Subversion Repositories wimsdev

<p><center><h2>Complete list of parameter functions</h2></center>

<p>$table_header

<caption>Randomization</caption>

$table_tr<th>Function<th>Effect

$table_tr<td><tt>random(-5..5)

    <td>a random number between -5 and 5

$table_tr<td><tt>randint(-5..5)

    <td>a random integer between -5 and 5 (inclusive)

$table_tr<td><tt>random(1,2,3,a,b,c)

    <td>a random item within {1,2,3,a,b,c}

$table_tr<td><tt>shuffle(6)

    <td>a list of 6 integers 1,2,...,6, in a random order.

$table_tr<td><tt>shuffle(a,b,c,d,e)

    <td>the list of letters {a,b,c,d,e}, in a random order.

$table_tr<td><tt>randomitem(\list)

    <td>a random item of (comma-separated) \list.

$table_tr<td><tt>randomrow(\mat)

    <td>a random row of the matrix \mat.

$table_end

<p>$table_header

<caption>Data and list manipulation</caption>

$table_tr<td><tt>items(a,b,c,d,e,f)

    <td>the number of items (here it's 6) in the list

     {a,b,c,d,e,f}

$table_tr<td><tt>item(3,a,b,c,d,e,f)

    <td>item number 3 of the list {a,b,c,d,e,f} (hence c)

$table_tr<td><tt>item(3,\ll)

    <td>item number 3 of the list \ll (same as <tt>\ll[3]</tt>)

$table_tr<td><tt>item(2..5,a,b,c,d,e,f)

    <td>items number 2 to 5 of the list {a,b,c,d,e,f} (hence b,c,d,e)

$table_tr<td><tt>item([2,4],\ll)

    <td>items number 2 and 4 of the list \ll (same as

    <tt>\ll[2,4]</tt>)

$table_tr<td><tt>position(make,do,go,make,take)

    <td>number of position of the item `make' in the list

    {do,go,make,take} (hence 3)

$table_tr<td><tt>rows(\m)

    <td>the number of rows in the matrix \m

$table_tr<td><tt>row(2,\m)

    <td>row number 2 of the matrix \m (same as <tt>\m[2;]</tt>)

$table_tr<td><tt>row(2..5,\m)

    <td>the submatrix of \m consisting of rows number 2 to 5

    (same as <tt>\m[2..5;]</tt>)

$table_tr<td><tt>row([1,3],1,2,3<br>3,4,5<br>5,6,7)

    <td>the submatrix of the 3&times;3 matrix consisting of the first

    and the last rows

$table_tr<td><tt>row(column 1 > 1 and column 2 = good,\mat)

    <td>the submatrix of \mat consisting of rows where column 1 is > 1 and

    column 2 is the word `good'

$table_tr<td><tt>randomitem(\list)

    <td>a random item of (comma-separated) \list.

$table_tr<td><tt>randomrow(\mat)

    <td>a random row of the matrix \mat.

$table_tr<td><tt>column(2,\m)

    <td>items of column number 2 of the matrix \m,

    as a comma-separated list (same as <tt>\m[;2]</tt>)

$table_tr<td><tt>column(2..5,\m)

    <td>the submatrix of \m consisting of columns number 2 to 5

    (same as <tt>\m[;2..5]</tt>)

$table_tr<td><tt>column([1,3],1,2,3<br>3,4,5<br>5,6,7)

    <td>the submatrix of the 3&times;3 matrix consisting of the first

    and the last columns

$table_tr<td><tt>asis(How do you do? item(1,2,3))

    <td>the string as it is, protected from transformations and conditionality.

$table_end<p>$table_header

<caption>Mathematical functions</caption>

$table_tr<td><tt>evalue(x^2+sin(y),x=3,y=4)

    <td>evaluation of the function x^2+sin(y),<br>

    for x=3, y=4

$table_tr<td><tt>solve(x^3-3*x+1,x=0..1)

    <td>the simple root of x^3-3x+1 between 0 and 1

$table_tr<td><tt>simplify(x^5*y^3*x^2/y)

    <td>simplified expression: x<sup>7</sup>y<sup>2</sup>

$table_tr<td><tt>diff(sin(x)+cos(y),x)

    <td>the derivative of sin(x)+cos(y) with respect to x

$table_tr<td><tt>int(x^2+3*x+1,x)

    <td>anti-derivative of x^2+3*x+1,<br>

     the constant term being undertermined

!!$table_tr<td><tt>int(t^2+3*t+1,t=1..x)

!!    <td>the anti-derivative g of x^2+3*x+1 such that g(1)=0

$table_tr<td><tt>int(t^2+3*t+1,t=0..1)

    <td>the numerical integration of x^2+3*x+1, from 0 to 1

$table_tr<td><tt>det(\mat)

    <td>determinant of the matrix \mat

$table_tr<td><tt>htmlmath(2*x^2+3*x)

    <td>the best possible way to render the expression<br>

    in html way: 2x<sup>2</sup>+3x

$table_tr<td><tt>texmath(2*x^2+3*x)

    <td>the TeX source of the expression

$table_end<p>$table_header

<caption>Advanced facilities</caption>

$table_tr<td><tt>pari(factor(2^101-1))

    <td>call PARI/GP: here to factor an integer

$table_tr<td><tt>maxima(integrate(x^2+1,x);)

    <td>call Maxima: here to integrate a function

$table_tr<td><tt>yacas(Taylor(x,0,10) cos(x^2+x+1))

    <td>call Yacas: here to compute a Taylor expansion

$table_tr<td><tt>wims(sort items \list)

    <td>use wims !sort command to sort items in the list \list

$table_tr<td><tt>wims(listintersect \list1 and \list2)

    <td>use wims !listintersect command to get the common items of

    \list1 and \list2

$table_tr<td><tt>draw(draw source ...)

    <td>draw a picture, the source is the same as in <tt>\draw</tt>,

    with the image size as the first line.

    The output is an image URL.

$table_tr<td><tt>slib(matrix/invertible 3,5)

    <td>Read

    !href module=help/wimsdoc&subject=slib#slib WIMS slib

    matrix/invertible to generate an invertible 3x3

    matrix of range 5.

$table_end

<p>

Available types of parameters: integer, real, complex, function, text, matrix.

<p>