4f nup=cross(right,forward);
Matrix4f result( right.x, right.y, right.z, 1.0f, //Matrix4f result( right.x, right.y, right.z, 1.0f,
nup.x, nup.y, nup.z, 1.0f, // nup.x, nup.y, nup.z, 1.0f,
-forward.x, -forward.y, -forward.z/2.0f, 1.0f, // -forward.x, -forward.y, -forward.z/2.0f, 1.0f,
0.0f, 0.0f, 0.0f, 1.0f); // 0.0f, 0.0f, 0.0f, 1.0f);
// ^^^^^^
// 某些引擎这里为0.5，那是因为他们是 -1 to 1 的Z值设定，而我们是0 to 1，所以这里不用乘
// 同理，camera的znear为接近0的正数，zfar为一个较大的正数，默认使用16/256
return result*translate(-eye.xyz()); Matrix4f result( right.x,
nup.x,
-forward.x,
0.0f,
right.y,
nup.y,
-forward.y,
0.0f,
right.z,
nup.z,
-forward.z/2.0f,
0.0f,
1.0f,
1.0f,
1.0f,
1.0f);
return result*translate(-Vector3f(eye));
} }
}//namespace hgl }//namespace hgl