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1 | <h3>Random parameters in an interactive exercise</h3> |
1 | <h3>Random parameters in an interactive exercise</h3> |
2 | 2 | <p> |
|
3 | The use of random parameters makes your exercise much more interesting, |
3 | The use of random parameters makes your exercise much more interesting, |
4 | because it will be a different exercise each time it is requested. |
4 | because it will be a different exercise each time it is requested. |
5 | <p> |
5 | </p><p> |
6 | For example, the following line defines a parameter under the name of |
6 | For example, the following line defines a parameter under the name of |
7 | < |
7 | <span class="tt wims_code_variable">x1</span>, whose value will be a random integer |
8 | between -10 and 10 (inclusive): |
8 | between -10 and 10 (inclusive): |
9 | <pre> |
9 | </p><pre> |
10 | \integer{x1=random(-10..10)} |
10 | \integer{x1=random(-10..10)} |
11 | </pre> |
11 | </pre> |
12 | This random parameter may then be called by the word |
12 | This random parameter may then be called by the word |
13 | <b><span class="tt wims_code_variable">x1</span></b>, in the statement, the |
13 | <b><span class="tt wims_code_variable">x1</span></b>, in the statement, the replies, the hint and the solution. |
14 | That is, each word <span class="tt wims_code_variable">x1</span> in these texts will be replaced |
14 | That is, each word <span class="tt wims_code_variable">x1</span> in these texts will be replaced |
15 | by the random value of the parameter. This substitution will also take |
15 | by the random value of the parameter. This substitution will also take |
16 | place in the definitions of other parameters which follow that of x1. |
16 | place in the definitions of other parameters which follow that of x1. |
17 | <p> |
17 | <p> |
18 | Suppose now that you have entered |
18 | Suppose now that you have entered |
Line 40... | Line 40... | ||
40 | <caption>Some other examples of parameters |
40 | <caption>Some other examples of parameters |
41 | !href cmd=help&special_parm=$special_parm,oefparm#list [complete list] |
41 | !href cmd=help&special_parm=$special_parm,oefparm#list [complete list] |
42 | </caption> |
42 | </caption> |
43 | $table_hdtr<th>Definition</th><th>Effect</th></tr> |
43 | $table_hdtr<th>Definition</th><th>Effect</th></tr> |
44 | $table_tr<td class="tt wims_code_words">\real{x=random(-5..5)} |
44 | $table_tr<td class="tt wims_code_words">\real{x=random(-5..5)} |
45 | </td><td>\x will be a random real number<br |
45 | </td><td>\x will be a random real number<br>between -5 and 5 |
46 | </td></tr> |
46 | </td></tr> |
47 | $table_tr<td class="tt wims_code_words">\real{a= |
47 | $table_tr<td class="tt wims_code_words">\real{a=randitem(-5,-3,0.3,4)} |
48 | </td><td>\a will be a real number taken randomly<br |
48 | </td><td>\a will be a real number taken randomly<br>among -5,-3,0.3 and 4 |
49 | </td></tr> |
49 | </td></tr> |
50 | $table_tr<td class="tt wims_code_words">\complex{z=(1+2*i)^3} |
50 | $table_tr<td class="tt wims_code_words">\complex{z=(1+2*i)^3} |
51 | </td><td>\z will be the complex number (1+2*i)^3 |
51 | </td><td>\z will be the complex number (1+2*i)^3 |
52 | </td></tr> |
52 | </td></tr> |
53 | $table_tr<td class="tt wims_code_words">\text{sign= |
53 | $table_tr<td class="tt wims_code_words">\text{sign=randitem(+,-)} |
54 | </td><td>\sign will be a random sign: + ou - |
54 | </td><td>\sign will be a random sign: + ou - |
55 | </td></tr> |
55 | </td></tr> |
56 | $table_tr<td class="tt wims_code_words">\integer{n=3*exp(\a)} |
56 | $table_tr<td class="tt wims_code_words">\integer{n=3*exp(\a)} |
57 | </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br |
57 | </td><td>\n will be the closest integer to 3*e<sup>\a</sup> <br>(it depends on |
58 | the value of \a) |
58 | the value of \a) |
59 | </td></tr> |
59 | </td></tr> |
60 | $table_tr<td class="tt wims_code_words">\function{f= |
60 | $table_tr<td class="tt wims_code_words">\function{f=randitem<br> (x^2+1,sin(x),log(x))} |
61 | </td><td>\f will be a random function: either x^2+1,<br |
61 | </td><td>\f will be a random function: either x^2+1,<br>or sin(x), or |
62 | log(x) |
62 | log(x) |
63 | </td></tr> |
63 | </td></tr> |
64 | $table_tr<td class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)} |
64 | $table_tr<td class="tt wims_code_words">\real{a=evalue(x^2+sin(y),x=3,y=4)} |
65 | </td><td>Evaluation of the function x^2+sin(y),<br |
65 | </td><td>Evaluation of the function x^2+sin(y),<br> |
66 | for x=3, y=4 |
66 | for x=3, y=4 |
67 | </td></tr> |
67 | </td></tr> |
68 | $table_tr<td class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)} |
68 | $table_tr<td class="tt wims_code_words">\real{r=solve(x^3-3*x+1,x=0..1)} |
69 | </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1 |
69 | </td><td>\r will the the simple root of x^3-3x+1 between 0 and 1 |
70 | </td></tr> |
70 | </td></tr> |
Line 73... | Line 73... | ||
73 | </td></tr> |
73 | </td></tr> |
74 | $table_tr<td class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)} |
74 | $table_tr<td class="tt wims_code_words">\function{g=diff(sin(x)+cos(y),x)} |
75 | </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x |
75 | </td><td>\g will the the derivative of sin(x)+cos(y) with respect to x |
76 | </td></tr> |
76 | </td></tr> |
77 | $table_tr<td class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)} |
77 | $table_tr<td class="tt wims_code_words">\function{F=int(x^2+3*x+1,x)} |
78 | </td><td>\F will an antiderivative of x^2+3*x+1,<br |
78 | </td><td>\F will an antiderivative of x^2+3*x+1,<br> |
79 | the constant term being not garanteed to be always the same |
79 | the constant term being not garanteed to be always the same |
80 | !!$table_tr<td class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)} |
80 | !!$table_tr<td class="tt wims_code_words">\function{F=int(t^2+3*t+1,t=1..x)} |
81 | !! </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0 |
81 | !! </td><td>\F will the antiderivative of x^2+3*x+1 with g(1)=0 |
82 | </td></tr> |
82 | </td></tr> |
83 | $table_tr<td class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)} |
83 | $table_tr<td class="tt wims_code_words">\real{a=int(t^2+3*t+1,t=0..1)} |
Line 101... | Line 101... | ||
101 | </td><td>\s will be the list of 6 integers 1,2,...,6, in random order. |
101 | </td><td>\s will be the list of 6 integers 1,2,...,6, in random order. |
102 | </td></tr> |
102 | </td></tr> |
103 | $table_tr<td class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)} |
103 | $table_tr<td class="tt wims_code_words">\text{s=shuffle(a,b,c,d,e)} |
104 | </td><td>\s will be the letters {a,b,c,d,e} in random order. |
104 | </td><td>\s will be the letters {a,b,c,d,e} in random order. |
105 | </td></tr> |
105 | </td></tr> |
106 | $table_tr<td class="tt wims_code_words">\matrix{m=1,2,3<br |
106 | $table_tr<td class="tt wims_code_words">\matrix{m=1,2,3<br>4,5,6<br>7,8,9} |
107 | </td><td>\m will be the matrix of 3 rows and 3 columns. |
107 | </td><td>\m will be the matrix of 3 rows and 3 columns. |
108 | </td></tr> |
108 | </td></tr> |
109 | $table_tr<td class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))} |
109 | $table_tr<td class="tt wims_code_words">\text{t=asis(How do you do? item(1,2,3))} |
110 | </td><td>The string as it is, with no transformation nor conditionality. |
110 | </td><td>The string as it is, with no transformation nor conditionality. |
111 | </td></tr> |
111 | </td></tr> |