Exploiting On-chip Memory Bandwidth in the VIRAM Compiler
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Transcript of Exploiting On-chip Memory Bandwidth in the VIRAM Compiler
Slide 1
Exploiting On-chip Memory Bandwidth in the VIRAM
Compiler
Dave Judd, Katherine Yelick, Christoforos Kozyrakis, David Martin, and David Patterson
http://iram.cs.berkeley.edu/
Slide 2
IRAM Overview• A processor architecture for
embedded/portable systems running media applications– MIPS scalar core with vector co-processor– Embedded DRAM
MIPS64™5Kc Core
Instr Cache (8KB)
Data Cache (8KB)
CP
IFFPU
Vector Register File (8KB)
Flag Register File (512B)
Flag 0
Memory Unit
DMA256b
Memory Crossbar
256b
256b
64b
DRAM0
(2MB)
DRAM1
(2MB)
DRAM7
(2MB)
…
SysAD IF
64b
Arith 0 Arith 1
Flag 1
JTAG
JTAG IF
TLB
Slide 3
Why Vectors?• Utilizes on-chip bandwidth of IRAM
– parallelism within instructions• Efficient architecture for vectorizable code
– avoids area, power, and design of reorder logic
– low instruction decode overhead• Multimedia algorithms are vectorizable
– e.g., vectorize across pixels in an image• Scales easily across chip generations
– e.g., 32-way parallelism in instruction can be implemented by 1, 2, 4, 8-way
• Leverages well-known compiler technology
Slide 4
Architecture Details• MIPS64™ 5Kc core (200 MHz)
– Single-issue scalar core with 8 Kbyte I&D caches• Vector unit (200 MHz)
– 8 KByte register file (32 64b elements per register)– 256b datapaths, can be subdivided into 16b, 32b,
64b:» 2 arithmetic (1 FP, single), 2 flag processing
– Memory unit » 4 address generators for strided/indexed accesses
• Main memory system– 8 2-MByte DRAM macros
» 25ns random access time, 7.5ns page access time– Crossbar interconnect
» 12.8 GBytes/s peak bandwidth per direction (load/store)• Off-chip interface
– 2 channel DMA engine and 64n SysAD bus
Slide 5
Floorplan• Technology: IBM SA-27E
–0.18m CMOS, 6 metal layers • 290 mm2 die area
–225 mm2 for memory/logic• Transistor count: ~150M• Power supply
–1.2V for logic, 1.8V for DRAM• Typical power consumption: 2.0
W–0.5 W (scalar) + 1.0 W (vector) + 0.2 W (DRAM) + 0.3 W (misc)
• Peak vector performance–1.6/3.2/6.4 Gops wo. multiply-add (64b/32b/16b operations)–3.2/6.4 /12.8 Gops w. madd–1.6 Gflops (single-precision)
• Tape-out planned for Spring ‘01
14.5 mm
20.0
mm
Slide 6
Scalable Design 2 lanes, 4 MB1.6 Gops
4 lanes, 8 MB3.2 Gops (32-bit)
1 lane, 2 MB.8 Gops
• Scaling number of lanes for performance, energy, area
• Number of DRAM banks may scale independently–e.g., 16 banks rather than 8
Slide 7
Vector Architectural State
VP0 VP1 VPvl-1
vr0vr1
vr31
vpw
DataRegisters
Virtual Processors (vl)
• Number of VPs given by the Vector Length register vl• Width of each VP given by the register vpw
– vpw is one of {8b,16b,32b,64b}• Maximum vector length is given by a read-only register mvl
– mvl depends on implementation and vpw: {128,128,64,32} in VIRAM-1
Slide 8
VIRAM Compiler
• Based on the Cray’s production compiler • Challenges:
– narrow data types and scalar/vector memory consistency
• Advantages relative to media-extensions:– powerful addressing modes and ISA
independent of datapath width
Optimizer
C
Fortran95
C++
Frontends Code Generators
Cray’s
PDGCS
T3D/T3E
SV2/VIRAM
C90/T90/SV1
Slide 9
Compiler Challenges• Can compiled code effectively use VIRAM
design?
– Is on-chip DRAM bandwidth sufficient
– How well do multimedia applications vectorize
– Generating code for variable width data
Slide 10
Matrix-Vector Multiplication
• Vector matrix multiply (= mvm with column layout)– saxpy: 2 vloads, 1 vstore (all unit stride)
• Matrix vector multiply– dot: 2 vloads, (both unit stride + a reduction)– saxpy: 2 vloads, 1 vstore (2 strided + 1 unit)
• Sparse matrix-vector multiply– dot: 3 vloads (1 indexed, 2 unit + reduction)– saxpy: 3 vloads, 1 vstore (2 indexed, 2 unit)
» needs column layout
Source vector
Des
tina
tion
vec
tor
MatrixAssume row layout
Slide 11
Matrix Vector Multiplication• Performance of various source optimizations
mvm 128x128, single
0200400600800
10001200140016001800
MFL
OPS 1 lane
2 lane
4 lane
Column performance ~= peak
Slide 12
Comparison of MVM Performance
• Double precision floating point– compiled for VIRAM (note: chip only does
single)– hand- or Atlas-optimized for other machines
0
100
200
300
400
500
600
VIRAM4 row
VIRAM8 row
VIRAM4 col
VIRAM8 col
Sun Ultra I
Sun Ultra II
MIPS 12K
Alpha 21164
Alpha 21264
Alpha 21264 1K
Power PC 604e
Power 3 630
As matrix size increases, performance:
–drops on cache-based designs
– increases on vector designs
MFL
OPS
100x100 matrix
Slide 13
Sparse MVM Performance• Performance is matrix-dependent: lp matrix
– compiled for VIRAM using “independent” pragma» sparse column layout
– Sparsity-optimized for other machines» sparse row (or blocked row) layout
0
50
100
150
200
250
VIRAM4
VIRAM8
Sun Ultra I
MIPS 10K
Alpha21264
Power PC604e
MFL
OPS
Slide 14
Generating Code for Variable VPW
• Strategy: vectorizer determines minimum correct vpw for each loop nest– Vectorizer assumes vpw=64 initially– At end of vectorization, discard vectorized copy
of loop if greatest width encountered is less than 64 and start vectorization over with new vpw.
– Code gen checks vpw for each loop nest.• Limitation: a single loop nest will run at the speed
of the widest type. – Reason: simplicity & performance of the
common case– No attempt to split/combine loops based on
vpw
Slide 15
Media Benchmarks• Mostly from U Toronto’s benchmark suite• 8-bit data, 16-bit operations
– Colorspace: strided loads/stores– Composition: unit stride– Convolve: strided
• Mixed 16 and 32-bit integer– Detect – Decrypt
• 32-bit Floating point– FIR filter– SAXPY 64: 64 element– SAXPY 1K: 1024 element– matmul: matrix multiplication
Slide 16
Integer Benchmarks
• Strided access important, e.g., RGB– narrow types limited by address generation
• Outer loop vectorization and unrolling used– helps avoid short vectors– spilling can be a problem
• Tiling could probably help
01000200030004000500060007000
1 lane
2 lane
4 lane
Slide 17
Floating Point DSP Benchmarks
• Performance is competitive with hand-coding • Vector length is important (e.g., saxpy)
– but multiple vectors is fine (e.g., matmul)
0
500
1000
1500
2000
fir filter saxpy 64 saxpy 1K saxpy 8K matmul peak
1 lane
2 lane
4 lane
Slide 18
Conclusions• VIRAM ISA shows high performance on compiled
code– competitive with modern processors– limitations are address generation for strided
and indexed memory operations
• Compiler effectively uses variable width data– allows media applications to vectorize– performance scales with inverse data width
• Future compiler work– Tiling– Fixed point support– Better register allocation
Slide 19
Backup slides
Slide 20
Performance Summary• Performance of compiled code is generally good
– matmul and saxpy meet or beat hand-coded– 3 addressing modes very useful
• Limitations to performance– Dependencies or inadequate compiler analysis– Inadequate memory bandwidth– Lack of address generators– Short vectors
• Future compiler work– Tiling– Fixed point support– Better register allocation
Slide 21
Scaling Media Benchmarks
0
5001000
1500
2000
25003000
3500
40004500
5000
color
spac
e
compo
sition
conv
olve
detec
t
decry
pt
fir filt
er
saxp
y 64
saxp
y 1K
matmul
MO
PS
1 lane
2 lane
4 lane
8 lane
Slide 22
Compiled matrix-vector multiplication: 2 Flops/element• Easy compilation problem; stresses memory
bandwidth• Compare to 304 Mflops (64-bit) for Power3
(hand-coded)
0
100
200
300400
500
600
700800
900
MFL
OPS
mvm 32-bit,8 banks
mvm 32-bit,16 banks
mvm 64-bit,8 banks
mvm 64-bit,16 banks
1 lane2 lane4 lane8 lane
–Performance scales with number of lanes up to 4
–Need more memory banks than default DRAM macro for 8 lanes
Slide 23
Outline• Why vectors for IRAM?
– Including media types• The virtual lane model• Virtual processor width• Limitations to performance
– Dependencies or inadequate compiler analysis– Inadequate memory bandwidth– Lack of address generators– Short vectors
• Comparisons to other architectures• Conclusions
Slide 24
Matrix-Vector Multiply• Scaling Matrix-Vector Multiplication
Slide 25
Performance on Media Benchmarks
• Using compiled code: 1, 2, 4, and 8 lanes
Slide 26
Compiled matrix-vector multiplication: 2 Flops/element• Easy compilation problem; stresses memory
bandwidth• Compare to 304 Mflops (64-bit) for Power3
(hand-coded)
0
100
200
300
400
500
600
mvm 64-bit,8 banks
mvm 64-bit,16 banks
VIRAM
VIRAM,16banksColumn 3
Column 4
–Performance scales with number of lanes up to 4
–Need more memory banks than default DRAM macro for 8 lanes
MFL
OPS
Slide 27
Compiling Media Kernels on IRAM• The compiler generates code for narrow data widths,
e.g., 16-bit integer• Compilation model is simple, more scalable (across
generations) than MMX, VIS, etc.
0
500
1000
1500
2000
2500
3000
3500
MFL
OPS
colorspace composite FI R filter
1 lane2 lane4 lane8 lane
– Strided and indexed loads/stores simpler than pack/unpack
– Maximum vector length is longer than datapath width (256 bits); all lane scalings done with single executable
Slide 28
Vector Vs. SIMD: Example• Simple image processing example:
– conversion from RGB to YUV
Y = [( 9798*R + 19235*G + 3736*B) / 32768] U = [(-4784*R - 9437*G + 4221*B) / 32768] + 128 V = [(20218*R – 16941*G – 3277*B) / 32768] + 128
Slide 29
VIRAM Code (22 instructions)RGBtoYUV: vlds.u.b r_v, r_addr, stride3, addr_inc # load R vlds.u.b g_v, g_addr, stride3, addr_inc # load G vlds.u.b b_v, b_addr, stride3, addr_inc # load B xlmul.u.sv o1_v, t0_s, r_v # calculate Y xlmadd.u.sv o1_v, t1_s, g_v xlmadd.u.sv o1_v, t2_s, b_v vsra.vs o1_v, o1_v, s_s xlmul.u.sv o2_v, t3_s, r_v # calculate U xlmadd.u.sv o2_v, t4_s, g_v xlmadd.u.sv o2_v, t5_s, b_v vsra.vs o2_v, o2_v, s_s vadd.sv o2_v, a_s, o2_v xlmul.u.sv o3_v, t6_s, r_v # calculate V xlmadd.u.sv o3_v, t7_s, g_v xlmadd.u.sv o3_v, t8_s, b_v vsra.vs o3_v, o3_v, s_s vadd.sv o3_v, a_s, o3_v vsts.b o1_v, y_addr, stride3, addr_inc # store Y vsts.b o2_v, u_addr, stride3, addr_inc # store U vsts.b o3_v, v_addr, stride3, addr_inc # store V subu pix_s,pix_s, len_s bnez pix_s, RGBtoYUV
Slide 30
MMX Code (part 1)RGBtoYUV: movq mm1, [eax] pxor mm6, mm6 movq mm0, mm1 psrlq mm1, 16 punpcklbw mm0, ZEROS movq mm7, mm1 punpcklbw mm1, ZEROS movq mm2, mm0 pmaddwd mm0, YR0GR movq mm3, mm1 pmaddwd mm1, YBG0B movq mm4, mm2 pmaddwd mm2, UR0GR movq mm5, mm3 pmaddwd mm3, UBG0B punpckhbw mm7, mm6; pmaddwd mm4, VR0GR paddd mm0, mm1 pmaddwd mm5, VBG0B movq mm1, 8[eax] paddd mm2, mm3 movq mm6, mm1
paddd mm4, mm5 movq mm5, mm1 psllq mm1, 32 paddd mm1, mm7 punpckhbw mm6, ZEROS movq mm3, mm1 pmaddwd mm1, YR0GR movq mm7, mm5 pmaddwd mm5, YBG0B psrad mm0, 15 movq TEMP0, mm6 movq mm6, mm3 pmaddwd mm6, UR0GR psrad mm2, 15 paddd mm1, mm5 movq mm5, mm7 pmaddwd mm7, UBG0B psrad mm1, 15 pmaddwd mm3, VR0GR packssdw mm0, mm1 pmaddwd mm5, VBG0B psrad mm4, 15 movq mm1, 16[eax]
Slide 31
MMX Code (part 2) paddd mm6, mm7 movq mm7, mm1 psrad mm6, 15 paddd mm3, mm5 psllq mm7, 16 movq mm5, mm7 psrad mm3, 15 movq TEMPY, mm0 packssdw mm2, mm6 movq mm0, TEMP0 punpcklbw mm7, ZEROS movq mm6, mm0 movq TEMPU, mm2 psrlq mm0, 32 paddw mm7, mm0 movq mm2, mm6 pmaddwd mm2, YR0GR movq mm0, mm7 pmaddwd mm7, YBG0B packssdw mm4, mm3 add eax, 24 add edx, 8 movq TEMPV, mm4
movq mm4, mm6 pmaddwd mm6, UR0GR movq mm3, mm0 pmaddwd mm0, UBG0B paddd mm2, mm7 pmaddwd mm4, pxor mm7, mm7 pmaddwd mm3, VBG0B punpckhbw mm1, paddd mm0, mm6 movq mm6, mm1 pmaddwd mm6, YBG0B punpckhbw mm5, movq mm7, mm5 paddd mm3, mm4 pmaddwd mm5, YR0GR movq mm4, mm1 pmaddwd mm4, UBG0B psrad mm0, 15 paddd mm0, OFFSETW psrad mm2, 15 paddd mm6, mm5 movq mm5, mm7
Slide 32
MMX Code (pt. 3: 121 instructions) pmaddwd mm7, UR0GR psrad mm3, 15 pmaddwd mm1, VBG0B psrad mm6, 15 paddd mm4, OFFSETD packssdw mm2, mm6 pmaddwd mm5, VR0GR paddd mm7, mm4 psrad mm7, 15 movq mm6, TEMPY packssdw mm0, mm7 movq mm4, TEMPU packuswb mm6, mm2 movq mm7, OFFSETB paddd mm1, mm5 paddw mm4, mm7 psrad mm1, 15 movq [ebx], mm6 packuswb mm4, movq mm5, TEMPV packssdw mm3, mm4 paddw mm5, mm7 paddw mm3, mm7
movq [ecx], mm4 packuswb mm5, mm3 add ebx, 8 add ecx, 8 movq [edx], mm5 dec edi jnz RGBtoYUV
Slide 33
IRAM Status• Chip
– ISA has not changed significantly in over a year– Verilog complete, except SRAM for scalar cache– Testing framework in place
• Compiler– Backend code generation complete– Continued performance improvements, especially for
narrow data widths• Application & Benchmarks
– Handcoded kernels better than MMX,VIS, gp DSPs » DCT, FFT, MVM, convolution, image composition,…
– Compiled kernels demonstrate ISA advantages» MVM, sparse MVM, decrypt, image composition,…
– Full applications: H263 encoding (done), speech (underway)
Slide 34
Backup from Dave Judd’s Talk
Slide 35
VIRAM Tools• vas: assembler• vdis: disassembler• vsim-isa: simulator• vsim-db: debugger• vsim-p: performance simulator• vsim-sync:memory consistency simulator
Slide 36
Compiler Testing • C regression test suite (commercial test suite)
– Scalar emphasis, C conformance– All tests pass except:
» Small numerical differences due to lack on 128 f.p. support
• C++ test suite– 1167 of 1183 tests execute correctly.– 12 failures in compilation: “undefined
variables”– 4 failures in execution: bad answers
Slide 37
Compiler Testing• Vector regression test suites (CRAY)
– Specifically tests for vectorization– Compares vector and scalar results– Easy to isolate problems– “vector” status:
» 59 of 62 tests pass» Some minor numerical differences» 1 bad answer, 2 integer overflow
– “vector4” status» 163 of 165 tests execute correctly» 1 bad anwer, 1 illegal use of vector inst.
Slide 38
Kernel Performance: mvmmatrix-vector multiplication
Hand optimized assembly code
579 mflops
vcc w/ restrict keywords added
352 mflops
+ 1 element padding to avoid bank conflicts
401 mflops
+ shortloop directiveLoops interchanged & outer loop vectorized by vcc.
592 mflops
64x64, 32 bit floating pt.
Slide 39
Mods to mvm code
/* Original code mvm.c */ /* Modified code */ void mvm (float * A, void mvm (float * restrict A, float * X, float * restrict X, float * Y, float * restrict Y, int n, int n, int acol ) { int acol ) { int i,j; int i,j; float x_elem < if ( n <= 64 ) { if ( n <= 64 ) { for (i = 0; i < n; i++) { for (i = 0; i < n; i++) { #pragma shortloop for (j = 0; j < n; j++) { for (j = 0; j < n; j++) { Y[j] += A[j*acol+i] * x_elem; Y[j] += A[j*acol+i] * X[i]; } } } } } }} }
Slide 40
Kernel performance: mm_mulmatrix –matrix multiplication
Hand coded assemblymm-mul-small.s
1.58 gigaflops
vcc w/ restrict and shortloop keywords
0.852 gigaflops
+ inner two loops in separate function, allows outer loop vectorization
1.51 gigaflops
64x64x64, 32 bit float, 1.6 gigaflop theoretical peak
Slide 41
Kernel performance: saxpy• 32 bit floating point ops
379 593 691 720
385 596 692 721
N=64
256 1024
4096
Hand coded assembly
vcc w/restrict keywords
Slide 42
Kernel performance: motion_estimate
Hand optimized assembly 1.181 gigaops
vcc w/restrict keywords 170 mops
+ shortloop directives 253 mops
+ outer loop unroll directive
257 mops*
32 bit integer ops, finding the minimum sum of absolute differences for a reference block and a region in an image.
*No improvement because of spilling.
Slide 43
Dongarra loops• 100 loops to test compiler vectorization
capability• Rewritten in C by Cray (?)• vcc vectorizes 74 loops• vcc partially vectorizes 3 loops• vcc conditionally vectorizes 3 loops• 1 loop not vectorized because vector sin/cos
not currently available on viram.• 19 other loops not vectorized• Data provided by Sam Williams
Slide 44
Features Remaining:• Support version 3 isa and version 4 isa:
– Isa changes required by Mips Inc. scalar core
– Performance simulator only supports “old”isa
• Finish sync support– take advantage of Cray implementation
• VIRAM machine “target”– Allow easier maintainence of frontend and
optimizer mods for viram• User documentation
– Summary of differences w/Cray compiler– Useful options, hints for vector code
Slide 45
Performance Features Remaining
• Additional tuning: instruction scheduler• Support new SV2 inliner for C/C++• Shortloop enhancements• Reduce spilling
– Scheduler concern with registers– Ordering of blocks for register assignment
within “priority groups”– Special vector registers carried across calls
• Loop unrolling for vector loops• Tune for key benchmarks
Slide 46
Other Future Compiler Features ?
• Support for speculative execution• Compiler extensions for fixed point hardware• Support for vector functions; vector mlib
Slide 47
Summary• vcc is a reasonably robust compiler for VIRAM
• Performance on kernels is good w/appropriate directives, some effort for optimum vectorization
• Need to prioritize remaining work
Slide 48
Codegen/optimizer issues for VIRAM
• Variable virtual processor width (VPW)• Variable maximum vector register length
(MVL)• Vector flag registers treated as 1 bit wide
vector register• Multiple base, incr, stride regs. +
autoincrement• Fixed point arithmetic (saturating add, etc.)• Memory consistency• New vector instructions not available on SV2
Slide 49
Generating Code for Variable MVL
• Maximum vector length is not specified in IRAM ISA.• However, compiler assumes mvl at compile time
– mvl based on vpw– mvl assumption dependent on VIRAM-1 hardware
implementation– Recompiling required for future hardware
versions if mvl changes• MVL knowledge useful for code gen and vectorizer:
– register spilling– short loop vectorization– length-dependent vectorization ( and may
eliminate safe vector length computation at run time)
for (i = 0; i < n; i=++) a[i] = a[i+32]
Slide 50
Memory consistency• Sync instructions:
SaV VaS VaV vp
RaW
WaR
WaW