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| 1 | +/* |
| 2 | + * Copyright (c) 2014 Advanced Micro Devices, Inc. |
| 3 | + * |
| 4 | + * Permission is hereby granted, free of charge, to any person obtaining a copy |
| 5 | + * of this software and associated documentation files (the "Software"), to deal |
| 6 | + * in the Software without restriction, including without limitation the rights |
| 7 | + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
| 8 | + * copies of the Software, and to permit persons to whom the Software is |
| 9 | + * furnished to do so, subject to the following conditions: |
| 10 | + * |
| 11 | + * The above copyright notice and this permission notice shall be included in |
| 12 | + * all copies or substantial portions of the Software. |
| 13 | + * |
| 14 | + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
| 15 | + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
| 16 | + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
| 17 | + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
| 18 | + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
| 19 | + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
| 20 | + * THE SOFTWARE. |
| 21 | + */ |
| 22 | + |
| 23 | +// Returns sqrt(x*x + y*y) with no overflow or underflow unless the result |
| 24 | +// warrants it |
| 25 | + |
| 26 | +#if __CLC_FPSIZE == 32 |
| 27 | +_CLC_DEF _CLC_OVERLOAD __CLC_GENTYPE __clc_hypot(__CLC_GENTYPE x, |
| 28 | + __CLC_GENTYPE y) { |
| 29 | + __CLC_UINTN ux = __CLC_AS_UINTN(x); |
| 30 | + __CLC_UINTN aux = ux & EXSIGNBIT_SP32; |
| 31 | + __CLC_UINTN uy = __CLC_AS_UINTN(y); |
| 32 | + __CLC_UINTN auy = uy & EXSIGNBIT_SP32; |
| 33 | + __CLC_INTN c = aux > auy; |
| 34 | + ux = c ? aux : auy; |
| 35 | + uy = c ? auy : aux; |
| 36 | + |
| 37 | + __CLC_INTN xexp = __clc_clamp( |
| 38 | + __CLC_AS_INTN(ux >> EXPSHIFTBITS_SP32) - EXPBIAS_SP32, -126, 126); |
| 39 | + __CLC_GENTYPE fx_exp = |
| 40 | + __CLC_AS_GENTYPE((xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32); |
| 41 | + __CLC_GENTYPE fi_exp = |
| 42 | + __CLC_AS_GENTYPE((-xexp + EXPBIAS_SP32) << EXPSHIFTBITS_SP32); |
| 43 | + __CLC_GENTYPE fx = __CLC_AS_GENTYPE(ux) * fi_exp; |
| 44 | + __CLC_GENTYPE fy = __CLC_AS_GENTYPE(uy) * fi_exp; |
| 45 | + |
| 46 | + __CLC_GENTYPE retval = __clc_sqrt(__clc_mad(fx, fx, fy * fy)) * fx_exp; |
| 47 | + |
| 48 | + retval = (ux > PINFBITPATT_SP32 || uy == 0) ? __CLC_AS_GENTYPE(ux) : retval; |
| 49 | + retval = (ux == PINFBITPATT_SP32 || uy == PINFBITPATT_SP32) |
| 50 | + ? __CLC_AS_GENTYPE((__CLC_UINTN)PINFBITPATT_SP32) |
| 51 | + : retval; |
| 52 | + return retval; |
| 53 | +} |
| 54 | + |
| 55 | +#elif __CLC_FPSIZE == 64 |
| 56 | + |
| 57 | +_CLC_DEF _CLC_OVERLOAD __CLC_GENTYPE __clc_hypot(__CLC_GENTYPE x, |
| 58 | + __CLC_GENTYPE y) { |
| 59 | + __CLC_ULONGN ux = __CLC_AS_ULONGN(x) & ~SIGNBIT_DP64; |
| 60 | + __CLC_INTN xexp = __CLC_CONVERT_INTN(ux >> EXPSHIFTBITS_DP64); |
| 61 | + x = __CLC_AS_GENTYPE(ux); |
| 62 | + |
| 63 | + __CLC_ULONGN uy = __CLC_AS_ULONGN(y) & ~SIGNBIT_DP64; |
| 64 | + __CLC_INTN yexp = __CLC_CONVERT_INTN(uy >> EXPSHIFTBITS_DP64); |
| 65 | + y = __CLC_AS_GENTYPE(uy); |
| 66 | + |
| 67 | + __CLC_LONGN c = __CLC_CONVERT_LONGN(xexp > EXPBIAS_DP64 + 500 || |
| 68 | + yexp > EXPBIAS_DP64 + 500); |
| 69 | + __CLC_GENTYPE preadjust = c ? 0x1.0p-600 : 1.0; |
| 70 | + __CLC_GENTYPE postadjust = c ? 0x1.0p+600 : 1.0; |
| 71 | + |
| 72 | + c = __CLC_CONVERT_LONGN(xexp < EXPBIAS_DP64 - 500 || |
| 73 | + yexp < EXPBIAS_DP64 - 500); |
| 74 | + preadjust = c ? 0x1.0p+600 : preadjust; |
| 75 | + postadjust = c ? 0x1.0p-600 : postadjust; |
| 76 | + |
| 77 | + __CLC_GENTYPE ax = x * preadjust; |
| 78 | + __CLC_GENTYPE ay = y * preadjust; |
| 79 | + |
| 80 | + // The post adjust may overflow, but this can't be avoided in any case |
| 81 | + __CLC_GENTYPE r = __clc_sqrt(__clc_fma(ax, ax, ay * ay)) * postadjust; |
| 82 | + |
| 83 | + // If the difference in exponents between x and y is large |
| 84 | + __CLC_GENTYPE s = x + y; |
| 85 | + c = __CLC_CONVERT_LONGN(__clc_abs(xexp - yexp) > MANTLENGTH_DP64 + 1); |
| 86 | + r = c ? s : r; |
| 87 | + |
| 88 | + // Check for NaN |
| 89 | + c = __clc_isnan(x) || __clc_isnan(y); |
| 90 | + r = c ? __CLC_AS_GENTYPE((__CLC_ULONGN)QNANBITPATT_DP64) : r; |
| 91 | + |
| 92 | + // If either is Inf, we must return Inf |
| 93 | + c = x == __CLC_AS_GENTYPE((__CLC_ULONGN)PINFBITPATT_DP64) || |
| 94 | + y == __CLC_AS_GENTYPE((__CLC_ULONGN)PINFBITPATT_DP64); |
| 95 | + r = c ? __CLC_AS_GENTYPE((__CLC_ULONGN)PINFBITPATT_DP64) : r; |
| 96 | + |
| 97 | + return r; |
| 98 | +} |
| 99 | + |
| 100 | +#elif __CLC_FPSIZE == 16 |
| 101 | + |
| 102 | +_CLC_DEF _CLC_OVERLOAD __CLC_GENTYPE __clc_hypot(__CLC_GENTYPE x, |
| 103 | + __CLC_GENTYPE y) { |
| 104 | + return __CLC_CONVERT_GENTYPE( |
| 105 | + __clc_hypot(__CLC_CONVERT_FLOATN(x), __CLC_CONVERT_FLOATN(y))); |
| 106 | +} |
| 107 | + |
| 108 | +#endif |
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