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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)( L- t3 A Q2 `% }. M
%MMINTERP 1-D Table Search by Linear Interpolation.
& W: n7 L0 H1 {* N- C" \% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
. h" e9 f6 j3 R. c8 y4 H; Q& Y/ {% TAB searching for the scalar value VAL in the column COL.
4 Y2 {0 y8 i. e( C- d3 S E/ E% All crossings are found and TAB(:,COL) need not be monotonic.
% x% O- A) M; O% Each crossing is returned as a separate row in Y and Y has as) q) J% Y" t$ G/ T& f, x
% many columns as TAB. Naturally, the column COL of Y contains
8 ~; M/ K" e8 F- {, l: ^% the value VAL. If VAL is not found in the table, Y=[].. V6 n4 d( a3 N4 s
0 \) T7 E0 J8 l0 X. J: L* H% D.C. Hanselman, University of Maine, Orono ME, 04469
1 r5 n: A; W# k! \. l p( e% 1/26/94# J! q0 p0 K R/ G
% Copyright (c) 1996 by Prentice-Hall, Inc.
- I( L- s' T/ Y) R: _
/ W7 n `) X& z8 X" K[rt,ct]=size(tab);- D- n* X9 n9 M" g* }+ R7 [
if length(val)>1, error('VAL must be a scalar.'), end
& y& p p9 s! C; d2 c3 I+ rif col>ct|col<1, error('Chosen column outside table width.'), end
- X/ x1 X) F7 Q% pif rt<2, error('Table too small or not oriented in columns.'), end
% I. n B+ }. e/ t1 Wabove=tab(:,col)>val;
& B9 y8 N, S: B2 t3 A4 {* q. Ibelow=tab(:,col)<val;
: o4 A- Q8 @' U* u# ?: o0 a9 Uequal=tab(:,col)==val;
& A& ] D9 m2 ~0 B& wif all(above==0)|all(below==0), % handle simplest case X' l& Y( G' t @$ w
y=tab(find(equal), ;
% i/ [4 T0 K. o return
* B: e5 ^4 z7 W3 N3 q6 D( pend
. K& V8 e6 {( q. w3 P5 E" `( ~pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos9 I6 H* l' \/ ]" b3 F6 K% {% S
nslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg! ]$ ]8 t- y7 t) W8 L
; d' y8 V; A( Fib=sort([pslope;nslope+1]); % put indices below in order$ _0 [' e; a, h6 S8 ?+ o
ia=sort([nslope;pslope+1]); % put indices above in order) h+ u8 C+ m6 n o& M4 j% w1 @( ^/ @
ie=find(equal); % indices where equal to val
- K1 a2 s$ w1 g$ F0 C7 P7 i* k: m. p. n' b9 l3 b+ b( G* b
[tmp,ix]=sort([ib;ie]); % find where equals fit in result0 q. J1 z5 b+ `8 V
ieq=ix>length(ib); % True where equals values fit
o8 ]/ R& {- y, jry=length(tmp); % # of rows in result y
5 x# s _- a. j; f5 }
& e y& V8 X; l* Y8 C5 A/ [6 Xy=zeros(ry,ct); % poke data into a zero matrix8 Z5 }0 V* I6 x' ]+ ~/ b, ]. r
0 O9 h$ [. ?; ?: X R$ Z* k
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
7 c- }- @1 J( f8 B: b& k9 [3 `+ X jalpha=alpha(:,ones(1,ct));
, {& g, T4 c$ T9 u/ P* S& h3 E/ _6 i @y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values5 }0 y' @+ X, ]
' J5 F8 s6 |& ^3 ?
y(ieq, =tab(ie, ; % equal values
4 y, N3 h9 Q9 R7 b+ q" }+ x8 ay(:,col)=val*ones(ry,1); % remove roundoff error |
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