Texas Instruments TI89 Developer Guide - Page 302
Declaration, lead_factor_index, Categoryies, Description, Inputs, Outputs
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260 Appendix A: System Routines - Algebra Utilities lead_factor_index Declaration: Category(ies): Description: Inputs: Outputs: EStackIndex lead_factor_index (EStackIndex i) Algebra Utilities If i indexes a MULTIPLY_TAG, returns the index of the shallower of its two operands. Otherwise returns i. Internally-simplified products and ratios have the most main factor shallowest, with less main factors deeper. Also, the lead factor of an internally-simplified product is never a product. For example: If i indexes the internally-simplified expression (3 * x^2) * y then lead_factor_index(i) returns index(x^2). If i indexes the internally-simplified expression x^2 then lead_factor_index(i) returns index(x^2). Internally-simplified numeric denominator factors are combined with numeric numerator factors into a fractional numeric factor. For example: If i indexes the internally-simplified expression 3/2 then lead_factor_index(i) returns index(3/2). Non-numeric denominator factors are internally simplified to be merged with numerator factors as negative powers. For example: If i indexes the internally-simplified expression 2/x then lead_factor_index(i) returns index(x^-1). A factor having a sum as its base orders shallower than a factor having the sum's main variable as its base. For example: If i indexes the internally-simplified expression (x + 1)^-2 * x^3 then lead_factor_index returns index((x + 1)^-2). i - Index of the top tag of an internally-simplified algebraic expression. If i indexes a MULTIPLY_TAG, returns the index of the shallower of its two operands. Otherwise returns i. Internally-simplified products and ratios have the most main factor shallowest, with less main factors deeper. Also, the lead factor of an internally-simplified product is never a product. (continued) TI-89 / TI-92 Plus Developer Guide Not for Distribution Beta Version January 26, 2001
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