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pimPerfEnergyAquabolt.cpp
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// File: pimPerfEnergyAquabolt.cc
// PIMeval Simulator - Performance Energy Models
// Copyright (c) 2024 University of Virginia
// This file is licensed under the MIT License.
// See the LICENSE file in the root of this repository for more details.
#include "pimPerfEnergyAquabolt.h"
#include "pimCmd.h"
#include <cstdio>
#include <cmath>
// Aquabolt adds a SIMD FPU shared between two banks, with only one bank accessing it at a time.
// The supported FPU instructions are: ADD, MUL, MAC, and RELU. However, RELU is currently not implemented in the simulator.
// This model assumes that each FPU operation (ADD, MUL, MAC, or RELU) takes `tCCD_L` cycles to execute.
// Additionally, for simplicity, the SIMD lane width is assumed to be determined by the GDL width of the HBM/DDR memory.
// This analytical model has been validated against the Aquabolt for vector addition and multiplication using a 100M-element vector of 16-bit integers.
// The model demonstrates a 1.5x speedup compared to the original Aquabolt.
// NOTE: The energy model is approximated.
//! @brief Perf energy model of aquabolt PIM for func1
pimeval::perfEnergy
pimPerfEnergyAquabolt::getPerfEnergyForFunc1(PimCmdEnum cmdType, const pimObjInfo& obj, const pimObjInfo& objDest) const
{
double msRuntime = 0.0;
double mjEnergy = 0.0;
double msRead = 0.0;
double msWrite = 0.0;
double msCompute = 0.0;
unsigned numPass = obj.getMaxNumRegionsPerCore();
unsigned bitsPerElement = obj.getBitsPerElement(PimBitWidth::ACTUAL);
unsigned numCores = obj.getNumCoreAvailable();
unsigned maxElementsPerRegion = obj.getMaxElementsPerRegion();
unsigned numberOfOperationPerElement = std::ceil(bitsPerElement * 1.0 / m_aquaboltFPUBitWidth);
unsigned elementsPerCore = std::ceil(obj.getNumElements() * 1.0 / numCores);
unsigned minElementPerRegion = elementsPerCore > maxElementsPerRegion ? elementsPerCore - (maxElementsPerRegion * (numPass - 1)) : elementsPerCore;
unsigned maxGDLItr = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
unsigned minGDLItr = std::ceil(minElementPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
double aquaboltCoreCycle = m_tGDL;
unsigned numActPre = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / (16 * 256));
uint64_t totalOp = 0;
unsigned numBankPerChip = numCores / m_numChipsPerRank;
switch (cmdType)
{
// Refer to Aquabolt Paper (Table 2, Figure 5). OP Format: GRF = BANK +/* SRF
// Aquabolt has 16 16-bit vector registers (GRF) per PIM core.
// As a result, depending on the bitsPerElement and columns per bank row, same row may be opened multiple times -- this is calculated as numActPre.
case PimCmdEnum::ADD_SCALAR:
case PimCmdEnum::MUL_SCALAR:
{
msRead = (m_tACT + m_tPRE) * numPass * numActPre;
msWrite = (m_tACT + m_tPRE) * numPass * numActPre;
msCompute = (minGDLItr * aquaboltCoreCycle * numberOfOperationPerElement) + ((maxGDLItr * aquaboltCoreCycle * numberOfOperationPerElement) * (numPass - 1));
msRuntime = msRead + msWrite + msCompute;
mjEnergy = ((m_eACT + m_ePRE) * numActPre * 2 + (maxElementsPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement)) * numCores * (numPass - 1);
mjEnergy += ((m_eACT + m_ePRE) * numActPre * 2 + (minElementPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement)) * numCores;
mjEnergy += (m_eR * maxGDLItr * (numPass-1) * numBankPerChip * m_numRanks + (m_eR * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += (m_eW * maxGDLItr * (numPass-1) * numBankPerChip * m_numRanks + (m_eW * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += m_pBChip * m_numChipsPerRank * m_numRanks * msRuntime;
totalOp = obj.getNumElements();
break;
}
case PimCmdEnum::AES_SBOX:
case PimCmdEnum::AES_INVERSE_SBOX:
case PimCmdEnum::POPCOUNT:
case PimCmdEnum::ABS:
case PimCmdEnum::SUB_SCALAR:
case PimCmdEnum::DIV_SCALAR:
case PimCmdEnum::AND_SCALAR:
case PimCmdEnum::OR_SCALAR:
case PimCmdEnum::XOR_SCALAR:
case PimCmdEnum::XNOR_SCALAR:
case PimCmdEnum::GT_SCALAR:
case PimCmdEnum::LT_SCALAR:
case PimCmdEnum::EQ_SCALAR:
case PimCmdEnum::NE_SCALAR:
case PimCmdEnum::MIN_SCALAR:
case PimCmdEnum::MAX_SCALAR:
case PimCmdEnum::SHIFT_BITS_L:
case PimCmdEnum::SHIFT_BITS_R:
default:
printf("PIM-Warning: Perf energy model not available for PIM command %s\n", pimCmd::getName(cmdType, "").c_str());
break;
}
return pimeval::perfEnergy(msRuntime, mjEnergy, msRead, msWrite, msCompute, totalOp);
}
//! @brief Perf energy model of aquabolt PIM for func2
pimeval::perfEnergy
pimPerfEnergyAquabolt::getPerfEnergyForFunc2(PimCmdEnum cmdType, const pimObjInfo& obj, const pimObjInfo& objSrc2, const pimObjInfo& objDest) const
{
double msRuntime = 0.0;
double mjEnergy = 0.0;
double msRead = 0.0;
double msWrite = 0.0;
double msCompute = 0.0;
unsigned numPass = obj.getMaxNumRegionsPerCore();
unsigned bitsPerElement = obj.getBitsPerElement(PimBitWidth::ACTUAL);
unsigned numCoresUsed = obj.getNumCoreAvailable();
unsigned maxElementsPerRegion = obj.getMaxElementsPerRegion();
unsigned elementsPerCore = std::ceil(obj.getNumElements() * 1.0 / numCoresUsed);
unsigned minElementPerRegion = elementsPerCore > maxElementsPerRegion ? elementsPerCore - (maxElementsPerRegion * (numPass - 1)) : elementsPerCore;
unsigned maxGDLItr = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
unsigned minGDLItr = std::ceil(minElementPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
double aquaboltCoreCycle = m_tGDL;
unsigned numActPre = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / (8 * 256));
uint64_t totalOp = 0;
unsigned numBankPerChip = numCoresUsed / m_numChipsPerRank;
switch (cmdType)
{
// Refer to Aquabolt Paper (Table 2, Figure 5). OP Format: GRF = BANK +/* GRF
case PimCmdEnum::ADD:
case PimCmdEnum::MUL:
{
unsigned numberOfOperationPerElement = std::ceil(bitsPerElement * 1.0 / m_aquaboltFPUBitWidth);
msRead = (2 * (m_tACT + m_tPRE) * numPass * numActPre) + (maxGDLItr * m_tGDL * (numPass - 1)) + (minGDLItr * m_tGDL);
msWrite = ((m_tACT + m_tPRE) * numPass * numActPre) + (maxGDLItr * m_tGDL * (numPass - 1)) + (minGDLItr * m_tGDL);
msCompute = (maxGDLItr * numberOfOperationPerElement * aquaboltCoreCycle) * (numPass - 1);
msCompute += (minGDLItr * numberOfOperationPerElement * aquaboltCoreCycle);
msRuntime = msRead + msWrite + msCompute;
mjEnergy = (((m_eACT + m_ePRE) * 3 * numActPre) + ((maxElementsPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement))) * numCoresUsed * (numPass - 1);
mjEnergy += (((m_eACT + m_ePRE) * 3 * numActPre) + ((minElementPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement))) * numCoresUsed;
mjEnergy += (m_eR * maxGDLItr * 2 * (numPass-1) * numBankPerChip * m_numRanks + (m_eR * 2 * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += (m_eW * maxGDLItr * (numPass-1) * numBankPerChip * m_numRanks + (m_eW * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += m_pBChip * m_numChipsPerRank * m_numRanks * msRuntime;
totalOp = obj.getNumElements();
break;
}
case PimCmdEnum::SCALED_ADD:
{
/**
* Performs a multiply-add operation on rows in DRAM.
*
* This command executes the following steps:
* 1. Multiply the elements of a source row by a scalar value.
* 2. Add the result of the multiplication to the elements of another row.
* 3. Write the final result back to a row in DRAM.
*
* Performance Optimizations:
* - While performing the multiplication, the next row to be added can be fetched without any additional overhead.
* - During the addition, the next row to be multiplied can be fetched concurrently.
*
* As a result, only one read operation is necessary for the entire pass.
*/
// OP Format: GRF = BANK * SRF; GRF = BANK + GRF
unsigned numberOfOperationPerElement = std::ceil(bitsPerElement * 1.0 / m_aquaboltFPUBitWidth) * 2; // multiplying by 2 as one addition and one multiplication is needed
msRead = (m_tACT + m_tPRE) * numPass * numActPre * 2;
msWrite = (m_tACT + m_tPRE) * numPass * numActPre + (maxGDLItr * m_tGDL * (numPass - 1)) + (minGDLItr * m_tGDL);
msCompute = (maxGDLItr * aquaboltCoreCycle * numberOfOperationPerElement) * (numPass - 1);
msCompute += (minGDLItr * aquaboltCoreCycle * numberOfOperationPerElement);
msRuntime = msRead + msWrite + msCompute;
mjEnergy = (((m_eACT + m_ePRE) * 3 * numActPre) + ((maxElementsPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement))) * numCoresUsed * (numPass - 1);
mjEnergy += (((m_eACT + m_ePRE) * 3 * numActPre) + ((minElementPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement))) * numCoresUsed;
mjEnergy += (m_eR * maxGDLItr * 2 * (numPass-1) * numBankPerChip * m_numRanks + (m_eR * 2 * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += (m_eW * maxGDLItr * (numPass-1) * numBankPerChip * m_numRanks + (m_eW * minGDLItr * numBankPerChip * m_numRanks));
mjEnergy += m_pBChip * m_numChipsPerRank * m_numRanks * msRuntime;
totalOp = obj.getNumElements() * 2;
break;
}
case PimCmdEnum::DIV:
case PimCmdEnum::SUB:
case PimCmdEnum::AND:
case PimCmdEnum::OR:
case PimCmdEnum::XOR:
case PimCmdEnum::XNOR:
case PimCmdEnum::GT:
case PimCmdEnum::LT:
case PimCmdEnum::EQ:
case PimCmdEnum::NE:
case PimCmdEnum::MIN:
case PimCmdEnum::MAX:
default:
printf("PIM-Warning: Unsupported for Aquabolt: %s\n", pimCmd::getName(cmdType, "").c_str());
break;
}
return pimeval::perfEnergy(msRuntime, mjEnergy, msRead, msWrite, msCompute, totalOp);
}
//! @brief Perf energy model of aquabolt PIM for reduction sum
pimeval::perfEnergy
pimPerfEnergyAquabolt::getPerfEnergyForReduction(PimCmdEnum cmdType, const pimObjInfo& obj, unsigned numPass) const
{
double msRuntime = 0.0;
double mjEnergy = 0.0;
double msRead = 0.0;
double msWrite = 0.0;
double msCompute = 0.0;
unsigned bitsPerElement = obj.getBitsPerElement(PimBitWidth::ACTUAL);
unsigned maxElementsPerRegion = obj.getMaxElementsPerRegion();
unsigned numCore = obj.getNumCoreAvailable();
double cpuTDP = 200; // W; AMD EPYC 9124 16 core
unsigned elementsPerCore = std::ceil(obj.getNumElements() * 1.0 / numCore);
unsigned minElementPerRegion = elementsPerCore > maxElementsPerRegion ? elementsPerCore - (maxElementsPerRegion * (numPass - 1)) : elementsPerCore;
unsigned maxGDLItr = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
unsigned minGDLItr = std::ceil(minElementPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
unsigned numberOfOperationPerElement = std::ceil(bitsPerElement * 1.0 / m_aquaboltFPUBitWidth);
double aquaboltCoreCycle = m_tGDL;
uint64_t totalOp = 0;
switch (cmdType) {
case PimCmdEnum::REDSUM:
case PimCmdEnum::REDSUM_RANGE:
{
msRead = (m_tR * numPass) + m_tGDL * numPass;
msCompute = (maxGDLItr * aquaboltCoreCycle * numberOfOperationPerElement) * (numPass - 1);
msCompute += (m_tR + (minGDLItr * aquaboltCoreCycle * numberOfOperationPerElement));
msRuntime = msRead + msWrite + msCompute;
// Refer to fulcrum documentation
mjEnergy = (m_eAP + ((m_eR * maxGDLItr) + (maxElementsPerRegion * m_aquaboltArithmeticEnergy * numberOfOperationPerElement))) * numPass * numCore;
// reduction for all regions
double aggregateMs = static_cast<double>(numCore) / (3200000 * 16);
msRuntime += aggregateMs;
mjEnergy += aggregateMs * cpuTDP;
mjEnergy += m_pBChip * m_numChipsPerRank * m_numRanks * msRuntime;
totalOp = obj.getNumElements();
break;
}
case PimCmdEnum::REDMIN:
case PimCmdEnum::REDMIN_RANGE:
case PimCmdEnum::REDMAX:
case PimCmdEnum::REDMAX_RANGE:
default:
printf("PIM-Warning: Unsupported for Aquabolt: %s\n", pimCmd::getName(cmdType, "").c_str());
break;
}
return pimeval::perfEnergy(msRuntime, mjEnergy, msRead, msWrite, msCompute, totalOp);
}
//! @brief Perf energy model of aquabolt PIM for broadcast
pimeval::perfEnergy
pimPerfEnergyAquabolt::getPerfEnergyForBroadcast(PimCmdEnum cmdType, const pimObjInfo& obj) const
{
double msRuntime = 0.0;
double mjEnergy = 0.0;
double msRead = 0.0;
double msWrite = 0.0;
double msCompute = 0.0;
unsigned numPass = obj.getMaxNumRegionsPerCore();
unsigned bitsPerElement = obj.getBitsPerElement(PimBitWidth::ACTUAL);
unsigned maxElementsPerRegion = obj.getMaxElementsPerRegion();
unsigned numCore = obj.getNumCoreAvailable();
uint64_t totalOp = 0;
unsigned elementsPerCore = std::ceil(obj.getNumElements() * 1.0 / numCore);
unsigned minElementPerRegion = elementsPerCore > maxElementsPerRegion ? elementsPerCore - (maxElementsPerRegion * (numPass - 1)) : elementsPerCore;
unsigned maxGDLItr = std::ceil(maxElementsPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
unsigned minGDLItr = std::ceil(minElementPerRegion * bitsPerElement * 1.0 / m_GDLWidth);
msWrite = (m_tW + maxGDLItr * m_tGDL) * (numPass - 1);
msWrite += (m_tW + minGDLItr * m_tGDL);
msRuntime = msRead + msWrite + msCompute;
mjEnergy = (m_eAP + m_eR * maxGDLItr) * (numPass - 1) * numCore;
mjEnergy += (m_eAP + m_eR * minGDLItr) * numCore;
mjEnergy += m_pBChip * m_numChipsPerRank * m_numRanks * msRuntime;
return pimeval::perfEnergy(msRuntime, mjEnergy, msRead, msWrite, msCompute, totalOp);
}
//! @brief Perf energy model of aquabolt PIM for rotate
pimeval::perfEnergy
pimPerfEnergyAquabolt::getPerfEnergyForRotate(PimCmdEnum cmdType, const pimObjInfo& obj, bool useCrossRegionCommunication) const
{
double msRuntime = 0.0;
double mjEnergy = 0.0;
double msRead = 0.0;
double msWrite = 0.0;
double msCompute = 0.0;
uint64_t totalOp = 0;
printf("PIM-Warning: Unsupported for Aquabolt: %s\n", pimCmd::getName(cmdType, "").c_str());
return pimeval::perfEnergy(msRuntime, mjEnergy, msRead, msWrite, msCompute, totalOp);
}