def calibrate(self):
from sage.all_cmdline import Integer, var
for i in xrange(self.rounds):
_sage_const_1 = Integer(1)
_sage_const_7 = Integer(10)
var('x,y,z')
f = (x+y+z+_sage_const_1 )**_sage_const_7
def calibrate(self):
from sage.all_cmdline import Integer, var, expand
for i in xrange(self.rounds):
_sage_const_50 = Integer(55)
x=var('x')
y=var('y')
z=var('z')
f=expand((x**y+y**z+z**x)**_sage_const_50)
def test(self):
from sage.all_cmdline import Integer, expand, var
for i in xrange(self.rounds):
_sage_const_1 = Integer(1)
_sage_const_7 = Integer(10)
var('x,y,z')
f = (x+y+z+_sage_const_1 )**_sage_const_7
g = expand(f*(f+_sage_const_1 ));
def test(self):
from sage.all_cmdline import Integer, expand, var, diff
for i in xrange(self.rounds):
_sage_const_50 = Integer(110)
x=var('x')
y=var('y')
z=var('z')
f=expand((x**y+y**z+z**x)**_sage_const_50)
g = f.diff(x)
def calibrate(self):
from sage.all_cmdline import Integer,var
for _ in xrange(self.rounds):
_sage_const_10 = Integer(10)
l=[]
for j in xrange(1,10):
l.append("q"+str(j))
s=reduce(lambda a,b: a+","+b,l)
sp=reduce(lambda a,b: a+"+"+b,l)
var(s)
f = eval(sp)
def calibrate(self):
from sage.all_cmdline import Integer, var
for _ in xrange(self.rounds):
_sage_const_10 = Integer(10)
l = []
for j in xrange(1, 10):
l.append("q" + str(j))
s = reduce(lambda a, b: a + "," + b, l)
sp = reduce(lambda a, b: a + "+" + b, l)
var(s)
f = eval(sp)
def test(self):
"""
sage: time v = [-pi,-pi+1/10..,pi]
"""
from sage.all_cmdline import Integer, var
for _ in xrange(self.rounds):
_sage_const_10 = Integer(500)
l = []
for j in xrange(1, 1000):
l.append("q" + str(j))
s = reduce(lambda a, b: a + "," + b, l)
sp = reduce(lambda a, b: a + "+" + b, l)
var(s)
f = eval(sp)
a = [bool(f == f) for _ in range(_sage_const_10)]
def test(self):
"""
sage: time v = [-pi,-pi+1/10..,pi]
"""
from sage.all_cmdline import Integer,var
for _ in xrange(self.rounds):
_sage_const_10 = Integer(500)
l=[]
for j in xrange(1,1000):
l.append("q"+str(j))
s=reduce(lambda a,b: a+","+b,l)
sp=reduce(lambda a,b: a+"+"+b,l)
var(s)
f = eval(sp)
a = [bool(f==f) for _ in range(_sage_const_10 )]
def test(self):
"""
def hermite(n,y):
if n == 1: return 2*y
if n == 0: return 1
return expand(2*y*hermite(n-1,y) - 2*(n-1)*hermite(n-2,y))
time hermite(15,var('y'))
"""
from sage.all_cmdline import Integer, sqrt, real, var, expand
for _ in xrange(self.rounds):
_sage_const_2 = Integer(2)
_sage_const_1 = Integer(1)
_sage_const_0 = Integer(0)
_sage_const_15 = Integer(18)
def hermite(n, y):
if n == _sage_const_1: return _sage_const_2 * y
if n == _sage_const_0: return _sage_const_1
return expand(
_sage_const_2 * y * hermite(n - _sage_const_1, y) -
_sage_const_2 *
(n - _sage_const_1) * hermite(n - _sage_const_2, y))
hermite(_sage_const_15, var('y'))
def test(self):
from sage.all_cmdline import Integer, var, sin, cos, taylor
for i in xrange(self.rounds):
_sage_const_0 = Integer(0)
_sage_const_1000 = Integer(350)
x=var('x')
w = (sin(x)*cos(x)).taylor(x,_sage_const_0 ,_sage_const_1000 )
def calibrate(self):
from sage.all_cmdline import Integer,var
for _ in xrange(self.rounds):
_sage_const_2 = Integer(2); _sage_const_10 = Integer(10); _sage_const_0 = Integer(0); _sage_const_5 = Integer(5); _sage_const_4 = Integer(4)
def right(f,a,b,n):
Deltax = (b-a)/n; c=a; est=_sage_const_0
for _ in range(n):
c += Deltax
est += f(x=c)
return est*Deltax
x=var('x')
def calibrate(self):
from sage.all_cmdline import Integer, ellipsis_range,var,uniq,\
set_random_seed
set_random_seed(0)
random.seed(0)
for _ in xrange(self.rounds):
def blowup(L,n):
R=[e for e in L]
for i in xrange(n):
R=[e*f for e in L for f in R]
return R
(x,y)=var('x,y')
L = [x,y]
L=blowup(L, 8)
def calibrate(self):
from sage.all_cmdline import Integer,var
for _ in xrange(self.rounds):
_sage_const_3 = Integer(3)
_sage_const_32 = Integer(32)
_sage_const_45 = Integer(45)
_sage_const_4 = Integer(4)
_sage_const_9 = Integer(9)
_sage_const_12 = Integer(12)
_sage_const_10 = Integer(10)
_sage_const_18 = Integer(18)
_sage_const_21 = Integer(21)
_sage_const_34 = Integer(34)
_sage_const_24 = Integer(24)
x=var('x')
f = x**_sage_const_24 +_sage_const_34 *x**_sage_const_12 +_sage_const_45 *x**_sage_const_3 +_sage_const_9 *x**_sage_const_18 +_sage_const_34 *x**_sage_const_10 + _sage_const_32 *x**_sage_const_21
def calibrate(self):
from sage.all_cmdline import Integer, ellipsis_range,var,uniq,\
set_random_seed
set_random_seed(0)
random.seed(0)
for _ in xrange(self.rounds):
def blowup(L, n):
R = [e for e in L]
for i in xrange(n):
R = [e * f for e in L for f in R]
return R
(x, y) = var('x,y')
L = [x, y]
L = blowup(L, 8)
def calibrate(self):
from sage.all_cmdline import Integer, var
for _ in xrange(self.rounds):
_sage_const_3 = Integer(3)
_sage_const_32 = Integer(32)
_sage_const_45 = Integer(45)
_sage_const_4 = Integer(4)
_sage_const_9 = Integer(9)
_sage_const_12 = Integer(12)
_sage_const_10 = Integer(10)
_sage_const_18 = Integer(18)
_sage_const_21 = Integer(21)
_sage_const_34 = Integer(34)
_sage_const_24 = Integer(24)
x = var('x')
f = x**_sage_const_24 + _sage_const_34 * x**_sage_const_12 + _sage_const_45 * x**_sage_const_3 + _sage_const_9 * x**_sage_const_18 + _sage_const_34 * x**_sage_const_10 + _sage_const_32 * x**_sage_const_21
def test(self):
from sage.all_cmdline import Integer, var
for _ in xrange(self.rounds):
_sage_const_2 = Integer(2)
_sage_const_10 = Integer(11)
_sage_const_0 = Integer(0)
_sage_const_5 = Integer(5)
_sage_const_4 = Integer(4)
def right(f,a,b,n):
Deltax = (b-a)/n; c=a; est=_sage_const_0
for _ in range(n):
c += Deltax
est += f(x=c)
return est*Deltax
x=var('x')
v=right(f=x**_sage_const_2 ,a=_sage_const_0 ,b=_sage_const_5 ,n=_sage_const_10 **_sage_const_4 );
def test(self):
from sage.all_cmdline import Integer, random,var
for _ in xrange(self.rounds):
_sage_const_3 = Integer(3)
_sage_const_32 = Integer(32)
_sage_const_45 = Integer(45)
_sage_const_4 = Integer(4)
_sage_const_9 = Integer(9)
_sage_const_12 = Integer(12)
_sage_const_10 = Integer(9)
_sage_const_18 = Integer(18)
_sage_const_21 = Integer(21)
_sage_const_34 = Integer(34)
_sage_const_24 = Integer(24)
x=var('x')
f = x**_sage_const_24 +_sage_const_34 *x**_sage_const_12 +_sage_const_45 *x**_sage_const_3 +_sage_const_9 *x**_sage_const_18 +_sage_const_34 *x**_sage_const_10 + _sage_const_32 *x**_sage_const_21
a = [f(x=random()) for _ in xrange(_sage_const_10 **_sage_const_4 )]
def test(self):
from sage.all_cmdline import Integer, random, var
for _ in xrange(self.rounds):
_sage_const_3 = Integer(3)
_sage_const_32 = Integer(32)
_sage_const_45 = Integer(45)
_sage_const_4 = Integer(4)
_sage_const_9 = Integer(9)
_sage_const_12 = Integer(12)
_sage_const_10 = Integer(9)
_sage_const_18 = Integer(18)
_sage_const_21 = Integer(21)
_sage_const_34 = Integer(34)
_sage_const_24 = Integer(24)
x = var('x')
f = x**_sage_const_24 + _sage_const_34 * x**_sage_const_12 + _sage_const_45 * x**_sage_const_3 + _sage_const_9 * x**_sage_const_18 + _sage_const_34 * x**_sage_const_10 + _sage_const_32 * x**_sage_const_21
a = [f(x=random()) for _ in xrange(_sage_const_10**_sage_const_4)]
def calibrate(self):
from sage.all_cmdline import Integer, var
for _ in xrange(self.rounds):
_sage_const_2 = Integer(2)
_sage_const_10 = Integer(10)
_sage_const_0 = Integer(0)
_sage_const_5 = Integer(5)
_sage_const_4 = Integer(4)
def right(f, a, b, n):
Deltax = (b - a) / n
c = a
est = _sage_const_0
for _ in range(n):
c += Deltax
est += f(x=c)
return est * Deltax
x = var('x')
def test(self):
from sage.all_cmdline import Integer, ellipsis_range,var,uniq,\
set_random_seed,expand
from itertools import izip
for _ in xrange(self.rounds):
def blowup(L,n):
R=[e for e in L]
for i in xrange(n):
R=[e*f for e in L for f in R]
return R
(x,y)=var('x,y')
L = [x,y]
L=blowup(L, 8)
R=[]
for (pt,e) in enumerate(L):
for f in L[pt+1:]:
R.append((e-f).is_trivial_zero())
def test(self):
"""
def hermite(n,y):
if n == 1: return 2*y
if n == 0: return 1
return expand(2*y*hermite(n-1,y) - 2*(n-1)*hermite(n-2,y))
time hermite(15,var('y'))
"""
from sage.all_cmdline import Integer, sqrt, real, var, expand
for _ in xrange(self.rounds):
_sage_const_2 = Integer(2)
_sage_const_1 = Integer(1)
_sage_const_0 = Integer(0)
_sage_const_15 = Integer(18)
def hermite(n,y):
if n == _sage_const_1 : return _sage_const_2 *y
if n == _sage_const_0 : return _sage_const_1
return expand(_sage_const_2 *y*hermite(n-_sage_const_1 ,y) - _sage_const_2 *(n-_sage_const_1 )*hermite(n-_sage_const_2 ,y))
hermite(_sage_const_15 ,var('y'))
def test(self):
from sage.all_cmdline import Integer, ellipsis_range,var,uniq,\
set_random_seed,expand
from itertools import izip
for _ in xrange(self.rounds):
def blowup(L, n):
R = [e for e in L]
for i in xrange(n):
R = [e * f for e in L for f in R]
return R
(x, y) = var('x,y')
L = [x, y]
L = blowup(L, 8)
R = []
for (pt, e) in enumerate(L):
for f in L[pt + 1:]:
R.append((e - f).is_trivial_zero())
def calibrate(self):
from sage.all_cmdline import Integer, var
for i in xrange(self.rounds):
_sage_const_0 = Integer(0)
_sage_const_1000 = Integer(200)
x=var('x')
def calibrate(self):
from sage.all_cmdline import Integer, var
for i in xrange(self.rounds):
_sage_const_100 = Integer(120)
x,y,z=var('x,y,z')
def test(self):
from sage.all_cmdline import Integer, expand, sin, cos, var
for i in xrange(self.rounds):
_sage_const_100 = Integer(200)
x,y,z=var('x,y,z')
a = expand((x**sin(x) + y**cos(y) - z**(x+y))**_sage_const_100 );