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add some common function #9

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46decbb
add some function
vkensou Feb 12, 2025
b61e10e
fix
vkensou Feb 12, 2025
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71 changes: 71 additions & 0 deletions src/zmath.zig
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Original file line number Diff line number Diff line change
Expand Up @@ -55,6 +55,10 @@
// f32x16(e0: f32, e1: f32, e2: f32, e3: f32, e4: f32, e5: f32, e6: f32, e7: f32,
// e8: f32, e9: f32, ea: f32, eb: f32, ec: f32, ed: f32, ee: f32, ef: f32) F32x16
//
// vec4(e0: f32, e1: f32, e2: f32, e3: f32) Vec
// vec3(e0: f32, e1: f32, e2: f32) Vec
// vec2(e0: f32, e1: f32) Vec
//
// f32x4s(e0: f32) F32x4
// f32x8s(e0: f32) F32x8
// f32x16s(e0: f32) F32x16
Expand Down Expand Up @@ -175,6 +179,9 @@
// translationV(v: Vec) Mat
// scaling(x: f32, y: f32, z: f32) Mat
// scalingV(v: Vec) Mat
// trs(_translation: Vec, rotation: Quat, scale: Vec) Mat
// getTranslation(mat: Mat) Vec
// getForward(mat: Mat) Vec
// lookToLh(eyepos: Vec, eyedir: Vec, updir: Vec) Mat
// lookAtLh(eyepos: Vec, focuspos: Vec, updir: Vec) Mat
// lookToRh(eyepos: Vec, eyedir: Vec, updir: Vec) Mat
Expand All @@ -183,10 +190,12 @@
// perspectiveFovRh(fovy: f32, aspect: f32, near: f32, far: f32) Mat
// perspectiveFovLhGl(fovy: f32, aspect: f32, near: f32, far: f32) Mat
// perspectiveFovRhGl(fovy: f32, aspect: f32, near: f32, far: f32) Mat
// perspectiveFovLhDX(fovy: f32, aspect: f32, near: f32, far: f32) Mat
// orthographicLh(w: f32, h: f32, near: f32, far: f32) Mat
// orthographicRh(w: f32, h: f32, near: f32, far: f32) Mat
// orthographicLhGl(w: f32, h: f32, near: f32, far: f32) Mat
// orthographicRhGl(w: f32, h: f32, near: f32, far: f32) Mat
// orthographicLhDX(w: f32, h: f32, near: f32, far: f32) Mat
// orthographicOffCenterLh(left: f32, right: f32, top: f32, bottom: f32, near: f32, far: f32) Mat
// orthographicOffCenterRh(left: f32, right: f32, top: f32, bottom: f32, near: f32, far: f32) Mat
// orthographicOffCenterLhGl(left: f32, right: f32, top: f32, bottom: f32, near: f32, far: f32) Mat
Expand Down Expand Up @@ -304,6 +313,16 @@ pub inline fn f32x16(
}
// zig fmt: on

pub inline fn vec4(e0: f32, e1: f32, e2: f32, e3: f32) Vec {
return f32x4(e0, e1, e2, e3);
}
pub inline fn vec3(e0: f32, e1: f32, e2: f32) Vec {
return f32x4(e0, e1, e2, 0);
}
pub inline fn vec2(e0: f32, e1: f32) Vec {
return f32x4(e0, e1, 0, 0);
}

pub inline fn f32x4s(e0: f32) F32x4 {
return splat(F32x4, e0);
}
Expand Down Expand Up @@ -2264,6 +2283,24 @@ pub fn scalingV(v: Vec) Mat {
return scaling(v[0], v[1], v[2]);
}

pub fn trs(_translation: Vec, rotation: Quat, scale: Vec) Mat {
const rot = matFromQuat(rotation);
return .{
f32x4(rot[0][0], rot[0][1], rot[0][2], 0.0) * f32x4s(scale[0]),
f32x4(rot[1][0], rot[1][1], rot[1][2], 0.0) * f32x4s(scale[1]),
f32x4(rot[2][0], rot[2][1], rot[2][2], 0.0) * f32x4s(scale[2]),
f32x4(_translation[0], _translation[1], _translation[2], 1.0),
};
}

pub fn getTranslation(mat: Mat) Vec {
return vec3(mat[3][0], mat[3][1], mat[3][2]);
}

pub fn getForward(mat: Mat) Vec {
return normalize3(vec3(mat[2][0], mat[2][1], mat[2][2]));
}

pub fn lookToLh(eyepos: Vec, eyedir: Vec, updir: Vec) Mat {
const az = normalize3(eyedir);
const ax = normalize3(cross3(updir, az));
Expand Down Expand Up @@ -2369,6 +2406,25 @@ pub fn perspectiveFovRhGl(fovy: f32, aspect: f32, near: f32, far: f32) Mat {
};
}

// Produces Z values in [1.0, 0.0] range (DirectX defaults)
pub fn perspectiveFovLhDX(fovy: f32, aspect: f32, near: f32, far: f32) Mat {
const scfov = sincos(0.5 * fovy);

std.debug.assert(near > 0.0 and far > 0.0);
std.debug.assert(!std.math.approxEqAbs(f32, scfov[0], 0.0, 0.001));
std.debug.assert(!std.math.approxEqAbs(f32, far, near, 0.001));
std.debug.assert(!std.math.approxEqAbs(f32, aspect, 0.0, 0.01));

const h = scfov[1] / scfov[0];
const w = h / aspect;
return .{
f32x4(w, 0.0, 0.0, 0.0),
f32x4(0.0, h, 0.0, 0.0),
f32x4(0.0, 0.0, near / (near - far), 1.0),
f32x4(0.0, 0.0, -(near * far) / (near - far), 0.0),
};
}

pub fn orthographicLh(w: f32, h: f32, near: f32, far: f32) Mat {
assert(!math.approxEqAbs(f32, w, 0.0, 0.001));
assert(!math.approxEqAbs(f32, h, 0.0, 0.001));
Expand Down Expand Up @@ -2427,6 +2483,21 @@ pub fn orthographicRhGl(w: f32, h: f32, near: f32, far: f32) Mat {
};
}

// Produces Z values in [1.0, 0.0] range (OpenGL defaults)
pub fn orthographicLhDX(w: f32, h: f32, near: f32, far: f32) Mat {
std.debug.assert(!std.math.approxEqAbs(f32, w, 0.0, 0.001));
std.debug.assert(!std.math.approxEqAbs(f32, h, 0.0, 0.001));
std.debug.assert(!std.math.approxEqAbs(f32, far, near, 0.001));

const r = near / (near - far);
return .{
f32x4(2 / w, 0.0, 0.0, 0.0),
f32x4(0.0, 2 / h, 0.0, 0.0),
f32x4(0.0, 0.0, r, 0.0),
f32x4(0.0, 0.0, -r * far, 1.0),
};
}

pub fn orthographicOffCenterLh(left: f32, right: f32, top: f32, bottom: f32, near: f32, far: f32) Mat {
assert(!math.approxEqAbs(f32, far, near, 0.001));

Expand Down