src/ieee754/fpdiv/specialcases.py

   1 # IEEE Floating Point Multiplier
   2
   3 from nmigen import Module, Signal, Cat, Const, Elaboratable
   4 from nmigen.cli import main, verilog
   5 from math import log
   6
   7 from ieee754.fpcommon.fpbase import FPNumDecode, FPNumBaseRecord
   8 from nmutil.singlepipe import SimpleHandshake, StageChain
   9
  10 from ieee754.fpcommon.fpbase import FPState, FPID
  11 from ieee754.fpcommon.getop import FPADDBaseData
  12 from ieee754.fpcommon.denorm import (FPSCData, FPAddDeNormMod)
  13
  14
  15 class FPDIVSpecialCasesMod(Elaboratable):
  16     """ special cases: NaNs, infs, zeros, denormalised
  17         see "Special Operations"
  18         https://steve.hollasch.net/cgindex/coding/ieeefloat.html
  19     """
  20
  21     def __init__(self, width, pspec):
  22         self.width = width
  23         self.pspec = pspec
  24         self.i = self.ispec()
  25         self.o = self.ospec()
  26
  27     def ispec(self):
  28         return FPADDBaseData(self.width, self.pspec)
  29
  30     def ospec(self):
  31         return FPSCData(self.width, self.pspec, False)
  32
  33     def setup(self, m, i):
  34         """ links module to inputs and outputs
  35         """
  36         m.submodules.specialcases = self
  37         m.d.comb += self.i.eq(i)
  38
  39     def process(self, i):
  40         return self.o
  41
  42     def elaborate(self, platform):
  43         m = Module()
  44
  45         #m.submodules.sc_out_z = self.o.z
  46
  47         # decode: XXX really should move to separate stage
  48         a1 = FPNumBaseRecord(self.width, False)
  49         b1 = FPNumBaseRecord(self.width, False)
  50         m.submodules.sc_decode_a = a1 = FPNumDecode(None, a1)
  51         m.submodules.sc_decode_b = b1 = FPNumDecode(None, b1)
  52         m.d.comb += [a1.v.eq(self.i.a),
  53                      b1.v.eq(self.i.b),
  54                      self.o.a.eq(a1),
  55                      self.o.b.eq(b1)
  56                     ]
  57
  58         sabx = Signal(reset_less=True)   # sign a xor b (sabx, get it?)
  59         m.d.comb += sabx.eq(a1.s ^ b1.s)
  60
  61         abnan = Signal(reset_less=True)
  62         m.d.comb += abnan.eq(a1.is_nan | b1.is_nan)
  63
  64         abinf = Signal(reset_less=True)
  65         m.d.comb += abinf.eq(a1.is_inf & b1.is_inf)
  66
  67         # if a is NaN or b is NaN return NaN
  68         with m.If(abnan):
  69             m.d.comb += self.o.out_do_z.eq(1)
  70             m.d.comb += self.o.z.nan(1)
  71
  72         # if a is inf and b is Inf return NaN
  73         with m.Elif(abnan):
  74             m.d.comb += self.o.out_do_z.eq(1)
  75             m.d.comb += self.o.z.nan(1)
  76
  77         # if a is inf return inf
  78         with m.Elif(a1.is_inf):
  79             m.d.comb += self.o.out_do_z.eq(1)
  80             m.d.comb += self.o.z.inf(sabx)
  81
  82         # if b is inf return zero
  83         with m.Elif(b1.is_inf):
  84             m.d.comb += self.o.out_do_z.eq(1)
  85             m.d.comb += self.o.z.zero(sabx)
  86
  87         # if a is zero return zero (or NaN if b is zero)
  88         with m.Elif(a1.is_zero):
  89             m.d.comb += self.o.out_do_z.eq(1)
  90             m.d.comb += self.o.z.zero(sabx)
  91             # b is zero return NaN
  92             with m.If(b1.is_zero):
  93                 m.d.comb += self.o.z.nan(1)
  94
  95         # if b is zero return Inf
  96         with m.Elif(b1.is_zero):
  97             m.d.comb += self.o.out_do_z.eq(1)
  98             m.d.comb += self.o.z.inf(sabx)
  99
 100         # Denormalised Number checks next, so pass a/b data through
 101         with m.Else():
 102             m.d.comb += self.o.out_do_z.eq(0)
 103
 104         m.d.comb += self.o.oz.eq(self.o.z.v)
 105         m.d.comb += self.o.mid.eq(self.i.mid)
 106
 107         return m
 108
 109
 110 class FPDIVSpecialCases(FPState):
 111     """ special cases: NaNs, infs, zeros, denormalised
 112         NOTE: some of these are unique to div.  see "Special Operations"
 113         https://steve.hollasch.net/cgindex/coding/ieeefloat.html
 114     """
 115
 116     def __init__(self, width, pspec):
 117         FPState.__init__(self, "special_cases")
 118         self.mod = FPDIVSpecialCasesMod(width)
 119         self.out_z = self.mod.ospec()
 120         self.out_do_z = Signal(reset_less=True)
 121
 122     def setup(self, m, i):
 123         """ links module to inputs and outputs
 124         """
 125         self.mod.setup(m, i, self.out_do_z)
 126         m.d.sync += self.out_z.v.eq(self.mod.out_z.v) # only take the output
 127         m.d.sync += self.out_z.mid.eq(self.mod.o.mid)  # (and mid)
 128
 129     def action(self, m):
 130         self.idsync(m)
 131         with m.If(self.out_do_z):
 132             m.next = "put_z"
 133         with m.Else():
 134             m.next = "denormalise"
 135
 136
 137 class FPDIVSpecialCasesDeNorm(FPState, SimpleHandshake):
 138     """ special cases: NaNs, infs, zeros, denormalised
 139     """
 140
 141     def __init__(self, width, pspec):
 142         FPState.__init__(self, "special_cases")
 143         self.width = width
 144         self.pspec = pspec
 145         SimpleHandshake.__init__(self, self) # pipe is its own stage
 146         self.out = self.ospec()
 147
 148     def ispec(self):
 149         return FPADDBaseData(self.width, self.pspec) # SpecialCases ispec
 150
 151     def ospec(self):
 152         return FPSCData(self.width, self.pspec, False) # DeNorm ospec
 153
 154     def setup(self, m, i):
 155         """ links module to inputs and outputs
 156         """
 157         smod = FPDIVSpecialCasesMod(self.width, self.pspec)
 158         dmod = FPAddDeNormMod(self.width, self.pspec, False)
 159
 160         chain = StageChain([smod, dmod])
 161         chain.setup(m, i)
 162
 163         # only needed for break-out (early-out)
 164         # self.out_do_z = smod.o.out_do_z
 165
 166         self.o = dmod.o
 167
 168     def process(self, i):
 169         return self.o
 170
 171     def action(self, m):
 172         # for break-out (early-out)
 173         #with m.If(self.out_do_z):
 174         #    m.next = "put_z"
 175         #with m.Else():
 176             m.d.sync += self.out.eq(self.process(None))
 177             m.next = "align"
 178
 179