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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)- y5 X8 `; j3 F$ w# F4 u; o) y
%MMINTERP 1-D Table Search by Linear Interpolation.8 W0 q) }, G, |7 D0 F7 d- H# g. H
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table0 j9 ^9 ~" n; U
% TAB searching for the scalar value VAL in the column COL., k5 `6 O0 K/ }2 X+ T
% All crossings are found and TAB(:,COL) need not be monotonic.* c$ \0 t8 j: ?6 X0 M! H7 n2 {
% Each crossing is returned as a separate row in Y and Y has as( T; i6 w J, e4 Q9 g: V+ ^
% many columns as TAB. Naturally, the column COL of Y contains s) T. p D; q9 z
% the value VAL. If VAL is not found in the table, Y=[].. d; r+ h3 }5 g& V
y5 X4 H8 h b' \; Y0 w6 G
% D.C. Hanselman, University of Maine, Orono ME, 04469$ y8 r& x! T( O5 [6 r
% 1/26/94
: _$ X9 Q* S( E% [. k% Copyright (c) 1996 by Prentice-Hall, Inc. 8 U4 n: T( i+ \
1 e7 u) G" ?+ j6 G# U[rt,ct]=size(tab);; A6 \) \1 l5 _$ Q7 e' g( o2 I; {
if length(val)>1, error('VAL must be a scalar.'), end% d/ F7 N/ c! T3 r6 }
if col>ct|col<1, error('Chosen column outside table width.'), end# o7 I- O9 |2 R* P+ M
if rt<2, error('Table too small or not oriented in columns.'), end9 }$ E$ r2 b0 C3 g( `" m; r
above=tab(:,col)>val;
$ g# H- O S/ @7 d% abelow=tab(:,col)<val;( }: M: \& {6 T2 ~# L! m
equal=tab(:,col)==val;* T7 ~6 J6 b* A# H$ o6 n
if all(above==0)|all(below==0), % handle simplest case
9 s6 R( n( o3 m, W, v- T& i: d$ o y=tab(find(equal), ;
- O, i& S, a8 j( c# F% @ t return! h( b/ d+ c1 J) P8 E
end t, m, J- W7 M3 E/ {; p
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
$ Q% i3 [ j5 Z" u% M& ]nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg' e# G" e) P; i. v4 n0 Z5 i7 {
+ P) a: V5 h* s& q0 q D
ib=sort([pslope;nslope+1]); % put indices below in order
3 d! X5 m- M7 R* F: hia=sort([nslope;pslope+1]); % put indices above in order% j" `% J5 k/ k
ie=find(equal); % indices where equal to val
# E( o; J* c" `$ W( {9 `" e' G; n) n% g2 [1 [
[tmp,ix]=sort([ib;ie]); % find where equals fit in result3 i3 Y, h3 W" J' t5 M) z
ieq=ix>length(ib); % True where equals values fit
) ^ w7 v+ j% v5 g! u' B+ V3 Iry=length(tmp); % # of rows in result y. D# i3 ?8 X# Q2 o! N
( B t, ?: G6 y: D
y=zeros(ry,ct); % poke data into a zero matrix
0 G& H9 U. B$ `
+ q8 k r) X" k" X0 R' Qalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
5 y9 @2 i* u+ H0 z0 u, zalpha=alpha(:,ones(1,ct));
9 L0 j+ G# l5 O* s4 n8 Ay(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values# r' q( A- R/ C6 P- p$ X# N
3 Q1 Z$ b' K. _3 V" V
y(ieq, =tab(ie, ; % equal values5 q# Q9 ]9 `6 q" b$ z, U/ j! N5 K
y(:,col)=val*ones(ry,1); % remove roundoff error |
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