Plot library
Main routines
Short hands
Some functions used here
pMesh Notation
where
Examples
Mesh plots
2D XY plugin plot
3D Native SMath plot
Trimesh plots
2D XY plugin plot
3D Native SMath plot
Waterrall plots
2D XY plugin plot
3D Native SMath plot
3D Srface Plot
Adaptive Plot
Cartesians:
Polars:
Parametrics:
pAdapt for parametric curves
Implicit plots
Only takes Box notation
Implicit plot, direct call of f
10 level courves between max and min of f in the box
5 level courves between 0 and 100
Filled 2-D contour plot
plots the filled contour of f in the box B with N1xN2 rectangles with colors in CM
creates a Jet colormap of n colors with a transparency
This other call is more efficient because function is evaluated only once for the grid points
Also, you can plot only the filled contour:
Contours of a polar function z(ρ,φ) = sin(2φ)(1-ρ)
Vector Fields Quiver Examples
https://en.wikipedia.org/wiki/Integral_curve
Notation "Box":
Ingegral Curves & monochrome VF
Map Colored Vector Field
"Range" Notation:
Ingegral Curves & monochrome VF
Map Colored Vector Field
Potential and Gradient example
Electric Field
Constant
Charges
Place Points
Box Plot
Steps
The integral curves (red) are the paths that positive test charges placed in the field would take, and they are collinear with the vector field (blue) and perpendicular to the potential contour lines (green).
Note: E isn't the field, it is divided by
it's norme for stabilizing the RK method
Plotting Complex Functions
plots the argument of f(z) in the box B with N points with the colormap cm
plots the complex map of f(z) in the box B with N points
Zeros
counterclockwise color change. Also, the polynomial degree cycle the colors.
Poles
clockwise color change.
Essential dicontinuity
infinite color change.
Periodicity
period 2π (horizontal)
period 2πi (veritcal)
Gallery
Other examples
Third degree ODE Plot
Mandelbrot set
Stem plot
Calling pStem(f,X)
Calling pStem(X,Y)
Another example
Az&El Animation
Examples of view
Change the sign of N for reverse the mesh if it is necessary.
Default Matlab view
2D view
First column view
Fridel usual view
For az = 180 is behind the matrix
Rotated first column
pCMap is for creating color maps. It take as arguments a SMath color string, or "Jet", "R", "G" and "B". or an array [r g b] with one of the r, g or b equals zero.
The other arguments are the number of the colors and the transparency as a number between 0 and 1.
This shows the axis.
makes a colormap looking
at the zero value
from
to
Makes a colormap with a red scale. Similar for "G" and "B"
Makes a colormap with 15 gray values
The Jet color map, from NASA.