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[diderot] Diff of /branches/pure-cfg/doc/report/basis.tex
 [diderot] / branches / pure-cfg / doc / report / basis.tex

# Diff of /branches/pure-cfg/doc/report/basis.tex

revision 699, Fri Mar 25 19:56:38 2011 UTC revision 700, Fri Mar 25 23:38:46 2011 UTC
# Line 9  Line 9
9  \newcommand{\imageTy}[2]{\mkw{image}(#1)[#2]}  \newcommand{\imageTy}[2]{\mkw{image}(#1)[#2]}
10  \newcommand{\kernelTy}[2]{\mkw{kernel\#}#2}  \newcommand{\kernelTy}[2]{\mkw{kernel\#}#2}
11  \newcommand{\fieldTy}[3]{\mkw{field\#}#1(#2)[#3]}  \newcommand{\fieldTy}[3]{\mkw{field\#}#1(#2)[#3]}
12    \newcommand{\tensorTy}[1]{\mkw{tensor}[#1]}
13    \newcommand{\seqTy}[2]{#1\mkw{\{}#2\mkw{\}}}
14
16
# Line 20  Line 22
22      returns the principal value of the arc tangent of $\frac{y}{x}$,      returns the principal value of the arc tangent of $\frac{y}{x}$,
23      using the signs of both arguments to determine the quadrant of the return      using the signs of both arguments to determine the quadrant of the return
24      value.      value.
25    \FNSPEC{CL}{\mkw{tensor}[3,3]}{\mkw{real}}    \FNSPEC{CL}{\tensorTy{3,3}}{\mkw{real}}
26    \PFNSPEC{convolve}{d,k,\sigma}{(\imageTy{d}{\sigma},\,\kernelTy{k})}{\fieldTy{k}{d}{\sigma}}    \PFNSPEC{convolve}{d,k,\sigma}{(\imageTy{d}{\sigma},\,\kernelTy{k})}{\fieldTy{k}{d}{\sigma}}
27    \FNSPEC{cos}{\mkw{real}}{\mkw{real}}    \FNSPEC{cos}{\mkw{real}}{\mkw{real}}
28      returns the cosine of its argument (measured in radians).      returns the cosine of its argument (measured in radians).
29    \PFNSPEC{dot}{d}{(\mkw{tensor}[d],\,\mkw{tensor}[d])}{\mkw{real}}    \PFNSPEC{dot}{d}{(\tensorTy{d},\, \tensorTy{d})}{\mkw{real}}
30        returns the dot product of two vectors.
31      \FNSPEC{evals}{\tensorTy{3,3}}{\seqTy{\mkw{vec3}}{3}}
32      \FNSPEC{evecs}{\tensorTy{3,3}}{\seqTy{\mkw{real}}{3}}
33    \PFNSPEC{inside}{k,d,\sigma}{(\fieldTy{k}{d}{\sigma},\,\mkw{tensor}[d])}{\mkw{bool}}    \PFNSPEC{inside}{k,d,\sigma}{(\fieldTy{k}{d}{\sigma},\,\mkw{tensor}[d])}{\mkw{bool}}
35      loads the named image file, which should be a Nrrd file.      loads the named image file, which should be a Nrrd file.
# Line 44  Line 49
49      returns the square root of its argument.      returns the square root of its argument.
50    \FNSPEC{tan}{\mkw{real}}{\mkw{real}}    \FNSPEC{tan}{\mkw{real}}{\mkw{real}}
51      returns the tangent of its argument (measured in radians).      returns the tangent of its argument (measured in radians).
52      \PFNSPEC{trace}{d}{\tensorTy{d,d}}{\mkw{real}}
53        returns the \emph{trace} of a square matrix.
54  \end{description}%  \end{description}%
55
56  \section{Kernels}  \section{Kernels}

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