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vector.py
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vector.py
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#! /usr/bin/env/python
class Vector:
dim=1
def __init__(self,dm=None,coords=None,):
if coords is None:
if dm is None:
self.dim=Vector.dim
else:
self.dim=dm
self.coords=[float(0) for d in range(self.dim)]
elif isinstance(coords,list):
self.dim=len(coords)
self.coords=[float(c) for c in coords]
else:
self.dim=1
self.coords=coords
def NewCoords(self,coords):
self.dim=len(coords)
self.coords=[float(c) for c in coords]
return(self)
def length(self):
len=float(0)
for i in range(self.dim):
len+=self.coords[i]**2
len=len**0.5
return(len)
def __getitem__(self,i):
return(self.coords[i])
def __setitem__(self,i,x):
self.coords[i]=x
def __str__(self):
return(str(self.coords))
def __repr__(self):
return('Vector('+str(self.coords)+')')
def __neg__(self):
vsig=Vector()
for i in range(self.dim):
vsig.coords[i]=-self.coords[i]
return(vsig)
def __pos__(self):
return self.coords
def __pow__(self,other):
if isinstance(other,float) or isinstance(other,int):
vpow=Vector()
vpow.NewCoords(self.coords.copy())
for i in range(int(self.dim)):
vpow[i]**=other
else:
raise TypeError(other)
return(vpow)
def __rpow__(self,other):
if isinstance(other,float) or isinstance(other,int):
vpow=Vector([other for x in range(self.dim)])
for i in range(int(self.dim)):
vpow[i]**=self.coords[i]
else:
raise TypeError(other)
return(vpow)
def __add__(self,other):
vsum=Vector()
if isinstance(other, Vector):
if self.dim>=other.dim:
vsum.NewCoords(self.coords.copy())
for i in range(int(other.dim)):
vsum[i]+=other.coords[i]
else:
vsum.NewCoords(other.coords.copy())
for i in range(int(self.dim)):
vsum[i]+=self.coords[i]
elif isinstance(other,float) or isinstance(other, int):
vsum.NewCoords(self.coords.copy())
for i in range(int(self.dim)):
vsum[i]+=other
else:
raise TypeError(other)
return(vsum)
def __radd__(self, other):
return(self + other)
def __sub__(self,other):
vsum=Vector()
if isinstance(other, Vector):
if self.dim>=other.dim:
vsum.NewCoords(self.coords.copy())
for i in range(int(other.dim)):
vsum[i]-=other.coords[i]
else:
vsum.NewCoords(-(other.coords))
for i in range(int(self.dim)):
vsum[i]+=self.coords[i]
elif isinstance(other,float) or isinstance(other, int):
vsum.NewCoords(self.coords.copy())
for i in range(int(self.dim)):
vsum[i]-=other
else:
raise TypeError(other)
return(vsum)
def __mul__(self,other):
if isinstance(other, Vector):
vmul=0
if self.dim<=other.dim:
for i in range(int(self.dim)):
vmul+=self.coords[i]*other.coords[i]
else:
for i in range(int(other.dim)):
vmul+=other.coords[i]*self.coords[i]
elif isinstance(other,float) or isinstance(other,int):
vmul=Vector()
vmul.NewCoords(self.coords.copy())
for i in range(int(self.dim)):
vmul[i]*=other
else:
raise TypeError(other)
return(vmul)
def __rmul__(self,other):
return(self*other)
def __div__(self,other):
if other==0:
raise ZeroDivisionError(other)
if isinstance(other,float) or isinstance(other,int):
vmul=Vector()
vmul.NewCoords(self.coords.copy())
for i in range(int(self.dim)):
vmul[i]/=other
else:
raise TypeError(other)
return(vmul)
def __rdiv__(self,other):
return(self/other)
def __eq__(self,other):
if isinstance(other,Vector):
return(self.coords==other.coords)
elif isinstance(other,list):
return(self.coords==other)
elif self.dim==1 and isinstance(other,int):
return(self.coords[0]==other)
elif self.coords==[] and not other:
return(True)
else:
return(False)
def Random(self,dims,scale):
import random
self.dim=dims
if not self.dim==0:
self.coords=[]
for i in range(self.dim):
self.coords.append(scale*random.uniform(-1.0,1.0))
return(self)
def UnitVector(self):
if self.length()==0:
return(self)
uni=Vector()
uni.NewCoords(self.coords.copy())
for i in range(self.dim):
uni[i]/=self.length()
return(uni)