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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)0 M7 ^$ s% K& o9 \
%MMINTERP 1-D Table Search by Linear Interpolation.
- j( A* q4 @+ ? ?5 l4 c' I% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
8 e o1 ]) {8 J" a E" r0 Z; J. H( ]% TAB searching for the scalar value VAL in the column COL.6 R+ B* m4 x/ e+ ?7 m' T6 E
% All crossings are found and TAB(:,COL) need not be monotonic.
, E2 ~; Y# i( R" W& P% b$ s% Each crossing is returned as a separate row in Y and Y has as6 {6 @, h3 M: w! A# t
% many columns as TAB. Naturally, the column COL of Y contains1 e/ U% S$ ~/ m0 A
% the value VAL. If VAL is not found in the table, Y=[]." {) y: e1 R) B1 b' T, g
$ o" A4 x! L) _$ C; f7 k/ E% D.C. Hanselman, University of Maine, Orono ME, 04469
& [( F6 h: p$ e! d3 \% 1/26/94
- W$ }" j2 G5 j3 N) L% Copyright (c) 1996 by Prentice-Hall, Inc. 7 J* R) d, T% ~: c- r" `0 X% R
8 ~1 H7 J! z. G9 Y8 U
[rt,ct]=size(tab);/ O! ^, {7 M6 x" N, n( R
if length(val)>1, error('VAL must be a scalar.'), end% X( [6 Z( |7 R
if col>ct|col<1, error('Chosen column outside table width.'), end
% F1 o6 c% E; A' \# ]/ I% O- Kif rt<2, error('Table too small or not oriented in columns.'), end ?: e6 B! C; ^4 H3 R& _5 M
above=tab(:,col)>val;
- C! m- T: t5 ~6 s3 o( L+ Ybelow=tab(:,col)<val;
4 l: f P' \9 P, J; @4 y. V; xequal=tab(:,col)==val;0 [0 o$ I# `3 d
if all(above==0)|all(below==0), % handle simplest case; \5 `" O! m& u2 _% W
y=tab(find(equal), ;
9 n$ C, A/ G( l% _8 S" \7 R9 z; O/ K return
$ p% u* K' X0 _( c) z# K& kend
: X& Y- _7 H7 Z& {/ u, F4 Bpslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos' ?4 R6 v, q) q- x
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
/ G( t% V) r6 k& O8 ~
7 c8 C0 |0 C+ |3 U/ pib=sort([pslope;nslope+1]); % put indices below in order" a# p# v( T( v {. u' P
ia=sort([nslope;pslope+1]); % put indices above in order
3 e& f+ w+ v9 p* Q: Eie=find(equal); % indices where equal to val$ U5 {7 D& E* ^# a7 o- O
: v6 O# q, ~) m3 ^& s5 E) @( H7 O
[tmp,ix]=sort([ib;ie]); % find where equals fit in result, P% f+ ]: w" e6 [9 g% o; K
ieq=ix>length(ib); % True where equals values fit8 H" S, l5 d+ t5 P" X5 w
ry=length(tmp); % # of rows in result y
, c$ {/ V: [6 d4 J8 W- I% k% Z. m* D/ \7 D( }+ L- o
y=zeros(ry,ct); % poke data into a zero matrix
# {: B: v+ b9 T4 r0 ^& f) J
# y# ?: b% L# G: X+ K# S6 l6 ralpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
6 L* Y9 V% V+ i1 C0 talpha=alpha(:,ones(1,ct));" ~9 k/ i5 P6 ~" v
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
% A1 D2 X/ G. g O" j7 Y9 X W: E# y9 l4 P( G6 c% j" N
y(ieq, =tab(ie, ; % equal values
+ H, {' y/ \$ a3 D4 A+ xy(:,col)=val*ones(ry,1); % remove roundoff error |
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