836
Appendix A: System Routines — Math
TI
-
89 / TI
-
92 Plus Developer Guide
Not for Distribution
Beta Version January 26, 2001
push_standardize
Declaration:
void
push_standardize
(EStackIndex
i
)
Category(ies):
Math
Description:
Pushes onto the estack an equivalent expression in which for all sums at
all recursive levels:
•
The sums contain no negative exponents or monomial factors.
•
The leading coefficient is positive.
•
If the numeric factors of the terms are all exactly-representable whole
numbers, then the gcd these numeric factors is 1. Otherwise the
leading coefficient is 1.0. This is the minimum level of factorization. It
includes forming common denominators. To within further factorization
of sums, it standardizes expressions so that similar factors are more
likely to be recognized.
Examples:
x^-1
†
(y^2
†
L
6 + y
†
4) + 5 -> (x
†
5 + (y
†
3 +
L
2)
†
y
†
L
2)
†
x^
L
1
x^-1
†
(y^2
†
L
6.0 + y
†
4) + 5 -> (x
†
5 + (y
†
3.0 +
L
2)
†
y
†
L
2)
†
x^
L
1
x^-1
†
(y^2
†
L
1.2 + y
†
4) + 5 -> (x + (y +
L
3.333 . . . )
†
y
†
L
.24)
†
x^
L
1
†
5.0
Inputs:
i
— Indexes the top tag of an internally-simplified algebraic expression.
Outputs:
None
Assumptions:
None
Side Effects:
None
Availability:
On AMS 2.02 and higher.
TI
-
89 / TI
-
92 Plus
Differences:
None
See Also: push_factor, push_comdenom
push_quantum_as_nonnegative_int(2u);
exponent = top_estack;
push_quantum (8u); /* Push variable x */
replace_top2_with_pow (exponent);
power = top_estack; /* x^2 */
push_quantum (8u); /* Push variable x */
replace_top2_with_sum (power); /* top_estack -> x^2 + x */
push_standardize (top_estack); /* Pushes (x + 1)*x */
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