Texas Instruments TI-89 - Replace_Top2_With_Pow

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Appendix A: System Routines — Math
TI
-
89 / TI
-
92 Plus Developer Guide
Not for Distribution
Beta Version January 26, 2001
replace_top2_with_pow
Declaration:
void
replace_top2_with_pow
(EStackIndex
i
)
Category(ies):
Math
Description:
Replaces the top two expressions of the estack with (top
expression)^(expression
i
). If expression
i
is a square matrix, pushes the
same-size identity matrix. If
top_estack
indexes a zero, pushes the
iterated matrix product. If
top_estack
indexes a positive whole number,
pushes the inverse matrix or else its iterated matrix product if
top_estack
indexes a negative whole number.
Inputs:
i
— Index to the top tag of the deeper of the top two expressions of the
estack. These top two expressions are internally-simplified
algebraic expressions, algebraic comparisons, or aggregates
thereof.
Outputs:
None
Assumptions:
None
Side Effects:
None
Availability:
On AMS 2.02 and higher.
TI
-
89 / TI
-
92 Plus
Differences:
None
See Also: push_dot_exponentiate, raise_to_top, push_exponentiate, push_sqrt,
push_square, push_reciprocal, replace_top_with_reciprocal
Example:
void push_arclen(EStackIndex i,EStackIndex vi,EStackIndex j,EStackIndex k)
/* j and k index expressions, vi indexes a variable, and i indexes an
expression simplified through variable vi.
Pushes onto the estack the arc displacement of expression i with respect
to vi going from j through k.
*/
{ Access_AMS_Global_Variables;
EStackIndex m, old_top = top_estack;
push_quantum_as_nonnegative_int (2u);
m = top_estack;
push_1st_derivative (i, vi);
replace_top2_with_pow (m);
add1_to_top ();
i = top_estack;
push_sqrt (i);
delete_between (old_top, i);
i = top_estack;
push_def_int (i, vi, j, k);
delete_between (old_top, i);
}