annotate Doc/lib/libmath.tex @ 12357:5b59ea41db4e legacy-trunk

Install the docs (with fewer rules). Add descriptions for the system variables.
author Guido van Rossum <guido@python.org>
date Mon, 10 Apr 2000 19:36:27 +0000
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1 \section{\module{math} ---
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2 Mathematical functions}
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3
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4 \declaremodule{builtin}{math}
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5 \modulesynopsis{Mathematical functions (\function{sin()} etc.).}
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6
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7 This module is always available. It provides access to the
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8 mathematical functions defined by the C standard.
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9
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10 These functions cannot be used with complex numbers; use the functions
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11 of the same name from the \refmodule{cmath} module if you require
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12 support for complex numbers. The distinction between functions which
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13 support complex numbers and those which don't is made since most users
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14 do not want to learn quite as much mathematics as required to
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15 understand complex numbers. Receiving an exception instead of a
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16 complex result allows earlier detection of the unexpected complex
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17 number used as a parameter, so that the programmer can determine how
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18 and why it was generated in the first place.
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19
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20 The following functions provided by this module:
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21
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22 \begin{funcdesc}{acos}{x}
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23 Return the arc cosine of \var{x}.
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24 \end{funcdesc}
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25
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26 \begin{funcdesc}{asin}{x}
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27 Return the arc sine of \var{x}.
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28 \end{funcdesc}
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29
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30 \begin{funcdesc}{atan}{x}
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31 Return the arc tangent of \var{x}.
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32 \end{funcdesc}
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33
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34 \begin{funcdesc}{atan2}{y, x}
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35 Return \code{atan(\var{y} / \var{x})}.
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36 \end{funcdesc}
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37
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38 \begin{funcdesc}{ceil}{x}
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39 Return the ceiling of \var{x} as a real.
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40 \end{funcdesc}
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41
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42 \begin{funcdesc}{cos}{x}
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43 Return the cosine of \var{x}.
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44 \end{funcdesc}
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45
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46 \begin{funcdesc}{cosh}{x}
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47 Return the hyperbolic cosine of \var{x}.
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48 \end{funcdesc}
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49
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50 \begin{funcdesc}{exp}{x}
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51 Return \code{e**\var{x}}.
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52 \end{funcdesc}
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53
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54 \begin{funcdesc}{fabs}{x}
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55 Return the absolute value of the real \var{x}.
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56 \end{funcdesc}
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57
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58 \begin{funcdesc}{floor}{x}
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59 Return the floor of \var{x} as a real.
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60 \end{funcdesc}
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61
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62 \begin{funcdesc}{fmod}{x, y}
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63 Return \code{\var{x} \%\ \var{y}}.
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64 \end{funcdesc}
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65
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66 \begin{funcdesc}{frexp}{x}
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67 Return the matissa and exponent for \var{x}. The mantissa is
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68 positive.
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69 \end{funcdesc}
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70
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71 \begin{funcdesc}{hypot}{x, y}
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72 Return the Euclidean distance, \code{sqrt(\var{x}*\var{x} + \var{y}*\var{y})}.
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73 \end{funcdesc}
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74
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75 \begin{funcdesc}{ldexp}{x, i}
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76 Return \code{\var{x} * (2**\var{i})}.
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77 \end{funcdesc}
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78
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79 \begin{funcdesc}{log}{x}
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80 Return the natural logarithm of \var{x}.
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81 \end{funcdesc}
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82
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83 \begin{funcdesc}{log10}{x}
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84 Return the base-10 logarithm of \var{x}.
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85 \end{funcdesc}
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86
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87 \begin{funcdesc}{modf}{x}
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88 Return the fractional and integer parts of \var{x}. Both results
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89 carry the sign of \var{x}. The integer part is returned as a real.
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90 \end{funcdesc}
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91
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92 \begin{funcdesc}{pow}{x, y}
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93 Return \code{\var{x}**\var{y}}.
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94 \end{funcdesc}
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95
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96 \begin{funcdesc}{sin}{x}
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97 Return the sine of \var{x}.
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98 \end{funcdesc}
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99
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100 \begin{funcdesc}{sinh}{x}
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101 Return the hyperbolic sine of \var{x}.
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102 \end{funcdesc}
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103
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104 \begin{funcdesc}{sqrt}{x}
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105 Return the square root of \var{x}.
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106 \end{funcdesc}
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107
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108 \begin{funcdesc}{tan}{x}
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109 Return the tangent of \var{x}.
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110 \end{funcdesc}
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111
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112 \begin{funcdesc}{tanh}{x}
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113 Return the hyperbolic tangent of \var{x}.
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114 \end{funcdesc}
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115
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116 Note that \function{frexp()} and \function{modf()} have a different
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117 call/return pattern than their C equivalents: they take a single
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118 argument and return a pair of values, rather than returning their
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119 second return value through an `output parameter' (there is no such
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120 thing in Python).
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121
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122 The module also defines two mathematical constants:
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123
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124 \begin{datadesc}{pi}
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125 The mathematical constant \emph{pi}.
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126 \end{datadesc}
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127
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128 \begin{datadesc}{e}
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129 The mathematical constant \emph{e}.
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130 \end{datadesc}
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131
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132 \begin{seealso}
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133 \seemodule{cmath}{Complex number versions of many of these functions.}
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134 \end{seealso}