xref: /XiangShan/src/main/scala/xiangshan/backend/fu/SRT16Divider.scala (revision b03c55a5df5dc8793cb44b42dd60141566e57e78)
1/***************************************************************************************
2* Copyright (c) 2024 Beijing Institute of Open Source Chip (BOSC)
3* Copyright (c) 2020-2024 Institute of Computing Technology, Chinese Academy of Sciences
4* Copyright (c) 2020-2021 Peng Cheng Laboratory
5*
6* XiangShan is licensed under Mulan PSL v2.
7* You can use this software according to the terms and conditions of the Mulan PSL v2.
8* You may obtain a copy of Mulan PSL v2 at:
9*          http://license.coscl.org.cn/MulanPSL2
10*
11* THIS SOFTWARE IS PROVIDED ON AN "AS IS" BASIS, WITHOUT WARRANTIES OF ANY KIND,
12* EITHER EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO NON-INFRINGEMENT,
13* MERCHANTABILITY OR FIT FOR A PARTICULAR PURPOSE.
14*
15* See the Mulan PSL v2 for more details.
16***************************************************************************************/
17
18// This file contains components originally written by Yifei He, see
19// https://github.com/OpenXiangShan/XS-Verilog-Library/tree/main/int_div_radix_4_v1
20// Email of original author: [email protected]
21
22package xiangshan.backend.fu
23
24import org.chipsalliance.cde.config.Parameters
25import chisel3._
26import chisel3.util._
27import utils._
28import utility._
29import xiangshan._
30import xiangshan.backend.fu.util.CSA3_2
31
32class SRT16DividerDataModule(len: Int) extends Module {
33  val io = IO(new Bundle() {
34    val src = Vec(2, Input(UInt(len.W)))
35    val valid, sign, kill_w, kill_r, isHi, isW = Input(Bool())
36    val in_ready = Output(Bool())
37    val out_valid = Output(Bool())
38    val out_validNext = Output(Bool())
39    val out_data = Output(UInt(len.W))
40    val out_ready = Input(Bool())
41  })
42
43  // consts
44  val lzc_width = log2Up(len)
45  val itn_len = 1 + len + 2 + 1
46
47  val (a, d, sign, valid, kill_w, kill_r, isHi, isW) =
48    (io.src(0), io.src(1), io.sign, io.valid, io.kill_w, io.kill_r, io.isHi, io.isW)
49  val in_fire = valid && io.in_ready
50  val out_fire = io.out_ready && io.out_valid
51  val newReq = in_fire
52  val s_idle :: s_pre_0 :: s_pre_1 :: s_iter :: s_post_0 :: s_post_1 :: s_finish :: Nil = Enum(7)
53  val quot_neg_2 :: quot_neg_1 :: quot_0 :: quot_pos_1 :: quot_pos_2 :: Nil = Enum(5)
54
55
56  val state = RegInit((1 << s_idle.litValue.toInt).U(7.W))
57
58  // reused wires
59//  val aNormAbs = Wire(UInt((len + 1).W)) // Inputs of xNormAbs regs below
60//  val dNormAbs = Wire(UInt((len + 1).W))
61  val quotIter = Wire(UInt(len.W))
62  val quotM1Iter = Wire(UInt(len.W))
63  val aLZC = Wire(UInt((lzc_width + 1).W))
64  val dLZC = Wire(UInt((lzc_width + 1).W))
65
66  val rNext = Wire(UInt(itn_len.W))
67  val rNextPd = Wire(UInt(itn_len.W))
68
69  val aInverter = Wire(UInt(len.W)) // results of global inverter
70  val dInverter = Wire(UInt(len.W))
71
72  val finalIter = Wire(Bool())
73  val special = Wire(Bool())
74
75  // reused regs
76//  val aNormAbsReg = RegEnable(aNormAbs, newReq | state(s_pre_0) | state(s_post_0)) // reg for normalized a & d and rem & rem+d
77//  val dNormAbsReg = RegEnable(dNormAbs, newReq | state(s_pre_0) | state(s_post_0))
78  val quotIterReg = RegEnable(quotIter, state(s_pre_1) | state(s_iter) | state(s_post_0))
79  val quotM1IterReg = RegEnable(quotM1Iter, state(s_pre_1) | state(s_iter) | state(s_post_0))
80  val specialReg = RegEnable(special, state(s_pre_1))
81  val aReg = RegEnable(a, in_fire)
82
83  when(kill_r) {
84    state := UIntToOH(s_idle, 7)
85  } .elsewhen(state(s_idle) && in_fire && !kill_w) {
86    state := UIntToOH(s_pre_0, 7)
87  } .elsewhen(state(s_pre_0)) { // leading zero detection
88    state := UIntToOH(s_pre_1, 7)
89  } .elsewhen(state(s_pre_1)) { // shift a/b
90    state := Mux(special, UIntToOH(s_post_1, 7), UIntToOH(s_iter, 7))
91  } .elsewhen(state(s_iter)) { // (ws[j+1], wc[j+1]) = 4(ws[j],wc[j]) - q(j+1)*d
92    state := Mux(finalIter, UIntToOH(s_post_0, 7), UIntToOH(s_iter, 7))
93  } .elsewhen(state(s_post_0)) { // if rem < 0, rem = rem + d
94    state := UIntToOH(s_post_1, 7)
95  } .elsewhen(state(s_post_1)) {
96    state := UIntToOH(s_finish, 7)
97  } .elsewhen(state(s_finish) && io.out_ready) {
98    state := UIntToOH(s_idle, 7)
99  } .otherwise {
100    state := state
101  }
102
103  io.in_ready := state(s_idle)
104  aInverter := -Mux(state(s_idle), a, quotIterReg) // 64, 0
105  dInverter := -Mux(state(s_idle), d, quotM1IterReg) // 64, 0
106
107  val aSign = io.sign && a(len - 1) // 1
108  val dSign = io.sign && d(len - 1)
109  val dSignReg = RegEnable(dSign, newReq)
110
111  val aAbs = Mux(aSign, aInverter, a) // 64, 0
112  val dAbs = Mux(dSign, dInverter, d)
113  val aAbsReg = RegEnable(aAbs, newReq)
114  val dAbsReg = RegEnable(dAbs, newReq)
115
116  val aNorm = (aAbsReg(len - 1, 0) << aLZC(lzc_width - 1, 0))(len - 1, 0) // 64, 65
117  val dNorm = (dAbsReg(len - 1, 0) << dLZC(lzc_width - 1, 0))(len - 1, 0)
118
119  val aNormReg = RegEnable(aNorm, state(s_pre_0))
120  val dNormReg = RegEnable(dNorm, state(s_pre_0))
121
122//  aNormAbs := Mux1H(Seq(
123//    state(s_idle) -> Cat(0.U(1.W), aAbs), // 65, 0
124//    state(s_pre_0) -> Cat(0.U(1.W), aNorm), // 65, 0
125//    state(s_post_0) -> rNext(len + 3, 3) // remainder 65, 64. highest is sign bit
126//  ))
127//  dNormAbs := Mux1H(Seq(
128//    state(s_idle) -> Cat(0.U(1.W), dAbs),
129//    state(s_pre_0) -> Cat(0.U(1.W), dNorm),
130//    state(s_post_0) -> rNextPd(len + 3, 3)
131//    ))
132
133  // Second cycle, state is pre_0
134  // calculate lzc and move div* and lzc diff check if no_iter_needed
135
136  aLZC := PriorityEncoder(aAbsReg(len - 1, 0).asBools.reverse)
137  dLZC := PriorityEncoder(dAbsReg(len - 1, 0).asBools.reverse)
138  val aLZCReg = RegEnable(aLZC, state(s_pre_0)) // 7, 0
139  val dLZCReg = RegEnable(dLZC, state(s_pre_0))
140
141  val lzcWireDiff = Cat(0.U(1.W), dLZC(lzc_width - 1, 0)) - Cat(0.U(1.W), aLZC(lzc_width - 1, 0)) // 7, 0
142  val lzcRegDiff = Cat(0.U(1.W), dLZCReg(lzc_width - 1, 0)) - Cat(0.U(1.W), aLZCReg(lzc_width - 1, 0))
143//  val lzcDiff = Mux(state(s_pre_0), lzcWireDiff, lzcRegDiff)
144
145  // special case:
146  // divisor is 1 or -1; dividend has less bits than divisor; divisor is zero
147  // s_pre_0:
148  val dIsOne = dLZC(lzc_width - 1, 0).andR
149  val dIsZero = ~dNormReg.orR
150  val aIsZero = RegEnable(aLZC(lzc_width), state(s_pre_0))
151  val aTooSmall = RegEnable(aLZC(lzc_width) | lzcWireDiff(lzc_width), state(s_pre_0))
152  special := dIsOne | dIsZero | aTooSmall
153
154  val quotSpecial = Mux(dIsZero, VecInit(Seq.fill(len)(true.B)).asUInt,
155                            Mux(aTooSmall, 0.U,
156                              Mux(dSignReg, -aReg, aReg) //  signed 2^(len-1)
157                            ))
158  val remSpecial = Mux(dIsZero || aTooSmall, aReg, 0.U)
159  val quotSpecialReg = RegEnable(quotSpecial, state(s_pre_1))
160  val remSpecialReg = RegEnable(remSpecial, state(s_pre_1))
161
162  // s_pre_1
163  val quotSign = Mux(state(s_idle), aSign ^ dSign, true.B) // if not s_idle then must be s_pre_1 & dIsZero, and that we have
164  val rSign = aSign
165  val quotSignReg = RegEnable(quotSign, in_fire | (state(s_pre_1) & dIsZero))
166  val rSignReg = RegEnable(rSign, in_fire)
167
168  val rShift = lzcRegDiff(0)
169  val oddIter = lzcRegDiff(1) ^ lzcRegDiff(0)
170  val iterNum = Wire(UInt((lzc_width - 2).W))
171  val iterNumReg = RegEnable(iterNum, state(s_pre_1) | state(s_iter))
172  iterNum := Mux(state(s_pre_1), (lzcRegDiff + 1.U) >> 2, iterNumReg -% 1.U)
173  finalIter := iterNumReg === 0.U
174
175  val rSumInit = Cat(0.U(3.W), Mux(rShift, Cat(0.U(1.W), aNormReg), Cat(aNormReg, 0.U(1.W)))) //(1, 67), 0.001xxx
176  val rCarryInit = 0.U(itn_len.W)
177
178  val rSumInitTrunc = Cat(0.U(1.W), rSumInit(itn_len - 4, itn_len - 4 - 4 + 1)) // 0.00___
179  val mInitPos1 = MuxLookup(dNormReg(len-2, len-4), "b00100".U(5.W))(
180    Seq(
181      0.U -> "b00100".U(5.W),
182      1.U -> "b00100".U(5.W),
183      2.U -> "b00100".U(5.W),
184      3.U -> "b00110".U(5.W),
185      4.U -> "b00110".U(5.W),
186      5.U -> "b00110".U(5.W),
187      6.U -> "b00110".U(5.W),
188      7.U -> "b01000".U(5.W),
189    )
190  )
191  val mInitPos2 = MuxLookup(dNormReg(len-2, len-4), "b01100".U(5.W))(
192    Seq(
193      0.U -> "b01100".U(5.W),
194      1.U -> "b01110".U(5.W),
195      2.U -> "b01111".U(5.W),
196      3.U -> "b10000".U(5.W),
197      4.U -> "b10010".U(5.W),
198      5.U -> "b10100".U(5.W),
199      6.U -> "b10110".U(5.W),
200      7.U -> "b10110".U(5.W),
201    )
202  )
203  val initCmpPos1 = rSumInitTrunc >= mInitPos1
204  val initCmpPos2 = rSumInitTrunc >= mInitPos2
205  val qInit = Mux(initCmpPos2, UIntToOH(quot_pos_2, 5), Mux(initCmpPos1, UIntToOH(quot_pos_1, 5), UIntToOH(quot_0, 5)))
206
207  // in pre_1 we also obtain m_i + 16u * d for all u
208  // udNeg -> (rud, r2ud) -> (rudPmNeg, r2udPmNeg)
209  val dPos = Cat(0.U(1.W), dNormReg)                          // +d, 0.1xxx, (1, 64)
210  val dNeg = -Cat(0.U(1.W), dNormReg) // -d, 1.xxxx, (1, 64)
211  // val m = Wire(Vec(4, UInt(7.W)))     // we have to sigext them to calculate rqd-m_k
212
213  // index 0 is for q=-2 and 4 is for q=2!!!
214  val mNeg = Wire(Vec(4, UInt(12.W))) // selected m, extended to (6, 6) bits
215  val rudNeg = Wire(Vec(5, UInt(10.W))) // (4, 6)
216  val r2udNeg = Wire(Vec(5, UInt(12.W))) // (6, 6)
217
218  // Selection Block with improved timing
219  val rudPmNeg = Wire(Vec(5, Vec(4, UInt(10.W)))) // -(r*u*d+m_k), (5, 5) bits
220  val r2ws = Wire(UInt(10.W)) // r^2*ws (5, 5) bits
221  val r2wc = Wire(UInt(10.W))
222  // calculating exact values of w
223  val udNeg = Wire(Vec(5, UInt(itn_len.W))) // (3, 65), 1 signExt'ed Bit
224  // val r3udNeg = Wire(Vec(5, UInt(13.W)))
225
226  // Speculative Block
227  val r2udPmNeg = Wire(Vec(5, Vec(4, UInt(13.W)))) // -(r^2*d*d+m_k), (7, 6) bits. 1st index for q 2nd for m
228  val r3ws = Wire(UInt(13.W)) // r^3*ws, (7, 6) bits
229  val r3wc = Wire(UInt(13.W))
230  val qSpec = Wire(Vec(5, UInt(5.W))) // 5 speculative results of qNext2
231  // output wires
232  val qNext = Wire(UInt(5.W))
233  val qNext2 = Wire(UInt(5.W))
234  val rCarryIter = Wire(UInt(itn_len.W)) // (1, 67)
235  val rSumIter = Wire(UInt(itn_len.W))
236  // val r3wsIter = Wire(UInt(13.W))
237  // val r3wcIter = Wire(UInt(13.W))
238  // Input Regs of whole Spec + Sel + sum adder block
239  val qPrevReg = RegEnable(Mux(state(s_pre_1), qInit, qNext2), state(s_pre_1) | state(s_iter))
240  val rSumReg = RegEnable(Mux(state(s_pre_1), rSumInit, rSumIter), state(s_pre_1) | state(s_iter)) // (1, 67)
241  val rCarryReg = RegEnable(Mux(state(s_pre_1), rCarryInit, rCarryIter), state(s_pre_1) | state(s_iter))
242
243  // Give values to the regs and wires above...
244  val dForLookup = dPos(len-2, len-4)
245  mNeg := VecInit(Cat(SignExt(MuxLookup(dNormReg(len-2, len-4), "b00000000".U(7.W))(mLookUpTable2.minus_m(0)), 11), 0.U(1.W)), // (2, 5) -> (6, 6)
246                  Cat(SignExt(MuxLookup(dNormReg(len-2, len-4), "b00000000".U(7.W))(mLookUpTable2.minus_m(1)), 10) ,0.U(2.W)), // (3, 4) -> (6, 6)
247                  Cat(SignExt(MuxLookup(dNormReg(len-2, len-4), "b00000000".U(7.W))(mLookUpTable2.minus_m(2)), 10) ,0.U(2.W)),
248                  Cat(SignExt(MuxLookup(dNormReg(len-2, len-4), "b00000000".U(7.W))(mLookUpTable2.minus_m(3)), 11) ,0.U(1.W))
249  )
250  udNeg := VecInit( Cat(SignExt(dPos, 66), 0.U(2.W)),
251                    Cat(SignExt(dPos, 67), 0.U(1.W)),
252                    0.U,
253                    Cat(SignExt(dNeg, 67), 0.U(1.W)),
254                    Cat(SignExt(dNeg, 66), 0.U(2.W))
255  )
256
257  rudNeg := VecInit(Seq.tabulate(5){i => udNeg(i)(itn_len-2, itn_len-11)})
258  r2udNeg := VecInit(Seq.tabulate(5){i => udNeg(i)(itn_len-2, itn_len-13)})
259  // r3udNeg := VecInit(Seq.tabulate(5){i => udNeg(i)(itn_len-2, itn_len-13)})
260  rudPmNeg := VecInit(Seq.tabulate(5){i => VecInit(Seq.tabulate(4){ j => SignExt(rudNeg(i)(9, 1), 10) + mNeg(j)(10, 1)})})
261  r2udPmNeg := VecInit(Seq.tabulate(5){i => VecInit(Seq.tabulate(4){ j => SignExt(r2udNeg(i), 13) + SignExt(mNeg(j), 13)})})
262  r3ws := rSumReg(itn_len-1, itn_len-13)
263  r3wc := rCarryReg(itn_len-1, itn_len-13)
264
265  r2ws := rSumReg(itn_len-1, itn_len-10)
266  r2wc := rCarryReg(itn_len-1, itn_len-10)
267
268  val udNegReg = RegEnable(udNeg, state(s_pre_1))
269//  val rudNegReg = RegEnable(rudNeg, state(s_pre_1))
270  val rudPmNegReg = RegEnable(rudPmNeg, state(s_pre_1))
271  val r2udPmNegReg = RegEnable(r2udPmNeg, state(s_pre_1))
272
273  def DetectSign(signs: UInt, name: String): UInt = {
274    val qVec = Wire(Vec(5, Bool())).suggestName(name)
275    qVec(quot_neg_2) := signs(0) && signs(1) && signs(2)
276    qVec(quot_neg_1) := ~signs(0) && signs(1) && signs(2)
277    qVec(quot_0) := signs(2) && ~signs(1)
278    qVec(quot_pos_1) := signs(3) && ~signs(2) && ~signs(1)
279    qVec(quot_pos_2) := ~signs(3) && ~signs(2) && ~signs(1)
280    qVec.asUInt
281  }
282  // Selection block
283  val signs = VecInit(Seq.tabulate(4){ i => {
284    val csa = Module(new CSA3_2(10)).suggestName(s"csa_sel_${i}")
285    csa.io.in(0) := r2ws
286    csa.io.in(1) := r2wc
287    csa.io.in(2) := Mux1H(qPrevReg, rudPmNegReg.toSeq)(i) // rudPmNeg(OHToUInt(qPrevReg))(i)
288
289      (csa.io.out(0) + (csa.io.out(1)(8, 0) << 1))(9)
290    }})
291  qNext := DetectSign(signs.asUInt, s"sel_q")
292  val csaWide1 = Module(new CSA3_2(itn_len)).suggestName("csa_sel_wide_1")
293  val csaWide2 = Module(new CSA3_2(itn_len)).suggestName("csa_sel_wide_2")
294  csaWide1.io.in(0) := rSumReg << 2
295  csaWide1.io.in(1) := rCarryReg << 2
296  csaWide1.io.in(2) := Mux1H(qPrevReg, udNegReg.toSeq) << 2//udNeg(OHToUInt(qPrevReg)) << 2
297  csaWide2.io.in(0) := csaWide1.io.out(0) << 2
298  csaWide2.io.in(1) := (csaWide1.io.out(1) << 1)(itn_len-1, 0) << 2
299  csaWide2.io.in(2) := Mux1H(qNext, udNegReg.toSeq) << 2 // udNeg(OHToUInt(qNext)) << 2
300  rSumIter := Mux(~oddIter & finalIter, csaWide1.io.out(0), csaWide2.io.out(0))
301  rCarryIter := Mux(~oddIter & finalIter, (csaWide1.io.out(1) << 1)(itn_len-1, 0), (csaWide2.io.out(1) << 1)(itn_len-1, 0))
302  // r3wsIter := r3udNeg(OHToUInt(qNext))
303  // r3wcIter := (csaWide1.io.out(0)(itn_len-3, itn_len-16) + (csaWide1.io.out(1) << 1)(itn_len-3, itn_len-16))(13,1)
304  // Speculative block
305  qSpec := VecInit(Seq.tabulate(5){ q_spec => {
306      val csa1 = Module(new CSA3_2(13)).suggestName(s"csa_spec_${q_spec}")
307      csa1.io.in(0) := r3ws
308      csa1.io.in(1) := r3wc
309      csa1.io.in(2) := SignExt(udNegReg(q_spec)(itn_len-2, itn_len-11), 13) // (4, 6) -> (7, 6)
310      val signs2 = VecInit(Seq.tabulate(4){ i => {
311        val csa2 = Module(new CSA3_2(13)).suggestName(s"csa_spec_${q_spec}_${i}")
312        csa2.io.in(0) := csa1.io.out(0)
313        csa2.io.in(1) := (csa1.io.out(1) << 1)(12, 0)
314        csa2.io.in(2) := Mux1H(qPrevReg, r2udPmNegReg.toSeq)(i) // r2udPmNeg(OHToUInt(qPrevReg))(i)
315        (csa2.io.out(0) + (csa2.io.out(1)(11, 0) << 1))(12)
316      }})
317      val qVec2 = DetectSign(signs2.asUInt, s"spec_q_${q_spec}")
318      qVec2
319  }})
320  // qNext2 := qSpec(OHToUInt(qNext)) // TODO: Use Mux1H!!
321
322  qNext2 := Mux1H(qNext, qSpec.toSeq)
323
324  // on the fly quotient conversion
325  val quotHalfIter = Wire(UInt(64.W))
326  val quotM1HalfIter = Wire(UInt(64.W))
327  val quotIterNext = Wire(UInt(64.W))
328  val quotM1IterNext = Wire(UInt(64.W))
329  def OTFC(q: UInt, quot: UInt, quotM1: UInt): (UInt, UInt) = {
330    val quotNext = Mux1H(Seq(
331    q(quot_pos_2) -> (quot << 2 | "b10".U),
332    q(quot_pos_1) -> (quot << 2 | "b01".U),
333    q(quot_0)     -> (quot << 2 | "b00".U),
334    q(quot_neg_1) -> (quotM1 << 2 | "b11".U),
335    q(quot_neg_2) -> (quotM1 << 2 | "b10".U)
336    ))
337    val quotM1Next = Mux1H(Seq(
338    q(quot_pos_2) -> (quot << 2 | "b01".U),
339    q(quot_pos_1) -> (quot << 2 | "b00".U),
340    q(quot_0)     -> (quotM1 << 2 | "b11".U),
341    q(quot_neg_1) -> (quotM1 << 2 | "b10".U),
342    q(quot_neg_2) -> (quotM1 << 2 | "b01".U)
343    ))
344    (quotNext(len-1, 0), quotM1Next(len-1, 0))
345  }
346  quotHalfIter := OTFC(qPrevReg, quotIterReg, quotM1IterReg)._1
347  quotM1HalfIter := OTFC(qPrevReg, quotIterReg, quotM1IterReg)._2
348  quotIterNext := Mux(~oddIter && finalIter, quotHalfIter, OTFC(qNext, quotHalfIter, quotM1HalfIter)._1)
349  quotM1IterNext := Mux(~oddIter && finalIter, quotM1HalfIter, OTFC(qNext, quotHalfIter, quotM1HalfIter)._2)
350  // quotIter := Mux(state(s_pre_1),  0.U(len.W),
351  //                     Mux(state(s_iter), quotIterNext,
352  //                       Mux(quotSignReg, aInverter, quotIterReg)))
353  // quotM1Iter := Mux(state(s_pre_1),
354  //                       0.U(len.W), Mux(state(s_iter), quotM1IterNext,
355  //                         Mux(quotSignReg, dInverter, quotM1IterReg)))
356
357  quotIter := Mux(state(s_iter), quotIterNext,
358                    Mux(state(s_pre_1), 0.U(len.W),
359                      Mux(quotSignReg, aInverter, quotIterReg)))
360  quotM1Iter := Mux(state(s_iter), quotM1IterNext,
361                      Mux(state(s_pre_1), 0.U(len.W),
362                        Mux(quotSignReg, dInverter, quotM1IterReg)))
363  // finally, to the recovery stages!
364
365  when(rSignReg) {
366    rNext := ~rSumReg + ~rCarryReg + 2.U
367    rNextPd := ~rSumReg + ~rCarryReg + ~Cat(0.U(1.W), dNormReg, 0.U(3.W)) + 3.U
368  } .otherwise {
369    rNext := rSumReg + rCarryReg
370    rNextPd := rSumReg + rCarryReg + Cat(0.U(1.W), dNormReg, 0.U(3.W))
371  }
372  val rNextReg = RegEnable(rNext(len + 3, 3), state(s_post_0))
373  val rNextPdReg = RegEnable(rNextPd(len + 3, 3), state(s_post_0))
374  dontTouch(rNextReg)
375  // post_1
376  val r = rNextReg
377  val rPd = rNextPdReg
378  val rIsZero = ~(r.orR)
379  val needCorr = Mux(rSignReg, ~r(len) & r.orR, r(len)) // when we get pos rem for a<0 or neg rem for a>0
380  val rPreShifted = Mux(needCorr, rPd, r)
381  val rightShifter = Module(new RightShifter(len, lzc_width))
382  rightShifter.io.in := rPreShifted
383  rightShifter.io.shiftNum := dLZCReg
384  rightShifter.io.msb := Mux(~(rPreShifted.orR), 0.U, rSignReg)
385  val rShifted = rightShifter.io.out
386  val rFinal = RegEnable(Mux(specialReg, remSpecialReg, rShifted), state(s_post_1))// right shifted remainder. shift by the number of bits divisor is shifted
387  val qFinal = RegEnable(Mux(specialReg, quotSpecialReg, Mux(needCorr, quotM1IterReg, quotIterReg)), state(s_post_1))
388  val res = Mux(isHi, rFinal, qFinal)
389  io.out_data := Mux(isW,
390    SignExt(res(31, 0), len),
391    res
392  )
393  io.in_ready := state(s_idle)
394  io.out_valid := state(s_finish)
395  io.out_validNext := state(s_post_1)
396}
397
398object mLookUpTable2 {
399  // Usage :
400  // result := decoder(QMCMinimizer, index, mLookupTable.xxx)
401  val minus_m = Seq(
402    Seq( // -m[-1]
403      0.U -> "b00_11010".U(7.W),
404      1.U -> "b00_11110".U(7.W),
405      2.U -> "b01_00000".U(7.W),
406      3.U -> "b01_00100".U(7.W),
407      4.U -> "b01_00110".U(7.W),
408      5.U -> "b01_01010".U(7.W),
409      6.U -> "b01_01100".U(7.W),
410      7.U -> "b01_10000".U(7.W)
411    ),
412    Seq( // -m[0]
413      0.U -> "b000_0100".U(7.W),
414      1.U -> "b000_0110".U(7.W),
415      2.U -> "b000_0110".U(7.W),
416      3.U -> "b000_0110".U(7.W),
417      4.U -> "b000_1000".U(7.W),
418      5.U -> "b000_1000".U(7.W),
419      6.U -> "b000_1000".U(7.W),
420      7.U -> "b000_1000".U(7.W)
421    ),
422    Seq( //-m[1]
423      0.U -> "b111_1101".U(7.W),
424      1.U -> "b111_1100".U(7.W),
425      2.U -> "b111_1100".U(7.W),
426      3.U -> "b111_1100".U(7.W),
427      4.U -> "b111_1011".U(7.W),
428      5.U -> "b111_1010".U(7.W),
429      6.U -> "b111_1010".U(7.W),
430      7.U -> "b111_1010".U(7.W)
431    ),
432    Seq( //-m[2]
433      0.U -> "b11_01000".U(7.W),
434      1.U -> "b11_00100".U(7.W),
435      2.U -> "b11_00010".U(7.W),
436      3.U -> "b10_11110".U(7.W),
437      4.U -> "b10_11100".U(7.W),
438      5.U -> "b10_11000".U(7.W),
439      6.U -> "b10_10110".U(7.W),
440      7.U -> "b10_10010".U(7.W)
441    ))
442}
443