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Use Numba to increase performance.

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This commit is contained in:
bʰedoh₂ swé 2024-04-04 23:03:47 +05:00
parent 359edf4742
commit ac6330efd0
3 changed files with 30 additions and 16 deletions
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30
gyro.py
View File

@ -1,52 +1,61 @@
try:
from numpy import complex256
except ImportError:
from numpy import complex128 as complex256
from numba import jit
from cmath import sqrt
from math import tanh, atanh
from lines import cLineIntersection
@jit
def ZeroCheck(cN):
if cN == complex256(complex(0,0)):
return complex256(complex(1,0))
if cN == complex(0,0):
return complex(1,0)
else:
return cN
@jit
def c_tr(cN):
return cN.real, cN.imag
@jit
def cNorm(cN):
return ZeroCheck(cN)/abs(ZeroCheck(cN))
@jit
def cDot(cA, cB):
return (cA * cB.conjugate()).real
@jit
def cDist(cA, cB):
return abs(cA-cB)
@jit
def MobiusInt(cA,cB,cC,cD): # Bruh
return Klein2Poincare(cLineIntersection(Poincare2Klein(cA),Poincare2Klein(cB),Poincare2Klein(cC),Poincare2Klein(cD)))
@jit
def MobiusAdd(cA, cB):
return (cA + cB) / (1 + cA.conjugate() * cB)
@jit
def MobiusGyr(cA, cB):
return (1 + cA * cB.conjugate()) / (1 + cA.conjugate() * cB)
@jit
def MobiusAddGyr(cA, cB):
return MobiusAdd(cA, cB), MobiusGyr(cA, cB)
@jit
def MobiusScalar(cA, rT):
m = abs(cA)
return tanh(rT * atanh(m)) * cA / m
@jit
def MobiusCoadd(cA,cB):
return MobiusAdd(cA, (MobiusGyr(cA,-cB) * cB))
@jit
def MobiusCosub(cA,cB):
return MobiusAdd(cA, -(MobiusGyr(cA,cB) * cB))
@jit
def MobiusLine(cA,cB,rT):
return MobiusAdd(
cA,
@ -54,19 +63,22 @@ def MobiusLine(cA,cB,rT):
MobiusAdd(-cA,cB),
rT))
@jit
def MobiusDist(cA,cB):
return abs(MobiusAdd(-cB,cA))
@jit
def Poincare2Klein(cN):
return 2*cN / (1 + cDot(cN,cN))
@jit
def Klein2Poincare(cN):
return (1-sqrt(1-cDot(cN,cN)))*cN/cDot(cN,cN)
class GyroVector:
def __init__(self, cPos, cRot):
self.cPos = complex256(cPos)
self.cRot = complex256(cRot)
self.cPos = complex(cPos)
self.cRot = complex(cRot)
self.normalize()
def __add__(gA, gB):

6
lines.py
View File

@ -1,14 +1,20 @@
from numba import jit
@jit
def LineIntersection(rX1,rY1,rX2,rY2,rX3,rY3,rX4,rY4):
rX = ( (rX1*rY2-rY1*rX2)*(rX3-rX4)-(rX1-rX2)*(rX3*rY4-rY3*rX4) ) / ( (rX1-rX2)*(rY3-rY4)-(rY1-rY2)*(rX3-rX4) )
rY = ( (rX1*rY2-rY1*rX2)*(rY3-rY4)-(rY1-rY2)*(rX3*rY4-rY3*rX4) ) / ( (rX1-rX2)*(rY3-rY4)-(rY1-rY2)*(rX3-rX4) )
return (rX, rY)
@jit
def cLineIntersection(cA0, cA1, cB0, cB1):
rX, rY = LineIntersection(cA0.real, cA0.imag, cA1.real, cA1.imag, cB0.real, cB0.imag, cB1.real, cB1.imag)
return complex(rX, rY)
@jit
def Between(rA,rB,rN):
return (rA < rN and rN < rB) or (rB < rN and rN < rA)
@jit
def cBetween(cA,cB,cN):
return Between(cA.real,cB.real,cN.real) and Between(cA.imag,cB.imag,cN.imag)

10
main.py
View File

@ -1,9 +1,5 @@
#!/usr/bin/env python3
try:
from numpy import complex256
except ImportError:
from numpy import complex128 as complex256
print("Warning! Cannot use full precision!")
from numba import jit
from time import time_ns, sleep
from cmath import exp, pi
@ -15,7 +11,7 @@ from lines import *
def deg2rad(rA): return rA/180*PI
I = complex256(complex(0,1))
I = complex(0,1)
WHITE = (255,255,255)
BLACK = (0,0,0)
OFFSET = 0.015625
@ -25,7 +21,7 @@ IROT = 1/ROT
F = 5 * 10**7
F_ = 10**9
gOrigin = GyroVector(complex256(0),1)
gOrigin = GyroVector(0,1)
SKY = (127,127,255)
GROUND = (102, 51, 0)