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optimizied, but not fully operatial on ecc, genidct.py needs some fixing, not all files needed are committed. stay tuned.
#! /usr/bin/python
import math
pre_shuffle = [ 0, 4, 2, 6, 1, 7, 3, 5 ]
post_shuffle = [ 0, 1, 6, 3, 7, 2, 5, 4 ]
constants = 16
float_scratch = range(32, 32+constants)
regbase = max(float_scratch)+1
intregbase = 33
def print_matrix(matrix,s=''):
if s != '':
print "\n\t// %s" % s
for i in range(0, 8):
print "\t// ",
for j in range(0, 4):
print "%2d" % matrix[i*4+j],
print ""
def exchange_elements(list, a, b):
""" Exchange two list elements
"""
(list[a], list[b]) = (list[b], list[a])
def alloc_regs(matrix, n):
""" get the smallest register not used by the matrix
"""
regs = [ ]
for i in range(0, n):
m = regbase
while m in matrix or m in regs:
m = m + 1
regs.append(m)
return regs
def transpose_2x2_submatrix(matrix, i, j):
""" transpose a 2x2 submatrix in the 8x8 matrix
"""
a = j
b = i
tmp = matrix[i*8+j]
matrix[i*8+j] = matrix[a*8+b]
matrix[a*8+b] = tmp
tmp = matrix[i*8+j+4]
matrix[i*8+j+4] = matrix[a*8+b+4]
matrix[a*8+b+4] = tmp
def transpose(matrix):
""" register renaming for transpose
"""
regs = alloc_regs(matrix, 16)
save_regs = regs[:]
# emit code ...
for i in range(1,8,2):
for j in range(0,4):
r1 = matrix[(i-1)*4+j]
r2 = matrix[i*4+j]
print '\tfmix.r f%d = f%d, f%d' % (save_regs.pop(0), r1, r2)
print '\t;;'
for i in range(0,8,2):
for j in range(0,4):
r1 = matrix[i*4+j]
r2 = matrix[(i+1)*4+j]
print '\tfmix.l f%d = f%d, f%d' % (r1, r1, r2)
print '\t;;'
# first stage, transpose the 2x2 matrices
for i in range(1,8,2):
for j in range(0,4):
r = matrix[i*4+j]
matrix[i*4+j] = regs.pop(0)
# print_matrix(matrix)
# exchange the 2x2 matrices by renaming the registers
for i in range(0, 4):
for j in range(i+1, 4):
transpose_2x2_submatrix(matrix, i, j)
# print ''
# print_matrix(matrix)
# print "transpose"
# print_matrix(matrix)
# register renaming for 8 regs containing a column
def shuffle_column(matrix, col, permutation):
l = [ ]
for i in range(0,8):
l.append(matrix[i*4+col])
for i in range(0,8):
matrix[i*4+col] = l[permutation[i]]
def butterfly(matrix, col, i, j, c1, c2):
""" register renaming for a butterfly operation in a column
"""
ri = matrix[i*4+col]
rj = matrix[j*4+col]
regs = alloc_regs(matrix, 1)
print '\t// (f%d, f%d) = (f%d, f%d) $ (%s, %s), (line %d, %d)' % \
(regs[0], rj, ri, rj, c1, c2, i, j)
print '\tfpma f%d = f%d, %s, f%d' % (regs[0], rj, c1, ri)
print '\tfpnma f%d = f%d, %s, f%d' % (rj, rj, c2, ri)
print '\t;;'
matrix[i*4+col] = regs[0]
def column_idct(matrix, col):
print_matrix(matrix, "before pre shuffle")
shuffle_column(matrix, col, pre_shuffle)
print_matrix(matrix, "after pre shuffle")
butterfly(matrix, col, 0, 1, 'c0', 'c0')
butterfly(matrix, col, 2, 3, 'c1', 'c2')
butterfly(matrix, col, 4, 5, 'c3', 'c4')
butterfly(matrix, col, 6, 7, 'c5', 'c6')
print '\t;;'
butterfly(matrix, col, 0, 3, 'c7', 'c7')
butterfly(matrix, col, 1, 2, 'c8', 'c8')
butterfly(matrix, col, 4, 6, 'c9', 'c9')
butterfly(matrix, col, 5, 7, 'c10', 'c10')
print '\t;;'
butterfly(matrix, col, 5, 6, 'c11', 'c11')
butterfly(matrix, col, 0, 4, 'c12', 'c12')
butterfly(matrix, col, 3, 7, 'c14', 'c14')
print '\t;;'
butterfly(matrix, col, 1, 5, 'c13', 'c13')
butterfly(matrix, col, 2, 6, 'c13', 'c13')
print_matrix(matrix, "before post shuffle")
shuffle_column(matrix, col, post_shuffle)
print_matrix(matrix, "after post shuffle")
def gen_idct(matrix):
for j in range(0, 2):
for i in range(0, 4):
print '\tfpma f%d = f%d, c0, f0' \
% (2 * (matrix[i],))
print '\t;;'
for i in range(0,4):
column_idct(matrix, i)
print '\t;;'
transpose(matrix)
def gen_consts():
print 'addreg1 = r14'
print 'addreg2 = r15'
for i in range(0, constants):
print 'c%d = f%d' % (i, float_scratch.pop(0))
sqrt2 = math.sqrt(2.0)
t = [ ]
s = [ ]
c = [ ]
for i in range(0,5):
t.append(math.tan(i * math.pi / 16))
s.append(math.sin(i * math.pi / 16))
c.append(math.cos(i * math.pi / 16))
consts = [ ]
consts.append(1.0 / (2.0 * sqrt2))
consts.append(-1 / t[2])
consts.append(-t[2])
consts.append(t[1])
consts.append(1 / t[1])
consts.append(t[3])
consts.append(1 / t[3])
consts.append(0.5 * c[2])
consts.append(0.5 * s[2])
consts.append(c[3] / c[1])
consts.append(s[3] / s[1])
consts.append(c[1] / s[1])
consts.append(0.5 * c[1])
consts.append(0.5 * s[1] * c[4])
consts.append(0.5 * s[1])
consts.append(1.0)
print '.sdata'
for i in range(0, constants):
if i % 2 == 0:
print '.align 16'
print '.data_c%d:' % i
print '.single %.30f, %.30f' % (consts[i], consts[i])
print ''
def gen_load(matrix):
for i in range(0, 64, 2):
print '\tld2 r%d = [addreg1], 4' % (intregbase+i)
print '\tld2 r%d = [addreg2], 4' % (intregbase+i+1)
print '\t;;'
for i in range(0, 64, 2):
print '\tsxt2 r%d = r%d' % (2*(intregbase+i,))
print '\tsxt2 r%d = r%d' % (2*(intregbase+i+1,))
print '\t;;'
for i in range(0, 64, 2):
print '\tsetf.sig f%d = r%d' % (regbase+i, intregbase+i)
print '\tsetf.sig f%d = r%d' % (regbase+i+1, intregbase+i+1)
print '\t;;'
for i in range(0, 64, 2):
print '\tfcvt.xf f%d = f%d' % (2*(regbase+i,))
print '\tfcvt.xf f%d = f%d' % (2*(regbase+i+1,))
print '\t;;'
for i in range(0, 32):
print '\tfpack f%d = f%d, f%d' \
% (regbase+i, regbase+2*i, regbase+2*i+1)
print '\t;;'
"""
for i in range(0, len(matrix)):
print '\tld2 r18 = [addreg1], 4'
print '\tld2 r19 = [addreg2], 4'
print '\t;;'
print '\tsxt2 r18 = r18'
print '\tsxt2 r19 = r19'
print '\t;;'
print '\tsetf.sig f18 = r18'
print '\tsetf.sig f19 = r19'
print '\t;;'
print '\tfcvt.xf f18 = f18'
print '\tfcvt.xf f19 = f19'
print '\t;;'
print '\tfpack f%d = f18, f19' % (matrix[i])
print '\t;;'
"""
def gen_store(matrix):
print '\tmov addreg1 = in0'
print '\tadd addreg2 = 4, in0'
print '\t;;'
for i in range(0, len(matrix)):
print '\tfpcvt.fx f%d = f%d' % (2*(matrix[i],))
print '\t;;'
for i in range(0, len(matrix)):
print '\tgetf.sig r%d = f%d' % (intregbase+i, matrix[i])
print '\t;;'
for i in range(0, len(matrix)):
print '\tshl r%d = r%d, 7' % (2*(intregbase+i,))
print '\t;;'
for i in range(0, len(matrix)):
print '\tpack4.sss r%d = r%d, r0' % (2*(intregbase+i,))
print '\t;;'
for i in range(0, len(matrix)):
print '\tpshr2 r%d = r%d, 7' % (2*(intregbase+i,))
print '\t;;'
for i in range(0, len(matrix)):
print '\tmux2 r%d = r%d, 0xe1' % (2*(intregbase+i,))
print '\t;;'
for i in range(0, len(matrix), 2):
print '\tst4 [addreg1] = r%d, 8' % (intregbase+i)
print '\tst4 [addreg2] = r%d, 8' % (intregbase+i+1)
def main():
gen_consts()
print '.text'
print '.global idct_ia64'
print '.align 16'
print '.proc idct_ia64'
print 'idct_ia64:'
f = open('idct_init.s')
print f.read()
f.close()
matrix = [ ]
for i in range(0,32):
matrix.append(regbase + i)
gen_load(matrix)
# print_matrix(matrix)
gen_idct(matrix)
# transpose(matrix)
print_matrix(matrix)
gen_store(matrix)
f = open('idct_fini.s')
print f.read()
f.close()
print '.endp'
if __name__ == "__main__":
main()
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