| /* |
| * 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. |
| */ |
| |
| #include "math32.h" |
| #if !defined(SUBNORMALS_SUPPORTED) |
| #include "floattointconversion.h" |
| #endif //SUBNORMALS_SUPPORTED |
| |
| // Returns sqrt(x*x + y*y) with no overflow or underflow unless the result warrants it |
| |
| |
| |
| |
| __attribute__((overloadable, always_inline)) float |
| hypot(float x, float y) |
| { |
| uint ux = as_uint(x); |
| uint aux = ux & EXSIGNBIT_SP32; |
| uint uy = as_uint(y); |
| uint auy = uy & EXSIGNBIT_SP32; |
| float retval; |
| int c = aux > auy; |
| ux = c ? aux : auy; |
| uy = c ? auy : aux; |
| |
| #if !defined(SUBNORMALS_SUPPORTED) |
| if( as_float(uy) > 0.0 && ux < 0x7effffff) |
| { |
| #endif //SUBNORMALS_SUPPORTED |
| int xexp = clamp((int)(ux >> EXPSHIFTBITS_SP32) - EXPBIAS_SP32, -126, 126); |
| float fx_exp = as_float((xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32); |
| float fi_exp = as_float((-xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32); |
| float fx = as_float(ux) * fi_exp; |
| float fy = as_float(uy) * fi_exp; |
| retval = MATH_SQRT(mad(fx, fx, fy*fy)) * fx_exp; |
| #if !defined(SUBNORMALS_SUPPORTED) |
| } |
| else |
| { |
| double dy = float_uint_to_double(as_uint(y)); |
| double dx = float_uint_to_double(as_uint(x)); |
| double dretval = sqrt(dx*dx + dy*dy); |
| retval = as_float(double_to_float_uint(dretval)); |
| } |
| #endif //SUBNORMALS_SUPPORTED |
| |
| retval = ux > PINFBITPATT_SP32 | uy == 0 ? as_float(ux) : retval; |
| retval = ux == PINFBITPATT_SP32 | uy == PINFBITPATT_SP32 ? as_float(PINFBITPATT_SP32) : retval; |
| return retval; |
| } |