diff --git a/README.md b/README.md new file mode 100644 index 0000000000000000000000000000000000000000..8f6c8ca46568426bf32c38dbffd2eb18e89c314a --- /dev/null +++ b/README.md @@ -0,0 +1,39 @@ +# fisr_algorithm_dataset + +## Fast Inverse Square Root Algorithm Visualization Dataset + +Generated with UNDERGROUND: FISR by webXOS +Educational visualization of the Quake III Arena optimization algorithm + +### Algorithm Details +- Magic Number: 0x5f23aac5 +- Newton Iterations: 3 +- Input Range: 0.1 to 1000 +- Maximum Error: 1.1742636926798086e+287% +- RMS Error: Infinity% + +### Files Included +frames +metadata +data +algorithm + +### Educational Value +This dataset demonstrates: +1. The Fast Inverse Square Root algorithm implementation +2. Error analysis of the approximation +3. 3D visualization of mathematical functions +4. Bit-level manipulation techniques + +### Usage for Training +1. Use frames/ for visual sequence learning +2. Use numerical_data.csv for regression tasks +3. Use metadata.json for conditional generation +4. Train models to understand optimization algorithms + +### Citation +If you use this dataset, please cite: +UNDERGROUND: FISR by webXOS, 2024 + +### License +Creative Commons Attribution 4.0 International (CC BY 4.0) \ No newline at end of file diff --git a/algorithm_analysis.json b/algorithm_analysis.json new file mode 100644 index 0000000000000000000000000000000000000000..10daac0041a0a34be4164b6fdfbcf79147784038 --- /dev/null +++ b/algorithm_analysis.json @@ -0,0 +1,14 @@ +{ + "explanation": "The Fast Inverse Square Root algorithm computes 1/√x using bit manipulation and Newton's method.", + "original_use": "Used in Quake III Arena for lighting and reflection calculations.", + "performance": "Approximately 30x faster than standard floating-point division and square root.", + "steps": [ + "1. Treat the floating-point number as an integer", + "2. Right shift the integer by 1 bit", + "3. Subtract from the magic number (0x5f3759df)", + "4. Treat the result as a floating-point number", + "5. Apply one iteration of Newton's method: y = y * (1.5 - (x2 * y * y))" + ], + "mathematical_basis": "The algorithm exploits the linear relationship between the logarithm of a number and its floating-point representation.", + "magic_number_derivation": "The magic number is derived from the IEEE 754 floating-point format and provides a good initial approximation." +} \ No newline at end of file diff --git a/dataset_info.json b/dataset_info.json new file mode 100644 index 0000000000000000000000000000000000000000..a58d886a747ef90abfde90c99be25f073abcf079 --- /dev/null +++ b/dataset_info.json @@ -0,0 +1,24 @@ +{ + "description": "Fast Inverse Square Root algorithm visualization dataset for machine learning training", + "license": "CC BY 4.0", + "features": { + "frames": { + "dtype": "image", + "id": null + }, + "metadata": { + "dtype": "string", + "id": null + }, + "numerical_data": { + "dtype": "string", + "id": null + }, + "algorithm_analysis": { + "dtype": "string", + "id": null + } + }, + "homepage": "https://github.com/webXOS/UNDERGROUND-FISR", + "citation": "@misc{underground-fisr-2024,\n author = {webXOS},\n title = {Fast Inverse Square Root Algorithm Visualization Dataset},\n year = {2024},\n publisher = {GitHub},\n journal = {GitHub repository}\n}" +} \ No newline at end of file diff --git a/frames/00000.png b/frames/00000.png new file mode 100644 index 0000000000000000000000000000000000000000..042b2cc5a7f74302dc81d9aea8620a05caaac09c Binary files /dev/null and b/frames/00000.png differ diff --git a/frames/00001.png b/frames/00001.png new file mode 100644 index 0000000000000000000000000000000000000000..696fdd4fddc9dc23c2bf64e8c360cd6153fedd32 Binary files /dev/null and b/frames/00001.png differ diff --git a/frames/00002.png b/frames/00002.png new file mode 100644 index 0000000000000000000000000000000000000000..c21d4c6c5f0d466861a9a50f3e598b66143ad1e5 Binary files /dev/null and b/frames/00002.png differ diff --git a/frames/00003.png b/frames/00003.png new file mode 100644 index 0000000000000000000000000000000000000000..843137a371a53219a70d22dcbde7c30e7f9f4c4b Binary files /dev/null and b/frames/00003.png differ diff --git a/frames/00004.png b/frames/00004.png new file mode 100644 index 0000000000000000000000000000000000000000..30c2cf44e4e1e1c07b950eb3db2c98ff099ec69e Binary files /dev/null and b/frames/00004.png differ diff --git a/frames/00005.png b/frames/00005.png new file mode 100644 index 0000000000000000000000000000000000000000..dde0257acdb54738552c6fd7c340b8212b90cba8 Binary files /dev/null and b/frames/00005.png differ diff --git a/frames/00006.png b/frames/00006.png new file mode 100644 index 0000000000000000000000000000000000000000..60499337fbcc25307842db2b40ee0d59bb2cec5e Binary files /dev/null and b/frames/00006.png differ diff --git a/frames/00007.png b/frames/00007.png new file mode 100644 index 0000000000000000000000000000000000000000..9d6d7a729a27362034133b3cb805d8dce1032ba6 Binary files /dev/null and b/frames/00007.png differ diff --git a/frames/00008.png b/frames/00008.png new file mode 100644 index 0000000000000000000000000000000000000000..bfc2cda6adf26e6d36f879a9ab919d38a774d26d Binary files /dev/null and b/frames/00008.png differ diff --git a/frames/00009.png b/frames/00009.png new file mode 100644 index 0000000000000000000000000000000000000000..0a3b1a0eefe25aff851d388f43404531db5b2db8 Binary files /dev/null and b/frames/00009.png differ diff --git a/frames/00010.png b/frames/00010.png new file mode 100644 index 0000000000000000000000000000000000000000..c9000fb15aa6c565fc3166b98107318b134cc5db Binary files /dev/null and b/frames/00010.png differ diff --git a/frames/00011.png b/frames/00011.png new file mode 100644 index 0000000000000000000000000000000000000000..3455b19ee664553e44811f76e52a42fc20c00a17 Binary files /dev/null and b/frames/00011.png differ diff --git a/frames/00012.png b/frames/00012.png new file mode 100644 index 0000000000000000000000000000000000000000..9426d8390f726f5d2cfac5ae40128afdaf0cae13 Binary files /dev/null and b/frames/00012.png differ diff --git a/frames/00013.png b/frames/00013.png new file mode 100644 index 0000000000000000000000000000000000000000..a9f630fe8b89a1c6c57a21a8c52c053e4ce2b969 Binary files /dev/null and b/frames/00013.png differ diff --git a/frames/00014.png b/frames/00014.png new file mode 100644 index 0000000000000000000000000000000000000000..ac52804a755298905a0ede8901ec91f8b2403a26 Binary files /dev/null and b/frames/00014.png differ diff --git a/frames/00015.png b/frames/00015.png new file mode 100644 index 0000000000000000000000000000000000000000..6adc8df849fcff50beb8c69b6d74875e4c96b9d9 Binary files /dev/null and b/frames/00015.png differ diff --git a/frames/00016.png b/frames/00016.png new file mode 100644 index 0000000000000000000000000000000000000000..54d49247abb395e6fedc57bc031b1e8f614124c7 Binary files /dev/null and b/frames/00016.png differ diff --git a/frames/00017.png b/frames/00017.png new file mode 100644 index 0000000000000000000000000000000000000000..ce1d16ab42750599385fe85d69987f8ce33c8762 Binary files /dev/null and b/frames/00017.png differ diff --git a/frames/00018.png b/frames/00018.png new file mode 100644 index 0000000000000000000000000000000000000000..da3498f6f82b2f39025e10fffbf4331f8b3ad2d4 Binary files /dev/null and b/frames/00018.png differ diff --git a/frames/00019.png b/frames/00019.png new file mode 100644 index 0000000000000000000000000000000000000000..7ac95320a4591eba22d2a38cf0fcca12c55ac6f2 Binary files /dev/null and b/frames/00019.png differ diff --git a/frames/00020.png b/frames/00020.png new file mode 100644 index 0000000000000000000000000000000000000000..1377d2b9d97aa1c465c2a711a2c93246b55e74e9 Binary files /dev/null and b/frames/00020.png differ diff --git a/frames/00021.png b/frames/00021.png new file mode 100644 index 0000000000000000000000000000000000000000..85aad7611e39dcaeec1007bce44a0e9ec7f2e158 Binary files /dev/null and b/frames/00021.png differ diff --git a/frames/00022.png b/frames/00022.png new file mode 100644 index 0000000000000000000000000000000000000000..da6f93a4fd54f872bbfed5947d8eda2fb09cff43 Binary files /dev/null and b/frames/00022.png differ diff --git a/frames/00023.png b/frames/00023.png new file mode 100644 index 0000000000000000000000000000000000000000..7b21d3e63a5ce91e6526529149172433b87ad194 Binary files /dev/null and b/frames/00023.png differ diff --git a/frames/00024.png b/frames/00024.png new file mode 100644 index 0000000000000000000000000000000000000000..ed5d5704b4faded176e4e0341538c7737f315cc4 Binary files /dev/null and b/frames/00024.png differ diff --git a/frames/00025.png b/frames/00025.png new file mode 100644 index 0000000000000000000000000000000000000000..257d8c70306b5cee8af1e591e4972da4b706bf8b Binary files /dev/null and b/frames/00025.png differ diff --git a/frames/00026.png b/frames/00026.png new file mode 100644 index 0000000000000000000000000000000000000000..4684a93659ba5381645ec72fe454ede01e6b161f Binary files /dev/null and b/frames/00026.png differ diff --git a/frames/00027.png b/frames/00027.png new file mode 100644 index 0000000000000000000000000000000000000000..216e623f998492962f96681ac30c2a95b892d49a Binary files /dev/null and b/frames/00027.png differ diff --git a/frames/00028.png b/frames/00028.png new file mode 100644 index 0000000000000000000000000000000000000000..15f4586e11781c3d10b2cd8a7d9d61239c210004 Binary files /dev/null and b/frames/00028.png differ diff --git a/frames/00029.png b/frames/00029.png new file mode 100644 index 0000000000000000000000000000000000000000..19c22eb8a291af9a3a9831d16b13ed4580db3477 Binary files /dev/null and b/frames/00029.png differ diff --git a/frames/00030.png b/frames/00030.png new file mode 100644 index 0000000000000000000000000000000000000000..226912b18e9fdab63039e5fe35e4459b114ef3a1 Binary files /dev/null and b/frames/00030.png differ diff --git a/frames/00031.png b/frames/00031.png new file mode 100644 index 0000000000000000000000000000000000000000..3b189c99d77bd2efba275ad61bf52e161a8276b0 Binary files /dev/null and b/frames/00031.png differ diff --git a/frames/00032.png b/frames/00032.png new file mode 100644 index 0000000000000000000000000000000000000000..1884392681bca21f293958d01be547dfba59054b Binary files /dev/null and b/frames/00032.png differ diff --git a/frames/00033.png b/frames/00033.png new file mode 100644 index 0000000000000000000000000000000000000000..95fb7b69048dbcca3655dd0a00a5cf86d1608d51 Binary files /dev/null and b/frames/00033.png differ diff --git a/frames/00034.png b/frames/00034.png new file mode 100644 index 0000000000000000000000000000000000000000..7c9d09ef095e2dcf38a171344325e06a081d00f7 Binary files /dev/null and b/frames/00034.png differ diff --git a/frames/00035.png b/frames/00035.png new file mode 100644 index 0000000000000000000000000000000000000000..6ded28a3afa7ea7585380e898a96fe88ca404e29 Binary files /dev/null and b/frames/00035.png differ diff --git a/frames/00036.png b/frames/00036.png new file mode 100644 index 0000000000000000000000000000000000000000..b51d7d63393378515dccd33770f6753f35b04182 Binary files /dev/null and b/frames/00036.png differ diff --git a/frames/00037.png b/frames/00037.png new file mode 100644 index 0000000000000000000000000000000000000000..a8dff65a53642bd71a23ef0a380201133be4bc06 Binary files /dev/null and b/frames/00037.png differ diff --git a/frames/00038.png b/frames/00038.png new file mode 100644 index 0000000000000000000000000000000000000000..8160a70371ceb66cdabcf9174db124412e2e6748 Binary files /dev/null and b/frames/00038.png differ diff --git a/frames/00039.png b/frames/00039.png new file mode 100644 index 0000000000000000000000000000000000000000..479ff8d01d136d58f218886af36213d26814c3ad Binary files /dev/null and b/frames/00039.png differ diff --git a/frames/00040.png b/frames/00040.png new file mode 100644 index 0000000000000000000000000000000000000000..bd77941a801b439fba2a7f78eca1aa966b725627 Binary files /dev/null and b/frames/00040.png differ diff --git a/frames/00041.png b/frames/00041.png new file mode 100644 index 0000000000000000000000000000000000000000..9be3ce394f7cfd55f13990b1942c48db5c3d7ef0 Binary files /dev/null and b/frames/00041.png differ diff --git a/frames/00042.png b/frames/00042.png new file mode 100644 index 0000000000000000000000000000000000000000..76b43db681810eaccd61c69b2a2d64f6e2c9ea55 Binary files /dev/null and b/frames/00042.png differ diff --git a/frames/00043.png b/frames/00043.png new file mode 100644 index 0000000000000000000000000000000000000000..e9a8db060fc5ce100d60fa77e0898fbde5f0faa0 Binary files /dev/null and b/frames/00043.png differ diff --git a/frames/00044.png b/frames/00044.png new file mode 100644 index 0000000000000000000000000000000000000000..8f4a9284d70e920dd38ffddf7795aa90ce6d7298 Binary files /dev/null and b/frames/00044.png differ diff --git a/frames/00045.png b/frames/00045.png new file mode 100644 index 0000000000000000000000000000000000000000..cd63eaa5769f902e8c5e32ea47a1c035ef67fe9f Binary files /dev/null and b/frames/00045.png differ diff --git a/frames/00046.png b/frames/00046.png new file mode 100644 index 0000000000000000000000000000000000000000..613816b33d1519fb5e9b9cc50fabe7ac08cace90 Binary files /dev/null and b/frames/00046.png differ diff --git a/frames/00047.png b/frames/00047.png new file mode 100644 index 0000000000000000000000000000000000000000..764c86eb10f274175a4a0658aaaf52d84118ed2c Binary files /dev/null and b/frames/00047.png differ diff --git a/frames/00048.png b/frames/00048.png new file mode 100644 index 0000000000000000000000000000000000000000..2905abe5bff89d30205ac1228ca77ac17e7fb91a Binary files /dev/null and b/frames/00048.png differ diff --git a/frames/00049.png b/frames/00049.png new file mode 100644 index 0000000000000000000000000000000000000000..aebe90d77eb6048d85998ef3cc768791ee73a990 Binary files /dev/null and b/frames/00049.png differ diff --git a/frames/00050.png b/frames/00050.png new file mode 100644 index 0000000000000000000000000000000000000000..69d3719bdde68e4b0ee7d052d2911274649b3b50 Binary files /dev/null and b/frames/00050.png differ diff --git a/frames/00051.png b/frames/00051.png new file mode 100644 index 0000000000000000000000000000000000000000..2c53d7a0ec715ee5e5eef6adcb8c79230f42df91 Binary files /dev/null and b/frames/00051.png differ diff --git a/frames/00052.png b/frames/00052.png new file mode 100644 index 0000000000000000000000000000000000000000..3b7d08af710b97e3852867f228b712c9f8352178 Binary files /dev/null and b/frames/00052.png differ diff --git a/frames/00053.png b/frames/00053.png new file mode 100644 index 0000000000000000000000000000000000000000..3aeca153b75cac573961e860f24fedfb53d69c53 Binary files /dev/null and b/frames/00053.png differ diff --git a/frames/00054.png b/frames/00054.png new file mode 100644 index 0000000000000000000000000000000000000000..9b23240221243518da5dc8959b60ed1dc43b8998 Binary files /dev/null and b/frames/00054.png differ diff --git a/frames/00055.png b/frames/00055.png new file mode 100644 index 0000000000000000000000000000000000000000..8a554e1c9d56bf438fc376c3bc3e5045de1e7f75 Binary files /dev/null and b/frames/00055.png differ diff --git a/frames/00056.png b/frames/00056.png new file mode 100644 index 0000000000000000000000000000000000000000..a91c3d86e04d6a177077d44aaed2b552ae937aad Binary files /dev/null and b/frames/00056.png differ diff --git a/frames/00057.png b/frames/00057.png new file mode 100644 index 0000000000000000000000000000000000000000..6c0a8c47f80323350fbd4738af7ee73f5c371f10 Binary files /dev/null and b/frames/00057.png differ diff --git a/frames/00058.png b/frames/00058.png new file mode 100644 index 0000000000000000000000000000000000000000..4a104f343373abf2d0b8ac68d007ca5df9594a3e Binary files /dev/null and b/frames/00058.png differ diff --git a/frames/00059.png b/frames/00059.png new file mode 100644 index 0000000000000000000000000000000000000000..788744f26fac1770ba410094d10a8f030be358b4 Binary files /dev/null and b/frames/00059.png differ diff --git a/frames/00060.png b/frames/00060.png new file mode 100644 index 0000000000000000000000000000000000000000..8be1055579b8afa85a32b0b204f2cd55c8c90cc4 Binary files /dev/null and b/frames/00060.png differ diff --git a/frames/00061.png b/frames/00061.png new file mode 100644 index 0000000000000000000000000000000000000000..58b85083b8a38d84b21b3978660194b0dc9acac8 Binary files /dev/null and b/frames/00061.png differ diff --git a/frames/00062.png b/frames/00062.png new file mode 100644 index 0000000000000000000000000000000000000000..76aa84a6f1c8928963a21b82a36aa87248499232 Binary files /dev/null and b/frames/00062.png differ diff --git a/frames/00063.png b/frames/00063.png new file mode 100644 index 0000000000000000000000000000000000000000..55cbb13b60549361ccf3990fc6df4ee8c0d45b94 Binary files /dev/null and b/frames/00063.png differ diff --git a/frames/00064.png b/frames/00064.png new file mode 100644 index 0000000000000000000000000000000000000000..7f47750e4fdf54d2209947a443125ee504bb98ac Binary files /dev/null and b/frames/00064.png differ diff --git a/frames/00065.png b/frames/00065.png new file mode 100644 index 0000000000000000000000000000000000000000..564ed398228a589ccbe61e9d23bc673e351c3729 Binary files /dev/null and b/frames/00065.png differ diff --git a/frames/00066.png b/frames/00066.png new file mode 100644 index 0000000000000000000000000000000000000000..f3819a204aa00904c4b08b103257b3dabf91af41 Binary files /dev/null and b/frames/00066.png differ diff --git a/frames/00067.png b/frames/00067.png new file mode 100644 index 0000000000000000000000000000000000000000..25cb301241b587ce2768c0c2fd00301faecda2cd Binary files /dev/null and b/frames/00067.png differ diff --git a/frames/00068.png b/frames/00068.png new file mode 100644 index 0000000000000000000000000000000000000000..d07815cf7012c6a13bc9b2888d1f3c343edcca26 Binary files /dev/null and b/frames/00068.png differ diff --git a/frames/00069.png b/frames/00069.png new file mode 100644 index 0000000000000000000000000000000000000000..009daa4ff778a3e489e69919bad35ba36796149c Binary files /dev/null and b/frames/00069.png differ diff --git a/frames/00070.png b/frames/00070.png new file mode 100644 index 0000000000000000000000000000000000000000..53bac480aaba78996cc905ba0577388b48316873 Binary files /dev/null and b/frames/00070.png differ diff --git a/frames/00071.png b/frames/00071.png new file mode 100644 index 0000000000000000000000000000000000000000..0c1ad4a237ba777697e6e86e41e45979b7637a22 Binary files /dev/null and b/frames/00071.png differ diff --git a/frames/00072.png b/frames/00072.png new file mode 100644 index 0000000000000000000000000000000000000000..cba068ae220465910e40b24a22e80007630a8649 Binary files /dev/null and b/frames/00072.png differ diff --git a/frames/00073.png b/frames/00073.png new file mode 100644 index 0000000000000000000000000000000000000000..84a1c8b0839bbf01f8449b7120cea55346eb0da6 Binary files /dev/null and b/frames/00073.png differ diff --git a/frames/00074.png b/frames/00074.png new file mode 100644 index 0000000000000000000000000000000000000000..3894b6e60907d1c5106d0eba90af101c4851842b Binary files /dev/null and b/frames/00074.png differ diff --git a/frames/00075.png b/frames/00075.png new file mode 100644 index 0000000000000000000000000000000000000000..29926843547eb4aae0b43712adca424b6884f0b7 Binary files /dev/null and b/frames/00075.png differ diff --git a/frames/00076.png b/frames/00076.png new file mode 100644 index 0000000000000000000000000000000000000000..361745edbbebcd34bd2c26e374b383022bbb2f0a Binary files /dev/null and b/frames/00076.png differ diff --git a/frames/00077.png b/frames/00077.png new file mode 100644 index 0000000000000000000000000000000000000000..bed98c617ec5034cdb328ba88b6a26151dff417d Binary files /dev/null and b/frames/00077.png differ diff --git a/frames/00078.png b/frames/00078.png new file mode 100644 index 0000000000000000000000000000000000000000..430a68ea528182a4302d632cbbaa27def87afd5e Binary files /dev/null and b/frames/00078.png differ diff --git a/frames/00079.png b/frames/00079.png new file mode 100644 index 0000000000000000000000000000000000000000..fd9a2faea9efd985de8cb2a93d5223f92cf440f5 Binary files /dev/null and b/frames/00079.png differ diff --git a/frames/00080.png b/frames/00080.png new file mode 100644 index 0000000000000000000000000000000000000000..08194751cbfaeb837130fd5ad2c7ee0a25fa7f8f Binary files /dev/null and b/frames/00080.png differ diff --git a/frames/00081.png b/frames/00081.png new file mode 100644 index 0000000000000000000000000000000000000000..1f6d9d95c3acd6fb786fe1071b236260e9ca11ef Binary files /dev/null and b/frames/00081.png differ diff --git a/frames/00082.png b/frames/00082.png new file mode 100644 index 0000000000000000000000000000000000000000..5bfa5f56f00c8120b8244cb797e317871ac1b5b5 Binary files /dev/null and b/frames/00082.png differ diff --git a/frames/00083.png b/frames/00083.png new file mode 100644 index 0000000000000000000000000000000000000000..c5bf1e5057268a3adc592ba0afa73705dd86e1c5 Binary files /dev/null and b/frames/00083.png differ diff --git a/frames/00084.png b/frames/00084.png new file mode 100644 index 0000000000000000000000000000000000000000..52b9351eb3e95b5c44a09592db5c5fc8a47049ea Binary files /dev/null and b/frames/00084.png differ diff --git a/frames/00085.png b/frames/00085.png new file mode 100644 index 0000000000000000000000000000000000000000..6388d1b0cf00392a9c672425b19f4a19ab6337d2 Binary files /dev/null and b/frames/00085.png differ diff --git a/frames/00086.png b/frames/00086.png new file mode 100644 index 0000000000000000000000000000000000000000..d8fc52a4fa83331e90208b2b2526c9d6d65e63c2 Binary files /dev/null and b/frames/00086.png differ diff --git a/frames/00087.png b/frames/00087.png new file mode 100644 index 0000000000000000000000000000000000000000..65d4016810180e99dcd4a14dcc9d6023c6ea601f Binary files /dev/null and b/frames/00087.png differ diff --git a/frames/00088.png b/frames/00088.png new file mode 100644 index 0000000000000000000000000000000000000000..6b503f9378053869f62ee01043e2be6131e85031 Binary files /dev/null and b/frames/00088.png differ diff --git a/frames/00089.png b/frames/00089.png new file mode 100644 index 0000000000000000000000000000000000000000..380b7d69d6c37e607a1dda17ba6630127d176b13 Binary files /dev/null and b/frames/00089.png differ diff --git a/frames/00090.png b/frames/00090.png new file mode 100644 index 0000000000000000000000000000000000000000..d331177574c12b95597712fbbbfe50128ead97ee Binary files /dev/null and b/frames/00090.png differ diff --git a/frames/00091.png b/frames/00091.png new file mode 100644 index 0000000000000000000000000000000000000000..86f26941976c16d775963e4dedeb0593f3dea603 Binary files /dev/null and b/frames/00091.png differ diff --git a/frames/00092.png b/frames/00092.png new file mode 100644 index 0000000000000000000000000000000000000000..7a7940595fd426537c9cf1be902b4e3f3a914d5e Binary files /dev/null and b/frames/00092.png differ diff --git a/frames/00093.png b/frames/00093.png new file mode 100644 index 0000000000000000000000000000000000000000..d3fe719b7220715a04335c5a43a56fe399544fde Binary files /dev/null and b/frames/00093.png differ diff --git a/frames/00094.png b/frames/00094.png new file mode 100644 index 0000000000000000000000000000000000000000..d569f8b5dbd3c153eed752262a9f833cd47cb561 Binary files /dev/null and b/frames/00094.png differ diff --git a/frames/00095.png b/frames/00095.png new file mode 100644 index 0000000000000000000000000000000000000000..43841fb3cd5f5856015ae0dff33a22c6c8b8b026 Binary files /dev/null and b/frames/00095.png differ diff --git a/frames/00096.png b/frames/00096.png new file mode 100644 index 0000000000000000000000000000000000000000..dc1dc0004a4e9f0ddc0ea07fe6fb6d1e4366536e Binary files /dev/null and b/frames/00096.png differ diff --git a/frames/00097.png b/frames/00097.png new file mode 100644 index 0000000000000000000000000000000000000000..3513abd26f64e1876d4d0b41306cc96f4b43c238 Binary files /dev/null and b/frames/00097.png differ diff --git a/frames/00098.png b/frames/00098.png new file mode 100644 index 0000000000000000000000000000000000000000..593f9d8d4f0d1051b8b8d6c9c142682171bcb333 Binary files /dev/null and b/frames/00098.png differ diff --git a/frames/00099.png b/frames/00099.png new file mode 100644 index 0000000000000000000000000000000000000000..47c18cebd77164a65e046937ddf3cc9de6adddc8 Binary files /dev/null and b/frames/00099.png differ diff --git a/frames/00100.png b/frames/00100.png new file mode 100644 index 0000000000000000000000000000000000000000..6fde4b3f9c66648d17bb828db4da09d30578da08 Binary files /dev/null and b/frames/00100.png differ diff --git a/frames/00101.png b/frames/00101.png new file mode 100644 index 0000000000000000000000000000000000000000..cfa6d2fba510c0cda5b8426ba0b63c2498c7543c Binary files /dev/null and b/frames/00101.png differ diff --git a/frames/00102.png b/frames/00102.png new file mode 100644 index 0000000000000000000000000000000000000000..97287ff2baf81fc6a66887e5c768984ff1f90822 Binary files /dev/null and b/frames/00102.png differ diff --git a/frames/00103.png b/frames/00103.png new file mode 100644 index 0000000000000000000000000000000000000000..e2359ac59793bd9a5cbcfd22ee4c2f324713d243 Binary files /dev/null and b/frames/00103.png differ diff --git a/frames/00104.png b/frames/00104.png new file mode 100644 index 0000000000000000000000000000000000000000..763cce2dcd1597d0f827b078a829c5467400caf5 Binary files /dev/null and b/frames/00104.png differ diff --git a/frames/00105.png b/frames/00105.png new file mode 100644 index 0000000000000000000000000000000000000000..1779da8754f019e92138f34dd56b29f4848c0278 Binary files /dev/null and b/frames/00105.png differ diff --git a/frames/00106.png b/frames/00106.png new file mode 100644 index 0000000000000000000000000000000000000000..99246126e845ad56c5dd96e07cccf48845e3e276 Binary files /dev/null and b/frames/00106.png differ diff --git a/frames/00107.png b/frames/00107.png new file mode 100644 index 0000000000000000000000000000000000000000..370c1d57101ccdbd024c9d1bf3f2d6a99a95053f Binary files /dev/null and b/frames/00107.png differ diff --git a/frames/00108.png b/frames/00108.png new file mode 100644 index 0000000000000000000000000000000000000000..eb692e6331ed5c62aefbf7f6bf9f573f04169335 Binary files /dev/null and b/frames/00108.png differ diff --git a/frames/00109.png b/frames/00109.png new file mode 100644 index 0000000000000000000000000000000000000000..ac53a948db99d82980820d9625c3b0c5a5542526 Binary files /dev/null and b/frames/00109.png differ diff --git a/frames/00110.png b/frames/00110.png new file mode 100644 index 0000000000000000000000000000000000000000..e41fa93d0786c9294b1768ae22700ebe75fae258 Binary files /dev/null and b/frames/00110.png differ diff --git a/frames/00111.png b/frames/00111.png new file mode 100644 index 0000000000000000000000000000000000000000..2c01c3ae7f2a3b1e4a04c0dd4042bd328ff78b8b Binary files /dev/null and b/frames/00111.png differ diff --git a/frames/00112.png b/frames/00112.png new file mode 100644 index 0000000000000000000000000000000000000000..155efbe38e768b3193c059aef54c958f7ba068e4 Binary files /dev/null and b/frames/00112.png differ diff --git a/frames/00113.png b/frames/00113.png new file mode 100644 index 0000000000000000000000000000000000000000..83a64c731fdbb37b9e47983ba2d0030239042341 Binary files /dev/null and b/frames/00113.png differ diff --git a/frames/00114.png b/frames/00114.png new file mode 100644 index 0000000000000000000000000000000000000000..35dec6e5a457707522fd4372b152dd8217fe4922 Binary files /dev/null and b/frames/00114.png differ diff --git a/frames/00115.png b/frames/00115.png new file mode 100644 index 0000000000000000000000000000000000000000..8a40931e7a03844a4ec7ae95ec605a767b93532c Binary files /dev/null and b/frames/00115.png differ diff --git a/frames/00116.png b/frames/00116.png new file mode 100644 index 0000000000000000000000000000000000000000..9336fa4c89233daac14392d3ad276c1aaac8ddfb Binary files /dev/null and b/frames/00116.png differ diff --git a/frames/00117.png b/frames/00117.png new file mode 100644 index 0000000000000000000000000000000000000000..57800900f59f3678bbc5cd84fbc24a2691194c18 Binary files /dev/null and b/frames/00117.png differ diff --git a/frames/00118.png b/frames/00118.png new file mode 100644 index 0000000000000000000000000000000000000000..89a31bbb299ebd1f1ee830e736706459a0388a34 Binary files /dev/null and b/frames/00118.png differ diff --git a/frames/00119.png b/frames/00119.png new file mode 100644 index 0000000000000000000000000000000000000000..c5f2564f1f017f8a9fd238f6b38cd7dfd9304ae6 Binary files /dev/null and b/frames/00119.png differ diff --git a/metadata.json b/metadata.json new file mode 100644 index 0000000000000000000000000000000000000000..d5f6605ce75447eaee2ce19075f0235fd321a540 --- /dev/null +++ b/metadata.json @@ -0,0 +1,41 @@ +{ + "dataset_name": "fisr_algorithm_dataset", + "format": "huggingface", + "version": "fisr-alpha-v1", + "generation_date": "2026-01-26T21:26:22.339Z", + "source": "UNDERGROUND: FISR by webXOS", + "algorithm": "Fast Inverse Square Root (Quake III Arena)", + "parameters": { + "magic_number": 1596172997, + "magic_number_hex": "0x5f23aac5", + "newton_iterations": 3, + "input_range": 1000 + }, + "performance": { + "max_error": 1.1742636926798086e+287, + "rms_error": null, + "average_error": 4.766079934266385e+285, + "sample_count": 100 + }, + "frames": 120, + "frame_rate": 30, + "resolution": [ + 1280, + 562 + ], + "view_mode": "3d", + "visualization_type": "3D Vector Field showing FISR vs Standard results", + "license": "CC BY 4.0", + "description": "Fast Inverse Square Root algorithm visualization dataset for machine learning training", + "tags": [ + "fisr", + "fast-inverse-square-root", + "quake", + "algorithm", + "optimization", + "mathematics", + "visualization", + "synthetic", + "training-data" + ] +} \ No newline at end of file diff --git a/numerical_data.csv b/numerical_data.csv new file mode 100644 index 0000000000000000000000000000000000000000..d940e82b3ff33264c8972e65ad69afe9cd207a75 --- /dev/null +++ b/numerical_data.csv @@ -0,0 +1,101 @@ +input,fisr_result,standard_result,relative_error%,absolute_error +0.1,-3.7133800029001386e+231,3.162277660168379,1.17427386268871e+233,3.7133800029001386e+231 +0.20202020202020204,-3.4665846385988785e+235,2.2248595461286986,1.5581139243737012e+237,3.4665846385988785e+235 +0.5080808080808081,-5.583360506676421e+240,1.4029222554620677,3.9798074946337494e+242,5.583360506676421e+240 +1.0181818181818183,-4.693521179926128e+244,0.9910312089651149,4.735997350504573e+246,4.693521179926128e+244 +1.7323232323232325,-4.6983512486113134e+247,0.7597759375096442,6.183864237674248e+249,4.6983512486113134e+247 +2.6505050505050503,-1.1831550553910213e+250,0.6142365874529566,1.9262204166267404e+252,1.1831550553910213e+250 +3.772727272727273,-1.1649029485749852e+252,0.514840014921,2.2626503667430254e+254,1.1649029485749852e+252 +5.098989898989898,-5.848754140417471e+253,0.44285130028937186,1.3207038427110242e+256,5.848754140417471e+253 +6.629292929292929,-1.7735487066151787e+255,0.3883885295103978,4.566429160127134e+257,1.7735487066151787e+255 +8.363636363636363,-3.6383648117996626e+256,0.3457820374040623,1.0522133651344256e+259,3.6383648117996626e+256 +10.3020202020202,-5.467144563643923e+257,0.3115579240419614,1.7547762845240918e+260,5.467144563643923e+257 +12.444444444444443,-6.374558719817746e+258,0.2834733547569205,2.248732945388802e+261,6.374558719817746e+258 +14.790909090909091,-6.021459021400222e+259,0.2600174926742806,2.3157899722320603e+262,6.021459021400222e+259 +17.34141414141415,-4.7628519758794975e+260,0.2401362614115877,1.9833955721148194e+263,4.7628519758794975e+260 +20.095959595959595,-3.237294351712281e+261,0.22307228995184022,1.4512310571659037e+264,3.237294351712281e+261 +23.05454545454546,-1.9302065573571244e+262,0.20826760266965805,9.26791556927222e+264,1.9302065573571244e+262 +26.21717171717172,-1.0265600428090027e+263,0.19530217536764072,5.256265276495695e+265,1.0265600428090027e+263 +29.583838383838383,-4.937160327947078e+263,0.18385385452903721,2.6853722162062806e+266,4.937160327947078e+263 +33.154545454545456,-2.171843213188455e+264,0.17367146225805682,1.25054697239857e+267,2.171843213188455e+264 +36.92929292929292,-8.822493682596579e+264,0.16455629619394038,5.361383238839243e+267,8.822493682596579e+264 +40.908080808080804,-3.3364669033634204e+265,0.15634912224210656,2.133985055699195e+268,3.3364669033634204e+265 +45.0909090909091,-1.1828381989762914e+266,0.14892084929531763,7.942730682596786e+268,1.1828381989762914e+266 +49.477777777777774,-3.954584574694582e+266,0.1421657259846194,2.78167226826698e+269,3.954584574694582e+266 +54.06868686868687,-1.2533262726054411e+267,0.1359962987531201,9.21588516817401e+269,1.2533262726054411e+267 +58.86363636363637,-3.782514423512966e+267,0.13033962171349503,2.9020449605320087e+270,3.782514423512966e+267 +63.86262626262627,-1.091381330542886e+268,0.1251343703951155,8.72167516483934e+270,1.091381330542886e+268 +69.06565656565658,-3.0211781541090436e+268,0.12032861768508624,2.510772758992223e+271,3.0211781541090436e+268 +74.47272727272725,-8.048831101876537e+268,0.11587810136086975,6.945946652000033e+271,8.048831101876537e+268 +80.08383838383837,-2.069435527880663e+269,0.11174486102915014,1.8519290362183395e+272,2.069435527880663e+269 +85.89898989898988,-5.1476995850129925e+269,0.10789615578294501,4.7709758959055354e+272,5.1476995850129925e+269 +91.91818181818182,-1.2416150895966124e+270,0.10430359740303079,1.1903856822876316e+273,1.2416150895966124e+270 +98.14141414141415,-2.909701942474632e+270,0.10094245065876864,2.8825354679675323e+273,2.909701942474632e+270 +104.56868686868687,-6.637277272340322e+270,0.09779106431413395,6.787202203894025e+273,6.637277272340322e+270 +111.19999999999999,-1.4761506707969973e+271,0.0948304052263602,1.5566217051096907e+274,1.4761506707969973e+271 +118.03535353535352,-3.2057217292604327e+271,0.09204367439322905,3.4828267671767925e+274,3.2057217292604327e+271 +125.07474747474747,-6.807281423091474e+271,0.08941598861806142,7.61304720587348e+274,6.807281423091474e+271 +132.3181818181818,-1.415214514390312e+272,0.08693411507651089,1.6279161674847425e+275,1.415214514390312e+272 +139.76565656565657,-2.883862508622606e+272,0.08458624880860696,3.4093751043954113e+275,2.883862508622606e+272 +147.41717171717167,-5.766249445295582e+272,0.08236182525258114,7.001119059239007e+275,5.766249445295582e+272 +155.27272727272725,-1.132415511436193e+273,0.08025136154885452,1.411085730610083e+276,1.132415511436193e+273 +163.3323232323232,-2.1862824444819434e+273,0.0782463215930156,2.794102521334491e+276,2.1862824444819434e+273 +171.59595959595958,-4.1529834880563984e+273,0.076339000793483,5.440185809205581e+276,4.1529834880563984e+273 +180.0636363636364,-7.767954400465585e+273,0.0745224272577479,1.042364652670109e+277,7.767954400465585e+273 +188.73535353535357,-1.4317289963473932e+274,0.07279027673898228,1.96692341407275e+277,1.4317289963473932e+274 +197.6111111111111,-2.6020529810251386e+274,0.07113679915870524,3.657815661933275e+277,2.6020529810251386e+274 +206.69090909090906,-4.6660171911462656e+274,0.06955675490858591,6.708215754571241e+277,4.6660171911462656e+274 +215.97474747474746,-8.260515063914133e+274,0.06804535944625198,1.2139718463004066e+278,8.260515063914133e+274 +225.46262626262626,-1.44456721284684e+275,0.06659823495220536,2.169077324471951e+278,1.44456721284684e+275 +235.15454545454546,-2.4966770376835244e+275,0.06521136801999865,3.828591721795896e+278,2.4966770376835244e+275 +245.05050505050508,-4.266691858553952e+275,0.06388107251929943,6.67911744478761e+278,4.266691858553952e+275 +255.15050505050507,-7.2131020104477e+275,0.06260395690886442,1.1521798887166445e+279,7.2131020104477e+275 +265.4545454545455,-1.2068147672172696e+276,0.06137689538964343,1.9662362515340002e+279,1.2068147672172696e+276 +275.9626262626264,-1.9990378416333596e+276,0.06019700238187906,3.3208262247874397e+279,1.9990378416333596e+276 +286.67474747474745,-3.2796705173033326e+276,0.059061609887842474,5.552964986107559e+279,3.2796705173033326e+276 +297.59090909090907,-5.331176917107789e+276,0.0579682473666802,9.196719168315097e+279,5.331176917107789e+276 +308.71111111111117,-8.589085084120269e+276,0.056914623802093535,1.5091174306952601e+280,8.589085084120269e+276 +320.0353535353535,-1.3719584136006923e+277,0.05589861168911246,2.4543693879751808e+280,1.3719584136006923e+277 +331.5636363636364,-2.1733873559806485e+277,0.05491823270458984,3.957496898473584e+280,2.1733873559806485e+277 +343.2959595959596,-3.415548922630191e+277,0.05397164485846128,6.328413617163876e+280,3.415548922630191e+277 +355.23232323232315,-5.326350031954297e+277,0.05305713095029715,1.0038895689523647e+281,5.326350031954297e+277 +367.37272727272733,-8.24436810181385e+277,0.05217308817903952,1.5801955355838063e+281,8.24436810181385e+277 +379.7171717171717,-1.266924107437939e+278,0.05131801877373956,2.468770497598105e+281,1.266924107437939e+278 +392.2656565656566,-1.933353373110785e+278,0.05049052153014586,3.829141221994424e+281,1.933353373110785e+278 +405.0181818181818,-2.930463187203445e+278,0.049689284152599475,5.897575779525773e+281,2.930463187203445e+278 +417.9747474747475,-4.412839038297682e+278,0.04891307631324428,9.021798199805335e+281,4.412839038297682e+278 +431.13535353535354,-6.603053155337416e+278,0.048160743351379466,1.371044692388097e+282,6.603053155337416e+278 +444.5,-9.819750710068339e+278,0.047431200545124896,2.0703146024579467e+282,9.819750710068339e+278 +458.06868686868694,-1.4516615592104026e+279,0.046723427895660606,3.1069243516382163e+282,1.4516615592104026e+279 +471.84141414141413,-2.133615965047418e+279,0.04603646537132293,4.63462159363888e+282,2.133615965047418e+279 +485.81818181818187,-3.1183614267932014e+279,0.04536940856494533,6.87326885103502e+282,3.1183614267932014e+279 +499.9989898989899,-4.5327958998582055e+279,0.044721404723154695,1.0135629522190146e+283,4.5327958998582055e+279 +514.3838383838383,-6.553942200805559e+279,0.0440916491109813,1.4864361694226716e+283,6.553942200805559e+279 +528.9727272727273,-9.427558375346302e+279,0.0434793816792084,2.168282530994342e+283,9.427558375346302e+279 +543.7656565656566,-1.3493345625206102e+280,0.042883884005454335,3.146484031971056e+283,1.3493345625206102e+280 +558.7626262626263,-1.921861657734719e+280,0.04230447648311271,4.542927409825994e+283,1.921861657734719e+280 +573.9636363636363,-2.72435371158212e+280,0.04174051573503447,6.526880810184772e+283,2.72435371158212e+280 +589.3686868686867,-3.844132321665774e+280,0.04119139223126649,9.332368034765938e+283,3.844132321665774e+280 +604.9777777777778,-5.3998172687148046e+280,0.040656528092309074,1.3281550398142038e+284,5.3998172687148046e+280 +620.790909090909,-7.551897787381282e+280,0.0401353750612545,1.881606382363587e+284,7.551897787381282e+280 +636.8080808080808,-1.0516662294964243e+281,0.039627412629852136,2.653885680904089e+284,1.0516662294964243e+281 +653.0292929292929,-1.4584488101373448e+281,0.03913214630504049,3.726983945037245e+284,1.4584488101373448e+281 +669.4545454545456,-2.0143772322580207e+281,0.038649106003814354,5.211963329913033e+284,2.0143772322580207e+281 +686.0838383838384,-2.771213788286e+281,0.03817784456547857,7.258696293168435e+284,2.771213788286e+281 +702.9171717171716,-3.79769918461979e+281,0.03771793637139398,1.006868230336175e+285,3.79769918461979e+281 +719.9545454545456,-5.1848069090785206e+281,0.03726897606326327,1.3911857680976864e+285,5.1848069090785206e+281 +737.1959595959595,-7.052528909183245e+281,0.03683057735184624,1.9148570063970816e+285,7.052528909183245e+281 +754.6414141414143,-9.558611969335401e+281,0.036402371908747795,2.6258211946453926e+285,9.558611969335401e+281 +772.290909090909,-1.290977186255254e+282,0.03598400833459866,3.587641416295411e+285,1.290977186255254e+282 +790.1444444444444,-1.7376008274906203e+282,0.035575151197554965,4.8843104498458e+285,1.7376008274906203e+282 +808.2020202020202,-2.3309059200752435e+282,0.035175480136589096,6.626507757745328e+285,2.3309059200752435e+282 +826.4636363636363,-3.1165520182159406e+282,0.0347846890245349,8.95955118649393e+285,3.1165520182159406e+282 +844.9292929292931,-4.1536548292160815e+282,0.03440248518629307,1.2073705741674198e+286,4.1536548292160815e+282 +863.5989898989899,-5.518528211405878e+282,0.03402858866800176,1.6217329097151592e+286,5.518528211405878e+282 +882.4727272727273,-7.309411880590221e+282,0.033662731553338154,2.171366238954362e+286,7.309411880590221e+282 +901.5505050505051,-9.65242478542718e+282,0.03330465732344284,2.898220717807214e+286,9.65242478542718e+282 +920.8323232323232,-1.2709043188600557e+283,0.03295412025725414,3.856587003199679e+286,1.2709043188600557e+283 +940.3181818181819,-1.6685470988592327e+283,0.03261088486930708,5.1165342662309864e+286,1.6685470988592327e+283 +960.0080808080808,-2.1844353006944317e+283,0.0322747253822947,6.768253718102188e+286,2.1844353006944317e+283 +979.9020202020204,-2.8519382790249476e+283,0.03194542523190951,8.927532685262913e+286,2.8519382790249476e+283 +1000,-3.7133478425081857e+283,0.03162277660168379,1.1742636926798086e+287,3.7133478425081857e+283