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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)
; w, Y# \$ \9 B* Y1 \) @# I. k- d3 b%MMINTERP 1-D Table Search by Linear Interpolation.
8 R" b! T h; S9 }& q% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table. }! `+ }) a/ \2 i ?
% TAB searching for the scalar value VAL in the column COL.) v* C$ b; V3 h. G3 w" ]
% All crossings are found and TAB(:,COL) need not be monotonic.7 P8 @' P" F+ m7 B
% Each crossing is returned as a separate row in Y and Y has as
; j( K. r6 {! N) c5 p5 J6 d( K' T n% many columns as TAB. Naturally, the column COL of Y contains
! Z$ M" X+ e0 v% the value VAL. If VAL is not found in the table, Y=[].6 V; y/ [7 ^, \5 \7 B- s* C) Q
# B" P/ R3 ?+ Z7 N7 `; ~! L* ^% D.C. Hanselman, University of Maine, Orono ME, 04469: Z$ A) W0 ?( N3 \+ ]1 o( y
% 1/26/94
: [3 h' g4 Q) N) x& T5 A8 l! c% Copyright (c) 1996 by Prentice-Hall, Inc. 7 B- d* L( s1 C% O
5 X# z3 ~' @1 G6 [: ^: V' F[rt,ct]=size(tab);/ u/ e& w% z' a0 ^# T# ]+ m1 H
if length(val)>1, error('VAL must be a scalar.'), end, ?) H/ S. d1 \0 |+ k1 K: Z
if col>ct|col<1, error('Chosen column outside table width.'), end/ W$ }* K4 c9 E$ _5 u
if rt<2, error('Table too small or not oriented in columns.'), end; ~! }% F+ F8 q' X! {: E4 _
above=tab(:,col)>val;
5 J8 F9 `' i5 f& |1 ~$ obelow=tab(:,col)<val;2 Q! F; ]# i* R9 b; k( `
equal=tab(:,col)==val;( ?( D7 d& J4 c/ W F
if all(above==0)|all(below==0), % handle simplest case
$ ~$ _) T0 q3 U o+ Q y=tab(find(equal), ;
( ]1 u$ q) y1 C/ i return
, |$ B8 I* _4 I5 {/ ?% p$ I7 [end. u9 u6 Q6 U$ ^) b; f) x
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos# Z7 k; T2 _2 {" d; }
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg, _" ~8 J3 j% ^3 {
+ P7 O& u- q- K0 {( \6 {, J
ib=sort([pslope;nslope+1]); % put indices below in order
( @# q: O' X9 Z2 {; ?" `( v4 xia=sort([nslope;pslope+1]); % put indices above in order
9 I6 E: U8 \9 C' ^ie=find(equal); % indices where equal to val$ p: G5 X( a" d) c
! i+ G$ r9 w M* Q; o. p+ E
[tmp,ix]=sort([ib;ie]); % find where equals fit in result# G" M, g. O2 s+ a
ieq=ix>length(ib); % True where equals values fit9 m* |) ?/ ~( V. G5 y; o8 W
ry=length(tmp); % # of rows in result y
: c2 q* z! ^- \1 g9 n- S
/ B) C3 }" R& D) X) l- `3 ]; T+ J1 my=zeros(ry,ct); % poke data into a zero matrix
~! F: J/ p U! N8 v: u& \2 @, m* u7 Q d
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));& W" x: S+ z, M4 H& b0 r" L
alpha=alpha(:,ones(1,ct));
( J j0 t( H+ F0 |# b7 D% Ey(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values d: r% `% m! ]9 `
- `) s. r: F6 E: r4 z) N% ey(ieq, =tab(ie, ; % equal values
( H1 X% t) u0 [, o8 V4 V/ _& d ^y(:,col)=val*ones(ry,1); % remove roundoff error |
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