数值计算,例如微积分、微分方程求解等存在大量的函数调用,故高效的函数调用对数值计算软件来讲是至关重要的。 # e) k+ x' q( u' F @6 E ' Y# }! N' z* I5 ~0 R============ 5 X! U- h, z! S8 J! x: c1 B 9 ~- U. t3 h. GMatlab 2009a的测试代码:
f=@(x,y,z,t)x+y+z; 8 f( Z+ D! N5 K! L7 z. ~
tic;4 B\" l; @9 T% [5 C$ r. ` J
s=0;3 t/ |; D! Z2 Z6 C, B- z2 ^6 G
for x=0:1000$ p/ |3 ^! L7 g
for y=0:100- l% I8 P1 j+ I$ r\" K. D
for z=0:100 S0 ~* u' q) ?
s=s+f(x,y,z);3 a; J$ Z P ]9 r+ R: L
end& R1 c& F- B9 k( U0 a3 Y2 f; u' B: t( y
end! E5 m1 w4 ?, `7 H\" Y: h
end4 |6 s/ p& G0 p9 w! s
s+ K# l. N5 K2 e( p8 o
toc # h Y; D N6 `- ]
# s s( w8 ]7 e
s =\" q0 ?$ [\" v4 r8 a: `0 c
6.126720600000000e+009 0 r1 |2 [; k. B$ e& N/ K
: v/ E% [. E( {\" s/ K( I3 i
Elapsed time is 9.546717 seconds.
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发现将函数写成m文件后效率会提高,如下例: & T4 I) |1 l1 R! ~m函数:
%file xyz.m\" d# J5 a6 }; [% ]) J
function c=xyz(x,y,z) & o\" v; s! e7 @. p* D
c=x+y+z;! y) C3 C; t5 S3 `4 M D0 K* y* k
end
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测试代码:
tic; x- A1 ?% D. M% I; T- j
s=0; - F- P/ z) r* ^+ k# K0 p
for x=0:1000\" b& O6 c, }! s. f! _\" L6 m: v
for y=0:1009 B6 l# r) k* d0 C' {: E A
for z=0:1000 g- I M# r7 G, z W2 B, w6 d
s=s+xyz(x,y,z); 8 W; J8 h, z' O- f( W3 j4 K
end6 ?# j: A5 Y\" j% x2 J1 m1 ^2 ]5 ~
end % @\" C. l m+ A' J- Q) K* N' H2 D; B
end - Q) U8 }$ B) p\" s6 O
s N# A* R7 i/ u\" J; }4 S
toc9 S y* W) @3 e
( p) M; B7 q% B5 C
s =. d5 C: q, o\" y4 y( a# T* j2 ^7 L
6.126720600000000e+009 # F& W+ q5 ?0 G, G
. _! W4 A. T7 n\" B6 ~
Elapsed time is 4.724592 seconds.
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Forcal 9(OpenFC演示)代码: