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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)& C" B) P/ b. {
%MMINTERP 1-D Table Search by Linear Interpolation.3 g5 ~7 x" [1 J% k% \
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
# y; O: s8 {2 q/ h% TAB searching for the scalar value VAL in the column COL.
1 ]0 O0 o: ~9 l @0 C9 l- I% All crossings are found and TAB(:,COL) need not be monotonic.
6 ^6 O3 p% A. H. @# g; l% Each crossing is returned as a separate row in Y and Y has as
5 U1 v7 b' s/ V" [7 r% many columns as TAB. Naturally, the column COL of Y contains7 L1 @ j% v. C
% the value VAL. If VAL is not found in the table, Y=[].
. ^# ^1 o, l6 b9 {) g1 y% c4 S- {# Y% k+ `# h4 x/ b
% D.C. Hanselman, University of Maine, Orono ME, 04469
, ]( y9 O. W0 `& o" D% 1/26/94
9 _0 A9 {0 ]! j6 e3 s% Copyright (c) 1996 by Prentice-Hall, Inc.
% ]8 f8 g/ K2 i' b2 W) @: i, q% k4 I( y6 }; D
[rt,ct]=size(tab);, W; x. `8 k2 ^: _
if length(val)>1, error('VAL must be a scalar.'), end
, G$ Z4 ^7 [+ A3 Y% pif col>ct|col<1, error('Chosen column outside table width.'), end
, F7 @4 m8 d7 a7 N. o3 yif rt<2, error('Table too small or not oriented in columns.'), end$ M e* y* G" T! @. Q) ` r2 k8 |
above=tab(:,col)>val;
2 a: R1 t$ B5 \8 X- |( ^below=tab(:,col)<val;4 }' y1 I& [9 j0 t P
equal=tab(:,col)==val; L8 a; y& f$ E8 U
if all(above==0)|all(below==0), % handle simplest case# o) O8 |+ g: M
y=tab(find(equal), ;3 c& {+ C8 a; [0 P, m, A9 G
return
2 ^; S! H, v: H1 s, n H4 n+ |end
0 P8 A- x8 j" D8 Y3 h V4 }pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
9 |8 G* v! G0 b$ ?2 U3 G9 X) Cnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg3 C# O+ ~$ n, |1 i4 ]* C6 E. C# k
0 y2 G+ ~6 k }0 {8 L! {5 a8 R
ib=sort([pslope;nslope+1]); % put indices below in order' s0 }/ H. C7 a7 q z* N, x. k
ia=sort([nslope;pslope+1]); % put indices above in order
( L- U# ^, N3 C9 Die=find(equal); % indices where equal to val# J3 u, @- P% l# |: {4 V
H& a& ]) j. F; h
[tmp,ix]=sort([ib;ie]); % find where equals fit in result
, z/ o6 D( G# h% c. l- tieq=ix>length(ib); % True where equals values fit# G. A% N$ u' P9 i3 j+ k
ry=length(tmp); % # of rows in result y4 u5 J9 Y% k( b5 C3 S
" g7 R2 C4 o( e7 r! g/ Vy=zeros(ry,ct); % poke data into a zero matrix
( m8 o/ G- X- [
0 ]7 c3 [: ~/ d+ E; m4 nalpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));( w6 F: s. Q) S) u8 {
alpha=alpha(:,ones(1,ct));
4 m' S: T7 H0 |! {7 `7 S4 Oy(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
8 _, z9 [1 K* b/ k2 `1 a( l5 V4 `' m
y(ieq, =tab(ie, ; % equal values' v# O, Q. O; C) X) [3 X0 x/ ^& W
y(:,col)=val*ones(ry,1); % remove roundoff error |
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