55 lines
		
	
	
		
			2.1 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
			
		
		
	
	
			55 lines
		
	
	
		
			2.1 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
| # ##### BEGIN GPL LICENSE BLOCK #####
 | |
| #
 | |
| #  This program is free software; you can redistribute it and/or
 | |
| #  modify it under the terms of the GNU General Public License
 | |
| #  as published by the Free Software Foundation; either version 2
 | |
| #  of the License, or (at your option) any later version.
 | |
| #
 | |
| #  This program is distributed in the hope that it will be useful,
 | |
| #  but WITHOUT ANY WARRANTY; without even the implied warranty of
 | |
| #  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 | |
| #  GNU General Public License for more details.
 | |
| #
 | |
| #  You should have received a copy of the GNU General Public License
 | |
| #  along with this program; if not, write to the Free Software Foundation,
 | |
| #  Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 | |
| #
 | |
| # ##### END GPL LICENSE BLOCK #####
 | |
| 
 | |
| import numpy as np
 | |
| try:
 | |
|     from numba import jit
 | |
|     print("Tissue: Numba module loaded succesfully")
 | |
|     @jit
 | |
|     def numba_reaction_diffusion(n_verts, n_edges, edge_verts, a, b, diff_a, diff_b, f, k, dt, time_steps):
 | |
|         arr = np.arange(n_edges)*2
 | |
|         id0 = edge_verts[arr]     # first vertex indices for each edge
 | |
|         id1 = edge_verts[arr+1]   # second vertex indices for each edge
 | |
|         for i in range(time_steps):
 | |
|             lap_a = np.zeros(n_verts)
 | |
|             lap_b = np.zeros(n_verts)
 | |
|             lap_a0 =  a[id1] -  a[id0]   # laplacian increment for first vertex of each edge
 | |
|             lap_b0 =  b[id1] -  b[id0]   # laplacian increment for first vertex of each edge
 | |
| 
 | |
|             for i, j, la0, lb0 in zip(id0,id1,lap_a0,lap_b0):
 | |
|                 lap_a[i] += la0
 | |
|                 lap_b[i] += lb0
 | |
|                 lap_a[j] -= la0
 | |
|                 lap_b[j] -= lb0
 | |
|             ab2 = a*b**2
 | |
|             #a += eval("(diff_a*lap_a - ab2 + f*(1-a))*dt")
 | |
|             #b += eval("(diff_b*lap_b + ab2 - (k+f)*b)*dt")
 | |
|             a += (diff_a*lap_a - ab2 + f*(1-a))*dt
 | |
|             b += (diff_b*lap_b + ab2 - (k+f)*b)*dt
 | |
|         return a, b
 | |
| 
 | |
|     @jit
 | |
|     def numba_lerp2(v00, v10, v01, v11, vx, vy):
 | |
|         co0 = v00 + (v10 - v00) * vx
 | |
|         co1 = v01 + (v11 - v01) * vx
 | |
|         co2 = co0 + (co1 - co0) * vy
 | |
|         return co2
 | |
| except:
 | |
|     print("Tissue: Numba not installed")
 | |
|     pass
 |