from copy import deepcopy
from openpower.decoder.helpers import fp64toselectable, SINGLE
from openpower.decoder.isafunctions.double2single import DOUBLE2SINGLE
+from openpower.decoder.isa.remap_dct_yield import (halfrev2, reverse_bits,
+ iterate_dct_inner_butterfly_indices)
+
+
+def transform_inner_radix2(vec, ctable):
+
+ # Initialization
+ n = len(vec)
+ print ()
+ print ("transform2", n)
+ levels = n.bit_length() - 1
+
+ # reference (read/write) the in-place data in *reverse-bit-order*
+ ri = list(range(n))
+ ri = [ri[reverse_bits(i, levels)] for i in range(n)]
+
+ # and pretend we LDed data in half-swapped *and* bit-reversed order as well
+ # TODO: merge these two
+ vec = halfrev2(vec, False)
+ vec = [vec[ri[i]] for i in range(n)]
+
+ ################
+ # INNER butterfly
+ ################
+ xdim = n
+ ydim = 0
+ zdim = 0
+
+ # set up an SVSHAPE
+ class SVSHAPE:
+ pass
+ # j schedule
+ SVSHAPE0 = SVSHAPE()
+ SVSHAPE0.lims = [xdim, ydim, zdim]
+ SVSHAPE0.order = [0,1,2] # experiment with different permutations, here
+ SVSHAPE0.mode = 0b01
+ SVSHAPE0.submode2 = 0b01
+ SVSHAPE0.skip = 0b00
+ SVSHAPE0.offset = 0 # experiment with different offset, here
+ SVSHAPE0.invxyz = [1,0,0] # inversion if desired
+ # j+halfstep schedule
+ SVSHAPE1 = SVSHAPE()
+ SVSHAPE1.lims = [xdim, ydim, zdim]
+ SVSHAPE1.order = [0,1,2] # experiment with different permutations, here
+ SVSHAPE1.mode = 0b01
+ SVSHAPE1.submode2 = 0b01
+ SVSHAPE1.skip = 0b01
+ SVSHAPE1.offset = 0 # experiment with different offset, here
+ SVSHAPE1.invxyz = [1,0,0] # inversion if desired
+
+ # enumerate over the iterator function, getting new indices
+ i0 = iterate_dct_inner_butterfly_indices(SVSHAPE0)
+ i1 = iterate_dct_inner_butterfly_indices(SVSHAPE1)
+ for k, ((jl, jle), (jh, jhe)) in enumerate(zip(i0, i1)):
+ t1, t2 = vec[jl], vec[jh]
+ coeff = ctable[k]
+ vec[jl] = t1 + t2
+ vec[jh] = (t1 - t2) * (1/coeff)
+ print ("coeff", "ci", k,
+ "jl", jl, "jh", jh,
+ "i/n", (k+0.5), coeff, vec[jl], vec[jh],
+ "end", bin(jle), bin(jhe))
+ if jle == 0b111: # all loops end
+ break
+
+ return vec
class DCTTestCase(FHDLTestCase):
for i in range(32):
self.assertEqual(sim.gpr(i), SelectableInt(expected[i], 64))
- def test_sv_ffadds_dct(self):
+ def tst_sv_ffadds_dct(self):
""">>> lst = ["sv.fdmadds 0.v, 0.v, 0.v, 8.v"
]
four in-place vector adds, four in-place vector mul-subs
self.assertEqual(sim.fpr(i+0), t)
self.assertEqual(sim.fpr(i+4), u)
- def tst_sv_remap_fpmadds_dct(self):
+ def test_sv_remap_fpmadds_dct(self):
""">>> lst = ["svshape 4, 1, 1, 2, 0",
"svremap 31, 1, 0, 2, 0, 1, 0",
- "sv.ffmadds 0.v, 0.v, 0.v, 8.v"
+ "sv.fdmadds 0.v, 0.v, 0.v, 8.v"
]
runs a full in-place O(N log2 N) butterfly schedule for
DCT
"""
lst = SVP64Asm( ["svshape 4, 1, 1, 2, 0",
"svremap 31, 1, 0, 2, 0, 1, 0",
- "sv.ffmadds 0.v, 0.v, 0.v, 8.v"
+ "sv.fdmadds 0.v, 0.v, 0.v, 8.v"
])
lst = list(lst)
# array and coefficients to test
+ n = 4
av = [7.0, -9.8, 3.0, -32.3]
- coe = [-0.25, 0.5, 3.1, 6.2, 0.1, -0.2] # 6 coefficients
+ coe = [-0.25, 0.5, 3.1, 6.2] # 4 coefficients
+
+ levels = n.bit_length() - 1
+ ri = list(range(n))
+ ri = [ri[reverse_bits(i, levels)] for i in range(n)]
+ avi = [7.0, -0.8, 2.0, -2.3] # first half of array 0..3
+ av = halfrev2(avi, False)
+ av = [av[ri[i]] for i in range(n)]
# store in regfile
fprs = [0] * 32
print ("spr svshape2", sim.spr['SVSHAPE2'])
print ("spr svshape3", sim.spr['SVSHAPE3'])
- return
-
# work out the results with the twin mul/add-sub
- res = transform_radix2(av, coe)
+ res = transform_inner_radix2(avi, coe)
for i, expected in enumerate(res):
print ("i", i, float(sim.fpr(i)), "expected", expected)
# approximate error calculation, good enough test
# reason: we are comparing FMAC against FMUL-plus-FADD-or-FSUB
# and the rounding is different
- err = abs(actual - expected) / expected
+ err = abs((actual - expected) / expected)
+ print ("err", i, err)
self.assertTrue(err < 1e-7)
def run_tst_program(self, prog, initial_regs=None,