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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
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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 M( H$ V) R( @8 a4 Q4 @
%MMINTERP 1-D Table Search by Linear Interpolation./ J6 e/ `, f; m( `: l( m
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
' |% F( w7 S+ P5 q) `% TAB searching for the scalar value VAL in the column COL.
4 U4 Y- ~! k* F U) s/ @3 l' s3 }. z- s9 o% All crossings are found and TAB(:,COL) need not be monotonic.
1 {/ H, q& V z% Each crossing is returned as a separate row in Y and Y has as4 F# I1 Y" {( A3 v2 @2 r
% many columns as TAB. Naturally, the column COL of Y contains
0 |, v8 C# P4 w; b3 ]% the value VAL. If VAL is not found in the table, Y=[].
]* H: Q4 L3 C4 ?8 D' I6 q
1 B9 H2 u4 q6 \4 G! t/ F+ H% D.C. Hanselman, University of Maine, Orono ME, 04469* P" n2 @$ `3 b. t' O$ Q6 U6 P
% 1/26/94& {$ \: |4 u( E' a7 ?
% Copyright (c) 1996 by Prentice-Hall, Inc.
3 P6 C/ k9 ` ?7 U% F
2 D0 Z+ ^# m7 ?0 e[rt,ct]=size(tab);1 Z' ]4 f$ [4 i+ i1 S4 H
if length(val)>1, error('VAL must be a scalar.'), end, D3 I! M* C0 c
if col>ct|col<1, error('Chosen column outside table width.'), end$ _2 q$ e/ l. n+ p) k( D* d
if rt<2, error('Table too small or not oriented in columns.'), end& |1 |0 X# I9 }6 {) u" e
above=tab(:,col)>val;0 S: K: |0 Q4 k
below=tab(:,col)<val;
/ W& d) J" q: I' X7 u+ G1 e P# Vequal=tab(:,col)==val;3 w; d7 p y/ B2 f/ ?. I
if all(above==0)|all(below==0), % handle simplest case. i' ~" t3 c4 |& V9 O* U S
y=tab(find(equal), ;6 K0 y( U. e/ y3 }0 M
return
' B# a* u1 u/ r! e" F- i5 kend
; z ^( j1 @1 s4 Y, q6 \+ xpslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
$ z4 E9 e8 @6 f$ p; B" F2 V1 @% Tnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
3 ^+ z$ X: a# [' f1 K, P+ Z/ W6 D& {) U; V
ib=sort([pslope;nslope+1]); % put indices below in order
0 V1 d' S2 {* B ~2 Nia=sort([nslope;pslope+1]); % put indices above in order
1 @0 U: K6 }2 K( m8 ^8 Y5 ?ie=find(equal); % indices where equal to val
# K* n# I$ o, w2 @& K' t G" v% n5 T0 ?. h
[tmp,ix]=sort([ib;ie]); % find where equals fit in result0 e1 d" M& r- T! [8 {: H
ieq=ix>length(ib); % True where equals values fit% K' {# m" g' B5 w, O3 s5 |
ry=length(tmp); % # of rows in result y3 a/ z# X, Q. D/ \2 w
( y& A. v6 c9 }5 v
y=zeros(ry,ct); % poke data into a zero matrix
% L* g: H2 T0 |& h2 Z
( y6 Y& H% g8 }3 Kalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));6 o' j, o% t! R. v, ?1 S S
alpha=alpha(:,ones(1,ct));
6 l2 P+ T/ c1 z( V7 B; [ Ay(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
0 n" Z% O7 Z( P+ E6 t% X
( @8 J4 J+ @5 v; {y(ieq, =tab(ie, ; % equal values% l/ S$ I! g2 f e8 @! I
y(:,col)=val*ones(ry,1); % remove roundoff error |
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