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#!/usr/bin/env python3
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#
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# TrouNoir model using PyOpenCL or PyCUDA
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#
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# CC BY-NC-SA 2019 : <emmanuel.quemener@ens-lyon.fr>
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#
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# Thanks to Andreas Klockner for PyOpenCL and PyCUDA:
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# http://mathema.tician.de/software/pyopencl
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#
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# Original code programmed in Fortran 77 in mars 1994
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# for Practical Work of Numerical Simulation
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# DEA (old Master2) in astrophysics and spatial techniques in Meudon
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# by Herve Aussel & Emmanuel Quemener
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#
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# Conversion in C done by Emmanuel Quemener in august 1997
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# GPUfication in OpenCL under Python in july 2019
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# GPUfication in CUDA under Python in august 2019
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#
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# Thanks to :
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#
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# - Herve Aussel for his part of code of black body spectrum
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# - Didier Pelat for his help to perform this work
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# - Jean-Pierre Luminet for his article published in 1979
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# - Numerical Recipies for Runge Kutta recipies
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# - Luc Blanchet for his disponibility about my questions in General Relativity
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# - Pierre Lena for his passion about science and vulgarisation
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# If crash on OpenCL Intel implementation, add following options and force
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#export PYOPENCL_COMPILER_OUTPUT=1
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#export CL_CONFIG_USE_VECTORIZER=True
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#export CL_CONFIG_CPU_VECTORIZER_MODE=16
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import pyopencl as cl |
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import numpy |
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import time,string |
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from numpy.random import randint as nprnd |
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import sys |
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import getopt |
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import matplotlib.pyplot as plt |
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from socket import gethostname |
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def DictionariesAPI(): |
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PhysicsList={'Einstein':0,'Newton':1}
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return(PhysicsList)
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#
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# Blank space below to simplify debugging on OpenCL code
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#
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BlobOpenCL= """
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#define PI (float)3.14159265359e0f
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#define nbr 256
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#define EINSTEIN 0
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#define NEWTON 1
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#ifdef SETTRACKPOINTS
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#define TRACKPOINTS SETTRACKPOINTS
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#else
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#define TRACKPOINTS 2048
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#endif
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float atanp(float x,float y)
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{
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float angle;
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angle=atan2(y,x);
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if (angle<0.e0f)
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{
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angle+=(float)2.e0f*PI;
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}
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return angle;
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}
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float f(float v)
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{
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return v;
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}
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#if PHYSICS == NEWTON
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float g(float u,float m,float b)
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{
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return (-u);
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}
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#else
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float g(float u,float m,float b)
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{
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return (3.e0f*m/b*pow(u,2)-u);
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}
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#endif
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void calcul(float *us,float *vs,float up,float vp,
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float h,float m,float b)
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{
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float c0,c1,c2,c3,d0,d1,d2,d3;
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c0=h*f(vp);
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c1=h*f(vp+c0/2.e0f);
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c2=h*f(vp+c1/2.e0f);
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c3=h*f(vp+c2);
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d0=h*g(up,m,b);
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d1=h*g(up+d0/2.e0f,m,b);
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d2=h*g(up+d1/2.e0f,m,b);
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d3=h*g(up+d2,m,b);
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*us=up+(c0+2.e0f*c1+2.e0f*c2+c3)/6.e0f;
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*vs=vp+(d0+2.e0f*d1+2.e0f*d2+d3)/6.e0f;
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}
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void rungekutta(float *ps,float *us,float *vs,
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float pp,float up,float vp,
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float h,float m,float b)
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{
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calcul(us,vs,up,vp,h,m,b);
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*ps=pp+h;
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}
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float decalage_spectral(float r,float b,float phi,
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float tho,float m)
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{
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return (sqrt(1-3*m/r)/(1+sqrt(m/pow(r,3))*b*sin(tho)*sin(phi)));
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}
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float spectre(float rf,int q,float b,float db,
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float h,float r,float m,float bss)
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{
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float flx;
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// flx=exp(q*log(r/m))*pow(rf,4)*b*db*h;
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flx=exp(q*log(r/m)+4.e0f*log(rf))*b*db*h;
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return(flx);
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}
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float spectre_cn(float rf32,float b32,float db32,
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float h32,float r32,float m32,float bss32)
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{
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#define MYFLOAT float
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MYFLOAT rf=(MYFLOAT)(rf32);
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MYFLOAT b=(MYFLOAT)(b32);
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MYFLOAT db=(MYFLOAT)(db32);
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MYFLOAT h=(MYFLOAT)(h32);
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MYFLOAT r=(MYFLOAT)(r32);
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MYFLOAT m=(MYFLOAT)(m32);
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MYFLOAT bss=(MYFLOAT)(bss32);
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MYFLOAT flx;
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MYFLOAT nu_rec,nu_em,qu,temp_em,flux_int;
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int fi,posfreq;
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#define planck 6.62e-34f
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#define k 1.38e-23f
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#define c2 9.e16f
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#define temp 3.e7f
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#define m_point 1.e0f
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#define lplanck (log(6.62e0f)-34.e0f*log(10.e0f))
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#define lk (log(1.38e0f)-23.e0f*log(10.e0f))
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#define lc2 (log(9.e0f)+16.e0f*log(10.e0f))
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MYFLOAT v=1.e0f-3.e0f/r;
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qu=1.e0f/sqrt((1.e0f-3.e0f/r)*r)*(sqrt(r)-sqrt(6.e0f)+sqrt(3.e0f)/2.e0f*log((sqrt(r)+sqrt(3.e0f))/(sqrt(r)-sqrt(3.e0f))* 0.17157287525380988e0f ));
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temp_em=temp*sqrt(m)*exp(0.25e0f*log(m_point)-0.75e0f*log(r)-0.125e0f*log(v)+0.25e0f*log(fabs(qu)));
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flux_int=0.e0f;
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flx=0.e0f;
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for (fi=0;fi<nbr;fi++)
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{
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nu_em=bss*(MYFLOAT)fi/(MYFLOAT)nbr;
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nu_rec=nu_em*rf;
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posfreq=(int)(nu_rec*(MYFLOAT)nbr/bss);
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if ((posfreq>0)&&(posfreq<nbr))
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{
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// Initial version
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// flux_int=2.*planck/c2*pow(nu_em,3)/(exp(planck*nu_em/(k*temp_em))-1.);
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// Version with log used
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//flux_int=2.*exp(lplanck-lc2+3.*log(nu_em))/(exp(exp(lplanck-lk+log(nu_em/temp_em)))-1.);
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// flux_int*=pow(rf,3)*b*db*h;
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//flux_int*=exp(3.e0f*log(rf))*b*db*h;
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flux_int=2.e0f*exp(lplanck-lc2+3.e0f*log(nu_em))/(exp(exp(lplanck-lk+log(nu_em/temp_em)))-1.e0f)*exp(3.e0f*log(rf))*b*db*h;
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flx+=flux_int;
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}
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}
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return((float)(flx));
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}
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void impact(float phi,float r,float b,float tho,float m,
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float *zp,float *fp,
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int q,float db,
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float h,int raie)
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{
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float flx,rf,bss;
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rf=decalage_spectral(r,b,phi,tho,m);
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if (raie==0)
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{
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bss=1.e19f;
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flx=spectre_cn(rf,b,db,h,r,m,bss);
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}
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else
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{
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bss=2.e0f;
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flx=spectre(rf,q,b,db,h,r,m,bss);
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}
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*zp=1.e0f/rf;
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*fp=flx;
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}
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__kernel void EachPixel(__global float *zImage,__global float *fImage,
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float Mass,float InternalRadius,
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float ExternalRadius,float Angle,
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int Line)
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{
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uint xi=(uint)get_global_id(0);
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uint yi=(uint)get_global_id(1);
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uint sizex=(uint)get_global_size(0);
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uint sizey=(uint)get_global_size(1);
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// Perform trajectory for each pixel, exit on hit
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float m,rs,ri,re,tho;
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int q,raie;
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m=Mass;
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rs=2.e0f*m;
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ri=InternalRadius;
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re=ExternalRadius;
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tho=Angle;
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q=-2;
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raie=Line;
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float bmx,db,b,h;
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float rp0,rps;
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float phi,phd;
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uint nh=0;
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float zp=0.e0f,fp=0.e0f;
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// Autosize for image
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bmx=1.25e0f*re;
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h=4.e0f*PI/(float)TRACKPOINTS;
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// set origin as center of image
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float x=(float)xi-(float)(sizex/2)+(float)5.e-1f;
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float y=(float)yi-(float)(sizey/2)+(float)5.e-1f;
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// angle extracted from cylindric symmetry
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phi=atanp(x,y);
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phd=atanp(cos(phi)*sin(tho),cos(tho));
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float up,vp,pp,us,vs,ps;
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// impact parameter
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b=sqrt(x*x+y*y)*(float)2.e0f/(float)sizex*bmx;
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// step of impact parameter;
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db=bmx/(float)(sizex);
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up=0.e0f;
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vp=1.e0f;
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pp=0.e0f;
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rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
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rps=fabs(b/us);
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rp0=rps;
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int ExitOnImpact=0;
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do
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{
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nh++;
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pp=ps;
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up=us;
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vp=vs;
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rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
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rps=fabs(b/us);
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ExitOnImpact = ((fmod(pp,PI)<fmod(phd,PI))&&(fmod(ps,PI)>fmod(phd,PI)))&&(rps>=ri)&&(rps<=re)?1:0;
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} while ((rps>=rs)&&(rps<=rp0)&&(ExitOnImpact==0)&&(nh<TRACKPOINTS));
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if (ExitOnImpact==1) {
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impact(phi,rps,b,tho,m,&zp,&fp,q,db,h,raie);
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}
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else
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{
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zp=0.e0f;
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fp=0.e0f;
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}
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barrier(CLK_GLOBAL_MEM_FENCE);
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zImage[yi+sizex*xi]=(float)zp;
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fImage[yi+sizex*xi]=(float)fp;
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}
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__kernel void Pixel(__global float *zImage,__global float *fImage,
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__global float *Trajectories,__global int *IdLast,
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uint ImpactParameter,
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float Mass,float InternalRadius,
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float ExternalRadius,float Angle,
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int Line)
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{
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uint xi=(uint)get_global_id(0);
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uint yi=(uint)get_global_id(1);
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uint sizex=(uint)get_global_size(0);
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uint sizey=(uint)get_global_size(1);
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// Perform trajectory for each pixel
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float m,ri,re,tho;
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int q,raie;
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m=Mass;
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ri=InternalRadius;
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re=ExternalRadius;
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tho=Angle;
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q=-2;
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raie=Line;
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float bmx,db,b,h;
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float phi,phd,php,nr,r;
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float zp=0.e0f,fp=0.e0f;
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// Autosize for image, 25% greater than external radius
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bmx=1.25e0f*re;
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// Angular step of integration
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h=4.e0f*PI/(float)TRACKPOINTS;
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// Step of Impact Parameter
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db=bmx/(2.e0f*(float)ImpactParameter);
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// set origin as center of image
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float x=(float)xi-(float)(sizex/2)+(float)5.e-1f;
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float y=(float)yi-(float)(sizey/2)+(float)5.e-1f;
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// angle extracted from cylindric symmetry
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phi=atanp(x,y);
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phd=atanp(cos(phi)*sin(tho),cos(tho));
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// Real Impact Parameter
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b=sqrt(x*x+y*y)*bmx/(float)ImpactParameter;
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// Integer Impact Parameter
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uint bi=(uint)sqrt(x*x+y*y);
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int HalfLap=0,ExitOnImpact=0,ni;
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if (bi<ImpactParameter)
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{
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do
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{
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php=phd+(float)HalfLap*PI;
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nr=php/h;
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ni=(int)nr;
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if (ni<IdLast[bi])
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{
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r=(Trajectories[bi*TRACKPOINTS+ni+1]-Trajectories[bi*TRACKPOINTS+ni])*(nr-ni*1.e0f)+Trajectories[bi*TRACKPOINTS+ni];
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}
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else
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{
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r=Trajectories[bi*TRACKPOINTS+ni];
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}
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if ((r<=re)&&(r>=ri))
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{
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ExitOnImpact=1;
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impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
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}
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HalfLap++;
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} while ((HalfLap<=2)&&(ExitOnImpact==0));
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}
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barrier(CLK_GLOBAL_MEM_FENCE);
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zImage[yi+sizex*xi]=zp;
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fImage[yi+sizex*xi]=fp;
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}
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__kernel void Circle(__global float *Trajectories,__global int *IdLast,
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__global float *zImage,__global float *fImage,
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float Mass,float InternalRadius,
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float ExternalRadius,float Angle,
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int Line)
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{
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// Integer Impact Parameter ID
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int bi=get_global_id(0);
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// Integer points on circle
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int i=get_global_id(1);
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// Integer Impact Parameter Size (half of image)
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int bmaxi=get_global_size(0);
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// Integer Points on circle
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int imx=get_global_size(1);
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// Perform trajectory for each pixel
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float m,ri,re,tho;
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int q,raie;
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m=Mass;
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ri=InternalRadius;
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re=ExternalRadius;
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tho=Angle;
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raie=Line;
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float bmx,db,b,h;
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float phi,phd;
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float zp=0.e0f,fp=0.e0f;
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// Autosize for image
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bmx=1.25e0f*re;
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// Angular step of integration
|
| 483 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 484 |
|
| 485 |
// impact parameter
|
| 486 |
b=(float)bi/(float)bmaxi*bmx;
|
| 487 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 488 |
|
| 489 |
phi=2.e0f*PI/(float)imx*(float)i;
|
| 490 |
phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 491 |
int yi=(int)((float)bi*sin(phi))+bmaxi;
|
| 492 |
int xi=(int)((float)bi*cos(phi))+bmaxi;
|
| 493 |
|
| 494 |
int HalfLap=0,ExitOnImpact=0,ni;
|
| 495 |
float php,nr,r;
|
| 496 |
|
| 497 |
do
|
| 498 |
{
|
| 499 |
php=phd+(float)HalfLap*PI;
|
| 500 |
nr=php/h;
|
| 501 |
ni=(int)nr;
|
| 502 |
|
| 503 |
if (ni<IdLast[bi])
|
| 504 |
{
|
| 505 |
r=(Trajectories[bi*TRACKPOINTS+ni+1]-Trajectories[bi*TRACKPOINTS+ni])*(nr-ni*1.e0f)+Trajectories[bi*TRACKPOINTS+ni];
|
| 506 |
}
|
| 507 |
else
|
| 508 |
{
|
| 509 |
r=Trajectories[bi*TRACKPOINTS+ni];
|
| 510 |
}
|
| 511 |
|
| 512 |
if ((r<=re)&&(r>=ri))
|
| 513 |
{
|
| 514 |
ExitOnImpact=1;
|
| 515 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 516 |
}
|
| 517 |
|
| 518 |
HalfLap++;
|
| 519 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 520 |
|
| 521 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 522 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 523 |
|
| 524 |
barrier(CLK_GLOBAL_MEM_FENCE);
|
| 525 |
|
| 526 |
}
|
| 527 |
|
| 528 |
__kernel void Trajectory(__global float *Trajectories,__global int *IdLast,
|
| 529 |
float Mass,float InternalRadius,
|
| 530 |
float ExternalRadius,float Angle,
|
| 531 |
int Line)
|
| 532 |
{
|
| 533 |
// Integer Impact Parameter ID
|
| 534 |
int bi=get_global_id(0);
|
| 535 |
// Integer Impact Parameter Size (half of image)
|
| 536 |
int bmaxi=get_global_size(0);
|
| 537 |
|
| 538 |
// Perform trajectory for each pixel
|
| 539 |
|
| 540 |
float m,rs,re;
|
| 541 |
|
| 542 |
m=Mass;
|
| 543 |
rs=2.e0f*m;
|
| 544 |
re=ExternalRadius;
|
| 545 |
|
| 546 |
float bmx,b,h;
|
| 547 |
int nh;
|
| 548 |
|
| 549 |
// Autosize for image
|
| 550 |
bmx=1.25e0f*re;
|
| 551 |
|
| 552 |
// Angular step of integration
|
| 553 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 554 |
|
| 555 |
// impact parameter
|
| 556 |
b=(float)bi/(float)bmaxi*bmx;
|
| 557 |
|
| 558 |
float up,vp,pp,us,vs,ps;
|
| 559 |
|
| 560 |
up=0.e0f;
|
| 561 |
vp=1.e0f;
|
| 562 |
|
| 563 |
pp=0.e0f;
|
| 564 |
nh=0;
|
| 565 |
|
| 566 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 567 |
|
| 568 |
// b versus us
|
| 569 |
float bvus=fabs(b/us);
|
| 570 |
float bvus0=bvus;
|
| 571 |
Trajectories[bi*TRACKPOINTS+nh]=bvus;
|
| 572 |
|
| 573 |
do
|
| 574 |
{
|
| 575 |
nh++;
|
| 576 |
pp=ps;
|
| 577 |
up=us;
|
| 578 |
vp=vs;
|
| 579 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 580 |
bvus=fabs(b/us);
|
| 581 |
Trajectories[bi*TRACKPOINTS+nh]=bvus;
|
| 582 |
|
| 583 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 584 |
|
| 585 |
IdLast[bi]=nh;
|
| 586 |
|
| 587 |
barrier(CLK_GLOBAL_MEM_FENCE);
|
| 588 |
|
| 589 |
}
|
| 590 |
|
| 591 |
__kernel void EachCircle(__global float *zImage,__global float *fImage,
|
| 592 |
float Mass,float InternalRadius,
|
| 593 |
float ExternalRadius,float Angle,
|
| 594 |
int Line)
|
| 595 |
{
|
| 596 |
// Integer Impact Parameter ID
|
| 597 |
uint bi=(uint)get_global_id(0);
|
| 598 |
// Integer Impact Parameter Size (half of image)
|
| 599 |
uint bmaxi=(uint)get_global_size(0);
|
| 600 |
|
| 601 |
private float Trajectory[TRACKPOINTS];
|
| 602 |
|
| 603 |
float m,rs,ri,re,tho;
|
| 604 |
int raie,q;
|
| 605 |
|
| 606 |
m=Mass;
|
| 607 |
rs=2.e0f*m;
|
| 608 |
ri=InternalRadius;
|
| 609 |
re=ExternalRadius;
|
| 610 |
tho=Angle;
|
| 611 |
q=-2;
|
| 612 |
raie=Line;
|
| 613 |
|
| 614 |
float bmx,db,b,h;
|
| 615 |
uint nh;
|
| 616 |
|
| 617 |
|
| 618 |
// Autosize for image
|
| 619 |
bmx=1.25e0f*re;
|
| 620 |
|
| 621 |
// Angular step of integration
|
| 622 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 623 |
|
| 624 |
// impact parameter
|
| 625 |
b=(float)bi/(float)bmaxi*bmx;
|
| 626 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 627 |
|
| 628 |
float up,vp,pp,us,vs,ps;
|
| 629 |
|
| 630 |
up=0.e0f;
|
| 631 |
vp=1.e0f;
|
| 632 |
|
| 633 |
pp=0.e0f;
|
| 634 |
nh=0;
|
| 635 |
|
| 636 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 637 |
|
| 638 |
// b versus us
|
| 639 |
float bvus=fabs(b/us);
|
| 640 |
float bvus0=bvus;
|
| 641 |
Trajectory[nh]=bvus;
|
| 642 |
|
| 643 |
do
|
| 644 |
{
|
| 645 |
nh++;
|
| 646 |
pp=ps;
|
| 647 |
up=us;
|
| 648 |
vp=vs;
|
| 649 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 650 |
bvus=(float)fabs(b/us);
|
| 651 |
Trajectory[nh]=bvus;
|
| 652 |
|
| 653 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 654 |
|
| 655 |
|
| 656 |
for (uint i=(uint)nh+1;i<TRACKPOINTS;i++) {
|
| 657 |
Trajectory[i]=0.e0f;
|
| 658 |
}
|
| 659 |
|
| 660 |
|
| 661 |
uint imx=(uint)(16*bi);
|
| 662 |
|
| 663 |
for (uint i=0;i<imx;i++)
|
| 664 |
{
|
| 665 |
float zp=0.e0f,fp=0.e0f;
|
| 666 |
float phi=2.e0f*PI/(float)imx*(float)i;
|
| 667 |
float phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 668 |
uint yi=(uint)((float)bi*sin(phi)+bmaxi);
|
| 669 |
uint xi=(uint)((float)bi*cos(phi)+bmaxi);
|
| 670 |
|
| 671 |
uint HalfLap=0,ExitOnImpact=0,ni;
|
| 672 |
float php,nr,r;
|
| 673 |
|
| 674 |
do
|
| 675 |
{
|
| 676 |
php=phd+(float)HalfLap*PI;
|
| 677 |
nr=php/h;
|
| 678 |
ni=(int)nr;
|
| 679 |
|
| 680 |
if (ni<nh)
|
| 681 |
{
|
| 682 |
r=(Trajectory[ni+1]-Trajectory[ni])*(nr-ni*1.e0f)+Trajectory[ni];
|
| 683 |
}
|
| 684 |
else
|
| 685 |
{
|
| 686 |
r=Trajectory[ni];
|
| 687 |
}
|
| 688 |
|
| 689 |
if ((r<=re)&&(r>=ri))
|
| 690 |
{
|
| 691 |
ExitOnImpact=1;
|
| 692 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 693 |
}
|
| 694 |
|
| 695 |
HalfLap++;
|
| 696 |
|
| 697 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 698 |
|
| 699 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 700 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 701 |
|
| 702 |
}
|
| 703 |
|
| 704 |
barrier(CLK_GLOBAL_MEM_FENCE);
|
| 705 |
|
| 706 |
}
|
| 707 |
|
| 708 |
__kernel void Original(__global float *zImage,__global float *fImage,
|
| 709 |
uint Size,float Mass,float InternalRadius,
|
| 710 |
float ExternalRadius,float Angle,
|
| 711 |
int Line)
|
| 712 |
{
|
| 713 |
// Integer Impact Parameter Size (half of image)
|
| 714 |
uint bmaxi=(uint)Size;
|
| 715 |
|
| 716 |
float Trajectory[TRACKPOINTS];
|
| 717 |
|
| 718 |
// Perform trajectory for each pixel
|
| 719 |
|
| 720 |
float m,rs,ri,re,tho;
|
| 721 |
int raie,q;
|
| 722 |
|
| 723 |
m=Mass;
|
| 724 |
rs=2.e0f*m;
|
| 725 |
ri=InternalRadius;
|
| 726 |
re=ExternalRadius;
|
| 727 |
tho=Angle;
|
| 728 |
q=-2;
|
| 729 |
raie=Line;
|
| 730 |
|
| 731 |
float bmx,db,b,h;
|
| 732 |
uint nh;
|
| 733 |
|
| 734 |
// Autosize for image
|
| 735 |
bmx=1.25e0f*re;
|
| 736 |
|
| 737 |
// Angular step of integration
|
| 738 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 739 |
|
| 740 |
// Integer Impact Parameter ID
|
| 741 |
for (int bi=0;bi<bmaxi;bi++)
|
| 742 |
{
|
| 743 |
// impact parameter
|
| 744 |
b=(float)bi/(float)bmaxi*bmx;
|
| 745 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 746 |
|
| 747 |
float up,vp,pp,us,vs,ps;
|
| 748 |
|
| 749 |
up=0.e0f;
|
| 750 |
vp=1.e0f;
|
| 751 |
|
| 752 |
pp=0.e0f;
|
| 753 |
nh=0;
|
| 754 |
|
| 755 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 756 |
|
| 757 |
// b versus us
|
| 758 |
float bvus=fabs(b/us);
|
| 759 |
float bvus0=bvus;
|
| 760 |
Trajectory[nh]=bvus;
|
| 761 |
|
| 762 |
do
|
| 763 |
{
|
| 764 |
nh++;
|
| 765 |
pp=ps;
|
| 766 |
up=us;
|
| 767 |
vp=vs;
|
| 768 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 769 |
bvus=fabs(b/us);
|
| 770 |
Trajectory[nh]=bvus;
|
| 771 |
|
| 772 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 773 |
|
| 774 |
for (uint i=(uint)nh+1;i<TRACKPOINTS;i++) {
|
| 775 |
Trajectory[i]=0.e0f;
|
| 776 |
}
|
| 777 |
|
| 778 |
int imx=(int)(16*bi);
|
| 779 |
|
| 780 |
for (int i=0;i<imx;i++)
|
| 781 |
{
|
| 782 |
float zp=0.e0f,fp=0.e0f;
|
| 783 |
float phi=2.e0f*PI/(float)imx*(float)i;
|
| 784 |
float phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 785 |
uint yi=(uint)((float)bi*sin(phi)+bmaxi);
|
| 786 |
uint xi=(uint)((float)bi*cos(phi)+bmaxi);
|
| 787 |
|
| 788 |
uint HalfLap=0,ExitOnImpact=0,ni;
|
| 789 |
float php,nr,r;
|
| 790 |
|
| 791 |
do
|
| 792 |
{
|
| 793 |
php=phd+(float)HalfLap*PI;
|
| 794 |
nr=php/h;
|
| 795 |
ni=(int)nr;
|
| 796 |
|
| 797 |
if (ni<nh)
|
| 798 |
{
|
| 799 |
r=(Trajectory[ni+1]-Trajectory[ni])*(nr-ni*1.e0f)+Trajectory[ni];
|
| 800 |
}
|
| 801 |
else
|
| 802 |
{
|
| 803 |
r=Trajectory[ni];
|
| 804 |
}
|
| 805 |
|
| 806 |
if ((r<=re)&&(r>=ri))
|
| 807 |
{
|
| 808 |
ExitOnImpact=1;
|
| 809 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 810 |
}
|
| 811 |
|
| 812 |
HalfLap++;
|
| 813 |
|
| 814 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 815 |
|
| 816 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 817 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 818 |
|
| 819 |
}
|
| 820 |
|
| 821 |
}
|
| 822 |
|
| 823 |
barrier(CLK_GLOBAL_MEM_FENCE);
|
| 824 |
|
| 825 |
}
|
| 826 |
"""
|
| 827 |
|
| 828 |
|
| 829 |
|
| 830 |
|
| 831 |
|
| 832 |
|
| 833 |
|
| 834 |
|
| 835 |
|
| 836 |
|
| 837 |
|
| 838 |
|
| 839 |
|
| 840 |
|
| 841 |
|
| 842 |
|
| 843 |
|
| 844 |
|
| 845 |
|
| 846 |
|
| 847 |
|
| 848 |
|
| 849 |
|
| 850 |
|
| 851 |
|
| 852 |
|
| 853 |
|
| 854 |
|
| 855 |
|
| 856 |
|
| 857 |
|
| 858 |
|
| 859 |
|
| 860 |
|
| 861 |
|
| 862 |
|
| 863 |
|
| 864 |
|
| 865 |
|
| 866 |
|
| 867 |
|
| 868 |
|
| 869 |
|
| 870 |
|
| 871 |
|
| 872 |
|
| 873 |
|
| 874 |
|
| 875 |
|
| 876 |
|
| 877 |
|
| 878 |
|
| 879 |
|
| 880 |
|
| 881 |
|
| 882 |
|
| 883 |
|
| 884 |
|
| 885 |
|
| 886 |
|
| 887 |
|
| 888 |
|
| 889 |
|
| 890 |
|
| 891 |
|
| 892 |
|
| 893 |
|
| 894 |
|
| 895 |
|
| 896 |
|
| 897 |
|
| 898 |
|
| 899 |
def KernelCodeCuda(): |
| 900 |
BlobCUDA= """
|
| 901 |
|
| 902 |
#define PI (float)3.14159265359
|
| 903 |
#define nbr 256
|
| 904 |
|
| 905 |
#define EINSTEIN 0
|
| 906 |
#define NEWTON 1
|
| 907 |
|
| 908 |
#ifdef SETTRACKPOINTS
|
| 909 |
#define TRACKPOINTS SETTRACKPOINTS
|
| 910 |
#else
|
| 911 |
#define TRACKPOINTS
|
| 912 |
#endif
|
| 913 |
__device__ float nothing(float x)
|
| 914 |
{
|
| 915 |
return(x);
|
| 916 |
}
|
| 917 |
|
| 918 |
__device__ float atanp(float x,float y)
|
| 919 |
{
|
| 920 |
float angle;
|
| 921 |
|
| 922 |
angle=atan2(y,x);
|
| 923 |
|
| 924 |
if (angle<0.e0f)
|
| 925 |
{
|
| 926 |
angle+=(float)2.e0f*PI;
|
| 927 |
}
|
| 928 |
|
| 929 |
return(angle);
|
| 930 |
}
|
| 931 |
|
| 932 |
__device__ float f(float v)
|
| 933 |
{
|
| 934 |
return(v);
|
| 935 |
}
|
| 936 |
|
| 937 |
#if PHYSICS == NEWTON
|
| 938 |
__device__ float g(float u,float m,float b)
|
| 939 |
{
|
| 940 |
return (-u);
|
| 941 |
}
|
| 942 |
#else
|
| 943 |
__device__ float g(float u,float m,float b)
|
| 944 |
{
|
| 945 |
return (3.e0f*m/b*pow(u,2)-u);
|
| 946 |
}
|
| 947 |
#endif
|
| 948 |
|
| 949 |
__device__ void calcul(float *us,float *vs,float up,float vp,
|
| 950 |
float h,float m,float b)
|
| 951 |
{
|
| 952 |
float c0,c1,c2,c3,d0,d1,d2,d3;
|
| 953 |
|
| 954 |
c0=h*f(vp);
|
| 955 |
c1=h*f(vp+c0/2.);
|
| 956 |
c2=h*f(vp+c1/2.);
|
| 957 |
c3=h*f(vp+c2);
|
| 958 |
d0=h*g(up,m,b);
|
| 959 |
d1=h*g(up+d0/2.,m,b);
|
| 960 |
d2=h*g(up+d1/2.,m,b);
|
| 961 |
d3=h*g(up+d2,m,b);
|
| 962 |
|
| 963 |
*us=up+(c0+2.*c1+2.*c2+c3)/6.;
|
| 964 |
*vs=vp+(d0+2.*d1+2.*d2+d3)/6.;
|
| 965 |
}
|
| 966 |
|
| 967 |
__device__ void rungekutta(float *ps,float *us,float *vs,
|
| 968 |
float pp,float up,float vp,
|
| 969 |
float h,float m,float b)
|
| 970 |
{
|
| 971 |
calcul(us,vs,up,vp,h,m,b);
|
| 972 |
*ps=pp+h;
|
| 973 |
}
|
| 974 |
|
| 975 |
__device__ float decalage_spectral(float r,float b,float phi,
|
| 976 |
float tho,float m)
|
| 977 |
{
|
| 978 |
return (sqrt(1-3*m/r)/(1+sqrt(m/pow(r,3))*b*sin(tho)*sin(phi)));
|
| 979 |
}
|
| 980 |
|
| 981 |
__device__ float spectre(float rf,int q,float b,float db,
|
| 982 |
float h,float r,float m,float bss)
|
| 983 |
{
|
| 984 |
float flx;
|
| 985 |
|
| 986 |
// flx=exp(q*log(r/m))*pow(rf,4)*b*db*h;
|
| 987 |
flx=exp(q*log(r/m)+4.*log(rf))*b*db*h;
|
| 988 |
return(flx);
|
| 989 |
}
|
| 990 |
|
| 991 |
__device__ float spectre_cn(float rf32,float b32,float db32,
|
| 992 |
float h32,float r32,float m32,float bss32)
|
| 993 |
{
|
| 994 |
|
| 995 |
#define MYFLOAT float
|
| 996 |
|
| 997 |
MYFLOAT rf=(MYFLOAT)(rf32);
|
| 998 |
MYFLOAT b=(MYFLOAT)(b32);
|
| 999 |
MYFLOAT db=(MYFLOAT)(db32);
|
| 1000 |
MYFLOAT h=(MYFLOAT)(h32);
|
| 1001 |
MYFLOAT r=(MYFLOAT)(r32);
|
| 1002 |
MYFLOAT m=(MYFLOAT)(m32);
|
| 1003 |
MYFLOAT bss=(MYFLOAT)(bss32);
|
| 1004 |
|
| 1005 |
MYFLOAT flx;
|
| 1006 |
MYFLOAT nu_rec,nu_em,qu,temp_em,flux_int;
|
| 1007 |
int fi,posfreq;
|
| 1008 |
|
| 1009 |
#define planck 6.62e-34
|
| 1010 |
#define k 1.38e-23
|
| 1011 |
#define c2 9.e16
|
| 1012 |
#define temp 3.e7
|
| 1013 |
#define m_point 1.
|
| 1014 |
|
| 1015 |
#define lplanck (log(6.62)-34.*log(10.))
|
| 1016 |
#define lk (log(1.38)-23.*log(10.))
|
| 1017 |
#define lc2 (log(9.)+16.*log(10.))
|
| 1018 |
|
| 1019 |
MYFLOAT v=1.-3./r;
|
| 1020 |
|
| 1021 |
qu=1./sqrt((1.-3./r)*r)*(sqrt(r)-sqrt(6.)+sqrt(3.)/2.*log((sqrt(r)+sqrt(3.))/(sqrt(r)-sqrt(3.))* 0.17157287525380988 ));
|
| 1022 |
|
| 1023 |
temp_em=temp*sqrt(m)*exp(0.25*log(m_point)-0.75*log(r)-0.125*log(v)+0.25*log(fabs(qu)));
|
| 1024 |
|
| 1025 |
flux_int=0.;
|
| 1026 |
flx=0.;
|
| 1027 |
|
| 1028 |
for (fi=0;fi<nbr;fi++)
|
| 1029 |
{
|
| 1030 |
nu_em=bss*(MYFLOAT)fi/(MYFLOAT)nbr;
|
| 1031 |
nu_rec=nu_em*rf;
|
| 1032 |
posfreq=(int)(nu_rec*(MYFLOAT)nbr/bss);
|
| 1033 |
if ((posfreq>0)&&(posfreq<nbr))
|
| 1034 |
{
|
| 1035 |
// Initial version
|
| 1036 |
// flux_int=2.*planck/c2*pow(nu_em,3)/(exp(planck*nu_em/(k*temp_em))-1.);
|
| 1037 |
// Version with log used
|
| 1038 |
//flux_int=2.*exp(lplanck-lc2+3.*log(nu_em))/(exp(exp(lplanck-lk+log(nu_em/temp_em)))-1.);
|
| 1039 |
// flux_int*=pow(rf,3)*b*db*h;
|
| 1040 |
//flux_int*=exp(3.*log(rf))*b*db*h;
|
| 1041 |
flux_int=2.*exp(lplanck-lc2+3.*log(nu_em))/(exp(exp(lplanck-lk+log(nu_em/temp_em)))-1.)*exp(3.*log(rf))*b*db*h;
|
| 1042 |
|
| 1043 |
flx+=flux_int;
|
| 1044 |
}
|
| 1045 |
}
|
| 1046 |
|
| 1047 |
return((float)(flx));
|
| 1048 |
}
|
| 1049 |
|
| 1050 |
__device__ void impact(float phi,float r,float b,float tho,float m,
|
| 1051 |
float *zp,float *fp,
|
| 1052 |
int q,float db,
|
| 1053 |
float h,int raie)
|
| 1054 |
{
|
| 1055 |
float flx,rf,bss;
|
| 1056 |
|
| 1057 |
rf=decalage_spectral(r,b,phi,tho,m);
|
| 1058 |
|
| 1059 |
if (raie==0)
|
| 1060 |
{
|
| 1061 |
bss=1.e19;
|
| 1062 |
flx=spectre_cn(rf,b,db,h,r,m,bss);
|
| 1063 |
}
|
| 1064 |
else
|
| 1065 |
{
|
| 1066 |
bss=2.;
|
| 1067 |
flx=spectre(rf,q,b,db,h,r,m,bss);
|
| 1068 |
}
|
| 1069 |
|
| 1070 |
*zp=1./rf;
|
| 1071 |
*fp=flx;
|
| 1072 |
|
| 1073 |
}
|
| 1074 |
|
| 1075 |
__global__ void EachPixel(float *zImage,float *fImage,
|
| 1076 |
float Mass,float InternalRadius,
|
| 1077 |
float ExternalRadius,float Angle,
|
| 1078 |
int Line)
|
| 1079 |
{
|
| 1080 |
uint xi=(uint)(blockIdx.x*blockDim.x+threadIdx.x);
|
| 1081 |
uint yi=(uint)(blockIdx.y*blockDim.y+threadIdx.y);
|
| 1082 |
uint sizex=(uint)gridDim.x*blockDim.x;
|
| 1083 |
uint sizey=(uint)gridDim.y*blockDim.y;
|
| 1084 |
|
| 1085 |
|
| 1086 |
// Perform trajectory for each pixel, exit on hit
|
| 1087 |
|
| 1088 |
float m,rs,ri,re,tho;
|
| 1089 |
int q,raie;
|
| 1090 |
|
| 1091 |
m=Mass;
|
| 1092 |
rs=2.*m;
|
| 1093 |
ri=InternalRadius;
|
| 1094 |
re=ExternalRadius;
|
| 1095 |
tho=Angle;
|
| 1096 |
q=-2;
|
| 1097 |
raie=Line;
|
| 1098 |
|
| 1099 |
float bmx,db,b,h;
|
| 1100 |
float rp0,rpp,rps;
|
| 1101 |
float phi,phd;
|
| 1102 |
int nh;
|
| 1103 |
float zp,fp;
|
| 1104 |
|
| 1105 |
// Autosize for image
|
| 1106 |
bmx=1.25*re;
|
| 1107 |
b=0.;
|
| 1108 |
|
| 1109 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1110 |
|
| 1111 |
// set origin as center of image
|
| 1112 |
float x=(float)xi-(float)(sizex/2)+(float)5e-1f;
|
| 1113 |
float y=(float)yi-(float)(sizey/2)+(float)5e-1f;
|
| 1114 |
// angle extracted from cylindric symmetry
|
| 1115 |
phi=atanp(x,y);
|
| 1116 |
phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 1117 |
|
| 1118 |
float up,vp,pp,us,vs,ps;
|
| 1119 |
|
| 1120 |
// impact parameter
|
| 1121 |
b=sqrt(x*x+y*y)*(float)2.e0f/(float)sizex*bmx;
|
| 1122 |
// step of impact parameter;
|
| 1123 |
// db=bmx/(float)(sizex/2);
|
| 1124 |
db=bmx/(float)(sizex);
|
| 1125 |
|
| 1126 |
up=0.;
|
| 1127 |
vp=1.;
|
| 1128 |
pp=0.;
|
| 1129 |
nh=0;
|
| 1130 |
|
| 1131 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1132 |
|
| 1133 |
rps=fabs(b/us);
|
| 1134 |
rp0=rps;
|
| 1135 |
|
| 1136 |
int ExitOnImpact=0;
|
| 1137 |
|
| 1138 |
do
|
| 1139 |
{
|
| 1140 |
nh++;
|
| 1141 |
pp=ps;
|
| 1142 |
up=us;
|
| 1143 |
vp=vs;
|
| 1144 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1145 |
rpp=rps;
|
| 1146 |
rps=fabs(b/us);
|
| 1147 |
ExitOnImpact = ((fmod(pp,PI)<fmod(phd,PI))&&(fmod(ps,PI)>fmod(phd,PI)))&&(rps>ri)&&(rps<re)?1:0;
|
| 1148 |
|
| 1149 |
} while ((rps>=rs)&&(rps<=rp0)&&(ExitOnImpact==0));
|
| 1150 |
|
| 1151 |
if (ExitOnImpact==1) {
|
| 1152 |
impact(phi,rpp,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 1153 |
}
|
| 1154 |
else
|
| 1155 |
{
|
| 1156 |
zp=0.e0f;
|
| 1157 |
fp=0.e0f;
|
| 1158 |
}
|
| 1159 |
|
| 1160 |
__syncthreads();
|
| 1161 |
|
| 1162 |
zImage[yi+sizex*xi]=(float)zp;
|
| 1163 |
fImage[yi+sizex*xi]=(float)fp;
|
| 1164 |
}
|
| 1165 |
|
| 1166 |
__global__ void Pixel(float *zImage,float *fImage,
|
| 1167 |
float *Trajectories,int *IdLast,
|
| 1168 |
uint ImpactParameter,
|
| 1169 |
float Mass,float InternalRadius,
|
| 1170 |
float ExternalRadius,float Angle,
|
| 1171 |
int Line)
|
| 1172 |
{
|
| 1173 |
uint xi=(uint)(blockIdx.x*blockDim.x+threadIdx.x);
|
| 1174 |
uint yi=(uint)(blockIdx.y*blockDim.y+threadIdx.y);
|
| 1175 |
uint sizex=(uint)gridDim.x*blockDim.x;
|
| 1176 |
uint sizey=(uint)gridDim.y*blockDim.y;
|
| 1177 |
|
| 1178 |
// Perform trajectory for each pixel
|
| 1179 |
|
| 1180 |
float m,ri,re,tho;
|
| 1181 |
int q,raie;
|
| 1182 |
|
| 1183 |
m=Mass;
|
| 1184 |
ri=InternalRadius;
|
| 1185 |
re=ExternalRadius;
|
| 1186 |
tho=Angle;
|
| 1187 |
q=-2;
|
| 1188 |
raie=Line;
|
| 1189 |
|
| 1190 |
float bmx,db,b,h;
|
| 1191 |
float phi,phd,php,nr,r;
|
| 1192 |
float zp=0,fp=0;
|
| 1193 |
// Autosize for image, 25% greater than external radius
|
| 1194 |
bmx=1.25e0f*re;
|
| 1195 |
|
| 1196 |
// Angular step of integration
|
| 1197 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1198 |
|
| 1199 |
// Step of Impact Parameter
|
| 1200 |
db=bmx/(2.e0f*(float)ImpactParameter);
|
| 1201 |
|
| 1202 |
// set origin as center of image
|
| 1203 |
float x=(float)xi-(float)(sizex/2)+(float)5e-1f;
|
| 1204 |
float y=(float)yi-(float)(sizey/2)+(float)5e-1f;
|
| 1205 |
// angle extracted from cylindric symmetry
|
| 1206 |
phi=atanp(x,y);
|
| 1207 |
phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 1208 |
|
| 1209 |
// Real Impact Parameter
|
| 1210 |
b=sqrt(x*x+y*y)*bmx/(float)ImpactParameter;
|
| 1211 |
|
| 1212 |
// Integer Impact Parameter
|
| 1213 |
uint bi=(uint)sqrt(x*x+y*y);
|
| 1214 |
|
| 1215 |
int HalfLap=0,ExitOnImpact=0,ni;
|
| 1216 |
|
| 1217 |
if (bi<ImpactParameter)
|
| 1218 |
{
|
| 1219 |
do
|
| 1220 |
{
|
| 1221 |
php=phd+(float)HalfLap*PI;
|
| 1222 |
nr=php/h;
|
| 1223 |
ni=(int)nr;
|
| 1224 |
|
| 1225 |
if (ni<IdLast[bi])
|
| 1226 |
{
|
| 1227 |
r=(Trajectories[bi*TRACKPOINTS+ni+1]-Trajectories[bi*TRACKPOINTS+ni])*(nr-ni*1.e0f)+Trajectories[bi*TRACKPOINTS+ni];
|
| 1228 |
}
|
| 1229 |
else
|
| 1230 |
{
|
| 1231 |
r=Trajectories[bi*TRACKPOINTS+ni];
|
| 1232 |
}
|
| 1233 |
|
| 1234 |
if ((r<=re)&&(r>=ri))
|
| 1235 |
{
|
| 1236 |
ExitOnImpact=1;
|
| 1237 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 1238 |
}
|
| 1239 |
|
| 1240 |
HalfLap++;
|
| 1241 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 1242 |
|
| 1243 |
}
|
| 1244 |
|
| 1245 |
zImage[yi+sizex*xi]=zp;
|
| 1246 |
fImage[yi+sizex*xi]=fp;
|
| 1247 |
}
|
| 1248 |
|
| 1249 |
__global__ void Circle(float *Trajectories,int *IdLast,
|
| 1250 |
float *zImage,float *fImage,
|
| 1251 |
float Mass,float InternalRadius,
|
| 1252 |
float ExternalRadius,float Angle,
|
| 1253 |
int Line)
|
| 1254 |
{
|
| 1255 |
// Integer Impact Parameter ID
|
| 1256 |
int bi=blockIdx.x*blockDim.x+threadIdx.x;
|
| 1257 |
// Integer points on circle
|
| 1258 |
int i=blockIdx.y*blockDim.y+threadIdx.y;
|
| 1259 |
// Integer Impact Parameter Size (half of image)
|
| 1260 |
int bmaxi=gridDim.x*blockDim.x;
|
| 1261 |
// Integer Points on circle
|
| 1262 |
int imx=gridDim.y*blockDim.y;
|
| 1263 |
|
| 1264 |
// Perform trajectory for each pixel
|
| 1265 |
|
| 1266 |
float m,ri,re,tho;
|
| 1267 |
int q,raie;
|
| 1268 |
|
| 1269 |
m=Mass;
|
| 1270 |
ri=InternalRadius;
|
| 1271 |
re=ExternalRadius;
|
| 1272 |
tho=Angle;
|
| 1273 |
raie=Line;
|
| 1274 |
|
| 1275 |
float bmx,db,b,h;
|
| 1276 |
float phi,phd;
|
| 1277 |
float zp=0,fp=0;
|
| 1278 |
|
| 1279 |
// Autosize for image
|
| 1280 |
bmx=1.25e0f*re;
|
| 1281 |
|
| 1282 |
// Angular step of integration
|
| 1283 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1284 |
|
| 1285 |
// impact parameter
|
| 1286 |
b=(float)bi/(float)bmaxi*bmx;
|
| 1287 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 1288 |
|
| 1289 |
phi=2.e0f*PI/(float)imx*(float)i;
|
| 1290 |
phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 1291 |
int yi=(int)((float)bi*sin(phi))+bmaxi;
|
| 1292 |
int xi=(int)((float)bi*cos(phi))+bmaxi;
|
| 1293 |
|
| 1294 |
int HalfLap=0,ExitOnImpact=0,ni;
|
| 1295 |
float php,nr,r;
|
| 1296 |
|
| 1297 |
do
|
| 1298 |
{
|
| 1299 |
php=phd+(float)HalfLap*PI;
|
| 1300 |
nr=php/h;
|
| 1301 |
ni=(int)nr;
|
| 1302 |
|
| 1303 |
if (ni<IdLast[bi])
|
| 1304 |
{
|
| 1305 |
r=(Trajectories[bi*TRACKPOINTS+ni+1]-Trajectories[bi*TRACKPOINTS+ni])*(nr-ni*1.e0f)+Trajectories[bi*TRACKPOINTS+ni];
|
| 1306 |
}
|
| 1307 |
else
|
| 1308 |
{
|
| 1309 |
r=Trajectories[bi*TRACKPOINTS+ni];
|
| 1310 |
}
|
| 1311 |
|
| 1312 |
if ((r<=re)&&(r>=ri))
|
| 1313 |
{
|
| 1314 |
ExitOnImpact=1;
|
| 1315 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 1316 |
}
|
| 1317 |
|
| 1318 |
HalfLap++;
|
| 1319 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 1320 |
|
| 1321 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 1322 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 1323 |
|
| 1324 |
}
|
| 1325 |
|
| 1326 |
__global__ void Trajectory(float *Trajectories,int *IdLast,
|
| 1327 |
float Mass,float InternalRadius,
|
| 1328 |
float ExternalRadius,float Angle,
|
| 1329 |
int Line)
|
| 1330 |
{
|
| 1331 |
// Integer Impact Parameter ID
|
| 1332 |
int bi=blockIdx.x*blockDim.x+threadIdx.x;
|
| 1333 |
// Integer Impact Parameter Size (half of image)
|
| 1334 |
int bmaxi=gridDim.x*blockDim.x;
|
| 1335 |
|
| 1336 |
// Perform trajectory for each pixel
|
| 1337 |
|
| 1338 |
float m,rs,re;
|
| 1339 |
|
| 1340 |
m=Mass;
|
| 1341 |
rs=2.e0f*m;
|
| 1342 |
re=ExternalRadius;
|
| 1343 |
|
| 1344 |
float bmx,b,h;
|
| 1345 |
int nh;
|
| 1346 |
|
| 1347 |
// Autosize for image
|
| 1348 |
bmx=1.25e0f*re;
|
| 1349 |
|
| 1350 |
// Angular step of integration
|
| 1351 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1352 |
|
| 1353 |
// impact parameter
|
| 1354 |
b=(float)bi/(float)bmaxi*bmx;
|
| 1355 |
|
| 1356 |
float up,vp,pp,us,vs,ps;
|
| 1357 |
|
| 1358 |
up=0.e0f;
|
| 1359 |
vp=1.e0f;
|
| 1360 |
pp=0.e0f;
|
| 1361 |
nh=0;
|
| 1362 |
|
| 1363 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1364 |
|
| 1365 |
// b versus us
|
| 1366 |
float bvus=fabs(b/us);
|
| 1367 |
float bvus0=bvus;
|
| 1368 |
Trajectories[bi*TRACKPOINTS+nh]=bvus;
|
| 1369 |
|
| 1370 |
do
|
| 1371 |
{
|
| 1372 |
nh++;
|
| 1373 |
pp=ps;
|
| 1374 |
up=us;
|
| 1375 |
vp=vs;
|
| 1376 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1377 |
bvus=fabs(b/us);
|
| 1378 |
Trajectories[bi*TRACKPOINTS+nh]=bvus;
|
| 1379 |
|
| 1380 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 1381 |
|
| 1382 |
IdLast[bi]=nh;
|
| 1383 |
|
| 1384 |
}
|
| 1385 |
|
| 1386 |
__global__ void EachCircle(float *zImage,float *fImage,
|
| 1387 |
float Mass,float InternalRadius,
|
| 1388 |
float ExternalRadius,float Angle,
|
| 1389 |
int Line)
|
| 1390 |
{
|
| 1391 |
// Integer Impact Parameter ID
|
| 1392 |
int bi=blockIdx.x*blockDim.x+threadIdx.x;
|
| 1393 |
|
| 1394 |
// Integer Impact Parameter Size (half of image)
|
| 1395 |
int bmaxi=gridDim.x*blockDim.x;
|
| 1396 |
|
| 1397 |
float Trajectory[2048];
|
| 1398 |
|
| 1399 |
// Perform trajectory for each pixel
|
| 1400 |
|
| 1401 |
float m,rs,ri,re,tho;
|
| 1402 |
int raie,q;
|
| 1403 |
|
| 1404 |
m=Mass;
|
| 1405 |
rs=2.*m;
|
| 1406 |
ri=InternalRadius;
|
| 1407 |
re=ExternalRadius;
|
| 1408 |
tho=Angle;
|
| 1409 |
q=-2;
|
| 1410 |
raie=Line;
|
| 1411 |
|
| 1412 |
float bmx,db,b,h;
|
| 1413 |
int nh;
|
| 1414 |
|
| 1415 |
// Autosize for image
|
| 1416 |
bmx=1.25e0f*re;
|
| 1417 |
|
| 1418 |
// Angular step of integration
|
| 1419 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1420 |
|
| 1421 |
// impact parameter
|
| 1422 |
b=(float)bi/(float)bmaxi*bmx;
|
| 1423 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 1424 |
|
| 1425 |
float up,vp,pp,us,vs,ps;
|
| 1426 |
|
| 1427 |
up=0.;
|
| 1428 |
vp=1.;
|
| 1429 |
pp=0.;
|
| 1430 |
nh=0;
|
| 1431 |
|
| 1432 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1433 |
|
| 1434 |
// b versus us
|
| 1435 |
float bvus=fabs(b/us);
|
| 1436 |
float bvus0=bvus;
|
| 1437 |
Trajectory[nh]=bvus;
|
| 1438 |
|
| 1439 |
do
|
| 1440 |
{
|
| 1441 |
nh++;
|
| 1442 |
pp=ps;
|
| 1443 |
up=us;
|
| 1444 |
vp=vs;
|
| 1445 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1446 |
bvus=fabs(b/us);
|
| 1447 |
Trajectory[nh]=bvus;
|
| 1448 |
|
| 1449 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 1450 |
|
| 1451 |
int imx=(int)(16*bi);
|
| 1452 |
|
| 1453 |
for (int i=0;i<imx;i++)
|
| 1454 |
{
|
| 1455 |
float zp=0,fp=0;
|
| 1456 |
float phi=2.*PI/(float)imx*(float)i;
|
| 1457 |
float phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 1458 |
uint yi=(uint)((float)bi*sin(phi)+bmaxi);
|
| 1459 |
uint xi=(uint)((float)bi*cos(phi)+bmaxi);
|
| 1460 |
|
| 1461 |
int HalfLap=0,ExitOnImpact=0,ni;
|
| 1462 |
float php,nr,r;
|
| 1463 |
|
| 1464 |
do
|
| 1465 |
{
|
| 1466 |
php=phd+(float)HalfLap*PI;
|
| 1467 |
nr=php/h;
|
| 1468 |
ni=(int)nr;
|
| 1469 |
|
| 1470 |
if (ni<nh)
|
| 1471 |
{
|
| 1472 |
r=(Trajectory[ni+1]-Trajectory[ni])*(nr-ni*1.)+Trajectory[ni];
|
| 1473 |
}
|
| 1474 |
else
|
| 1475 |
{
|
| 1476 |
r=Trajectory[ni];
|
| 1477 |
}
|
| 1478 |
|
| 1479 |
if ((r<=re)&&(r>=ri))
|
| 1480 |
{
|
| 1481 |
ExitOnImpact=1;
|
| 1482 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 1483 |
}
|
| 1484 |
|
| 1485 |
HalfLap++;
|
| 1486 |
|
| 1487 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 1488 |
|
| 1489 |
__syncthreads();
|
| 1490 |
|
| 1491 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 1492 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 1493 |
|
| 1494 |
}
|
| 1495 |
|
| 1496 |
}
|
| 1497 |
|
| 1498 |
__global__ void Original(float *zImage,float *fImage,
|
| 1499 |
uint Size,float Mass,float InternalRadius,
|
| 1500 |
float ExternalRadius,float Angle,
|
| 1501 |
int Line)
|
| 1502 |
{
|
| 1503 |
// Integer Impact Parameter Size (half of image)
|
| 1504 |
uint bmaxi=(uint)Size;
|
| 1505 |
|
| 1506 |
float Trajectory[TRACKPOINTS];
|
| 1507 |
|
| 1508 |
// Perform trajectory for each pixel
|
| 1509 |
|
| 1510 |
float m,rs,ri,re,tho;
|
| 1511 |
int raie,q;
|
| 1512 |
|
| 1513 |
m=Mass;
|
| 1514 |
rs=2.e0f*m;
|
| 1515 |
ri=InternalRadius;
|
| 1516 |
re=ExternalRadius;
|
| 1517 |
tho=Angle;
|
| 1518 |
q=-2;
|
| 1519 |
raie=Line;
|
| 1520 |
|
| 1521 |
float bmx,db,b,h;
|
| 1522 |
int nh;
|
| 1523 |
|
| 1524 |
// Autosize for image
|
| 1525 |
bmx=1.25e0f*re;
|
| 1526 |
|
| 1527 |
// Angular step of integration
|
| 1528 |
h=4.e0f*PI/(float)TRACKPOINTS;
|
| 1529 |
|
| 1530 |
// Integer Impact Parameter ID
|
| 1531 |
for (int bi=0;bi<bmaxi;bi++)
|
| 1532 |
{
|
| 1533 |
// impact parameter
|
| 1534 |
b=(float)bi/(float)bmaxi*bmx;
|
| 1535 |
db=bmx/(2.e0f*(float)bmaxi);
|
| 1536 |
|
| 1537 |
float up,vp,pp,us,vs,ps;
|
| 1538 |
|
| 1539 |
up=0.;
|
| 1540 |
vp=1.;
|
| 1541 |
pp=0.;
|
| 1542 |
nh=0;
|
| 1543 |
|
| 1544 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1545 |
|
| 1546 |
// b versus us
|
| 1547 |
float bvus=fabs(b/us);
|
| 1548 |
float bvus0=bvus;
|
| 1549 |
Trajectory[nh]=bvus;
|
| 1550 |
|
| 1551 |
do
|
| 1552 |
{
|
| 1553 |
nh++;
|
| 1554 |
pp=ps;
|
| 1555 |
up=us;
|
| 1556 |
vp=vs;
|
| 1557 |
rungekutta(&ps,&us,&vs,pp,up,vp,h,m,b);
|
| 1558 |
bvus=fabs(b/us);
|
| 1559 |
Trajectory[nh]=bvus;
|
| 1560 |
|
| 1561 |
} while ((bvus>=rs)&&(bvus<=bvus0));
|
| 1562 |
|
| 1563 |
for (uint i=(uint)nh+1;i<TRACKPOINTS;i++) {
|
| 1564 |
Trajectory[i]=0.e0f;
|
| 1565 |
}
|
| 1566 |
|
| 1567 |
int imx=(int)(16*bi);
|
| 1568 |
|
| 1569 |
for (int i=0;i<imx;i++)
|
| 1570 |
{
|
| 1571 |
float zp=0,fp=0;
|
| 1572 |
float phi=2.e0f*PI/(float)imx*(float)i;
|
| 1573 |
float phd=atanp(cos(phi)*sin(tho),cos(tho));
|
| 1574 |
uint yi=(uint)((float)bi*sin(phi)+bmaxi);
|
| 1575 |
uint xi=(uint)((float)bi*cos(phi)+bmaxi);
|
| 1576 |
|
| 1577 |
int HalfLap=0,ExitOnImpact=0,ni;
|
| 1578 |
float php,nr,r;
|
| 1579 |
|
| 1580 |
do
|
| 1581 |
{
|
| 1582 |
php=phd+(float)HalfLap*PI;
|
| 1583 |
nr=php/h;
|
| 1584 |
ni=(int)nr;
|
| 1585 |
|
| 1586 |
if (ni<nh)
|
| 1587 |
{
|
| 1588 |
r=(Trajectory[ni+1]-Trajectory[ni])*(nr-ni*1.)+Trajectory[ni];
|
| 1589 |
}
|
| 1590 |
else
|
| 1591 |
{
|
| 1592 |
r=Trajectory[ni];
|
| 1593 |
}
|
| 1594 |
|
| 1595 |
if ((r<=re)&&(r>=ri))
|
| 1596 |
{
|
| 1597 |
ExitOnImpact=1;
|
| 1598 |
impact(phi,r,b,tho,m,&zp,&fp,q,db,h,raie);
|
| 1599 |
}
|
| 1600 |
|
| 1601 |
HalfLap++;
|
| 1602 |
|
| 1603 |
} while ((HalfLap<=2)&&(ExitOnImpact==0));
|
| 1604 |
|
| 1605 |
zImage[yi+2*bmaxi*xi]=zp;
|
| 1606 |
fImage[yi+2*bmaxi*xi]=fp;
|
| 1607 |
|
| 1608 |
}
|
| 1609 |
|
| 1610 |
}
|
| 1611 |
|
| 1612 |
}
|
| 1613 |
"""
|
| 1614 |
return(BlobCUDA)
|
| 1615 |
|
| 1616 |
# def ImageOutput(sigma,prefix):
|
| 1617 |
# from PIL import Image
|
| 1618 |
# Max=sigma.max()
|
| 1619 |
# Min=sigma.min()
|
| 1620 |
# # Normalize value as 8bits Integer
|
| 1621 |
# SigmaInt=(255*(sigma-Min)/(Max-Min)).astype('uint8')
|
| 1622 |
# image = Image.fromarray(SigmaInt)
|
| 1623 |
# image.save("%s.jpg" % prefix)
|
| 1624 |
|
| 1625 |
def ImageOutput(sigma,prefix,Colors): |
| 1626 |
import matplotlib.pyplot as plt |
| 1627 |
start_time=time.time() |
| 1628 |
if Colors == 'Red2Yellow': |
| 1629 |
plt.imsave("%s.png" % prefix, sigma, cmap='afmhot') |
| 1630 |
else:
|
| 1631 |
plt.imsave("%s.png" % prefix, sigma, cmap='Greys_r') |
| 1632 |
save_time = time.time()-start_time |
| 1633 |
print("Save image as %s.png file" % prefix)
|
| 1634 |
print("Save Time : %f" % save_time)
|
| 1635 |
|
| 1636 |
def BlackHoleCL(zImage,fImage,InputCL): |
| 1637 |
|
| 1638 |
kernel_params = {}
|
| 1639 |
|
| 1640 |
Device=InputCL['Device']
|
| 1641 |
GpuStyle=InputCL['GpuStyle']
|
| 1642 |
VariableType=InputCL['VariableType']
|
| 1643 |
Size=InputCL['Size']
|
| 1644 |
Mass=InputCL['Mass']
|
| 1645 |
InternalRadius=InputCL['InternalRadius']
|
| 1646 |
ExternalRadius=InputCL['ExternalRadius']
|
| 1647 |
Angle=InputCL['Angle']
|
| 1648 |
Method=InputCL['Method']
|
| 1649 |
TrackPoints=InputCL['TrackPoints']
|
| 1650 |
Physics=InputCL['Physics']
|
| 1651 |
NoImage=InputCL['NoImage']
|
| 1652 |
|
| 1653 |
PhysicsList=DictionariesAPI() |
| 1654 |
|
| 1655 |
if InputCL['BlackBody']: |
| 1656 |
# Spectrum is Black Body one
|
| 1657 |
Line=0
|
| 1658 |
else:
|
| 1659 |
# Spectrum is Monochromatic Line one
|
| 1660 |
Line=1
|
| 1661 |
|
| 1662 |
Trajectories=numpy.zeros((int(InputCL['Size']/2),InputCL['TrackPoints']),dtype=numpy.float32) |
| 1663 |
IdLast=numpy.zeros(int(InputCL['Size']/2),dtype=numpy.int32) |
| 1664 |
|
| 1665 |
# Je detecte un peripherique GPU dans la liste des peripheriques
|
| 1666 |
Id=0
|
| 1667 |
HasXPU=False
|
| 1668 |
for platform in cl.get_platforms(): |
| 1669 |
for device in platform.get_devices(): |
| 1670 |
if Id==Device:
|
| 1671 |
PF4XPU=platform.name |
| 1672 |
XPU=device |
| 1673 |
print("CPU/GPU selected: ",device.name.lstrip())
|
| 1674 |
HasXPU=True
|
| 1675 |
Id+=1
|
| 1676 |
|
| 1677 |
if HasXPU==False: |
| 1678 |
print("No XPU #%i found in all of %i devices, sorry..." % (Device,Id-1)) |
| 1679 |
sys.exit() |
| 1680 |
|
| 1681 |
ctx = cl.Context([XPU]) |
| 1682 |
queue = cl.CommandQueue(ctx, |
| 1683 |
properties=cl.command_queue_properties.PROFILING_ENABLE) |
| 1684 |
|
| 1685 |
BuildOptions="-DPHYSICS=%i -DSETTRACKPOINTS=%i " % (PhysicsList[Physics],InputCL['TrackPoints']) |
| 1686 |
|
| 1687 |
print('My Platform is ',PF4XPU)
|
| 1688 |
|
| 1689 |
if 'Intel' in PF4XPU or 'Experimental' in PF4XPU or 'Clover' in PF4XPU or 'Portable' in PF4XPU : |
| 1690 |
print('No extra options for Intel and Clover!')
|
| 1691 |
else:
|
| 1692 |
BuildOptions = BuildOptions+" -cl-mad-enable"
|
| 1693 |
|
| 1694 |
BlackHoleCL = cl.Program(ctx,BlobOpenCL).build(options = BuildOptions) |
| 1695 |
|
| 1696 |
# Je recupere les flag possibles pour les buffers
|
| 1697 |
mf = cl.mem_flags |
| 1698 |
|
| 1699 |
if Method=='TrajectoPixel' or Method=='TrajectoCircle': |
| 1700 |
TrajectoriesCL = cl.Buffer(ctx, mf.WRITE_ONLY | mf.COPY_HOST_PTR, hostbuf=Trajectories) |
| 1701 |
IdLastCL = cl.Buffer(ctx, mf.WRITE_ONLY | mf.COPY_HOST_PTR, hostbuf=IdLast) |
| 1702 |
|
| 1703 |
zImageCL = cl.Buffer(ctx, mf.WRITE_ONLY | mf.COPY_HOST_PTR, hostbuf=zImage) |
| 1704 |
fImageCL = cl.Buffer(ctx, mf.WRITE_ONLY | mf.COPY_HOST_PTR, hostbuf=fImage) |
| 1705 |
|
| 1706 |
start_time=time.time() |
| 1707 |
|
| 1708 |
if Method=='EachPixel': |
| 1709 |
CLLaunch=BlackHoleCL.EachPixel(queue,(zImage.shape[0],zImage.shape[1]), |
| 1710 |
None,zImageCL,fImageCL,
|
| 1711 |
numpy.float32(Mass), |
| 1712 |
numpy.float32(InternalRadius), |
| 1713 |
numpy.float32(ExternalRadius), |
| 1714 |
numpy.float32(Angle), |
| 1715 |
numpy.int32(Line)) |
| 1716 |
CLLaunch.wait() |
| 1717 |
elif Method=='Original': |
| 1718 |
CLLaunch=BlackHoleCL.Original(queue,(1,),
|
| 1719 |
None,zImageCL,fImageCL,
|
| 1720 |
numpy.uint32(zImage.shape[0]/2), |
| 1721 |
numpy.float32(Mass), |
| 1722 |
numpy.float32(InternalRadius), |
| 1723 |
numpy.float32(ExternalRadius), |
| 1724 |
numpy.float32(Angle), |
| 1725 |
numpy.int32(Line)) |
| 1726 |
CLLaunch.wait() |
| 1727 |
elif Method=='EachCircle': |
| 1728 |
CLLaunch=BlackHoleCL.EachCircle(queue,(int(zImage.shape[0]/2),), |
| 1729 |
None,zImageCL,fImageCL,
|
| 1730 |
numpy.float32(Mass), |
| 1731 |
numpy.float32(InternalRadius), |
| 1732 |
numpy.float32(ExternalRadius), |
| 1733 |
numpy.float32(Angle), |
| 1734 |
numpy.int32(Line)) |
| 1735 |
CLLaunch.wait() |
| 1736 |
elif Method=='TrajectoCircle': |
| 1737 |
CLLaunch=BlackHoleCL.Trajectory(queue,(Trajectories.shape[0],),
|
| 1738 |
None,TrajectoriesCL,IdLastCL,
|
| 1739 |
numpy.float32(Mass), |
| 1740 |
numpy.float32(InternalRadius), |
| 1741 |
numpy.float32(ExternalRadius), |
| 1742 |
numpy.float32(Angle), |
| 1743 |
numpy.int32(Line)) |
| 1744 |
|
| 1745 |
CLLaunch=BlackHoleCL.Circle(queue,(Trajectories.shape[0],
|
| 1746 |
int(zImage.shape[0]*4)),None, |
| 1747 |
TrajectoriesCL,IdLastCL, |
| 1748 |
zImageCL,fImageCL, |
| 1749 |
numpy.float32(Mass), |
| 1750 |
numpy.float32(InternalRadius), |
| 1751 |
numpy.float32(ExternalRadius), |
| 1752 |
numpy.float32(Angle), |
| 1753 |
numpy.int32(Line)) |
| 1754 |
CLLaunch.wait() |
| 1755 |
else:
|
| 1756 |
CLLaunch=BlackHoleCL.Trajectory(queue,(Trajectories.shape[0],),
|
| 1757 |
None,TrajectoriesCL,IdLastCL,
|
| 1758 |
numpy.float32(Mass), |
| 1759 |
numpy.float32(InternalRadius), |
| 1760 |
numpy.float32(ExternalRadius), |
| 1761 |
numpy.float32(Angle), |
| 1762 |
numpy.int32(Line)) |
| 1763 |
|
| 1764 |
CLLaunch=BlackHoleCL.Pixel(queue,(zImage.shape[0],zImage.shape[1]),None, |
| 1765 |
zImageCL,fImageCL,TrajectoriesCL,IdLastCL, |
| 1766 |
numpy.uint32(Trajectories.shape[0]),
|
| 1767 |
numpy.float32(Mass), |
| 1768 |
numpy.float32(InternalRadius), |
| 1769 |
numpy.float32(ExternalRadius), |
| 1770 |
numpy.float32(Angle), |
| 1771 |
numpy.int32(Line)) |
| 1772 |
CLLaunch.wait() |
| 1773 |
|
| 1774 |
compute = time.time()-start_time |
| 1775 |
|
| 1776 |
cl.enqueue_copy(queue,zImage,zImageCL).wait() |
| 1777 |
cl.enqueue_copy(queue,fImage,fImageCL).wait() |
| 1778 |
if Method=='TrajectoPixel' or Method=='TrajectoCircle': |
| 1779 |
cl.enqueue_copy(queue,Trajectories,TrajectoriesCL).wait() |
| 1780 |
cl.enqueue_copy(queue,IdLast,IdLastCL).wait() |
| 1781 |
elapsed = time.time()-start_time |
| 1782 |
print("\nCompute Time : %f" % compute)
|
| 1783 |
print("Elapsed Time : %f\n" % elapsed)
|
| 1784 |
|
| 1785 |
zMaxPosition=numpy.where(zImage[:,:]==zImage.max()) |
| 1786 |
fMaxPosition=numpy.where(fImage[:,:]==fImage.max()) |
| 1787 |
print("Z max @(%f,%f) : %f" % ((1.*zMaxPosition[1][0]/zImage.shape[1]-0.5,1.*zMaxPosition[0][0]/zImage.shape[0]-0.5,zImage.max()))) |
| 1788 |
print("Flux max @(%f,%f) : %f" % ((1.*fMaxPosition[1][0]/fImage.shape[1]-0.5,1.*fMaxPosition[0][0]/fImage.shape[0]-0.5,fImage.max()))) |
| 1789 |
zImageCL.release() |
| 1790 |
fImageCL.release() |
| 1791 |
|
| 1792 |
if Method=='TrajectoPixel' or Method=='TrajectoCircle': |
| 1793 |
if not NoImage: |
| 1794 |
AngleStep=4*numpy.pi/TrackPoints
|
| 1795 |
Angles=numpy.arange(0.,4*numpy.pi,AngleStep) |
| 1796 |
Angles.shape=(1,TrackPoints)
|
| 1797 |
Hostname=gethostname() |
| 1798 |
Date=time.strftime("%Y%m%d_%H%M%S")
|
| 1799 |
ImageInfo="%s_Device%i_%s_%s" % (Method,Device,Hostname,Date)
|
| 1800 |
|
| 1801 |
# numpy.savetxt("TrouNoirTrajectories_%s.csv" % ImageInfo,
|
| 1802 |
# numpy.transpose(numpy.concatenate((Angles,Trajectories),axis=0)),
|
| 1803 |
# delimiter=' ', fmt='%.2e')
|
| 1804 |
numpy.savetxt("TrouNoirTrajectories.csv",
|
| 1805 |
numpy.transpose(numpy.concatenate((Angles,Trajectories),axis=0)),
|
| 1806 |
delimiter=' ', fmt='%.2e') |
| 1807 |
|
| 1808 |
TrajectoriesCL.release() |
| 1809 |
IdLastCL.release() |
| 1810 |
|
| 1811 |
return(elapsed)
|
| 1812 |
|
| 1813 |
def BlackHoleCUDA(zImage,fImage,InputCL): |
| 1814 |
|
| 1815 |
kernel_params = {}
|
| 1816 |
|
| 1817 |
Device=InputCL['Device']
|
| 1818 |
GpuStyle=InputCL['GpuStyle']
|
| 1819 |
VariableType=InputCL['VariableType']
|
| 1820 |
Size=InputCL['Size']
|
| 1821 |
Mass=InputCL['Mass']
|
| 1822 |
InternalRadius=InputCL['InternalRadius']
|
| 1823 |
ExternalRadius=InputCL['ExternalRadius']
|
| 1824 |
Angle=InputCL['Angle']
|
| 1825 |
Method=InputCL['Method']
|
| 1826 |
TrackPoints=InputCL['TrackPoints']
|
| 1827 |
Physics=InputCL['Physics']
|
| 1828 |
Threads=InputCL['Threads']
|
| 1829 |
|
| 1830 |
PhysicsList=DictionariesAPI() |
| 1831 |
|
| 1832 |
if InputCL['BlackBody']: |
| 1833 |
# Spectrum is Black Body one
|
| 1834 |
Line=0
|
| 1835 |
else:
|
| 1836 |
# Spectrum is Monochromatic Line one
|
| 1837 |
Line=1
|
| 1838 |
|
| 1839 |
Trajectories=numpy.zeros((int(InputCL['Size']/2),InputCL['TrackPoints']),dtype=numpy.float32) |
| 1840 |
IdLast=numpy.zeros(int(InputCL['Size']/2),dtype=numpy.int32) |
| 1841 |
|
| 1842 |
try:
|
| 1843 |
# For PyCUDA import
|
| 1844 |
import pycuda.driver as cuda |
| 1845 |
from pycuda.compiler import SourceModule |
| 1846 |
|
| 1847 |
cuda.init() |
| 1848 |
for Id in range(cuda.Device.count()): |
| 1849 |
if Id==Device:
|
| 1850 |
XPU=cuda.Device(Id) |
| 1851 |
print("GPU selected %s" % XPU.name())
|
| 1852 |
print
|
| 1853 |
|
| 1854 |
except ImportError: |
| 1855 |
print("Platform does not seem to support CUDA")
|
| 1856 |
|
| 1857 |
Context=XPU.make_context() |
| 1858 |
|
| 1859 |
try:
|
| 1860 |
mod = SourceModule(KernelCodeCuda(),options=['--compiler-options','-DPHYSICS=%i -DSETTRACKPOINTS=%i' % (PhysicsList[Physics],TrackPoints)]) |
| 1861 |
print("Compilation seems to be OK")
|
| 1862 |
except:
|
| 1863 |
print("Compilation seems to break")
|
| 1864 |
|
| 1865 |
EachPixelCU=mod.get_function("EachPixel")
|
| 1866 |
OriginalCU=mod.get_function("Original")
|
| 1867 |
EachCircleCU=mod.get_function("EachCircle")
|
| 1868 |
TrajectoryCU=mod.get_function("Trajectory")
|
| 1869 |
PixelCU=mod.get_function("Pixel")
|
| 1870 |
CircleCU=mod.get_function("Circle")
|
| 1871 |
|
| 1872 |
TrajectoriesCU = cuda.mem_alloc(Trajectories.size*Trajectories.dtype.itemsize) |
| 1873 |
cuda.memcpy_htod(TrajectoriesCU, Trajectories) |
| 1874 |
zImageCU = cuda.mem_alloc(zImage.size*zImage.dtype.itemsize) |
| 1875 |
cuda.memcpy_htod(zImageCU, zImage) |
| 1876 |
fImageCU = cuda.mem_alloc(fImage.size*fImage.dtype.itemsize) |
| 1877 |
cuda.memcpy_htod(zImageCU, fImage) |
| 1878 |
IdLastCU = cuda.mem_alloc(IdLast.size*IdLast.dtype.itemsize) |
| 1879 |
cuda.memcpy_htod(IdLastCU, IdLast) |
| 1880 |
|
| 1881 |
start_time=time.time() |
| 1882 |
|
| 1883 |
if Method=='EachPixel': |
| 1884 |
EachPixelCU(zImageCU,fImageCU, |
| 1885 |
numpy.float32(Mass), |
| 1886 |
numpy.float32(InternalRadius), |
| 1887 |
numpy.float32(ExternalRadius), |
| 1888 |
numpy.float32(Angle), |
| 1889 |
numpy.int32(Line), |
| 1890 |
grid=(int(zImage.shape[0]/Threads), |
| 1891 |
int(zImage.shape[1]/Threads)), |
| 1892 |
block=(Threads,Threads,1))
|
| 1893 |
elif Method=='EachCircle': |
| 1894 |
EachCircleCU(zImageCU,fImageCU, |
| 1895 |
numpy.float32(Mass), |
| 1896 |
numpy.float32(InternalRadius), |
| 1897 |
numpy.float32(ExternalRadius), |
| 1898 |
numpy.float32(Angle), |
| 1899 |
numpy.int32(Line), |
| 1900 |
grid=(int(zImage.shape[0]/Threads/2),1), |
| 1901 |
block=(Threads,1,1)) |
| 1902 |
elif Method=='Original': |
| 1903 |
OriginalCU(zImageCU,fImageCU, |
| 1904 |
numpy.uint32(zImage.shape[0]/2), |
| 1905 |
numpy.float32(Mass), |
| 1906 |
numpy.float32(InternalRadius), |
| 1907 |
numpy.float32(ExternalRadius), |
| 1908 |
numpy.float32(Angle), |
| 1909 |
numpy.int32(Line), |
| 1910 |
grid=(1,1), |
| 1911 |
block=(1,1,1)) |
| 1912 |
elif Method=='TrajectoCircle': |
| 1913 |
TrajectoryCU(TrajectoriesCU,IdLastCU, |
| 1914 |
numpy.float32(Mass), |
| 1915 |
numpy.float32(InternalRadius), |
| 1916 |
numpy.float32(ExternalRadius), |
| 1917 |
numpy.float32(Angle), |
| 1918 |
numpy.int32(Line), |
| 1919 |
grid=(int(Trajectories.shape[0]/Threads),1), |
| 1920 |
block=(Threads,1,1)) |
| 1921 |
|
| 1922 |
CircleCU(TrajectoriesCU,IdLastCU,zImageCU,fImageCU, |
| 1923 |
numpy.float32(Mass), |
| 1924 |
numpy.float32(InternalRadius), |
| 1925 |
numpy.float32(ExternalRadius), |
| 1926 |
numpy.float32(Angle), |
| 1927 |
numpy.int32(Line), |
| 1928 |
grid=(int(Trajectories.shape[0]/Threads), |
| 1929 |
int(zImage.shape[0]*4/Threads)), |
| 1930 |
block=(Threads,Threads,1))
|
| 1931 |
else:
|
| 1932 |
# Default method: TrajectoPixel
|
| 1933 |
TrajectoryCU(TrajectoriesCU,IdLastCU, |
| 1934 |
numpy.float32(Mass), |
| 1935 |
numpy.float32(InternalRadius), |
| 1936 |
numpy.float32(ExternalRadius), |
| 1937 |
numpy.float32(Angle), |
| 1938 |
numpy.int32(Line), |
| 1939 |
grid=(int(Trajectories.shape[0]/Threads),1), |
| 1940 |
block=(Threads,1,1)) |
| 1941 |
|
| 1942 |
PixelCU(zImageCU,fImageCU,TrajectoriesCU,IdLastCU, |
| 1943 |
numpy.uint32(Trajectories.shape[0]),
|
| 1944 |
numpy.float32(Mass), |
| 1945 |
numpy.float32(InternalRadius), |
| 1946 |
numpy.float32(ExternalRadius), |
| 1947 |
numpy.float32(Angle), |
| 1948 |
numpy.int32(Line), |
| 1949 |
grid=(int(zImage.shape[0]/Threads), |
| 1950 |
int(zImage.shape[1]/Threads),1), |
| 1951 |
block=(Threads,Threads,1))
|
| 1952 |
|
| 1953 |
Context.synchronize() |
| 1954 |
|
| 1955 |
compute = time.time()-start_time |
| 1956 |
|
| 1957 |
cuda.memcpy_dtoh(zImage,zImageCU) |
| 1958 |
cuda.memcpy_dtoh(fImage,fImageCU) |
| 1959 |
if Method=='TrajectoPixel' or Method=='TrajectoCircle': |
| 1960 |
cuda.memcpy_dtoh(Trajectories,TrajectoriesCU) |
| 1961 |
elapsed = time.time()-start_time |
| 1962 |
print("\nCompute Time : %f" % compute)
|
| 1963 |
print("Elapsed Time : %f\n" % elapsed)
|
| 1964 |
|
| 1965 |
zMaxPosition=numpy.where(zImage[:,:]==zImage.max()) |
| 1966 |
fMaxPosition=numpy.where(fImage[:,:]==fImage.max()) |
| 1967 |
print("Z max @(%f,%f) : %f" % ((1.*zMaxPosition[1][0]/zImage.shape[1]-0.5,1.*zMaxPosition[0][0]/zImage.shape[0]-0.5,zImage.max()))) |
| 1968 |
print("Flux max @(%f,%f) : %f" % ((1.*fMaxPosition[1][0]/fImage.shape[1]-0.5,1.*fMaxPosition[0][0]/fImage.shape[0]-0.5,fImage.max()))) |
| 1969 |
|
| 1970 |
|
| 1971 |
Context.pop() |
| 1972 |
|
| 1973 |
Context.detach() |
| 1974 |
|
| 1975 |
if Method=='TrajectoPixel' or Method=='TrajectoCircle': |
| 1976 |
if not NoImage: |
| 1977 |
AngleStep=4*numpy.pi/TrackPoints
|
| 1978 |
Angles=numpy.arange(0.,4*numpy.pi,AngleStep) |
| 1979 |
Angles.shape=(1,TrackPoints)
|
| 1980 |
Hostname=gethostname() |
| 1981 |
Date=time.strftime("%Y%m%d_%H%M%S")
|
| 1982 |
ImageInfo="%s_Device%i_%s_%s" % (Method,Device,Hostname,Date)
|
| 1983 |
|
| 1984 |
# numpy.savetxt("TrouNoirTrajectories_%s.csv" % ImageInfo,
|
| 1985 |
# numpy.transpose(numpy.concatenate((Angles,Trajectories),axis=0)),
|
| 1986 |
# delimiter=' ', fmt='%.2e')
|
| 1987 |
numpy.savetxt("TrouNoirTrajectories.csv",
|
| 1988 |
numpy.transpose(numpy.concatenate((Angles,Trajectories),axis=0)),
|
| 1989 |
delimiter=' ', fmt='%.2e') |
| 1990 |
|
| 1991 |
|
| 1992 |
return(elapsed)
|
| 1993 |
|
| 1994 |
if __name__=='__main__': |
| 1995 |
|
| 1996 |
GpuStyle = 'OpenCL'
|
| 1997 |
Mass = 1.
|
| 1998 |
# Internal Radius 3 times de Schwarzschild Radius
|
| 1999 |
InternalRadius=6.*Mass
|
| 2000 |
#
|
| 2001 |
ExternalRadius=12.
|
| 2002 |
#
|
| 2003 |
# Angle with normal to disc 10 degrees
|
| 2004 |
Angle = numpy.pi/180.*(90.-10.) |
| 2005 |
# Radiation of disc : BlackBody or Monochromatic
|
| 2006 |
BlackBody = False
|
| 2007 |
# Size of image
|
| 2008 |
Size=256
|
| 2009 |
# Variable Type
|
| 2010 |
VariableType='FP32'
|
| 2011 |
# ?
|
| 2012 |
q=-2
|
| 2013 |
# Method of resolution
|
| 2014 |
Method='TrajectoPixel'
|
| 2015 |
# Colors for output image
|
| 2016 |
Colors='Greyscale'
|
| 2017 |
# Physics
|
| 2018 |
Physics='Einstein'
|
| 2019 |
# No output as image
|
| 2020 |
NoImage = False
|
| 2021 |
# Threads in CUDA
|
| 2022 |
Threads = 32
|
| 2023 |
# Trackpoints of trajectories
|
| 2024 |
TrackPoints=2048
|
| 2025 |
|
| 2026 |
HowToUse='%s -h [Help] -b [BlackBodyEmission] -n [NoImage] -p <Einstein/Newton> -s <SizeInPixels> -m <Mass> -i <DiscInternalRadius> -x <DiscExternalRadius> -a <AngleAboveDisc> -d <DeviceId> -c <Greyscale/Red2Yellow> -g <CUDA/OpenCL> -o <EachPixel/TrajectoCircle/TrajectoPixel/EachCircle/Original> -t <ThreadsInCuda> -v <FP32/FP64> -k <TrackPoints>'
|
| 2027 |
|
| 2028 |
try:
|
| 2029 |
opts, args = getopt.getopt(sys.argv[1:],"hbns:m:i:x:a:d:g:v:o:t:c:p:k:",["blackbody","noimage","camera","size=","mass=","internal=","external=","angle=","device=","gpustyle=","variabletype=","method=","threads=","colors=","physics=","trackpoints="]) |
| 2030 |
except getopt.GetoptError:
|
| 2031 |
print(HowToUse % sys.argv[0])
|
| 2032 |
sys.exit(2)
|
| 2033 |
|
| 2034 |
# List of Devices
|
| 2035 |
Devices=[] |
| 2036 |
Alu={}
|
| 2037 |
|
| 2038 |
for opt, arg in opts: |
| 2039 |
if opt == '-h': |
| 2040 |
print(HowToUse % sys.argv[0])
|
| 2041 |
|
| 2042 |
print("\nInformations about devices detected under OpenCL API:")
|
| 2043 |
# For PyOpenCL import
|
| 2044 |
try:
|
| 2045 |
import pyopencl as cl |
| 2046 |
Id=0
|
| 2047 |
for platform in cl.get_platforms(): |
| 2048 |
for device in platform.get_devices(): |
| 2049 |
#deviceType=cl.device_type.to_string(device.type)
|
| 2050 |
deviceType="xPU"
|
| 2051 |
print("Device #%i from %s of type %s : %s" % (Id,platform.vendor.lstrip(),deviceType,device.name.lstrip()))
|
| 2052 |
Id=Id+1
|
| 2053 |
|
| 2054 |
except:
|
| 2055 |
print("Your platform does not seem to support OpenCL")
|
| 2056 |
|
| 2057 |
print("\nInformations about devices detected under CUDA API:")
|
| 2058 |
# For PyCUDA import
|
| 2059 |
try:
|
| 2060 |
import pycuda.driver as cuda |
| 2061 |
cuda.init() |
| 2062 |
for Id in range(cuda.Device.count()): |
| 2063 |
device=cuda.Device(Id) |
| 2064 |
print("Device #%i of type GPU : %s" % (Id,device.name()))
|
| 2065 |
print
|
| 2066 |
except:
|
| 2067 |
print("Your platform does not seem to support CUDA")
|
| 2068 |
|
| 2069 |
sys.exit() |
| 2070 |
|
| 2071 |
elif opt in ("-d", "--device"): |
| 2072 |
# Devices.append(int(arg))
|
| 2073 |
Device=int(arg)
|
| 2074 |
elif opt in ("-g", "--gpustyle"): |
| 2075 |
GpuStyle = arg |
| 2076 |
elif opt in ("-v", "--variabletype"): |
| 2077 |
VariableType = arg |
| 2078 |
elif opt in ("-s", "--size"): |
| 2079 |
Size = int(arg)
|
| 2080 |
elif opt in ("-k", "--trackpoints"): |
| 2081 |
TrackPoints = int(arg)
|
| 2082 |
elif opt in ("-m", "--mass"): |
| 2083 |
Mass = float(arg)
|
| 2084 |
elif opt in ("-i", "--internal"): |
| 2085 |
InternalRadius = float(arg)
|
| 2086 |
elif opt in ("-e", "--external"): |
| 2087 |
ExternalRadius = float(arg)
|
| 2088 |
elif opt in ("-a", "--angle"): |
| 2089 |
Angle = numpy.pi/180.*(90.-float(arg)) |
| 2090 |
elif opt in ("-b", "--blackbody"): |
| 2091 |
BlackBody = True
|
| 2092 |
elif opt in ("-n", "--noimage"): |
| 2093 |
NoImage = True
|
| 2094 |
elif opt in ("-o", "--method"): |
| 2095 |
Method = arg |
| 2096 |
elif opt in ("-t", "--threads"): |
| 2097 |
Threads = int(arg)
|
| 2098 |
elif opt in ("-c", "--colors"): |
| 2099 |
Colors = arg |
| 2100 |
elif opt in ("-p", "--physics"): |
| 2101 |
Physics = arg |
| 2102 |
|
| 2103 |
print("Device Identification selected : %s" % Device)
|
| 2104 |
print("GpuStyle used : %s" % GpuStyle)
|
| 2105 |
print("VariableType : %s" % VariableType)
|
| 2106 |
print("Size : %i" % Size)
|
| 2107 |
print("Mass : %f" % Mass)
|
| 2108 |
print("Internal Radius : %f" % InternalRadius)
|
| 2109 |
print("External Radius : %f" % ExternalRadius)
|
| 2110 |
print("Angle with normal of (in radians) : %f" % Angle)
|
| 2111 |
print("Black Body Disc Emission (monochromatic instead) : %s" % BlackBody)
|
| 2112 |
print("Method of resolution : %s" % Method)
|
| 2113 |
print("Colors for output images : %s" % Colors)
|
| 2114 |
print("Physics used for Trajectories : %s" % Physics)
|
| 2115 |
print("Trackpoints of Trajectories : %i" % TrackPoints)
|
| 2116 |
|
| 2117 |
if GpuStyle=='CUDA': |
| 2118 |
print("\nSelection of CUDA device")
|
| 2119 |
try:
|
| 2120 |
# For PyCUDA import
|
| 2121 |
import pycuda.driver as cuda |
| 2122 |
|
| 2123 |
cuda.init() |
| 2124 |
for Id in range(cuda.Device.count()): |
| 2125 |
device=cuda.Device(Id) |
| 2126 |
print("Device #%i of type GPU : %s" % (Id,device.name()))
|
| 2127 |
if Id in Devices: |
| 2128 |
Alu[Id]='GPU'
|
| 2129 |
|
| 2130 |
except ImportError: |
| 2131 |
print("Platform does not seem to support CUDA")
|
| 2132 |
|
| 2133 |
if GpuStyle=='OpenCL': |
| 2134 |
print("\nSelection of OpenCL device")
|
| 2135 |
try:
|
| 2136 |
# For PyOpenCL import
|
| 2137 |
import pyopencl as cl |
| 2138 |
Id=0
|
| 2139 |
for platform in cl.get_platforms(): |
| 2140 |
for device in platform.get_devices(): |
| 2141 |
#deviceType=cl.device_type.to_string(device.type)
|
| 2142 |
deviceType="xPU"
|
| 2143 |
print("Device #%i from %s of type %s : %s" % (Id,platform.vendor.lstrip().rstrip(),deviceType,device.name.lstrip().rstrip()))
|
| 2144 |
|
| 2145 |
if Id in Devices: |
| 2146 |
# Set the Alu as detected Device Type
|
| 2147 |
Alu[Id]=deviceType |
| 2148 |
Id=Id+1
|
| 2149 |
except ImportError: |
| 2150 |
print("Platform does not seem to support OpenCL")
|
| 2151 |
|
| 2152 |
|
| 2153 |
zImage=numpy.zeros((Size,Size),dtype=numpy.float32) |
| 2154 |
fImage=numpy.zeros((Size,Size),dtype=numpy.float32) |
| 2155 |
|
| 2156 |
InputCL={}
|
| 2157 |
InputCL['Device']=Device
|
| 2158 |
InputCL['GpuStyle']=GpuStyle
|
| 2159 |
InputCL['VariableType']=VariableType
|
| 2160 |
InputCL['Size']=Size
|
| 2161 |
InputCL['Mass']=Mass
|
| 2162 |
InputCL['InternalRadius']=InternalRadius
|
| 2163 |
InputCL['ExternalRadius']=ExternalRadius
|
| 2164 |
InputCL['Angle']=Angle
|
| 2165 |
InputCL['BlackBody']=BlackBody
|
| 2166 |
InputCL['Method']=Method
|
| 2167 |
InputCL['TrackPoints']=TrackPoints
|
| 2168 |
InputCL['Physics']=Physics
|
| 2169 |
InputCL['Threads']=Threads
|
| 2170 |
InputCL['NoImage']=NoImage
|
| 2171 |
|
| 2172 |
if GpuStyle=='OpenCL': |
| 2173 |
duration=BlackHoleCL(zImage,fImage,InputCL) |
| 2174 |
else:
|
| 2175 |
duration=BlackHoleCUDA(zImage,fImage,InputCL) |
| 2176 |
|
| 2177 |
Hostname=gethostname() |
| 2178 |
Date=time.strftime("%Y%m%d_%H%M%S")
|
| 2179 |
ImageInfo="%s_Device%i_%s_%s" % (Method,Device,Hostname,Date)
|
| 2180 |
|
| 2181 |
|
| 2182 |
if not NoImage: |
| 2183 |
ImageOutput(zImage,"TrouNoirZ_%s" % ImageInfo,Colors)
|
| 2184 |
ImageOutput(fImage,"TrouNoirF_%s" % ImageInfo,Colors)
|