LinePlot (func1,func2,func3,...)
LinePlot (func1,func2,func3,x1,x2,y1,y2)
Plot a function (or several functions) with a line.
First up to 10 arguments are functions, then optionally
you can specify the limits of the plotting window as
x1, x2,
y1, y2. If limits are not
specified, then the currently set limits apply
(See LinePlotWindow)
The parameter
LinePlotDrawLegends
controls the drawing of the legend.
Examples:
genius> LinePlot(sin,cos) genius> LinePlot(`(x)=x^2,-1,1,0,1)
LinePlotClear ()
Show the line plot window and clear out functions and any other lines that were drawn.
LinePlotDrawLine (x1,y1,x2,y2,...)
LinePlotDrawLine (v,...)
Draw a line from x1,y1 to
x2,y2.
x1,y1,
x2,y2 can be replaced by an
n by 2 matrix for a longer line.
Extra parameters can be added to specify line color and thickness, by adding a string "color" or "thickness" and the color and thickness after as a string or integer respectively.
Examples:
genius> LinePlotDrawLine(0,0,1,1,"color","blue","thickness",3) genius> LinePlotDrawLine([0,0;1,-1;-1,-1])
LinePlotParametric (xfunc,yfunc,...)
LinePlotParametric (xfunc,yfunc,t1,t2,tinc)
LinePlotParametric (xfunc,yfunc,t1,t2,tinc,x1,x2,y1,y2)
Plot a parametric function with a line. First come the functions
for x and y then optionally the t limits as t1,t2,tinc, then optionally the
limits as x1,x2,y1,y2.
If limits are not
specified, then the currently set limits apply
(See LinePlotWindow).
The parameter
LinePlotDrawLegends
controls the drawing of the legend.
LinePlotCParametric (func,...)
LinePlotCParametric (func,t1,t2,tinc)
LinePlotCParametric (func,t1,t2,tinc,x1,x2,y1,y2)
Plot a parametric complex valued function with a line. First comes
the function that returns x+iy,
then optionally the t limits as t1,t2,tinc, then
optionally the limits as x1,x2,y1,y2.
If limits are not
specified, then the currently set limits apply
(See LinePlotWindow).
The parameter
LinePlotDrawLegends
controls the drawing of the legend.
SlopefieldClearSolutions ()
Clears the solutions drawn by the
SlopefieldDrawSolution
function.
SlopefieldDrawSolution (x, y, dx)
When a slope field plot is active, draw a solution with
the specified initial condition. The standard
Runge-Kutta method is used with increment dx.
Solutions stay on the graph until a different plot is shown or until
you call
SlopefieldClearSolutions.
You can also use the graphical interface to draw solutions and specify
initial conditions with the mouse.
SlopefieldPlot (func)
SlopefieldPlot (func,x1,x2,y1,y2)
Plot a slope field. The function func
should take two real numbers x
and y, or a single complex
number.
Optionally you can specify the limits of the plotting window as
x1, x2,
y1, y2. If limits are not
specified, then the currently set limits apply
(See LinePlotWindow).
The parameter
LinePlotDrawLegends
controls the drawing of the legend.
Examples:
genius> Slopefield(`(x,y)=sin(x-y),-5,5,-5,5)
SurfacePlot (func)
SurfacePlot (func,x1,x2,y1,y2,z1,z2)
Plot a surface function which takes either two arguments or a complex number. First comes the function then optionally limits as x1, x2,
y1, y2,
z1, z2. If limits are not
specified, then the currently set limits apply
(See SurfacePlotWindow).
Genius can only plot a single surface function at this time.
Examples:
genius> SurfacePlot(|sin|,-1,1,-1,1,0,1.5) genius> SurfacePlot(`(x,y)=x^2+y,-1,1,-1,1,-2,2) genius> SurfacePlot(`(z)=|z|^2,-1,1,-1,1,0,2)
VectorfieldPlot (funcx, funcy)
VectorfieldPlot (funcx, funcy, x1, x2, y1, y2)
Plot a two dimensional vector field. The function
funcx
should be the dx/dt of the vectorfield and the function
funcy should be the dy/dt of the vectorfield.
The functions
should take two real numbers x
and y, or a single complex
number. When the parameter
VectorfieldNormalized
is true, then the magnitude of the vectors is normalized. That is, only
the direction and not the magnitude is shown.
Optionally you can specify the limits of the plotting window as
x1, x2,
y1, y2. If limits are not
specified, then the currently set limits apply
(See LinePlotWindow).
The parameter
LinePlotDrawLegends
controls the drawing of the legend.
Examples:
genius> VectorfieldPlot(`(x,y)=x^2-y, `(x,y)=y^2-x, -1, 1, -1, 1)