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<h3>Random parameters in an interactive exercise</h3>
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<h3>Random parameters in an interactive exercise</h3>
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<p>
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The use of random parameters makes your exercise much more interesting,
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The use of random parameters makes your exercise much more interesting,
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because it will be a different exercise each time it is requested.
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because it will be a different exercise each time it is requested.
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<p>
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</p><p>
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For example, the following line defines a parameter under the name of
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For example, the following line defines a parameter under the name of
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<font color=blue><b>x1</b></font>, whose value will be a random integer
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<span class="tt wims_code_variable">x1</span>, whose value will be a random integer
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between -10 and 10 (inclusive):
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between -10 and 10 (inclusive):
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<pre>
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</p><pre>
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\integer{x1=random(-10..10)}
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\integer{x1=random(-10..10)}
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</pre>
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</pre>
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This random parameter may then be called by the word
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This random parameter may then be called by the word
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<b><span class="tt wims_code_variable">x1</span></b>, in the statement, the replis, the hint and the solution.
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<b><span class="tt wims_code_variable">x1</span></b>, in the statement, the replies, the hint and the solution.
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That is, each word <span class="tt wims_code_variable">x1</span> in these texts will be replaced
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That is, each word <span class="tt wims_code_variable">x1</span> in these texts will be replaced
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by the random value of the parameter. This substitution will also take
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by the random value of the parameter. This substitution will also take
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place in the definitions of other parameters which follow that of x1.
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place in the definitions of other parameters which follow that of x1.
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<p>
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<p>
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Suppose now that you have entered
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Suppose now that you have entered
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<caption>Some other examples of parameters
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<caption>Some other examples of parameters
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!href cmd=help&special_parm=$special_parm,oefparm#list [complete list]
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!href cmd=help&special_parm=$special_parm,oefparm#list [complete list]
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</caption>
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</caption>
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$table_hdtr<th>Definition</th><th>Effect</th></tr>
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$table_hdtr<th>Definition</th><th>Effect</th></tr>
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$table_tr<td class="tt wims_code_words">\real{x=random(-5..5)}
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$table_tr<td class="tt wims_code_words">\real{x=random(-5..5)}
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    </td><td>\x will be a random real number<br/>between -5 and 5
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    </td><td>\x will be a random real number<br>between -5 and 5
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\real{a=random(-5,-3,0.3,4)}
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$table_tr<td class="tt wims_code_words">\real{a=randitem(-5,-3,0.3,4)}
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    </td><td>\a will be a real number taken randomly<br/>among -5,-3,0.3 and 4
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    </td><td>\a will be a real number taken randomly<br>among -5,-3,0.3 and 4
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\complex{z=(1+2*i)^3}
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$table_tr<td class="tt wims_code_words">\complex{z=(1+2*i)^3}
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    </td><td>\z will be the complex number (1+2*i)^3
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    </td><td>\z will be the complex number (1+2*i)^3
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\text{sign=random(+,-)}
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$table_tr<td class="tt wims_code_words">\text{sign=randitem(+,-)}
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    </td><td>\sign will be a random sign: + ou -
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    </td><td>\sign will be a random sign: + ou -
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\integer{n=3*exp(\a)}
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$table_tr<td class="tt wims_code_words">\integer{n=3*exp(\a)}
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    </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br/>(it depends on
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    </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br>(it depends on
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    the value of \a)
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    the value of \a)
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\function{f=random<br/> (x^2+1,sin(x),log(x))}
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$table_tr<td class="tt wims_code_words">\function{f=randitem<br> (x^2+1,sin(x),log(x))}
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    </td><td>\f will be a random function: either x^2+1,<br/>or sin(x), or
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    </td><td>\f will be a random function: either x^2+1,<br>or sin(x), or
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    log(x)
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    log(x)
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)}
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$table_tr<td class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)}
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    </td><td>Evaluation of the function x^2+sin(y),<br/>
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    </td><td>Evaluation of the function x^2+sin(y),<br>
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    for x=3, y=4
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    for x=3, y=4
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)}
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$table_tr<td class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)}
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    </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1
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    </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1
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</td></tr>
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</td></tr>
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)}
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$table_tr<td class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)}
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    </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x
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    </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)}
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$table_tr<td class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)}
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    </td><td>\F will an antiderivative of x^2+3*x+1,<br/>
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    </td><td>\F will an antiderivative of x^2+3*x+1,<br>
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     the constant term being not garanteed to be always the same
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     the constant term being not garanteed to be always the same
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!!$table_tr<td class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)}
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!!$table_tr<td class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)}
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!!    </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0
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!!    </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)}
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$table_tr<td class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)}
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    </td><td>\s will be the list of 6 integers 1,2,...,6, in random order.
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    </td><td>\s will be the list of 6 integers 1,2,...,6, in random order.
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)}
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$table_tr<td class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)}
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    </td><td>\s will be the letters {a,b,c,d,e} in random order.
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    </td><td>\s will be the letters {a,b,c,d,e} in random order.
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\matrix{m=1,2,3<br/>4,5,6<br/>7,8,9}
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$table_tr<td class="tt wims_code_words">\matrix{m=1,2,3<br>4,5,6<br>7,8,9}
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    </td><td>\m will be the matrix of 3 rows and 3 columns.
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    </td><td>\m will be the matrix of 3 rows and 3 columns.
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</td></tr>
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</td></tr>
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$table_tr<td class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))}
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$table_tr<td class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))}
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    </td><td>The string as it is, with no transformation nor conditionality.
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    </td><td>The string as it is, with no transformation nor conditionality.
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</td></tr>
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</td></tr>