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timing_basic_operations.py
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timing_basic_operations.py
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from timeit import time
# import bigfloat as bf
import gmpy2 as gp
import numpy as np
import matplotlib.pyplot as plt
from tap import Tap
def compute_timings():
# operations = [bf.add, bf.mul, bf.sub, bf.div]
operations = [gp.add, gp.mul, gp.sub, gp.div]
labels = ["add", "mul", "sub", "div"]
for label, operation in zip(labels, operations):
precisions, times = [], []
for i in range(3, 45):
p = int(1.3**i)
precisions.append(p)
gp.set_context(gp.context(precision=p))
start = time.time()
pi = gp.const_pi()
e = gp.exp(1)
a = operation(e, pi)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
end = time.time()
times.append(end-start)
plt.plot(precisions, times, label=label)
plt.legend()
plt.xlabel('Precision')
plt.ylabel('Time')
plt.show()
def load_file(filename: str):
with open(filename, 'r') as f:
text = f.read()
op_texts = text.split("\n\n***===***\n")
labels = ["add", "sub", "mul", "div"]
for op_text, label in zip(op_texts, labels):
times, precisions = [], []
for line in op_text.split("\n"):
tokens = line.split()
if tokens:
times.append(float(tokens[0]))
precisions.append(int(tokens[-1]))
print(precisions, times)
print(max(times))
label = label
plt.plot(precisions, times, label=label)
plt.legend()
plt.xlabel('Precision')
plt.ylabel('Time')
plt.show()
if __name__ == "__main__":
# compute_timings()
class ArgParse(Tap):
filename: str
args = ArgParse().parse_args()
load_file(args.filename)
# for label, operation in zip(labels, operations):
# precision = 10
# precisions = []
# ratios = []
# ratio = 0
# print(label)
# while ratio < 2:
# test_precisions = [precision, 2 * precision]
# times = []
# for p in test_precisions:
# context = bf.precision(p) + bf.RoundTowardZero
# start = time.time()
# pi = bf.const_pi(context)
# e = bf.exp(1, context)
# a = operation(e, pi, context)
# end = time.time()
# ts.append(end - start)
# times.append(sum(ts) / len(ts))
# ratio = times[1] / times[0]
# ratios.append(ratio)
# precisions.append(precision)
# precision *= 2
# print(precision)
# print("Precision at which doubling precision takes twice the time for", label, "is:", precision)
# plt.plot(precisions, ratios, label=label)
# plt.legend()
# plt.xlabel('Precision')
# plt.ylabel('Ratio between time at precision at 2p and p')
# plt.show()
# 1) super high precision
# 2) throw out overhead
# 3) performance estimation is too hard (maybe some surrogate method)