From a1763c51eb57525674b885209755e46a3e8b9310 Mon Sep 17 00:00:00 2001
From: Andrew Guschin <saintruler@gmail.com>
Date: Sat, 28 Nov 2020 20:42:24 +0400
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---
 task06/Guschin/Transform.h | 64 ++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 64 insertions(+)

(limited to 'task06/Guschin/Transform.h')

diff --git a/task06/Guschin/Transform.h b/task06/Guschin/Transform.h
index d1b0af5..9c3b662 100644
--- a/task06/Guschin/Transform.h
+++ b/task06/Guschin/Transform.h
@@ -48,6 +48,70 @@ mat3 rotate(float theta)
 	return *res;
 }
 
+mat4 rotate(float theta, vec3 n)
+{
+	n = norm(n);
+	mat3 nCross = crossM(n);
+	mat3 id = mat3(1.f);
+	mat3 m1 = id + nCross * sin(theta);
+	mat3 m2 = nCross * (nCross * (1.f - cos(theta)));
+	mat3 m = m1 + m2;
+	
+	return mat4(vec4(m[0], 0.f),
+				vec4(m[1], 0.f),
+				vec4(m[2], 0.f),
+				vec4(0.f, 0.f, 0.f, 0.f));
+}
+
+mat4 rotateP(float theta, vec3 n, vec3 P) {
+	return translate(P.x, P.y, P.z) * 
+		   (rotate(theta, n) * translate(-P.x, -P.y, -P.z));
+}
+
+mat4 lookAt(vec3 S, vec3 P, vec3 u) {
+	vec3 e3 = S - P;
+	e3 *= 1.f / length(e3);
+
+	vec3 e1 = cross(u, e3);
+	e1 *= 1.f / length(e1);
+	
+	vec3 e2 = cross(e3, e1);
+	e2 *= 1.f / length(e2);
+
+	mat4 T = translate(-S.x, -S.y, -S.z);
+	return mat4(vec4(e1, 0.f),
+				vec4(e2, 0.f),
+				vec4(e3, 0.f),
+				vec4(0.f, 0.f, 0.f, 1.f)) * T;
+}
+
+mat4 ortho(float l, float r, float b, float t, float zn, float zf) {
+	return mat4(
+		vec4(2.f / (r - l), 0.f, 0.f, -(r + l) / (r - l)),
+		vec4(0.f, 2.f / (t - b),  0.f, -(t + b) / (t - b)),
+		vec4(0.f, 0.f, -2 / (zf - zn), -(zf + zn) / (zf - zn)),
+		vec4(0.f, 0.f, 0.f, 1.f));
+}
+mat4 frustum(float l, float r, float b, float t, float n, float f) {
+	return mat4(
+		vec4(2.f * n / (r - l), 0.f, (r + l) / (r - l), 0.f),
+		vec4(0.f, 2.f * n / (t - b),  (t + b) / (t - b), 0.f),
+		vec4(0.f, 0.f, -(f + n) / (f - n), -(2.f * f * n) / (f - n)),
+		vec4(0.f, 0.f, -1.f, 0.f));
+}
+mat4 perspective(float fovy, float aspect, float n, float f) {
+	return mat4(
+		vec4(1.f / aspect / tanf(fovy / 2.f), 0.f, 0.f, 0.f),
+		vec4(0.f, 1.f / tanf(fovy / 2.f), 0.f, 0.f),
+		vec4(0.f, 0.f, -(f + n) / (f - n), -2.f * f * n / (f - n)),
+		vec4(0.f, 0.f, -1.f, 0.f));
+}
+
+mat3 cadrRL(vec2 Vc, vec2 V, vec2 Wc, vec2 W) {
+	return translate(Wc.x, Wc.y) *
+		   (scale(W.x / V.x, -W.y / V.y) * translate(-Vc.x, -Vc.y));
+}
+
 mat3 mirrorX()
 {
 	mat3* res = new mat3(1.f);
-- 
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