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val extern forall Nat 'n. bit['n] -> bit[64] effect pure EXTS
(* XXX binary coded decimal *)
function forall Type 'a . 'a DEC_TO_BCD ( x ) = x
function forall Type 'a . 'a BCD_TO_DEC ( x ) = x
(* XXX carry out *)
function bit carry_out ( x ) = bitzero
(* XXX length *)
function nat length ( x ) = 64
(* XXX *)
val extern forall Nat 'k, Nat 'r,
0 <= 'k, 'k <= 64, 'r + 'k = 64.
(bit[64], [|'k|]) -> [|0:'r|] effect pure countLeadingZeroes
function forall Nat 'n, Nat 'm .
bit['m] EXTS_EXPLICIT((bit['n]) v, ([|'m|]) m) =
(v[0] ^^ (m - length(v))) : v
val forall Nat 'n, Nat 'm, 0 <= 'n, 'n <= 'm, 'm <= 63 .
([|'n|],[|'m|]) -> bit[64]
effect pure
MASK
function (bit[64]) MASK(start, stop) = {
(bit[64]) mask := 0;
if(start > stop) then {
mask[start .. 63] := bitone ^^ (64 - start);
mask[0 .. stop] := bitone ^^ (stop + 1);
} else {
mask[start .. stop ] := bitone ^^ (stop - start + 1);
};
mask;
}
val forall Nat 'n, 0 <= 'n, 'n <= 63 .
(bit[64], [|'n|]) -> bit[64] effect pure ROTL
function (bit[64]) ROTL(v, n) = v[n .. 63] : v[0 .. (n-1)]
(* Branch facility registers *)
typedef cr = register bits [ 32 : 63 ] {
32 .. 35 : CR0; (* LT, GT, EQ, SO -- fixed-point *)
36 .. 39 : CR1; (* FX, FEX, VX, OX -- (decimal) floating-point *)
40 .. 43 : CR2;
44 .. 47 : CR3;
48 .. 51 : CR4;
52 .. 55 : CR5;
56 .. 59 : CR6; (* LT, GT, EQ, SO -- vector *)
60 .. 63 : CR7;
}
register (cr) CR
register (bit[64]) CTR
register (bit[64]) LR
typedef xer = register bits [ 0 : 63 ] {
32 : SO;
33 : OV;
34 : CA;
}
register (xer) XER
(* Fixed-point registers *)
register (bit[64]) GPR0
register (bit[64]) GPR1
register (bit[64]) GPR2
register (bit[64]) GPR3
register (bit[64]) GPR4
register (bit[64]) GPR5
register (bit[64]) GPR6
register (bit[64]) GPR7
register (bit[64]) GPR8
register (bit[64]) GPR9
register (bit[64]) GPR10
register (bit[64]) GPR11
register (bit[64]) GPR12
register (bit[64]) GPR13
register (bit[64]) GPR14
register (bit[64]) GPR15
register (bit[64]) GPR16
register (bit[64]) GPR17
register (bit[64]) GPR18
register (bit[64]) GPR19
register (bit[64]) GPR20
register (bit[64]) GPR21
register (bit[64]) GPR22
register (bit[64]) GPR23
register (bit[64]) GPR24
register (bit[64]) GPR25
register (bit[64]) GPR26
register (bit[64]) GPR27
register (bit[64]) GPR28
register (bit[64]) GPR29
register (bit[64]) GPR30
register (bit[64]) GPR31
let (vector <0, 32, inc, (register<(bit[64])>) >) GPR =
[ GPR0, GPR1, GPR2, GPR3, GPR4, GPR5, GPR6, GPR7, GPR8, GPR9, GPR10,
GPR11, GPR12, GPR13, GPR14, GPR15, GPR16, GPR17, GPR18, GPR19, GPR20,
GPR21, GPR22, GPR23, GPR24, GPR25, GPR26, GPR27, GPR28, GPR29, GPR30, GPR31
]
register (bit[32:63]) VRSAVE
register (bit[64]) SPRG4
register (bit[64]) SPRG5
register (bit[64]) SPRG6
register (bit[64]) SPRG7
(* XXX bogus, length should be 1024 with many more values - cf. mfspr
definition - eg. SPRG4 to SPRG7 are at offsets 260 to 263, VRSAVE is 256,
etc. *)
let (vector <0, 10, inc, (register<(bit[64])>) >) SPR =
[ undefined, XER, undefined, undefined,
undefined, undefined, undefined, undefined,
LR, CTR
]
(* XXX bogus, DCR might be numbered with 64-bit values! -
and it's implementation-dependent; also, some DCR are only 32 bits
instead of 64, and mtdcrux/mfdcrux do special tricks in that case, not
shown in pseudo-code (?) *)
register (vector <0, 64, inc, bit>) DCR0
register (vector <0, 64, inc, bit>) DCR1
let (vector <0, 2, inc, (register<(vector<0, 64, inc, bit>)>) >) DCR =
[ DCR0, DCR1 ]
(* Floating-point registers *)
register (bit[64]) FPR0
register (bit[64]) FPR1
register (bit[64]) FPR2
register (bit[64]) FPR3
register (bit[64]) FPR4
register (bit[64]) FPR5
register (bit[64]) FPR6
register (bit[64]) FPR7
register (bit[64]) FPR8
register (bit[64]) FPR9
register (bit[64]) FPR10
register (bit[64]) FPR11
register (bit[64]) FPR12
register (bit[64]) FPR13
register (bit[64]) FPR14
register (bit[64]) FPR15
register (bit[64]) FPR16
register (bit[64]) FPR17
register (bit[64]) FPR18
register (bit[64]) FPR19
register (bit[64]) FPR20
register (bit[64]) FPR21
register (bit[64]) FPR22
register (bit[64]) FPR23
register (bit[64]) FPR24
register (bit[64]) FPR25
register (bit[64]) FPR26
register (bit[64]) FPR27
register (bit[64]) FPR28
register (bit[64]) FPR29
register (bit[64]) FPR30
register (bit[64]) FPR31
let (vector <0, 32, inc, (register<(bit[64])>) >) FPR =
[ FPR0, FPR1, FPR2, FPR3, FPR4, FPR5, FPR6, FPR7, FPR8, FPR9, FPR10,
FPR11, FPR12, FPR13, FPR14, FPR15, FPR16, FPR17, FPR18, FPR19, FPR20,
FPR21, FPR22, FPR23, FPR24, FPR25, FPR26, FPR27, FPR28, FPR29, FPR30, FPR31
]
typedef fpscr = register bits [ 0 : 63 ] {
32 : FX;
33 : FEX;
34 : VX;
35 : OX;
36 : UX;
37 : ZX;
38 : XX;
39 : VXSNAN;
40 : VXISI;
41 : VXIDI;
42 : VXZDZ;
43 : VXIMZ;
44 : VXVC;
45 : FR;
46 : FI;
47 .. 51 : FPRF;
47 : C;
48 .. 51 : FPCC; (* the bits of FPCC are named FL, FG, FE and FU,
but those names are never used in pseudo-code. *)
53 : VXSOFT;
54 : VXSQRT;
55 : VXCVI;
56 : VE;
57 : OE;
58 : UE;
59 : ZE;
60 : XE;
61 : NI;
62 .. 63 : RN;
}
register (fpscr) FPSCR
(* XXX *)
val extern bit[32] -> bit[64] effect pure DOUBLE
val extern bit[64] -> bit[32] effect pure SINGLE
(* Vector registers *)
register (bit[128]) VR0
register (bit[128]) VR1
register (bit[128]) VR2
register (bit[128]) VR3
register (bit[128]) VR4
register (bit[128]) VR5
register (bit[128]) VR6
register (bit[128]) VR7
register (bit[128]) VR8
register (bit[128]) VR9
register (bit[128]) VR10
register (bit[128]) VR11
register (bit[128]) VR12
register (bit[128]) VR13
register (bit[128]) VR14
register (bit[128]) VR15
register (bit[128]) VR16
register (bit[128]) VR17
register (bit[128]) VR18
register (bit[128]) VR19
register (bit[128]) VR20
register (bit[128]) VR21
register (bit[128]) VR22
register (bit[128]) VR23
register (bit[128]) VR24
register (bit[128]) VR25
register (bit[128]) VR26
register (bit[128]) VR27
register (bit[128]) VR28
register (bit[128]) VR29
register (bit[128]) VR30
register (bit[128]) VR31
let (vector <0, 32, inc, (register<(bit[128])>) >) VR =
[ VR0, VR1, VR2, VR3, VR4, VR5, VR6, VR7, VR8, VR9, VR10,
VR11, VR12, VR13, VR14, VR15, VR16, VR17, VR18, VR19, VR20,
VR21, VR22, VR23, VR24, VR25, VR26, VR27, VR28, VR29, VR30, VR31
]
typedef vscr = register bits [ 96 : 127 ] {
111 : NJ;
127 : SAT;
}
register (vscr) VSCR
(* XXX extend with zeroes -- the resulting size in completely unknown and depends of context *)
val extern forall Nat 'n, Nat 'm. bit['n] -> bit['m] effect pure EXTZ
(* Chop has a very weird definition where the resulting size depends of
context, but in practice it is used with the following definition everywhere,
except in vaddcuw which probably needs to be patched accordingly. *)
val forall Nat 'n, Nat 'm, 'm <= 'n. (bit['n], [|'m|]) -> bit['m] effect pure Chop
function forall Nat 'm. (bit['m]) Chop(x, y) = x[0..y]
val forall Nat 'n, Nat 'm, 'n <= 0, 0 <= 'm.
(nat, [|'n|], [|'m|]) -> [|'n:'m|] effect { wreg } Clamp
function forall Nat 'n, Nat 'm, 'n <= 0, 0 <= 'm. ([|'n:'m|])
Clamp((nat) x, ([|'n|]) y, ([|'m|]) z) = {
([|'n:'m|]) result := 0;
if (x<y) then {
result := y;
VSCR.SAT := bitone;
} else if (x > z) then {
result := z;
VSCR.SAT := bitone;
} else {
result := x;
};
result;
}
(* XXX *)
val extern bit[32] -> bit[32] effect pure RoundToSPIntCeil
val extern bit[32] -> bit[32] effect pure RoundToSPIntFloor
val extern bit[32] -> bit[32] effect pure RoundToSPIntNear
val extern bit[32] -> bit[32] effect pure RoundToSPIntTrunc
val extern bit[32] -> bit[32] effect pure RoundToNearSP
val extern bit[32] -> bit[32] effect pure ReciprocalEstimateSP
val extern bit[32] -> bit[32] effect pure ReciprocalSquareRootEstimateSP
val extern bit[32] -> bit[32] effect pure LogBase2EstimateSP
val extern bit[32] -> bit[32] effect pure Power2EstimateSP
val extern (bit[32], bit[5]) -> bit[32] effect pure ConvertSPtoSXWsaturate
val extern (bit[32], bit[5]) -> bit[32] effect pure ConvertSPtoUXWsaturate
register (bit[64]) NIA (* next instruction address *)
register (bit[64]) CIA (* current instruction address *)
val extern forall Nat 'n. ( nat , [|'n|] ) -> (bit[8 * 'n]) effect { wmem , rmem } MEM
(* XXX effect for trap? *)
val extern unit -> unit effect pure trap
register (bool) mode64bit
scattered function unit execute
scattered typedef ast = const union
val bit[32] -> ast effect pure decode
scattered function ast decode
union ast member (bit[5], bit[5], bit[2], bit) Bclr
function clause decode ([bitzero, bitone, bitzero, bitzero, bitone, bitone] :
(bit[5]) BO :
(bit[5]) BI :
(bit[3]) _ :
(bit[2]) BH :
[bitzero, bitzero, bitzero, bitzero, bitzero, bitone, bitzero, bitzero, bitzero, bitzero] :
[LK] as instr) =
Bclr (BO,BI,BH,LK)
function clause execute (Bclr (BO, BI, BH, LK)) =
{
if mode64bit then M := 0 else M := 32;
if ~ (BO[2]) then CTR := CTR - 1;
ctr_ok := (BO[2] | (CTR[M .. 63] != 0) ^ BO[3]);
cond_ok := (BO[0] | CR[BI + 32] ^ ~ (BO[1]));
if ctr_ok & cond_ok then NIA := LR[0 .. 61] : 0b00;
if LK then LR := CIA + 4
}
union ast member (bit[5], bit[5], bit[16]) Lwz
function clause decode ([bitone, bitzero, bitzero, bitzero, bitzero, bitzero] :
(bit[5]) RT :
(bit[5]) RA :
(bit[16]) D as instr) =
Lwz (RT,RA,D)
function clause execute (Lwz (RT, RA, D)) =
{
(bit[64]) b := 0;
if RA == 0 then b := 0 else b := GPR[RA];
EA := b + EXTS (D);
GPR[RT] := 0b00000000000000000000000000000000 : MEM (EA,4)
}
union ast member (bit[5], bit[5], bit[16]) Stw
function clause decode ([bitone, bitzero, bitzero, bitone, bitzero, bitzero] :
(bit[5]) RS :
(bit[5]) RA :
(bit[16]) D as instr) =
Stw (RS,RA,D)
function clause execute (Stw (RS, RA, D)) =
{
(bit[64]) b := 0;
if RA == 0 then b := 0 else b := GPR[RA];
EA := b + EXTS (D);
MEM(EA,4) := (GPR[RS])[32 .. 63]
}
union ast member (bit[5], bit[5], bit[16]) Stwu
function clause decode ([bitone, bitzero, bitzero, bitone, bitzero, bitone] :
(bit[5]) RS :
(bit[5]) RA :
(bit[16]) D as instr) =
Stwu (RS,RA,D)
function clause execute (Stwu (RS, RA, D)) =
{
EA := GPR[RA] + EXTS (D);
MEM(EA,4) := (GPR[RS])[32 .. 63];
GPR[RA] := EA
}
union ast member (bit[5], bit[5], bit[16]) Addi
function clause decode ([bitzero, bitzero, bitone, bitone, bitone, bitzero] :
(bit[5]) RT :
(bit[5]) RA :
(bit[16]) SI as instr) =
Addi (RT,RA,SI)
function clause execute (Addi (RT, RA, SI)) =
if RA == 0 then GPR[RT] := EXTS (SI) else GPR[RT] := GPR[RA] + EXTS (SI)
union ast member (bit[5], bit[5], bit[5], bit) Or
function clause decode ([bitzero, bitone, bitone, bitone, bitone, bitone] :
(bit[5]) RS :
(bit[5]) RA :
(bit[5]) RB :
[bitzero, bitone, bitone, bitzero, bitone, bitone, bitone, bitone, bitzero, bitzero] :
[Rc] as instr) =
Or (RS,RA,RB,Rc)
function clause execute (Or (RS, RA, RB, Rc)) = GPR[RA] := (GPR[RS] | GPR[RB])
end decode
end execute
end ast
register ast instr (* monitor decoded instructions *)
(* fetch-decode-execute *)
function unit fde () = {
NIA := CIA + 4;
instr := decode(MEM(CIA, 4));
execute(instr);
CIA := NIA;
}
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