Mathutils refactor & include in sphinx generated docs, (TODO, include getset'ers in docs)

- Mathutils.MidpointVecs --> vector.lerp(other, fac)
 - Mathutils.AngleBetweenVecs --> vector.angle(other)
 - Mathutils.ProjectVecs --> vector.project(other)
 - Mathutils.DifferenceQuats --> quat.difference(other)
 - Mathutils.Slerp --> quat.slerp(other, fac)
 - Mathutils.Rand: removed, use pythons random module
 - Mathutils.RotationMatrix(angle, size, axis_flag, axis) --> Mathutils.RotationMatrix(angle, size, axis); merge axis & axis_flag args
 - Matrix.scalePart --> Matrix.scale_part
 - Matrix.translationPart --> Matrix.translation_part
 - Matrix.rotationPart --> Matrix.rotation_part
 - toMatrix --> to_matrix
 - toEuler --> to_euler
 - toQuat --> to_quat
 - Vector.toTrackQuat --> Vector.to_track_quat

release/scripts/modules/rigify/delta.py

@@ -127,8 +127,8 @@ def main(obj, bone_definition, base_names, options):
 
     delta_pbone.rotation_mode = 'XYZ'
 
-    rot = delta_pmatrix.invert().rotationPart() * child_pmatrix.rotationPart()
-    rot = rot.invert().toEuler()
+    rot = delta_pmatrix.invert().rotation_part() * child_pmatrix.rotation_part()
+    rot = rot.invert().to_euler()
 
     fcurve_drivers = delta_pbone.driver_add("rotation_euler", -1)
     for i, fcurve_driver in enumerate(fcurve_drivers):
@@ -141,7 +141,7 @@ def main(obj, bone_definition, base_names, options):
         mod.coefficients[1] = 0.0
 
     # tricky, find the transform to drive the bone to this location.
-    delta_head_offset = child_pmatrix.rotationPart() * (delta_phead - child_phead)
+    delta_head_offset = child_pmatrix.rotation_part() * (delta_phead - child_phead)
 
     fcurve_drivers = delta_pbone.driver_add("location", -1)
     for i, fcurve_driver in enumerate(fcurve_drivers):

release/scripts/modules/rigify/leg_quadruped.py

@@ -157,7 +157,7 @@ def ik(obj, bone_definition, base_names, options):
     ik.foot_roll_e.parent = ik_chain.foot_e
     ik.foot_roll_e.head -= mt_chain.toe_e.vector.normalize() * mt_chain.foot_e.length
     ik.foot_roll_e.tail = ik.foot_roll_e.head - (mt_chain.foot_e.vector.normalize() * mt_chain.toe_e.length)
-    ik.foot_roll_e.align_roll(mt_chain.foot_e.matrix.rotationPart() * Vector(0.0, 0.0, -1.0))
+    ik.foot_roll_e.align_roll(mt_chain.foot_e.matrix.rotation_part() * Vector(0.0, 0.0, -1.0))
 
     # MCH-foot
     ik.foot_roll_01_e = copy_bone_simple(arm, mt_chain.foot, "MCH-" + base_names[mt_chain.foot])

release/scripts/modules/rigify/mouth.py

@@ -255,8 +255,8 @@ def deform(obj, definitions, base_names, options):
     bpy.ops.object.mode_set(mode='EDIT')
     
     # Calculate the rotation difference between the bones
-    rotdiff_r = acos(eb[lip1].matrix.toQuat() * eb[lip8].matrix.toQuat()) * 2
-    rotdiff_l = acos(eb[lip4].matrix.toQuat() * eb[lip5].matrix.toQuat()) * 2
+    rotdiff_r = acos(eb[lip1].matrix.to_quat() * eb[lip8].matrix.to_quat()) * 2
+    rotdiff_l = acos(eb[lip4].matrix.to_quat() * eb[lip5].matrix.to_quat()) * 2
     
     print (rotdiff_l)
     

release/scripts/modules/rigify/palm_curl.py

@@ -249,15 +249,15 @@ def main(obj, bone_definition, base_names, options):
         # NOTE: the direction of the Z rotation depends on which side the palm is on.
         # we could do a simple side-of-x test but better to work out the direction
         # the hand is facing.
-        from Mathutils import Vector, AngleBetweenVecs
+        from Mathutils import Vector
         from math import degrees
         child_pbone_01 = obj.pose.bones[children[0]].bone
         child_pbone_02 = obj.pose.bones[children[1]].bone
 
         rel_vec = child_pbone_01.head - child_pbone_02.head
-        x_vec = child_pbone_01.matrix.rotationPart() * Vector(1.0, 0.0, 0.0)
+        x_vec = child_pbone_01.matrix.rotation_part() * Vector(1.0, 0.0, 0.0)
 
-        return degrees(AngleBetweenVecs(rel_vec, x_vec)) > 90.0
+        return degrees(rel_vec.angle(x_vec)) > 90.0
 
     if x_direction(): # flip
         driver.expression = "-(%s)" % driver.expression

release/scripts/modules/rigify/shape_key_rotdiff.py

@@ -111,7 +111,7 @@ def deform(obj, definitions, base_names, options):
         
     
     # Calculate the rotation difference between the bones
-    rotdiff = (eb[bone_from].matrix.toQuat() * eb[bone_to].matrix.toQuat()) * 2
+    rotdiff = (eb[bone_from].matrix.to_quat() * eb[bone_to].matrix.to_quat()) * 2
     
     bpy.ops.object.mode_set(mode='OBJECT')