def test_get_labels():
X = ADnum(1, der=1)
Y = ADmath.sin(X) + 3
labs = ADgraph.get_labels(Y)
assert labs[X] == 'X0'
assert labs[Y] == 'X2'
assert len(labs) == 4
def test_get_colorsandsizes():
X = ADnum(1, der=1)
Y = ADmath.sin(X) + 3
labs = ADgraph.get_labels(Y)
G = ADgraph.gen_graph(Y)
cols = ADgraph.get_colors(G, Y)
sizes = ADgraph.get_sizes(G, Y, labs)
assert len(cols) == 4
assert len(sizes) == 4
def test_ADmath_tanh():
f = ADmath.tanh(ADnum(-5, der=1))
assert f.val == np.tanh(-5)
assert f.der == 1 / (np.cosh(-5)**2)
assert len(f.graph) == 1
def test_gen_table():
X = ADnum(1, der=1)
Y = ADmath.sin(X) + 3
dat = ADgraph.gen_table(Y)
assert type(dat) == pandas.core.frame.DataFrame
def test_2xe2x():
x = ADnum(2, der=1)
f = 2 * x * ADmath.exp(2 * x)
assert f.val == 4 * np.exp(4)
assert f.der == 2 * np.exp(4.0) + 8 * np.exp(4)
def test_5x2lnx():
x = ADnum(1, der=1)
f = 5 * x**2 * ADmath.log(x)
assert f.val == 0.0
assert f.der == 10 * 1.0 * np.log(1.0) + 5 * 1.0
def test_ADmath_sqrtr():
f = ADmath.sqrt(40)
assert f == np.sqrt(40)
def test_ADmath_expr():
f = ADmath.exp(-3)
assert f == np.exp(-3)
def test_ADmath_tanr():
f = ADmath.tan(4)
assert f == np.tan(4)
def test_ADmath_cosr():
f = ADmath.cos(4)
assert f == np.cos(4)
def test_ADmath_sinr():
X = np.pi
Y = ADmath.sin(X)
assert Y == np.sin(np.pi)
def test_ADmath_sqrt():
f = ADmath.sqrt(ADnum(40, der=1))
assert f.val == np.sqrt(40)
assert f.der == 1 / (2 * np.sqrt(40))
assert len(f.graph) == 1
def test_ADmath_logistic():
f = ADmath.logistic(ADnum(0, der=1))
assert f.val == .5
assert f.der == .25
def test_ADmath_log():
f = ADmath.log(ADnum(72, der=1))
assert f.val == np.log(72)
assert f.der == 1 / 72
assert len(f.graph) == 1
def test_ADmath_exp():
f = ADmath.exp(ADnum(-3, der=1))
assert f.val == np.exp(-3)
assert f.der == np.exp(-3)
assert len(f.graph) == 1
def test_ADmath_coshr():
f = ADmath.cosh(3)
assert f == np.cosh(3)
def test_ADmath_tanhr():
f = ADmath.tanh(-5)
assert f == np.tanh(-5)
def test_ADmath_cscr():
f = ADmath.csc(5)
assert f == 1 / np.sin(5)
def test_ADmath_logr():
f = ADmath.log(72)
assert f == np.log(72)
def test_ADmath_secr():
f = ADmath.sec(6)
assert f == 1 / np.cos(6)
def test_xex():
x = ADnum(2, der=1)
f = x * ADmath.exp(x)
assert f.val == 2.0 * np.exp(2.0)
assert f.der == np.exp(2.0) + 2.0 * np.exp(2.0)
def test_ADmath_cotr():
f = ADmath.cot(1)
assert f == 1 / np.tan(1)
def test_sinxcosx():
x = ADnum(0, der=1)
f = ADmath.sin(x) * ADmath.cos(x)
assert f.val == np.sin(0) * np.cos(0)
assert f.der == -(np.sin(0)**2) + np.cos(0)**2
def test_ADmath_arcsinr():
f = ADmath.arcsin(.2)
assert f == np.arcsin(.2)
def test_ADmath_arccosr():
f = ADmath.arccos(.3)
assert f == np.arccos(.3)
def test_ADmath_arctanr():
f = ADmath.arctan(1)
assert f == np.arctan(1)
def test_draw_graph():
X = ADnum(1, der=1)
Y = ADmath.sin(X) + 3
fig = ADgraph.draw_graph(Y)
assert type(fig) == matplotlib.figure.Figure
def test_ADmath_sinhr():
f = ADmath.sinh(2)
assert f == np.sinh(2)
def Y(x):
return ADmath.sin(x)
def test_ADmath_cosh():
f = ADmath.cosh(ADnum(3, der=1))
assert f.val == np.cosh(3)
assert f.der == np.sinh(3)
assert len(f.graph) == 1