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Real Pi Benchmark

Real Pi Benchmark

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Real Pi Benchmark 截图

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Real Pi Benchmark 描述

RealPi provides some of the best and most interesting Pi calculation algorithms out there. This app is a benchmark which tests your Android device's CPU and memory performance. It calculates the value of Pi to the number of decimal places you specify. You can view and search for patterns in the resulting digits to find your birthday in Pi or find famous digit sequences like the "Feynman Point" (six 9's in a row at the 762nd digit position). There are no hard limits on the number of digits, if you experience a freeze please see "Warnings" below.
Leave comments with your Pi calculation time on the AGM+FFT formula for 1 million digits. Also the most digits you can calculate, which tests your phone's memory. The author's Huawei Ascend P1 takes 25 sec for 1 million and can do at most 33 million digits. Note that the AGM+FFT algorithm works in powers of 2, so calculating 10 million digits takes just as much time and memory as 16 million digits (the internal precision is shown in the output). On multi-core processors RealPi tests the performance of a single core. For accurate benchmark timing ensure that no other applications are running and your phone is not hot enough to throttle the CPU.
Search function:
Use this to find patterns in Pi like your birthday. For best results calculate at least one million digits using the AGM + FFT formula, then select the "Search for Patterns" menu option.
Here's a summary of the available algorithms:
-AGM + FFT formula (Arithmetic Geometric Mean): This is one of the fastest available methods to calculate Pi, and is the default formula used by RealPi when you press "Start". It runs as native C++ code and is based on Takuya Ooura's pi_fftc6 program. For many millions of digits it can require a lot of memory, which often becomes the limiting factor in how many digits you can calculate.
-Machin's formula: This formula was discovered by John Machin in 1706. It's not nearly as fast as AGM + FFT, but shows you all the digits of Pi accumulating in real time as the calculation proceeds. Choose this formula in the settings menu and then press "Start". It's written in Java using the BigDecimal class. You should probably not ask it to compute much more than 10000 digits.
-Nth digit of Pi formula by Gourdon: This formula shows that it's possible (surprisingly) to calculate decimal digits of Pi "in the middle" without calculating the preceding digits, and needs very little memory. When you press the "Nth Digit" button RealPi determines 9 digits of Pi ending with the digit position you specify. It runs as native C++ code and is based on Xavier Gourdon's pidec program. Although it's faster than Machin's formula it can't beat the AGM + FFT formula in speed.
-Nth digit of Pi formula by Bellard: Gourdon's algorithm for the Nth digit of Pi can't be used for the first 50 digits, so this formula by Fabrice Bellard is used instead if digits < 50.
If you enable the "Calculate when in sleep" option RealPi will keep calculating while your screen is off, useful when calculating many digits of Pi. While not calculating or after the calculation finishes your device will go into deep sleep as usual.
This app can drain your battery quickly when doing a long calculation, especially if the "Calculate when in sleep" option is on.
Calculation speed depends on your device's CPU speed and memory. At very large numbers of digits RealPi may terminate unexpectedly or not produce an answer. It could also take a very long time to run (years). This is due to the large amount of memory and/or CPU time needed. The upper limit on the number of digits you can calculate depends on your Android device.
Changes to the "Calculate when in sleep" option take effect for the next Pi calculation, not in the middle of a calculation.
留下您的丕计算时间上的AGM + FFT公式1万位的意见。也是最数字可以计算,测试你的手机的内存。笔者的华为Ascend P1采用25秒100万,可以做的至多33万位。需要注意的是AGM + FFT算法的工作以2的幂,所以计算千万的数字需要同样多的时间和内存为1600万个数字(内部高精度显示在输出)。在多核处理器RealPi测试一个单核的性能。为了获得准确的基准时间确保没有其他应用程序正在运行,你的手机是不够热油门的CPU。
使用此发现淠模式,如您的生日。为了达到最佳效果计算至少100万使用AGM + FFT式的数字,然后选择“搜索模式”菜单选项。
 -AGM + FFT公式(算术几何平均值):这是最快的方法计算出圆周率之一,是由RealPi使用时按下“开始”的默认公式。它运行原生C ++代码,并基于木村拓哉Ooura的pi_fftc6计划。对于数以百万计的数字它可能需要大量的内存,这往往成为你能有多少位计算的限制因素。
 -Machin的公式:这个公式是在1706年发现的由约翰·梅钦这不是几乎一样快AGM + FFT,但显示你的Pi积累的所有实时为计算所得的数字。选择此公式的设置菜单,然后按下“开始”。它使用BigDecimal类用Java编写的。你可能不应该要求它来计算远远超过10000位。
 皮式由古尔的-Nth位:该公式表明这是可能的(奇怪)为“中间”十进制计算圆周率数字不计算前面的数字,并且需要很少的内存。当您按下“第N位”按钮RealPi决定9丕数字与您指定的数字位置结束。它运行原生C ++代码,并基于泽维尔古尔的PIDEC计划。虽然它比梅钦公式更快的不能击败速度股东周年大会+ FFT公式。

Real Pi Benchmark 更新内容

1.1 2014-04-30
-Updated to use new theme, add action bar
-Enabled Move to SD
-Added warnings when Machin or Gourdon formula will take a long time to run
-Removed support for Cupcake, Donut
Pi music may be coming one day in a future version of this app! Pi fanatics check out this song composed by Michael Blake based on Tau (2Pi) www.youtube.com/watch?v=3174T-3-59Q

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Android 2.1.x 以上

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