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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
- 自我介绍
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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)
L7 s& ~9 n2 N: n1 h J%MMINTERP 1-D Table Search by Linear Interpolation.% d! ?! g1 H* _" M1 a
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table1 L; |: M5 ~' ?9 H; a% u8 ?
% TAB searching for the scalar value VAL in the column COL.
" N, q6 a& H4 m5 K& b% All crossings are found and TAB(:,COL) need not be monotonic.
7 }5 \3 z1 u5 C: y% Each crossing is returned as a separate row in Y and Y has as! L- {$ \& ?( x; m1 \
% many columns as TAB. Naturally, the column COL of Y contains
: P0 q- [3 L. W4 r' s% the value VAL. If VAL is not found in the table, Y=[].
# a4 P& A D1 { S1 e
& x% }+ |& { o2 @8 X- N% D.C. Hanselman, University of Maine, Orono ME, 04469
2 @5 }# |8 `: q- @& {0 N% 1/26/949 O6 i& F2 S' P. L# B' \
% Copyright (c) 1996 by Prentice-Hall, Inc. 6 Z1 W. \+ {2 M6 u p# a
3 Y: ?3 b |6 p[rt,ct]=size(tab);; u5 @6 t, z" q0 W8 N/ p
if length(val)>1, error('VAL must be a scalar.'), end
2 ?: D2 x. g/ {8 L! _( t6 }if col>ct|col<1, error('Chosen column outside table width.'), end
3 s0 w" `8 c2 s7 Y1 d0 G3 aif rt<2, error('Table too small or not oriented in columns.'), end
8 a/ V, }6 o& ?6 m, Q5 F3 o5 Oabove=tab(:,col)>val;& \4 h/ t5 R1 v4 o2 o" o* m
below=tab(:,col)<val;
& h' E4 {. l5 c% |equal=tab(:,col)==val;
6 `8 J# p- x! Gif all(above==0)|all(below==0), % handle simplest case
% O$ F9 i1 E/ n y=tab(find(equal), ;" c+ n5 B/ m& s0 b; a* U) U
return6 p5 g* ?( ~/ c8 x3 C& m
end3 E" K0 T& h: n9 q' R9 X
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos* G; |& x2 m6 N
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
5 _$ x& L1 o6 Q3 Z- U2 z. T6 X$ l7 {* Z- m8 z4 v1 {
ib=sort([pslope;nslope+1]); % put indices below in order
+ ?. t, Z) e, f* p% U, Jia=sort([nslope;pslope+1]); % put indices above in order
: T$ E+ k$ ~0 R- g, A( T2 _ie=find(equal); % indices where equal to val! s* |/ E; a+ x% F+ d% F. w+ [
( _# n. j/ N( l. f9 N( p
[tmp,ix]=sort([ib;ie]); % find where equals fit in result
. F3 Y( y2 a3 G5 {( Vieq=ix>length(ib); % True where equals values fit
# r: n$ Z$ p7 c( ]ry=length(tmp); % # of rows in result y, u- s: V7 O% ~% Q+ p+ G
' @% S, y, I: \0 n# R, ` T4 Iy=zeros(ry,ct); % poke data into a zero matrix6 A, b( ]8 a$ }# X
0 ?! L5 v- l% @' u( o
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
9 H/ e/ ?0 G0 ^% A L8 U. Ialpha=alpha(:,ones(1,ct));: I4 v5 H! h5 f
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values% g3 \# W. m1 w. d" K5 ^6 P
- s" R1 ]- U- L( k
y(ieq, =tab(ie, ; % equal values7 g: @+ w1 s q) t& J: q& N. |
y(:,col)=val*ones(ry,1); % remove roundoff error |
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