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| 1 | +//===----------------------------------------------------------------------===// |
| 2 | +// |
| 3 | +// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| 4 | +// See https://llvm.org/LICENSE.txt for license information. |
| 5 | +// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| 6 | +// |
| 7 | +//===----------------------------------------------------------------------===// |
| 8 | + |
| 9 | +#if __CLC_FPSIZE == 32 |
| 10 | + |
| 11 | +_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE __clc_exp(__CLC_GENTYPE x) { |
| 12 | + // Reduce x |
| 13 | + const __CLC_GENTYPE ln2HI = 0x1.62e300p-1f; |
| 14 | + const __CLC_GENTYPE ln2LO = 0x1.2fefa2p-17f; |
| 15 | + const __CLC_GENTYPE invln2 = 0x1.715476p+0f; |
| 16 | + |
| 17 | + __CLC_GENTYPE fhalF = x < 0.0f ? -0.5f : 0.5f; |
| 18 | + __CLC_INTN p = __CLC_CONVERT_INTN(__clc_mad(x, invln2, fhalF)); |
| 19 | + __CLC_GENTYPE fp = __CLC_CONVERT_GENTYPE(p); |
| 20 | + __CLC_GENTYPE hi = __clc_mad(fp, -ln2HI, x); // t*ln2HI is exact here |
| 21 | + __CLC_GENTYPE lo = -fp * ln2LO; |
| 22 | + |
| 23 | + // Evaluate poly |
| 24 | + __CLC_GENTYPE t = hi + lo; |
| 25 | + __CLC_GENTYPE tt = t * t; |
| 26 | + __CLC_GENTYPE v = __clc_mad( |
| 27 | + tt, |
| 28 | + -__clc_mad( |
| 29 | + tt, |
| 30 | + __clc_mad(tt, |
| 31 | + __clc_mad(tt, |
| 32 | + __clc_mad(tt, 0x1.637698p-25f, -0x1.bbd41cp-20f), |
| 33 | + 0x1.1566aap-14f), |
| 34 | + -0x1.6c16c2p-9f), |
| 35 | + 0x1.555556p-3f), |
| 36 | + t); |
| 37 | + |
| 38 | + __CLC_GENTYPE y = 1.0f - (((-lo) - MATH_DIVIDE(t * v, 2.0f - v)) - hi); |
| 39 | + |
| 40 | + // Scale by 2^p |
| 41 | + __CLC_GENTYPE r = __CLC_AS_GENTYPE(__CLC_AS_INTN(y) + (p << 23)); |
| 42 | + |
| 43 | + // ln(largest_normal) = 88.72283905206835305366 |
| 44 | + const __CLC_GENTYPE ulim = 0x1.62e430p+6f; |
| 45 | + // ln(smallest_normal) = -87.33654475055310898657 |
| 46 | + const __CLC_GENTYPE llim = -0x1.5d589ep+6f; |
| 47 | + |
| 48 | + r = x < llim ? 0.0f : r; |
| 49 | + r = x < ulim ? r : __CLC_AS_GENTYPE((__CLC_UINTN)0x7f800000); |
| 50 | + return __clc_isnan(x) ? x : r; |
| 51 | +} |
| 52 | + |
| 53 | +#elif __CLC_FPSIZE == 64 |
| 54 | + |
| 55 | +_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE __clc_exp(__CLC_GENTYPE x) { |
| 56 | + |
| 57 | + const __CLC_GENTYPE X_MIN = -0x1.74910d52d3051p+9; // -1075*ln(2) |
| 58 | + const __CLC_GENTYPE X_MAX = 0x1.62e42fefa39efp+9; // 1024*ln(2) |
| 59 | + const __CLC_GENTYPE R_64_BY_LOG2 = 0x1.71547652b82fep+6; // 64/ln(2) |
| 60 | + const __CLC_GENTYPE R_LOG2_BY_64_LD = 0x1.62e42fefa0000p-7; // head ln(2)/64 |
| 61 | + const __CLC_GENTYPE R_LOG2_BY_64_TL = 0x1.cf79abc9e3b39p-46; // tail ln(2)/64 |
| 62 | + |
| 63 | + __CLC_INTN n = __CLC_CONVERT_INTN(x * R_64_BY_LOG2); |
| 64 | + __CLC_GENTYPE r = |
| 65 | + __clc_fma(-R_LOG2_BY_64_TL, __CLC_CONVERT_GENTYPE(n), |
| 66 | + __clc_fma(-R_LOG2_BY_64_LD, __CLC_CONVERT_GENTYPE(n), x)); |
| 67 | + return __clc_exp_helper(x, X_MIN, X_MAX, r, n); |
| 68 | +} |
| 69 | + |
| 70 | +#elif __CLC_FPSIZE == 16 |
| 71 | + |
| 72 | +_CLC_OVERLOAD _CLC_DEF __CLC_GENTYPE __clc_exp(__CLC_GENTYPE x) { |
| 73 | + return __CLC_CONVERT_GENTYPE(__clc_exp(__CLC_CONVERT_FLOATN(x))); |
| 74 | +} |
| 75 | + |
| 76 | +#endif |
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