Diff of /trunk/doc/report/basis.tex

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	revision 1246, Wed May 18 21:27:33 2011 UTC	revision 1247, Wed May 18 21:27:46 2011 UTC
#	Line 35	Line 35
35	loads the named image file, which should be a Nrrd file.	loads the named image file, which should be a Nrrd file.
36	Note that this function may only be used in the global initialization part of a Diderot	Note that this function may only be used in the global initialization part of a Diderot
37	program.	program.
38		\PFNSPEC{lerp}{\sigma}{(\tensorTy{\sigma},\,\tensorTy{\sigma},\,\mkw{real})}{\tensorTy{\sigma}}
39		linear interpolationover the interval $[0,1]$:
40		\begin{displaymath}
41		\mathtt{lerp} (x, y, t) = x(1-t) + a
42		\end{displaymath}%
43		\PFNSPEC{lerp}{\sigma}{(\tensorTy{\sigma},\,\tensorTy{\sigma},\,\mkw{real},\,\mkw{real},\,\mkw{real})}{\tensorTy{\sigma}}
44		linear interpolation over an arbitrary range:
45		\begin{displaymath}
46		\mathtt{lerp} (x, y, \mathit{lo}, t, \mathit{hi}) =
47		\mathtt{lerp}\left({x, y, \frac{t - \mathit{lo}}{\mathit{hi} - \mathit{lo}}}\right)
48		\end{displaymath}%
49	\FNSPEC{max}{(\mkw{real},\,\mkw{real})}{\mkw{real}}	\FNSPEC{max}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
50	returns the minimum of its two arguments.	returns the minimum of its two arguments.
51	\FNSPEC{min}{(\mkw{real},\,\mkw{real})}{\mkw{real}}	\FNSPEC{min}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
52	returns the maximum of its two arguments.	returns the maximum of its two arguments.
53	\FNSPEC{modulate}{(\mkw{tensor}[d],\,\mkw{tensor}[d])}{\mkw{tensor}[d]}	\PFNSPEC{modulate}{d}{(\mkw{tensor}[d],\,\mkw{tensor}[d])}{\mkw{tensor}[d]}
54		component-wise multiplication of two vectors.
55		\PFNSPEC{normalize}{d}{\mkw{tensor}[d]}{\mkw{tensor}[d]}
56		normalize a vector to a unit vector.
57	\FNSPEC{pow}{(\mkw{real},\,\mkw{real})}{\mkw{real}}	\FNSPEC{pow}{(\mkw{real},\,\mkw{real})}{\mkw{real}}
58	returns the first argument raised to the power of the second argument.	returns the first argument raised to the power of the second argument.
59	\PFNSPEC{principleEvec}{d}{\mkw{tensor}[d,d]}{\mkw{tensor}[d]}	\PFNSPEC{principleEvec}{d}{\mkw{tensor}[d,d]}{\mkw{tensor}[d]}

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