Mercurial > dropbear
annotate libtommath/tommath.out @ 1411:798854f62430 fuzz
merge from main
author | Matt Johnston <matt@ucc.asn.au> |
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date | Wed, 14 Jun 2017 23:31:42 +0800 |
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1 \BOOKMARK [0][-]{chapter.1}{Introduction}{} |
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2 \BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} |
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3 \BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} |
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4 \BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} |
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5 \BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} |
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6 \BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} |
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7 \BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} |
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8 \BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} |
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9 \BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} |
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10 \BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} |
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11 \BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} |
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12 \BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} |
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13 \BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} |
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14 \BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} |
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15 \BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} |
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16 \BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} |
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17 \BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} |
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18 \BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} |
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19 \BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} |
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20 \BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} |
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21 \BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} |
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22 \BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} |
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23 \BOOKMARK [0][-]{chapter.2}{Getting Started}{} |
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24 \BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} |
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25 \BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} |
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26 \BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} |
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27 \BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} |
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28 \BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} |
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29 \BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} |
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30 \BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} |
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31 \BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} |
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32 \BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} |
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33 \BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} |
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34 \BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} |
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35 \BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} |
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36 \BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} |
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37 \BOOKMARK [0][-]{chapter.3}{Basic Operations}{} |
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38 \BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} |
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39 \BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} |
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40 \BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} |
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41 \BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} |
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42 \BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} |
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43 \BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} |
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44 \BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} |
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45 \BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} |
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46 \BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} |
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47 \BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} |
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48 \BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} |
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49 \BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} |
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50 \BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} |
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51 \BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} |
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52 \BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} |
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53 \BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} |
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54 \BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} |
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55 \BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} |
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56 \BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} |
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57 \BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} |
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58 \BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} |
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59 \BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} |
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60 \BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} |
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61 \BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} |
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62 \BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} |
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63 \BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} |
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64 \BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} |
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65 \BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} |
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66 \BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} |
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67 \BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} |
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68 \BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} |
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69 \BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} |
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70 \BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} |
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71 \BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} |
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72 \BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} |
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73 \BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} |
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74 \BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} |
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75 \BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} |
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76 \BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} |
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77 \BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} |
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78 \BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} |
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79 \BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} |
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