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carre_jef.py
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carre_jef.py
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#!/usr/bin/python3
import os
import sys
import time
import ctypes
import subprocess
SautsCavalier = ( (1,2),(2,1),(1,-2),(2,-1),(-1,2),(-2,1),(-1,-2),(-2,-1) )
SautsCarre = ( (3,0),(0,3),(-3,0),(0,-3),(2,2),(-2,2),(2,-2),(-2,-2) )
SAUTS_PER_DEPTH=1
# --------------------------------------------------------------------------------------------------------------------------------------
def genLibraryOptimized( board_w, board_h, LesSauts, result="nb_solutions" ):
def genLibraryOptimized_Aux( nb_sauts, i, j, masque ):
output = ""
if (depth + nb_sauts) == (board_w*board_h-1):
output += " nb_solutions += ((masque & " + str( masque ).rjust(12," ") + "u ) == 0 ); // "+ "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
elif nb_sauts == SAUTS_PER_DEPTH:
output += " if ((masque & " + str( masque ).rjust(12," ") + "u ) == 0 ) { // "+ "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " masque ^= " + str( masque ) + "u;\n"
output += " SauteDepuis_" + str(i) + "_" + str(j) +"_" + str(depth+SAUTS_PER_DEPTH) + "();\n"
output += " masque ^= " + str( masque ) + "u;\n"
output += " }\n"
else:
for ( sx, sy ) in LesSauts:
i1 = i + sx
j1 = j + sy
if (i1>=0) and (i1<board_w) and (j1>=0) and (j1<board_h):
if (masque & (1 << (i1 + j1*board_w))) == 0:
new_masque = masque | (1 << (i1 + j1*board_w))
output += genLibraryOptimized_Aux( nb_sauts+1, i1, j1, new_masque )
return output
defs = "typedef unsigned long long int uint64;\n"
output = "uint64 nb_solutions;" + "\n"
output += "uint64 masque;" + "\n"
defs += "void start( uint64 position );" + "\n"
output += "void start( uint64 position ) {" + "\n"
output += " nb_solutions = 0; " + "\n"
output += " masque = 0u; " + "\n"
output += " switch ( position ) {" + "\n"
for j in range(board_h):
for i in range(board_w):
output += " case " + str( i + j*board_w ) + ":\n"
output += " masque ^= " + str( 1 << (i + j*board_w)) +"u;\n" # Mark initial position
output += " SauteDepuis_"+ str(i) +"_"+ str(j)+"_0 ();\n"
output += " break;\n"
output += " }\n"
output += "}\n\n"
for depth in range(0, board_w*board_h-1, SAUTS_PER_DEPTH):
for j in range(board_h):
for i in range(board_w):
defs += 'void SauteDepuis_' + str(i) + "_" + str(j) + "_" + str(depth) + "();" + "\n"
output += 'void SauteDepuis_' + str(i) + "_" + str(j) + "_" + str(depth) + "() {" + "\n"
output += genLibraryOptimized_Aux( 0, i, j, 0 )
output += "}\n\n"
defs += "\n"
return defs + output
# --------------------------------------------------------------------------------------------------------------------------------------
nb_labels = 0
def genLibraryOptimizedASM( board_w, board_h, LesSauts, result="nb_solutions" ):
def CheckIsolatedNeighbours( previous_pos ):
output = ""
for (i,j) in previous_pos:
for ( sx, sy ) in LesSauts:
ineigh = i + sx
jneigh = j + sy
if (ineigh>=0) and (ineigh<board_w) and (jneigh>=0) and (jneigh<board_h):
neigh_mask_a = 0
neigh_mask_b = (1 << (ineigh + jneigh*board_w))
for ( sx, sy ) in LesSauts:
ineigh_neigh = ineigh + sx
jneigh_neigh = jneigh + sy
if (ineigh_neigh>=0) and (ineigh_neigh<board_w) and (jneigh_neigh>=0) and (jneigh_neigh<board_h):
neigh_mask_a = neigh_mask_a | (1 << (ineigh_neigh + jneigh_neigh*board_w))
neigh_mask_b = neigh_mask_b | (1 << (ineigh_neigh + jneigh_neigh*board_w))
output += " mov rdi, "+str( neigh_mask_b ).rjust(12," ") + " ; " + "{0:b}".format(neigh_mask_b).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " and rdi, rcx\n"
output += " mov rbx, "+str( neigh_mask_a ).rjust(12," ") + " ; " + "{0:b}".format(neigh_mask_b).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " test rdi, rbx\n"
output += " je label"+str( nb_labels )+"\n"
return output
def genLibraryOptimizedASM_Aux( nb_sauts, i, j, masque, previous_pos ):
global nb_labels
output = ""
if (depth + nb_sauts) == (board_w*board_h-1):
if result == "nb_solutions":
if masque > ( 1<<30 ):
output += " mov rbx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " test rcx, rbx\n"
else:
output += " test rcx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " sete al\n"
output += " add rdx, rax\n"
elif result == "nb_leaves":
output += " inc rdx\n"
elif nb_sauts == SAUTS_PER_DEPTH:
if masque > ( 1<<30 ):
output += " mov rbx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " test rcx, rbx\n"
output += " jne label"+str( nb_labels )+"\n"
#if depth > 25:
# output += CheckIsolatedNeighbours( previous_pos )
output += " push rcx\n"
output += " xor rcx, rbx\n"
if (result == "nb_calls") or ( result == "depth"+str(depth) ):
output += " inc rdx\n"
output += " call SauteDepuis_" + str(i) + "_" + str(j) +"_" + str(depth+SAUTS_PER_DEPTH) + "\n"
output += " pop rcx\n"
output += " label"+str( nb_labels )+":\n"
else:
output += " test rcx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " jne label"+str( nb_labels )+"\n"
#if depth > 25:
# output += CheckIsolatedNeighbours( previous_pos )
output += " xor rcx, "+str( masque ).rjust(12," ") + "\n"
if (result == "nb_calls") or ( result == "depth"+str(depth) ):
output += " inc rdx\n"
output += " call SauteDepuis_" + str(i) + "_" + str(j) +"_" + str(depth+SAUTS_PER_DEPTH) + "\n"
output += " xor rcx, "+str( masque ).rjust(12," ") + "\n"
output += " label"+str( nb_labels )+":\n"
nb_labels += 1
else:
for ( sx, sy ) in LesSauts:
i1 = i + sx
j1 = j + sy
if (i1>=0) and (i1<board_w) and (j1>=0) and (j1<board_h):
if (masque & (1 << (i1 + j1*board_w))) == 0:
new_masque = masque | (1 << (i1 + j1*board_w))
output += genLibraryOptimizedASM_Aux( nb_sauts+1, i1, j1, new_masque, previous_pos+[(i,j)] )
return output
def genLibraryOptimizedASM_Aux32( nb_sauts, i, j, masque, previous_pos ):
global nb_labels
output = ""
if (depth + nb_sauts) == (board_w*board_h-1):
if result == "nb_solutions":
if masque > 0xffffffff:
output += " test ebx, "+str( masque >> 32 ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
else:
output += " test ecx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " sete al\n"
output += " add rdx, rax\n"
elif result == "nb_leaves":
output += " inc rdx\n"
elif nb_sauts == SAUTS_PER_DEPTH:
if masque > 0xffffffff:
output += " test ebx, "+str( masque >> 32 ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " jne label"+str( nb_labels )+"\n"
output += " xor ebx, "+str( masque >> 32 ).rjust(12," ") + "\n"
if (result == "nb_calls") or ( result == "depth"+str(depth) ):
output += " inc rdx\n"
output += " call SauteDepuis_" + str(i) + "_" + str(j) +"_" + str(depth+SAUTS_PER_DEPTH) + "\n"
output += " xor ebx, "+str( masque >> 32 ).rjust(12," ") + "\n"
output += " label"+str( nb_labels )+":\n"
else:
output += " test ecx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n"
output += " jne label"+str( nb_labels )+"\n"
output += " xor ecx, "+str( masque ).rjust(12," ") + "\n"
if (result == "nb_calls") or ( result == "depth"+str(depth) ):
output += " inc rdx\n"
output += " call SauteDepuis_" + str(i) + "_" + str(j) +"_" + str(depth+SAUTS_PER_DEPTH) + "\n"
output += " xor ecx, "+str( masque ).rjust(12," ") + "\n"
output += " label"+str( nb_labels )+":\n"
nb_labels += 1
else:
for ( sx, sy ) in LesSauts:
i1 = i + sx
j1 = j + sy
if (i1>=0) and (i1<board_w) and (j1>=0) and (j1<board_h):
if (masque & (1 << (i1 + j1*board_w))) == 0:
new_masque = masque | (1 << (i1 + j1*board_w))
output += genLibraryOptimizedASM_Aux32( nb_sauts+1, i1, j1, new_masque, previous_pos+[(i,j)] )
return output
#symbols = "global nb_solutions\n"
symbols = "BITS 64\n"
#symbols += ".intel_syntax noprefix\n"
output = ""
#output += "section .data\n"
#output += "nb_solutions: dq 2\n"
output += "section .text\n"
for j in range(board_h):
for i in range(board_w):
masque = (1 << (i + j*board_w))
symbols += 'global start_' + str(i) + "_" + str(j) + "\n"
output += "start_" + str(i) + "_" + str(j) + ":\n"
output += " xor rax, rax\n" # for incrementing nb_solutions
output += " xor rbx, rbx\n" # for transfering imediate values bigger than (1<<31)
output += " xor rcx, rcx \n" # Mask
output += " xor rdx, rdx \n" # return value
output += " mov rcx, "+str( masque ).rjust(12," ") + " ; " + "{0:b}".format(masque).rjust(64,"0") +" i="+str(i)+",j="+str(j)+"\n" # Mark initial position
output += " call SauteDepuis_"+ str(i) +"_"+ str(j)+"_0\n"
# http://www.tortall.net/projects/yasm/manual/html/manual.html#objfmt-elf64-wrt
#output += " mov [rel nb_solutions wrt ..gotpcrel], rdx\n"
#output += " mov [rel nb_solutions wrt ..got], rdx\n"
#output += " mov [rel nb_solutions wrt ..plt], rdx\n"
##output += " mov [rel nb_solutions wrt ..sym], rdx\n"
output += " mov rax, rdx\n"
output += " ret\n"
output += "\n"
for depth in range(0, board_w*board_h-1, SAUTS_PER_DEPTH):
for j in range(board_h):
for i in range(board_w):
output += 'SauteDepuis_' + str(i) + "_" + str(j) + "_" + str(depth) + ":\n"
output += genLibraryOptimizedASM_Aux32( 0, i, j, 0, [] )
output += " ret\n\n"
return symbols + output
# --------------------------------------------------------------------------------------------------------------------------------------
def CompileLib(w, h, S, result="nb_solutions"):
f = "libSaute"
gen = open(f+".c", "w")
gen.write(genLibraryOptimized(w, h, S, result))
gen.close()
GCC_BIN = "gcc"
GCC_PARAMS = "-O3 -shared -fPIC"
if (not os.path.exists(f + ".so")) or (os.path.getmtime(f + ".c") > os.path.getmtime(f + ".so")):
GCC_FILES = f + ".c -o " + f + ".so"
GCC_CMD = GCC_BIN + " " + GCC_PARAMS + " " + GCC_FILES
print(GCC_CMD)
(val, output) = subprocess.getstatusoutput(GCC_CMD)
if val != 0:
print(output)
def CompileLibASM(w, h, S, result="nb_solutions"):
f = "libSaute"
gen = open(f+".asm", "w")
gen.write(genLibraryOptimizedASM(w, h, S, result))
gen.close()
YASM_BIN = "yasm "
YASM_PARAMS = "-f elf64"
LD_BIN = "ld "
LD_PARAMS = "-shared"
if (not os.path.exists(f + ".o")) or (os.path.getmtime(f + ".asm") > os.path.getmtime(f + ".o")):
YASM_FILES = f + ".asm -o " + f + ".o"
YASM_CMD = YASM_BIN + " " + YASM_PARAMS + " " + YASM_FILES
#print(YASM_CMD)
(val, output) = subprocess.getstatusoutput(YASM_CMD)
if val != 0:
print(output)
if (not os.path.exists(f + ".so")) or (os.path.getmtime(f + ".o") > os.path.getmtime(f + ".so")):
LD_FILES = f + ".o -o " + f + ".so"
LD_CMD = LD_BIN + " " + LD_PARAMS + " " + LD_FILES
#print(LD_CMD)
(val, output) = subprocess.getstatusoutput(LD_CMD)
if val != 0:
print(output)
return "Ok"
# --------------------------------------------------------------------------------------------------------------------------------------
# ----- Chronos
topTime = {}
def top( n=0 ):
if not n in topTime:
topTime[ n ] = 0
r = "%.2f" % (time.time() - topTime[ n ] ) + "s"
topTime[ n ] = time.time()
return r
if __name__ == "__main__":
if len(sys.argv) < 2:
print("Vous devez donner les dimensions")
exit(1)
result="nb_solutions"
S = SautsCarre
w = int(sys.argv[1])
h = int(sys.argv[2])
if len(sys.argv) > 2:
SAUTS_PER_DEPTH = int(sys.argv[3])
if len(sys.argv) > 4:
result = sys.argv[4]
print("Compiling : ", end="")
sys.stdout.flush()
top(0)
#CompileLib(w, h, S, result)
CompileLibASM(w, h, S, result)
print(top(0))
sys.stdout.flush()
#print("Starting")
LibSaute = ctypes.cdll.LoadLibrary("./libSaute.so")
#LibSaute.start.argtypes = [ctypes.c_ulonglong, ]
positions_to_check = []
for j in range((h+1)//2):
for i in range((w+1)//2):
if w == h:
if j>=i:
positions_to_check.append( (i, j) )
else:
positions_to_check.append( (i, j) )
#print( positions_to_check )
for (i, j) in positions_to_check:
print("" + str(i+1) + " x " + str(j+1), end=" : ")
sys.stdout.flush()
top(1)
#LibSaute.start(i + j * w)
s = getattr(LibSaute, "start_"+str(i)+"_"+str(j))
s.restype = ctypes.c_int64
r = s()
print( r, "in", top(1) )
#print("in " + str().rjust(25, " "), end=" seconds = ")
#print("" + str(ctypes.c_int.in_dll( LibSaute, "nb_solutions" ).value), " solutions")
sys.stdout.flush()