Read e-book online Algebraic K-Theory, Number Theory, Geometry, and Analysis: PDF

By A. Bak

ISBN-10: 0387128913

ISBN-13: 9780387128917

ISBN-10: 3540128913

ISBN-13: 9783540128915

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Extra resources for Algebraic K-Theory, Number Theory, Geometry, and Analysis: Proceedings

Example text

If this fails, the function returns before setting any of the other members. The MP PREC name represents a constant2 used to dictate the minimum precision of newly initialized mp int integers. Ideally, it is at least equal to the smallest precision number you’ll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow heap operations later functions will have to perform in the future. If MP PREC is set correctly, the slack memory and the number of heap operations will be trivial.

Adding the new multiplication algorithms did not require changes to the mp exptmod() function itself and lowered the total cost of ownership and development (so to speak ) for new algorithms. 1). 1: Design Flow of the First Few Original LibTomMath Functions. Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. It only makes sense to begin the text with the preliminary data types and support algorithms required.

Algorithm mp neg. Input. An mp int a Output. Computes b = −a 1. 2. 3. 4. Copy a to b. (mp copy) If the copy failed return(MP MEM ). used = 0 then return(MP OKAY ). sign = M P N EG. 5. sign = M P ZP OS. 6. 5: Algorithm mp neg Algorithm mp neg. This algorithm computes the negation of an input. First, it copies a over b. If a has no used digits, then the algorithm returns immediately. Otherwise, it flips the sign flag and stores the result in b. Note that if a had no digits, then it must be positive by definition.

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Algebraic K-Theory, Number Theory, Geometry, and Analysis: Proceedings by A. Bak

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