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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 | // SPDX-License-Identifier: GPL-2.0-or-later /* * Linux/PA-RISC Project (http://www.parisc-linux.org/) * * Floating-point emulation code * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> */ /* * BEGIN_DESC * * File: * @(#) pa/spmath/dfsqrt.c $Revision: 1.1 $ * * Purpose: * Double Floating-point Square Root * * External Interfaces: * dbl_fsqrt(srcptr,_nullptr,dstptr,status) * * Internal Interfaces: * * Theory: * <<please update with a overview of the operation of this file>> * * END_DESC */ #include "float.h" #include "dbl_float.h" /* * Double Floating-point Square Root */ /*ARGSUSED*/ unsigned int dbl_fsqrt( dbl_floating_point *srcptr, unsigned int *_nullptr, dbl_floating_point *dstptr, unsigned int *status) { register unsigned int srcp1, srcp2, resultp1, resultp2; register unsigned int newbitp1, newbitp2, sump1, sump2; register int src_exponent; register boolean guardbit = FALSE, even_exponent; Dbl_copyfromptr(srcptr,srcp1,srcp2); /* * check source operand for NaN or infinity */ if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) { /* * is signaling NaN? */ if (Dbl_isone_signaling(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(srcp1); } /* * Return quiet NaN or positive infinity. * Fall through to negative test if negative infinity. */ if (Dbl_iszero_sign(srcp1) || Dbl_isnotzero_mantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } } /* * check for zero source operand */ if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * check for negative source operand */ if (Dbl_isone_sign(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_makequietnan(srcp1,srcp2); Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * Generate result */ if (src_exponent > 0) { even_exponent = Dbl_hidden(srcp1); Dbl_clear_signexponent_set_hidden(srcp1); } else { /* normalize operand */ Dbl_clear_signexponent(srcp1); src_exponent++; Dbl_normalize(srcp1,srcp2,src_exponent); even_exponent = src_exponent & 1; } if (even_exponent) { /* exponent is even */ /* Add comment here. Explain why odd exponent needs correction */ Dbl_leftshiftby1(srcp1,srcp2); } /* * Add comment here. Explain following algorithm. * * Trust me, it works. * */ Dbl_setzero(resultp1,resultp2); Dbl_allp1(newbitp1) = 1 << (DBL_P - 32); Dbl_setzero_mantissap2(newbitp2); while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) { Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2); if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) { Dbl_leftshiftby1(newbitp1,newbitp2); /* update result */ Dbl_addition(resultp1,resultp2,newbitp1,newbitp2, resultp1,resultp2); Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2); Dbl_rightshiftby2(newbitp1,newbitp2); } else { Dbl_rightshiftby1(newbitp1,newbitp2); } Dbl_leftshiftby1(srcp1,srcp2); } /* correct exponent for pre-shift */ if (even_exponent) { Dbl_rightshiftby1(resultp1,resultp2); } /* check for inexact */ if (Dbl_isnotzero(srcp1,srcp2)) { if (!even_exponent && Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) { Dbl_increment(resultp1,resultp2); } guardbit = Dbl_lowmantissap2(resultp2); Dbl_rightshiftby1(resultp1,resultp2); /* now round result */ switch (Rounding_mode()) { case ROUNDPLUS: Dbl_increment(resultp1,resultp2); break; case ROUNDNEAREST: /* stickybit is always true, so guardbit * is enough to determine rounding */ if (guardbit) { Dbl_increment(resultp1,resultp2); } break; } /* increment result exponent by 1 if mantissa overflowed */ if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2; if (Is_inexacttrap_enabled()) { Dbl_set_exponent(resultp1, ((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(INEXACTEXCEPTION); } else Set_inexactflag(); } else { Dbl_rightshiftby1(resultp1,resultp2); } Dbl_set_exponent(resultp1,((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); } |