| // 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); |
| } |