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Documentation Index

Fetch the complete documentation index at: https://mintlify.com/geogebra/giac/llms.txt

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Overview

Giac provides comprehensive plotting capabilities for both 2D and 3D graphics, including parametric plots, implicit plots, polar plots, and field plots.

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2D Plotting Functions

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plotfunc

gen plotfunc(const gen & f, const gen & vars, const vecteur & attributs,
             int densityplot, double function_xmin, double function_xmax,
             double function_ymin, double function_ymax,
             double function_zmin, double function_zmax,
             int nstep, int jstep, bool showeq, GIAC_CONTEXT);
Plots a function or set of functions.
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f
gen
The function(s) to plot
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vars
gen
The variable(s) to use
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attributs
vecteur
Plot attributes (color, style, etc.)
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densityplot
int
Whether to create a density plot
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function_xmin
double
Minimum x value
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function_xmax
double
Maximum x value
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nstep
int
Number of steps for evaluation
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showeq
bool
Whether to show equation

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plotparam

gen plotparam(const gen & f, const gen & vars, const vecteur & attributs,
              int densityplot, double function_xmin, double function_xmax,
              double function_ymin, double function_ymax,
              double function_tmin, double function_tmax,
              double function_tstep, const gen & equation,
              const gen & parameq, const context * contextptr);
Creates parametric plots in 2D.
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f
gen
Parametric equation(s)
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vars
gen
Parameter variable(s)
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function_tmin
double
Minimum parameter value
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function_tmax
double
Maximum parameter value
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function_tstep
double
Parameter step size

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plotimplicit

gen plotimplicit(const gen& f_orig, const gen& x, const gen & y,
                 double xmin, double xmax, double ymin, double ymax,
                 int nxstep, int nystep, double eps,
                 const vecteur & attributs, bool unfactored,
                 bool cklinear, const context * contextptr, int ckgeo2d);
Plots implicit equations in 2D.
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f_orig
gen
The implicit equation f(x,y)=0
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x
gen
The x variable
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y
gen
The y variable
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nxstep
int
Number of x steps
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nystep
int
Number of y steps
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eps
double
Precision tolerance

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plotfield

gen plotfield(const gen & xp, const gen & yp,
              const gen & x, const gen & y,
              double xmin, double xmax, double xstep,
              double ymin, double ymax, double ystep,
              double scaling, vecteur & attributs,
              bool normalize, const context * contextptr);
Plots a vector field.
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xp
gen
x-component of the field
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yp
gen
y-component of the field
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xstep
double
Step size in x direction
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ystep
double
Step size in y direction
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scaling
double
Scaling factor for vectors
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normalize
bool
Whether to normalize vectors

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plotcontour

gen plotcontour(const gen & f0, bool contour, GIAC_CONTEXT);
Creates contour plots of a function.
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f0
gen
The function to plot
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contour
bool
Whether to show contour lines

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plotseq

gen plotseq(const gen& f, const gen& x, double x0,
            double xmin, double xmax, int niter,
            const vecteur & attributs,
            const context * contextptr, bool print);
Plots a sequence (cobweb plot).
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f
gen
The iteration function
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x
gen
The variable
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x0
double
Initial value
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niter
int
Number of iterations

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3D Plotting Functions

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plotparam3d

gen plotparam3d(const gen & f, const vecteur & vars,
                double function_xmin, double function_xmax,
                double function_ymin, double function_ymax,
                double function_zmin, double function_zmax,
                double function_umin, double function_umax,
                double function_vmin, double function_vmax,
                bool clrplot, bool f_autoscale,
                const vecteur & attributs,
                double ustep, double vstep,
                const gen & eq, const vecteur & eqvars,
                GIAC_CONTEXT);
Creates parametric 3D plots.
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f
gen
Parametric equation(s) [x(u,v), y(u,v), z(u,v)]
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vars
vecteur
Parameter variables [u, v]
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function_umin
double
Minimum u parameter value
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function_umax
double
Maximum u parameter value
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function_vmin
double
Minimum v parameter value
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function_vmax
double
Maximum v parameter value
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ustep
double
Step size for u parameter
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vstep
double
Step size for v parameter
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f_autoscale
bool
Whether to automatically scale the plot

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plotimplicit (3D)

gen plotimplicit(const gen& f_orig,
                 const gen& x, const gen & y, const gen & z,
                 double xmin, double xmax,
                 double ymin, double ymax,
                 double zmin, double zmax,
                 int nxstep, int nystep, int nzstep,
                 double eps, const vecteur & attributs,
                 bool unfactored, bool cklinear,
                 const context * contextptr);
Plots implicit equations in 3D.
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f_orig
gen
The implicit equation f(x,y,z)=0
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x
gen
The x variable
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y
gen
The y variable
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z
gen
The z variable
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nxstep
int
Number of x steps
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nystep
int
Number of y steps
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nzstep
int
Number of z steps

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Utility Functions

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ticks

vecteur ticks(double xmin, double xmax, bool bounds);
Generates tick marks for axes.
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xmin
double
Minimum value
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xmax
double
Maximum value
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bounds
bool
Whether to include boundary values
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return
vecteur
Vector of tick positions with simple decimal representation

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plot_array

gen plot_array(const std::vector<std::vector<double>> & fij,
               int imax, int jmax,
               double xmin, double xmax, double dx,
               double ymin, double ymax, double dy,
               const vecteur & lz, const vecteur & attributs,
               bool contour, int pal, GIAC_CONTEXT);
Plots a 2D array of values.
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fij
std::vector<std::vector<double>>
2D array of function values
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imax
int
Number of rows
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jmax
int
Number of columns
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contour
bool
Whether to create contour plot
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pal
int
Color palette index

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colormap functions

bool is_colormap_index(int pal);
bool is_colormap_cyclic(int pal);
int colormap_color(int pal, double t, GIAC_CONTEXT);
bool colormap_color_rgb(int pal, double t, int &c, int &r, int &g, int &b,
                        GIAC_CONTEXT);
Colormap utility functions for customizing plot colors.
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pal
int
Colormap palette index
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t
double
Value between 0 and 1 to map to color

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Global Variables

extern double gnuplot_xmin, gnuplot_xmax;
extern double gnuplot_ymin, gnuplot_ymax;
extern double gnuplot_zmin, gnuplot_zmax;
extern double gnuplot_tmin, gnuplot_tmax, gnuplot_tstep;
extern double global_window_xmin, global_window_xmax;
extern double global_window_ymin, global_window_ymax;
extern double x_tick, y_tick;
extern bool autoscale;
extern int PARAM_STEP;
extern int gnuplot_pixels_per_eval;
Global variables controlling plot ranges and behavior.

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See Also