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升级   21.05% TA的每日心情 | 郁闷 2015-4-14 11:21 |
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签到天数: 1 天 [LV.1]初来乍到
- 自我介绍
- 德玛西亚
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用C++和VBA分别写了一段用随机数字测试 的值的算法,用500万个随机数,发现VBA需要570毫秒,而C++则需要150毫秒。这也太让人失望了把,C++写起来那么麻烦,起码也要快个几个数量级吧?python就更别说了,居然要7秒钟。求各位大神帮我看看是不是我的代码没优化好?
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计算方法:生成 , 两个在0 到 之间的随机数,数一数这些数字里面有多少个落在了半径为 的1/4圆的扇形里面,用这个数字代表扇形面积,用总随机数数量代表正方形面积。因为扇形的面积是 ,而正方形的面积是 , 可得知 =扇形面积/正方形面积 * 4. u& K5 p/ P% m6 J- I+ h
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#include "stdafx.h"#include <iostream>#include <time.h>using namespace std;void main(){ double st = clock(); double rand_max = 32767; srand((int)time(0)); unsigned int simulate_total = 2500000; unsigned int inside_count = 0; unsigned int radius = rand_max * rand_max; unsigned int randA; unsigned int randB; unsigned int randA_opp; unsigned int randB_opp; for (unsigned int i = 1; i < simulate_total; i++){ randA = rand(); randB = rand(); if ((randA * randA + randB * randB) < radius){ inside_count++; } randA_opp = rand_max - randA; randB_opp = rand_max - randB; if ((randA_opp * randA_opp + randB_opp * randB_opp) < radius){ inside_count++; } } cout << inside_count / double(simulate_total) * 2 << endl; cout << clock() - st << endl;}; i* D) M% A' `
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* F! K9 y4 H; D! v" @, tVBA代码:2 q! q9 Z: E8 S" r
Sub simulate_pi()Dim area_count As Double: area_count = 0Dim simulate_count As Double: simulate_count = 2500000Dim i As DoubleDim randA As Double, randB As DoubleDim randA_opp As Double, randB_opp As DoubleFor i = 1 To simulate_count randA = Math.Rnd() randB = Math.Rnd() randA_opp = 1 - randA randB_opp = 1 - randB If randA * randA + randB * randB < 1 Then area_count = area_count + 1 End If If randA_opp * randA_opp + randB_opp * randB_opp < 1 Then area_count = area_count + 1 End IfNext iDebug.Print "Estimate: ", area_count / simulate_count * 2End Sub'VBA内测时间的方法:'新建一个module,把以下代码复制进去,然后运行test.Option ExplicitPrivate Declare Function getFrequency Lib "kernel32" _Alias "QueryPerformanceFrequency" (cyFrequency As Currency) As LongPrivate Declare Function getTickCount Lib "kernel32" _Alias "QueryPerformanceCounter" (cyTickCount As Currency) As Long'Function MicroTimer() As Double'' Returns seconds.' Dim cyTicks1 As Currency Static cyFrequency As Currency ' MicroTimer = 0' Get frequency. If cyFrequency = 0 Then getFrequency cyFrequency' Get ticks. getTickCount cyTicks1' Seconds If cyFrequency Then MicroTimer = cyTicks1 / cyFrequencyEnd FunctionSub test() Dim st: st = MicroTimer Call simulate_pi Debug.Print (MicroTimer - st) * 1000End Sub) h3 H9 m7 f3 f5 i
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: n% X+ g& o3 Z# m& `+ f8 P: xPython代码:#!/usr/bin/python# Filename : pi_simulate.pyimport randomimport timetime_start = time.perf_counter()inside_count = 0simulate_total = 2500000randA = 0randB = 0for i in range(1, simulate_total): randA = random.uniform(0,1) randB = random.uniform(0,1) if ((randA * randA + randB * randB) < 1): inside_count = inside_count + 1 randA_opp = 1 - randA randB_opp = 1 - randB if ((randA_opp * randA_opp + randB_opp * randB_opp) < 1): inside_count = inside_count + 1print (inside_count/simulate_total*2)print ("Time spent", time.perf_counter() - time_start)$ i1 c& N/ i& e& L
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