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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
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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)
8 d) D2 s2 n: o' c%MMINTERP 1-D Table Search by Linear Interpolation.
4 Q( b* d- i ] n/ s: f% Y=MMINTERP(TAB,COL,VAL) linearly interpolates the table! z9 m G1 }+ W- B/ ~9 [
% TAB searching for the scalar value VAL in the column COL.
& @9 M9 n) C- S) t1 j% All crossings are found and TAB(:,COL) need not be monotonic." N# d6 f7 h5 }3 p- U2 H
% Each crossing is returned as a separate row in Y and Y has as- g8 w4 o8 T) h
% many columns as TAB. Naturally, the column COL of Y contains& ~0 |0 i) H3 h$ q& o) |
% the value VAL. If VAL is not found in the table, Y=[].
- a0 Q; C# ~6 Y9 A" f1 E) |5 ?5 ~" d: k5 C W5 k
% D.C. Hanselman, University of Maine, Orono ME, 04469
# ?9 p& j7 \6 D: `0 H7 A% 1/26/94/ V$ n% c% i) d
% Copyright (c) 1996 by Prentice-Hall, Inc.
% t8 Y( Q r1 {" O6 y5 T4 u& b0 s, f( w& y$ |& D+ Z9 n
[rt,ct]=size(tab);
* K) P2 J0 v- y) L: zif length(val)>1, error('VAL must be a scalar.'), end, p3 F) y+ n) U
if col>ct|col<1, error('Chosen column outside table width.'), end& E2 O8 X7 ?+ [: o
if rt<2, error('Table too small or not oriented in columns.'), end
; M e0 B5 N7 M0 Jabove=tab(:,col)>val;
$ a7 \- v! q1 r5 w/ pbelow=tab(:,col)<val;
! _" k) z7 w, `equal=tab(:,col)==val;* x- u4 |) T# n
if all(above==0)|all(below==0), % handle simplest case
1 `/ r, e; g3 H. ]! ] y=tab(find(equal), ;; W7 H: \2 ]: u' |0 \& ^
return
, K8 D8 ~8 F8 \2 fend7 d. f/ Y4 T6 M" \, r" x
pslope=find(below(1:rt-1)&above(2:rt)); %indices where slope is pos
" H8 U4 ^( p- Y7 Y9 i$ q% inslope=find(below(2:rt)&above(1:rt-1)); %indices where slope is neg1 q5 p& N7 o; R# ^3 g+ l
+ E) C2 S0 K3 t2 E/ A7 t$ o: T( i
ib=sort([pslope;nslope+1]); % put indices below in order0 ~! P5 |6 a" d* A# C2 v
ia=sort([nslope;pslope+1]); % put indices above in order, H1 D8 b c6 S# v
ie=find(equal); % indices where equal to val
! M" z1 X2 e$ w% k$ Z( l: h0 h" f4 j3 V! k/ I
[tmp,ix]=sort([ib;ie]); % find where equals fit in result! V# [1 ~* }* A, w, w% f8 B
ieq=ix>length(ib); % True where equals values fit' g) \8 }5 A* k* R
ry=length(tmp); % # of rows in result y' o! y# ` I; |7 L! d+ R% J6 b& j
9 N* k5 l/ b( q# R. I7 V* V! i
y=zeros(ry,ct); % poke data into a zero matrix
: C: T$ \( _+ W) X L2 h8 c
2 j7 _, G8 I7 x- \; S/ I9 ^alpha=(val-tab(ib,col))./(tab(ia,col)-tab(ib,col));
9 }. |4 u. {% Jalpha=alpha(:,ones(1,ct)); `4 \. `! I3 b" v0 u' t; ?- |
y(~ieq, =alpha.*tab(ia, +(1-alpha).*tab(ib, ; % interpolated values, F7 p d( D1 N2 f* _
( N* E# h* ~1 J% B, C, o, i
y(ieq, =tab(ie, ; % equal values
4 T9 H5 W( m0 z8 J, I/ x2 S1 } ^y(:,col)=val*ones(ry,1); % remove roundoff error |
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