def test_asin(self):
start = 0
diff = 0.00000001
for i in range(2):
for e in env:
set_posit_env(e[0], e[1])
b = Math.asin(Posit(start))
Posit(asin(float(Posit(start).get_value())))
start += diff
def test_log(self):
start = 10
diff = 0.1
for i in range(100):
for e in env:
set_posit_env(e[0], e[1])
b = Math.log(Posit(start))
self.assertEqual(Posit(log(float(Posit(start).get_value()))),
b)
start += diff
def test_large_tan(self):
start = -100
diff = 10
for i in range(100):
for e in env:
set_posit_env(e[0], e[1])
b = Math.tan(Posit(start))
self.assertEqual(Posit(tan(float(Posit(start).get_value()))),
b)
start += diff
def test_pow(self):
i = 10.0
while i < 10:
j = -10.0
while j < 10.0:
for e in env:
set_posit_env(e[0], e[1])
b = Posit(i)**Posit(j)
self.assertEqual(
Posit(
float(Posit(i).get_value())**float(
Posit(j).get_value())), b)
j += 0.1
i += 0.1
def test_small_cast(self):
ctx = shortcuts.get_context()
ctx.load_libs(['../PySigmoid/posit-javascript/js/decimallookupv2.js'])
start = 1.5
diff = 0.0001
for i in range(10000):
res = eval(ctx.run_script('convertDToP("{}")'.format(str(start))))
for j in res:
nbits = j["ps"]
es = j["es"]
set_posit_env(nbits, es)
a, b = bin(Posit(start).number)[2:], bin(int(j["posit"],
2))[2:]
self.assertEqual(a, b)
start += diff
from mpmath import mpf, mp
mp.prec = 7
# 500 digits of precision
getcontext().prec = 50
def decacc(x, y):
if x == y:
return D('inf')
else:
try:
return -abs((x / y).log10()).log10()
except:
return 0
import numpy
p = Posit()
p.set_bit_pattern(p.maxpos)
p = -p
p = p.get_value()
q = Posit()
q.set_bit_pattern(q.maxpos)
q = q.get_value()
xx = []
yy = []
while p <= q:
t = deepcopy(p)
x = Posit(float(p)).get_value()
y = p
d = decacc(x, y)
def intpower(x):
if type(x) != Posit:
raise Exception("Argument must be posit")
q = Quire(x)
q.q = q.q.intpower()
return Posit(q)
def pi(nbits, es):
# uses Bailey–Borwein–Plouffe formula
q = Quire(0, nbits = nbits, es = es)
q.q = q.family.pi
return Posit(q)
def exp(x):
if type(x) != Posit:
raise Exception("Argument must be posit")
q = Quire(x)
q.q = q.q.exp()
return Posit(q)
try:
return -abs((x / y).log10()).log10()
except:
return 0
set_posit_env(8, 0)
start = -100
end = 100
xx = []
yy = []
yy2 = []
def sigmoid(x):
return 1 / (1 + exp(-x))
while start <= end:
q = Posit(start)
q = q.sigmoid()
xx.append(start)
yy.append(float(q))
yy2.append(sigmoid(start))
start += 0.01
# Plot
a = plt.plot(xx, yy, color = 'red', label = "Posit Flip Sign, Shift Right Two Times")
b = plt.plot(xx, yy2, color = 'blue', label = "Floating Point 1/(1 + e^-x)")
plt.legend()
plt.show()
