- 在线时间
- 36 小时
- 最后登录
- 2017-7-6
- 注册时间
- 2009-4-19
- 听众数
- 5
- 收听数
- 1
- 能力
- 0 分
- 体力
- 2412 点
- 威望
- 98 点
- 阅读权限
- 60
- 积分
- 1865
- 相册
- 0
- 日志
- 1
- 记录
- 1
- 帖子
- 316
- 主题
- 28
- 精华
- 0
- 分享
- 0
- 好友
- 24
TA的每日心情 | 开心 2014-9-21 08:29 |
|---|
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)
# Q2 z: B- f7 U/ L; e%MMINTERP 1-D Table Search by Linear Interpolation.2 U, t7 B2 W: ^. \
% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table
3 F g* x5 O" @4 Z& I1 M1 d, Z/ B% TAB searching for the scalar value VAL in the column COL.# V9 F6 m5 V" p( J( d/ D
% All crossings are found and TAB(:,COL) need not be monotonic.
# |8 p5 V. p# C, z8 f+ U5 f3 p: [3 N% Each crossing is returned as a separate row in Y and Y has as: d' @5 V( i9 ]% @8 y: r/ q! z
% many columns as TAB. Naturally, the column COL of Y contains" ` d0 c* ?+ ]' x
% the value VAL. If VAL is not found in the table, Y=[].- E7 d/ [2 U. t7 X/ R3 k
& j$ ]* F' e; l; ~) U: y J
% D.C. Hanselman, University of Maine, Orono ME, 04469
! o* b9 I; p% I% 1/26/94
' ]4 s& [" \ I L7 n( e% Copyright (c) 1996 by Prentice-Hall, Inc.
) C2 B/ S( g7 @ |& i2 [6 e2 b' f- |3 n% H, F$ ~+ G
[rt,ct]=size(tab);
+ [5 b' A9 s0 i( Uif length(val)>1, error('VAL must be a scalar.'), end
* q9 S- W6 @; y0 z; h' z. }if col>ct|col<1, error('Chosen column outside table width.'), end
+ G D! d7 w( B. I* W2 k3 O2 jif rt<2, error('Table too small or not oriented in columns.'), end
, I d$ M7 z- F# f% uabove=tab(:,col)>val;
0 ~2 r7 J* T2 R2 _) O! @' X: h$ Wbelow=tab(:,col)<val;
t. Y- ]+ C7 w& t0 r- Sequal=tab(:,col)==val;
) c, H+ [4 F' K( tif all(above==0)|all(below==0), % handle simplest case
$ P5 [2 z( h7 q/ o7 l3 r y=tab(find(equal), ;& i) o- z, r/ {% c
return( F, m( [) l4 L& Q& n0 o) J
end" d4 y, N! o' X- b! M# S
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
% {8 E9 |. w; e/ q: A% m, d7 H. |1 mnslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg0 D+ Z) m' Q6 h( a
' \5 ?# b, m+ i% ~1 Y4 S. Zib=sort([pslope;nslope+1]); % put indices below in order( Q/ m" P( a4 [
ia=sort([nslope;pslope+1]); % put indices above in order
1 O1 x. y& N. V/ D) q. nie=find(equal); % indices where equal to val5 g3 s, a; q( y- i/ G- c1 ]
0 J a! _; \$ S# J# F4 B: R[tmp,ix]=sort([ib;ie]); % find where equals fit in result9 a! i9 z% g3 \% B" c3 g/ _1 B( b
ieq=ix>length(ib); % True where equals values fit
/ H1 j1 t! J# X$ ] O. |. hry=length(tmp); % # of rows in result y; \9 S) l b* B; v0 ~
; f' y$ F8 ~2 T+ q3 Ty=zeros(ry,ct); % poke data into a zero matrix- @ I+ m- _8 H: Z" A
# m$ I6 U( s% [* F" k$ e
alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
, a( ]2 s; D' zalpha=alpha(:,ones(1,ct));1 T. D* E$ [: @
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values
2 m; Y! X3 g3 N8 B! |" H- Q2 J2 |! _% W; Q% h, K
y(ieq, =tab(ie, ; % equal values
- E- ^1 a# H7 H2 c! {5 ~y(:,col)=val*ones(ry,1); % remove roundoff error |
|