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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)2 c# J `2 V4 M, H8 [
%MMINTERP 1-D Table Search by Linear Interpolation.( _6 A7 w% g! D5 G) ]
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table4 ]& G8 W" _5 ?9 b$ L
% TAB searching for the scalar value VAL in the column COL.# [. K8 u% R3 v) j* y$ Z
% All crossings are found and TAB(:,COL) need not be monotonic.
( U1 u. a+ p% K3 O. m1 ^; `% Each crossing is returned as a separate row in Y and Y has as
; O L A% |5 p8 w h% many columns as TAB. Naturally, the column COL of Y contains8 Q# [ o; b j1 P0 L/ h4 V- J
% the value VAL. If VAL is not found in the table, Y=[].
: _4 Z2 ~, `5 S, ?0 j m2 z9 a! s$ m& M P/ K3 P" O0 I
% D.C. Hanselman, University of Maine, Orono ME, 04469& k P' _- _: D, g! x0 R% \5 ~* O) k( U
% 1/26/94
1 l b- C5 j# }* \9 Q% Copyright (c) 1996 by Prentice-Hall, Inc. - Z0 H, O9 t; x# X- M
$ Y8 ~+ T, ?0 N' U) o! u' r
[rt,ct]=size(tab);! C! r; J V" `; \
if length(val)>1, error('VAL must be a scalar.'), end
3 g3 w4 n! c J3 D, M1 z9 aif col>ct|col<1, error('Chosen column outside table width.'), end
+ k5 L1 s0 ^& r& ?( \7 Eif rt<2, error('Table too small or not oriented in columns.'), end' E1 m5 T/ D. P: y- h! r( |, z% Z; J
above=tab(:,col)>val;
# e) n, |0 L+ T% R" y: a& x/ Vbelow=tab(:,col)<val;
: f+ d& j7 ]: s, Bequal=tab(:,col)==val;
/ v: T3 ]! I$ a k* }2 vif all(above==0)|all(below==0), % handle simplest case
, J' W2 b& c% J y=tab(find(equal), ;
% a& k* ]. V, i' L2 U8 | return
2 _9 Q; _ ^8 s% T6 r" Pend, s1 B8 w' l u% Z( W0 \6 A, f3 K1 H& r
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
2 t5 I# X0 i. f5 ]: wnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg/ c- h! r2 h. Z
" j' P- d8 e: S6 j! b* Q0 {- c6 R
ib=sort([pslope;nslope+1]); % put indices below in order: @% a0 C* d @1 g' L, c
ia=sort([nslope;pslope+1]); % put indices above in order1 M3 {0 i& S! ?. I0 {
ie=find(equal); % indices where equal to val, d* _2 g8 ~& k9 f$ k* l4 m
) Q* ~% l/ Q$ C* n* p; p! e[tmp,ix]=sort([ib;ie]); % find where equals fit in result% i& l& l' Y6 i- i' o8 m
ieq=ix>length(ib); % True where equals values fit; U% j; }2 x$ N6 i8 J0 y3 _ P" i
ry=length(tmp); % # of rows in result y, U0 Z) ]3 w$ u
: Z& q' c/ i2 k# Y4 ^: A
y=zeros(ry,ct); % poke data into a zero matrix8 A( d" o0 ^% [& n, f+ U) T
) E6 K" C/ C! P4 Nalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
0 ]9 ?0 j {6 H9 O5 xalpha=alpha(:,ones(1,ct));
# n1 w" H* ?8 V6 X2 ~7 fy(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
* l9 u5 m% V, @0 p9 b$ n0 T
" v/ @) h2 O3 [2 U7 f) Wy(ieq, =tab(ie, ; % equal values# V$ ]( ~3 b H# a
y(:,col)=val*ones(ry,1); % remove roundoff error |
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