def transform_vec3(self, v):
"""Transforms a vector and returns the result as a Vector3.
v -- Vector to transform
"""
m = self._m
x, y, z = v
return Vector3.from_floats(x * m[0] + y * m[4] + z * m[8] + m[12],
x * m[1] + y * m[5] + z * m[9] + m[13],
x * m[2] + y * m[6] + z * m[10] + m[14])
def rotate_vec3(self, v):
"""Rotates a Vector3 and returns the result.
The translation part of the Matrix44 is ignored.
v -- Vector to rotate
"""
m = self._m
x, y, z = v
return Vector3.from_floats(x * m[0] + y * m[4] + z * m[8],
x * m[1] + y * m[5] + z * m[9],
x * m[2] + y * m[6] + z * m[10])
def transform_sequence_vec3(self, points):
m_0, m_1, m_2, m_3, \
m_4, m_5, m_6, m_7, \
m_8, m_9, m_10, m_11, \
m_12, m_13, m_14, m_15 = self._m
return [
Vector3.from_floats(x * m_0 + y * m_4 + z * m_8 + m_12,
x * m_1 + y * m_5 + z * m_9 + m_13,
x * m_2 + y * m_6 + z * m_10 + m_14)
for x, y, z in points
]
def get_row_vec3(self, row_no):
"""Returns a Vector3 for a given row.
row_no -- The row index
"""
try:
r = row_no * 4
x, y, z = self._m[r:r + 3]
return Vector3.from_floats(x, y, z)
except IndexError:
raise IndexError("Row and Column should be 0, 1, 2 or 3")
def iter_transform_vec3(self, points):
"""Transforms a sequence of points, and yields the result as Vector3s
points -- A sequence of vectors
"""
m_0, m_1, m_2, m_3, \
m_4, m_5, m_6, m_7, \
m_8, m_9, m_10, m_11, \
m_12, m_13, m_14, m_15 = self._m
for x, y, z in points:
yield Vector3.from_floats(x * m_0 + y * m_4 + z * m_8 + m_12,
x * m_1 + y * m_5 + z * m_9 + m_13,
x * m_2 + y * m_6 + z * m_10 + m_14)