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/*
* Copyright (c) 2014 Advanced Micro Devices, Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
// Returns sqrt(x*x + y*y) with no overflow or underflow unless the result warrants it
_CL_OVERLOADABLE vtype hypot(vtype x, vtype y)
{
utype ux = as_utype(x);
utype aux = ux & (utype)EXSIGNBIT_SP32;
utype uy = as_utype(y);
utype auy = uy & (utype)EXSIGNBIT_SP32;
vtype retval;
itype c = aux > auy;
ux = c ? aux : auy;
uy = c ? auy : aux;
itype xexp = clamp(as_itype(ux >> (utype)EXPSHIFTBITS_SP32) - (itype)EXPBIAS_SP32, -126, 126);
vtype fx_exp = as_vtype((xexp + (itype)EXPBIAS_SP32) << (itype)EXPSHIFTBITS_SP32);
vtype fi_exp = as_vtype((-xexp + (itype)EXPBIAS_SP32) << (itype)EXPSHIFTBITS_SP32);
vtype fx = as_vtype(ux) * fi_exp;
vtype fy = as_vtype(uy) * fi_exp;
retval = sqrt(mad(fx, fx, fy*fy)) * fx_exp;
retval = ((ux > (utype)PINFBITPATT_SP32) | (uy == (utype)0)) ? as_vtype(ux) : retval;
retval = ((ux == (utype)PINFBITPATT_SP32) | (uy == (utype)PINFBITPATT_SP32)) ? as_vtype((itype)PINFBITPATT_SP32) : retval;
return retval;
}
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