📄 dbl_float.h
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#define Dbl_setinfinity(dbl_valueA,dbl_valueB,sign) \ Dallp1(dbl_valueA) = ((unsigned int)sign << 31) | \ (DBL_INFINITY_EXPONENT << (32-(1+DBL_EXP_LENGTH))); \ Dmantissap2(dbl_valueB) = 0#define Dbl_sethigh4bits(dbl_value, extsign) Deposit_dhigh4p1(dbl_value,extsign)#define Dbl_set_sign(dbl_value,sign) Deposit_dsign(dbl_value,sign)#define Dbl_invert_sign(dbl_value) Deposit_dsign(dbl_value,~Dsign(dbl_value))#define Dbl_setone_sign(dbl_value) Deposit_dsign(dbl_value,1)#define Dbl_setone_lowmantissap2(dbl_value) Deposit_dlowp2(dbl_value,1)#define Dbl_setzero_sign(dbl_value) Dallp1(dbl_value) &= 0x7fffffff#define Dbl_setzero_exponent(dbl_value) \ Dallp1(dbl_value) &= 0x800fffff#define Dbl_setzero_mantissa(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) &= 0xfff00000; \ Dallp2(dbl_valueB) = 0#define Dbl_setzero_mantissap1(dbl_value) Dallp1(dbl_value) &= 0xfff00000#define Dbl_setzero_mantissap2(dbl_value) Dallp2(dbl_value) = 0#define Dbl_setzero_exponentmantissa(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) &= 0x80000000; \ Dallp2(dbl_valueB) = 0#define Dbl_setzero_exponentmantissap1(dbl_valueA) \ Dallp1(dbl_valueA) &= 0x80000000#define Dbl_setzero(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) = 0; Dallp2(dbl_valueB) = 0#define Dbl_setzerop1(dbl_value) Dallp1(dbl_value) = 0#define Dbl_setzerop2(dbl_value) Dallp2(dbl_value) = 0#define Dbl_setnegativezero(dbl_value) \ Dallp1(dbl_value) = (unsigned int)1 << 31; Dallp2(dbl_value) = 0#define Dbl_setnegativezerop1(dbl_value) Dallp1(dbl_value) = (unsigned int)1<<31/* Use the following macro for both overflow & underflow conditions */#define ovfl -#define unfl +#define Dbl_setwrapped_exponent(dbl_value,exponent,op) \ Deposit_dexponent(dbl_value,(exponent op DBL_WRAP))#define Dbl_setlargestpositive(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ); \ Dallp2(dbl_valueB) = 0xFFFFFFFF#define Dbl_setlargestnegative(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) = ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ) \ | ((unsigned int)1<<31); \ Dallp2(dbl_valueB) = 0xFFFFFFFF#define Dbl_setlargest_exponentmantissa(dbl_valueA,dbl_valueB) \ Deposit_dexponentmantissap1(dbl_valueA, \ (((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) \ | ((1<<(32-(1+DBL_EXP_LENGTH))) - 1 ))); \ Dallp2(dbl_valueB) = 0xFFFFFFFF#define Dbl_setnegativeinfinity(dbl_valueA,dbl_valueB) \ Dallp1(dbl_valueA) = ((1<<DBL_EXP_LENGTH) | DBL_INFINITY_EXPONENT) \ << (32-(1+DBL_EXP_LENGTH)) ; \ Dallp2(dbl_valueB) = 0#define Dbl_setlargest(dbl_valueA,dbl_valueB,sign) \ Dallp1(dbl_valueA) = ((unsigned int)sign << 31) | \ ((DBL_EMAX+DBL_BIAS) << (32-(1+DBL_EXP_LENGTH))) | \ ((1 << (32-(1+DBL_EXP_LENGTH))) - 1 ); \ Dallp2(dbl_valueB) = 0xFFFFFFFF /* The high bit is always zero so arithmetic or logical shifts will work. */#define Dbl_right_align(srcdstA,srcdstB,shift,extent) \ if( shift >= 32 ) \ { \ /* Big shift requires examining the portion shift off \ the end to properly set inexact. */ \ if(shift < 64) \ { \ if(shift > 32) \ { \ Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB), \ shift-32, Extall(extent)); \ if(Dallp2(srcdstB) << 64 - (shift)) Ext_setone_low(extent); \ } \ else Extall(extent) = Dallp2(srcdstB); \ Dallp2(srcdstB) = Dallp1(srcdstA) >> (shift - 32); \ } \ else \ { \ Extall(extent) = Dallp1(srcdstA); \ if(Dallp2(srcdstB)) Ext_setone_low(extent); \ Dallp2(srcdstB) = 0; \ } \ Dallp1(srcdstA) = 0; \ } \ else \ { \ /* Small alignment is simpler. Extension is easily set. */ \ if (shift > 0) \ { \ Extall(extent) = Dallp2(srcdstB) << 32 - (shift); \ Variable_shift_double(Dallp1(srcdstA),Dallp2(srcdstB),shift, \ Dallp2(srcdstB)); \ Dallp1(srcdstA) >>= shift; \ } \ else Extall(extent) = 0; \ }/* * Here we need to shift the result right to correct for an overshift * (due to the exponent becoming negative) during normalization. */#define Dbl_fix_overshift(srcdstA,srcdstB,shift,extent) \ Extall(extent) = Dallp2(srcdstB) << 32 - (shift); \ Dallp2(srcdstB) = (Dallp1(srcdstA) << 32 - (shift)) | \ (Dallp2(srcdstB) >> (shift)); \ Dallp1(srcdstA) = Dallp1(srcdstA) >> shift#define Dbl_hiddenhigh3mantissa(dbl_value) Dhiddenhigh3mantissa(dbl_value)#define Dbl_hidden(dbl_value) Dhidden(dbl_value)#define Dbl_lowmantissap2(dbl_value) Dlowp2(dbl_value)/* The left argument is never smaller than the right argument */#define Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb) \ if( Dallp2(rightb) > Dallp2(leftb) ) Dallp1(lefta)--; \ Dallp2(resultb) = Dallp2(leftb) - Dallp2(rightb); \ Dallp1(resulta) = Dallp1(lefta) - Dallp1(righta)/* Subtract right augmented with extension from left augmented with zeros and * store into result and extension. */#define Dbl_subtract_withextension(lefta,leftb,righta,rightb,extent,resulta,resultb) \ Dbl_subtract(lefta,leftb,righta,rightb,resulta,resultb); \ if( (Extall(extent) = 0-Extall(extent)) ) \ { \ if((Dallp2(resultb)--) == 0) Dallp1(resulta)--; \ }#define Dbl_addition(lefta,leftb,righta,rightb,resulta,resultb) \ /* If the sum of the low words is less than either source, then \ * an overflow into the next word occurred. */ \ Dallp1(resulta) = Dallp1(lefta) + Dallp1(righta); \ if((Dallp2(resultb) = Dallp2(leftb) + Dallp2(rightb)) < Dallp2(rightb)) \ Dallp1(resulta)++#define Dbl_xortointp1(left,right,result) \ result = Dallp1(left) XOR Dallp1(right)#define Dbl_xorfromintp1(left,right,result) \ Dallp1(result) = left XOR Dallp1(right)#define Dbl_swap_lower(left,right) \ Dallp2(left) = Dallp2(left) XOR Dallp2(right); \ Dallp2(right) = Dallp2(left) XOR Dallp2(right); \ Dallp2(left) = Dallp2(left) XOR Dallp2(right)/* Need to Initialize */#define Dbl_makequietnan(desta,destb) \ Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ | (1<<(32-(1+DBL_EXP_LENGTH+2))); \ Dallp2(destb) = 0#define Dbl_makesignalingnan(desta,destb) \ Dallp1(desta) = ((DBL_EMAX+DBL_BIAS)+1)<< (32-(1+DBL_EXP_LENGTH)) \ | (1<<(32-(1+DBL_EXP_LENGTH+1))); \ Dallp2(destb) = 0#define Dbl_normalize(dbl_opndA,dbl_opndB,exponent) \ while(Dbl_iszero_hiddenhigh7mantissa(dbl_opndA)) { \ Dbl_leftshiftby8(dbl_opndA,dbl_opndB); \ exponent -= 8; \ } \ if(Dbl_iszero_hiddenhigh3mantissa(dbl_opndA)) { \ Dbl_leftshiftby4(dbl_opndA,dbl_opndB); \ exponent -= 4; \ } \ while(Dbl_iszero_hidden(dbl_opndA)) { \ Dbl_leftshiftby1(dbl_opndA,dbl_opndB); \ exponent -= 1; \ }#define Twoword_add(src1dstA,src1dstB,src2A,src2B) \ /* \ * want this macro to generate: \ * ADD src1dstB,src2B,src1dstB; \ * ADDC src1dstA,src2A,src1dstA; \ */ \ if ((src1dstB) + (src2B) < (src1dstB)) Dallp1(src1dstA)++; \ Dallp1(src1dstA) += (src2A); \ Dallp2(src1dstB) += (src2B)#define Twoword_subtract(src1dstA,src1dstB,src2A,src2B) \ /* \ * want this macro to generate: \ * SUB src1dstB,src2B,src1dstB; \ * SUBB src1dstA,src2A,src1dstA; \ */ \ if ((src1dstB) < (src2B)) Dallp1(src1dstA)--; \ Dallp1(src1dstA) -= (src2A); \ Dallp2(src1dstB) -= (src2B)#define Dbl_setoverflow(resultA,resultB) \ /* set result to infinity or largest number */ \ switch (Rounding_mode()) { \ case ROUNDPLUS: \ if (Dbl_isone_sign(resultA)) { \ Dbl_setlargestnegative(resultA,resultB); \ } \ else { \ Dbl_setinfinitypositive(resultA,resultB); \ } \ break; \ case ROUNDMINUS: \ if (Dbl_iszero_sign(resultA)) { \ Dbl_setlargestpositive(resultA,resultB); \ } \ else { \ Dbl_setinfinitynegative(resultA,resultB); \ } \ break; \ case ROUNDNEAREST: \ Dbl_setinfinity_exponentmantissa(resultA,resultB); \ break; \ case ROUNDZERO: \ Dbl_setlargest_exponentmantissa(resultA,resultB); \ }#define Dbl_denormalize(opndp1,opndp2,exponent,guard,sticky,inexact) \ Dbl_clear_signexponent_set_hidden(opndp1); \ if (exponent >= (1-DBL_P)) { \ if (exponent >= -31) { \ guard = (Dallp2(opndp2) >> -exponent) & 1; \ if (exponent < 0) sticky |= Dallp2(opndp2) << (32+exponent); \ if (exponent > -31) { \ Variable_shift_double(opndp1,opndp2,1-exponent,opndp2); \ Dallp1(opndp1) >>= 1-exponent; \ } \ else { \ Dallp2(opndp2) = Dallp1(opndp1); \ Dbl_setzerop1(opndp1); \ } \ } \ else { \ guard = (Dallp1(opndp1) >> -32-exponent) & 1; \ if (exponent == -32) sticky |= Dallp2(opndp2); \ else sticky |= (Dallp2(opndp2) | Dallp1(opndp1) << 64+exponent); \ Dallp2(opndp2) = Dallp1(opndp1) >> -31-exponent; \ Dbl_setzerop1(opndp1); \ } \ inexact = guard | sticky; \ } \ else { \ guard = 0; \ sticky |= (Dallp1(opndp1) | Dallp2(opndp2)); \ Dbl_setzero(opndp1,opndp2); \ inexact = sticky; \ }/* * The fused multiply add instructions requires a double extended format, * with 106 bits of mantissa. */#define DBLEXT_THRESHOLD 106#define Dblext_setzero(valA,valB,valC,valD) \ Dextallp1(valA) = 0; Dextallp2(valB) = 0; \ Dextallp3(valC) = 0; Dextallp4(valD) = 0#define Dblext_isnotzero_mantissap3(valC) (Dextallp3(valC)!=0)#define Dblext_isnotzero_mantissap4(valD) (Dextallp3(valD)!=0)#define Dblext_isone_lowp2(val) (Dextlowp2(val)!=0)#define Dblext_isone_highp3(val) (Dexthighp3(val)!=0)#define Dblext_isnotzero_low31p3(val) (Dextlow31p3(val)!=0)#define Dblext_iszero(valA,valB,valC,valD) (Dextallp1(valA)==0 && \ Dextallp2(valB)==0 && Dextallp3(valC)==0 && Dextallp4(valD)==0)#define Dblext_copy(srca,srcb,srcc,srcd,desta,destb,destc,destd) \ Dextallp1(desta) = Dextallp4(srca); \ Dextallp2(destb) = Dextallp4(srcb); \ Dextallp3(destc) = Dextallp4(srcc); \ Dextallp4(destd) = Dextallp4(srcd)#define Dblext_swap_lower(leftp2,leftp3,leftp4,rightp2,rightp3,rightp4) \ Dextallp2(leftp2) = Dextallp2(leftp2) XOR Dextallp2(rightp2); \ Dextallp2(rightp2) = Dextallp2(leftp2) XOR Dextallp2(rightp2); \ Dextallp2(leftp2) = Dextallp2(leftp2) XOR Dextallp2(rightp2); \ Dextallp3(leftp3) = Dextallp3(leftp3) XOR Dextallp3(rightp3); \ Dextallp3(rightp3) = Dextallp3(leftp3) XOR Dextallp3(rightp3); \ Dextallp3(leftp3) = Dextallp3(leftp3) XOR Dextallp3(rightp3); \ Dextallp4(leftp4) = Dextallp4(leftp4) XOR Dextallp4(rightp4); \ Dextallp4(rightp4) = Dextallp4(leftp4) XOR Dextallp4(rightp4); \
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