# Documentation

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# `From`, `To`, `FromX`, `FromY`, `FromZ`, `ToX`, `ToY`, `ToZ`

Starting point of arrows and lines

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

## Value Summary

 `From` Library wrapper for “[`FromX`, `FromY`]” (2D), “[`FromX`, `FromY`, `FromZ`]” (3D) List of 2 or 3 expressions, depending on the dimension `To` Library wrapper for “[`ToX`, `ToY`]” (2D), “[`ToX`, `ToY`, `ToZ`]” (3D) List of 2 or 3 expressions, depending on the dimension `FromX`, `FromY`, `FromZ`, `ToX`, `ToY`, `ToZ` Mandatory MuPAD® expression

## Graphics Primitives

ObjectsDefault Values
`plot::Arrow2d`, `plot::Line2d`

`From`: [`0`, `0`]

`To`: [`1`, `0`]

`FromX`, `FromY`, `ToY`: `0`

`ToX`: `1`

`plot::Arrow3d`, `plot::Line3d`

`From`: [`0`, `0`, `0`]

`To`: [`1`, `0`, `0`]

`FromX`, `FromY`, `FromZ`, `ToY`, `ToZ`: `0`

`ToX`: `1`

`plot::Reflect2d`

## Description

The vectors `From` and `To` determine the starting point and the end point, respectively, of arrows and lines.

`From` is a vector determining the position of the starting point of arrows and lines. Depending on the dimension, it is given by a list or vector of 2 or 3 components.

`FromX` etc. refer to the x, y, z components of this vector.

`To` is a vector determining the position of the end point of arrows and lines. Depending on the dimension, it is given by a list or vector of 2 or 3 components.

`To` etc. refer to the x, y, z components of this vector.

The values of these attributes can be animated.

## Examples

### Example 1

We define an arrow:

```p := plot::Arrow2d([0, 0], [1, 2]): plot(p):```

The arguments are the starting point and the end point of the arrow. Internally, they are stored as the attributes `From` and `To`. We can access the object's attributes and change them:

`p::From, p::To`

```p::From := [1, 0]: p::To := [0, 1]: plot(p):```

`delete p:`

### Example 2

The values of `From` and `To` can be animated. Here is a simple clock:

```plot(plot::Circle2d(1, [0, 0], Color = RGB::Black), plot::Line2d([0.9*cos(a*PI/6), 0.9*sin(a*PI/6)], [1.0*cos(a*PI/6), 1.0*sin(a*PI/6)], Color = RGB::Black, LineWidth = 0.8*unit::mm) \$ a = 0 .. 11, plot::Line2d([0.95*cos(a*PI/30), 0.95*sin(a*PI/30)], [1.0*cos(a*PI/30), 1.0*sin(a*PI/30)], Color = RGB::Black, LineWidth = 0.5*unit::mm) \$ a = 0 .. 59, plot::Arrow2d([0, 0], [0.85*sin(12*a), 0.85*cos(12*a)], a = 0 .. 2*PI, LineWidth = 2*unit::mm), plot::Arrow2d([0, 0], [0.6*sin(a), 0.6*cos(a)], a = 0 .. 2*PI, LineWidth = 3*unit::mm), Axes = None, Frames = 600, TimeRange = 0..120):```