// 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/sfadd.c               $Revision: 1.1 $
 *
 *  Purpose:
 *      Single_add: add two single precision values.
 *
 *  External Interfaces:
 *      sgl_fadd(leftptr, rightptr, dstptr, status)
 *
 *  Internal Interfaces:
 *
 *  Theory:
 *      <<please update with a overview of the operation of this file>>
 *
 * END_DESC
*/


#include "float.h"
#include "sgl_float.h"

/*
 * Single_add: add two single precision values.
 */
int
sgl_fadd(
    sgl_floating_point *leftptr,
    sgl_floating_point *rightptr,
    sgl_floating_point *dstptr,
    unsigned int *status)
    {
    register unsigned int left, right, result, extent;
    register unsigned int signless_upper_left, signless_upper_right, save;
    
    
    register int result_exponent, right_exponent, diff_exponent;
    register int sign_save, jumpsize;
    register boolean inexact = FALSE;
    register boolean underflowtrap;
        
    /* Create local copies of the numbers */
    left = *leftptr;
    right = *rightptr;

    /* A zero "save" helps discover equal operands (for later),  *
     * and is used in swapping operands (if needed).             */
    Sgl_xortointp1(left,right,/*to*/save);

    /*
     * check first operand for NaN's or infinity
     */
    if ((result_exponent = Sgl_exponent(left)) == SGL_INFINITY_EXPONENT)
        {
        if (Sgl_iszero_mantissa(left)) 
            {
            if (Sgl_isnotnan(right)) 
                {
                if (Sgl_isinfinity(right) && save!=0) 
                    {
                    /* 
                     * invalid since operands are opposite signed infinity's
                     */
                    if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
                    Set_invalidflag();
                    Sgl_makequietnan(result);
                    *dstptr = result;
                    return(NOEXCEPTION);
                    }
                /*
                 * return infinity
                 */
                *dstptr = left;
                return(NOEXCEPTION);
                }
            }
        else 
            {
            /*
             * is NaN; signaling or quiet?
             */
            if (Sgl_isone_signaling(left)) 
                {
                /* trap if INVALIDTRAP enabled */
                if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
                /* make NaN quiet */
                Set_invalidflag();
                Sgl_set_quiet(left);
                }
            /* 
             * is second operand a signaling NaN? 
             */
            else if (Sgl_is_signalingnan(right)) 
                {
                /* trap if INVALIDTRAP enabled */
                if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
                /* make NaN quiet */
                Set_invalidflag();
                Sgl_set_quiet(right);
                *dstptr = right;
                return(NOEXCEPTION);
                }
            /*
             * return quiet NaN
             */
            *dstptr = left;
            return(NOEXCEPTION);
            }
        } /* End left NaN or Infinity processing */
    /*
     * check second operand for NaN's or infinity
     */
    if (Sgl_isinfinity_exponent(right)) 
        {
        if (Sgl_iszero_mantissa(right)) 
            {
            /* return infinity */
            *dstptr = right;
            return(NOEXCEPTION);
            }
        /*
         * is NaN; signaling or quiet?
         */
        if (Sgl_isone_signaling(right)) 
            {
            /* trap if INVALIDTRAP enabled */
            if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
            /* make NaN quiet */
            Set_invalidflag();
            Sgl_set_quiet(right);
            }
        /*
         * return quiet NaN
         */
        *dstptr = right;
        return(NOEXCEPTION);
        } /* End right NaN or Infinity processing */

    /* Invariant: Must be dealing with finite numbers */

    /* Compare operands by removing the sign */
    Sgl_copytoint_exponentmantissa(left,signless_upper_left);
    Sgl_copytoint_exponentmantissa(right,signless_upper_right);

    /* sign difference selects add or sub operation. */
    if(Sgl_ismagnitudeless(signless_upper_left,signless_upper_right))
        {
        /* Set the left operand to the larger one by XOR swap *
         *  First finish the first word using "save"          */
        Sgl_xorfromintp1(save,right,/*to*/right);
        Sgl_xorfromintp1(save,left,/*to*/left);
        result_exponent = Sgl_exponent(left);
        }
    /* Invariant:  left is not smaller than right. */ 

    if((right_exponent = Sgl_exponent(right)) == 0)
        {
        /* Denormalized operands.  First look for zeroes */
        if(Sgl_iszero_mantissa(right)) 
            {
            /* right is zero */
            if(Sgl_iszero_exponentmantissa(left))
                {
                /* Both operands are zeros */
                if(Is_rounding_mode(ROUNDMINUS))
                    {
                    Sgl_or_signs(left,/*with*/right);
                    }
                else
                    {
                    Sgl_and_signs(left,/*with*/right);
                    }
                }
            else 
                {
                /* Left is not a zero and must be the result.  Trapped
                 * underflows are signaled if left is denormalized.  Result
                 * is always exact. */
                if( (result_exponent == 0) && Is_underflowtrap_enabled() )
                    {
                    /* need to normalize results mantissa */
                    sign_save = Sgl_signextendedsign(left);
                    Sgl_leftshiftby1(left);
                    Sgl_normalize(left,result_exponent);
                    Sgl_set_sign(left,/*using*/sign_save);
                    Sgl_setwrapped_exponent(left,result_exponent,unfl);
                    *dstptr = left;
                    return(UNDERFLOWEXCEPTION);
                    }
                }
            *dstptr = left;
            return(NOEXCEPTION);
            }

        /* Neither are zeroes */
        Sgl_clear_sign(right);  /* Exponent is already cleared */
        if(result_exponent == 0 )
            {
            /* Both operands are denormalized.  The result must be exact
             * and is simply calculated.  A sum could become normalized and a
             * difference could cancel to a true zero. */
            if( (/*signed*/int) save < 0 )
                {
                Sgl_subtract(left,/*minus*/right,/*into*/result);
                if(Sgl_iszero_mantissa(result))
                    {
                    if(Is_rounding_mode(ROUNDMINUS))
                        {
                        Sgl_setone_sign(result);
                        }
                    else
                        {
                        Sgl_setzero_sign(result);
                        }
                    *dstptr = result;
                    return(NOEXCEPTION);
                    }
                }
            else
                {
                Sgl_addition(left,right,/*into*/result);
                if(Sgl_isone_hidden(result))
                    {
                    *dstptr = result;
                    return(NOEXCEPTION);
                    }
                }
            if(Is_underflowtrap_enabled())
                {
                /* need to normalize result */
                sign_save = Sgl_signextendedsign(result);
                Sgl_leftshiftby1(result);
                Sgl_normalize(result,result_exponent);
                Sgl_set_sign(result,/*using*/sign_save);
                Sgl_setwrapped_exponent(result,result_exponent,unfl);
                *dstptr = result;
                return(UNDERFLOWEXCEPTION);
                }
            *dstptr = result;
            return(NOEXCEPTION);
            }
        right_exponent = 1;     /* Set exponent to reflect different bias
                                 * with denomalized numbers. */
        }
    else
        {
        Sgl_clear_signexponent_set_hidden(right);
        }
    Sgl_clear_exponent_set_hidden(left);
    diff_exponent = result_exponent - right_exponent;

    /* 
     * Special case alignment of operands that would force alignment 
     * beyond the extent of the extension.  A further optimization
     * could special case this but only reduces the path length for this
     * infrequent case.
     */
    if(diff_exponent > SGL_THRESHOLD)
        {
        diff_exponent = SGL_THRESHOLD;
        }
    
    /* Align right operand by shifting to right */
    Sgl_right_align(/*operand*/right,/*shifted by*/diff_exponent,
     /*and lower to*/extent);

    /* Treat sum and difference of the operands separately. */
    if( (/*signed*/int) save < 0 )
        {
        /*
         * Difference of the two operands.  Their can be no overflow.  A
         * borrow can occur out of the hidden bit and force a post
         * normalization phase.
         */
        Sgl_subtract_withextension(left,/*minus*/right,/*with*/extent,/*into*/result);
        if(Sgl_iszero_hidden(result))
            {
            /* Handle normalization */
            /* A straightforward algorithm would now shift the result
             * and extension left until the hidden bit becomes one.  Not
             * all of the extension bits need participate in the shift.
             * Only the two most significant bits (round and guard) are
             * needed.  If only a single shift is needed then the guard
             * bit becomes a significant low order bit and the extension
             * must participate in the rounding.  If more than a single 
             * shift is needed, then all bits to the right of the guard 
             * bit are zeros, and the guard bit may or may not be zero. */
            sign_save = Sgl_signextendedsign(result);
            Sgl_leftshiftby1_withextent(result,extent,result);

            /* Need to check for a zero result.  The sign and exponent
             * fields have already been zeroed.  The more efficient test
             * of the full object can be used.
             */
            if(Sgl_iszero(result))
                /* Must have been "x-x" or "x+(-x)". */
                {
                if(Is_rounding_mode(ROUNDMINUS)) Sgl_setone_sign(result);
                *dstptr = result;
                return(NOEXCEPTION);
                }
            result_exponent--;
            /* Look to see if normalization is finished. */
            if(Sgl_isone_hidden(result))
                {
                if(result_exponent==0)
                    {
                    /* Denormalized, exponent should be zero.  Left operand *
                     * was normalized, so extent (guard, round) was zero    */
                    goto underflow;
                    }
                else
                    {
                    /* No further normalization is needed. */
                    Sgl_set_sign(result,/*using*/sign_save);
                    Ext_leftshiftby1(extent);
                    goto round;
                    }
                }

            /* Check for denormalized, exponent should be zero.  Left    * 
             * operand was normalized, so extent (guard, round) was zero */
            if(!(underflowtrap = Is_underflowtrap_enabled()) &&
               result_exponent==0) goto underflow;

            /* Shift extension to complete one bit of normalization and
             * update exponent. */
            Ext_leftshiftby1(extent);

            /* Discover first one bit to determine shift amount.  Use a
             * modified binary search.  We have already shifted the result
             * one position right and still not found a one so the remainder
             * of the extension must be zero and simplifies rounding. */
            /* Scan bytes */
            while(Sgl_iszero_hiddenhigh7mantissa(result))
                {
                Sgl_leftshiftby8(result);
                if((result_exponent -= 8) <= 0  && !underflowtrap)
                    goto underflow;
                }
            /* Now narrow it down to the nibble */
            if(Sgl_iszero_hiddenhigh3mantissa(result))
                {
                /* The lower nibble contains the normalizing one */
                Sgl_leftshiftby4(result);
                if((result_exponent -= 4) <= 0 && !underflowtrap)
                    goto underflow;
                }
            /* Select case were first bit is set (already normalized)
             * otherwise select the proper shift. */
            if((jumpsize = Sgl_hiddenhigh3mantissa(result)) > 7)
                {
                /* Already normalized */
                if(result_exponent <= 0) goto underflow;
                Sgl_set_sign(result,/*using*/sign_save);
                Sgl_set_exponent(result,/*using*/result_exponent);
                *dstptr = result;
                return(NOEXCEPTION);
                }
            Sgl_sethigh4bits(result,/*using*/sign_save);
            switch(jumpsize) 
                {
                case 1:
                    {
                    Sgl_leftshiftby3(result);
                    result_exponent -= 3;
                    break;
                    }
                case 2:
                case 3:
                    {
                    Sgl_leftshiftby2(result);
                    result_exponent -= 2;
                    break;
                    }
                case 4:
                case 5:
                case 6:
                case 7:
                    {
                    Sgl_leftshiftby1(result);
                    result_exponent -= 1;
                    break;
                    }
                }
            if(result_exponent > 0) 
                {
                Sgl_set_exponent(result,/*using*/result_exponent);
                *dstptr = result;
                return(NOEXCEPTION); /* Sign bit is already set */
                }
            /* Fixup potential underflows */
          underflow:
            if(Is_underflowtrap_enabled())
                {
                Sgl_set_sign(result,sign_save);
                Sgl_setwrapped_exponent(result,result_exponent,unfl);
                *dstptr = result;
                /* inexact = FALSE; */
                return(UNDERFLOWEXCEPTION);
                }
            /* 
             * Since we cannot get an inexact denormalized result,
             * we can now return.
             */
            Sgl_right_align(result,/*by*/(1-result_exponent),extent);
            Sgl_clear_signexponent(result);
            Sgl_set_sign(result,sign_save);
            *dstptr = result;
            return(NOEXCEPTION);
            } /* end if(hidden...)... */
        /* Fall through and round */
        } /* end if(save < 0)... */
    else 
        {
        /* Add magnitudes */
        Sgl_addition(left,right,/*to*/result);
        if(Sgl_isone_hiddenoverflow(result))
            {
            /* Prenormalization required. */
            Sgl_rightshiftby1_withextent(result,extent,extent);
            Sgl_arithrightshiftby1(result);
            result_exponent++;
            } /* end if hiddenoverflow... */
        } /* end else ...add magnitudes... */
    
    /* Round the result.  If the extension is all zeros,then the result is
     * exact.  Otherwise round in the correct direction.  No underflow is
     * possible. If a postnormalization is necessary, then the mantissa is
     * all zeros so no shift is needed. */
  round:
    if(Ext_isnotzero(extent))
        {
        inexact = TRUE;
        switch(Rounding_mode())
            {
            case ROUNDNEAREST: /* The default. */
            if(Ext_isone_sign(extent))
                {
                /* at least 1/2 ulp */
                if(Ext_isnotzero_lower(extent)  ||
                  Sgl_isone_lowmantissa(result))
                    {
                    /* either exactly half way and odd or more than 1/2ulp */
                    Sgl_increment(result);
                    }
                }
            break;

            case ROUNDPLUS:
            if(Sgl_iszero_sign(result))
                {
                /* Round up positive results */
                Sgl_increment(result);
                }
            break;
            
            case ROUNDMINUS:
            if(Sgl_isone_sign(result))
                {
                /* Round down negative results */
                Sgl_increment(result);
                }
            
            case ROUNDZERO:;
            /* truncate is simple */
            } /* end switch... */
        if(Sgl_isone_hiddenoverflow(result)) result_exponent++;
        }
    if(result_exponent == SGL_INFINITY_EXPONENT)
        {
        /* Overflow */
        if(Is_overflowtrap_enabled())
            {
            Sgl_setwrapped_exponent(result,result_exponent,ovfl);
            *dstptr = result;
            if (inexact)
                if (Is_inexacttrap_enabled())
                    return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
                else Set_inexactflag();
            return(OVERFLOWEXCEPTION);
            }
        else
            {
            Set_overflowflag();
            inexact = TRUE;
            Sgl_setoverflow(result);
            }
        }
    else Sgl_set_exponent(result,result_exponent);
    *dstptr = result;
    if(inexact) 
        if(Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
        else Set_inexactflag();
    return(NOEXCEPTION);
    }