def g(s,x,e,p,diff=False):
if diff:
[y,y_s,y_x] = aa(s,x,p,diff=True)
[S,S_s,S_x,S_y,S_e] = gg(s,x,y,e,p,diff=True)
S_s = S_s + serial_mult(S_y,y_s)
S_x = S_x + serial_mult(S_y,y_x)
return [S,S_s,S_x,S_e]
y = aa(s,x,p)
S = gg(s,x,y,e,p)
return S
def expectation(S,X,p,diff=False):
if diff:
[y,y_S,y_X] = aa(S,X,p,diff=True)
[z, z_S, z_X, z_Y] = hh(S,X,Y,p,diff=True)
z_S = z_S + serial_mult(z_Y,Y_S)
z_X = z_X + serial_mult(z_Y,Y_X)
return [z, z_S, z_X]
Y = aa(S,X,p)
z = hh(S,X,Y,p)
return z
def g(s, x, e, p, derivs=False):
if derivs:
[y, y_s, y_x] = aa(s, x, p, derivs=True)
[S, S_s, S_x, S_y, S_e] = gg(s, x, y, e, p, derivs=True)
S_s = S_s + serial_mult(S_y, y_s)
S_x = S_x + serial_mult(S_y, y_x)
return [S, S_s, S_x, S_e]
y = aa(s, x, p)
S = gg(s, x, y, e, p)
return S
def value(s,x,S,X,V,p,diff=False):
if diff:
[y,y_s,y_x] = aa(s,x,p,diff=True)
[y,y_S,y_X] = aa(S,X,p,diff=True)
[v, v_s, v_x, v_y, v_S, v_X, v_Y, v_V] = vv(s,x,y,S,X,Y,V,p,diff=True)
v_s = v_s + serial_mult(v_y,y_s)
v_x = v_x + serial_mult(v_y,y_x)
v_S = v_S + serial_mult(v_Y,Y_S)
v_X = v_X + serial_mult(v_Y,Y_X)
return [v, v_s, v_x, v_S, v_X, v_V]
y = aa(s,x,p)
Y = aa(S,X,p)
v = vv(s,x,y,S,X,Y,V,p)
return v
def f(s,x,E,S,X,p,diff=False):
if diff:
[y,y_s,y_x] = aa(s,x,p,diff=True)
[Y,Y_S,Y_X] = aa(S,X,p,diff=True)
[r,r_s,r_x,r_y,r_E,r_S,r_X,r_Y] = ff(s,x,y,E,S,X,Y,p,diff=True)
r_s = r_s + serial_mult(r_y,y_s)
r_x = r_x + serial_mult(r_y,y_x)
r_S = r_S + serial_mult(r_Y,Y_S)
r_X = r_X + serial_mult(r_Y,Y_X)
return [r, r_s, r_x, r_E, r_S, r_X]
y = aa(s,x,p)
Y = aa(S,X,p)
r = ff(s,x,y,E,S,X,Y,p)
return r
def f(s, x, S, X, p, derivs=False):
if derivs:
[y, y_s, y_x] = aa(s, x, p, derivs=True)
[Y, Y_S, Y_X] = aa(S, X, p, derivs=True)
[r, r_s, r_x, r_y, r_S, r_X, r_Y] = ff(s,
x,
y,
S,
X,
Y,
p,
derivs=True)
r_s = r_s + serial_mult(r_y, y_s)
r_x = r_x + serial_mult(r_y, y_x)
r_S = r_S + serial_mult(r_Y, Y_S)
r_X = r_X + serial_mult(r_Y, Y_X)
return [r, r_s, r_x, r_S, r_X]
y = aa(s, x, p)
Y = aa(S, X, p)
r = ff(s, x, y, S, X, Y, p)
return r