cvw/pipelined/src/fpu/fcvt.sv
2022-06-14 23:58:39 +00:00

203 lines
10 KiB
Systemverilog

`include "wally-config.vh"
module fcvt (
input logic XSgnE, // input's sign
input logic [`NE-1:0] XExpE, // input's exponent
input logic [`NF:0] XManE, // input's fraction
input logic [`XLEN-1:0] ForwardedSrcAE, // integer input - from IEU
input logic [2:0] FOpCtrlE, // choose which opperation (look below for values)
input logic FWriteIntE, // is fp->int (since it's writting to the integer register)
input logic XZeroE, // is the input zero
input logic XDenormE, // is the input denormalized
input logic [`FMTBITS-1:0] FmtE, // the input's precision (11=quad 01=double 00=single 10=half)
output logic [`NE:0] CvtCalcExpE, // the calculated expoent
output logic [`LOGLGLEN-1:0] CvtShiftAmtE, // how much to shift by
output logic CvtResDenormUfE,// does the result underflow or is denormalized
output logic CvtResSgnE, // the result's sign
output logic IntZeroE, // is the integer zero?
output logic [`LGLEN-1:0] CvtLzcInE // input to the Leading Zero Counter (priority encoder)
);
// OpCtrls:
// fp->fp conversions: {0, output precision} - only one of the operations writes to the int register
// half - 10
// single - 00
// double - 01
// quad - 11
// int<->fp conversions: {is int->fp?, is the integer 64-bit?, is the integer signed?}
// bit 2 bit 1 bit 0
// for example: signed long -> single floating point has the OpCode 101
// (FF) fp -> fp coversion signals
// (IF) int -> fp coversion signals
// (FI) fp -> int coversion signals
logic [`FMTBITS-1:0] OutFmt; // format of the output
logic [`XLEN-1:0] PosInt; // the positive integer input
logic [`XLEN-1:0] TrimInt; // integer trimmed to the correct size
logic [`NE-2:0] NewBias; // the bias of the final result
logic [`NE-1:0] OldExp; // the old exponent
logic Signed; // is the opperation with a signed integer?
logic Int64; // is the integer 64 bits?
logic IntToFp; // is the opperation an int->fp conversion?
logic ToInt; // is the opperation an fp->int conversion?
logic [`LOGLGLEN-1:0] ZeroCnt; // output from the LZC
// seperate OpCtrl for code readability
assign Signed = FOpCtrlE[0];
assign Int64 = FOpCtrlE[1];
assign IntToFp = FOpCtrlE[2];
assign ToInt = FWriteIntE;
// choose the ouptut format depending on the opperation
// - fp -> fp: OpCtrl contains the percision of the output
// - int -> fp: FmtE contains the percision of the output
if (`FPSIZES == 2)
assign OutFmt = IntToFp ? FmtE : (FOpCtrlE[1:0] == `FMT);
else if (`FPSIZES == 3 | `FPSIZES == 4)
assign OutFmt = IntToFp ? FmtE : FOpCtrlE[1:0];
///////////////////////////////////////////////////////////////////////////
// negation
///////////////////////////////////////////////////////////////////////////
// 1) negate the input if the input is a negitive singed integer
// 2) trim the input to the proper size (kill the 32 most significant zeroes if needed)
assign PosInt = CvtResSgnE ? -ForwardedSrcAE : ForwardedSrcAE;
assign TrimInt = {{`XLEN-32{Int64}}, {32{1'b1}}} & PosInt;
assign IntZeroE = ~|TrimInt;
///////////////////////////////////////////////////////////////////////////
// lzc
///////////////////////////////////////////////////////////////////////////
// choose the input to the leading zero counter i.e. priority encoder
// int -> fp : | positive integer | 00000... (if needed) |
// fp -> fp : | fraction | 00000... (if needed) |
assign CvtLzcInE = IntToFp ? {TrimInt, {`LGLEN-`XLEN{1'b0}}} :
{XManE[`NF-1:0], {`LGLEN-`NF{1'b0}}};
lzc #(`LGLEN) lzc (.num(CvtLzcInE), .ZeroCnt);
///////////////////////////////////////////////////////////////////////////
// shifter
///////////////////////////////////////////////////////////////////////////
// kill the shift if it's negitive
// select the amount to shift by
// fp -> int:
// - shift left by CalcExp - essentially shifting until the unbiased exponent = 0
// - don't shift if supposed to shift right (underflowed or denorm input)
// denormalized/undeflowed result fp -> fp:
// - shift left by NF-1+CalcExp - to shift till the biased expoenent is 0
// ??? -> fp:
// - shift left by ZeroCnt+1 - to shift till the result is normalized
// - only shift fp -> fp if the intital value is denormalized
// - this is a problem because the input to the lzc was the fraction rather than the mantissa
// - rather have a few and-gates than an extra bit in the priority encoder??? *** is this true?
assign CvtShiftAmtE = ToInt ? CvtCalcExpE[`LOGLGLEN-1:0]&{`LOGLGLEN{~CvtCalcExpE[`NE]}} :
CvtResDenormUfE&~IntToFp ? (`LOGLGLEN)'(`NF-1)+CvtCalcExpE[`LOGLGLEN-1:0] :
(ZeroCnt+1)&{`LOGLGLEN{XDenormE|IntToFp}};
///////////////////////////////////////////////////////////////////////////
// exp calculations
///////////////////////////////////////////////////////////////////////////
// *** possible optimizaations:
// - if subtracting exp by bias only the msb needs a full adder, the rest can be HA - dunno how to implement this for synth
// - Smaller exp -> Larger Exp can be calculated with: *** can use in Other units??? FMA??? insert this thing in later
// Exp if in range: {~Exp[SNE-1], Exp[SNE-2:0]}
// Exp in range if: Exp[SNE-1] = 1 & Exp[LNE-2:SNE] = 1111... & Exp[LNE-1] = 0 | Exp[SNE-1] = 0 & Exp[LNE-2:SNE] = 000... & Exp[LNE-1] = 1
// i.e.: &Exp[LNE-2:SNE-1] xor Exp[LNE-1]
// Too big if: Exp[LNE-1] = 1
// Too small if: none of the above
// Select the bias of the output
// fp -> int : select 1
// ??? -> fp : pick the new bias depending on the output format
if (`FPSIZES == 1) begin
assign NewBias = ToInt ? (`NE-1)'(1) : (`NE-1)'(`BIAS);
end else if (`FPSIZES == 2) begin
assign NewBias = ToInt ? (`NE-1)'(1) : OutFmt ? (`NE-1)'(`BIAS) : (`NE-1)'(`BIAS1);
end else if (`FPSIZES == 3) begin
logic [`NE-2:0] NewBiasToFp;
always_comb
case (OutFmt)
`FMT: NewBiasToFp = (`NE-1)'(`BIAS);
`FMT1: NewBiasToFp = (`NE-1)'(`BIAS1);
`FMT2: NewBiasToFp = (`NE-1)'(`BIAS2);
default: NewBiasToFp = {`NE-1{1'bx}};
endcase
assign NewBias = ToInt ? (`NE-1)'(1) : NewBiasToFp;
end else if (`FPSIZES == 4) begin
logic [`NE-2:0] NewBiasToFp;
always_comb
case (OutFmt)
2'h3: NewBiasToFp = (`NE-1)'(`Q_BIAS);
2'h1: NewBiasToFp = (`NE-1)'(`D_BIAS);
2'h0: NewBiasToFp = (`NE-1)'(`S_BIAS);
2'h2: NewBiasToFp = (`NE-1)'(`H_BIAS);
endcase
assign NewBias = ToInt ? (`NE-1)'(1) : NewBiasToFp;
end
// select the old exponent
// int -> fp : largest bias + XLEN
// fp -> ??? : XExp
assign OldExp = IntToFp ? (`NE)'(`BIAS)+(`NE)'(`XLEN) : XExpE;
// calculate CalcExp
// fp -> fp :
// - XExp - Largest bias + new bias - (ZeroCnt+1)
// only do ^ if the input was denormalized
// - convert the expoenent to the final preciaion (Exp - oldBias + newBias)
// - correct the expoent when there is a normalization shift ( + ZeroCnt+1)
// fp -> int : XExp - Largest Bias + 1 - (ZeroCnt+1)
// | `XLEN zeros | Mantissa | 0's if nessisary | << CalcExp
// process:
// - start
// | `XLEN zeros | Mantissa | 0's if nessisary |
//
// - shift left 1 (1)
// | `XLEN-1 zeros |bit| frac | 0's if nessisary |
// . <- binary point
//
// - shift left till unbiased exponent is 0 (XExp - Largest Bias)
// | 0's | Mantissa | 0's if nessisary |
// | keep |
//
// - if the input is denormalized then we dont shift... so the "- (ZeroCnt+1)" is just leftovers from other options
// int -> fp : largest bias + XLEN - Largest bias + new bias - 1 - ZeroCnt = XLEN + NewBias - 1 - ZeroCnt
// Process:
// - shifted right by XLEN (XLEN)
// - shift left to normilize (-1-ZeroCnt)
// - newBias to make the biased exponent
//
assign CvtCalcExpE = {1'b0, OldExp} - (`NE+1)'(`BIAS) + {2'b0, NewBias} - {{`NE{1'b0}}, XDenormE|IntToFp} - {{`NE-`LOGLGLEN+1{1'b0}}, (ZeroCnt&{`LOGLGLEN{XDenormE|IntToFp}})};
// find if the result is dnormal or underflows
// - if Calculated expoenent is 0 or negitive (and the input/result is not exactaly 0)
// - can't underflow an integer to Fp conversion
assign CvtResDenormUfE = (~|CvtCalcExpE | CvtCalcExpE[`NE])&~XZeroE&~IntToFp;
///////////////////////////////////////////////////////////////////////////
// sign
///////////////////////////////////////////////////////////////////////////
// determine the sign of the result
// - if int -> fp
// - if 64-bit : check the msb of the 64-bit integer input and if it's signed
// - if 32-bit : check the msb of the 32-bit integer input and if it's signed
// - otherwise: the floating point input's sign
assign CvtResSgnE = IntToFp ? Int64 ? ForwardedSrcAE[`XLEN-1]&Signed : ForwardedSrcAE[31]&Signed : XSgnE;
endmodule