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一个无聊男人的疯狂《数据结构与算法分析-C++描述》学习笔记
用C++/lua/python/bash的四重实现(6)高效率的幂运算
write by 九天雁翎(JTianLing) --
blog.csdn.net/vagrxie
<<Data Structures and Algorithm Analysis in C++>>
--《数据结构与算法分析c++描述》 Mark Allen Weiss著 人民邮电大学出版 中文版第46面,图2-11
一个高效率的幂运算,应该还算不上最高效率的,但是作为一个递归及O(logn)的例子还是很合适的,因为足够的简单。
bash的实现我发现老是用普通程序语言的思想是不行了,麻烦的要死,于是用命令替换实现了一个b版本,明显效果好的多:)用一个语言就是要用一个语言的特性。
来个截图,惯例。我好像喜欢上了这种一下排4,5个窗口然后照相的方式,呵呵,特有成就感。
从左自右依次是cpp,lua,python,bash,bash(b实现)。
write by 九天雁翎(JTianLing)
-- blog.csdn.net/vagrxie
以下为实现部分:
CPP:
1
#include
<stdio.h>
2 #include
<stdlib.h>
3 #include
<math.h>
4
5 boolIsEven(intx)
6 {
7 return(x % 2==
0);
8 }
9
10
11 longMyPow(longx, intn)
12 {
13 if( 0==
n)
14 return1;
15 if( IsEven(n))
16 returnMyPow( x * x, n / 2);
17 else
18 returnMyPow( x * x, n / 2) * x;
19 }
20
21 intmain(intargc, char*
argv[])
22 {
23 printf("pow(2,2)=%ld/n",MyPow(2,2));
24 printf("pow(2,3)=%ld/n",MyPow(2,3));
25 printf("pow(2,4)=%ld/n",MyPow(2,4));
26 printf("pow(2,5)=%ld/n",MyPow(2,5));
27 printf("pow(2,6)=%ld/n",MyPow(2,6));
28
29 exit(0);
30 }
31
LUA:
1
#!/usr/bin/env
lua
2
3
4 functionisEven(n)
5 returnn % 2==
0
6 end
7
8 functionpow(m,
n)
9 ifn == 0then
10 return1
11 end
12
13 ifisEven(n) then
14 returnpow( m * m, n / 2)
15 else
16 returnpow( m * m, math.floor(n / 2)
) * m
17 end
18 end
19
20
21 -- Test Code
22 print("pow(2,2)=".. pow(2,2));
23 print("pow(2,3)=".. pow(2,3));
24 print("pow(2,4)=".. pow(2,4));
25 print("pow(2,5)=".. pow(2,5));
26 print("pow(2,6)=".. pow(2,6));
27
28
PYTHON:
1
#!/usr/bin/env
python
2
3 defIsEven(n):
4 returnn % 2 == 0
5
6 defMyPow(m,n):
7 ifn == 0:
8 return1
9
10 ifIsEven(n):
11 returnMyPow(m * m, n / 2)
12 else:
13 returnMyPow(m * m, n // 2) * m
14
15
16 deftest():
17 print"pow(2,2)="+
str(MyPow(2,2))
18 print"pow(2,3)="+
str(MyPow(2,3))
19 print"pow(2,4)="+
str(MyPow(2,4))
20 print"pow(2,5)="+
str(MyPow(2,5))
21 print"pow(2,6)="+
str(MyPow(2,6))
22
23 if__name__ == '__main__':
24 test()
25
BASH:
1
#!/usr/bin/env
bash
2
3 isEven()
4 {
5 localm=$1
6 if((m
% 2==0))
7 then
8 return1
9 else
10 return0
11 fi
12 }
13
14 pow()
15 {
16 localm=$1
17 localn=$2
18
19 if((n
==0))
20 then
21 return1
22 fi
23
24 localm2
25 localn2
26 ((m2 =m
* m ))
27 ((n2 =n
/ 2))
28
29 isEven n
30 r=$?
31 if((r
==1))
32 then
33 pow
$m2$n2
34 return$?
35 else
36 pow
$m2$n2
37 localr2=$?
38 ((r2 *=m))
39 return$r2
40 fi
41 }
42
43 echo-n
"pow(2,2)="
44 pow 22
45 echo$?
46 echo-n
"pow(2,3)="
47 pow 23
48 echo$?
49 echo-n
"pow(2,4)="
50 pow 24
51 echo$?
52 echo-n
"pow(2,5)="
53 pow 25
54 echo$?
55 echo-n
"pow(2,6)="
56 pow 26
57 echo$?
BASH(b实现):
1 #!/usr/bin/env bash
2
3 isEven()
4 {
5 localm=$1
6 if((m
% 2==0))
7 then
8 echo1
9 else
10 echo0
11 fi
12 }
13
14 pow()
15 {
16 localm=$1
17 localn=$2
18
19 if((n
==0))
20 then
21 echo1
22 exit0
23 fi
24
25 localm2
26 localn2
27 ((m2 =m
* m ))
28 ((n2 =n
/ 2))
29
30 r=`isEven $n`
31 if((r
==1))
32 then
33 localr1=`pow $m2$n2`
34 echo$r1
35 else
36 localr2=`pow $m2$n2`
37 ((r2 *=m))
38 echo$r2
39 fi
40 }
41
42 echo-n
"pow
2 2 = "
43 pow 22
44 echo-n
"pow
2 3 = "
45 pow 23
46 echo-n
"pow
2 4 = "
47 pow 24
48 echo-n
"pow
2 5 = "
49 pow 25
50 echo-n
"pow
2 6 = "
51 pow 26
write by 九天雁翎(JTianLing) -- blog.csdn.net/vagrxie
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