polynomials_on_simplices.calculus.plot_function module

Plotting of analytic expressions (in the form of callables).

evaluate_curve(gamma, t)

Evaluate a parametric curve in 2d (\(\gamma(t) = (\gamma_1(t), \gamma_2(t))\)) or 3d (\(\gamma(t) = (\gamma_1(t), \gamma_2(t), \gamma_3(t))\)) at a number of locations.

Parameters:

• gamma (Callable \(\gamma(t)\)) – Parametric curve (vector valued (2d or 3d) univariate function).
• t – Positions where the curve should be evaluated (array of floats).

Returns:

Array of curve values, one for each location in the input t array.

plot_bivariate_function(f, tri_vertices, *args, **kwargs)

Plot a bivariate function on a triangular domain.

Parameters:

• f (Callable f(x, y)) – Bivariate function to plot (bivariate real-valued function).
• tri_vertices – Vertices of the triangular domain (3 by 2 matrix where each row is a vertex in the triangle).
• args – Additional arguments passed to the plot_triangle_mesh() command.
• kwargs – ‘edge_resolution’: Number of discrete points in the plot along each edge in the triangle mesh. Further keyword arguments are passed to the plot_triangle_mesh() command.

plot_curve(gamma, t_start=0.0, t_stop=1.0, *args, **kwargs)

Plot a parametric curve in 2d (\(\gamma(t) = (\gamma_1(t), \gamma_2(t))\)) or 3d (\(\gamma(t) = (\gamma_1(t), \gamma_2(t), \gamma_3(t))\)).

Parameters:

• gamma (Callable \(\gamma(t)\)) – Parametric curve (vector valued (2d or 3d) univariate function).
• t_start (float) – Beginning of range to plot for the curve parameter t.
• t_stop (float) – End of range to plot for the curve parameter t.
• args – Additional arguments passed to the plot_curve() command.
• kwargs – Keyword arguments. ‘num’: Number of discrete points in the plot. Further keyword arguments are passed to the plot_curve() command.

plot_function(f, x_start=0.0, x_stop=1.0, *args, **kwargs)

Plot a univariate function.

Parameters:

• f (Callable f(x)) – Function expression to plot (univariate real-valued function).
• x_start (float) – Beginning of x-range to plot.
• x_stop (float) – End of x-range to plot.
• args – Additional arguments passed to the plot_curve() command.
• kwargs – Keyword arguments passed to the plot_curve() command.