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