def test_09_CDComposDA(self):
da = tpsa.base()
x1 = da[0] + 2 * da[1] + 3 * da[2]
x2 = tpsa.sin(x1)
x1 = tpsa.cos(x1)
x3 = 0.5 * da[0] + 4 * da[1] + 2.7 * da[2]
x4 = tpsa.sin(x3)
x3 = tpsa.cos(x3)
y1 = tpsa.complex(x1, x2)
y2 = tpsa.complex(x3, x4)
cmmap = tpsa.assign_cd(2)
cmmap[0] = tpsa.complex(x1, tpsa.exp(x1))
cmmap[1] = tpsa.complex(x2, tpsa.exp(x2))
mmap = tpsa.assign(3)
mmap[0] = x1
mmap[1] = x2
mmap[2] = x1 + 0.33 * x2
comap = tpsa.assign_cd(2)
tpsa.cd_composition(cmmap, mmap, comap)
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_composition_da_0.txt",
comap[0], self.eps))
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_composition_da_1.txt",
comap[1], self.eps))
def test_08_DAComposCD(self):
da = tpsa.base()
x1 = da[0] + 2 * da[1] + 3 * da[2]
x2 = tpsa.sin(x1)
x1 = tpsa.cos(x1)
x3 = 0.5 * da[0] + 4 * da[1] + 2.7 * da[2]
x4 = tpsa.sin(x3)
x3 = tpsa.cos(x3)
y1 = tpsa.complex(x1, x2)
y2 = tpsa.complex(x3, x4)
mmap = tpsa.assign(2)
mmap[0] = x1
mmap[1] = x2
cnmap = tpsa.assign_cd(3)
cnmap[0] = y1
cnmap[1] = y2
cnmap[2] = y1 * y2
comap = tpsa.assign_cd(2)
tpsa.cd_composition(mmap, cnmap, comap)
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "da_composition_cd_0.txt",
comap[0], self.eps))
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "da_composition_cd_1.txt",
comap[1], self.eps))
def test_07_CDfuncs(self):
da = tpsa.base()
x1 = da[0] + 2 * da[1] + 3 * da[2]
x2 = tpsa.sin(x1)
x1 = tpsa.cos(x1)
x3 = 0.5 * da[0] + 4 * da[1] + 2.7 * da[2]
x4 = tpsa.sin(x3)
x3 = tpsa.cos(x3)
y1 = tpsa.complex(x1, x2)
y2 = tpsa.complex(x3, x4)
r = y1 + y2
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_calculation_0.txt", r,
self.eps))
r = y1 - y2
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_calculation_1.txt", r,
self.eps))
r = y1 * y2
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_calculation_2.txt", r,
self.eps))
r = y1 / y2
self.assertTrue(
tpsa.compare_cd_with_file(self.path + "cd_calculation_3.txt", r,
self.eps))
def test_04_SubstDAs(self):
da = tpsa.base()
x = 1 + da[0] + 2 * da[1] + 5 * da[2]
y = tpsa.exp(x)
z = tpsa.assign()
idx = [0, 1]
lv = tpsa.assign(2)
lv[0] = tpsa.sin(x)
lv[1] = tpsa.cos(x)
tpsa.da_substitute(y, idx, lv, z)
self.assertTrue(
tpsa.compare_da_with_file(
self.path + "substitute_multiple_da_vectors.txt", z, self.eps))
def test_06_Composition(self):
da = tpsa.base()
x = 1 + da[0] + 2 * da[1] + 5 * da[2]
y = tpsa.exp(x)
lx = tpsa.assign(3)
lx[0] = x
lx[1] = y
lx[2] = tpsa.sinh(x)
lu = tpsa.assign(3)
lu[0] = tpsa.sin(x)
lu[1] = tpsa.cos(x)
lu[2] = tpsa.tan(x)
ly = tpsa.assign(3)
tpsa.da_composition(lx, lu, ly)
self.assertTrue(
tpsa.compare_da_with_file(self.path + "da_composition_0.txt",
ly[0], self.eps))
self.assertTrue(
tpsa.compare_da_with_file(self.path + "da_composition_1.txt",
ly[1], self.eps))
self.assertTrue(
tpsa.compare_da_with_file(self.path + "da_composition_2.txt",
ly[2], self.eps))
def test_05_SubstBunch(self):
da = tpsa.base()
x = 1 + da[0] + 2 * da[1] + 5 * da[2]
y = tpsa.exp(x)
z = tpsa.assign()
idx = [0, 1]
lv = tpsa.assign(2)
lv[0] = tpsa.sin(x)
lv[1] = tpsa.cos(x)
lx = tpsa.assign(3)
lx[0] = x
lx[1] = y
lx[2] = tpsa.sinh(x)
ly = tpsa.assign(3)
tpsa.da_substitute(lx, idx, lv, ly)
self.assertTrue(
tpsa.compare_da_with_file(self.path + "bunch_substitution_0.txt",
ly[0], self.eps))
self.assertTrue(
tpsa.compare_da_with_file(self.path + "bunch_substitution_1.txt",
ly[1], self.eps))
self.assertTrue(
tpsa.compare_da_with_file(self.path + "bunch_substitution_2.txt",
ly[2], self.eps))
import pybind11
import tpsa
from math import *
tpsa.da_init(4, 3, 1000)
da = tpsa.base()
x1 = da[0] + 2 * da[1] + 3 * da[2]
x2 = tpsa.sin(x1)
x1 = tpsa.cos(x1)
x3 = 0.5 * da[0] + 4 * da[1] + 2.7 * da[2]
x4 = tpsa.sin(x3)
x3 = tpsa.cos(x3)
y1 = tpsa.complex(x1, x2)
y2 = tpsa.complex(x3, x4)
mmap = tpsa.assign(2)
mmap[0] = x1
mmap[1] = x2
c1 = complex(4.2, 0.3)
c2 = complex(1 / 3.0, sqrt(2))
c3 = complex(sin(0.7), cos(0.4))
nmap = [c1, c2, c3]
omap = tpsa.da_composition(mmap, nmap)
print('Composition of DA vectors with complex numbers:')
for v in omap:
print(v)
# -*- coding: utf-8 -*-
"""
This example shows how to save a da vector to a file.
"""
import tpsa
import sys
tpsa.da_init(4, 1, 100)
da = tpsa.base()
x = tpsa.sin(1 + da[0])
f = open("da_output.txt", "w")
ori_stdout = sys.stdout
sys.stdout = f
tpsa.print(x)
sys.stdout = ori_stdout
f.close()
# -*- coding: utf-8 -*- """ This example shows how to create a DA vector x than only contains one variable and calculate sin(x). Results are printed to screen. """ import pybind11 import tpsa tpsa.da_init(4, 1, 129) da = tpsa.base() x = 1 + da[0] y = tpsa.sin(x) x.print() y.print()