Created
August 6, 2015 12:24
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Vectorization of scipy.integrate.quad function
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"Zach Cano question in Python Astronomer Facebook page" | |
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"import numpy as np\n", | |
"from scipy.integrate import quad\n", | |
"\n", | |
"def A(z,tm,tni):\n", | |
" y=tm/(2*tni)\n", | |
" return 2*z*np.exp((-2*z*y)+(z**2))\n", | |
"\n", | |
"def B(z,tm,tni,tco):\n", | |
" y=tm/(2*tni)\n", | |
" s=(tm*(tco-tni))/(2*tco*tni)\n", | |
" return 2*z*np.exp(-2*z*y+2*z*s+z**2)\n", | |
"\n", | |
"def Arnett(t,tm,tni,tco,Mni,Eni,Eco): \n", | |
" x=t/tm\n", | |
" f,jk=quad(A,0, x, args=(tm,tni,)) #integral of A\n", | |
" h,jk=quad(B,0, x, args=(tm,tni,tco,)) #integral of B\n", | |
" g=np.exp((-(x/tm)**2))\n", | |
" return Mni*g*((Eni-Eco)*f+Eco*h)\n", | |
"\n", | |
"#MAGIC BIT\n", | |
"Arnt = np.vectorize(Arnett)\n", | |
"\n", | |
"#Fiducial values to test the code\n", | |
"t = np.linspace(-10,10,100)\n", | |
"z = np.linspace(-1,1,100)\n", | |
"quad( A, 0, 2, args=(1,1,))\n", | |
"\n", | |
"#Your final result still function of t\n", | |
"Arnt(t, 1, 1, 1, 1, 1, 1 )" | |
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