Modules
		scitbx.array_family.flex math

Classes
		__builtin__.object rec col diag identity inversion row sqr sym rt   class col(rec)       Method resolution order: col rec __builtin__.object Methods defined here: __init__(self, elems) Class methods defined here: random(cls, n, a, b) from __builtin__.type Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class diag(rec)       Method resolution order: diag rec __builtin__.object Methods defined here: __init__(self, diag_elems) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class identity(diag)       Method resolution order: identity diag rec __builtin__.object Methods defined here: __init__(self, n) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class inversion(diag)       Method resolution order: inversion diag rec __builtin__.object Methods defined here: __init__(self, n) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class rec(__builtin__.object)       Methods defined here: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __init__(self, elems, n) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors defined here: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class row(rec)       Method resolution order: row rec __builtin__.object Methods defined here: __init__(self, elems) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class rt(__builtin__.object)       Methods defined here: __add__(self, other) __init__(self, tuple_r_t) __mul__(self, other) __sub__(self, other) as_augmented_matrix(self) as_float(self) inverse(self) Data descriptors defined here: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class sqr(rec)       Method resolution order: sqr rec __builtin__.object Methods defined here: __init__(self, elems) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)   class sym(rec)       Method resolution order: sym rec __builtin__.object Methods defined here: __init__(self, elems=None, sym_mat3=None) Methods inherited from rec: __abs__(self) __add__(self, other) __call__(self, ir, ic) __div__(self, other) __eq__(self, other) __floordiv__(self, other) __getitem__(self, i) __len__(self) __mul__(self, other) __neg__(self) __repr__(self) __rmul__(self, other) scalar * matrix __sub__(self, other) __truediv__(self, other) accute_angle(self, other, value_if_undefined=None, deg=False) angle(self, other, value_if_undefined=None, deg=False) as_float(self) as_int(self, rounding=True) as_list_of_lists(self) as_mat3(self) as_sym_mat3(self) co_factor_matrix_transposed(self) cos_angle(self, other, value_if_undefined=None) cross(self, other) determinant(self) dot(self, other=None) each_abs(self) extract_block(self, stop, start=(0, 0), step=(1, 1)) inverse(self) is_square(self) mathematica_form(self, label='', one_row_per_line=False, format=None, prefix='') max(self) max_index(self) min(self) min_index(self) n_columns(self) n_rows(self) norm_sq(self) normalize(self) ortho(self) outer_product(self, other=None) product(self) rotate(self, axis, angle, deg=False) sum(self) trace(self) transpose(self) transpose_multiply(self, other=None) Data descriptors inherited from rec: __dict__ dictionary for instance variables (if defined) __weakref__ list of weak references to the object (if defined)

Functions
		cross_product_matrix((v0, v1, v2)) Matrix associated with vector cross product:   a.cross(b) is equivalent to cross_product_matrix(a) * b Useful for simplification of equations. Used frequently in robotics and classical mechanics literature.

Data
		division = _Feature((2, 2, 0, 'alpha', 2), (3, 0, 0, 'alpha', 0), 8192)