Push_Standardize - Texas Instruments TI-89 Developer's Manual

836

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:
Examples:
x^-1 † (y^2 † L6 + y † 4) + 5 -> (x † 5 + (y † 3 + L2) † y † L2) † x^L1
x^-1 † (y^2 † L6.0 + y † 4) + 5 -> (x † 5 + (y † 3.0 + L2) † y † L2) † x^L1
x^-1 † (y^2 † L1.2 + y † 4) + 5 -> (x + (y + L3.333 . . . ) † y † L.24) † x^L1 † 5.0
Inputs: i
Outputs: None
Assumptions: None
Side Effects: None
Availability: On AMS 2.02 and higher.
TI-89 / TI-92 Plus
None
Differences:
See Also: push_factor, push_comdenom
push_quantum_as_nonnegative_int(2u);
exponent = top_estack;
push_quantum (8u);
replace_top2_with_pow (exponent);
power = top_estack;
push_quantum (8u);
replace_top2_with_sum (power);
push_standardize (top_estack);
TI-89 / TI-92 Plus Developer Guide
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.
— Indexes the top tag of an internally-simplified algebraic expression.
/* Push variable x */
/* x^2 */
/* Push variable x */
/* top_estack -> x^2 + x */
/* Pushes (x + 1)*x */
Not for Distribution
Appendix A: System Routines — Math
Beta Version January 26, 2001