469 lines
12 KiB
ArmAsm
469 lines
12 KiB
ArmAsm
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# Copyright Digital Equipment Corporation & INRIA 1988, 1989
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#
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# KerN for the RS6000
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# [Bepaul]
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#
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# La plupart du code est celui ge'ne're' par le compilo C (Cha^peau!)
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#
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.set RES,3
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.set CA1,3
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.set CA2,4
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.set CA3,5
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.set CA4,6
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.set CA5,7
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.set X4,7
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.set X3,8
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.set X2,9
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.set X1,10
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.set NN1,CA1
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.set MM1,CA1
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.set D1,CA1
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.set NN2,CA2
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.set NL2,CA2
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.set ML2,CA2
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.set D2,CA2
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.set NN3,CA3
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.set NL3,CA3
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.set NL4,CA4
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.toc
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T.bignum_dat: .tc bignum_dat[TC],bignum_dat[RW]
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.csect bignum_dat[RW]
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.csect bignum_txt[PR]
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.globl .BnnSetToZero # BnnSetToZero(nn, nl)
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.BnnSetToZero: cmpi 0,NL2,0 # if(nl <= 0) return;
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bler
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mtctr NL2 # ctr = nl;
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lil X1,0 # cte = 0;
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ai NN1,NN1,-4 # nn--;
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BSTZ1: stu X1,4(NN1) # *(++nn) = cte;
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bdn BSTZ1 # if(--ctr != 0) goto BSTZ1;
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br # return;
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.globl .BnnAssign # BnnAssign(mm, nn, nl)
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.BnnAssign: cmpi 0,NL3,0 # if(nl <= 0) return;
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bler
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mtctr NL3 # ctr = nl;
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cmpl 0,MM1,NN2 # if(mm >= nn) goto BAG2;
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bge BAG2
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ai MM1,MM1,-4 # mm--;
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ai NN2,NN2,-4 # nn--;
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BAG1: lu X1,4(NN2) # X = *(++nn);
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stu X1,4(MM1) # *(++mm) = X;
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bdn BAG1 # if(--ctr != 0) goto BAG1;
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br
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BAG2: beqr # if(mm == nn) return;
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sli X1,NL3,2
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a NN2,NN2,X1 # nn += nl;
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a MM1,MM1,X1 # mm += nl;
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BAG3: lu X1,-4(NN2) # X = *(--nn);
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stu X1,-4(MM1) # *(--mm) = X;
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bdn BAG3 # (if(--ctr != 0) goto BAG3;
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br # return;
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.globl .BnnSetDigit # BnnSetDigit(nn, d)
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.BnnSetDigit: st D2,0(NN1)
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br
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.globl .BnnGetDigit # BnnGetDigit(nn)
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.BnnGetDigit: l RES,0(NN1)
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br
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.globl .BnnNumDigits # BnnNumDigits(nn, nl)
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.BnnNumDigits: cmpi 0,NL2,0 # if(nl <= 0) return(1);
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ble BND2
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sli X1,NL2,2
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a NN1,NN1,X1 # nn += nl;
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mtctr NL2 # ctr = nl;
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BND1: lu X1,-4(NN1) # X = *(--nn);
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cmpi 0,X1,0 # if(X != 0) goto BND3
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bne BND3
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bdn BND1 # if(--ctr != 0) goto BND1;
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BND2: lil RES,1 # return(1);
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br
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BND3: mfctr RES # return(ctr);
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br
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.globl .BnnNumLeadingZeroBitsInDigit # (d)
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.BnnNumLeadingZeroBitsInDigit:
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cntlz RES,D1 # Yeah!
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br
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.globl .BnnDoesDigitFitInWord # (d)
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.BnnDoesDigitFitInWord:
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lil RES,1 # return(1);
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br
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.globl .BnnIsDigitZero # BnnIsDigitZero(d)
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.BnnIsDigitZero: # Use the fact that nabs(d) >=0 <=> d == 0
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nabs RES,D1
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rlinm RES,RES,1,31,31 # sign in the lowest bit.
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xoril RES,RES,1 # get the inverse.
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br
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.globl .BnnIsDigitNormalized # (d)
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.BnnIsDigitNormalized:
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rlinm RES,D1,1,31,31 # sign in the lowest bit.
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br
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.globl .BnnIsDigitOdd # BnnIsDigitOdd(d)
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.BnnIsDigitOdd: rlinm RES,D1,0,31,31 # only the lowest bit.
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br
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.globl .BnnCompareDigits # BnnCompareDigits(d1, d2)
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.BnnCompareDigits:
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cmpl 0,D1,D2 # if(d1 == d2) return(0);
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beq BSD0
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bgt BCDsup # if(d1 > d2) return(1);
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lil RES,-1 # return(-1);
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BSDret: br
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BCDsup: lil RES,1 # return(1);
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br
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BSD0: lil RES,0 # return(0);
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br
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.globl .BnnComplement #.BnnComplement(nn, nl)
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.BnnComplement: cmpi 0,NL2,0 # if(nl <= 0) return;
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bler
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ai NN1,NN1,-4 # nn--;
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mtctr NL2 # ctr = nl;
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BCM1: l X1,4(NN1) # X = nn[1];
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sfi X1,X1,-1 # X ^= -1;
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stu X1,4(NN1) # *++nn = X;
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bdn BCM1 # if(--ctr > 0) goto BCM1
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br # return;
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.globl .BnnAndDigits # BnnAndDigits(nn, d)
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.BnnAndDigits: l X1,0(NN1) # X = *nn;
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and X1,X1,D2 # X &= d;
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st X1,0(NN1) # *nn = X;
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br
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.globl .BnnOrDigits # BnnOrDigits(nn, d)
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.BnnOrDigits: l X1,0(NN1) # X = *nn;
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or X1,X1,D2 # X |= d;
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st X1,0(NN1) # *nn = X;
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br
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.globl .BnnXorDigits # BnnXorDigits(nn, d)
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.BnnXorDigits: l X1,0(NN1) # X = *nn;
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xor X1,X1,D2 # X ^= d;
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st X1,0(NN1) # *nn = X;
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br
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.globl .BnnShiftLeft # BnnShiftLeft(mm, ml, nbits)
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# here and in the next funxtion we use the fact that MM1 == RES.
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.set NBI,CA3; .set SMM,X1; .set RNB,X2; .set SX,X3; .set SY,ML2
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.BnnShiftLeft: oril SMM,MM1,0
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lil RES,0 # res = 0;
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cmpi 0,NBI,0 # if(nbits == 0) return(res);
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beqr
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cmpi 0,ML2,0 # if(ml <= 0) return(res);
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bler
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sfi RNB,NBI,32 # rnbits = 32 - nbits;
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ai SMM,SMM,-4 # mm--;
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mtctr ML2 # ctr = ml;
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BSL1: l SX,4(SMM) # X = mm[1];
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sl SY,SX,NBI # Y = X << nbits;
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or SY,SY,RES # Y |= res;
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stu SY,4(SMM) # *(++mm) = Y;
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sr RES,SX,RNB # res = X >> rnbits;
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bdn BSL1 # if(--ctr > 0) goto BSL1
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br # return(res);
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.globl .BnnShiftRight # BnnShiftRight(mm, ml, nbits)
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.BnnShiftRight: sli X1,ML2,2 # mm += ml;
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a SMM,MM1,X1
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lil RES,0 # res = 0;
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cmpi 0,NBI,0 # if(nbits == 0) return(res);
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beqr
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cmpi 0,ML2,0 # if(ml <= 0) return(res);
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bler
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sfi RNB,NBI,32 # rnbits = 32 - nbits;
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mtctr ML2 # ctr = ml;
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BSR1: lu SX,-4(SMM) # X = *(--mm);
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sr SY,SX,NBI # Y = X >> nbits;
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or SY,SY,RES # Y |= res;
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st SY,0(SMM) # *(mm) = Y;
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sl RES,SX,RNB # res = X << rnbits;
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bdn BSR1 # if(--ctr > 0) goto BSR1
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br # return(res);
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.globl .BnnAddCarry # BnnAddCarry(nn, nl, carryin)
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.set CARRY,CA3 # also for BnnSubtractBorrow
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.BnnAddCarry: cmpi 0,CARRY,0 # if(carryin == 0) return(0);
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beq BAC3
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cmpi 0,NL2,0 # if(nl == 0) return(1);
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beq BAC2
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ai NN1,NN1,-4 # nn--;
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mtctr NL2 # ctr = nl;
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BAC1: l X1,4(NN1) # X = nn[1];
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ai. X1,X1,1 # X++;
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stu X1,4(NN1) # *(++nn) = X;
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bne BAC3 # if(X != 0) return(0);
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bdn BAC1 # if(--ctr > 0) goto BAC1
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BAC2: lil RES,1 # return(1);
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br
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BAC3: lil RES,0 # return(0);
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br
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.globl .BnnAdd # BnnAdd(mm, ml, nn, nl, carryin)
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.set CARRYIN,CA5 # also for BnnSubtract.
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.BnnAdd: sf ML2,NL4,ML2 # ml -= nl;
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ai NN3,NN3,-4 # nn--;
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ai MM1,MM1,-4 # mm--; carry = 1;
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cmpi 0,NL4,0 # if(nl == 0) goto BADD2;
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beq BADD2
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mtctr NL4 # ctr = nl;
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cmpi 0,CARRYIN,0 # if(carryin) goto BADD1;
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bne BADD1
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ai X1,X1,0 # carry = 0;
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BADD1: lu X2,4(NN3) # Y = *(++nn);
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l X1,4(MM1) # X = mm[1];
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ae X1,X1,X2 # X = X + Y + carry; carry = ??
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stu X1,4(MM1) # *(++mm) = X;
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bdn BADD1 # if(--ctr > 0) goto BADD1
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lil X2,0
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ae CARRYIN,X2,X2 # carryin = carry;
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BADD2: cmpi 0,CARRYIN,0 # if(carryin == 0) return(0);
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beq BADD5
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cmpi 0,ML2,0 # if(ml == 0) return(1);
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beq BADD4
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mtctr ML2 # ctr = ml;
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BADD3: l X1,4(MM1) # X = mm[1];
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ai. X1,X1,1 # X++;
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stu X1,4(MM1) # *(++mm) = X;
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bne BADD5 # if(X != 0) return(0);
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bdn BADD3 # if(--ctr > 0) goto BADD3;
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BADD4: lil RES,1 # return(1);
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br
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BADD5: lil RES,0 # return(0);
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br
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.globl .BnnSubtractBorrow # (nn, nl, carryin)
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.BnnSubtractBorrow:
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cmpi 0,CARRY,1 # if(carryin == 1) return(1);
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beq BSB3
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cmpi 0,NL2,0 # if(nl == 0) return(0);
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beq BSB2
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ai NN1,NN1,-4 # nn--;
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mtctr NL2 # ctr = nl;
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BSB1: l X1,4(NN1) # X = nn[1];
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si X2,X1,1 # Y= X-1;
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stu X2,4(NN1) # *(++nn) = Y;
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cmpi 0,X1,0
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bne BSB3 # if(X != 0) return(1);
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bdn BSB1 # if(--ctr > 0) goto BSB1
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BSB2: lil RES,0 # return(0);
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br
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BSB3: lil RES,1 # return(1);
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br
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.globl .BnnSubtract # BnnSubtract(mm, ml, nn, nl, carryin)
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.BnnSubtract: sf ML2,NL4,ML2 # ml -= nl;
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ai NN3,NN3,-4 # nn--;
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ai MM1,MM1,-4 # mm--; carry = 1;
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cmpi 0,NL4,0 # if(nl == 0) goto BS2
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beq BS2
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mtctr NL4 # ctr = nl;
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cmpi 0,CARRYIN,0 # if(carryin) goto BS1
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bne BS1
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ai X1,X1,0 # carry = 0;
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BS1: lu X2,4(NN3) # Y = *(++nn);
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l X1,4(MM1) # X = mm[1];
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sfe X1,X2,X1 # X = X - (Y + carry); carry = ??
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stu X1,4(MM1) # *(++mm) = X;
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bdn BS1 # if(--ctr > 0) goto BS1
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lil CA5,0
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ae CA5,CA5,CA5 # carryin = carry;
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BS2: cmpi 0,CA5,1 # if(carryin == 0) return(1);
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beq BS5
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cmpi 0,ML2,0 # if(ml == 0) return(0);
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beq BS4
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mtctr ML2 # ctr = ml;
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BS3: l X1,4(MM1) # X = mm[1];
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si X2,X1,1 # Y= X-1;
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stu X2,4(MM1) # *(++mm) = Y;
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cmpi 0,X1,0 # if(X != 0) return(1);
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bne BS5
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bdn BS3 # if(--ctr > 0) goto BS3
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BS4: lil RES,0 # return(0);
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br
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BS5: lil RES,1 # return(1);
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br
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.globl .BnnMultiplyDigit # BnnMultiplyDigit(pp, pl, mm, ml, d)
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.set PP,CA1; .set PL,CA2; .set MM,CA3; .set ML,CA4; .set D,CA5
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.set LOW,X1; .set HIGHT,X2; .set OHIGHT,X3
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.BnnMultiplyDigit:
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cmpi 0,D,0 # if(d == 0) return(0);
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beq BMD7
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BMD1: cmpi 0,D,1 # if(d != 1) goto BMD2;
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bne BMD2
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lil CA5,0 # return(BnnAdd(pp, pl, mm, ml, 0));
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b .BnnAdd
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BMD2: sf PL,ML,PL # pl -= ml;
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ai MM,MM,-4 # mm--;
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ai PP,PP,-4 # pp--;
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cmpi 0,ML,0 # if(ml == 0) return(0);
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beq BMD7
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mtctr ML # ctr = ml;
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lil OHIGHT,0 # OldHight = 0;
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cmpi 0,D,0 # if(D < 0) goto BMD8;
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blt BMD8
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BMD3: lu LOW,4(MM) # Low = mm[1];
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mul HIGHT,LOW,D # Hight:MQ = Low*d
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cmpi 0,LOW,0 # if(Low>=0) pas de correction.
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bge BMD4
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a HIGHT,HIGHT,D # Correction multiplication signe'.
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BMD4: mfmq LOW # Low = MQ;
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a LOW,LOW,OHIGHT # Low += OldHight;
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aze HIGHT,HIGHT # Hight += carry;
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l OHIGHT,4(PP) # *++pp += Low;
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a LOW,LOW,OHIGHT
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stu LOW,4(PP)
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aze OHIGHT,HIGHT # OldHight = Hight + carry;
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bdn BMD3 # if(--ctr > 0) goto BMD3;
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BMD40: l LOW,4(PP) # *(++pp) += OldHight;
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a LOW,LOW,OHIGHT
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stu LOW,4(PP)
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lil LOW,0 # if(carry == 0) return(0);
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aze. LOW,LOW
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beq BMD7
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si. PL,PL,1 # pl--;
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ble BMD6 # if(pl <= 0) return(1);
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mtctr PL # ctr = pl;
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BMD5: l X1,4(PP) # X = pp[1];
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ai. X1,X1,1 # X++;
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stu X1,4(PP) # *(++pp) = X;
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bne BMD7 # if(X != 0) return(0);
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bdn BMD5 # if(--ctr > 0) goto BMD5;
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BMD6: lil RES,1 # return(1);
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br
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BMD7: lil RES,0 # return(0);
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br
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BMD8: lu LOW,4(MM) # Low = mm[1];
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mul HIGHT,LOW,D # Hight:MQ = Low*d
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a HIGHT,HIGHT,LOW # Correction pour d<0...
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cmpi 0,LOW,0 # if(Low>=0) pas de correction.
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bge BMD9
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a HIGHT,HIGHT,D # Correction multiplication signe'.
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BMD9: mfmq LOW # Low = MQ;
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a LOW,LOW,OHIGHT # Low += OldHight;
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aze HIGHT,HIGHT # Hight += carry;
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||
|
l OHIGHT,4(PP) # *pp += Low;
|
||
|
a LOW,LOW,OHIGHT
|
||
|
stu LOW,4(PP)
|
||
|
aze OHIGHT,HIGHT # OldHight = Hight + carry;
|
||
|
bdn BMD8 # if(--ctr > 0) goto BMD8;
|
||
|
b BMD40 # goto BMD40;
|
||
|
|
||
|
.globl .BnnDivideDigit # BnnDivideDigit(qq, nn, nl, d)
|
||
|
.set QQ,CA1; .set NN,CA2; .set NL,CA3; .set DD,CA4
|
||
|
.set SQQ,X1; .set R,CA1; .set Q,X2; .set NLOW,X2; .set DQ,X3
|
||
|
.set BITS,X4; .set AUX,CA3
|
||
|
.BnnDivideDigit:
|
||
|
sli X1,NL,2
|
||
|
a NN,NN,X1 # nn = &nn[nl];
|
||
|
a SQQ,QQ,X1 # qq = &qq[nl];
|
||
|
si SQQ,SQQ,4 # qq--;
|
||
|
lu R,-4(NN) # R = *(--nn);
|
||
|
si. NL,NL,1 # nl--;
|
||
|
bler # if(nl <= 0) return(R);
|
||
|
mtctr NL # ctr = nl;
|
||
|
sri DQ,DD,1 # D'= D / 2;
|
||
|
cmpi 0,DD,0 # if(D<0) goto BDDinf;
|
||
|
blt BDDinf
|
||
|
# D > 0
|
||
|
BDDsup: lu NLOW,-4(NN) # Low = *(--nn);
|
||
|
cmpl 0,R,DQ # if (R < D') goto BDDsupinf;
|
||
|
blt BDDsupinf
|
||
|
andil. BITS,NLOW,1 # bits = Low & 1;
|
||
|
sri NLOW,NLOW,1 # Low >>= 1;
|
||
|
andil. AUX,R,1 # aux = R & 1;
|
||
|
sri R,R,1 # R >>= 1;
|
||
|
sli AUX,AUX,31 # Low |= aux << 31;
|
||
|
or NLOW,NLOW,AUX
|
||
|
mtmq NLOW # MQ = Low;
|
||
|
div Q,R,DD # Q=R:MQ/D; MQ=R:MQ%D;
|
||
|
mfmq R # R=MQ;
|
||
|
sli R,R,1 # R <<= 1;
|
||
|
sli Q,Q,1 # Q <<= 1;
|
||
|
a R,R,BITS # R+=bits;
|
||
|
cmpl 0,R,DD # si R<D => ok
|
||
|
blt BDDsup1
|
||
|
ai Q,Q,1 # Q++;
|
||
|
sf R,DD,R # R-=D;
|
||
|
BDDsup1: stu Q,-4(SQQ) # *(--qq)=Q;
|
||
|
bdn BDDsup # if(--ctr > 0) goto BDDsup;
|
||
|
br # return(R);
|
||
|
BDDsupinf: mtmq NLOW # MQ = XL;
|
||
|
div Q,R,DD # Q=R:MQ/D; MQ=R:MQ%D;
|
||
|
mfmq R # R=MQ;
|
||
|
stu Q,-4(SQQ) # *(--qq)=Q;
|
||
|
bdn BDDsup # if(--ctr > 0) goto BDDsup;
|
||
|
br # return(R);
|
||
|
|
||
|
# D < 0
|
||
|
BDDinf: lu NLOW,-4(NN) # Low = *(--nn);
|
||
|
andil. BITS,NLOW,7 # bits = Low & 7;
|
||
|
sri NLOW,NLOW,3 # Low >>= 3;
|
||
|
andil. AUX,R,7 # aux = R & 7;
|
||
|
sri R,R,3 # R >>= 3;
|
||
|
sli AUX,AUX,29 # Low |= aux << 29;
|
||
|
or NLOW,NLOW,AUX
|
||
|
mtmq NLOW # MQ = Low;
|
||
|
div Q,R,DQ # Q=R:MQ/D'; MQ=R:MQ%D';
|
||
|
mfmq R # R=MQ
|
||
|
sli R,R,1 # R *= 2;
|
||
|
andil. AUX,DD,1 # if((D & 1) == 0) rien a retrancher;
|
||
|
cmpli 0,AUX,0
|
||
|
beq BDDi4
|
||
|
# R <- R - Q
|
||
|
cmpl 0,R,Q # On teste avant de faire la diff.
|
||
|
blt BDDi3 # la diff est < 0
|
||
|
sf R,Q,R # la diff est > 0
|
||
|
b BDDi4
|
||
|
BDDi3: sf R,Q,R # On met a` jour
|
||
|
si Q,Q,1 # Q--;
|
||
|
a R,R,DD # R += D;
|
||
|
# R <- 2R; Q <- 2Q;
|
||
|
BDDi4: cmpl 0,R,DQ # On teste avant de faire la mult.
|
||
|
blt BDDi41 # Ca va passer..
|
||
|
bne BDDi40 # Ca va casser...
|
||
|
cmpli 0,AUX,0 # d0 = 1 ca passe...
|
||
|
bne BDDi41
|
||
|
BDDi40: sli Q,Q,1 # Q *= 2;
|
||
|
sli R,R,1 # R *= 2;
|
||
|
ai Q,Q,1 # Q++;
|
||
|
sf R,DD,R # R -= D;
|
||
|
b BDDi5
|
||
|
BDDi41: sli Q,Q,1 # Q *= 2;
|
||
|
sli R,R,1 # R *= 2;
|
||
|
# R <- 2R; Q <- 2Q;
|
||
|
BDDi5: cmpl 0,R,DQ # On teste avant de faire la mult.
|
||
|
blt BDDi51 # Ca va passer..
|
||
|
bne BDDi50 # Ca va casser...
|
||
|
cmpli 0,AUX,0 # d0 = 1 ca passe...
|
||
|
bne BDDi51
|
||
|
BDDi50: sli Q,Q,1 # Q *= 2;
|
||
|
sli R,R,1 # R *= 2;
|
||
|
ai Q,Q,1 # Q++;
|
||
|
sf R,DD,R # R -= D;
|
||
|
b BDDi6
|
||
|
BDDi51: sli Q,Q,1 # Q *= 2;
|
||
|
sli R,R,1 # R *= 2;
|
||
|
# R += bits;
|
||
|
BDDi6: sf AUX,BITS,DD # pour tester sans de'bordement..
|
||
|
cmpl 0,R,AUX
|
||
|
blt BDDi61 # Ca va passer..
|
||
|
ai Q,Q,1 # Q++;
|
||
|
sf R,DD,R # R -= D;
|
||
|
BDDi61: a R,R,BITS # R += bits;
|
||
|
stu Q,-4(SQQ) # *(--qq)=Q;
|
||
|
bdn BDDinf # if(--ctr > 0) goto BDDinf;
|
||
|
br
|