/////////////////////////////////////////// // fcvt.sv // // Written: me@KatherineParry.com // Modified: 7/5/2022 // // Purpose: Floating point conversions of configurable size // // Documentation: RISC-V System on Chip Design Chapter 13 // // Int component of the Wally configurable RISC-V project. // // Copyright (C) 2021-23 Harvey Mudd College & Oklahoma State University // // SPDX-License-Identifier: Apache-2.0 WITH SHL-2.1 // // Licensed under the Solderpad Hardware License v 2.1 (the “License”); you may not use this file // except in compliance with the License, or, at your option, the Apache License version 2.0. You // may obtain a copy of the License at // // https://solderpad.org/licenses/SHL-2.1/ // // Unless required by applicable law or agreed to in writing, any work distributed under the // License is distributed on an “AS IS” BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, // either express or implied. See the License for the specific language governing permissions // and limitations under the License. //////////////////////////////////////////////////////////////////////////////////////////////// `include "wally-config.vh" module fcvt ( input logic Xs, // input's sign input logic [`NE-1:0] Xe, // input's exponent input logic [`NF:0] Xm, // input's fraction input logic [`XLEN-1:0] Int, // integer input - from IEU input logic [2:0] OpCtrl, // choose which opperation (look below for values) input logic ToInt, // is fp->int (since it's writting to the integer register) input logic XZero, // is the input zero input logic [`FMTBITS-1:0] Fmt, // the input's precision (11=quad 01=double 00=single 10=half) output logic [`NE:0] Ce, // the calculated expoent output logic [`LOGCVTLEN-1:0] ShiftAmt, // how much to shift by output logic ResSubnormUf,// does the result underflow or is subnormal output logic Cs, // the result's sign output logic IntZero, // is the integer zero? output logic [`CVTLEN-1:0] LzcIn // 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 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 [`CVTLEN:0] LzcInFull; // input to the Leading Zero Counter (priority encoder) logic [`LOGCVTLEN-1:0] LeadingZeros; // output from the LZC // seperate OpCtrl for code readability assign Signed = OpCtrl[0]; assign Int64 = OpCtrl[1]; assign IntToFp = OpCtrl[2]; // choose the ouptut format depending on the opperation // - fp -> fp: OpCtrl contains the percision of the output // - int -> fp: Fmt contains the percision of the output if (`FPSIZES == 2) assign OutFmt = IntToFp ? Fmt : (OpCtrl[1:0] == `FMT); else if (`FPSIZES == 3 | `FPSIZES == 4) assign OutFmt = IntToFp ? Fmt : OpCtrl[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 = Cs ? -Int : Int; assign TrimInt = {{`XLEN-32{Int64}}, {32{1'b1}}} & PosInt; assign IntZero = ~|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 LzcInFull = IntToFp ? {TrimInt, {`CVTLEN-`XLEN+1{1'b0}}} : {Xm, {`CVTLEN-`NF{1'b0}}}; // used as shifter input in postprocessor assign LzcIn = LzcInFull[`CVTLEN-1:0]; lzc #(`CVTLEN+1) lzc (.num(LzcInFull), .ZeroCnt(LeadingZeros)); /////////////////////////////////////////////////////////////////////////// // exp calculations /////////////////////////////////////////////////////////////////////////// // 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 logic [`NE-2:0] NewBiasToFp; assign NewBiasToFp = OutFmt ? (`NE-1)'(`BIAS) : (`NE-1)'(`BIAS1); assign NewBias = ToInt ? (`NE-1)'(1) : NewBiasToFp; 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-1 // fp -> ??? : XExp assign OldExp = IntToFp ? (`NE)'(`BIAS)+(`NE)'(`XLEN-1) : Xe; // calculate CalcExp // fp -> fp : // - XExp - Largest bias + new bias - (LeadingZeros+1) // only do ^ if the input was subnormal // - convert the expoenent to the final preciaion (Exp - oldBias + newBias) // - correct the expoent when there is a normalization shift ( + LeadingZeros+1) // - the plus 1 is built into the leading zeros by counting the leading zeroes in the mantissa rather than the fraction // fp -> int : XExp - Largest Bias + 1 - (LeadingZeros+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 subnormal then we dont shift... so the "- LeadingZeros" is just leftovers from other options // int -> fp : largest bias + XLEN-1 - Largest bias + new bias - LeadingZeros = XLEN-1 + NewBias - LeadingZeros // Process: // |XLEN|.0000 // - shifted right by XLEN (XLEN) // 000000.|XLEN| // - shift left to normilize (-LeadingZeros) // 000000.1... // - shift left 1 to normalize // 000001.stuff // - newBias to make the biased exponent // // oldexp - biasold - LeadingZeros + newbias assign Ce = {1'b0, OldExp} - (`NE+1)'(`BIAS) - {{`NE-`LOGCVTLEN+1{1'b0}}, (LeadingZeros)} + {2'b0, NewBias}; // 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 ResSubnormUf = (~|Ce | Ce[`NE])&~XZero&~IntToFp; /////////////////////////////////////////////////////////////////////////// // 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 Subnorm input) // subnormal/undeflowed result fp -> fp: // - shift left by NF-1+CalcExp - to shift till the biased expoenent is 0 // ??? -> fp: // - shift left by LeadingZeros - to shift till the result is normalized // - only shift fp -> fp if the intital value is subnormal // - 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? always_comb if(ToInt) ShiftAmt = Ce[`LOGCVTLEN-1:0]&{`LOGCVTLEN{~Ce[`NE]}}; else if (ResSubnormUf) ShiftAmt = (`LOGCVTLEN)'(`NF-1)+Ce[`LOGCVTLEN-1:0]; else ShiftAmt = LeadingZeros; /////////////////////////////////////////////////////////////////////////// // 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 always_comb if(IntToFp) if(Int64) Cs = Int[`XLEN-1]&Signed; else Cs = Int[31]&Signed; else Cs = Xs; endmodule