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nvidia--tensorrt/plugin/common/reducedMathPlugin.cpp
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chore: import upstream snapshot with attribution
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/*
* SPDX-FileCopyrightText: Copyright (c) 1993-2025 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include <cstdint>
namespace nvinfer1::plugin::detail
{
// Count leading zeros - start from most significant bit.
int32_t clz(int32_t x)
{
for (int32_t i = 31; i >= 0; --i)
{
if ((1U << i) & x)
{
return 31 - i;
}
}
return 32;
}
#define CUDNN_IS_POW_2(x) (0 == ((x) & ((x) -1)))
int32_t find_log_2(int32_t x, bool round_up = false)
{
int32_t a = 31 - clz(x);
if (round_up)
{
a += !CUDNN_IS_POW_2(x);
}
return a;
}
void findDivisor(int32_t denom, uint32_t& mul_coeff, uint32_t& shift_coeff)
{
if (denom == 0)
{
return;
}
if (denom == 1)
{
// if dividing by 1, reduced math doesn't work because mul_coeff would
// need to be 2^32, which doesn't fit into uint32_t. the div()
// routine handles this special case separately.
mul_coeff = 0;
shift_coeff = 0;
return;
}
// To express the division N/D in terms of a multiplication, what we first
// imagine is simply N*(1/D). However, 1/D will always evaluate to 0 (for D>1),
// so we need another way. There's nothing that says we have to use exactly
// the fraction 1/D; instead it could be any X/Y that reduces to 1/D (i.e.,
// Y=X*D), or at least to "close enough" to it. If we pick Y that is a power
// of two, then the N*(X/Y) can be N*X followed by a right-shift by some amount.
// The power of two we should pick should be at least 2^32, because in the
// div() routine we'll use umulhi(), which returns only the upper 32 bits --
// this being equivalent to a right-shift by 32. But we might want a higher
// power of two for better accuracy depending on the magnitude of the denominator.
// Once we've picked Y, then X [our mul_coeff value] is simply Y/D, rounding up,
// and we save shift_coeff as whatever further shift we have to do beyond
// what the umulhi() implies.
uint32_t p = 31 + find_log_2(denom, true);
uint32_t m = ((1ULL << p) + (uint32_t) denom - 1) / (uint32_t) denom;
mul_coeff = m;
shift_coeff = p - 32;
}
} // namespace nvinfer1::plugin::detail