return bipoly;
}
+/* Chose a randum symbol or number from the argument list. */
const ex
random_symbol(const symbol & x,
const symbol & y,
const symbol & z,
- bool rational = true)
+ bool rational = true,
+ bool complex = false)
{
ex e;
switch (abs(rand()) % 4) {
e = z;
break;
case 3: {
- int c1 = rand() % 20 - 10;
- int c2 = rand() % 20 - 10;
- if (c1 == 0) c1 = 1;
- if (c2 == 0) c2 = 1;
+ int c1;
+ do { c1 = rand()%20 - 10; } while (!c1);
+ int c2;
+ do { c2 = rand()%20 - 10; } while (!c2);
if (!rational)
c2 = 1;
- e = numeric(c1) / numeric(c2);
+ e = numeric(c1, c2);
+ if (complex && !(rand()%5))
+ e = e*I;
break;
}
}
const symbol & z,
int level,
bool trig = false, // true includes trigonomatric functions
- bool rational = true) // false includes coefficients in Q
+ bool rational = true, // false excludes coefficients in Q
+ bool complex = false) // true includes complex numbers
{
if (level == 0)
- return random_symbol(x,y,z,rational);
- switch (abs(rand()) % 7) {
+ return random_symbol(x,y,z,rational,complex);
+ switch (abs(rand()) % 10) {
case 0:
case 1:
- return add(sparse_tree(x,y,z,level-1, trig, rational),
- sparse_tree(x,y,z,level-1, trig, rational));
case 2:
case 3:
- return mul(sparse_tree(x,y,z,level-1, trig, rational),
+ return add(sparse_tree(x,y,z,level-1, trig, rational),
sparse_tree(x,y,z,level-1, trig, rational));
case 4:
case 5:
- return power(sparse_tree(x,y,z,level-1, trig, rational),
- abs(rand() % 4));
case 6:
+ return mul(sparse_tree(x,y,z,level-1, trig, rational),
+ sparse_tree(x,y,z,level-1, trig, rational));
+ case 7:
+ case 8: {
+ ex powbase;
+ do {
+ powbase = sparse_tree(x,y,z,level-1, trig, rational);
+ } while (powbase.is_zero());
+ return pow(powbase, abs(rand() % 4));
+ break;
+ }
+ case 9:
if (trig) {
switch (abs(rand()) % 4) {
case 0:
return cos(sparse_tree(x,y,z,level-1, trig, rational));
case 2:
return exp(sparse_tree(x,y,z,level-1, trig, rational));
- case 3:
- return log(sparse_tree(x,y,z,level-1, trig, rational));
+ case 3: {
+ ex logex;
+ do {
+ ex logarg;
+ do {
+ logarg = sparse_tree(x,y,z,level-1, trig, rational);
+ } while (logarg.is_zero());
+ // Keep the evaluator from accidentally plugging an
+ // unwanted I in the tree:
+ if (!complex && logarg.info(info_flags::negative))
+ logarg = -logarg;
+ logex = log(logarg);
+ } while (logex.is_zero());
+ return logex;
+ break;
+ }
}
} else
- return random_symbol(x,y,z,rational);
+ return random_symbol(x,y,z,rational,complex);
}
}