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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 }9 r5 D5 H* u. X%MMINTERP 1-D Table Search by Linear Interpolation." m3 g/ f: e5 f+ N0 s7 W6 J9 z) J) |9 a
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table/ @- n' T! j$ G5 K, i: q. B
% TAB searching for the scalar value VAL in the column COL.
$ z5 k; z5 E7 b2 y( n4 I% L% All crossings are found and TAB(:,COL) need not be monotonic.
6 L. X$ h* f/ |% Each crossing is returned as a separate row in Y and Y has as2 V: z0 e# e. f; ^: N
% many columns as TAB. Naturally, the column COL of Y contains
2 b& b% W: T, W: x6 O; S5 O4 K8 b% the value VAL. If VAL is not found in the table, Y=[].* u+ R2 [- H0 G
0 t' x) ]6 b, ?7 `% D.C. Hanselman, University of Maine, Orono ME, 04469/ y g# S/ {. ^9 {7 J
% 1/26/94/ B: {! D& `, G7 t1 I0 h# @
% Copyright (c) 1996 by Prentice-Hall, Inc. $ e9 B* D3 o2 F3 l/ H2 `
7 {0 {% W* t" J _/ V" @8 U! }7 s
[rt,ct]=size(tab);2 c2 d3 \8 ^; k" `% ^
if length(val)>1, error('VAL must be a scalar.'), end% y1 |8 y! R' C3 R, l/ {
if col>ct|col<1, error('Chosen column outside table width.'), end
! r. }& _' ]$ R$ mif rt<2, error('Table too small or not oriented in columns.'), end
/ s, J6 G% n: t. {6 z! oabove=tab(:,col)>val;
# W9 o$ M* L! w. s8 c r0 Hbelow=tab(:,col)<val;# k# J7 P* p( Q( ~; I
equal=tab(:,col)==val;
. U+ y, S( t: Z: ~- y/ b$ vif all(above==0)|all(below==0), % handle simplest case6 _) n0 p$ a8 B* |3 v7 u) m
y=tab(find(equal), ;
" O# `7 k' S. |# F& M" C+ J return
8 q. [# J; @6 q6 D1 y0 e. Zend
9 [ Y$ H( g+ q, ~* apslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
& R4 p& ^' I! E7 d" Qnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg
# s5 X$ _" H0 _; C! q4 U/ r, W8 [7 J# F# z0 ]8 ] p! J
ib=sort([pslope;nslope+1]); % put indices below in order% l* A' j! w* {0 K# \
ia=sort([nslope;pslope+1]); % put indices above in order% \! }, z, g1 J
ie=find(equal); % indices where equal to val' `* U, ~; g5 h% n7 j( r
; H, S" D1 ^; b[tmp,ix]=sort([ib;ie]); % find where equals fit in result# q1 g1 z' v5 I3 _
ieq=ix>length(ib); % True where equals values fit- p# }+ f2 O5 q
ry=length(tmp); % # of rows in result y
0 b& c7 g! L/ X- @' q( R* e% O. Q. X2 X+ O4 g4 G r7 o. R5 [+ b
y=zeros(ry,ct); % poke data into a zero matrix) b$ L7 \9 o: h# G
9 M' z3 {9 P+ e5 |6 Halpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));7 t# v. ~' Q( {7 z) ^6 V
alpha=alpha(:,ones(1,ct));+ M2 s4 h6 V& h
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
K) ?0 P; x& U. g
, _" n( Q/ G/ X+ }: r& m) my(ieq, =tab(ie, ; % equal values9 g0 S6 o+ I: M4 N, U" Q
y(:,col)=val*ones(ry,1); % remove roundoff error |
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