Function ortho_RH_01

Build an orthographic projection matrix with right-hand NDC and [0 .. 1] depth clipping


						
				Mat4!T ortho_RH_01(T)
				(
				

				  in T l,
				

				  in T r,
				

				  in T b,
				

				  in T t,
				

				  in T n,
				

				  in T f
				

				);

Parameters

Name	Description
l	X position of the left plane
r	X position of the right plane
b	Y position of the bottom plane
t	Y position of the top plane
n	distance from origin to near plane (in Z-)
f	distance from origin to far plane (in Z-)

Returns

an affine matrix that maps from eye coordinates to NDC.

Example

import gfx.math.approx : approxUlp;
const m = ortho_RH_01(3f, 5f, -2f, 7f, 1f, 10f);
const vl = vec(3f, -2f, -1f, 1f);
const vh = vec(5f, 7f, -10f, 1f);
const vc = vec(4f, 2.5f, -5.5f, 1f);

assert(approxUlp( m * vl, vec(-1f, 1f, 0f, 1f) ));
assert(approxUlp( m * vh, vec(1f, -1f, 1f, 1f) ));
assert(approxUlp( m * vc, vec(0f, 0f, 0.5f, 1f) ));