undeniable, SuperPi long history, with many people, other similar software can match. But its a little more about the people, here are the details you may not know:
1.SuperPi release date is Heisei 7 years (1996)
2. [ ,mo と の プ ロ グ Getting ム FORTRAN で は? か れ て i ma si ga, そ れ を C word? ni? ki shi ma shi ta straight.
originally planned to use the Fortran write, and finally use the C language
3. ga ウ Surumae _ GUI ャ ン ド Hikaru の ア Hikaru ゴ リ ズ ム を? with し て i ma si
using Gauss-Legendre algorithm
4. create records used in large machines is HITAC S-3800/480 (95 years, the configuration of, ah, but then seems absolutely powerful ah):
Lord?? Capacity: 1792.75 MB (main memory) < br>???? Capacity: 25120 MB (extended memory)
ア Hikaru ゴ リ ズ ム: ボ? Hikaru ウ ェ イ ン の 4 の? beam ア Hikaru ゴ リ ズ ム
use the algorithm: Borwein four Diego on behalf of the algorithm
attention! and SuperPi algorithm used is not the same! !
many people know, the author developed SuperPi mainframe ran with a record 4.2 billion, and all that is and SuperPI using the same algorithm, but it did not! We are all in the chat rooms!
6.Pentium 66MHz calculated 1.04 million to 1 hour 13 minutes and 22 seconds
HITAC S-3800/480 calculated 1.04 million approximately only 5 seconds!
Pentium 66MHz calculated 33.55 million required 105 hours 35 minutes 17 seconds
HITAC S-3800/480 calculate 33.55 million approximately only 4 minutes!
Note: The use of algorithms and software environment is different, large machine and PC is not absolutely comparable, or 95 years of mainframe Moreover, its excellent performance to some extent, sure.
hardware and software development are very alarming, in September 1986, a record 4.2 billion to create one of the Kaneda calculated using HITAC S-810/20 33550000 Pi value, which is one of the world at the time record! But in October the same year they put thousands of records to double to 6 7 1 million.
I use QPI's AGM algorithm using SuperPi 33.55 million, spent 3 minutes and 47 seconds to complete,ugg bailey button boots, and even to experience the speed of the mainframe then it
7. on the Gauss -Legendre algorithm and Borwein four iterative algorithm, SuperPI is also given a detailed description:
SuperPI used Gauss-Legendre algorithm: (PS: Also called the AGM algorithm (Arithmetic-Geometric Mean))
1. Initial determine
a = 1
b = 1 / sqrt (2)
t = 1 / 4
x ; = 1
2. a and b are taking the same precision, iterative calculation the following formula:
y = a
a = (a + b) / 2
b = sqrt (b ? y)
t = t - x ?; (y - a) ^ 2
x = 2 ? x
3. a and b Iteration to sufficient accuracy, based on the following formula to calculate the PI value
Pi = (a + b ;) ^ 2 / (4 ? t)
feature of this formula once for each iteration will be twice as high than the previous iteration, the precision,uggs sale, so to calculate 1040000 (2 of 22 power), 19 iterations suffice, and this is why SuperPi calculation amount is increased to a multiple of 2, and the calculations will appear as a section of the record, that is, each iteration the time spent! Theoretically, the time each should be identical. More ridiculous is that SuperPi MOD version of the finished translation, the translation needs 19 iterations of double counting 19 times,ugg store, obviously there is an error of understanding.
4.2 billion of supercomputer calculation used by Borwein four iterative:
1. Initial OK:
a [0] = 6 - 4 ? sqrt (2) < br> y [0] = sqrt (2) - 1
< br> 2. By computing the following formula to improve the accuracy
y [k +1] = (1 - (1-y [k ] ^ 4) ^ (1 / 4)) / (1 + (1-y [k] ^ 4) ^ (1 / 4))
a [k +1] = a [k] ? (1 + y [k +1]) ^ 4 - 2 ^ (2 ? k +3 ) ? y [k +1] ? (1 + y [k +1] + y [k +1] ^ 2)
3. When a [n] and b [n] to achieve sufficient accuracy, the determine the Pi value
Pi = 1 / a [ ,n]
so you can see, the formula is first calculated the inverse of Pi, figure out a [n], the need to do a \must be recognized, SuperPi preparation of age-old, now appears to achieve the efficiency is very low. Qpi that use exactly the same algorithm, in my E6300 machine, just 3.37 seconds to finish 1.04 million in the calculation of the 19 iterations!
calculation (QPI4.5 version to use-agm3 parameters, and SuperPi is not exactly the same algorithm E6300 overclocked Vista environment):
Starting 1st iteration, time : 0.13
Starting 2nd iteration, time: 0.19
Starting 3rd iteration, time: 0.17
Starting 4th ; iteration,australia ugg boots sale, time: 0.19
Starting 5th iteration, time: 0.19
Starting 6th iteration, time: 0.19 < br> Starting 7th iteration, time: 0.17
Starting 8th iteration, time: 0.19
Starting 9th iteration, time: 0.17
Starting 10th iteration, time: 0.19
Starting 11th iteration, time: 0.17
Starting 12th iteration, ; time: 0.19
Starting 13th iteration, time: 0.19
Starting 14th iteration,ugg outlet, time: 0.17
Starting 15th iteration, time: 0.19
Starting 16th iteration,ugg outlet store, time: 0.19
Starting 17th iteration, time: 0.17
Starting 18th iteration , time: 0.17
Starting 19th iteration, time: 0.17
Total iteration time: 3.37
Computing final value , time: 0.14
Total time: 3.56 seconds
Total memory used: 12,003,171 (11.45 MB)
Processor utilization: 128.98%
CPU utilization reached 128.98 percent on its use of a second core, 28.98% efficiency,buy mbt shoes, played some of the dual-core advantage, but even complete single-core implementation should not slow where to go, than SuperPi 30 seconds long and almost 10 speed, and this success than those that were hot standings overclocking results much faster, and if you use chudnovsky the fastest algorithm, as long as 1.5 seconds, 104 million will be the end of the fighting .... replaced by overclocking, if those cattle machine standings, just 0:00 seconds will solve!
with SuperPi of people do not know how many people know Pifast, there are several that Qpi, there are several people both know the
SuperPi's position in the stage of history is always there , but the test of CPU speed, or for more advanced algorithms and procedures will feel better and feel better fast experience! Watch SuperPi the list, I seem to see the eruption of the sports car engine mounted on a tractor ...
you really old SuperPi ...
do a SuperPi ....< br> http://itbbs.pconline.com.cn/diy/8682126_1.html
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