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Vector class
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#python | |
import math | |
class vector(object): | |
"""vector([x,y,z]) -> create a vector object in 3D space.""" | |
def __init__(self, data): | |
self.data = data | |
if len(self.data) != 3: | |
raise ValueError("Expecting a 3D vector -> [x,y,z]") | |
def __repr__(self): | |
return repr(self.data) | |
def __getitem__(self, index): | |
"""vector[i] -> return the value of the given index i""" | |
return self.data[index] | |
def __len__(self): | |
return len(self.data) | |
def __add__(self, other): | |
data = [] | |
for i in range(len(self.data)): | |
data.append(self.data[i] + other.data[i]) | |
return vector(data) | |
def __sub__(self, other): | |
data = [] | |
for i in range(len(self.data)): | |
data.append(self.data[i] - other.data[i]) | |
return vector(data) | |
def __mul__(self, other): | |
data = [] | |
try: | |
for i in range(len(self.data)): | |
data.append(self.data[i] * other.data[i]) | |
except AttributeError: | |
for i in range(len(self.data)): | |
data.append(self.data[i] * other) | |
return vector(data) | |
def __truediv__(self, other): | |
data = [] | |
try: | |
for i in range(len(self.data)): | |
data.append(self.data[i]/other.data[i]) | |
except AttributeError: | |
for i in range(len(self.data)): | |
data.append(self.data[i]/other) | |
return vector(data) | |
def __pow__(self, power): | |
data = [] | |
for i in range(len(self.data)): | |
data.append(self.data[i]**power) | |
return vector(data) | |
### Functions ### | |
def cross(vector01, vector02): | |
"""Cross product of two vectors""" | |
data = [] | |
try: | |
if len(vector01) == len(vector02) and len(vector01) == 3: | |
x = vector01[1]*vector02[2] - vector01[2]*vector02[1] | |
y = vector01[2]*vector02[0] - vector01[0]*vector02[2] | |
z = vector01[0]*vector02[1] - vector01[1]*vector02[0] | |
return vector([x,y,z]) | |
else: | |
pass | |
except AttributeError: | |
for i in range(len(vector01)): | |
data.append(vector01[i] * other) | |
return vector(data) | |
def dot(vector01, vector02): | |
"""vector01.dot(vector02) -> return the dot product of two vectors""" | |
data = [] | |
for i in range(len(vector01)): | |
data.append(vector01[i] * vector02[i]) | |
return sum(data) | |
def length(vector01): | |
"""return the length of a vector""" | |
return math.sqrt(vector01.data[0]**2 + vector01.data[1]**2 + vector01.data[2]**2) | |
def angle(vector01, vector02): | |
"""Angle between two vectors in degrees""" | |
return math.degrees(math.acos(dot(vector01, vector02) / (length(vector01) * length(vector02)))) | |
def sqrt(vector01): | |
data = [] | |
for i in range(len(vector01)): | |
data.append(math.sqrt(vector01[i])) | |
return vector(data) |
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