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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
- 我思我在
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)* a6 f% a3 s& Q0 z' l1 s. ^! I
%MMINTERP 1-D Table Search by Linear Interpolation.3 Q1 G* t* ?+ U8 V/ w7 q7 _. M
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table1 N& J% u+ D X! D) O) L
% TAB searching for the scalar value VAL in the column COL.
0 @7 O( Y0 d6 p5 P4 ~0 [8 X d& B% All crossings are found and TAB(:,COL) need not be monotonic.
& p& r' R) P7 m/ G( k' x1 T2 A% Each crossing is returned as a separate row in Y and Y has as
* I' v! P5 ]! u5 e8 T% many columns as TAB. Naturally, the column COL of Y contains1 U3 P4 @; X5 ~, q& q
% the value VAL. If VAL is not found in the table, Y=[].
# R8 T9 C" K3 M1 T
+ c1 x7 }) B: N( C1 e% D.C. Hanselman, University of Maine, Orono ME, 04469# k1 t3 i1 Q. s* o5 o
% 1/26/94
d1 s8 i- Q5 S7 w( W% Copyright (c) 1996 by Prentice-Hall, Inc. - D/ \! l' _8 f7 P% w# {4 }$ Z
2 E/ e; a& U% ?7 `* i* t [( `9 d[rt,ct]=size(tab);
$ ~; ^! ?1 ~" E$ {, u5 Q1 `if length(val)>1, error('VAL must be a scalar.'), end
/ V% e* q' W B' L3 f, eif col>ct|col<1, error('Chosen column outside table width.'), end3 U4 f$ q0 X5 |) R3 G
if rt<2, error('Table too small or not oriented in columns.'), end
( B* Q4 u7 N8 ?/ {above=tab(:,col)>val;3 \1 l& x* k0 D- k7 e' G, u6 _8 ~
below=tab(:,col)<val;5 W$ P1 S% ^$ t: m" [
equal=tab(:,col)==val;0 T7 X+ V7 V+ O" M/ ]4 u& R
if all(above==0)|all(below==0), % handle simplest case& E7 o& Q! L6 n9 o- Y3 Q: [" D q: H
y=tab(find(equal), ;
c) ?. f5 x) x. V return
- m% D) @2 q, i! Z' zend
3 e! W7 R' L5 ypslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos" i( n- q' T5 @: p5 A
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
; K9 F" R# C3 @9 C8 W4 j* k# f) T' r, B6 p1 l H3 m$ R& y) V( c+ H
ib=sort([pslope;nslope+1]); % put indices below in order
/ V" }& C; @ jia=sort([nslope;pslope+1]); % put indices above in order
5 x$ }/ v$ y+ g% G7 z" Mie=find(equal); % indices where equal to val
, M- M* |7 K. u2 U6 A; x
% X1 u0 {4 d" H+ I. \8 r$ {8 I[tmp,ix]=sort([ib;ie]); % find where equals fit in result
, P6 ~& c9 G9 g) t# ^8 J" Jieq=ix>length(ib); % True where equals values fit
0 G7 Q# M6 T2 ` rry=length(tmp); % # of rows in result y2 Z& _' \+ {5 t0 i. w' ^. J
4 e( D. B a8 ]. c, s. b% o( _" Oy=zeros(ry,ct); % poke data into a zero matrix
. D1 @0 J: _+ P K- e5 c/ G& U& r$ |* S) @, \. b! M% d. U, j% ]$ @
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
6 f! _. c5 |- P$ Ealpha=alpha(:,ones(1,ct));
9 H' k3 e) \* F6 m8 }$ l) T" Xy(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
( m( l. l# `0 Z. ~: F3 i/ h w, y$ S. ?, o/ ]) d+ u
y(ieq, =tab(ie, ; % equal values
1 f. z' C S% i5 ~y(:,col)=val*ones(ry,1); % remove roundoff error |
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