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TA的每日心情 | 开心 2014-9-21 08:29 |
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签到天数: 19 天 [LV.4]偶尔看看III
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群组: 数学建模 群组: 中国矿业大学数学建模协会 群组: 数学趣味、游戏、IQ等 群组: 南京邮电大学数模协会 群组: LINGO |
function y=mminterp(tab,col,val)$ i( L+ @2 S# Z4 Q( v" C6 Q
%MMINTERP 1-D Table Search by Linear Interpolation.
) p' k4 [ ~/ v' X# S* I2 A4 s% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
. w$ a( _" ?; L& G8 v% W% TAB searching for the scalar value VAL in the column COL.
, b* I7 f8 X p, g' K9 A4 A, o! h: K% R% All crossings are found and TAB(:,COL) need not be monotonic.1 y7 k- |- k d+ K0 A
% Each crossing is returned as a separate row in Y and Y has as
% o3 }$ a, Y2 b! k9 ~( e1 A% many columns as TAB. Naturally, the column COL of Y contains/ m2 J2 n1 ], \2 J" E
% the value VAL. If VAL is not found in the table, Y=[].
9 y2 C5 F3 \) \* L3 ^" x( t
' g; Y3 |. H) C+ [* k% D.C. Hanselman, University of Maine, Orono ME, 04469) T, T5 w* e# n
% 1/26/94
, C& ^. p ~3 m7 @! r5 x% Copyright (c) 1996 by Prentice-Hall, Inc. ~% h l3 S) ~: h2 a; E8 o
8 l- c8 V! E7 f8 \1 `5 a; p/ e[rt,ct]=size(tab);2 o( @* ?, t; b" h# N( E
if length(val)>1, error('VAL must be a scalar.'), end g) a+ K! M# {
if col>ct|col<1, error('Chosen column outside table width.'), end
0 Q' H& G8 n2 i! _if rt<2, error('Table too small or not oriented in columns.'), end2 o, p) \8 r8 t( _- s' z8 s
above=tab(:,col)>val;' k7 A7 |* d. N% e, [
below=tab(:,col)<val;
8 z$ `; \* n2 P( }" jequal=tab(:,col)==val;
% a9 M, L( ?* S* ^& \' }5 Yif all(above==0)|all(below==0), % handle simplest case3 a6 O$ H5 t f" v- c% g6 ~
y=tab(find(equal), ;
' W5 J3 D6 j3 B return
& T2 ?7 \6 C g6 X0 L! ^: {end/ N8 {% Y' y# f
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
' v7 c: w3 A# h5 @ l& |nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg8 S- ]$ y8 d3 H9 Q; j1 B, O' A
8 L) g2 S* M. ?) o; U
ib=sort([pslope;nslope+1]); % put indices below in order6 _3 N0 m* l9 y0 ~; d
ia=sort([nslope;pslope+1]); % put indices above in order
# @8 T q' J# R/ r0 q, xie=find(equal); % indices where equal to val
5 _ R) S- ?; K
' `; z4 e5 [: o2 ]3 Z2 W) e4 N[tmp,ix]=sort([ib;ie]); % find where equals fit in result2 |/ g2 q" d( {( X5 S% O- e" W C
ieq=ix>length(ib); % True where equals values fit! ~1 G% e; E; w, S G# p, M
ry=length(tmp); % # of rows in result y: o2 |+ H! l& P6 n
' K5 v R8 m4 H0 |y=zeros(ry,ct); % poke data into a zero matrix
' R3 W* Z! t, }) b8 e7 \
% }( t/ ]% x* K, c) ~% S1 R) talpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
. b% } ?) e+ X4 K' l$ zalpha=alpha(:,ones(1,ct));# ~ X4 ?) R/ l/ Z& _/ D1 A4 X
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values C+ x4 R1 q9 j) ]7 \& Z6 E' W
& x( O$ F' P5 Z+ Oy(ieq, =tab(ie, ; % equal values! q L) H* u" e( |$ l9 U( y* C+ O; J
y(:,col)=val*ones(ry,1); % remove roundoff error |
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