Texas Instruments TI89 Developer Guide - Page 287
exponent_must_be_1, Returns NULL_INDEX if
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Appendix A: System Routines - Algebra Utilities 245 index_reductum_with_tag_base Declaration: EStackIndex index_reductum_with_tag_base (EStackIndex i, Quantum tag, Boolean exponent_must_be_1) Category(ies): Algebra Utilities Description: Returns i or the index of the first reductum of the expression indexed by i whose lead term has a base beginning with tag. Returns NULL_INDEX if there is no such term. If exponent_must_be_1 is TRUE then the base's exponent must be 1. You can use this function together with push_but_term to push a "sum" of all but the first syntactic term containing a base beginning with tag in the expression indexed by i. Inputs: i - Index of the top tag of an internally-simplified algebraic expression. tag - A primary tag. exponent_must_be_1 - FALSE if the base can have an exponent ≠ 1. Outputs: Returns i or the index of the first reductum of the expression indexed by i whose lead term has a base beginning with tag. Returns NULL_INDEX if there is no such term. Assumptions: None Side Effects: None Availability: On AMS 2.02 and higher. TI-89 / TI-92 Plus Differences: None See Also: push_but_term, index_numeric_term, push_constant_terms, push_nonconstant_terms, push_dependent_terms, push_independent_terms Example: Boolean does_denom_have_sin2 (EStackIndex i) /* Returns TRUE if the term indexed by i has a SIN2 sufficiently exposed in its denominator to warrant putting that term + another term over a common denominator. */ { EStackIndex j; while (! IS_NUMBER_TAG (ESTACK (i))) { j = lead_factor_index (i); if (EXPONENTIATION_TAG == ESTACK (j) && is_negative(next_expression_index(--j)) && index_reductum_with_tag_base (j, SIN2_TAG, FALSE) ) return TRUE; i = remaining_factors_index (i); } return FALSE; } TI-89 / TI-92 Plus Developer Guide Not for Distribution Beta Version January 26, 2001
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