# -----------------------------------------------------------------------------
# This file was autogenerated by symforce from template:
# ops/CLASS/group_ops.py.jinja
# Do NOT modify by hand.
# -----------------------------------------------------------------------------
# ruff: noqa: PLR0915, F401, PLW0211, PLR0914
from __future__ import annotations
import math
import typing as T
import numpy
import sym
[docs]class GroupOps(object):
"""
Python GroupOps implementation for :py:class:`symforce.cam.spherical_camera_cal.SphericalCameraCal`.
"""
[docs] @staticmethod
def identity() -> sym.SphericalCameraCal:
# Total ops: 0
# Input arrays
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])
return _res
[docs] @staticmethod
def inverse(a: sym.SphericalCameraCal) -> sym.SphericalCameraCal:
# Total ops: 11
# Input arrays
_a = a.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
-_a[0],
-_a[1],
-_a[2],
-_a[3],
-_a[4],
-_a[5],
-_a[6],
-_a[7],
-_a[8],
-_a[9],
-_a[10],
]
)
return _res
[docs] @staticmethod
def compose(a: sym.SphericalCameraCal, b: sym.SphericalCameraCal) -> sym.SphericalCameraCal:
# Total ops: 11
# Input arrays
_a = a.data
_b = b.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
_a[0] + _b[0],
_a[1] + _b[1],
_a[2] + _b[2],
_a[3] + _b[3],
_a[4] + _b[4],
_a[5] + _b[5],
_a[6] + _b[6],
_a[7] + _b[7],
_a[8] + _b[8],
_a[9] + _b[9],
_a[10] + _b[10],
]
)
return _res
[docs] @staticmethod
def between(a: sym.SphericalCameraCal, b: sym.SphericalCameraCal) -> sym.SphericalCameraCal:
# Total ops: 11
# Input arrays
_a = a.data
_b = b.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
-_a[0] + _b[0],
-_a[1] + _b[1],
-_a[2] + _b[2],
-_a[3] + _b[3],
-_a[4] + _b[4],
-_a[5] + _b[5],
-_a[6] + _b[6],
-_a[7] + _b[7],
-_a[8] + _b[8],
-_a[9] + _b[9],
-_a[10] + _b[10],
]
)
return _res
[docs] @staticmethod
def inverse_with_jacobian(
a: sym.SphericalCameraCal,
) -> tuple[sym.SphericalCameraCal, numpy.ndarray]:
# Total ops: 11
# Input arrays
_a = a.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
-_a[0],
-_a[1],
-_a[2],
-_a[3],
-_a[4],
-_a[5],
-_a[6],
-_a[7],
-_a[8],
-_a[9],
-_a[10],
]
)
_res_D_a = numpy.zeros((11, 11))
_res_D_a[0, 0] = -1
_res_D_a[1, 0] = 0
_res_D_a[2, 0] = 0
_res_D_a[3, 0] = 0
_res_D_a[4, 0] = 0
_res_D_a[5, 0] = 0
_res_D_a[6, 0] = 0
_res_D_a[7, 0] = 0
_res_D_a[8, 0] = 0
_res_D_a[9, 0] = 0
_res_D_a[10, 0] = 0
_res_D_a[0, 1] = 0
_res_D_a[1, 1] = -1
_res_D_a[2, 1] = 0
_res_D_a[3, 1] = 0
_res_D_a[4, 1] = 0
_res_D_a[5, 1] = 0
_res_D_a[6, 1] = 0
_res_D_a[7, 1] = 0
_res_D_a[8, 1] = 0
_res_D_a[9, 1] = 0
_res_D_a[10, 1] = 0
_res_D_a[0, 2] = 0
_res_D_a[1, 2] = 0
_res_D_a[2, 2] = -1
_res_D_a[3, 2] = 0
_res_D_a[4, 2] = 0
_res_D_a[5, 2] = 0
_res_D_a[6, 2] = 0
_res_D_a[7, 2] = 0
_res_D_a[8, 2] = 0
_res_D_a[9, 2] = 0
_res_D_a[10, 2] = 0
_res_D_a[0, 3] = 0
_res_D_a[1, 3] = 0
_res_D_a[2, 3] = 0
_res_D_a[3, 3] = -1
_res_D_a[4, 3] = 0
_res_D_a[5, 3] = 0
_res_D_a[6, 3] = 0
_res_D_a[7, 3] = 0
_res_D_a[8, 3] = 0
_res_D_a[9, 3] = 0
_res_D_a[10, 3] = 0
_res_D_a[0, 4] = 0
_res_D_a[1, 4] = 0
_res_D_a[2, 4] = 0
_res_D_a[3, 4] = 0
_res_D_a[4, 4] = -1
_res_D_a[5, 4] = 0
_res_D_a[6, 4] = 0
_res_D_a[7, 4] = 0
_res_D_a[8, 4] = 0
_res_D_a[9, 4] = 0
_res_D_a[10, 4] = 0
_res_D_a[0, 5] = 0
_res_D_a[1, 5] = 0
_res_D_a[2, 5] = 0
_res_D_a[3, 5] = 0
_res_D_a[4, 5] = 0
_res_D_a[5, 5] = -1
_res_D_a[6, 5] = 0
_res_D_a[7, 5] = 0
_res_D_a[8, 5] = 0
_res_D_a[9, 5] = 0
_res_D_a[10, 5] = 0
_res_D_a[0, 6] = 0
_res_D_a[1, 6] = 0
_res_D_a[2, 6] = 0
_res_D_a[3, 6] = 0
_res_D_a[4, 6] = 0
_res_D_a[5, 6] = 0
_res_D_a[6, 6] = -1
_res_D_a[7, 6] = 0
_res_D_a[8, 6] = 0
_res_D_a[9, 6] = 0
_res_D_a[10, 6] = 0
_res_D_a[0, 7] = 0
_res_D_a[1, 7] = 0
_res_D_a[2, 7] = 0
_res_D_a[3, 7] = 0
_res_D_a[4, 7] = 0
_res_D_a[5, 7] = 0
_res_D_a[6, 7] = 0
_res_D_a[7, 7] = -1
_res_D_a[8, 7] = 0
_res_D_a[9, 7] = 0
_res_D_a[10, 7] = 0
_res_D_a[0, 8] = 0
_res_D_a[1, 8] = 0
_res_D_a[2, 8] = 0
_res_D_a[3, 8] = 0
_res_D_a[4, 8] = 0
_res_D_a[5, 8] = 0
_res_D_a[6, 8] = 0
_res_D_a[7, 8] = 0
_res_D_a[8, 8] = -1
_res_D_a[9, 8] = 0
_res_D_a[10, 8] = 0
_res_D_a[0, 9] = 0
_res_D_a[1, 9] = 0
_res_D_a[2, 9] = 0
_res_D_a[3, 9] = 0
_res_D_a[4, 9] = 0
_res_D_a[5, 9] = 0
_res_D_a[6, 9] = 0
_res_D_a[7, 9] = 0
_res_D_a[8, 9] = 0
_res_D_a[9, 9] = -1
_res_D_a[10, 9] = 0
_res_D_a[0, 10] = 0
_res_D_a[1, 10] = 0
_res_D_a[2, 10] = 0
_res_D_a[3, 10] = 0
_res_D_a[4, 10] = 0
_res_D_a[5, 10] = 0
_res_D_a[6, 10] = 0
_res_D_a[7, 10] = 0
_res_D_a[8, 10] = 0
_res_D_a[9, 10] = 0
_res_D_a[10, 10] = -1
return _res, _res_D_a
[docs] @staticmethod
def compose_with_jacobians(
a: sym.SphericalCameraCal, b: sym.SphericalCameraCal
) -> tuple[sym.SphericalCameraCal, numpy.ndarray, numpy.ndarray]:
# Total ops: 11
# Input arrays
_a = a.data
_b = b.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
_a[0] + _b[0],
_a[1] + _b[1],
_a[2] + _b[2],
_a[3] + _b[3],
_a[4] + _b[4],
_a[5] + _b[5],
_a[6] + _b[6],
_a[7] + _b[7],
_a[8] + _b[8],
_a[9] + _b[9],
_a[10] + _b[10],
]
)
_res_D_a = numpy.zeros((11, 11))
_res_D_a[0, 0] = 1
_res_D_a[1, 0] = 0
_res_D_a[2, 0] = 0
_res_D_a[3, 0] = 0
_res_D_a[4, 0] = 0
_res_D_a[5, 0] = 0
_res_D_a[6, 0] = 0
_res_D_a[7, 0] = 0
_res_D_a[8, 0] = 0
_res_D_a[9, 0] = 0
_res_D_a[10, 0] = 0
_res_D_a[0, 1] = 0
_res_D_a[1, 1] = 1
_res_D_a[2, 1] = 0
_res_D_a[3, 1] = 0
_res_D_a[4, 1] = 0
_res_D_a[5, 1] = 0
_res_D_a[6, 1] = 0
_res_D_a[7, 1] = 0
_res_D_a[8, 1] = 0
_res_D_a[9, 1] = 0
_res_D_a[10, 1] = 0
_res_D_a[0, 2] = 0
_res_D_a[1, 2] = 0
_res_D_a[2, 2] = 1
_res_D_a[3, 2] = 0
_res_D_a[4, 2] = 0
_res_D_a[5, 2] = 0
_res_D_a[6, 2] = 0
_res_D_a[7, 2] = 0
_res_D_a[8, 2] = 0
_res_D_a[9, 2] = 0
_res_D_a[10, 2] = 0
_res_D_a[0, 3] = 0
_res_D_a[1, 3] = 0
_res_D_a[2, 3] = 0
_res_D_a[3, 3] = 1
_res_D_a[4, 3] = 0
_res_D_a[5, 3] = 0
_res_D_a[6, 3] = 0
_res_D_a[7, 3] = 0
_res_D_a[8, 3] = 0
_res_D_a[9, 3] = 0
_res_D_a[10, 3] = 0
_res_D_a[0, 4] = 0
_res_D_a[1, 4] = 0
_res_D_a[2, 4] = 0
_res_D_a[3, 4] = 0
_res_D_a[4, 4] = 1
_res_D_a[5, 4] = 0
_res_D_a[6, 4] = 0
_res_D_a[7, 4] = 0
_res_D_a[8, 4] = 0
_res_D_a[9, 4] = 0
_res_D_a[10, 4] = 0
_res_D_a[0, 5] = 0
_res_D_a[1, 5] = 0
_res_D_a[2, 5] = 0
_res_D_a[3, 5] = 0
_res_D_a[4, 5] = 0
_res_D_a[5, 5] = 1
_res_D_a[6, 5] = 0
_res_D_a[7, 5] = 0
_res_D_a[8, 5] = 0
_res_D_a[9, 5] = 0
_res_D_a[10, 5] = 0
_res_D_a[0, 6] = 0
_res_D_a[1, 6] = 0
_res_D_a[2, 6] = 0
_res_D_a[3, 6] = 0
_res_D_a[4, 6] = 0
_res_D_a[5, 6] = 0
_res_D_a[6, 6] = 1
_res_D_a[7, 6] = 0
_res_D_a[8, 6] = 0
_res_D_a[9, 6] = 0
_res_D_a[10, 6] = 0
_res_D_a[0, 7] = 0
_res_D_a[1, 7] = 0
_res_D_a[2, 7] = 0
_res_D_a[3, 7] = 0
_res_D_a[4, 7] = 0
_res_D_a[5, 7] = 0
_res_D_a[6, 7] = 0
_res_D_a[7, 7] = 1
_res_D_a[8, 7] = 0
_res_D_a[9, 7] = 0
_res_D_a[10, 7] = 0
_res_D_a[0, 8] = 0
_res_D_a[1, 8] = 0
_res_D_a[2, 8] = 0
_res_D_a[3, 8] = 0
_res_D_a[4, 8] = 0
_res_D_a[5, 8] = 0
_res_D_a[6, 8] = 0
_res_D_a[7, 8] = 0
_res_D_a[8, 8] = 1
_res_D_a[9, 8] = 0
_res_D_a[10, 8] = 0
_res_D_a[0, 9] = 0
_res_D_a[1, 9] = 0
_res_D_a[2, 9] = 0
_res_D_a[3, 9] = 0
_res_D_a[4, 9] = 0
_res_D_a[5, 9] = 0
_res_D_a[6, 9] = 0
_res_D_a[7, 9] = 0
_res_D_a[8, 9] = 0
_res_D_a[9, 9] = 1
_res_D_a[10, 9] = 0
_res_D_a[0, 10] = 0
_res_D_a[1, 10] = 0
_res_D_a[2, 10] = 0
_res_D_a[3, 10] = 0
_res_D_a[4, 10] = 0
_res_D_a[5, 10] = 0
_res_D_a[6, 10] = 0
_res_D_a[7, 10] = 0
_res_D_a[8, 10] = 0
_res_D_a[9, 10] = 0
_res_D_a[10, 10] = 1
_res_D_b = numpy.zeros((11, 11))
_res_D_b[0, 0] = 1
_res_D_b[1, 0] = 0
_res_D_b[2, 0] = 0
_res_D_b[3, 0] = 0
_res_D_b[4, 0] = 0
_res_D_b[5, 0] = 0
_res_D_b[6, 0] = 0
_res_D_b[7, 0] = 0
_res_D_b[8, 0] = 0
_res_D_b[9, 0] = 0
_res_D_b[10, 0] = 0
_res_D_b[0, 1] = 0
_res_D_b[1, 1] = 1
_res_D_b[2, 1] = 0
_res_D_b[3, 1] = 0
_res_D_b[4, 1] = 0
_res_D_b[5, 1] = 0
_res_D_b[6, 1] = 0
_res_D_b[7, 1] = 0
_res_D_b[8, 1] = 0
_res_D_b[9, 1] = 0
_res_D_b[10, 1] = 0
_res_D_b[0, 2] = 0
_res_D_b[1, 2] = 0
_res_D_b[2, 2] = 1
_res_D_b[3, 2] = 0
_res_D_b[4, 2] = 0
_res_D_b[5, 2] = 0
_res_D_b[6, 2] = 0
_res_D_b[7, 2] = 0
_res_D_b[8, 2] = 0
_res_D_b[9, 2] = 0
_res_D_b[10, 2] = 0
_res_D_b[0, 3] = 0
_res_D_b[1, 3] = 0
_res_D_b[2, 3] = 0
_res_D_b[3, 3] = 1
_res_D_b[4, 3] = 0
_res_D_b[5, 3] = 0
_res_D_b[6, 3] = 0
_res_D_b[7, 3] = 0
_res_D_b[8, 3] = 0
_res_D_b[9, 3] = 0
_res_D_b[10, 3] = 0
_res_D_b[0, 4] = 0
_res_D_b[1, 4] = 0
_res_D_b[2, 4] = 0
_res_D_b[3, 4] = 0
_res_D_b[4, 4] = 1
_res_D_b[5, 4] = 0
_res_D_b[6, 4] = 0
_res_D_b[7, 4] = 0
_res_D_b[8, 4] = 0
_res_D_b[9, 4] = 0
_res_D_b[10, 4] = 0
_res_D_b[0, 5] = 0
_res_D_b[1, 5] = 0
_res_D_b[2, 5] = 0
_res_D_b[3, 5] = 0
_res_D_b[4, 5] = 0
_res_D_b[5, 5] = 1
_res_D_b[6, 5] = 0
_res_D_b[7, 5] = 0
_res_D_b[8, 5] = 0
_res_D_b[9, 5] = 0
_res_D_b[10, 5] = 0
_res_D_b[0, 6] = 0
_res_D_b[1, 6] = 0
_res_D_b[2, 6] = 0
_res_D_b[3, 6] = 0
_res_D_b[4, 6] = 0
_res_D_b[5, 6] = 0
_res_D_b[6, 6] = 1
_res_D_b[7, 6] = 0
_res_D_b[8, 6] = 0
_res_D_b[9, 6] = 0
_res_D_b[10, 6] = 0
_res_D_b[0, 7] = 0
_res_D_b[1, 7] = 0
_res_D_b[2, 7] = 0
_res_D_b[3, 7] = 0
_res_D_b[4, 7] = 0
_res_D_b[5, 7] = 0
_res_D_b[6, 7] = 0
_res_D_b[7, 7] = 1
_res_D_b[8, 7] = 0
_res_D_b[9, 7] = 0
_res_D_b[10, 7] = 0
_res_D_b[0, 8] = 0
_res_D_b[1, 8] = 0
_res_D_b[2, 8] = 0
_res_D_b[3, 8] = 0
_res_D_b[4, 8] = 0
_res_D_b[5, 8] = 0
_res_D_b[6, 8] = 0
_res_D_b[7, 8] = 0
_res_D_b[8, 8] = 1
_res_D_b[9, 8] = 0
_res_D_b[10, 8] = 0
_res_D_b[0, 9] = 0
_res_D_b[1, 9] = 0
_res_D_b[2, 9] = 0
_res_D_b[3, 9] = 0
_res_D_b[4, 9] = 0
_res_D_b[5, 9] = 0
_res_D_b[6, 9] = 0
_res_D_b[7, 9] = 0
_res_D_b[8, 9] = 0
_res_D_b[9, 9] = 1
_res_D_b[10, 9] = 0
_res_D_b[0, 10] = 0
_res_D_b[1, 10] = 0
_res_D_b[2, 10] = 0
_res_D_b[3, 10] = 0
_res_D_b[4, 10] = 0
_res_D_b[5, 10] = 0
_res_D_b[6, 10] = 0
_res_D_b[7, 10] = 0
_res_D_b[8, 10] = 0
_res_D_b[9, 10] = 0
_res_D_b[10, 10] = 1
return _res, _res_D_a, _res_D_b
[docs] @staticmethod
def between_with_jacobians(
a: sym.SphericalCameraCal, b: sym.SphericalCameraCal
) -> tuple[sym.SphericalCameraCal, numpy.ndarray, numpy.ndarray]:
# Total ops: 11
# Input arrays
_a = a.data
_b = b.data
# Intermediate terms (0)
# Output terms
_res = sym.SphericalCameraCal.from_storage(
[
-_a[0] + _b[0],
-_a[1] + _b[1],
-_a[2] + _b[2],
-_a[3] + _b[3],
-_a[4] + _b[4],
-_a[5] + _b[5],
-_a[6] + _b[6],
-_a[7] + _b[7],
-_a[8] + _b[8],
-_a[9] + _b[9],
-_a[10] + _b[10],
]
)
_res_D_a = numpy.zeros((11, 11))
_res_D_a[0, 0] = -1
_res_D_a[1, 0] = 0
_res_D_a[2, 0] = 0
_res_D_a[3, 0] = 0
_res_D_a[4, 0] = 0
_res_D_a[5, 0] = 0
_res_D_a[6, 0] = 0
_res_D_a[7, 0] = 0
_res_D_a[8, 0] = 0
_res_D_a[9, 0] = 0
_res_D_a[10, 0] = 0
_res_D_a[0, 1] = 0
_res_D_a[1, 1] = -1
_res_D_a[2, 1] = 0
_res_D_a[3, 1] = 0
_res_D_a[4, 1] = 0
_res_D_a[5, 1] = 0
_res_D_a[6, 1] = 0
_res_D_a[7, 1] = 0
_res_D_a[8, 1] = 0
_res_D_a[9, 1] = 0
_res_D_a[10, 1] = 0
_res_D_a[0, 2] = 0
_res_D_a[1, 2] = 0
_res_D_a[2, 2] = -1
_res_D_a[3, 2] = 0
_res_D_a[4, 2] = 0
_res_D_a[5, 2] = 0
_res_D_a[6, 2] = 0
_res_D_a[7, 2] = 0
_res_D_a[8, 2] = 0
_res_D_a[9, 2] = 0
_res_D_a[10, 2] = 0
_res_D_a[0, 3] = 0
_res_D_a[1, 3] = 0
_res_D_a[2, 3] = 0
_res_D_a[3, 3] = -1
_res_D_a[4, 3] = 0
_res_D_a[5, 3] = 0
_res_D_a[6, 3] = 0
_res_D_a[7, 3] = 0
_res_D_a[8, 3] = 0
_res_D_a[9, 3] = 0
_res_D_a[10, 3] = 0
_res_D_a[0, 4] = 0
_res_D_a[1, 4] = 0
_res_D_a[2, 4] = 0
_res_D_a[3, 4] = 0
_res_D_a[4, 4] = -1
_res_D_a[5, 4] = 0
_res_D_a[6, 4] = 0
_res_D_a[7, 4] = 0
_res_D_a[8, 4] = 0
_res_D_a[9, 4] = 0
_res_D_a[10, 4] = 0
_res_D_a[0, 5] = 0
_res_D_a[1, 5] = 0
_res_D_a[2, 5] = 0
_res_D_a[3, 5] = 0
_res_D_a[4, 5] = 0
_res_D_a[5, 5] = -1
_res_D_a[6, 5] = 0
_res_D_a[7, 5] = 0
_res_D_a[8, 5] = 0
_res_D_a[9, 5] = 0
_res_D_a[10, 5] = 0
_res_D_a[0, 6] = 0
_res_D_a[1, 6] = 0
_res_D_a[2, 6] = 0
_res_D_a[3, 6] = 0
_res_D_a[4, 6] = 0
_res_D_a[5, 6] = 0
_res_D_a[6, 6] = -1
_res_D_a[7, 6] = 0
_res_D_a[8, 6] = 0
_res_D_a[9, 6] = 0
_res_D_a[10, 6] = 0
_res_D_a[0, 7] = 0
_res_D_a[1, 7] = 0
_res_D_a[2, 7] = 0
_res_D_a[3, 7] = 0
_res_D_a[4, 7] = 0
_res_D_a[5, 7] = 0
_res_D_a[6, 7] = 0
_res_D_a[7, 7] = -1
_res_D_a[8, 7] = 0
_res_D_a[9, 7] = 0
_res_D_a[10, 7] = 0
_res_D_a[0, 8] = 0
_res_D_a[1, 8] = 0
_res_D_a[2, 8] = 0
_res_D_a[3, 8] = 0
_res_D_a[4, 8] = 0
_res_D_a[5, 8] = 0
_res_D_a[6, 8] = 0
_res_D_a[7, 8] = 0
_res_D_a[8, 8] = -1
_res_D_a[9, 8] = 0
_res_D_a[10, 8] = 0
_res_D_a[0, 9] = 0
_res_D_a[1, 9] = 0
_res_D_a[2, 9] = 0
_res_D_a[3, 9] = 0
_res_D_a[4, 9] = 0
_res_D_a[5, 9] = 0
_res_D_a[6, 9] = 0
_res_D_a[7, 9] = 0
_res_D_a[8, 9] = 0
_res_D_a[9, 9] = -1
_res_D_a[10, 9] = 0
_res_D_a[0, 10] = 0
_res_D_a[1, 10] = 0
_res_D_a[2, 10] = 0
_res_D_a[3, 10] = 0
_res_D_a[4, 10] = 0
_res_D_a[5, 10] = 0
_res_D_a[6, 10] = 0
_res_D_a[7, 10] = 0
_res_D_a[8, 10] = 0
_res_D_a[9, 10] = 0
_res_D_a[10, 10] = -1
_res_D_b = numpy.zeros((11, 11))
_res_D_b[0, 0] = 1
_res_D_b[1, 0] = 0
_res_D_b[2, 0] = 0
_res_D_b[3, 0] = 0
_res_D_b[4, 0] = 0
_res_D_b[5, 0] = 0
_res_D_b[6, 0] = 0
_res_D_b[7, 0] = 0
_res_D_b[8, 0] = 0
_res_D_b[9, 0] = 0
_res_D_b[10, 0] = 0
_res_D_b[0, 1] = 0
_res_D_b[1, 1] = 1
_res_D_b[2, 1] = 0
_res_D_b[3, 1] = 0
_res_D_b[4, 1] = 0
_res_D_b[5, 1] = 0
_res_D_b[6, 1] = 0
_res_D_b[7, 1] = 0
_res_D_b[8, 1] = 0
_res_D_b[9, 1] = 0
_res_D_b[10, 1] = 0
_res_D_b[0, 2] = 0
_res_D_b[1, 2] = 0
_res_D_b[2, 2] = 1
_res_D_b[3, 2] = 0
_res_D_b[4, 2] = 0
_res_D_b[5, 2] = 0
_res_D_b[6, 2] = 0
_res_D_b[7, 2] = 0
_res_D_b[8, 2] = 0
_res_D_b[9, 2] = 0
_res_D_b[10, 2] = 0
_res_D_b[0, 3] = 0
_res_D_b[1, 3] = 0
_res_D_b[2, 3] = 0
_res_D_b[3, 3] = 1
_res_D_b[4, 3] = 0
_res_D_b[5, 3] = 0
_res_D_b[6, 3] = 0
_res_D_b[7, 3] = 0
_res_D_b[8, 3] = 0
_res_D_b[9, 3] = 0
_res_D_b[10, 3] = 0
_res_D_b[0, 4] = 0
_res_D_b[1, 4] = 0
_res_D_b[2, 4] = 0
_res_D_b[3, 4] = 0
_res_D_b[4, 4] = 1
_res_D_b[5, 4] = 0
_res_D_b[6, 4] = 0
_res_D_b[7, 4] = 0
_res_D_b[8, 4] = 0
_res_D_b[9, 4] = 0
_res_D_b[10, 4] = 0
_res_D_b[0, 5] = 0
_res_D_b[1, 5] = 0
_res_D_b[2, 5] = 0
_res_D_b[3, 5] = 0
_res_D_b[4, 5] = 0
_res_D_b[5, 5] = 1
_res_D_b[6, 5] = 0
_res_D_b[7, 5] = 0
_res_D_b[8, 5] = 0
_res_D_b[9, 5] = 0
_res_D_b[10, 5] = 0
_res_D_b[0, 6] = 0
_res_D_b[1, 6] = 0
_res_D_b[2, 6] = 0
_res_D_b[3, 6] = 0
_res_D_b[4, 6] = 0
_res_D_b[5, 6] = 0
_res_D_b[6, 6] = 1
_res_D_b[7, 6] = 0
_res_D_b[8, 6] = 0
_res_D_b[9, 6] = 0
_res_D_b[10, 6] = 0
_res_D_b[0, 7] = 0
_res_D_b[1, 7] = 0
_res_D_b[2, 7] = 0
_res_D_b[3, 7] = 0
_res_D_b[4, 7] = 0
_res_D_b[5, 7] = 0
_res_D_b[6, 7] = 0
_res_D_b[7, 7] = 1
_res_D_b[8, 7] = 0
_res_D_b[9, 7] = 0
_res_D_b[10, 7] = 0
_res_D_b[0, 8] = 0
_res_D_b[1, 8] = 0
_res_D_b[2, 8] = 0
_res_D_b[3, 8] = 0
_res_D_b[4, 8] = 0
_res_D_b[5, 8] = 0
_res_D_b[6, 8] = 0
_res_D_b[7, 8] = 0
_res_D_b[8, 8] = 1
_res_D_b[9, 8] = 0
_res_D_b[10, 8] = 0
_res_D_b[0, 9] = 0
_res_D_b[1, 9] = 0
_res_D_b[2, 9] = 0
_res_D_b[3, 9] = 0
_res_D_b[4, 9] = 0
_res_D_b[5, 9] = 0
_res_D_b[6, 9] = 0
_res_D_b[7, 9] = 0
_res_D_b[8, 9] = 0
_res_D_b[9, 9] = 1
_res_D_b[10, 9] = 0
_res_D_b[0, 10] = 0
_res_D_b[1, 10] = 0
_res_D_b[2, 10] = 0
_res_D_b[3, 10] = 0
_res_D_b[4, 10] = 0
_res_D_b[5, 10] = 0
_res_D_b[6, 10] = 0
_res_D_b[7, 10] = 0
_res_D_b[8, 10] = 0
_res_D_b[9, 10] = 0
_res_D_b[10, 10] = 1
return _res, _res_D_a, _res_D_b