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| | | +/* |
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| | | + * Copyright (c) 2014 Advanced Micro Devices, Inc. |
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| | | + * |
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| | | + * Permission is hereby granted, free of charge, to any person obtaining a copy |
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| | | + * of this software and associated documentation files (the "Software"), to deal |
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| | | + * in the Software without restriction, including without limitation the rights |
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| | | + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell |
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| | | + * copies of the Software, and to permit persons to whom the Software is |
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| | | + * furnished to do so, subject to the following conditions: |
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| | | + * |
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| | | + * The above copyright notice and this permission notice shall be included in |
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| | | + * all copies or substantial portions of the Software. |
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| | | + * |
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| | | + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR |
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| | | + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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| | | + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE |
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| | | + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER |
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| | | + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, |
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| | | + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN |
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| | | + * THE SOFTWARE. |
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| | | + */ |
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| | | + |
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| | | +#include <clc/clc.h> |
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| | | + |
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| | | +#include "config.h" |
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| | | +#include "math.h" |
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| | | +#include "../clcmacro.h" |
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| | | + |
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| | | +struct fp { |
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| | | + ulong mantissa; |
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| | | + int exponent; |
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| | | + uint sign; |
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| | | +}; |
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| | | + |
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| | | +_CLC_DEF _CLC_OVERLOAD float __clc_sw_fma(float a, float b, float c) |
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| | | +{ |
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| | | + /* special cases */ |
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| | | + if (isnan(a) || isnan(b) || isnan(c) || isinf(a) || isinf(b)) |
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| | | + return mad(a, b, c); |
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| | | + |
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| | | + /* If only c is inf, and both a,b are regular numbers, the result is c*/ |
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| | | + if (isinf(c)) |
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| | | + return c; |
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| | | + |
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| | | + a = __clc_flush_denormal_if_not_supported(a); |
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| | | + b = __clc_flush_denormal_if_not_supported(b); |
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| | | + c = __clc_flush_denormal_if_not_supported(c); |
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| | | + |
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| | | + if (c == 0) |
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| | | + return a * b; |
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| | | + |
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| | | + struct fp st_a, st_b, st_c; |
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| | | + |
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| | | + st_a.exponent = a == .0f ? 0 : ((as_uint(a) & 0x7f800000) >> 23) - 127; |
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| | | + st_b.exponent = b == .0f ? 0 : ((as_uint(b) & 0x7f800000) >> 23) - 127; |
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| | | + st_c.exponent = c == .0f ? 0 : ((as_uint(c) & 0x7f800000) >> 23) - 127; |
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| | | + |
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| | | + st_a.mantissa = a == .0f ? 0 : (as_uint(a) & 0x7fffff) | 0x800000; |
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| | | + st_b.mantissa = b == .0f ? 0 : (as_uint(b) & 0x7fffff) | 0x800000; |
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| | | + st_c.mantissa = c == .0f ? 0 : (as_uint(c) & 0x7fffff) | 0x800000; |
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| | | + |
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| | | + st_a.sign = as_uint(a) & 0x80000000; |
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| | | + st_b.sign = as_uint(b) & 0x80000000; |
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| | | + st_c.sign = as_uint(c) & 0x80000000; |
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| | | + |
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| | | + // Multiplication. |
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| | | + // Move the product to the highest bits to maximize precision |
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| | | + // mantissa is 24 bits => product is 48 bits, 2bits non-fraction. |
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| | | + // Add one bit for future addition overflow, |
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| | | + // add another bit to detect subtraction underflow |
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| | | + struct fp st_mul; |
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| | | + st_mul.sign = st_a.sign ^ st_b.sign; |
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| | | + st_mul.mantissa = (st_a.mantissa * st_b.mantissa) << 14ul; |
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| | | + st_mul.exponent = st_mul.mantissa ? st_a.exponent + st_b.exponent : 0; |
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| | | + |
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| | | + // FIXME: Detecting a == 0 || b == 0 above crashed GCN isel |
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| | | + if (st_mul.exponent == 0 && st_mul.mantissa == 0) |
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| | | + return c; |
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| | | + |
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| | | +// Mantissa is 23 fractional bits, shift it the same way as product mantissa |
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| | | +#define C_ADJUST 37ul |
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| | | + |
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| | | + // both exponents are bias adjusted |
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| | | + int exp_diff = st_mul.exponent - st_c.exponent; |
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| | | + |
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| | | + st_c.mantissa <<= C_ADJUST; |
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| | | + ulong cutoff_bits = 0; |
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| | | + ulong cutoff_mask = (1ul << abs(exp_diff)) - 1ul; |
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| | | + if (exp_diff > 0) { |
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| | | + cutoff_bits = exp_diff >= 64 ? st_c.mantissa : (st_c.mantissa & cutoff_mask); |
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| | | + st_c.mantissa = exp_diff >= 64 ? 0 : (st_c.mantissa >> exp_diff); |
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| | | + } else { |
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| | | + cutoff_bits = -exp_diff >= 64 ? st_mul.mantissa : (st_mul.mantissa & cutoff_mask); |
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| | | + st_mul.mantissa = -exp_diff >= 64 ? 0 : (st_mul.mantissa >> -exp_diff); |
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| | | + } |
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| | | + |
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| | | + struct fp st_fma; |
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| | | + st_fma.sign = st_mul.sign; |
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| | | + st_fma.exponent = max(st_mul.exponent, st_c.exponent); |
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| | | + if (st_c.sign == st_mul.sign) { |
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| | | + st_fma.mantissa = st_mul.mantissa + st_c.mantissa; |
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| | | + } else { |
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| | | + // cutoff bits borrow one |
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| | | + st_fma.mantissa = st_mul.mantissa - st_c.mantissa - (cutoff_bits && (st_mul.exponent > st_c.exponent) ? 1 : 0); |
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| | | + } |
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| | | + |
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| | | + // underflow: st_c.sign != st_mul.sign, and magnitude switches the sign |
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| | | + if (st_fma.mantissa > LONG_MAX) { |
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| | | + st_fma.mantissa = 0 - st_fma.mantissa; |
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| | | + st_fma.sign = st_mul.sign ^ 0x80000000; |
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| | | + } |
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| | | + |
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| | | + // detect overflow/underflow |
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| | | + int overflow_bits = 3 - clz(st_fma.mantissa); |
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| | | + |
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| | | + // adjust exponent |
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| | | + st_fma.exponent += overflow_bits; |
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| | | + |
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| | | + // handle underflow |
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| | | + if (overflow_bits < 0) { |
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| | | + st_fma.mantissa <<= -overflow_bits; |
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| | | + overflow_bits = 0; |
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| | | + } |
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| | | + |
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| | | + // rounding |
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| | | + ulong trunc_mask = (1ul << (C_ADJUST + overflow_bits)) - 1; |
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| | | + ulong trunc_bits = (st_fma.mantissa & trunc_mask) | (cutoff_bits != 0); |
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| | | + ulong last_bit = st_fma.mantissa & (1ul << (C_ADJUST + overflow_bits)); |
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| | | + ulong grs_bits = (0x4ul << (C_ADJUST - 3 + overflow_bits)); |
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| | | + |
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| | | + // round to nearest even |
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| | | + if ((trunc_bits > grs_bits) || |
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| | | + (trunc_bits == grs_bits && last_bit != 0)) |
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| | | + st_fma.mantissa += (1ul << (C_ADJUST + overflow_bits)); |
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| | | + |
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| | | + // Shift mantissa back to bit 23 |
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| | | + st_fma.mantissa = (st_fma.mantissa >> (C_ADJUST + overflow_bits)); |
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| | | + |
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| | | + // Detect rounding overflow |
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| | | + if (st_fma.mantissa > 0xffffff) { |
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| | | + ++st_fma.exponent; |
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| | | + st_fma.mantissa >>= 1; |
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| | | + } |
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| | | + |
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| | | + if (st_fma.mantissa == 0) |
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| | | + return .0f; |
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| | | + |
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| | | + // Flating point range limit |
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| | | + if (st_fma.exponent > 127) |
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| | | + return as_float(as_uint(INFINITY) | st_fma.sign); |
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| | | + |
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| | | + // Flush denormals |
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| | | + if (st_fma.exponent <= -127) |
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| | | + return as_float(st_fma.sign); |
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| | | + |
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| | | + return as_float(st_fma.sign | ((st_fma.exponent + 127) << 23) | ((uint)st_fma.mantissa & 0x7fffff)); |
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| | | +} |
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| | | +_CLC_TERNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_sw_fma, float, float, float) |
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