annotate Doc/lib/libcmath.tex @ 15842:f6cd36498a50 legacy-trunk

Document extensions to .pth files.
author Martin v. Löwis <martin@v.loewis.de>
date Sat, 13 Jan 2001 09:54:41 +0000
parents 6613dfd73917
children d923b3c8b152
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1 \section{\module{cmath} ---
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2 Mathematical functions for complex numbers}
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3
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4 \declaremodule{builtin}{cmath}
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5 \modulesynopsis{Mathematical functions for complex numbers.}
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6
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7 This module is always available. It provides access to mathematical
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8 functions for complex numbers. The functions are:
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9
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10 \begin{funcdesc}{acos}{x}
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11 Return the arc cosine of \var{x}.
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12 \end{funcdesc}
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13
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14 \begin{funcdesc}{acosh}{x}
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15 Return the hyperbolic arc cosine of \var{x}.
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16 \end{funcdesc}
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17
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18 \begin{funcdesc}{asin}{x}
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19 Return the arc sine of \var{x}.
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20 \end{funcdesc}
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21
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22 \begin{funcdesc}{asinh}{x}
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23 Return the hyperbolic arc sine of \var{x}.
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24 \end{funcdesc}
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25
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26 \begin{funcdesc}{atan}{x}
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27 Return the arc tangent of \var{x}.
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28 \end{funcdesc}
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29
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30 \begin{funcdesc}{atanh}{x}
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31 Return the hyperbolic arc tangent of \var{x}.
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32 \end{funcdesc}
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33
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34 \begin{funcdesc}{cos}{x}
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35 Return the cosine of \var{x}.
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36 \end{funcdesc}
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37
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38 \begin{funcdesc}{cosh}{x}
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39 Return the hyperbolic cosine of \var{x}.
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40 \end{funcdesc}
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41
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42 \begin{funcdesc}{exp}{x}
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43 Return the exponential value \code{e**\var{x}}.
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44 \end{funcdesc}
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45
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46 \begin{funcdesc}{log}{x}
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47 Return the natural logarithm of \var{x}.
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48 \end{funcdesc}
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49
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50 \begin{funcdesc}{log10}{x}
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51 Return the base-10 logarithm of \var{x}.
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52 \end{funcdesc}
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53
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54 \begin{funcdesc}{sin}{x}
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55 Return the sine of \var{x}.
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56 \end{funcdesc}
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57
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58 \begin{funcdesc}{sinh}{x}
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59 Return the hyperbolic sine of \var{x}.
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60 \end{funcdesc}
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61
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62 \begin{funcdesc}{sqrt}{x}
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63 Return the square root of \var{x}.
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64 \end{funcdesc}
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65
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66 \begin{funcdesc}{tan}{x}
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67 Return the tangent of \var{x}.
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68 \end{funcdesc}
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69
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70 \begin{funcdesc}{tanh}{x}
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71 Return the hyperbolic tangent of \var{x}.
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72 \end{funcdesc}
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73
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74 The module also defines two mathematical constants:
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75
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76 \begin{datadesc}{pi}
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77 The mathematical constant \emph{pi}, as a real.
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78 \end{datadesc}
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79
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80 \begin{datadesc}{e}
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81 The mathematical constant \emph{e}, as a real.
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82 \end{datadesc}
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83
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84 Note that the selection of functions is similar, but not identical, to
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85 that in module \refmodule{math}\refbimodindex{math}. The reason for having
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86 two modules is that some users aren't interested in complex numbers,
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87 and perhaps don't even know what they are. They would rather have
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88 \code{math.sqrt(-1)} raise an exception than return a complex number.
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89 Also note that the functions defined in \module{cmath} always return a
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90 complex number, even if the answer can be expressed as a real number
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91 (in which case the complex number has an imaginary part of zero).