src/soc/fu/alu/formal/proof_main_stage.py

   1 # Proof of correctness for partitioned equal signal combiner
   2 # Copyright (C) 2020 Michael Nolan <mtnolan2640@gmail.com>
   3
   4 from nmigen import (Module, Signal, Elaboratable, Mux, Cat, Repl,
   5                     signed)
   6 from nmigen.asserts import Assert, AnyConst, Assume, Cover
   7 from nmigen.test.utils import FHDLTestCase
   8 from nmigen.cli import rtlil
   9
  10 from soc.fu.alu.main_stage import ALUMainStage
  11 from soc.fu.alu.pipe_data import ALUPipeSpec
  12 from soc.fu.alu.alu_input_record import CompALUOpSubset
  13 from soc.decoder.power_enums import InternalOp
  14 import unittest
  15
  16
  17 # This defines a module to drive the device under test and assert
  18 # properties about its outputs
  19 class Driver(Elaboratable):
  20     def __init__(self):
  21         # inputs and outputs
  22         pass
  23
  24     def elaborate(self, platform):
  25         m = Module()
  26         comb = m.d.comb
  27
  28         rec = CompALUOpSubset()
  29         recwidth = 0
  30         # Setup random inputs for dut.op
  31         for p in rec.ports():
  32             width = p.width
  33             recwidth += width
  34             comb += p.eq(AnyConst(width))
  35
  36         pspec = ALUPipeSpec(id_wid=2, op_wid=recwidth)
  37         m.submodules.dut = dut = ALUMainStage(pspec)
  38
  39         # convenience variables
  40         a = dut.i.a
  41         b = dut.i.b
  42         carry_in = dut.i.xer_ca[0]
  43         carry_in32 = dut.i.xer_ca[1]
  44         so_in = dut.i.xer_so
  45         carry_out = dut.o.xer_ca.data[0]
  46         carry_out32 = dut.o.xer_ca.data[1]
  47         ov_out = dut.o.xer_ov.data[0]
  48         ov_out32 = dut.o.xer_ov.data[1]
  49         o = dut.o.o
  50
  51         # setup random inputs
  52         comb += [a.eq(AnyConst(64)),
  53                  b.eq(AnyConst(64)),
  54                  carry_in.eq(AnyConst(0b11)),
  55                  so_in.eq(AnyConst(1))]
  56
  57         comb += dut.i.ctx.op.eq(rec)
  58
  59         # Assert that op gets copied from the input to output
  60         for rec_sig in rec.ports():
  61             name = rec_sig.name
  62             dut_sig = getattr(dut.o.ctx.op, name)
  63             comb += Assert(dut_sig == rec_sig)
  64
  65         # signed and signed/32 versions of input a
  66         a_signed = Signal(signed(64))
  67         a_signed_32 = Signal(signed(32))
  68         comb += a_signed.eq(a)
  69         comb += a_signed_32.eq(a[0:32])
  70
  71         comb += Assume(a[32:64] == 0)
  72         comb += Assume(b[32:64] == 0)
  73         # main assertion of arithmetic operations
  74         with m.Switch(rec.insn_type):
  75             with m.Case(InternalOp.OP_ADD):
  76
  77                 comb += Assert(Cat(o, carry_out) == (a + b + carry_in))
  78
  79                 # CA32 - XXX note this fails! replace with carry_in and it works
  80                 comb += Assert((a[0:32] + b[0:32] + carry_in)[32]
  81                                == carry_out32)
  82
  83                 # From microwatt execute1.vhdl line 130
  84                 comb += Assert(ov_out == ((carry_out ^ o[-1]) &
  85                                           ~(a[-1] ^ b[-1])))
  86                 comb += Assert(ov_out32 == ((carry_out32 ^ o[31]) &
  87                                             ~(a[31] ^ b[31])))
  88             with m.Case(InternalOp.OP_EXTS):
  89                 for i in [1, 2, 4]:
  90                     with m.If(rec.data_len == i):
  91                         comb += Assert(o[0:i*8] == a[0:i*8])
  92                         comb += Assert(o[i*8:64] == Repl(a[i*8-1], 64-(i*8)))
  93             with m.Case(InternalOp.OP_CMP):
  94                 # CMP is defined as not taking in carry
  95                 comb += Assume(carry_in == 0)
  96                 comb += Assert(o == (a+b)[0:64])
  97
  98             with m.Case(InternalOp.OP_CMPEQB):
  99                 src1 = a[0:8]
 100                 eqs = Signal(8)
 101                 for i in range(8):
 102                     comb += eqs[i].eq(src1 == b[i*8:(i+1)*8])
 103                 comb += Assert(dut.o.cr0[2] == eqs.any())
 104
 105         return m
 106
 107
 108 class ALUTestCase(FHDLTestCase):
 109     def test_formal(self):
 110         module = Driver()
 111         self.assertFormal(module, mode="bmc", depth=2)
 112         self.assertFormal(module, mode="cover", depth=2)
 113     def test_ilang(self):
 114         dut = Driver()
 115         vl = rtlil.convert(dut, ports=[])
 116         with open("alu_main_stage.il", "w") as f:
 117             f.write(vl)
 118
 119
 120 if __name__ == '__main__':
 121     unittest.main()