def sin(X):
try:
y = ADnum(np.sin(X.val), der=np.cos(X.val) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'sin'))
return y
except AttributeError:
return np.sin(X)
def arccos(X):
try:
y = ADnum(np.arccos(X.val), der=-1 / np.sqrt(1 - X.val**2) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'arccos'))
return y
except AttributeError:
return np.arccos(X)
def sec(X):
try:
y = ADnum(1 / np.cos(X.val), der=np.tan(X.val) / np.cos(X.val) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'sec'))
return y
except AttributeError:
return 1 / np.cos(X)
def cot(X):
try:
y = ADnum(1 / np.tan(X.val), der=-1 / (np.sin(X.val)**2) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'cot'))
return y
except AttributeError:
return 1 / np.tan(X)
def sqrt(X):
try:
y = ADnum(np.sqrt(X.val), der=X.der / (2 * np.sqrt(X.val)))
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'sqrt'))
return y
except AttributeError:
return np.sqrt(X)
def log(X):
try:
y = ADnum(np.log(X.val), der=1 / X.val * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'log'))
return y
except AttributeError:
return np.log(X)
def tanh(X):
try:
y = ADnum(np.tanh(X.val), der=1 / (np.cosh(X.val)**2) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'tanh'))
return y
except AttributeError:
return np.tanh(X)
def arctan(X):
try:
y = ADnum(np.arctan(X.val), der=1 / (1 + X.val**2) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'arctan'))
return y
except AttributeError:
return np.arctan(X)
def csc(X):
try:
y = ADnum(1 / np.sin(X.val),
der=(-1 / np.tan(X.val)) * (1 / np.sin(X.val)) * X.der)
y.graph = X.graph
if X not in y.graph:
y.graph[X] = []
y.graph[X].append((y, 'csc'))
return y
except:
return 1 / np.sin(X)
