帮我寻找回信心,300分(300分)

  • 主题发起人 主题发起人 hongfei
  • 开始时间 开始时间
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hongfei

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[:(]
一位小弟弟说他想背“π”小数点后500位的数字,问我这位数学系的学生怎么求得“π”。
怎么求啊?朋友们!难看我当时要多难看有多。
没办法,我一边查资料,一边向朋友们求救。
给我方法也好,给我算法也好,朋友们让我找回信心!!!
多谢了!
 
22÷7 =π
 
在网上找找
http://www.jason314.com/
 
给分先!!!记得定义字符型的数组,不要用浮点的来算,会爆炸的
 
圆周率小数点后1000位:
1415926535 8979323846 2643383279 5028841971 6939937510
5820974944 5923078164 0628620899 8628034825 3421170679
8214808651 3282306647 0938446095 5058223172 5359408128
4811174502 8410270193 8521105559 6446229489 5493038196
4428810975 6659334461 2847564823 3786783165 2712019091
4564856692 3460348610 4543266482 1339360726 0249141273
7245870066 0631558817 4881520920 9628292540 9171536436
7892590360 0113305305 4882046652 1384146951 9415116094
3305727036 5759591953 0921861173 8193261179 3105118548
0744623799 6274956735 1885752724 8912279381 8301194912
9833673362 4406566430 8602139494 6395224737 1907021798
6094370277 0539217176 2931767523 8467481846 7669405132
0005681271 4526356082 7785771342 7577896091 7363717872
1468440901 2249534301 4654958537 1050792279 6892589235
4201995611 2129021960 8640344181 5981362977 4771309960
5187072113 4999999837 2978049951 0597317328 1609631859
5024459455 3469083026 4252230825 3344685035 2619311881
7101000313 7838752886 5875332083 8142061717 7669147303
5982534904 2875546873 1159562863 8823537875 9375195778
1857780532 1712268066 1300192787 6611195909 2164201989
 
to 完颜康
大哥不是那样,听说有人曾建模求“π”
 
to snjat
You are so cool!!!
我以为你准备了50分。不是用工具软件算得吧?
有算法吗?
 
我给你网站了
 
to snjat
You are so cool!!!
我对你的感激之心又如滔滔长江之水连绵不绝!!!
大家一起分享:
用Machin公式计算圆周率的源程序
 
/* Program to compute PI, by Jason Chen, May 1999
**
** Open VC++ IDE, new a win32 console application project,
** add this file to the project and build it.
**
** Homepage : http://www.jason314.com
** Email : jason@szonline.net
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <malloc.h>
#include <math.h>
#include <time.h>
#include <conio.h>
#include <io.h>
int *arctg5, *arctg239, *tmp;
int DecLen, BinLen;
int x, n, sign, NonZeroPtr;
int Step;
char fn_status[] = "~pi_sts.___";
char fn_arctg5[] = "~atg5.___";
char fn_arctg239[] = "~atg239.___";
char fn_tmp[] = "~tmp.___";
time_t TotalTime, time1, time2;

void __cdecl FirstDiv(int *arctg_array)
{
__asm {
mov esi, arctg_array
mov dword ptr [esi], 1
xor edx, edx
mov ebx, x
mov ecx, BinLen
fd1: mov eax, [esi]
div ebx
mov [esi], eax
add esi, 4
loop fd1
mov esi, arctg_array
mov edi, tmp
mov ecx, BinLen
pushf
cld
rep movsd
popf
}
}

void __cdecl arctgx(int *arctg_array)
{
int NonZeroBytePtr;
int key;
FILE *fp;
for (;NonZeroPtr<BinLen;) {
NonZeroBytePtr = NonZeroPtr * 4;
if (_kbhit()) {
key=_getch();
if (key==0 || key==0xe0) _getch();
if (key=='p') {
printf("Swap data to disk .../n");
if (x==25)
Step = 1;
else
Step = 2;
time(&amp;time2);
TotalTime += time2 - time1;
if ((fp=fopen(fn_status,"wt"))==NULL) {
printf("Create file %s error!!/n", fn_status);
exit(0);
}
fprintf(fp, "%d %d %d %d %d %d %d/n",
Step, DecLen, BinLen, n, sign, NonZeroPtr, TotalTime);
fclose(fp);
if ((fp=fopen(fn_arctg5,"wb"))==NULL) {
printf("Create file %s error!!/n", fn_arctg5);
exit(0);
}
if (fwrite(arctg5, 4, BinLen, fp) != (unsigned)BinLen) {
printf("Write file %s error!!/n", fn_arctg5);
exit(0);
}
fclose(fp);
if ((fp=fopen(fn_arctg239,"wb"))==NULL) {
printf("Create file %s error!!/n", fn_arctg239);
exit(0);
}
if (fwrite(arctg239, 4, BinLen, fp) != (unsigned)BinLen) {
printf("Write file %s error!!/n", fn_arctg239);
exit(0);
}
fclose(fp);
if ((fp=fopen(fn_tmp,"wb"))==NULL) {
printf("Create file %s error!!/n", fn_tmp);
exit(0);
}
if (fwrite(tmp, 4, BinLen, fp) != (unsigned)BinLen) {
printf("Write file %s error!!/n", fn_tmp);
exit(0);
}
fclose(fp);
printf("Exit./n");
exit(0);
}
}
__asm {
mov esi, tmp
add esi, NonZeroBytePtr
xor edx, edx
mov ebx, x
mov ecx, BinLen
sub ecx, NonZeroPtr
arctg1: mov eax, [esi]
div ebx
mov [esi], eax
add esi, 4
loop arctg1
cmp sign, 1
jne sub_
mov esi, tmp
add esi, NonZeroBytePtr
mov edi, arctg_array
add edi, NonZeroBytePtr
xor edx, edx
mov ebx, n
mov ecx, BinLen
sub ecx, NonZeroPtr
add_1: mov eax, [esi]
div ebx
add [edi], eax
adc dword ptr [edi-4], 0
jnc add_3
push edi
sub edi, 4
add_2: sub edi, 4
add dword ptr [edi], 1
jc add_2
pop edi
add_3: add esi, 4
add edi, 4
loop add_1
jmp adj_var
sub_: mov esi, tmp
add esi, NonZeroBytePtr
mov edi, arctg_array
add edi, NonZeroBytePtr
xor edx, edx
mov ebx, n
mov ecx, BinLen
sub ecx, NonZeroPtr
sub_1: mov eax, [esi]
div ebx
sub [edi], eax
sbb dword ptr [edi-4], 0
jnc sub_3
push edi
sub edi, 4
sub_2: sub edi, 4
sub dword ptr [edi], 1
jc sub_2
pop edi
sub_3: add esi, 4
add edi, 4
loop sub_1
adj_var: add n, 2
neg sign
mov esi, tmp
add esi, NonZeroBytePtr
cmp dword ptr [esi], 0
jne adj_var_ok
inc NonZeroPtr
adj_var_ok:
}
}
}

void __cdecl mul_array(int *array, int multiplicator)
{
__asm {
mov esi, BinLen
dec esi
shl esi, 2
add esi, array
mov ecx, BinLen
mov ebx, multiplicator
xor edi, edi
mul1: mov eax, [esi]
mul ebx
add eax, edi
adc edx, 0
mov [esi], eax
mov edi, edx
sub esi, 4
loop mul1
mov [esi], edx
}
}

void __cdecl sub2array(int *array1, int *array2)
{
__asm {
mov esi, array1
mov edi, array2
mov ecx, BinLen
dec ecx
sub1: mov eax, [edi+ecx*4]
sbb [esi+ecx*4], eax
loop sub1
}
}

void main(void)
{
struct tm *ts;
FILE *pi, *fp;
int i, tail, p10tail;
printf("/nProgram to compute PI, by Jason Chen, May 1999./n");
printf(" Dec Length Time(h:m:s)/n");
printf(" 20000 00:00:07/n");
printf(" 100000 00:02:54/n");
printf(" (Running on PII-233, 128MB, Win98do
s mode)/n");
printf(" Homepage: http://www.jason314.com/n");
printf(" Email: jason@szonline.net/n/n");
if ((fp=fopen(fn_status,"rt"))==NULL) {
printf("Decimal length = ");
scanf("%d", &amp;DecLen);
if (DecLen < 100) DecLen = 100;
BinLen = (int)(DecLen / log10(2) / 32) + 2;
Step = 0;
TotalTime = 0;
}
else
{
printf("Reading previous data .../n");
fscanf(fp, "%d %d %d %d %d %d %d",
&amp;Step, &amp;DecLen, &amp;BinLen, &amp;n, &amp;sign, &amp;NonZeroPtr, &amp;TotalTime);
fclose(fp);
if (Step*DecLen*BinLen*n*sign*NonZeroPtr*TotalTime == 0) {
printf("File %s error !!/nExit!/n", fn_status);
exit(0);
}
}
arctg5 = calloc(BinLen, 4);
arctg239 = calloc(BinLen, 4);
tmp = calloc(BinLen, 4);
if (arctg5==NULL || arctg239==NULL || tmp==NULL) {
printf("Not enough memory !!/n");
exit(0);
}
if (Step == 0) {
memset(arctg5, 0, BinLen*4);
memset(arctg239, 0, BinLen*4);
memset(tmp, 0, BinLen*4);
}
else
{
if ((fp=fopen(fn_arctg5,"rb"))==NULL) {
printf("Open file %s error!!/n", fn_arctg5);
exit(0);
}
if (fread(arctg5, 4, BinLen, fp) != (unsigned)BinLen) {
printf("File %s error!!/n", fn_arctg5);
exit(0);
}
fclose(fp);
if ((fp=fopen(fn_arctg239,"rb"))==NULL) {
printf("Open file %s error!!/n", fn_arctg239);
exit(0);
}
if (fread(arctg239, 4, BinLen, fp) != (unsigned)BinLen) {
printf("File %s error!!/n", fn_arctg239);
exit(0);
}
fclose(fp);
if ((fp=fopen(fn_tmp,"rb"))==NULL) {
printf("Open file %s error!!/n", fn_tmp);
exit(0);
}
if (fread(tmp, 4, BinLen, fp) != (unsigned)BinLen) {
printf("File %s error!!/n", fn_tmp);
exit(0);
}
fclose(fp);
}
printf("Working ....../n");
printf("Press 'p' to pause &amp;
exit/n");
time(&amp;time1);
if (Step == 0) {
x = 5;
FirstDiv(arctg5);
x = x * x;
n = 3;
sign = -1;
NonZeroPtr = 1;
arctgx(arctg5);
}
else
if (Step == 1) {
x = 5 * 5;
arctgx(arctg5);
}
if (Step == 0 || Step == 1) {
x = 239;
FirstDiv(arctg239);
x = x * x;
n = 3;
sign = -1;
NonZeroPtr = 1;
arctgx(arctg239);
}
else
{
x = 239 * 239;
arctgx(arctg239);
}
mul_array(arctg5, 16);
mul_array(arctg239, 4);
sub2array(arctg5, arctg239);
if ((pi=fopen("pi.txt","wt"))==NULL) {
printf("Create file pi.txt error!!/n");
exit(0);
}
printf("Writing result to file: pi.txt .../n");
fprintf(pi, "%d", arctg5[0]);
for (i=1;
i<=DecLen/9;
i++) {
arctg5[0] = 0;
mul_array(arctg5, 1000000000);
fprintf(pi, "%09d", arctg5[0]);
}
tail = DecLen % 9;
p10tail = 1;
for (i=1;i<=tail;i++) p10tail *= 10;
arctg5[0] = 0;
mul_array(arctg5, p10tail);
fprintf(pi, "%0*d", tail, arctg5[0]);
fclose(pi);
time(&amp;time2);
TotalTime += time2 - time1;
printf("Done !!/n");
ts = gmtime(&amp;TotalTime);
ts->tm_mon --;
ts->tm_mday = ts->tm_mday - 1 + ts->tm_mon * 31;
printf("Time : ");
if (ts->tm_mday > 0) printf("%d Day(s) ", ts->tm_mday);
printf("%02d:%02d:%02d/n", ts->tm_hour, ts->tm_min, ts->tm_sec);
if (_unlink(fn_status) == 0) {
_unlink(fn_arctg5);
_unlink(fn_arctg239);
_unlink(fn_tmp);
}
}
 
还有好更好的吗?
 
我对此程序的作者的景仰之心如滔滔长江之水连绵不绝!!!
 
这个只有100位
 
我同学说这已经很经典了
 
朋友们:go->
http://www.jason314.com/
 
4亿位
服了
 
多人接受答案了。
 
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