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Igli Balla: Implemented optimized matrix multiplication #16

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95e3460
First part of the work
Igli333 May 6, 2025
988862c
Revert "First part of the work"
Igli333 May 6, 2025
e24eabb
First part of the work
Igli333 May 6, 2025
1853559
Code almost finished -- results to be recorded
Igli333 May 6, 2025
138b08a
Code optimized and results added
Igli333 May 7, 2025
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4 changes: 3 additions & 1 deletion CMakeLists.txt
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Expand Up @@ -6,6 +6,8 @@ set(CMAKE_CXX_STANDARD 11)

set(CMAKE_CXX_STANDARD_REQUIRED ON)

set(OMP_NUM_THREADS 16)

find_package(OpenMP REQUIRED)

if(OpenMP_CXX_FOUND)
Expand All @@ -17,7 +19,7 @@ if(APPLE)
endif()


add_executable(matmul main_ans.cpp)
add_executable(matmul main.cpp)


if(OpenMP_CXX_FOUND)
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30 changes: 29 additions & 1 deletion README.md
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Expand Up @@ -235,4 +235,32 @@ git push origin student-name
- Validate each implementation against `output.raw` to ensure correctness before optimizing.
- Use small test cases to debug your blocked and parallel implementations.

Good luck, and enjoy optimizing your matrix multiplication!
Good luck, and enjoy optimizing your matrix multiplication!

### Results

| Test Case | Dimensions (m × n × p) | Naive Time (s) | Blocked Time (s) | Parallel Time (s) | Blocked Speedup | Parallel Speedup |
|-----------|------------------------|----------------|------------------|-------------------|-----------------|------------------|
| 1 | 64 × 64 × 64 | 0.000771433 | 0.000670545 | 0.000350771 | 1.15046× | 2.19925× |
| 2 | 64 × 64 × 64 | 0.0006139 | 0.000563352 | 0.00023961 | 1.08973× | 2.56205× |
| 3 | 128 × 64 × 128 | 0.0022845 | 0.00227195 | 0.000763971 | 1.00552× | 2.99029× |
| 4 | 128 × 64 × 128 | 0.00295904 | 0.00237161 | 0.0010892 | 1.24769× | 2.7167× |
| 5 | 100 × 128 × 56 | 0.00227332 | 0.00243213 | 0.000535479 | 0.934704× | 4.2454× |
| 6 | 100 × 128 × 56 | 0.00155518 | 0.00154541 | 0.000579957 | 1.00632× | 2.68154× |
| 7 | 128 × 64 × 128 | 0.00235209 | 0.00226329 | 0.00071353 | 1.03924× | 3.29642× |
| 8 | 128 × 64 × 128 | 0.00305947 | 0.00229758 | 0.000697379 | 1.33161× | 4.3871× |
| 9 | 32 × 128 × 32 | 0.000327104 | 0.000290786 | 0.000148961 | 1.1249× | 2.1959× |
| 10 | 32 × 128 × 32 | 0.00027893 | 0.000284768 | 0.000204402 | 0.979499× | 1.36461× |
| 11 | 200 × 100 × 256 | 0.011683 | 0.0114896 | 0.00344001 | 1.01683× | 3.39619× |
| 12 | 200 × 100 × 256 | 0.0117548 | 0.0110553 | 0.00319123 | 1.06327× | 3.68347× |
| 13 | 256 × 256 × 256 | 0.0383598 | 0.0370295 | 0.00940384 | 1.03593× | 4.07917× |
| 14 | 256 × 256 × 256 | 0.0380587 | 0.0346864 | 0.0095684 | 1.09722× | 3.97754× |
| 15 | 256 × 300 × 256 | 0.0430276 | 0.0413115 | 0.0111705 | 1.04154× | 3.85191× |
| 16 | 256 × 300 × 256 | 0.0419544 | 0.0414222 | 0.0112128 | 1.01285× | 3.74165× |
| 17 | 64 × 128 × 64 | 0.00114947 | 0.00112288 | 0.000451304 | 1.02369× | 2.54701× |
| 18 | 64 × 128 × 64 | 0.00127682 | 0.00113251 | 0.000446731 | 1.12743× | 2.85814× |
| 19 | 256 × 256 × 257 | 0.0366115 | 0.0334168 | 0.00918976 | 1.0956× | 3.98395× |
| 20 | 256 × 256 × 257 | 0.0407559 | 0.0336556 | 0.00928626 | 1.21097× | 4.3888× |


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543.03 502.49 463.87 496.4 513.75 527.98 564.68 459.89 551.61 452.32 533.23 539.88 517.65 516.3 478.04 543.05 543.31 471.26 490.59 485.11 500.81 515.12 509.74 509.18 505.03 503.9 518.88 479.92 533.24 493.2 536.26 523.15
492.73 489.15 404.26 494.58 499.12 547.25 512.92 480.52 520.84 440.2 540.02 513.55 484.39 483.82 438.03 496.36 525.23 489.12 475.1 479.17 515.01 490.01 507.99 505.14 471.49 473.51 492.3 461.67 536.08 482.45 536.69 511.38
470.88 469.49 445.51 468.28 481.9 468.55 517.38 417.82 524.07 436.13 497.58 480.71 462.88 509.88 444.71 484.97 462.46 451.58 436.21 435.57 454.28 459.33 466.95 452.7 449.5 428.71 472.57 417.98 510.16 440.92 476.38 487.37
489.98 485.12 443.22 497.87 532.14 557.1 560.34 490 536.71 425.54 525.71 525.49 507.46 535.97 508.98 512.06 519.52 489.35 471.04 477.69 548.62 474.13 503.94 515.43 489.06 475.79 510.13 432.11 523.08 511.93 518.67 556.13
510.04 493.35 453.56 497.04 526.66 562.02 570.9 459.72 548.44 432.93 551.48 500.69 521.26 497.8 462.95 523.29 494.65 471.26 490.03 450.88 505.25 487.01 492.41 483.57 465.25 475.45 498 485.69 571.22 489.51 538.17 534.01
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