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AMD x86 Fast Conversion of Signed Words to Floating-Point, Use MMX Pxor to Negate 3DNow! Data

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22007E/0 — November 1999

AMD Athlon™ Processor x86 Code Optimization

Fast Conversion of Signed Words to Floating-Point

In many applications there is a need to quickly convert data consisting of packed 16-bit signed integers into floating-point numbers. The following two examples show how this can be accomplished efficiently on AMD processors.

The first example shows how to do the conversion on a processor that supports AMD ’s 3DNow! extensions, such as the AMD Athlon processor. It demonstrates the increased efficiency from using the PI2FW instruction. Use of this instruction should only be for AMD Athlon processor specific code. See the AMD Extensions to the 3DNow!™ and MMX™ Instruction Set Manual, order #22466 for more information on this instruction.

The second example demonstrates how to accomplish the same task in blended code that achieves good performance on the AMD Athlon processor as well as on the AMD-K6 family processors that support 3DNow! technology.

Example 1 (AMD Athlon specific code using 3DNow! DSP extension):

MOVD	MM0, [packed_sword]		;0	0		b	a
PUNPCKLWD	MM0,	MM0	;b	b		a	a
PI2FW	MM0,	MM0	;xb=float(b) xa=float(a)
MOVQ	[packed_float], MM0		;store			xb xa

Example 2 (AMD-K6 Family and AMD Athlon processor blended code):

MOVD	MM1, [packed_sword]	;0 0		b a
PXOR	MM0, MM0	;0 0		0 0
PUNPCKLWD	MM0, MM1	;b 0		a 0
PSRAD	MM0, 16	;sign extend: b a
PI2FD	MM0, MM0	;xb=float(b) xa=float(a)
MOVQ	[packed_float], MM0	;store		xb xa

Use MMX™ PXOR to Negate 3DNow!™ Data

For both the AMD Athlon and AMD-K6 processors, it is recommended that code use the MMX PXOR instruction to change the sign bit of 3DNow! operations instead of the 3DNow! PFMUL instruction. On the AMD Athlon processor, using PXOR allows for more parallelism, as it can execute in either the FADD or FMUL pipes. PXOR has an execution latency of two, but because it is a MMX instruction, there is an initial one

Fast Conversion of Signed Words to Floating-Point

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AMD x86 manual Fast Conversion of Signed Words to Floating-Point, Use MMX Pxor to Negate 3DNow! Data

Contents

AMD AthlonTM Processor Trademarks Contents Instruction Decoding Optimizations Cache and Memory Optimizations Scheduling Optimizations Floating-Point Optimizations General x86 Optimization Guidelines 127 Appendix B Pipeline and Execution Unit Resources Overview Appendix E Programming the Mtrr and PAT List of Figures Xii List of Tables Xiv Revision History Xvi About this Document IntroductionSource Level Optimizations. Describes optimizations that AMD Athlon Processor Family AMD Athlon Processor Microarchitecture Summary AMD Athlon Processor Microarchitecture Summary AMD Athlon Processor x86 Code Optimization Top Optimizations Optimization Star Memory Size and Alignment IssuesGroup I Optimizations Essential Optimizations Use the 3DNow! Prefetch and Prefetchw InstructionsSelect DirectPath Over VectorPath Instructions Group II Optimizations-Secondary OptimizationsLoad-Execute Instruction Usage Use Load-Execute InstructionsTake Advantage of Write Combining Use 3DNow! InstructionsAvoid Branches Dependent on Random Data Avoid Placing Code and Data in the Same 64-Byte Cache Line 22007E/0 November Use 32-Bit Data Types for Integer Code Source Level OptimizationsConsider the Sign of Integer Operands Example 1 AvoidExample Preferred Example Avoid Use Array Style Instead of Pointer Style CodeUse unsigned types for Use signed types forVertex Example 2 Preferred Avoid Unnecessary Store-to-Load Dependencies Completely Unroll Small LoopsAvoid Unnecessary Store-to-Load Dependencies Consider Expression Order in Compound Branch Conditions Switch Statement Usage Optimize Switch StatementsUse Prototypes for All Functions Use Const Type Qualifier Generic Loop HoistingExample Generalization for Multiple Constant Control Code Declare Local Functions as Static Introduce Explicit Parallelism into Code Dynamic Memory Allocation ConsiderationExplicitly Extract Common Subexpressions Example Language Structure Component ConsiderationsAvoid PreferredSort Local Variables According to Base Type Size Original ordering AvoidNew ordering, with padding Preferred Improved ordering Preferred Accelerating Floating-Point Divides and Square RootsAccelerating Floating-Point Divides and Square Roots Avoid Unnecessary Integer Division AMD Athlon Processor x86 Code Optimization Overview Instruction Decoding OptimizationsSelect DirectPath Over VectorPath Instructions Load-Execute Instruction UsageUse Load-Execute Integer Instructions TOP Use Short Instruction Lengths Align Branch Targets in Program Hot SpotsExample 2 Avoid Avoid Partial Register Reads and WritesReplace Certain Shld Instructions with Alternative Code Use 8-Bit Sign-Extended ImmediatesCode Padding Using Neutral Code Fillers Use 8-Bit Sign-Extended DisplacementsRecommendations for the AMD Athlon Processor Code Padding Using Neutral Code Fillers AMD Athlon Processor x86 Code Optimization NOP6EDI AMD Athlon Processor x86 Code Optimization Memory Size and Alignment Issues Cache and Memory OptimizationsAvoid Memory Size Mismatches Use the 3DNow! Prefetch and Prefetchw Instructions Align Data Where PossibleCode Example Multiple PrefetchesMOV ECX, -LARGENUM Prefetch Distance = 200 DS/C bytes Determining Prefetch DistanceAvoid Placing Code and Data in the Same 64-Byte Cache Line Take Advantage of Write CombiningStore-to-Load Forwarding Pitfalls -True Dependencies Store-to-Load Forwarding RestrictionsExample 4 Avoid Example 3 AvoidExample 5 Preferred Example 6 AvoidExample 7 Avoid Summary of Store-to-Load Forwarding Pitfalls to Avoid Stack Alignment ConsiderationsAlign Tbyte Variables on Quadword Aligned Addresses Sort Variables According to Base Type Size Avoid Branches Dependent on Random Data Branch OptimizationsBlended AMD-K6and AMD Athlon Processor Code AMD Athlon Processor Specific CodeAlways Pair Call and Return Example 6 Increment Ring Buffer OffsetExample 7 Integer Signum Function Muxing Constructs Replace Branches with Computation in 3DNow! CodeSample Code Translated into 3DNow! Code Code3DNow! code MM5 Pfsub Psrad Avoid Far Control Transfer Instructions Avoid the Loop InstructionAvoid Recursive Functions Schedule Instructions According to their Latency Scheduling OptimizationsUnrolling Loops Complete Loop UnrollingPartial Loop Unrolling With Partial Loop Unrolling Without Loop UnrollingControl For Partially Deriving LoopUnrolled Loops Example 1 rolled loopOverview Use Function InliningAlways Inline Functions if Called from One Site Avoid Address Generation InterlocksMinimize Pointer Arithmetic in Loops Use Movzx and MovsxMOV ECX, Maxsize Example 3 Preferred Push Memory Data CarefullyPush Memory Data Carefully Integer Optimizations Replace Divides with MultipliesMultiplication by Reciprocal Division Utility Unsigned Division by Multiplication of Constant Signed Division by Multiplication of Constant Simpler Code forRestricted Dividend Signed Division By 2n Signed Division ByRemainder of Signed Integer 2 orInteger 2n or -2n Use Alternative Code When Multiplying by a ConstantADD REG1, REG1 REG1, REG2 SHL Use MMX Instructions for Integer-Only Work Repeated String Instruction Usage Latency of Repeated String InstructionsGuidelines for Repeated String Instructions Ensure DF=0 UP Using MovqAlign Source Destination withEfficient 64-Bit Integer Arithmetic Use XOR Instruction to Clear Integer RegistersExample 4 Left shift Example 5 Right shiftExample 6 Multiplication EBX, ESP+12 Dividendlo Example 7 DivisionExample 8 Remainder SHR EDX Step Efficient Implementation of Population Count FunctionBit field. Thus the following computation is performed MOV EDX, EDX SHR Derivation of Multiplier Used for Integer Division by Utility sdiv.exe was compiled using the following code MOV ECX EDX Imul ADD SHR SAR Floating-Point Optimizations Ensure All FPU Data is AlignedUse Multiplies Rather than Divides Use Ffreep Macro to Pop One Register from the FPU Stack Floating-Point Compare InstructionsUse the Fxch Instruction Rather than FST/FLD Pairs Avoid Using Extended-Precision DataExample 1 Fast Minimize Floating-Point-to-Integer ConversionsExample 2 Potentially faster Example 4 Fastest Example 3 Potentially fasterFloating-Point Subexpression Elimination 104 Take Advantage of the Fsincos Instruction 106 3DNow! and MMX Optimizations Use 3DNow! InstructionsUse Femms Instruction Use 3DNow! Instructions for Fast Division Optimized 14-Bit Precision DivideOptimized Full 24-Bit Precision Divide Newton-Raphson Reciprocal Pipelined Pair of 24-Bit Precision DividesOptimized 24-Bit Precision Square Root Optimized 15-Bit Precision Square RootNewton-Raphson Reciprocal Square Root AMD Athlon 3DNow! and MMX Intra-Operand SwappingSpecific Code Blended CodeUse MMX Pxor to Negate 3DNow! Data Fast Conversion of Signed Words to Floating-PointBoth Numbers Use MMX Pcmp Instead of 3DNow! PfcmpPositive One Negative, One PositiveAMD-K6and AMD Athlon Processor Blended Code Use MMX Instructions for Block Copies and Block Fills116 Processor Specific Use MMX Pxor to Clear All Bits in an MMX Register Use MMX Pcmpeqd to Set All Bits in an MMX Register Optimized Matrix MultiplicationMOV EBX, RES Optimized Matrix Multiplication 121 Data Use 3DNow! Pavgusb for MPEG-2 Motion Compensation MM0=QWORD1 Stream of Packed Unsigned Bytes Complex Number Arithmetic Short Forms General x86 Optimization GuidelinesDependencies Register OperandsStack Allocation Introduction AMD Athlon Processor MicroarchitectureSuperscalar Processor AMD Athlon Processor MicroarchitectureAMD Athlon Processor Microarchitecture 131 Branch Prediction PredecodeEarly Decoding Data Cache Instruction Control UnitInteger Execution Unit Integer SchedulerFloating-Point Scheduler 12 to Floating-Point Execution UnitLoad/Store Unit Load-Store Unit LSUL2 Cache Controller Write CombiningAMD Athlon System Bus 140 AMD Athlon Processor Microarchitecture Fetch and Decode Pipeline Stages Pipeline and Execution Unit Resources OverviewC T L R O M Cycle 2-SCAN Cycle 1-FETCHCycle 3 DirectPath Cycle 3 VectorPathInteger Pipeline Stages Integer Pipeline StagesCycle 8-EXEC Cycle 7-SCHEDCycle 9-ADDGEN Cycle 10 -DCACCFloating-Point Pipeline Stages Floating-Point Pipeline StagesCycle 8-REGREN Cycle 7-STKRENCycle 9-SCHEDW Cycle 10 -SCHEDTerminology Execution Unit ResourcesOperands ResultsInteger Pipeline Operations Integer Pipeline Operation TypesInteger Decode Types Floating-Point Pipeline Operations Floating-Point Pipeline Operation TypesFloating-Point Decode Types Load/Store Pipeline Operations Load/Store Unit StagesStage 1 Cycle Stage 2 Cycle Stage 3 Cycle Code Sample Analysis Imul EAX, ECX INC ESI MOV ADD EDI, EBX SHLINC EBX ADD ESI, EDX Sample 2 Integer Register and Memory Load Operations DEC EDX MOV EDI, ECX SUBSAR Implementation Write Combining Appendix CWhat is Write Combining? Write-Combining Definitions and AbbreviationsProgramming Details Write-Combining Operations INIT, Halt Write Combining Completion EventsSending Write-Buffer Data to the System AMD Athlon System Bus Commands Generation Rules160 Write-Combining Operations Performance Counter Usage Performance-Monitoring CountersPerfEvtSel30 Registers PerfEvtSel30 MSRs MSR Addresses C0010000h-C0010003hPerformance Counter Usage 163 Performance-Monitoring Counters 73h 65hSnoop hits 74hWaited to use the L2 Event Source Event DescriptionInstruction cache fetches Instruction cache missesPerfCtr30 MSRs MSR Addresses C0010004h-C0010007h Starting and Stopping the Performance-Monitoring Counters Event and Time-Stamp Monitoring SoftwareMonitoring Counter Overflow 170 Monitoring Counter Overflow Memory Type Range Register Mtrr Mechanism Programming the Mtrr172 Memory Type Range Register Mtrr Mechanism Fixed Ranges FFFFFFFFh100000h Kbytes each Fixed Ranges C0000h 80000h Memory Type Encodings Memory TypesMtrr Capability Register FormatMemory Type Range Register Mtrr Mechanism 175 Standard Mtrr Types and Properties Attribute Table MSR 277h Attribute Table PATPATi 3-Bit Encodings PAT Entry Reset ValueMTRRs and PAT PATiPAT Memory Type Mtrr Memory Type Effective Memory Type Based on PAT and MTRRsInput Memory Type Final Output Memory TypesAttribute Table PAT 181 9FFFF 9BFFF 97FFF 93FFF 8FFFF 8BFFF 87FFF 83FFF 7FFFF 6FFFF 5FFFF 4FFFF 3FFFF 2FFFF 1FFFF 0FFFFBffff Bbfff B7FFF B3FFF Affff Abfff A7FFF A3FFF C7FFF C6FFF C5FFF C4FFF C3FFF C2FFF C1FFF C0FFFAttribute Table PAT 183 MTRRphysMaskn Register Format MTRR-Related Model-Specific Register MSR Map 186 Instruction Dispatch Execution Resources Appendix FAAA Integer InstructionsAAD AAMADC mreg8, reg8 ModR/M Decode ByteADC mem8, reg8 ADC mreg16/32, reg16/32Bswap EAX BoundBswap ECX Bswap EDXCLC CBW/CWDECLD CLICMOVE/CMOVZ reg16/32, mem16/32 0Fh CMOVE/CMOVZ reg16/32, reg16/32 0FhCMOVG/CMOVNLE reg16/32, reg16/32 0Fh CMOVG/CMOVNLE reg16/32, mem16/32 0FhCWD/CDQ CpuidDAA DASAL, DX EnterAX, DX EAX, DXInvlpg InvdLeave LahfLOOPNE/LOOPNZ disp8 E0h LOOPE/LOOPZ disp8 E1hLSL reg16/32, mreg16/32 0Fh 03h LSL reg16/32, mem16/32 0Fh 03hNOP Xchg EAX, EAX OUT DX, AX OUT DX, ALOUT DX, EAX POP ESPOP ESP POP EBXPOP EBP POP ESIRdmsr RdpmcRdtsc Sahf SBB mem16/32, reg16/32 SBB mreg16/32, reg16/32SBB reg8, mreg8 SBB reg8, mem8Sets mem8 Sets mreg8Setns mreg8 Setns mem8STC STDSTI Sysenter SyscallSysexit SysretXchg EAX, ECX Xchg EAX, EAXXchg EAX, EDX Xchg EAX, EBXEmms MMX InstructionsDFh Pandn mmreg1, mmreg2Pandn mmreg, mem64 Pcmpeqb mmreg1, mmreg2FADD/FMUL FPU MMX ExtensionsFloating-Point Instructions Fcompp FcosFdecstp Fincstp FinitFLD1 FLDL2T FLDL2EFLDLG2 FLDLN2Ftst Fstsw AXFucom FucompFemms DNow! InstructionsDNow! Extensions DirectPath Instructions DirectPath versus VectorPath InstructionsDirectPath Integer Instructions BT mreg16/32, reg16/32 BT mreg16/32, imm8 BT mem16/32, imm8CBW/CWDE CLC CMC INC mreg8 INC mem8 INC mreg16/32 INC mem16/32 JO short disp8 DEC mreg8 DEC mem8 DEC mreg16/32 DEC mem16/32222 DirectPath Instructions DirectPath Instructions 223 224 DirectPath Instructions Wait Xchg EAX, EAX 226 DirectPath Instructions DirectPath MMX Instructions DirectPath MMX Extensions Fcompp Fdecstp DirectPath Floating-Point InstructionsFist mem16int FLD1 FLDL2E FLDL2T FLDLG2 FLDLN2 Fldpi FldzFtst Fucom Fucomp Fucompp Fwait Fxch VectorPath Integer Instructions VectorPath InstructionsAAA AAD AAM AAS CLD CLI CltsAL, DX AX, DX EAX, DX Invd Invlpg Instruction Mnemonic DIV EAX, mem16/32Push mreg16/32 Push mem16/32 POP mreg 16/32 POP mem 16/32PUSHA/PUSHAD PUSHF/PUSHFD Rdmsr Rdpmc RdtscVectorPath MMX Extensions VectorPath MMX InstructionsSyscall Sysenter Sysexit Sysret Wbinvd WrmsrFptan Fpatan Frndint VectorPath Floating-Point InstructionsFscale Fsin Fsincos Fxam Fxtract FYL2X FYL2XP1236 Index 238 Index Index 239 240 Index