| |
| """ extp.py: Print p-forms and exterior products. |
| """ |
|
|
| from sympy import (symbols, Symbol) |
| from sympy.printing import (latex, print_latex) |
| from sympy.printing.latex import LatexPrinter |
| from sympy.diffgeom import Differential |
| from sympy.diffgeom.rn import R3_r |
|
|
| def _print_BaseScalarField(self, field): |
| string = field._coord_sys._names[field._index] |
| return f'{self._print(Symbol(string))}' |
|
|
| def _print_Differential(self, diff): |
| field = diff._form_field |
| if hasattr(field, '_coord_sys'): |
| string = field._coord_sys._names[field._index] |
| return rf'\dd {self._print(Symbol(string))}' |
| else: |
| return rf'\dd({self._print(field)})' |
|
|
| for m in (_print_BaseScalarField, _print_Differential): |
| setattr(LatexPrinter, m.__name__, m) |
|
|
| def main(): |
| a, b, c = symbols('a b c', real=True) |
| x, y, z = R3_r.coord_functions() |
| dx, dy, dz = R3_r.base_oneforms() |
| ex, ey, ez = R3_r.base_vectors() |
|
|
| fx = a* x * y * z |
| fy = b * x ** 2 * z |
| fz = -3 * x**2 * y |
| omega = fx * dx + fy * dy + fz * dz |
| print_latex(omega) |
|
|
| domega = Differential(omega) |
| print_latex(domega) |
|
|
| print_latex(domega(ey, ez)) |
| print_latex(domega(ez, ex)) |
| print_latex(domega(ex, ey)) |
|
|
| if __name__ == '__main__': |
| main() |
|
|
