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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). p) I( t1 d* _' G! n
%MMINTERP 1-D Table Search by Linear Interpolation.) l/ v+ R3 X3 B+ e7 ~. _! Q
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table( v8 k% D& K. z K- C
% TAB searching for the scalar value VAL in the column COL.! N$ p; w% X5 F0 |
% All crossings are found and TAB(:,COL) need not be monotonic.
7 T2 T) S0 J0 E% Each crossing is returned as a separate row in Y and Y has as
, a$ Y1 N8 u5 y) d% many columns as TAB. Naturally, the column COL of Y contains4 ^; a- j$ ?& ]: b1 s1 A+ F
% the value VAL. If VAL is not found in the table, Y=[].& @9 p" l* R" q& u( M/ Y5 {) G. J
" P! `7 K* b( P$ J( N' g5 s$ E% D.C. Hanselman, University of Maine, Orono ME, 04469- m* N# z& |& q; Q+ _4 i3 y( _
% 1/26/94( `; d3 k6 W% T1 |- q( J B* V: R
% Copyright (c) 1996 by Prentice-Hall, Inc.
2 c2 Q9 l& e) w
0 c5 D- ~, c# O2 d( g[rt,ct]=size(tab);
4 G w9 D+ M* x" i0 B# E$ b. Yif length(val)>1, error('VAL must be a scalar.'), end- x! }$ s# _( c1 j, m! \
if col>ct|col<1, error('Chosen column outside table width.'), end
; ~* A, s+ v3 o) D. b! Wif rt<2, error('Table too small or not oriented in columns.'), end: Q7 C D2 j# d
above=tab(:,col)>val;4 ^( f, L$ ]$ D/ I V
below=tab(:,col)<val;
5 Q0 f6 a3 j# h1 q- Wequal=tab(:,col)==val;
8 Z$ q* t% z, hif all(above==0)|all(below==0), % handle simplest case( n/ j( S9 G+ W0 z! O2 o5 Z, ]
y=tab(find(equal), ;
; S; z, |5 v& X4 C" j return! C" v" v E) h! t: s1 w) Z8 ^
end
7 j& v2 B; V2 H, T% J: l5 @pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos( F- l9 r) Q A/ N) P- S7 {6 m. k$ R- S
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg7 N9 S3 ]) l9 n2 }
: m! `1 \% \ }) jib=sort([pslope;nslope+1]); % put indices below in order
) o3 \( N5 H Q# Aia=sort([nslope;pslope+1]); % put indices above in order4 m+ a" y2 J5 t7 Y( m* ^% U
ie=find(equal); % indices where equal to val
, R( {& i* s F9 J
" U% R x$ O1 d" v[tmp,ix]=sort([ib;ie]); % find where equals fit in result
! n0 n9 s N; o( v1 ?' B: sieq=ix>length(ib); % True where equals values fit- t* ~. T! T: R! H; U# J. `! A6 ?
ry=length(tmp); % # of rows in result y L/ [! n$ d! e/ y: C' d8 U# p
0 n# j1 p8 x3 _3 {y=zeros(ry,ct); % poke data into a zero matrix& U/ U; a2 d9 W
* ]; b, m) T _1 o
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
0 x% B5 P% t" U8 P4 ]1 qalpha=alpha(:,ones(1,ct));% c7 b% h0 j: k
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
- I* U4 ^& Q0 T; Y/ l8 Z
; ~4 w2 C' U2 u. zy(ieq, =tab(ie, ; % equal values
+ x0 {+ n: L3 e$ O( zy(:,col)=val*ones(ry,1); % remove roundoff error |
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