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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)0 [+ N$ w! L( P6 D' W- x# a$ ]1 D
%MMINTERP 1-D Table Search by Linear Interpolation.) N9 g9 A. c: r# R
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
2 [/ L& {3 u/ V8 R% TAB searching for the scalar value VAL in the column COL.
6 |" u. x7 _% r* d \% ?% All crossings are found and TAB(:,COL) need not be monotonic.+ z/ y! g! E/ W% j! i- L. {0 q
% Each crossing is returned as a separate row in Y and Y has as
2 F; Y& h1 M! n$ c* J3 T/ {9 x% many columns as TAB. Naturally, the column COL of Y contains
. a+ e' D0 L2 l7 ?& ^ a( I+ ]% the value VAL. If VAL is not found in the table, Y=[].
' p5 f8 }. W2 }3 A$ T' d9 o' [: ?8 p) }6 n
% D.C. Hanselman, University of Maine, Orono ME, 044696 s0 w7 f9 O c+ C7 w
% 1/26/94
- M) H* W" v! T0 B+ i% Copyright (c) 1996 by Prentice-Hall, Inc.
, e; o% x( {7 u8 x- Z' C, z* Z8 A. L4 F6 s3 C7 a6 q$ f: z
[rt,ct]=size(tab);7 ~2 N {& v- S& G& n
if length(val)>1, error('VAL must be a scalar.'), end
" v' i2 C1 p$ K' S8 M" `if col>ct|col<1, error('Chosen column outside table width.'), end1 z& @) N8 i, W
if rt<2, error('Table too small or not oriented in columns.'), end
$ N- G% G) P, O1 c& K; Rabove=tab(:,col)>val;
& c: N& F* _" N& Cbelow=tab(:,col)<val;" I: k$ z1 ~4 q# C" M
equal=tab(:,col)==val;" e! h; U. `, d: d) ]
if all(above==0)|all(below==0), % handle simplest case' J! F2 P# m: F$ N' h
y=tab(find(equal), ;
6 H! \0 _/ _7 N( `! _; Z return; o2 u- F, ^ @& H. t& x
end, a* H$ e& {* C
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos/ \- O* Z7 d4 \) U/ l
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg! Q6 V0 o: R" t
2 t- L' z+ S, Y8 e. T1 a8 J& Sib=sort([pslope;nslope+1]); % put indices below in order5 M4 i& H( I4 {4 \2 ~. Y, l- m2 U
ia=sort([nslope;pslope+1]); % put indices above in order
, T) A% ]& ^% m$ f1 nie=find(equal); % indices where equal to val
& Z4 \4 U* M3 P; J" g8 v& {2 H7 x4 @) P8 g8 N8 S" ~
[tmp,ix]=sort([ib;ie]); % find where equals fit in result' ?4 F9 H+ c: d8 o0 {$ g1 C) `. M
ieq=ix>length(ib); % True where equals values fit8 \9 v+ d! y7 J5 s |7 N/ V
ry=length(tmp); % # of rows in result y
+ k: ? L8 U; i5 f/ @* R7 x* }- a
6 ^" I( e" `" ?# |: @1 Vy=zeros(ry,ct); % poke data into a zero matrix
& b9 I7 l# p- z7 z# l7 E/ B5 x; L6 t$ B4 [4 K6 t; C S# s; O+ L% n1 n3 R
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col)); N% B9 u( \5 C. r! B
alpha=alpha(:,ones(1,ct));
0 A) c# I- \! v! A/ `y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values+ F, O, }" K5 ^
+ r+ x, w; P) a+ z3 s5 Y' d; P
y(ieq, =tab(ie, ; % equal values1 D0 o' x) W4 b4 R
y(:,col)=val*ones(ry,1); % remove roundoff error |
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