Scilab Function

param3d1 - 3D plot of parametric curves

### Calling Sequence

  `param3d1(x,y,z,[theta,alpha,leg,flag,ebox])`
  `param3d1(x,y,list(z,colors),[theta,alpha,leg,flag,ebox])`

### Parameters

- `x,y,z` : matrices of the same size (nl,nc). Each column i of the matrices corresponds to the coordinates of the ith curve. You can give a specific color for each curve by using `list(z,colors)` instead of `z`, where `colors` is a vector of size `nc`. If `color(i)` is negative the curve is plotted using the mark with id `abs(style(i))+1`; if `style(i)` is strictly positive, a plain line with color id `style(i)` or a dashed line with dash id `style(i)` is used. Use `xset()` to see the mark and color ids.
- `theta,alpha` : real values giving in degree the spherical coordinates of the observation point.
- `leg` : string defining the captions for each axis with @ as a field separator, for example "X@Y@Z".
- `flag=[type,box]` : `type` and `box` have the same meaning as in `plot3d`.

- `type` : an integer (scaling).

- `type=0` the plot is made using the current 3D scaling (set by a previous call to `param3d`, `plot3d`, `contour` or `plot3d1`).
- `type=1` rescales automatically 3d boxes with extreme aspect ratios, the boundaries are specified by the value of the optional argument `ebox`.
- `type=2` rescales automatically 3d boxes with extreme aspect ratios, the boundaries are computed using the given data.
- `type=3` 3d isometric with box bounds given by optional `ebox`, similarily to `type=1`
- `type=4` 3d isometric bounds derived from the data, to similarily`type=2`
- `type=5` 3d expanded isometric bounds with box bounds given by optional `ebox`, similarily to `type=1`
- `type=6` 3d expanded isometric bounds derived from the data, similarily to `type=2`

- `box` : an integer (frame around the plot).

- `box=0` nothing is drawn around the plot.
- `box=1` unimplemented (like box=0).
- `box=2` only the axes behind the surface are drawn.
- `box=3` a box surrounding the surface is drawn and captions are added.
- `box=4` a box surrounding the surface is drawn, captions and axes are added.

- `ebox` : used when `type` in `flag` is 1. It specifies the boundaries of the plot as the vector `[xmin,xmax,ymin,ymax,zmin,zmax]`.

### Description

`param3d1` is used to plot 3D curves defined by their coordinates `x`, `y` and `z`.

Enter the command `param3d1()` to see a demo.

### Examples

    t=[0:0.1:5*%pi]';
    param3d1([sin(t),sin(2*t)],[cos(t),cos(2*t)],..
      list([t/10,sin(t)],[3,2]),35,45,"X@Y@Z",[2,3])

### See Also

`param3d` `plot3d` `xset`

### Author

J.Ph.C.