Author: Richard Plangger <[email protected]>
Branch: zarch-simd-support
Changeset: r87107:4c3e946b5c05
Date: 2016-09-14 16:19 +0200
http://bitbucket.org/pypy/pypy/changeset/4c3e946b5c05/
Log: more vector ops, int->float, comparison float
diff --git a/rpython/jit/backend/zarch/assembler.py
b/rpython/jit/backend/zarch/assembler.py
--- a/rpython/jit/backend/zarch/assembler.py
+++ b/rpython/jit/backend/zarch/assembler.py
@@ -919,6 +919,10 @@
return frame_depth
def regalloc_mov(self, prev_loc, loc):
+ if prev_loc.is_vector_reg():
+ assert loc.is_vector_reg()
+ self.mc.VLR(loc, prev_loc)
+ return
if prev_loc.is_imm():
value = prev_loc.getint()
# move immediate value to register
diff --git a/rpython/jit/backend/zarch/conditions.py
b/rpython/jit/backend/zarch/conditions.py
--- a/rpython/jit/backend/zarch/conditions.py
+++ b/rpython/jit/backend/zarch/conditions.py
@@ -18,7 +18,7 @@
# normal branch instructions
FLOAT = ConditionLocation(0x10)
-EQ = ConditionLocation(0x8)
+VEQI = EQ = ConditionLocation(0x8)
LT = ConditionLocation(0x4)
GT = ConditionLocation(0x2)
OF = ConditionLocation(0x1) # overflow
@@ -27,7 +27,7 @@
FLE = ConditionLocation(EQ.value | LT.value)
GE = ConditionLocation(EQ.value | GT.value | OF.value)
FGE = ConditionLocation(EQ.value | GT.value)
-NE = ConditionLocation(LT.value | GT.value | OF.value)
+VNEI = NE = ConditionLocation(LT.value | GT.value | OF.value)
NO = ConditionLocation(0xe) # NO overflow
FGT = ConditionLocation(GT.value | OF.value)
diff --git a/rpython/jit/backend/zarch/instruction_builder.py
b/rpython/jit/backend/zarch/instruction_builder.py
--- a/rpython/jit/backend/zarch/instruction_builder.py
+++ b/rpython/jit/backend/zarch/instruction_builder.py
@@ -468,27 +468,27 @@
byte = (v1 & BIT_MASK_4) << 4 | (idx & BIT_MASK_4)
self.writechar(chr(byte))
encode_base_displace(self, bid)
- self.writechar(chr((mask & BIT_MASK_4 << 4) | (rbx & BIT_MASK_4)))
+ self.writechar(chr((mask & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
self.writechar(opcode2)
return encode_vrx
-def build_vrr_a(mnemonic, (opcode1,opcode2), argtypes='v,v'):
+def build_vrr_a(mnemonic, (opcode1,opcode2), argtypes='v,v,m,m,m'):
@builder.arguments(argtypes)
- def encode_vrr_a(self, v1, v2):
+ def encode_vrr_a(self, v1, v2, mask3=0, mask4=0, mask5=0):
self.writechar(opcode1)
rbx = (v1 >= 16) << 3
rbx |= (v2 >= 16) << 2
byte = (v1 & BIT_MASK_4) << 4 | (v2 & BIT_MASK_4)
self.writechar(chr(byte))
self.writechar(chr(0))
- self.writechar(chr(0))
- self.writechar(chr(rbx & BIT_MASK_4))
+ self.writechar(chr((mask5 & BIT_MASK_4) << 4 | (mask4 & BIT_MASK_4)))
+ self.writechar(chr((mask3 & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
self.writechar(opcode2)
return encode_vrr_a
-def build_vrr_c(mnemonic, (opcode1,opcode2), argtypes='v,v,v,m,m'):
+def build_vrr_c(mnemonic, (opcode1,opcode2), argtypes='v,v,v,m,m,m'):
@builder.arguments(argtypes)
- def encode_vrr_c(self, v1, v2, v3, mask1=0, mask2=0):
+ def encode_vrr_c(self, v1, v2, v3, mask4=0, mask5=0, mask6=0):
self.writechar(opcode1)
rbx = (v1 >= 16) << 3
rbx |= (v2 >= 16) << 2
@@ -497,11 +497,40 @@
self.writechar(chr(byte))
byte = (v3 & BIT_MASK_4) << 4
self.writechar(chr(byte))
- self.writechar(chr(mask2 & BIT_MASK_4))
- self.writechar(chr((mask1 & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
+ self.writechar(chr((mask6 & BIT_MASK_4) << 4 | (mask5 & BIT_MASK_4)))
+ self.writechar(chr((mask4 & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
self.writechar(opcode2)
return encode_vrr_c
+def build_vrr_e(mnemonic, (opcode1,opcode2), argtypes='v,v,v,v,m,m'):
+ @builder.arguments(argtypes)
+ def encode_vrr_e(self, v1, v2, v3, v4, mask5=0, mask6=0):
+ self.writechar(opcode1)
+ rbx = (v1 >= 16) << 3
+ rbx |= (v2 >= 16) << 2
+ rbx |= (v3 >= 16) << 1
+ rbx |= (v4 >= 16)
+ byte = (v1 & BIT_MASK_4) << 4 | (v2 & BIT_MASK_4)
+ self.writechar(chr(byte))
+ byte = (v3 & BIT_MASK_4) << 4 | (mask6 & BIT_MASK_4) << 4
+ self.writechar(chr(byte))
+ self.writechar(chr((mask5 & BIT_MASK_4)))
+ self.writechar(chr((v4 & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
+ self.writechar(opcode2)
+ return encode_vrr_e
+
+def build_vri_a(mnemonic, (opcode1,opcode2), argtypes='v,i16,m'):
+ @builder.arguments(argtypes)
+ def encode_vri_a(self, v1, i2, mask3):
+ self.writechar(opcode1)
+ rbx = (v1 >= 16) << 3
+ byte = (v1 & BIT_MASK_4) << 4
+ self.writechar(chr(byte))
+ self.write_i16(i2 & BIT_MASK_16)
+ self.writechar(chr((mask3 & BIT_MASK_4) << 4 | (rbx & BIT_MASK_4)))
+ self.writechar(opcode2)
+ return encode_vri_a
+
def build_unpack_func(mnemonic, func):
@always_inline
@@ -555,13 +584,12 @@
return arg
unpack_arg._annspecialcase_ = 'specialize:arg(1)'
argtypes = func._arguments_[:]
- #while len(argtypes) > 0 and argtypes[-1] == '-':
- # argtypes.pop()
at = argtypes[0] if len(argtypes) >= 1 else '-'
bt = argtypes[1] if len(argtypes) >= 2 else '-'
ct = argtypes[2] if len(argtypes) >= 3 else '-'
dt = argtypes[3] if len(argtypes) >= 4 else '-'
et = argtypes[4] if len(argtypes) >= 5 else '-'
+ ft = argtypes[5] if len(argtypes) >= 6 else '-'
def function0(self):
return func(self)
def function1(self, a):
@@ -601,6 +629,14 @@
i = unpack_arg(d, dt)
j = unpack_arg(e, et)
return func(self, f, g, h, i, j)
+ def function6(self, a, b, c, d, e, f):
+ g = unpack_arg(a, at)
+ h = unpack_arg(b, bt)
+ i = unpack_arg(c, ct)
+ j = unpack_arg(d, dt)
+ k = unpack_arg(e, et)
+ l = unpack_arg(f, ft)
+ return func(self, g, h, i, j, k, l)
if len(argtypes) == 0:
function = function0
elif len(argtypes) == 1:
@@ -622,6 +658,8 @@
function = function4_last_default
elif len(argtypes) == 5:
function = function5
+ elif len(argtypes) == 6:
+ function = function6
else:
assert 0, "implement function for argtypes %s" % (argtypes,)
function.__name__ = mnemonic
diff --git a/rpython/jit/backend/zarch/instructions.py
b/rpython/jit/backend/zarch/instructions.py
--- a/rpython/jit/backend/zarch/instructions.py
+++ b/rpython/jit/backend/zarch/instructions.py
@@ -295,7 +295,7 @@
vector_mnemonic_codes = {
'VL': ('vrx', ['\xE7','\x06'], 'v,bid'),
- 'VLR': ('vrr_a', ['\xE7','\x56']),
+ 'VLR': ('vrr_a', ['\xE7','\x56'], 'v,v'),
'VST': ('vrx', ['\xE7','\x0E'], 'v,bid'),
@@ -316,6 +316,16 @@
'VFM': ('vrr_c', ['\xE7','\xE7']),
'VFD': ('vrr_c', ['\xE7','\xE5']),
+ # conversion
+ 'VCDG': ('vrr_a', ['\xE7','\xC3']),
+
+ # compare, sign, ...
+ 'VFPSO': ('vrr_a', ['\xE7','\xCC']),
+ 'VFCE': ('vrr_c', ['\xE7','\xE8']),
+ 'VSEL': ('vrr_e', ['\xE7','\x8D'], 'v,v,v,v'),
+ 'VPERM': ('vrr_e', ['\xE7','\x8C'], 'v,v,v,v'),
+ 'VREPI': ('vri_a', ['\xE7','\x45']),
+
# '': ('', ['','']),
}
diff --git a/rpython/jit/backend/zarch/locations.py
b/rpython/jit/backend/zarch/locations.py
--- a/rpython/jit/backend/zarch/locations.py
+++ b/rpython/jit/backend/zarch/locations.py
@@ -25,6 +25,9 @@
def is_fp_reg(self):
return False
+ def is_vector_reg(self):
+ return False
+
def is_imm_float(self):
return False
@@ -118,13 +121,10 @@
def is_core_reg(self):
return False
- def is_fp_reg(self):
- return True
-
def as_key(self): # 16 <= as_key <= 32
return self.value + 32
- def is_float(self):
+ def is_vector_reg(self):
return True
class ImmLocation(AssemblerLocation):
diff --git a/rpython/jit/backend/zarch/regalloc.py
b/rpython/jit/backend/zarch/regalloc.py
--- a/rpython/jit/backend/zarch/regalloc.py
+++ b/rpython/jit/backend/zarch/regalloc.py
@@ -54,6 +54,12 @@
def __repr__(self):
return "<TempFloat at %s>" % (id(self),)
+class TempVector(TempVar):
+ type = 'V'
+
+ def __repr__(self):
+ return "<TempVector at %s>" % (id(self),)
+
class FPRegisterManager(RegisterManager):
all_regs = r.MANAGED_FP_REGS
@@ -142,8 +148,7 @@
return loc
def get_scratch_reg(self, selected_reg=None):
- # TODO
- box = TempFloat()
+ box = TempVector()
reg = self.force_allocate_reg(box, forbidden_vars=self.temp_boxes,
selected_reg=selected_reg)
self.temp_boxes.append(box)
return reg
diff --git a/rpython/jit/backend/zarch/vector_ext.py
b/rpython/jit/backend/zarch/vector_ext.py
--- a/rpython/jit/backend/zarch/vector_ext.py
+++ b/rpython/jit/backend/zarch/vector_ext.py
@@ -15,6 +15,7 @@
import rpython.jit.backend.zarch.registers as r
import rpython.jit.backend.zarch.conditions as c
import rpython.jit.backend.zarch.locations as l
+import rpython.jit.backend.zarch.masks as m
from rpython.jit.backend.zarch.locations import imm
from rpython.jit.backend.llsupport.asmmemmgr import MachineDataBlockWrapper
from rpython.rtyper.lltypesystem import lltype, rffi
@@ -27,42 +28,22 @@
llop.debug_print(lltype.Void, msg)
raise NotImplementedError(msg)
-def flush_vec_cc(asm, regalloc, condition, size, result_loc):
+def flush_vec_cc(asm, regalloc, condition, size, resultloc):
# After emitting an instruction that leaves a boolean result in
- # a condition code (cc), call this. In the common case, result_loc
+ # a condition code (cc), call this. In the common case, resultloc
# will be set to SPP by the regalloc, which in this case means
# "propagate it between this operation and the next guard by keeping
- # it in the cc". In the uncommon case, result_loc is another
+ # it in the cc". In the uncommon case, resultloc is another
# register, and we emit a load from the cc into this register.
- # Possibly invert the bit in the CR
- #bit, invert = c.encoding[condition]
- #assert 24 <= bit <= 27
- #if invert == 12:
- # pass
- #elif invert == 4:
- # asm.mc.crnor(bit, bit, bit)
- #else:
- # assert 0
- #assert asm.guard_success_cc == c.cond_none
- ##
- #if result_loc is r.SPP:
- # asm.guard_success_cc = condition
- #else:
- # resval = result_loc.value
- # # either doubleword integer 1 (2x) or word integer 1 (4x)
- # ones = regalloc.vrm.get_scratch_reg(type=INT).value
- # zeros = regalloc.vrm.get_scratch_reg(type=INT).value
- # asm.mc.vxor(zeros, zeros, zeros)
- # if size == 4:
- # asm.mc.vspltisw(ones, 1)
- # else:
- # assert size == 8
- # tloc = regalloc.rm.get_scratch_reg()
- # asm.mc.load_imm(tloc, asm.VEC_DOUBLE_WORD_ONES)
- # asm.mc.lvx(ones, 0, tloc.value)
- # asm.mc.vsel(resval, zeros, ones, resval)
- pass
+ if resultloc is r.SPP:
+ asm.guard_success_cc = condition
+ else:
+ ones = regalloc.vrm.get_scratch_reg()
+ zeros = regalloc.vrm.get_scratch_reg()
+ asm.mc.VX(zeros, zeros, zeros)
+ asm.mc.VREPI(ones, l.imm(1), l.itemsize_to_mask(size))
+ asm.mc.VSEL(resultloc, ones, zeros, resultloc)
class ZSIMDVectorExt(VectorExt):
def setup_once(self, asm):
@@ -119,7 +100,7 @@
resloc, loc0, loc1, itemsize_loc = arglocs
itemsize = itemsize_loc.value
if itemsize == 8:
- self.mc.VFA(resloc, loc0, loc1, 3, 0)
+ self.mc.VFA(resloc, loc0, loc1, 3, 0, 0)
return
not_implemented("vec_float_add of size %d" % itemsize)
@@ -127,7 +108,7 @@
resloc, loc0, loc1, itemsize_loc = arglocs
itemsize = itemsize_loc.value
if itemsize == 8:
- self.mc.VFS(resloc, loc0, loc1, 3, 0)
+ self.mc.VFS(resloc, loc0, loc1, 3, 0, 0)
return
not_implemented("vec_float_sub of size %d" % itemsize)
@@ -135,7 +116,7 @@
resloc, loc0, loc1, itemsize_loc = arglocs
itemsize = itemsize_loc.value
if itemsize == 8:
- self.mc.VFM(resloc, loc0, loc1, 3, 0)
+ self.mc.VFM(resloc, loc0, loc1, 3, 0, 0)
return
not_implemented("vec_float_mul of size %d" % itemsize)
@@ -143,7 +124,7 @@
resloc, loc0, loc1, itemsize_loc = arglocs
itemsize = itemsize_loc.value
if itemsize == 8:
- self.mc.VFD(resloc, loc0, loc1, 3, 0)
+ self.mc.VFD(resloc, loc0, loc1, 3, 0, 0)
return
not_implemented("vec_float_truediv of size %d" % itemsize)
@@ -168,22 +149,18 @@
def emit_vec_float_abs(self, op, arglocs, regalloc):
resloc, argloc, sizeloc = arglocs
size = sizeloc.value
- if size == 4:
- self.mc.xvabssp(resloc.value, argloc.value)
- elif size == 8:
- self.mc.xvabsdp(resloc.value, argloc.value)
- else:
- not_implemented("float abs for size %d" % size)
+ if size == 8:
+ self.mc.VFPSO(resloc, argloc, 3, 0, 2)
+ return
+ not_implemented("vec_float_abs of size %d" % itemsize)
def emit_vec_float_neg(self, op, arglocs, regalloc):
resloc, argloc, sizeloc = arglocs
size = sizeloc.value
- if size == 4:
- self.mc.xvnegsp(resloc.value, argloc.value)
- elif size == 8:
- self.mc.xvnegdp(resloc.value, argloc.value)
- else:
- not_implemented("float neg for size %d" % size)
+ if size == 8:
+ self.mc.VFPSO(resloc, argloc, 3, 0, 0)
+ return
+ not_implemented("vec_float_abs of size %d" % itemsize)
def emit_vec_guard_true(self, guard_op, arglocs, regalloc):
self._emit_guard(guard_op, arglocs)
@@ -212,42 +189,9 @@
self._accum_reduce(op, scalar_arg, vector_loc, scalar_loc)
accum_info = accum_info.next()
- def _accum_reduce(self, op, arg, accumloc, targetloc):
- # Currently the accumulator can ONLY be the biggest
- # 64 bit float/int
- tgt = targetloc.value
- acc = accumloc.value
- if arg.type == FLOAT:
- # r = (r[0]+r[1],r[0]+r[1])
- if IS_BIG_ENDIAN:
- self.mc.xxpermdi(tgt, acc, acc, 0b00)
- else:
- self.mc.xxpermdi(tgt, acc, acc, 0b10)
- if op == '+':
- self.mc.xsadddp(tgt, tgt, acc)
- elif op == '*':
- self.mc.xsmuldp(tgt, tgt, acc)
- else:
- not_implemented("sum not implemented")
- return
- else:
- assert arg.type == INT
- self.mc.load_imm(r.SCRATCH2, PARAM_SAVE_AREA_OFFSET)
- self.mc.stvx(acc, r.SCRATCH2.value, r.SP.value)
- self.mc.load(tgt, r.SP.value, PARAM_SAVE_AREA_OFFSET)
- self.mc.load(r.SCRATCH.value, r.SP.value, PARAM_SAVE_AREA_OFFSET+8)
- if op == '+':
- self.mc.add(tgt, tgt, acc)
- elif op == '*':
- self.mc.mulld(tgt, tgt, acc)
- else:
- not_implemented("sum not implemented")
- return
-
- not_implemented("reduce sum for %s not impl." % arg)
-
def emit_vec_int_is_true(self, op, arglocs, regalloc):
assert isinstance(op, VectorOp)
+ # TODO
resloc, argloc, sizeloc = arglocs
size = sizeloc.value
tmp = regalloc.vrm.get_scratch_reg(type=INT).value
@@ -266,22 +210,13 @@
def emit_vec_float_eq(self, op, arglocs, regalloc):
assert isinstance(op, VectorOp)
- resloc, loc1, loc2, sizeloc = arglocs
+ resloc, loc0, loc1, sizeloc = arglocs
size = sizeloc.value
- tmp = regalloc.vrm.get_scratch_reg().value
- offloc = regalloc.rm.get_scratch_reg()
- off = offloc.value
- # SP is always 16 byte aligned, and PARAM_SAVE_AREA_OFFSET % 16 == 0
- self.mc.load_imm(offloc, PARAM_SAVE_AREA_OFFSET)
- if size == 4:
- self.mc.xvcmpeqspx(tmp, loc1.value, loc2.value)
- self.mc.stxvw4x(tmp, off, r.SP.value)
- elif size == 8:
- self.mc.xvcmpeqdpx(tmp, loc1.value, loc2.value)
- self.mc.stxvd2x(tmp, off, r.SP.value)
+ if size == 8:
+ # bit 3 in last argument sets the condition code
+ self.mc.VFCE(resloc, loc0, loc1, 3, 0, 1)
else:
not_implemented("[zarch/assembler] float == for size %d" % size)
- self.mc.lvx(resloc.value, off, r.SP.value)
flush_vec_cc(self, regalloc, c.VEQI, op.bytesize, resloc)
def emit_vec_float_xor(self, op, arglocs, regalloc):
@@ -314,14 +249,16 @@
flush_vec_cc(self, regalloc, c.VNEI, op.bytesize, resloc)
def emit_vec_cast_int_to_float(self, op, arglocs, regalloc):
- res, l0 = arglocs
+ resloc, loc0 = arglocs
offloc = regalloc.rm.get_scratch_reg()
off = offloc.value
# SP is always 16 byte aligned, and PARAM_SAVE_AREA_OFFSET % 16 == 0
- self.mc.load_imm(offloc, PARAM_SAVE_AREA_OFFSET)
- self.mc.stvx(l0.value, off, r.SP.value)
- self.mc.lxvd2x(res.value, off, r.SP.value)
- self.mc.xvcvsxddp(res.value, res.value)
+ # bit 1 on mask4 -> supresses inexact exception
+ self.mc.VCDG(resloc, loc0, 3, 4, m.RND_TOZERO.value)
+ #self.mc.load_imm(offloc, PARAM_SAVE_AREA_OFFSET)
+ #self.mc.stvx(l0.value, off, r.SP.value)
+ #self.mc.lxvd2x(res.value, off, r.SP.value)
+ #self.mc.xvcvsxddp(res.value, res.value)
def emit_vec_int_eq(self, op, arglocs, regalloc):
assert isinstance(op, VectorOp)
@@ -354,6 +291,15 @@
self.mc.vnor(res.value, res.value, res.value)
flush_vec_cc(self, regalloc, c.VEQI, op.bytesize, res)
+ def emit_vec_cast_float_to_int(self, op, arglocs, regalloc):
+ res, l0 = arglocs
+ offloc = regalloc.rm.get_scratch_reg()
+ v0 = regalloc.vrm.get_scratch_reg(type=INT)
+ off = offloc.value
+ # SP is always 16 byte aligned, and PARAM_SAVE_AREA_OFFSET % 16 == 0
+ self.mc.load_imm(offloc, PARAM_SAVE_AREA_OFFSET)
+ self.mc.xvcvdpsxds(res.value, l0.value)
+
def emit_vec_expand_f(self, op, arglocs, regalloc):
assert isinstance(op, VectorOp)
resloc, srcloc = arglocs
@@ -540,14 +486,40 @@
return
not_implemented("unpack for combination src %d -> res %d" % (srcidx,
residx))
- def emit_vec_cast_float_to_int(self, op, arglocs, regalloc):
- res, l0 = arglocs
- offloc = regalloc.rm.get_scratch_reg()
- v0 = regalloc.vrm.get_scratch_reg(type=INT)
- off = offloc.value
- # SP is always 16 byte aligned, and PARAM_SAVE_AREA_OFFSET % 16 == 0
- self.mc.load_imm(offloc, PARAM_SAVE_AREA_OFFSET)
- self.mc.xvcvdpsxds(res.value, l0.value)
+ def _accum_reduce(self, op, arg, accumloc, targetloc):
+ # Currently the accumulator can ONLY be the biggest
+ # 64 bit float/int
+ # TODO
+ tgt = targetloc.value
+ acc = accumloc.value
+ if arg.type == FLOAT:
+ # r = (r[0]+r[1],r[0]+r[1])
+ if IS_BIG_ENDIAN:
+ self.mc.xxpermdi(tgt, acc, acc, 0b00)
+ else:
+ self.mc.xxpermdi(tgt, acc, acc, 0b10)
+ if op == '+':
+ self.mc.xsadddp(tgt, tgt, acc)
+ elif op == '*':
+ self.mc.xsmuldp(tgt, tgt, acc)
+ else:
+ not_implemented("sum not implemented")
+ return
+ else:
+ assert arg.type == INT
+ self.mc.load_imm(r.SCRATCH2, PARAM_SAVE_AREA_OFFSET)
+ self.mc.stvx(acc, r.SCRATCH2.value, r.SP.value)
+ self.mc.load(tgt, r.SP.value, PARAM_SAVE_AREA_OFFSET)
+ self.mc.load(r.SCRATCH.value, r.SP.value, PARAM_SAVE_AREA_OFFSET+8)
+ if op == '+':
+ self.mc.add(tgt, tgt, acc)
+ elif op == '*':
+ self.mc.mulld(tgt, tgt, acc)
+ else:
+ not_implemented("sum not implemented")
+ return
+
+ not_implemented("reduce sum for %s not impl." % arg)
def emit_vec_f(self, op, arglocs, regalloc):
pass
diff --git a/rpython/jit/metainterp/test/test_vector.py
b/rpython/jit/metainterp/test/test_vector.py
--- a/rpython/jit/metainterp/test/test_vector.py
+++ b/rpython/jit/metainterp/test/test_vector.py
@@ -133,9 +133,9 @@
vec_float_unary = functools.partial(vec_int_unary, _vector_float_unary)
- test_vec_abs_float = \
+ test_vec_float_abs = \
vec_float_unary(lambda v: abs(v), rffi.DOUBLE)
- test_vec_neg_float = \
+ test_vec_float_neg = \
vec_float_unary(lambda v: -v, rffi.DOUBLE)
# FLOAT BINARY
_______________________________________________
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