mcpi.md

mcPi - Monte Carlo calculation of Pi

CPU (i7-8550u Linux)

0xffffffff points

gcc -O3

55.03s total(using time)

---

(old)

FPGA 100Mhz clock

one result per three clocks

2min 8s(rough timer)

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(new)

FPGA (xc7z020 on board PYNQ-Z1)

refined design

50Mhz clock, one result per one clock

• timing requirement not meet when 60Mhz clock

1min 26s(rough +=~2s)

16 processing IPs

0xffffffff points per core

>>> 4 * (0xc90fdb38f / (0xffffffff * 16))
3.1415927947712112
>>> 0xc90fdb38f + 0x36f024c61 == 0xffffffff * 16
True
>>> 

Utilization

• maximum ~32 cores expected, speed may double

Block Design

• You can see (left to right) clocking wizard, 16 mc_top calculation core, adders, ZYNQ ps, AXI interconnect, custom AXI IP for PS/PL comm, outputs LED indicators)

Speed Comparison

Arch	Clock	Calculation Speed(0xffffffff points)	Expected Max Speed	Price	Power comsumption
CPU	1.8G-4.0G	**1core:**55s	**8core:**55s/8=6.9s	~$400	TDP 23W(Max 42W)
FPGA	50M	**16core:**1min26s/16=5.4s	**32core:**1min26s/32 = 2.7s	$199	1.62W
		10x speedup	2.6x speedup