Cycles: Vector Rotate Node using Axis and Angle method

This node provides the ability to rotate a vector around a `center` point using either `Axis Angle` , `Single Axis` or `Euler` methods.

Reviewed By: #cycles, brecht

Differential Revision: https://developer.blender.org/D3789

source/blender/gpu/shaders/material/gpu_shader_material_vector_rotate.glsl

@@ -0,0 +1,82 @@
+vec3 rotate_around_axis(vec3 p, vec3 axis, float angle)
+{
+  float costheta = cos(angle);
+  float sintheta = sin(angle);
+  vec3 r;
+
+  r.x = ((costheta + (1.0 - costheta) * axis.x * axis.x) * p.x) +
+        (((1.0 - costheta) * axis.x * axis.y - axis.z * sintheta) * p.y) +
+        (((1.0 - costheta) * axis.x * axis.z + axis.y * sintheta) * p.z);
+
+  r.y = (((1.0 - costheta) * axis.x * axis.y + axis.z * sintheta) * p.x) +
+        ((costheta + (1.0 - costheta) * axis.y * axis.y) * p.y) +
+        (((1.0 - costheta) * axis.y * axis.z - axis.x * sintheta) * p.z);
+
+  r.z = (((1.0 - costheta) * axis.x * axis.z - axis.y * sintheta) * p.x) +
+        (((1.0 - costheta) * axis.y * axis.z + axis.x * sintheta) * p.y) +
+        ((costheta + (1.0 - costheta) * axis.z * axis.z) * p.z);
+
+  return r;
+}
+
+void node_vector_rotate_axis_angle(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = (length(axis) != 0.0) ?
+            rotate_around_axis(vector_in - center, normalize(axis), angle) + center :
+            vector_in;
+}
+
+void node_vector_rotate_axis_x(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = rotate_around_axis(vector_in - center, vec3(1.0, 0.0, 0.0), angle) + center;
+}
+
+void node_vector_rotate_axis_y(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = rotate_around_axis(vector_in - center, vec3(0.0, 1.0, 0.0), angle) + center;
+}
+
+void node_vector_rotate_axis_z(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = rotate_around_axis(vector_in - center, vec3(0.0, 0.0, 1.0), angle) + center;
+}
+
+void node_vector_rotate_euler_xyz(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(rotation) * (vector_in - center) + center;
+}
+
+void node_vector_rotate_euler_xzy(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(-rotation.xzy) * (vector_in - center) + center;
+}
+
+void node_vector_rotate_euler_yxz(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(-rotation.yxz) * (vector_in - center) + center;
+}
+
+void node_vector_rotate_euler_yzx(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(rotation.yzx) * (vector_in - center) + center;
+}
+
+void node_vector_rotate_euler_zxy(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(rotation.zxy) * (vector_in - center) + center;
+}
+
+void node_vector_rotate_euler_zyx(
+    vec3 vector_in, vec3 center, vec3 axis, float angle, vec3 rotation, out vec3 vec)
+{
+  vec = euler_to_mat3(-rotation.zyx) * (vector_in - center) + center;
+}