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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)
2 }' v* M' `& D* |%MMINTERP 1-D Table Search by Linear Interpolation.. m: ]3 E3 |; b6 X
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
; }; F# Q6 G% \% I& ^* @' h: L% TAB searching for the scalar value VAL in the column COL.! v( @, B$ w! _, h$ [
% All crossings are found and TAB(:,COL) need not be monotonic.2 p2 f& n/ a1 ~' c ^
% Each crossing is returned as a separate row in Y and Y has as
: C# j: P }" B7 B0 a% many columns as TAB. Naturally, the column COL of Y contains
& T, C; C. ]. X z* {* Z% the value VAL. If VAL is not found in the table, Y=[].
4 B+ D0 U. a6 H& z' Q* O
; n0 `) D- w" m( X% D.C. Hanselman, University of Maine, Orono ME, 04469
9 R* u- M; K: e5 _2 {' e2 \ g% 1/26/94+ l0 j s7 g9 R4 z1 h( H
% Copyright (c) 1996 by Prentice-Hall, Inc.
; |; Z5 y$ h- J8 d3 m
4 \3 ^& ^6 O; R5 x9 I( f- f7 q: T[rt,ct]=size(tab);
3 u U( P: }$ C/ W! {0 Zif length(val)>1, error('VAL must be a scalar.'), end
s& k7 ]: B! \/ |- oif col>ct|col<1, error('Chosen column outside table width.'), end# Y+ K5 B+ F- ~5 k, ~) h
if rt<2, error('Table too small or not oriented in columns.'), end! X4 U, v6 Q6 m8 n; X7 P( l
above=tab(:,col)>val;. J7 @7 Y' z4 c- d& B% Z$ T
below=tab(:,col)<val;
7 K, ?9 T" u; M! t: ]equal=tab(:,col)==val;. |7 Z! U$ Z# v
if all(above==0)|all(below==0), % handle simplest case f. m' e' |! n' Z7 Z
y=tab(find(equal), ;$ G- h& }3 O& [: q! f
return+ I* F0 D: L. l4 q7 e
end
0 T' P) {; ]. s2 ]9 R1 [# Rpslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos5 c9 ~: ]5 M4 @, W! f' u
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
! c8 t& N# G1 r7 b, ?/ F' o3 t8 k8 P5 B" x' |3 Z: Y. [3 d! P
ib=sort([pslope;nslope+1]); % put indices below in order
+ h$ w3 _9 I' H4 }# o8 dia=sort([nslope;pslope+1]); % put indices above in order' w4 T5 \8 i* T% p
ie=find(equal); % indices where equal to val5 X+ d8 A, h. d7 D+ a, e
8 g" l2 e( ~3 _8 U# g: _
[tmp,ix]=sort([ib;ie]); % find where equals fit in result
/ x ?! F, a* b! Y8 Uieq=ix>length(ib); % True where equals values fit" g4 x$ y1 x9 c' b: p# v0 i9 d
ry=length(tmp); % # of rows in result y, S4 n3 e8 C( G+ v, P: ^9 K
- e7 J1 M0 J6 M6 t" i4 i; _; j' w
y=zeros(ry,ct); % poke data into a zero matrix
) q# S# }+ S9 W- s, e7 R# [8 \$ \
- c* k) t# V0 a7 N$ G- B% ^alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
6 l5 E) j/ v5 m& h/ }+ r4 s* ]2 _alpha=alpha(:,ones(1,ct));. a, ~$ I$ I& \/ f3 W$ \
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
9 D1 G3 b3 V/ w) v+ k2 S# K
0 w- I* n# t% X. m: oy(ieq, =tab(ie, ; % equal values0 h# Q: J* M# ]# M
y(:,col)=val*ones(ry,1); % remove roundoff error |
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