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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 b0 ~8 `" |$ H6 g8 S
%MMINTERP 1-D Table Search by Linear Interpolation." G) D8 g4 X# k! _
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table" v- @. Y- q& M5 @; K8 q
% TAB searching for the scalar value VAL in the column COL.
# _2 Z( E: I) k2 U# w9 ~; |& P% All crossings are found and TAB(:,COL) need not be monotonic.
& P0 t/ l" {# H: ?% Each crossing is returned as a separate row in Y and Y has as
6 [3 P% H2 q2 b% many columns as TAB. Naturally, the column COL of Y contains* K4 a( g4 b, F8 q, B
% the value VAL. If VAL is not found in the table, Y=[]." b3 ^0 C# w0 |6 c8 s+ K
+ ]) D' y6 A' s5 {3 {9 W+ v# ] m
% D.C. Hanselman, University of Maine, Orono ME, 044696 m. K; E; A8 q( R. b3 e2 u: }
% 1/26/94% U, | _' @& @5 N+ o
% Copyright (c) 1996 by Prentice-Hall, Inc. ; o" d! D$ k5 ?' u/ Y, S) a' {
% {7 t& E5 g f/ r7 N3 {* p
[rt,ct]=size(tab);8 h" M) j$ Z# }* M# `0 |. V4 r6 Z
if length(val)>1, error('VAL must be a scalar.'), end
4 o* y" G2 b1 i2 cif col>ct|col<1, error('Chosen column outside table width.'), end" m! D% D, u. e6 @3 P( E% d
if rt<2, error('Table too small or not oriented in columns.'), end
# X# n* R* x: e; _4 {above=tab(:,col)>val;& m: X; w, T3 E6 K v! E% p
below=tab(:,col)<val;% m& M' u; r% [ a! c$ q
equal=tab(:,col)==val;
. u( C8 D7 X- }( C$ T: vif all(above==0)|all(below==0), % handle simplest case0 U: q _/ u8 ~5 C [2 d& V) Z
y=tab(find(equal), ;
5 i& C! Y* \: H% e8 | return& g$ [- G" F% C) W) j4 x/ ^8 C
end3 W, H' ~: O7 H2 z& {! w' s
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
& j6 h7 K# E$ h/ Vnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
' _! X/ y: }) v3 V+ l" P" b* \# p
ib=sort([pslope;nslope+1]); % put indices below in order
! h3 |& P* x. P% k: G5 A1 ]) Mia=sort([nslope;pslope+1]); % put indices above in order, G. t& e' t; W8 T
ie=find(equal); % indices where equal to val
8 O7 }& w6 i0 Q' ?) w2 }( i4 E" c0 Q! I# m# Y$ j: J
[tmp,ix]=sort([ib;ie]); % find where equals fit in result
: D& ?2 C" I- R/ s2 p# i3 Aieq=ix>length(ib); % True where equals values fit
9 k: E( @& I( K/ c- U; Mry=length(tmp); % # of rows in result y( S& ?1 O* G3 z
$ [+ ~* d: I, b( ~( J9 dy=zeros(ry,ct); % poke data into a zero matrix
- S8 a- A) f( x3 V
: L( h3 P; k1 E+ Q8 `; ~6 Oalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));9 r& Y0 v7 c1 C- H+ |8 d4 q0 V
alpha=alpha(:,ones(1,ct));
4 I) H( Y7 i: P; D; f) Xy(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values; s, M- N5 N9 Q) }* z. e
/ h' J5 `3 f( [y(ieq, =tab(ie, ; % equal values& t" e1 ^9 t1 T" T0 ^, H( [& r- N
y(:,col)=val*ones(ry,1); % remove roundoff error |
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