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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)
" l* _# s1 q$ Q% o% ?8 k%MMINTERP 1-D Table Search by Linear Interpolation.! {2 O! _+ z! V( J( k1 l; {
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
' X1 L% T$ M/ _. C/ w! T% TAB searching for the scalar value VAL in the column COL., m. J9 v: _+ V. O: X' k" N
% All crossings are found and TAB(:,COL) need not be monotonic.6 F& o. {/ @' y& _) K- }( L
% Each crossing is returned as a separate row in Y and Y has as
! z+ t( {) q3 @; V9 p: v8 P1 X% many columns as TAB. Naturally, the column COL of Y contains6 y2 H+ H& x) B# H; X" v6 X. ^7 J
% the value VAL. If VAL is not found in the table, Y=[].
6 T) h4 h, ~" ~5 x8 d z
% |0 P5 H# h4 t" |% D.C. Hanselman, University of Maine, Orono ME, 044698 t% w$ j8 l# Z ?: u
% 1/26/94: [0 w! f% D; v+ j3 I, u) ~! e
% Copyright (c) 1996 by Prentice-Hall, Inc. * z. k/ L1 z# E- g; e2 M) |
, n9 w9 U% F% f! I& z, N[rt,ct]=size(tab);
5 o6 B! m$ _% }; i) k* aif length(val)>1, error('VAL must be a scalar.'), end/ |! H- ]2 P3 { h) j$ b
if col>ct|col<1, error('Chosen column outside table width.'), end
/ u' J9 P. X$ K/ sif rt<2, error('Table too small or not oriented in columns.'), end
6 E0 h/ }) r! Y7 w+ _* qabove=tab(:,col)>val;6 a5 f( d( J% [3 N* o* c# I2 z
below=tab(:,col)<val;
, q3 E1 C# Z* W% Q. H1 Zequal=tab(:,col)==val;8 ?+ b1 n+ l; V; ]! R+ r
if all(above==0)|all(below==0), % handle simplest case
( G& H& V/ w# v8 ?7 Z! m y=tab(find(equal), ;
7 y" \5 B/ g) k$ u) h/ s return
l+ g8 {% T" z$ T! C" e' B Eend( q( S8 v- w2 T
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos; W( a& t* q/ N W2 W1 x
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg2 Z, U6 }2 p7 u4 g6 B) Y7 b& e
2 H) b$ M2 t# l' k! ^2 Q7 D
ib=sort([pslope;nslope+1]); % put indices below in order
# e5 [! n+ k6 c0 T1 Q5 {4 mia=sort([nslope;pslope+1]); % put indices above in order3 ^) z2 {- E5 b
ie=find(equal); % indices where equal to val8 `9 S( w. A) O& w
/ f6 b e+ E3 h/ k0 o[tmp,ix]=sort([ib;ie]); % find where equals fit in result
* ~4 w, c! k0 E3 h1 X& c- Wieq=ix>length(ib); % True where equals values fit
3 ]( t n9 F. @& x& R7 rry=length(tmp); % # of rows in result y/ x* T' T$ X9 E4 z: H8 |! \5 m
2 ?$ j$ j) z. F9 i9 t8 Qy=zeros(ry,ct); % poke data into a zero matrix" o$ L3 [: I+ k. N
5 j0 x3 j. _1 M7 E, I6 ]
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));# ~5 H9 k! M/ I( |
alpha=alpha(:,ones(1,ct));7 c+ W1 J# O4 |+ f
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values! v1 }1 O8 a0 @! }3 d
: `9 ^: m2 U# \) D, s, h" S4 ]y(ieq, =tab(ie, ; % equal values
2 c+ E& V* ]7 P/ c, K, A) Ty(:,col)=val*ones(ry,1); % remove roundoff error |
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