cutcutcodec.core.generation.video.fractal.geometry.deduce_all_bounds

cutcutcodec.core.generation.video.fractal.geometry.deduce_all_bounds(**bounds: dict[str, Basic]) → dict[str, Basic][source]

Solve the system for extracting the values of the i, j bounds.

Parameters

**boundsdict[str, sympy.code.basic.Basic]: The values of the given vars. The considerated keys are the keys presents in the SYMBOLS dict.

Returns

all_boundsdict[str, sympy.code.basic.Basic]: The expressions associated to all the values of SYMBOLS keys.

Raises

ValueError: If input is not valid or if the linear system is inconsistent.

Examples

>>> from sympy.core.symbol import Symbol
>>> from sympy.core.sympify import sympify
>>> from cutcutcodec.core.generation.video.fractal.geometry import deduce_all_bounds
>>> solutions = deduce_all_bounds(
...     x_center=Symbol("t", real=True, positive=True)/2,
...     y_center=sympify(1),
...     x_size=sympify(2),
...     y_size=1 + Symbol("t", real=True, positive=True)**2,
... )
>>> solutions["i_min"]
t**2/2 + 3/2
>>> solutions["i_max"]
1/2 - t**2/2
>>> solutions["j_min"]
t/2 - 1
>>> solutions["j_max"]
t/2 + 1
>>>