frustum_RH_M11

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

pure @safe @nogc nothrow

Mat4!T

frustum_RH_M11

(

)

(

in T l

in T r

in T b

in T t

in T n

in T f

)

Parameters

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

Return Value

Type: Mat4!T

a matrix that maps from eye space to clip space. To obtain NDC, the vector must be divided by w.

Examples

const m = frustum_RH_M11!float(-2, 2, -4, 4, 2, 4);
const vl = fvec(-2, -4, -2);
const vh = fvec(4, 8, -4);
const vc = fvec(0, 0, -3);

auto toNdc(in FVec3 v) {
    const clip = m * fvec(v, 1);
    return (clip / clip.w).xyz;
}

import gfx.math.approx : approxUlp;
assert(approxUlp( toNdc(vl), fvec(-1, 1, -1) ));
assert(approxUlp( toNdc(vh), fvec(1, -1, 1) ));
assert(approxUlp( toNdc(vc), fvec(0, 0, 1f/3f) ));

frustum_RH_M11

Parameters

Return Value

Examples

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