162306a36Sopenharmony_ci// SPDX-License-Identifier: GPL-2.0-or-later 262306a36Sopenharmony_ci/* 362306a36Sopenharmony_ci * Linux/PA-RISC Project (http://www.parisc-linux.org/) 462306a36Sopenharmony_ci * 562306a36Sopenharmony_ci * Floating-point emulation code 662306a36Sopenharmony_ci * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> 762306a36Sopenharmony_ci */ 862306a36Sopenharmony_ci/* 962306a36Sopenharmony_ci * BEGIN_DESC 1062306a36Sopenharmony_ci * 1162306a36Sopenharmony_ci * File: 1262306a36Sopenharmony_ci * @(#) pa/spmath/dfrem.c $Revision: 1.1 $ 1362306a36Sopenharmony_ci * 1462306a36Sopenharmony_ci * Purpose: 1562306a36Sopenharmony_ci * Double Precision Floating-point Remainder 1662306a36Sopenharmony_ci * 1762306a36Sopenharmony_ci * External Interfaces: 1862306a36Sopenharmony_ci * dbl_frem(srcptr1,srcptr2,dstptr,status) 1962306a36Sopenharmony_ci * 2062306a36Sopenharmony_ci * Internal Interfaces: 2162306a36Sopenharmony_ci * 2262306a36Sopenharmony_ci * Theory: 2362306a36Sopenharmony_ci * <<please update with a overview of the operation of this file>> 2462306a36Sopenharmony_ci * 2562306a36Sopenharmony_ci * END_DESC 2662306a36Sopenharmony_ci*/ 2762306a36Sopenharmony_ci 2862306a36Sopenharmony_ci 2962306a36Sopenharmony_ci 3062306a36Sopenharmony_ci#include "float.h" 3162306a36Sopenharmony_ci#include "dbl_float.h" 3262306a36Sopenharmony_ci 3362306a36Sopenharmony_ci/* 3462306a36Sopenharmony_ci * Double Precision Floating-point Remainder 3562306a36Sopenharmony_ci */ 3662306a36Sopenharmony_ci 3762306a36Sopenharmony_ciint 3862306a36Sopenharmony_cidbl_frem (dbl_floating_point * srcptr1, dbl_floating_point * srcptr2, 3962306a36Sopenharmony_ci dbl_floating_point * dstptr, unsigned int *status) 4062306a36Sopenharmony_ci{ 4162306a36Sopenharmony_ci register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2; 4262306a36Sopenharmony_ci register unsigned int resultp1, resultp2; 4362306a36Sopenharmony_ci register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount; 4462306a36Sopenharmony_ci register boolean roundup = FALSE; 4562306a36Sopenharmony_ci 4662306a36Sopenharmony_ci Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2); 4762306a36Sopenharmony_ci Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2); 4862306a36Sopenharmony_ci /* 4962306a36Sopenharmony_ci * check first operand for NaN's or infinity 5062306a36Sopenharmony_ci */ 5162306a36Sopenharmony_ci if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) { 5262306a36Sopenharmony_ci if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { 5362306a36Sopenharmony_ci if (Dbl_isnotnan(opnd2p1,opnd2p2)) { 5462306a36Sopenharmony_ci /* invalid since first operand is infinity */ 5562306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 5662306a36Sopenharmony_ci return(INVALIDEXCEPTION); 5762306a36Sopenharmony_ci Set_invalidflag(); 5862306a36Sopenharmony_ci Dbl_makequietnan(resultp1,resultp2); 5962306a36Sopenharmony_ci Dbl_copytoptr(resultp1,resultp2,dstptr); 6062306a36Sopenharmony_ci return(NOEXCEPTION); 6162306a36Sopenharmony_ci } 6262306a36Sopenharmony_ci } 6362306a36Sopenharmony_ci else { 6462306a36Sopenharmony_ci /* 6562306a36Sopenharmony_ci * is NaN; signaling or quiet? 6662306a36Sopenharmony_ci */ 6762306a36Sopenharmony_ci if (Dbl_isone_signaling(opnd1p1)) { 6862306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 6962306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 7062306a36Sopenharmony_ci return(INVALIDEXCEPTION); 7162306a36Sopenharmony_ci /* make NaN quiet */ 7262306a36Sopenharmony_ci Set_invalidflag(); 7362306a36Sopenharmony_ci Dbl_set_quiet(opnd1p1); 7462306a36Sopenharmony_ci } 7562306a36Sopenharmony_ci /* 7662306a36Sopenharmony_ci * is second operand a signaling NaN? 7762306a36Sopenharmony_ci */ 7862306a36Sopenharmony_ci else if (Dbl_is_signalingnan(opnd2p1)) { 7962306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 8062306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 8162306a36Sopenharmony_ci return(INVALIDEXCEPTION); 8262306a36Sopenharmony_ci /* make NaN quiet */ 8362306a36Sopenharmony_ci Set_invalidflag(); 8462306a36Sopenharmony_ci Dbl_set_quiet(opnd2p1); 8562306a36Sopenharmony_ci Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); 8662306a36Sopenharmony_ci return(NOEXCEPTION); 8762306a36Sopenharmony_ci } 8862306a36Sopenharmony_ci /* 8962306a36Sopenharmony_ci * return quiet NaN 9062306a36Sopenharmony_ci */ 9162306a36Sopenharmony_ci Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); 9262306a36Sopenharmony_ci return(NOEXCEPTION); 9362306a36Sopenharmony_ci } 9462306a36Sopenharmony_ci } 9562306a36Sopenharmony_ci /* 9662306a36Sopenharmony_ci * check second operand for NaN's or infinity 9762306a36Sopenharmony_ci */ 9862306a36Sopenharmony_ci if ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) { 9962306a36Sopenharmony_ci if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { 10062306a36Sopenharmony_ci /* 10162306a36Sopenharmony_ci * return first operand 10262306a36Sopenharmony_ci */ 10362306a36Sopenharmony_ci Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); 10462306a36Sopenharmony_ci return(NOEXCEPTION); 10562306a36Sopenharmony_ci } 10662306a36Sopenharmony_ci /* 10762306a36Sopenharmony_ci * is NaN; signaling or quiet? 10862306a36Sopenharmony_ci */ 10962306a36Sopenharmony_ci if (Dbl_isone_signaling(opnd2p1)) { 11062306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 11162306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); 11262306a36Sopenharmony_ci /* make NaN quiet */ 11362306a36Sopenharmony_ci Set_invalidflag(); 11462306a36Sopenharmony_ci Dbl_set_quiet(opnd2p1); 11562306a36Sopenharmony_ci } 11662306a36Sopenharmony_ci /* 11762306a36Sopenharmony_ci * return quiet NaN 11862306a36Sopenharmony_ci */ 11962306a36Sopenharmony_ci Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); 12062306a36Sopenharmony_ci return(NOEXCEPTION); 12162306a36Sopenharmony_ci } 12262306a36Sopenharmony_ci /* 12362306a36Sopenharmony_ci * check second operand for zero 12462306a36Sopenharmony_ci */ 12562306a36Sopenharmony_ci if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { 12662306a36Sopenharmony_ci /* invalid since second operand is zero */ 12762306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); 12862306a36Sopenharmony_ci Set_invalidflag(); 12962306a36Sopenharmony_ci Dbl_makequietnan(resultp1,resultp2); 13062306a36Sopenharmony_ci Dbl_copytoptr(resultp1,resultp2,dstptr); 13162306a36Sopenharmony_ci return(NOEXCEPTION); 13262306a36Sopenharmony_ci } 13362306a36Sopenharmony_ci 13462306a36Sopenharmony_ci /* 13562306a36Sopenharmony_ci * get sign of result 13662306a36Sopenharmony_ci */ 13762306a36Sopenharmony_ci resultp1 = opnd1p1; 13862306a36Sopenharmony_ci 13962306a36Sopenharmony_ci /* 14062306a36Sopenharmony_ci * check for denormalized operands 14162306a36Sopenharmony_ci */ 14262306a36Sopenharmony_ci if (opnd1_exponent == 0) { 14362306a36Sopenharmony_ci /* check for zero */ 14462306a36Sopenharmony_ci if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { 14562306a36Sopenharmony_ci Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); 14662306a36Sopenharmony_ci return(NOEXCEPTION); 14762306a36Sopenharmony_ci } 14862306a36Sopenharmony_ci /* normalize, then continue */ 14962306a36Sopenharmony_ci opnd1_exponent = 1; 15062306a36Sopenharmony_ci Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent); 15162306a36Sopenharmony_ci } 15262306a36Sopenharmony_ci else { 15362306a36Sopenharmony_ci Dbl_clear_signexponent_set_hidden(opnd1p1); 15462306a36Sopenharmony_ci } 15562306a36Sopenharmony_ci if (opnd2_exponent == 0) { 15662306a36Sopenharmony_ci /* normalize, then continue */ 15762306a36Sopenharmony_ci opnd2_exponent = 1; 15862306a36Sopenharmony_ci Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent); 15962306a36Sopenharmony_ci } 16062306a36Sopenharmony_ci else { 16162306a36Sopenharmony_ci Dbl_clear_signexponent_set_hidden(opnd2p1); 16262306a36Sopenharmony_ci } 16362306a36Sopenharmony_ci 16462306a36Sopenharmony_ci /* find result exponent and divide step loop count */ 16562306a36Sopenharmony_ci dest_exponent = opnd2_exponent - 1; 16662306a36Sopenharmony_ci stepcount = opnd1_exponent - opnd2_exponent; 16762306a36Sopenharmony_ci 16862306a36Sopenharmony_ci /* 16962306a36Sopenharmony_ci * check for opnd1/opnd2 < 1 17062306a36Sopenharmony_ci */ 17162306a36Sopenharmony_ci if (stepcount < 0) { 17262306a36Sopenharmony_ci /* 17362306a36Sopenharmony_ci * check for opnd1/opnd2 > 1/2 17462306a36Sopenharmony_ci * 17562306a36Sopenharmony_ci * In this case n will round to 1, so 17662306a36Sopenharmony_ci * r = opnd1 - opnd2 17762306a36Sopenharmony_ci */ 17862306a36Sopenharmony_ci if (stepcount == -1 && 17962306a36Sopenharmony_ci Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { 18062306a36Sopenharmony_ci /* set sign */ 18162306a36Sopenharmony_ci Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1); 18262306a36Sopenharmony_ci /* align opnd2 with opnd1 */ 18362306a36Sopenharmony_ci Dbl_leftshiftby1(opnd2p1,opnd2p2); 18462306a36Sopenharmony_ci Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2, 18562306a36Sopenharmony_ci opnd2p1,opnd2p2); 18662306a36Sopenharmony_ci /* now normalize */ 18762306a36Sopenharmony_ci while (Dbl_iszero_hidden(opnd2p1)) { 18862306a36Sopenharmony_ci Dbl_leftshiftby1(opnd2p1,opnd2p2); 18962306a36Sopenharmony_ci dest_exponent--; 19062306a36Sopenharmony_ci } 19162306a36Sopenharmony_ci Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2); 19262306a36Sopenharmony_ci goto testforunderflow; 19362306a36Sopenharmony_ci } 19462306a36Sopenharmony_ci /* 19562306a36Sopenharmony_ci * opnd1/opnd2 <= 1/2 19662306a36Sopenharmony_ci * 19762306a36Sopenharmony_ci * In this case n will round to zero, so 19862306a36Sopenharmony_ci * r = opnd1 19962306a36Sopenharmony_ci */ 20062306a36Sopenharmony_ci Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2); 20162306a36Sopenharmony_ci dest_exponent = opnd1_exponent; 20262306a36Sopenharmony_ci goto testforunderflow; 20362306a36Sopenharmony_ci } 20462306a36Sopenharmony_ci 20562306a36Sopenharmony_ci /* 20662306a36Sopenharmony_ci * Generate result 20762306a36Sopenharmony_ci * 20862306a36Sopenharmony_ci * Do iterative subtract until remainder is less than operand 2. 20962306a36Sopenharmony_ci */ 21062306a36Sopenharmony_ci while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) { 21162306a36Sopenharmony_ci if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { 21262306a36Sopenharmony_ci Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2); 21362306a36Sopenharmony_ci } 21462306a36Sopenharmony_ci Dbl_leftshiftby1(opnd1p1,opnd1p2); 21562306a36Sopenharmony_ci } 21662306a36Sopenharmony_ci /* 21762306a36Sopenharmony_ci * Do last subtract, then determine which way to round if remainder 21862306a36Sopenharmony_ci * is exactly 1/2 of opnd2 21962306a36Sopenharmony_ci */ 22062306a36Sopenharmony_ci if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { 22162306a36Sopenharmony_ci Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2); 22262306a36Sopenharmony_ci roundup = TRUE; 22362306a36Sopenharmony_ci } 22462306a36Sopenharmony_ci if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) { 22562306a36Sopenharmony_ci /* division is exact, remainder is zero */ 22662306a36Sopenharmony_ci Dbl_setzero_exponentmantissa(resultp1,resultp2); 22762306a36Sopenharmony_ci Dbl_copytoptr(resultp1,resultp2,dstptr); 22862306a36Sopenharmony_ci return(NOEXCEPTION); 22962306a36Sopenharmony_ci } 23062306a36Sopenharmony_ci 23162306a36Sopenharmony_ci /* 23262306a36Sopenharmony_ci * Check for cases where opnd1/opnd2 < n 23362306a36Sopenharmony_ci * 23462306a36Sopenharmony_ci * In this case the result's sign will be opposite that of 23562306a36Sopenharmony_ci * opnd1. The mantissa also needs some correction. 23662306a36Sopenharmony_ci */ 23762306a36Sopenharmony_ci Dbl_leftshiftby1(opnd1p1,opnd1p2); 23862306a36Sopenharmony_ci if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) { 23962306a36Sopenharmony_ci Dbl_invert_sign(resultp1); 24062306a36Sopenharmony_ci Dbl_leftshiftby1(opnd2p1,opnd2p2); 24162306a36Sopenharmony_ci Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2); 24262306a36Sopenharmony_ci } 24362306a36Sopenharmony_ci /* check for remainder being exactly 1/2 of opnd2 */ 24462306a36Sopenharmony_ci else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) { 24562306a36Sopenharmony_ci Dbl_invert_sign(resultp1); 24662306a36Sopenharmony_ci } 24762306a36Sopenharmony_ci 24862306a36Sopenharmony_ci /* normalize result's mantissa */ 24962306a36Sopenharmony_ci while (Dbl_iszero_hidden(opnd1p1)) { 25062306a36Sopenharmony_ci dest_exponent--; 25162306a36Sopenharmony_ci Dbl_leftshiftby1(opnd1p1,opnd1p2); 25262306a36Sopenharmony_ci } 25362306a36Sopenharmony_ci Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2); 25462306a36Sopenharmony_ci 25562306a36Sopenharmony_ci /* 25662306a36Sopenharmony_ci * Test for underflow 25762306a36Sopenharmony_ci */ 25862306a36Sopenharmony_ci testforunderflow: 25962306a36Sopenharmony_ci if (dest_exponent <= 0) { 26062306a36Sopenharmony_ci /* trap if UNDERFLOWTRAP enabled */ 26162306a36Sopenharmony_ci if (Is_underflowtrap_enabled()) { 26262306a36Sopenharmony_ci /* 26362306a36Sopenharmony_ci * Adjust bias of result 26462306a36Sopenharmony_ci */ 26562306a36Sopenharmony_ci Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl); 26662306a36Sopenharmony_ci /* frem is always exact */ 26762306a36Sopenharmony_ci Dbl_copytoptr(resultp1,resultp2,dstptr); 26862306a36Sopenharmony_ci return(UNDERFLOWEXCEPTION); 26962306a36Sopenharmony_ci } 27062306a36Sopenharmony_ci /* 27162306a36Sopenharmony_ci * denormalize result or set to signed zero 27262306a36Sopenharmony_ci */ 27362306a36Sopenharmony_ci if (dest_exponent >= (1 - DBL_P)) { 27462306a36Sopenharmony_ci Dbl_rightshift_exponentmantissa(resultp1,resultp2, 27562306a36Sopenharmony_ci 1-dest_exponent); 27662306a36Sopenharmony_ci } 27762306a36Sopenharmony_ci else { 27862306a36Sopenharmony_ci Dbl_setzero_exponentmantissa(resultp1,resultp2); 27962306a36Sopenharmony_ci } 28062306a36Sopenharmony_ci } 28162306a36Sopenharmony_ci else Dbl_set_exponent(resultp1,dest_exponent); 28262306a36Sopenharmony_ci Dbl_copytoptr(resultp1,resultp2,dstptr); 28362306a36Sopenharmony_ci return(NOEXCEPTION); 28462306a36Sopenharmony_ci} 285