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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)# J7 _: [8 A( k5 |
%MMINTERP 1-D Table Search by Linear Interpolation.( P+ m, _1 n* k& @6 P! D: \' ]
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table8 [, l! @* H* J+ P' }
% TAB searching for the scalar value VAL in the column COL.
- R& S' p: c& w1 [! D" C% All crossings are found and TAB(:,COL) need not be monotonic.
( [7 Q- Z* v5 n$ K d% Each crossing is returned as a separate row in Y and Y has as, Z2 s/ C! P4 Q+ {
% many columns as TAB. Naturally, the column COL of Y contains, @( e/ J* k/ I5 }$ d8 j
% the value VAL. If VAL is not found in the table, Y=[].
$ L3 P; p) p/ p$ m* _" d9 b3 b) F8 L7 f- \7 e
% D.C. Hanselman, University of Maine, Orono ME, 04469. b/ A6 M: B9 T3 k5 T% M; g$ Q' w
% 1/26/94) [* Z. p+ _$ q, w' ]+ x
% Copyright (c) 1996 by Prentice-Hall, Inc.
/ ^3 G4 w. A! T7 e0 {
! A3 } s* D/ n: L M( W[rt,ct]=size(tab);% i, K& {% Z$ Y+ Q4 _
if length(val)>1, error('VAL must be a scalar.'), end! `4 r4 p, q* S
if col>ct|col<1, error('Chosen column outside table width.'), end
- W9 z; H, Z, M6 S' o# Qif rt<2, error('Table too small or not oriented in columns.'), end" d; p6 j9 {1 G/ R7 [
above=tab(:,col)>val;
+ _" z e* R% O2 ?0 g, dbelow=tab(:,col)<val;9 G, }; e! J* ]6 @
equal=tab(:,col)==val;
, `1 ~2 V: z/ e. Z ^! f! Cif all(above==0)|all(below==0), % handle simplest case% c, d, Z) \3 p$ F2 E
y=tab(find(equal), ;
. B& ]6 Y0 D, D) ?" c6 j6 Q- y4 E9 R return j6 q( B. {( j- U
end
+ _+ D8 Q/ A" `; mpslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos3 n3 b- a* y/ A! `3 N5 n5 v
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg8 s5 k& [6 P: q2 G; V% A
\) m2 n# J# S. h! C u5 R5 M/ K
ib=sort([pslope;nslope+1]); % put indices below in order
8 B6 y: o4 ]1 Q0 Y, uia=sort([nslope;pslope+1]); % put indices above in order
9 A7 t P5 T7 H0 v/ \# rie=find(equal); % indices where equal to val
; @4 @% |4 t9 q. F
4 l* h8 n0 K" I- l* F- z/ k[tmp,ix]=sort([ib;ie]); % find where equals fit in result
7 e; w3 m, D9 y. T7 f0 yieq=ix>length(ib); % True where equals values fit
& }( [+ b5 M4 j6 U( t4 [ry=length(tmp); % # of rows in result y/ ], [: H/ u4 |0 P1 e( ~! x
+ o: w. e& } U) o) D
y=zeros(ry,ct); % poke data into a zero matrix
2 d9 ]% Y& a7 v" q/ r% B5 s
; K0 s/ {" l: M! u# ?' Lalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
* L7 M$ R, A4 Z& S3 ealpha=alpha(:,ones(1,ct));
) d2 `- p: Z, P+ o& Jy(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
/ Z8 q: }$ R0 O- [: C8 k
5 b: j2 i5 r, }4 t( Sy(ieq, =tab(ie, ; % equal values
. \8 K9 p' `- l b) a: m5 v Qy(:,col)=val*ones(ry,1); % remove roundoff error |
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