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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)$ K$ e+ j( r# y4 f& a
%MMINTERP 1-D Table Search by Linear Interpolation.
0 |: M5 Y) J0 M! x, T% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
% [5 s) {$ e# t' N# I* X6 s3 {0 [8 ~% TAB searching for the scalar value VAL in the column COL.
& H- h- X! f$ d s% u" G% All crossings are found and TAB(:,COL) need not be monotonic.) Y* e3 t/ L4 U( M9 i6 t6 V3 t
% Each crossing is returned as a separate row in Y and Y has as
7 h) l1 S0 @# Z v' Z% many columns as TAB. Naturally, the column COL of Y contains
# Z6 i- I( n3 t3 B+ F% the value VAL. If VAL is not found in the table, Y=[].
8 y, U- `! _; x- S; z: g
# o, y/ k0 d0 `0 Z6 n* G% D.C. Hanselman, University of Maine, Orono ME, 04469. ?- W# J/ L( p6 ]+ U
% 1/26/94: Z! x: F0 m- F
% Copyright (c) 1996 by Prentice-Hall, Inc. 2 ~3 c* l& F) {( ~; J
M; F" f) [1 b! a4 v[rt,ct]=size(tab);+ u5 b% g+ r: p) F d* W! P1 q
if length(val)>1, error('VAL must be a scalar.'), end
1 ] m6 s N. P. ~7 E5 Yif col>ct|col<1, error('Chosen column outside table width.'), end; F) q# x+ ^ R+ W; j. v9 w% G
if rt<2, error('Table too small or not oriented in columns.'), end
2 U! y5 W! h& B8 G' Dabove=tab(:,col)>val;6 T0 R2 t: Q" w; Z: n7 m( m
below=tab(:,col)<val;
' M. j1 F6 Q, ?! Nequal=tab(:,col)==val;* Z P/ d% g, L5 M6 K! S, I0 k
if all(above==0)|all(below==0), % handle simplest case
) X b4 V% ~3 c+ }4 c( x, D y=tab(find(equal), ;
4 b' F: \- J1 k$ c/ F% C) L" H5 K return: N8 Y3 C: \; Z
end+ S" L' _# y: @& Y S# Z
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
+ F! e4 U# p1 C' inslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg1 Y, q1 ?" F! h/ k. t
* a' q# ~/ K0 k/ a, A) Q' _
ib=sort([pslope;nslope+1]); % put indices below in order' }8 h" G: M3 b; E" A" I: Y
ia=sort([nslope;pslope+1]); % put indices above in order) J# S5 R/ \0 [) ^
ie=find(equal); % indices where equal to val
) Z( q6 Y& G5 b6 v2 G* |+ Q
! H0 N- v( s2 ]! }- l" |, I* Y[tmp,ix]=sort([ib;ie]); % find where equals fit in result3 R- O3 k+ [0 G7 l7 D3 j B' P+ r
ieq=ix>length(ib); % True where equals values fit
/ ^0 P8 h, d& j! g2 J! [% L3 Mry=length(tmp); % # of rows in result y
% P# I$ v6 {8 q8 _: l3 T- b, [( ~4 N k0 m# @' C* F; _
y=zeros(ry,ct); % poke data into a zero matrix8 }' k& F" |) K9 z2 F
: o- T; D1 y. i7 l I: w7 yalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));+ C$ b+ c/ }# [9 @8 j& H" w- d
alpha=alpha(:,ones(1,ct));4 q! R/ B8 V+ [. f, ^
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
5 t( ~5 W) k* o9 ]3 K8 z7 N9 @$ O0 K; O
y(ieq, =tab(ie, ; % equal values
$ t( M" k8 P( d4 e2 u, X- Ky(:,col)=val*ones(ry,1); % remove roundoff error |
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