def sector_area():
r = enput("Radius: ", float)
t = enput("Radians or Degrees: ", str).lower()
if t[0] == "r":
print("Sector Area is\n%f" % ((r**2 * __promptt(t)) / 2))
else:
print("Sector Area is\n%f" % (pi * (r**2) * (__promptt(t) / 360)))
def inf():
operators = [1, -1]
n = enput("Number of Vectors: ", int)
t = enput("Type of Vector: ", str).lower()
o = operators["+-".index(enput("Addition (+)\nor Subtraction (-): ", str))]
i = 0
s = [0, 0, 0]
d = 0
m = []
if t[0] == "u" or t[0] == "v":
while i < n:
m.append(__enter_vector("Enter Vector"))
d = len(m[i])
s[0] += m[i][0] * (o if i != 0 else 1)
s[1] += m[i][1] * (o if i != 0 else 1)
s[2] += (m[i][2] * (o if i != 0 else 1) if len(m[i]) > 2 else 0)
i += 1
elif t[0] == "p":
d = 2
while i < n:
m = enput("Enter Magnitude: ", float)
a = radians(__prompta("Enter Angle in Degrees: "))
s[0] += (m * cos(a)) * (o if i != 0 else 1)
s[1] += (m * sin(a)) * (o if i != 0 else 1)
i += 1
else:
print("Incorrect Vector Type")
print(
"Resultant Vector:\n%s\nResultant Magnitude:\n%f\nResultant Angle:\n%s"
% (__printv(s), __find_mag(s), __give_angles(s[0], s[1], s[2], d)))
def arc_length():
r = enput("Radius: ", float)
t = enput("Radians or Degrees: ", str).lower()
if t[0] == "r":
print("Arc length of the Circle is\n%f" % (r * __promptt(t)))
else:
print("Arc Length of the Circle is\n%f" % (2 * pi * r *
(__promptt(t) / 360)))
def chord():
r = enput("Radius: ", float)
t = enput("Radians or Degrees: ", str).lower()
if t[0] == "r":
print("Chord Length of the Circle is\n%f" %
(2 * r * sin(__promptt(t) / 2)))
else:
print("Chord Length of the Circle is\n%f" %
(2 * r * sin(radians(__promptt(t)) / 2)))
def __enter_mag_and_angle():
angle = enput("enter angle: ", float)
if angle - 0.01 >= 2 * pi or angle + 0.01 <= -2 * pi: # comparing floats with an accuracy of 0.01
angle = radians(angle)
print("assuming degrees")
else:
print("assuming radians")
mag = enput("enter magnitude: ", float)
return [mag * cos(angle), mag * sin(angle)]
def conv():
s = enput("Converting from: ", str).lower()
t = enput("To: ", str).lower()
if s[0] == "p" and (t[0] == "u" or t[0] == "v"):
m = enput("Magnitude: ", float)
a = __prompta("Angle in Degrees: ")
print("<%fi %fj>" % (m * cos(radians(a)), m * sin(radians(a))))
if (s[0] == "v" or s[0] == "u") and t[0] == "p":
x = enput("x=", float)
y = enput("y=", float)
a = atan2(y, x)
M = y / sin(a) if x == 0 else x / cos(a)
print("Magnitude=%f\nAngle=%f" % (M, degrees(a)))
def __promptt(z):
if z.lower()[0] == "d":
a = enput("Enter Angle in Degrees: ", str)
angles = {
"N": 90,
"S": 270,
"E": 0,
"W": 180,
"NE": 45,
"SE": 315,
"NW": 135,
"SW": 225
}
try:
return angles[a.upper()]
finally:
return float(a)
else:
return enput("Enter in Radians: ", float)
def __combine_com(dense=False):
num_objs = enput("how many objects? ", int)
objs_coords = []
objs_mass = []
objs_dense = []
for i in range(0, num_objs):
coords = enput_list("coordinates of object: ", float)
mass = enput("mass of object: ", float)
objs_coords.append(coords)
objs_mass.append(mass)
for coord_place in range(0, len(objs_coords[0])):
cm = 0
total_mass = 0
for obj_place in range(0, len(objs_coords)):
cm += objs_mass[obj_place] * objs_coords[obj_place][coord_place]
total_mass += objs_mass[obj_place]
cm /= total_mass
print("cm: " + str(cm))
def __prompta(o):
a = enput(o, str)
angles = {
"N": 90,
"S": 270,
"E": 0,
"W": 180,
"NE": 45,
"NW": 135,
"SE": 315,
"SW": 225
}
try:
return float(angles[a.upper()])
except:
return float(a)
def work_from_velocity():
vf = enput("vf (m/s): ", float)
vi = enput("vi (m/s): ", float)
m = enput("mass (kg): ", float)
print("W = " + str((m / 2) * (vf**2 - vi**2)))
def work_from_distance():
kx = enput("kx: ", float)
xi = enput("xi (m): ", float)
xf = enput("xf (m): ", float)
print("W = " + str((kx / 2) * (xi**2 - xf**2)))
def circumference():
r = enput("Radius: ", float)
print("Circumference of the Circle is\n%f" % (2 * pi * r))
def area():
r = enput("Radius: ", float)
print("Area of the Circle is\n%f" % (pi * r**2))
def __enter_matrix():
matrix = []
for _ in range(enput("number of rows: ", int)):
matrix.append(enput_list("enter row: ", float))
return matrix