def dampp(alpha):
'dampp functon'
a = np.array([[-.267, -.110, .308, 1.34, 2.08, 2.91, 2.76, 2.05, 1.50, 1.49, 1.83, 1.21], \
[.882, .852, .876, .958, .962, .974, .819, .483, .590, 1.21, -.493, -1.04], \
[-.108, -.108, -.188, .110, .258, .226, .344, .362, .611, .529, .298, -2.27], \
[-8.80, -25.8, -28.9, -31.4, -31.2, -30.7, -27.7, -28.2, -29.0, -29.8, -38.3, -35.3], \
[-.126, -.026, .063, .113, .208, .230, .319, .437, .680, .100, .447, -.330], \
[-.360, -.359, -.443, -.420, -.383, -.375, -.329, -.294, -.230, -.210, -.120, -.100], \
[-7.21, -.540, -5.23, -5.26, -6.11, -6.64, -5.69, -6.00, -6.20, -6.40, -6.60, -6.00], \
[-.380, -.363, -.378, -.386, -.370, -.453, -.550, -.582, -.595, -.637, -1.02, -.840], \
[.061, .052, .052, -.012, -.013, -.024, .050, .150, .130, .158, .240, .150]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
k = k + 3
l = l + 3
d = np.zeros((9, ))
for i in range(9):
d[i] = a[k - 1, i] + abs(da) * (a[l - 1, i] - a[k - 1, i])
return d
def cn(alpha, beta):
'cn function'
a = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], \
[.018, .019, .018, .019, .019, .018, .013, .007, .004, -.014, -.017, -.033], \
[.038, .042, .042, .042, .043, .039, .030, .017, .004, -.035, -.047, -.057], \
[.056, .057, .059, .058, .058, .053, .032, .012, .002, -.046, -.071, -.073], \
[.064, .077, .076, .074, .073, .057, .029, .007, .012, -.034, -.065, -.041], \
[.074, .086, .093, .089, .080, .062, .049, .022, .028, -.012, -.002, -.013], \
[.079, .090, .106, .106, .096, .080, .068, .030, .064, .015, .011, -.001]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = .2 * abs(beta)
m = fix(s)
if m == 0:
m = 1
if m >= 6:
m = 5
db = s - m
n = m + fix(1.1 * sign(db))
l = l + 3
k = k + 3
m = m + 1
n = n + 1
t = a[k-1, m-1]
u = a[k-1, n-1]
v = t + abs(da) * (a[l-1, m-1] - t)
w = u + abs(da) * (a[l-1, n-1] - u)
dum = v + (w - v) * abs(db)
return dum * sign(beta)
def dldr(alpha, beta):
'dldr function'
a = np.array([[.005, .017, .014, .010, -.005, .009, .019, .005, -.000, -.005, -.011, .008], \
[.007, .016, .014, .014, .013, .009, .012, .005, .000, .004, .009, .007], \
[.013, .013, .011, .012, .011, .009, .008, .005, -.002, .005, .003, .005], \
[.018, .015, .015, .014, .014, .014, .014, .015, .013, .011, .006, .001], \
[.015, .014, .013, .013, .012, .011, .011, .010, .008, .008, .007, .003], \
[.021, .011, .010, .011, .010, .009, .008, .010, .006, .005, .000, .001], \
[.023, .010, .011, .011, .011, .010, .008, .010, .006, .014, .020, .000]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = .1 * beta
m = fix(s)
if m <= -3:
m = -2
if m >= 3:
m = 2
db = s - m
n = m + fix(1.1 * sign(db))
l = l + 3
k = k + 3
m = m + 4
n = n + 4
t = a[k - 1, m - 1]
u = a[k - 1, n - 1]
v = t + abs(da) * (a[l - 1, m - 1] - t)
w = u + abs(da) * (a[l - 1, n - 1] - u)
return v + (w - v) * abs(db)
def cl(alpha, beta):
'cl function'
a = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], \
[-.001, -.004, -.008, -.012, -.016, -.022, -.022, -.021, -.015, -.008, -.013, -.015], \
[-.003, -.009, -.017, -.024, -.030, -.041, -.045, -.040, -.016, -.002, -.010, -.019], \
[-.001, -.010, -.020, -.030, -.039, -.054, -.057, -.054, -.023, -.006, -.014, -.027], \
[.000, -.010, -.022, -.034, -.047, -.060, -.069, -.067, -.033, -.036, -.035, -.035], \
[.007, -.010, -.023, -.034, -.049, -.063, -.081, -.079, -.060, -.058, -.062, -.059], \
[.009, -.011, -.023, -.037, -.050, -.068, -.089, -.088, -.091, -.076, -.077, -.076]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = .2 * abs(beta)
m = fix(s)
if m == 0:
m = 1
if m >= 6:
m = 5
db = s - m
n = m + fix(1.1 * sign(db))
l = l + 3
k = k + 3
m = m + 1
n = n + 1
t = a[k - 1, m - 1]
u = a[k - 1, n - 1]
v = t + abs(da) * (a[l - 1, m - 1] - t)
w = u + abs(da) * (a[l - 1, n - 1] - u)
dum = v + (w - v) * abs(db)
return dum * sign(beta)
def cm(alpha, el):
'cm function'
a = np.array([[.205, .168, .186, .196, .213, .251, .245, .238, .252, .231, .198, .192], \
[.081, .077, .107, .110, .110, .141, .127, .119, .133, .108, .081, .093], \
[-.046, -.020, -.009, -.005, -.006, .010, .006, -.001, .014, .000, -.013, .032], \
[-.174, -.145, -.121, -.127, -.129, -.102, -.097, -.113, -.087, -.084, -.069, -.006], \
[-.259, -.202, -.184, -.193, -.199, -.150, -.160, -.167, -.104, -.076, -.041, -.005]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = el / 12
m = fix(s)
if m <= -2:
m = -1
if m >= 2:
m = 1
de = s - m
n = m + fix(1.1 * sign(de))
k = k + 3
l = l + 3
m = m + 3
n = n + 3
t = a[k-1, m-1]
u = a[k-1, n-1]
v = t + abs(da) * (a[l-1, m-1] - t)
w = u + abs(da) * (a[l-1, n-1] - u)
return v + (w - v) * abs(de)
def dlda(alpha, beta):
'dlda function'
a = np.array([[-.041, -.052, -.053, -.056, -.050, -.056, -.082, -.059, -.042, -.038, -.027, -.017], \
[-.041, -.053, -.053, -.053, -.050, -.051, -.066, -.043, -.038, -.027, -.023, -.016], \
[-.042, -.053, -.052, -.051, -.049, -.049, -.043, -.035, -.026, -.016, -.018, -.014], \
[-.040, -.052, -.051, -.052, -.048, -.048, -.042, -.037, -.031, -.026, -.017, -.012], \
[-.043, -.049, -.048, -.049, -.043, -.042, -.042, -.036, -.025, -.021, -.016, -.011], \
[-.044, -.048, -.048, -.047, -.042, -.041, -.020, -.028, -.013, -.014, -.011, -.010], \
[-.043, -.049, -.047, -.045, -.042, -.037, -.003, -.013, -.010, -.003, -.007, -.008]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = .1 * beta
m = fix(s)
if m <= -3:
m = -2
if m >= 3:
m = 2
db = s - m
n = m + fix(1.1 * sign(db))
l = l + 3
k = k + 3
m = m + 4
n = n + 4
t = a[k - 1, m - 1]
u = a[k - 1, n - 1]
v = t + abs(da) * (a[l - 1, m - 1] - t)
w = u + abs(da) * (a[l - 1, n - 1] - u)
return v + (w - v) * abs(db)
def dndr(alpha, beta):
'dndr function'
a = np.array([[-.018, -.052, -.052, -.052, -.054, -.049, -.059, -.051, -.030, -.037, -.026, -.013], \
[-.028, -.051, -.043, -.046, -.045, -.049, -.057, -.052, -.030, -.033, -.030, -.008], \
[-.037, -.041, -.038, -.040, -.040, -.038, -.037, -.030, -.027, -.024, -.019, -.013], \
[-.048, -.045, -.045, -.045, -.044, -.045, -.047, -.048, -.049, -.045, -.033, -.016], \
[-.043, -.044, -.041, -.041, -.040, -.038, -.034, -.035, -.035, -.029, -.022, -.009], \
[-.052, -.034, -.036, -.036, -.035, -.028, -.024, -.023, -.020, -.016, -.010, -.014], \
[-.062, -.034, -.027, -.028, -.027, -.027, -.023, -.023, -.019, -.009, -.025, -.010]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = .1 * beta
m = fix(s)
if m <= -3:
m = -2
if m >= 3:
m = 2
db = s - m
n = m + fix(1.1 * sign(db))
l = l + 3
k = k + 3
m = m + 4
n = n + 4
t = a[k - 1, m - 1]
u = a[k - 1, n - 1]
v = t + abs(da) * (a[l - 1, m - 1] - t)
w = u + abs(da) * (a[l - 1, n - 1] - u)
return v + (w - v) * abs(db)
def cx(alpha, el):
'cx definition'
a = np.array([[-.099, -.081, -.081, -.063, -.025, .044, .097, .113, .145, .167, .174, .166], \
[-.048, -.038, -.040, -.021, .016, .083, .127, .137, .162, .177, .179, .167], \
[-.022, -.020, -.021, -.004, .032, .094, .128, .130, .154, .161, .155, .138], \
[-.040, -.038, -.039, -.025, .006, .062, .087, .085, .100, .110, .104, .091], \
[-.083, -.073, -.076, -.072, -.046, .012, .024, .025, .043, .053, .047, .040]], dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
s = el / 12
m = fix(s)
if m <= -2:
m = -1
if m >= 2:
m = 1
de = s - m
n = m + fix(1.1 * sign(de))
k = k + 3
l = l + 3
m = m + 3
n = n + 3
t = a[k - 1, m - 1]
u = a[k - 1, n - 1]
v = t + abs(da) * (a[l - 1, m - 1] - t)
w = u + abs(da) * (a[l - 1, n - 1] - u)
cxx = v + (w - v) * abs(de)
return cxx
def cz(alpha, beta, el):
'cz function'
a = np.array([.770, .241, -.100, -.415, -.731, -1.053, -1.355, -1.646, -1.917, -2.120, -2.248, -2.229], \
dtype=float).T
s = .2 * alpha
k = fix(s)
if k <= -2:
k = -1
if k >= 9:
k = 8
da = s - k
l = k + fix(1.1 * sign(da))
l = l + 3
k = k + 3
s = a[k-1] + abs(da) * (a[l-1] - a[k-1])
return s * (1 - (beta / 57.3)**2) - .19 * (el / 25)