Appendix A: System Routines — Algebra Utilities
273
TI
-
89 / TI
-
92 Plus Developer Guide
Not for Distribution
Beta Version January 26, 2001
push_denominator
Declaration:
void
push_denominator
(EStackIndex
i
)
Category(ies):
Algebra Utilities
Description:
Pushes the denominator of the expression indexed by
i
onto the estack.
The denominator of a float or integer is 1.
DIVIDE_TAG does not occur in internally-simplified expressions.
Therefore, the denominator of a power is the reciprocal of the power if the
degree is negative; otherwise the denominator is 1. The denominator of a
product is the passive product of the reciprocals of the factors that have
negative degrees. Otherwise the denominator is 1.
Note that:
The denominator of 1.5 is 1.
The denominator of x^-2 is x^-2.
The denominator of x
†
(y + 1)^-1
†
y^-1
†
3 is (y + 1)
†
y.
The denominator of x^-1 + 3 is 1.
Inputs:
i
— Indexes the top tag of an internally-simplified algebraic expression.
Outputs:
None
Assumptions:
None
Side Effects:
None
Availability:
All versions of the TI
-
89 / TI
-
92 Plus.
TI
-
89 / TI
-
92 Plus
Differences:
None
See Also: push_numerator, push_standardize, push_comdenom
Example:
void push_denominator_of_com_denom (EStackIndex i)
/* Pushes the denominator of the expression that would be obtained by
putting the expression indexed by i over a common denominator.
*/
{ Access_AMS_Global_Variables;
EStackIndex old_top = top_estack;
push_standardize (i);
i = top_estack;
push_denominator (i);
delete_between (old_top, i);
}
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