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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); n1 ~& A' ~7 ]' ]
%MMINTERP 1-D Table Search by Linear Interpolation.' ^2 o8 S* H- Z+ d% z; q7 l* Q% O
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
0 k d { {; ^$ x6 R9 b, q% TAB searching for the scalar value VAL in the column COL.2 v* h8 J6 C5 Z' [2 d0 {. R' `
% All crossings are found and TAB(:,COL) need not be monotonic.4 b4 m0 }/ A a5 r
% Each crossing is returned as a separate row in Y and Y has as
) p6 @. x+ } u* m8 e/ h% many columns as TAB. Naturally, the column COL of Y contains) b9 L; H+ s4 W! C! K/ u
% the value VAL. If VAL is not found in the table, Y=[].5 a1 w- T4 |' ]# C7 j1 j
" b6 v7 Q7 l; x" G
% D.C. Hanselman, University of Maine, Orono ME, 04469) U0 k6 R1 ?, ~0 t! T- W
% 1/26/94
# J4 t N6 N2 A% Copyright (c) 1996 by Prentice-Hall, Inc.
3 D/ ]/ ?( b' Y( r
~$ `( A# U1 Q: O[rt,ct]=size(tab);
4 O0 L" W' |7 d7 Z- Q4 mif length(val)>1, error('VAL must be a scalar.'), end
; b+ l9 {, Q- g/ \) u; b! Y: u' Sif col>ct|col<1, error('Chosen column outside table width.'), end
: R1 F$ B" g6 E, m! F% k; s' zif rt<2, error('Table too small or not oriented in columns.'), end4 e6 q7 N2 K' w |% K* K4 q
above=tab(:,col)>val;
D" ?+ M: S' b7 fbelow=tab(:,col)<val;3 ^+ E/ v# A1 `( g" Z
equal=tab(:,col)==val;
) ]: q- `2 z( i, B: Eif all(above==0)|all(below==0), % handle simplest case+ ]( X$ n2 \$ W4 c y8 v$ K6 o% w5 w
y=tab(find(equal), ;8 h# R) G; Q# B" L( `# A) K
return
# O% T2 [; m3 ^; n I: send
8 M0 R6 D- m/ K1 }( [! s+ R( c( zpslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
- c& v6 h8 s6 t: f% F# t8 Pnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg! l' ~4 x( B) B$ r+ D, m/ s
2 k3 X7 }" ]' C' u/ T, ?8 Y7 g0 zib=sort([pslope;nslope+1]); % put indices below in order. Q' i, j6 D: l# B |4 n# c
ia=sort([nslope;pslope+1]); % put indices above in order+ o6 L7 H# q0 s0 n
ie=find(equal); % indices where equal to val+ K8 A; U; }( q' R2 ^* y
$ z( g) l' `6 K3 U; ~1 S. t[tmp,ix]=sort([ib;ie]); % find where equals fit in result
, Z, i: D0 @6 M1 t5 U! V- ~ieq=ix>length(ib); % True where equals values fit
/ O0 k* K( J9 k- ^5 I0 h2 }* ?7 {ry=length(tmp); % # of rows in result y
8 W9 ?7 t2 X7 ^0 F. p, P" O ?
- d8 a! l6 G) V; }0 g6 my=zeros(ry,ct); % poke data into a zero matrix
( O0 w' P! g8 b! s' ~2 }8 V
/ Z8 B4 c& b# N+ v* Palpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
7 e* }) v/ }6 L/ W1 K" xalpha=alpha(:,ones(1,ct));
: S$ Y0 q$ m# P* I6 \8 ty(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
$ G) o! h1 F! X/ e2 O- G6 H) c9 W1 J1 w
. U) p) D- e* l( }& X, r" M, M$ gy(ieq, =tab(ie, ; % equal values
+ B" u) m6 I% U5 I z8 y- F/ Py(:,col)=val*ones(ry,1); % remove roundoff error |
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