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/sfrem.c $Revision: 1.1 $ 1362306a36Sopenharmony_ci * 1462306a36Sopenharmony_ci * Purpose: 1562306a36Sopenharmony_ci * Single Precision Floating-point Remainder 1662306a36Sopenharmony_ci * 1762306a36Sopenharmony_ci * External Interfaces: 1862306a36Sopenharmony_ci * sgl_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 "sgl_float.h" 3262306a36Sopenharmony_ci 3362306a36Sopenharmony_ci/* 3462306a36Sopenharmony_ci * Single Precision Floating-point Remainder 3562306a36Sopenharmony_ci */ 3662306a36Sopenharmony_ci 3762306a36Sopenharmony_ciint 3862306a36Sopenharmony_cisgl_frem (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2, 3962306a36Sopenharmony_ci sgl_floating_point * dstptr, unsigned int *status) 4062306a36Sopenharmony_ci{ 4162306a36Sopenharmony_ci register unsigned int opnd1, opnd2, result; 4262306a36Sopenharmony_ci register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount; 4362306a36Sopenharmony_ci register boolean roundup = FALSE; 4462306a36Sopenharmony_ci 4562306a36Sopenharmony_ci opnd1 = *srcptr1; 4662306a36Sopenharmony_ci opnd2 = *srcptr2; 4762306a36Sopenharmony_ci /* 4862306a36Sopenharmony_ci * check first operand for NaN's or infinity 4962306a36Sopenharmony_ci */ 5062306a36Sopenharmony_ci if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) { 5162306a36Sopenharmony_ci if (Sgl_iszero_mantissa(opnd1)) { 5262306a36Sopenharmony_ci if (Sgl_isnotnan(opnd2)) { 5362306a36Sopenharmony_ci /* invalid since first operand is infinity */ 5462306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 5562306a36Sopenharmony_ci return(INVALIDEXCEPTION); 5662306a36Sopenharmony_ci Set_invalidflag(); 5762306a36Sopenharmony_ci Sgl_makequietnan(result); 5862306a36Sopenharmony_ci *dstptr = result; 5962306a36Sopenharmony_ci return(NOEXCEPTION); 6062306a36Sopenharmony_ci } 6162306a36Sopenharmony_ci } 6262306a36Sopenharmony_ci else { 6362306a36Sopenharmony_ci /* 6462306a36Sopenharmony_ci * is NaN; signaling or quiet? 6562306a36Sopenharmony_ci */ 6662306a36Sopenharmony_ci if (Sgl_isone_signaling(opnd1)) { 6762306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 6862306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 6962306a36Sopenharmony_ci return(INVALIDEXCEPTION); 7062306a36Sopenharmony_ci /* make NaN quiet */ 7162306a36Sopenharmony_ci Set_invalidflag(); 7262306a36Sopenharmony_ci Sgl_set_quiet(opnd1); 7362306a36Sopenharmony_ci } 7462306a36Sopenharmony_ci /* 7562306a36Sopenharmony_ci * is second operand a signaling NaN? 7662306a36Sopenharmony_ci */ 7762306a36Sopenharmony_ci else if (Sgl_is_signalingnan(opnd2)) { 7862306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 7962306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) 8062306a36Sopenharmony_ci return(INVALIDEXCEPTION); 8162306a36Sopenharmony_ci /* make NaN quiet */ 8262306a36Sopenharmony_ci Set_invalidflag(); 8362306a36Sopenharmony_ci Sgl_set_quiet(opnd2); 8462306a36Sopenharmony_ci *dstptr = opnd2; 8562306a36Sopenharmony_ci return(NOEXCEPTION); 8662306a36Sopenharmony_ci } 8762306a36Sopenharmony_ci /* 8862306a36Sopenharmony_ci * return quiet NaN 8962306a36Sopenharmony_ci */ 9062306a36Sopenharmony_ci *dstptr = opnd1; 9162306a36Sopenharmony_ci return(NOEXCEPTION); 9262306a36Sopenharmony_ci } 9362306a36Sopenharmony_ci } 9462306a36Sopenharmony_ci /* 9562306a36Sopenharmony_ci * check second operand for NaN's or infinity 9662306a36Sopenharmony_ci */ 9762306a36Sopenharmony_ci if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) { 9862306a36Sopenharmony_ci if (Sgl_iszero_mantissa(opnd2)) { 9962306a36Sopenharmony_ci /* 10062306a36Sopenharmony_ci * return first operand 10162306a36Sopenharmony_ci */ 10262306a36Sopenharmony_ci *dstptr = opnd1; 10362306a36Sopenharmony_ci return(NOEXCEPTION); 10462306a36Sopenharmony_ci } 10562306a36Sopenharmony_ci /* 10662306a36Sopenharmony_ci * is NaN; signaling or quiet? 10762306a36Sopenharmony_ci */ 10862306a36Sopenharmony_ci if (Sgl_isone_signaling(opnd2)) { 10962306a36Sopenharmony_ci /* trap if INVALIDTRAP enabled */ 11062306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); 11162306a36Sopenharmony_ci /* make NaN quiet */ 11262306a36Sopenharmony_ci Set_invalidflag(); 11362306a36Sopenharmony_ci Sgl_set_quiet(opnd2); 11462306a36Sopenharmony_ci } 11562306a36Sopenharmony_ci /* 11662306a36Sopenharmony_ci * return quiet NaN 11762306a36Sopenharmony_ci */ 11862306a36Sopenharmony_ci *dstptr = opnd2; 11962306a36Sopenharmony_ci return(NOEXCEPTION); 12062306a36Sopenharmony_ci } 12162306a36Sopenharmony_ci /* 12262306a36Sopenharmony_ci * check second operand for zero 12362306a36Sopenharmony_ci */ 12462306a36Sopenharmony_ci if (Sgl_iszero_exponentmantissa(opnd2)) { 12562306a36Sopenharmony_ci /* invalid since second operand is zero */ 12662306a36Sopenharmony_ci if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); 12762306a36Sopenharmony_ci Set_invalidflag(); 12862306a36Sopenharmony_ci Sgl_makequietnan(result); 12962306a36Sopenharmony_ci *dstptr = result; 13062306a36Sopenharmony_ci return(NOEXCEPTION); 13162306a36Sopenharmony_ci } 13262306a36Sopenharmony_ci 13362306a36Sopenharmony_ci /* 13462306a36Sopenharmony_ci * get sign of result 13562306a36Sopenharmony_ci */ 13662306a36Sopenharmony_ci result = opnd1; 13762306a36Sopenharmony_ci 13862306a36Sopenharmony_ci /* 13962306a36Sopenharmony_ci * check for denormalized operands 14062306a36Sopenharmony_ci */ 14162306a36Sopenharmony_ci if (opnd1_exponent == 0) { 14262306a36Sopenharmony_ci /* check for zero */ 14362306a36Sopenharmony_ci if (Sgl_iszero_mantissa(opnd1)) { 14462306a36Sopenharmony_ci *dstptr = opnd1; 14562306a36Sopenharmony_ci return(NOEXCEPTION); 14662306a36Sopenharmony_ci } 14762306a36Sopenharmony_ci /* normalize, then continue */ 14862306a36Sopenharmony_ci opnd1_exponent = 1; 14962306a36Sopenharmony_ci Sgl_normalize(opnd1,opnd1_exponent); 15062306a36Sopenharmony_ci } 15162306a36Sopenharmony_ci else { 15262306a36Sopenharmony_ci Sgl_clear_signexponent_set_hidden(opnd1); 15362306a36Sopenharmony_ci } 15462306a36Sopenharmony_ci if (opnd2_exponent == 0) { 15562306a36Sopenharmony_ci /* normalize, then continue */ 15662306a36Sopenharmony_ci opnd2_exponent = 1; 15762306a36Sopenharmony_ci Sgl_normalize(opnd2,opnd2_exponent); 15862306a36Sopenharmony_ci } 15962306a36Sopenharmony_ci else { 16062306a36Sopenharmony_ci Sgl_clear_signexponent_set_hidden(opnd2); 16162306a36Sopenharmony_ci } 16262306a36Sopenharmony_ci 16362306a36Sopenharmony_ci /* find result exponent and divide step loop count */ 16462306a36Sopenharmony_ci dest_exponent = opnd2_exponent - 1; 16562306a36Sopenharmony_ci stepcount = opnd1_exponent - opnd2_exponent; 16662306a36Sopenharmony_ci 16762306a36Sopenharmony_ci /* 16862306a36Sopenharmony_ci * check for opnd1/opnd2 < 1 16962306a36Sopenharmony_ci */ 17062306a36Sopenharmony_ci if (stepcount < 0) { 17162306a36Sopenharmony_ci /* 17262306a36Sopenharmony_ci * check for opnd1/opnd2 > 1/2 17362306a36Sopenharmony_ci * 17462306a36Sopenharmony_ci * In this case n will round to 1, so 17562306a36Sopenharmony_ci * r = opnd1 - opnd2 17662306a36Sopenharmony_ci */ 17762306a36Sopenharmony_ci if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) { 17862306a36Sopenharmony_ci Sgl_all(result) = ~Sgl_all(result); /* set sign */ 17962306a36Sopenharmony_ci /* align opnd2 with opnd1 */ 18062306a36Sopenharmony_ci Sgl_leftshiftby1(opnd2); 18162306a36Sopenharmony_ci Sgl_subtract(opnd2,opnd1,opnd2); 18262306a36Sopenharmony_ci /* now normalize */ 18362306a36Sopenharmony_ci while (Sgl_iszero_hidden(opnd2)) { 18462306a36Sopenharmony_ci Sgl_leftshiftby1(opnd2); 18562306a36Sopenharmony_ci dest_exponent--; 18662306a36Sopenharmony_ci } 18762306a36Sopenharmony_ci Sgl_set_exponentmantissa(result,opnd2); 18862306a36Sopenharmony_ci goto testforunderflow; 18962306a36Sopenharmony_ci } 19062306a36Sopenharmony_ci /* 19162306a36Sopenharmony_ci * opnd1/opnd2 <= 1/2 19262306a36Sopenharmony_ci * 19362306a36Sopenharmony_ci * In this case n will round to zero, so 19462306a36Sopenharmony_ci * r = opnd1 19562306a36Sopenharmony_ci */ 19662306a36Sopenharmony_ci Sgl_set_exponentmantissa(result,opnd1); 19762306a36Sopenharmony_ci dest_exponent = opnd1_exponent; 19862306a36Sopenharmony_ci goto testforunderflow; 19962306a36Sopenharmony_ci } 20062306a36Sopenharmony_ci 20162306a36Sopenharmony_ci /* 20262306a36Sopenharmony_ci * Generate result 20362306a36Sopenharmony_ci * 20462306a36Sopenharmony_ci * Do iterative subtract until remainder is less than operand 2. 20562306a36Sopenharmony_ci */ 20662306a36Sopenharmony_ci while (stepcount-- > 0 && Sgl_all(opnd1)) { 20762306a36Sopenharmony_ci if (Sgl_isnotlessthan(opnd1,opnd2)) 20862306a36Sopenharmony_ci Sgl_subtract(opnd1,opnd2,opnd1); 20962306a36Sopenharmony_ci Sgl_leftshiftby1(opnd1); 21062306a36Sopenharmony_ci } 21162306a36Sopenharmony_ci /* 21262306a36Sopenharmony_ci * Do last subtract, then determine which way to round if remainder 21362306a36Sopenharmony_ci * is exactly 1/2 of opnd2 21462306a36Sopenharmony_ci */ 21562306a36Sopenharmony_ci if (Sgl_isnotlessthan(opnd1,opnd2)) { 21662306a36Sopenharmony_ci Sgl_subtract(opnd1,opnd2,opnd1); 21762306a36Sopenharmony_ci roundup = TRUE; 21862306a36Sopenharmony_ci } 21962306a36Sopenharmony_ci if (stepcount > 0 || Sgl_iszero(opnd1)) { 22062306a36Sopenharmony_ci /* division is exact, remainder is zero */ 22162306a36Sopenharmony_ci Sgl_setzero_exponentmantissa(result); 22262306a36Sopenharmony_ci *dstptr = result; 22362306a36Sopenharmony_ci return(NOEXCEPTION); 22462306a36Sopenharmony_ci } 22562306a36Sopenharmony_ci 22662306a36Sopenharmony_ci /* 22762306a36Sopenharmony_ci * Check for cases where opnd1/opnd2 < n 22862306a36Sopenharmony_ci * 22962306a36Sopenharmony_ci * In this case the result's sign will be opposite that of 23062306a36Sopenharmony_ci * opnd1. The mantissa also needs some correction. 23162306a36Sopenharmony_ci */ 23262306a36Sopenharmony_ci Sgl_leftshiftby1(opnd1); 23362306a36Sopenharmony_ci if (Sgl_isgreaterthan(opnd1,opnd2)) { 23462306a36Sopenharmony_ci Sgl_invert_sign(result); 23562306a36Sopenharmony_ci Sgl_subtract((opnd2<<1),opnd1,opnd1); 23662306a36Sopenharmony_ci } 23762306a36Sopenharmony_ci /* check for remainder being exactly 1/2 of opnd2 */ 23862306a36Sopenharmony_ci else if (Sgl_isequal(opnd1,opnd2) && roundup) { 23962306a36Sopenharmony_ci Sgl_invert_sign(result); 24062306a36Sopenharmony_ci } 24162306a36Sopenharmony_ci 24262306a36Sopenharmony_ci /* normalize result's mantissa */ 24362306a36Sopenharmony_ci while (Sgl_iszero_hidden(opnd1)) { 24462306a36Sopenharmony_ci dest_exponent--; 24562306a36Sopenharmony_ci Sgl_leftshiftby1(opnd1); 24662306a36Sopenharmony_ci } 24762306a36Sopenharmony_ci Sgl_set_exponentmantissa(result,opnd1); 24862306a36Sopenharmony_ci 24962306a36Sopenharmony_ci /* 25062306a36Sopenharmony_ci * Test for underflow 25162306a36Sopenharmony_ci */ 25262306a36Sopenharmony_ci testforunderflow: 25362306a36Sopenharmony_ci if (dest_exponent <= 0) { 25462306a36Sopenharmony_ci /* trap if UNDERFLOWTRAP enabled */ 25562306a36Sopenharmony_ci if (Is_underflowtrap_enabled()) { 25662306a36Sopenharmony_ci /* 25762306a36Sopenharmony_ci * Adjust bias of result 25862306a36Sopenharmony_ci */ 25962306a36Sopenharmony_ci Sgl_setwrapped_exponent(result,dest_exponent,unfl); 26062306a36Sopenharmony_ci *dstptr = result; 26162306a36Sopenharmony_ci /* frem is always exact */ 26262306a36Sopenharmony_ci return(UNDERFLOWEXCEPTION); 26362306a36Sopenharmony_ci } 26462306a36Sopenharmony_ci /* 26562306a36Sopenharmony_ci * denormalize result or set to signed zero 26662306a36Sopenharmony_ci */ 26762306a36Sopenharmony_ci if (dest_exponent >= (1 - SGL_P)) { 26862306a36Sopenharmony_ci Sgl_rightshift_exponentmantissa(result,1-dest_exponent); 26962306a36Sopenharmony_ci } 27062306a36Sopenharmony_ci else { 27162306a36Sopenharmony_ci Sgl_setzero_exponentmantissa(result); 27262306a36Sopenharmony_ci } 27362306a36Sopenharmony_ci } 27462306a36Sopenharmony_ci else Sgl_set_exponent(result,dest_exponent); 27562306a36Sopenharmony_ci *dstptr = result; 27662306a36Sopenharmony_ci return(NOEXCEPTION); 27762306a36Sopenharmony_ci} 278