ch3 how the orthographic projection matrix computed?

[changkaizhao]

when drawing background texture, how does its orthographic projection matrix computed?
it gave as below

static const GLfloat proj[] =
{
  0,        -2.f/w,     0,      0,
  -2.f/h,      0,       0,       0,
  0,              0,       1,       0,
  1,               1,        0,       1
};

but I found the orthographic projection matrix has the structure like this: https://www.scratchapixel.com/lessons/3d-basic-rendering/perspective-and-orthographic-projection-matrix/orthographic-projection-matrix

[
 2/(r-l)     0         0           -(r+l)/(r-l)
 0          2/(t-b)   0         -(t+b)/(t-b)
0             0         -2/(f-n)     -(f+n)/(f-n)
0            0           0                   1
]

[changkaizhao]

I think the texture vertices are not in correct order. so it needs to inverse the projection matrix to give a correct drawing on the screen.
if modify the texture vertices in correct order.

static const GLfloat textureVertices[] =
     {
     0, 1,
     1, 1,
     0, 0,
     1, 0
     };

then we can apply the projection matrix like this:

    GLfloat proj2[] =
    {
        2.0/w, 0, 0, 0,
        0, 2.0/h, 0, 0,
        0, 0, -1, 0,
        -1, -1, 0, 1
    };