Extensions to SymPy =================== .. module:: pystencils.sympyextensions Symbol Factory -------------- .. autosummary:: :toctree: generated :nosignatures: SymbolCreator Functions --------- .. autosummary:: :toctree: generated :nosignatures: math.prod math.scalar_product math.kronecker_delta math.tanh_step_function_approximation math.multidimensional_sum Expression Analysis ------------------- .. autosummary:: :toctree: generated :nosignatures: math.is_constant math.summands math.common_denominator math.get_symmetric_part math.count_operations math.count_operations_in_ast Expression Rewriting and Simplifications ---------------------------------------- .. autosummary:: :toctree: generated :nosignatures: math.remove_small_floats math.is_integer_sequence math.normalize_product math.symmetric_product math.fast_subs math.subs_additive math.replace_second_order_products math.remove_higher_order_terms math.complete_the_square math.complete_the_squares_in_exp math.extract_most_common_factor math.recursive_collect math.simplify_by_equality Typed Expressions ----------------- .. autoclass:: pystencils.TypedSymbol .. autoclass:: pystencils.DynamicType :members: .. autoclass:: pystencils.sympyextensions.typed_sympy.TypeCast :members: .. autoclass:: pystencils.sympyextensions.tcast Integer Operations ------------------ .. autosummary:: :toctree: generated :nosignatures: :template: autosummary/sympy_class.rst integer_functions.bitwise_xor integer_functions.bit_shift_right integer_functions.bit_shift_left integer_functions.bitwise_and integer_functions.bitwise_or integer_functions.int_div integer_functions.int_rem integer_functions.round_to_multiple_towards_zero integer_functions.ceil_to_multiple integer_functions.div_ceil Bit Masks and Bit-Set Conditionals ---------------------------------- .. autosummary:: :toctree: generated :nosignatures: :template: autosummary/sympy_class.rst bit_masks.bit_conditional GPU Intrinsics -------------- .. autosummary:: :toctree: generated :nosignatures: :template: autosummary/sympy_class.rst fast_approximation.fast_division fast_approximation.fast_sqrt fast_approximation.fast_inv_sqrt Random Number Generation ------------------------ .. module:: pystencils.sympyextensions.random .. autosummary:: :toctree: generated :nosignatures: :template: autosummary/entire_class.rst RngBase Philox