From d74194a5cfc484b60373c11b69035c175fecb60d Mon Sep 17 00:00:00 2001
From: "github-actions[bot]" <github-actions[bot]@users.noreply.github.com>
Date: Mon, 19 Feb 2024 20:43:17 +0000
Subject: [PATCH] Update dpnp.linalg.matrix_rank() implementation (#1717)

* Update dpnp.linalg.matrix_rank impl

* Add cupy tests for dpnp.linalg.matrix_rank

* Add dpnp tests for dpnp.linalg.matrix_rank

* Remove old impl of dpnp_matrix_rank

* Address remarks

* Address remarks d34b8ce47fc9220350f8adf6fd5bc8358df5c5b9
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329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 347, 348, 350, 351, 353, 356, 357, 359, 365, 367, 368, 369, 370, 371, 372, 373, 374, 376, 377, 378, 382, 383, 384, 386, 387, 388, 390, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 405, 407, 408, 409, 411, 413, 417, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 439], "done": [3, 82, 265], "see": [3, 31, 84, 128, 171, 342, 386, 416, 417, 419, 420, 439], "complet": [3, 4, 173, 385, 439], "list": [3, 6, 9, 32, 34, 35, 36, 38, 40, 41, 42, 49, 57, 61, 74, 77, 83, 84, 134, 135, 136, 142, 177, 188, 190, 381, 387, 390, 400, 409, 412, 425, 428], "support": [3, 9, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 37, 38, 45, 46, 47, 48, 49, 50, 52, 53, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 80, 82, 84, 85, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 138, 139, 140, 143, 144, 148, 149, 150, 151, 152, 153, 158, 159, 160, 162, 165, 175, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 190, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 324, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 343, 344, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 365, 366, 367, 368, 369, 370, 371, 372, 373, 376, 378, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 407, 408, 411, 413, 421, 422, 424, 426, 429, 430, 431, 447], "along": [3, 4, 14, 16, 17, 19, 28, 29, 30, 43, 56, 57, 67, 70, 71, 74, 77, 79, 82, 83, 85, 120, 121, 122, 125, 126, 136, 138, 142, 147, 148, 171, 173, 177, 188, 189, 191, 192, 193, 194, 195, 197, 198, 203, 204, 205, 206, 207, 208, 209, 211, 212, 213, 262, 263, 264, 271, 281, 283, 288, 289, 299, 301, 303, 305, 319, 320, 321, 377, 379, 384, 385, 387, 396, 400, 401, 403, 405, 406, 409, 410, 411, 413, 416, 419, 426, 428, 439], "limit": [3, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 38, 45, 46, 47, 48, 49, 50, 52, 53, 55, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 80, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 138, 139, 140, 143, 144, 145, 148, 149, 150, 151, 152, 153, 158, 159, 160, 162, 165, 175, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 190, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 267, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 324, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 347, 348, 350, 351, 353, 356, 359, 361, 362, 363, 364, 365, 367, 368, 369, 370, 371, 372, 373, 376, 378, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 407, 408, 411, 413, 421, 422, 424, 426, 429, 430, 431], "To": 4, "program": [4, 123], "beyond": [4, 384], "cpu": [4, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 34, 35, 36, 38, 45, 46, 47, 48, 52, 53, 58, 59, 61, 62, 64, 65, 66, 68, 69, 70, 71, 74, 77, 78, 80, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 134, 135, 136, 138, 139, 140, 143, 144, 148, 149, 150, 151, 152, 153, 158, 159, 160, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 192, 194, 196, 198, 199, 200, 202, 205, 206, 210, 306, 307, 308, 309, 310, 311, 312, 314, 315, 316, 317, 320, 376, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 405, 407, 408, 413, 414, 421, 422, 425, 429, 430, 431], "you": [4, 406, 439], "need": [4, 137, 406], "appropri": [4, 28, 29, 137, 189, 191, 197, 203, 204, 207, 209, 325, 353, 356, 377, 439], "hardwar": 4, "work": [4, 31, 39, 72, 199, 323, 406, 439], "fine": 4, "laptop": 4, "graphic": 4, "In": [4, 28, 29, 161, 173, 188, 208, 320, 325, 369, 380, 405], "major": [4, 34, 35, 36, 38, 82, 265, 277, 374], "case": [4, 20, 28, 29, 32, 34, 35, 36, 38, 43, 61, 74, 77, 79, 88, 89, 97, 134, 135, 136, 144, 173, 176, 177, 188, 196, 210, 309, 310, 311, 317, 318, 380, 409, 414, 425, 430, 431], "your": 4, "window": 4, "alreadi": [4, 35, 40, 41, 42], "ha": [4, 18, 30, 43, 45, 46, 47, 48, 84, 94, 104, 109, 131, 142, 146, 149, 174, 176, 189, 193, 208, 211, 212, 213, 320, 375, 376, 377, 379, 385, 399, 400, 401, 403, 404, 410, 426, 439], "all": [4, 6, 9, 15, 19, 33, 43, 56, 67, 79, 82, 83, 84, 92, 93, 95, 97, 120, 121, 122, 136, 142, 144, 161, 169, 172, 177, 188, 203, 204, 207, 209, 212, 265, 268, 274, 287, 318, 327, 384, 387, 397, 399, 428, 439], "necessari": [4, 20, 32, 34, 35, 36, 38, 40, 63, 136, 177, 188, 190, 193, 208, 211, 212, 213, 380, 401, 403, 426], "But": [4, 84], "want": [4, 406], "up": [4, 84, 122], "date": 4, "alwai": [4, 30, 34, 82, 211, 213, 265, 380, 401, 426], "updat": 4, "latest": [4, 128], "follow": [4, 43, 84, 94, 118, 145, 172, 409, 439, 443], "instruct": 4, "step": [4, 20, 136, 177, 188], "8": [4, 13, 15, 40, 52, 55, 63, 74, 75, 79, 82, 84, 120, 136, 146, 150, 163, 174, 176, 177, 188, 205, 316, 317, 319, 325, 349, 368, 375, 384, 388, 394, 405, 409, 413, 415, 418, 425, 429], "9": [4, 13, 40, 55, 63, 74, 75, 80, 82, 88, 98, 124, 136, 172, 173, 176, 188, 202, 279, 319, 325, 327, 329, 349, 375, 384, 397, 402, 409, 415, 418, 421, 425, 429], "10": [4, 13, 22, 24, 28, 29, 43, 55, 61, 71, 75, 79, 82, 84, 95, 134, 136, 141, 146, 158, 179, 180, 181, 182, 188, 189, 194, 202, 293, 319, 321, 325, 327, 337, 349, 377, 381, 382, 384, 386, 400, 406, 415, 418, 429], "If": [4, 15, 20, 28, 29, 30, 32, 34, 35, 36, 37, 38, 43, 55, 57, 74, 79, 81, 82, 84, 94, 97, 118, 120, 136, 142, 146, 147, 161, 169, 170, 171, 172, 173, 176, 177, 188, 189, 191, 193, 195, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 295, 297, 321, 325, 347, 369, 375, 376, 377, 380, 384, 387, 396, 397, 399, 400, 401, 403, 404, 406, 409, 410, 412, 425, 426, 427, 428, 439], "yet": [4, 6], "easiest": 4, "It": [4, 28, 29, 55, 81, 189, 190, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 377, 401, 403, 426], "essenti": 4, "machin": [4, 118, 145], "optim": [4, 87], "includ": [4, 20, 28, 29, 32, 34, 35, 36, 37, 38, 43, 61, 74, 77, 134, 135, 136, 137, 172, 177, 188, 189, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 318, 325, 369, 377, 401, 403, 425, 426], "anoth": [4, 63, 82, 128, 270, 289, 320, 385], "vendor": 4, "too": 4, "manual": [4, 84, 410], "shown": 4, "next": [4, 118], "section": [4, 84, 439], "recommend": [4, 307, 410], "org": 4, "channel": 4, "command": 4, "forg": 4, "pip": 4, "http": [4, 128], "pypi": 4, "simpl": [4, 187, 443], "These": [4, 84, 94, 201, 439, 443], "its": [4, 6, 15, 30, 31, 43, 58, 59, 74, 82, 99, 105, 118, 143, 144, 165, 166, 172, 193, 208, 211, 213, 304, 362, 374, 377, 380, 386, 396, 401, 412, 414, 426, 439], "depend": [4, 165, 171, 173, 176, 177, 390, 429], "control": [4, 51, 57, 63, 82, 142, 190, 265, 387, 400, 428], "requir": [4, 6, 32, 36, 38, 82, 84, 147, 265], "compil": [4, 84, 137], "runtim": 4, "onemkl": 4, "befor": [4, 30, 57, 82, 121, 122, 189, 211, 212, 213, 287, 297, 377, 384, 385, 396, 401, 403, 410, 426, 427], "strongli": [4, 410], "advis": 4, "version": [4, 82, 84, 276, 307], "activ": 4, "local": 4, "environ": 4, "env": 4, "And": [4, 75, 82, 265], "sourc": [4, 6, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431], "recip": 4, "finanli": 4, "setuptool": 4, "o": [4, 84], "On": 4, "linux": 4, "cython": 4, "dpcpp_linux": 4, "mkl": 4, "devel": 4, "dpcpp": 4, "tbb": 4, "onedpl": 4, "cmake": 4, "ninja": 4, "pytest": 4, "dpcpp_win": 4, "setup": 4, "py": 4, "g": [4, 82, 84, 88, 89, 97, 134, 135, 144, 300, 310, 311, 325, 414, 430, 431], "dcmake_c_compil": 4, "path": 4, "icx": 4, "dcmake_cxx_compil": 4, "icpx": 4, "script": 4, "build_loc": 4, "suit": 4, "element": [4, 11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 33, 43, 44, 45, 46, 47, 48, 52, 53, 55, 58, 59, 62, 63, 65, 66, 70, 71, 79, 80, 82, 84, 85, 90, 92, 93, 95, 96, 97, 98, 120, 121, 122, 123, 124, 125, 126, 127, 139, 140, 143, 144, 146, 147, 149, 150, 151, 152, 153, 158, 159, 160, 161, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 195, 197, 198, 199, 200, 202, 205, 206, 207, 209, 210, 211, 212, 213, 260, 261, 268, 269, 271, 273, 274, 277, 279, 280, 282, 284, 286, 287, 292, 293, 294, 296, 299, 300, 303, 305, 306, 307, 308, 314, 315, 316, 317, 318, 320, 322, 374, 375, 376, 377, 378, 379, 380, 382, 383, 384, 385, 386, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 407, 408, 409, 410, 415, 418, 421, 422, 423, 426, 429, 439, 443], "asarrai": [4, 6, 34, 36, 38, 39], "y": [4, 20, 32, 34, 35, 36, 38, 40, 49, 61, 68, 69, 74, 77, 82, 84, 88, 89, 94, 97, 131, 134, 135, 136, 138, 144, 177, 188, 195, 196, 200, 270, 293, 304, 309, 310, 311, 397, 413, 414, 425, 429, 430, 431], "locat": [4, 137, 336, 338], "same": [4, 13, 15, 26, 30, 31, 33, 36, 38, 39, 43, 45, 47, 48, 50, 56, 57, 62, 72, 79, 80, 81, 82, 83, 89, 90, 94, 96, 124, 125, 126, 127, 128, 135, 139, 140, 142, 143, 158, 159, 160, 173, 178, 183, 184, 185, 186, 187, 191, 192, 193, 197, 198, 199, 202, 207, 208, 209, 211, 212, 213, 265, 293, 308, 311, 312, 316, 320, 321, 323, 325, 347, 353, 369, 374, 376, 378, 379, 382, 384, 385, 387, 396, 397, 398, 399, 400, 401, 402, 403, 406, 409, 415, 417, 418, 420, 421, 426, 427, 428, 431], "shape": [4, 6, 28, 29, 32, 33, 36, 42, 43, 49, 50, 52, 55, 57, 62, 64, 68, 69, 75, 79, 81, 82, 83, 84, 88, 89, 93, 94, 96, 120, 131, 134, 135, 142, 147, 163, 167, 169, 173, 174, 175, 176, 184, 185, 186, 187, 189, 190, 191, 193, 195, 196, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 265, 293, 298, 304, 309, 310, 311, 320, 321, 325, 334, 337, 342, 343, 348, 352, 353, 354, 355, 356, 357, 358, 360, 365, 366, 372, 374, 376, 377, 379, 380, 384, 385, 387, 388, 396, 397, 398, 399, 400, 401, 403, 405, 409, 410, 412, 414, 415, 418, 419, 426, 428, 430, 431, 432, 443], "0": [4, 6, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 40, 41, 42, 43, 44, 51, 53, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 73, 74, 75, 77, 78, 79, 80, 81, 82, 84, 85, 88, 89, 90, 91, 92, 94, 95, 97, 98, 101, 115, 118, 120, 121, 122, 123, 124, 125, 126, 127, 134, 135, 136, 138, 141, 144, 147, 148, 151, 152, 153, 161, 165, 167, 169, 174, 177, 178, 179, 180, 181, 182, 185, 187, 188, 190, 191, 192, 193, 195, 196, 197, 198, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 270, 272, 274, 278, 279, 291, 294, 297, 299, 300, 301, 304, 305, 307, 309, 310, 311, 316, 317, 318, 319, 320, 321, 324, 325, 327, 332, 334, 335, 336, 338, 339, 340, 342, 343, 344, 347, 349, 350, 351, 352, 355, 357, 358, 359, 360, 363, 366, 368, 369, 370, 376, 378, 379, 383, 384, 385, 386, 388, 390, 391, 392, 394, 395, 396, 398, 399, 400, 401, 402, 403, 404, 405, 406, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 424, 425, 426, 429, 430, 431], "expect": [4, 18, 52, 62, 81, 84, 93, 189, 193, 208, 211, 212, 213, 376, 377, 388, 401, 403, 426], "comput": [4, 26, 31, 43, 45, 46, 47, 48, 53, 79, 94, 98, 99, 100, 101, 102, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 123, 124, 141, 147, 148, 149, 162, 163, 164, 166, 167, 170, 171, 172, 173, 174, 176, 184, 185, 186, 187, 189, 190, 191, 193, 194, 197, 199, 207, 208, 209, 211, 212, 213, 377, 378, 383, 386, 388, 401, 403, 408, 409, 422, 426], "empti": [4, 6, 32, 82, 89, 134, 135, 212, 274, 310, 311, 430, 431], "found": [4, 439], "here": [6, 30, 84, 396], "correspond": [6, 20, 28, 29, 32, 34, 35, 36, 37, 38, 55, 57, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 165, 177, 188, 190, 196, 273, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 384, 391, 401, 409, 412, 414, 425, 426, 430, 431, 439], "column": [6, 34, 35, 36, 38, 56, 57, 82, 83, 97, 121, 122, 142, 144, 165, 170, 173, 176, 265, 277, 374, 387, 400, 414, 416, 419, 425, 428], "v1": 6, "23": [6, 325], "v0": 6, "15": [6, 28, 29, 71, 75, 172, 180, 349], "0dev0": 6, "16": [6, 45, 75, 84, 136, 138, 202, 316, 407], "g16e76a92d0": 6, "v9": 6, "397": 6, "233": 6, "299": 6, "56": 6, "36": 6, "47": 6, "20": [6, 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127, 139, 140, 142, 146, 149, 150, 151, 152, 153, 158, 159, 160, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 191, 192, 197, 198, 199, 200, 202, 207, 209, 210, 269, 306, 308, 315, 316, 318, 375, 376, 378, 382, 383, 386, 387, 388, 392, 393, 394, 395, 397, 398, 400, 402, 407, 408, 421, 422, 428, 439], "contain": [11, 12, 14, 19, 20, 28, 29, 45, 46, 47, 48, 55, 63, 82, 84, 128, 137, 147, 149, 158, 165, 173, 176, 189, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 293, 325, 376, 377, 382, 397, 401, 403, 412, 416, 419, 426, 439], "paramet": [11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 74, 77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 120, 121, 122, 123, 124, 125, 126, 127, 128, 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35, 36, 38, 40, 43, 52, 53, 55, 58, 59, 61, 64, 65, 66, 68, 78, 82, 84, 85, 88, 89, 92, 93, 95, 97, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 123, 129, 130, 131, 132, 133, 134, 135, 136, 147, 151, 152, 153, 158, 161, 173, 176, 177, 178, 179, 180, 181, 182, 185, 188, 190, 191, 193, 194, 197, 203, 204, 207, 208, 209, 210, 211, 213, 265, 297, 306, 310, 311, 313, 315, 317, 318, 320, 325, 347, 353, 369, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 401, 403, 405, 406, 407, 408, 411, 422, 426, 429, 430, 431, 439], "either": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 38, 43, 45, 46, 47, 48, 52, 53, 58, 59, 62, 65, 66, 67, 80, 84, 90, 92, 93, 95, 96, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 139, 140, 143, 149, 150, 151, 152, 153, 158, 159, 160, 171, 173, 175, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 191, 192, 197, 198, 199, 202, 203, 204, 207, 209, 210, 212, 306, 307, 308, 312, 314, 315, 316, 317, 318, 320, 361, 377, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 403, 405, 406, 407, 408, 421, 422, 429], "tensor": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 37, 45, 46, 47, 48, 52, 53, 58, 59, 62, 65, 66, 67, 80, 82, 90, 92, 93, 95, 96, 123, 124, 125, 126, 127, 139, 140, 143, 148, 149, 151, 152, 153, 158, 159, 160, 165, 175, 179, 180, 181, 182, 183, 184, 185, 186, 187, 191, 192, 197, 198, 199, 202, 203, 204, 207, 209, 210, 306, 307, 308, 312, 314, 315, 316, 317, 318, 319, 320, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 405, 407, 408, 409, 421, 422, 429], "usm_ndarrai": [11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 37, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 62, 63, 65, 66, 67, 79, 80, 81, 82, 83, 89, 90, 92, 93, 94, 95, 96, 120, 121, 122, 123, 124, 125, 126, 127, 135, 139, 140, 142, 143, 146, 149, 151, 152, 153, 158, 159, 160, 161, 163, 165, 167, 169, 172, 173, 174, 175, 176, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 192, 193, 195, 197, 198, 199, 201, 202, 203, 204, 207, 208, 209, 210, 211, 212, 213, 265, 306, 307, 308, 311, 312, 314, 315, 316, 317, 318, 319, 320, 321, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 412, 415, 418, 421, 422, 426, 427, 428, 429, 431], "keyword": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 52, 53, 55, 62, 65, 66, 69, 70, 71, 80, 85, 92, 93, 95, 98, 123, 124, 125, 126, 127, 138, 143, 148, 149, 158, 180, 181, 182, 183, 190, 192, 198, 199, 200, 202, 205, 206, 306, 315, 316, 318, 376, 378, 382, 383, 388, 392, 393, 394, 395, 402, 407, 408, 413, 421, 422, 439], "argument": [11, 12, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 51, 52, 53, 55, 57, 62, 65, 66, 69, 70, 71, 80, 81, 82, 84, 85, 91, 92, 93, 95, 98, 123, 124, 125, 126, 127, 138, 143, 146, 148, 149, 155, 156, 158, 170, 180, 181, 182, 183, 190, 192, 198, 199, 200, 202, 205, 206, 293, 306, 315, 316, 318, 375, 376, 378, 381, 382, 383, 388, 392, 393, 394, 395, 400, 402, 407, 408, 409, 413, 421, 422, 439], "unsupport": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 52, 53, 55, 62, 65, 66, 69, 70, 71, 80, 92, 93, 95, 98, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 123, 124, 125, 126, 127, 138, 143, 148, 149, 158, 170, 180, 181, 182, 183, 192, 198, 199, 200, 202, 205, 206, 306, 315, 316, 318, 376, 378, 382, 383, 388, 392, 393, 394, 395, 402, 407, 408, 413, 421, 422], "sequenti": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 45, 46, 47, 48, 52, 53, 58, 59, 62, 64, 65, 66, 68, 69, 70, 71, 78, 80, 85, 86, 87, 90, 91, 92, 93, 95, 96, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 138, 139, 140, 143, 148, 149, 150, 151, 152, 153, 158, 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199, 200, 202, 205, 206, 265, 306, 308, 312, 313, 315, 316, 322, 323, 324, 362, 378, 382, 384, 389, 402, 411, 413, 417, 420, 421, 424], "x2": [13, 14, 15, 18, 19, 25, 26, 32, 45, 47, 48, 62, 64, 69, 80, 90, 124, 125, 126, 127, 139, 140, 143, 148, 150, 157, 158, 159, 160, 183, 184, 185, 186, 187, 190, 192, 195, 198, 199, 202, 306, 307, 308, 312, 315, 316, 378, 382, 384, 389, 397, 402, 421], "scalar": [13, 15, 26, 32, 34, 35, 36, 37, 38, 45, 47, 48, 51, 61, 62, 63, 74, 77, 79, 80, 81, 82, 84, 90, 124, 125, 126, 127, 134, 135, 136, 139, 140, 143, 154, 158, 159, 160, 175, 177, 183, 184, 186, 187, 188, 190, 192, 195, 198, 199, 202, 274, 279, 308, 312, 316, 321, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 344, 347, 348, 350, 351, 353, 356, 359, 361, 365, 367, 368, 369, 370, 371, 372, 373, 378, 382, 402, 409, 421, 425, 427, 429, 439], "both": [13, 15, 26, 43, 45, 47, 48, 55, 62, 80, 81, 90, 124, 125, 126, 127, 139, 140, 143, 158, 159, 160, 171, 183, 184, 186, 187, 190, 192, 198, 199, 202, 212, 308, 312, 316, 378, 382, 402, 409, 421, 427], "equival": [13, 14, 16, 17, 19, 28, 29, 30, 31, 43, 61, 80, 81, 82, 83, 94, 189, 202, 220, 260, 261, 293, 304, 315, 324, 325, 353, 377, 380, 386, 391, 396, 402, 403, 409, 412, 421, 439], "term": [13, 80, 202, 402, 421], "broadcast": [13, 43, 49, 50, 55, 63, 80, 125, 126, 143, 171, 172, 184, 186, 187, 189, 190, 192, 193, 198, 202, 208, 211, 212, 213, 316, 320, 321, 377, 379, 401, 402, 403, 406, 410, 421, 426], "b": [13, 15, 28, 29, 45, 48, 56, 57, 63, 70, 71, 81, 82, 83, 84, 85, 90, 127, 139, 140, 142, 148, 159, 160, 163, 172, 174, 175, 176, 184, 186, 190, 191, 197, 205, 206, 308, 312, 316, 326, 387, 400, 409, 410, 413, 427, 428], "7": [13, 15, 20, 40, 53, 55, 63, 67, 71, 74, 75, 79, 80, 82, 85, 92, 120, 123, 136, 138, 150, 176, 194, 202, 206, 279, 307, 318, 319, 325, 349, 375, 378, 381, 383, 384, 402, 403, 404, 405, 409, 415, 418, 421, 422, 427, 429], "oper": [13, 45, 46, 47, 48, 80, 84, 90, 94, 124, 139, 140, 149, 158, 159, 160, 161, 184, 185, 186, 187, 190, 202, 306, 308, 315, 316, 320, 378, 382, 402, 410, 421, 432, 443], "axi": [14, 16, 17, 18, 19, 28, 29, 30, 43, 56, 57, 67, 69, 70, 71, 79, 82, 83, 85, 94, 99, 104, 105, 109, 110, 113, 120, 121, 122, 125, 126, 136, 138, 142, 147, 171, 177, 188, 189, 190, 191, 192, 193, 194, 197, 198, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 264, 271, 281, 282, 283, 287, 288, 289, 292, 297, 298, 299, 301, 303, 305, 313, 317, 319, 320, 321, 374, 377, 379, 380, 384, 385, 387, 396, 399, 400, 401, 403, 404, 405, 406, 409, 410, 412, 413, 426, 428, 439], "keepdim": [14, 16, 17, 19, 28, 29, 43, 67, 82, 171, 189, 191, 193, 194, 197, 203, 204, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 281, 282, 283, 288, 299, 301, 305, 317, 319, 321, 377, 401, 403, 406, 426], "fals": [14, 15, 16, 17, 18, 19, 28, 29, 32, 33, 36, 38, 43, 45, 46, 48, 49, 50, 51, 61, 67, 68, 82, 84, 89, 90, 117, 135, 136, 139, 140, 147, 149, 150, 151, 152, 153, 159, 160, 161, 169, 171, 172, 176, 177, 184, 185, 186, 187, 188, 189, 191, 193, 194, 195, 197, 203, 204, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 265, 281, 282, 283, 288, 299, 301, 305, 308, 311, 317, 319, 377, 380, 393, 401, 403, 425, 426, 431], "whether": [14, 15, 19, 84, 161, 173, 177, 380], "given": [14, 19, 20, 28, 29, 31, 32, 34, 35, 36, 38, 43, 56, 61, 67, 68, 70, 71, 79, 81, 82, 83, 84, 85, 88, 89, 117, 120, 125, 126, 134, 135, 136, 138, 143, 167, 177, 188, 191, 192, 195, 197, 198, 205, 206, 207, 209, 210, 211, 212, 213, 262, 263, 265, 271, 283, 288, 289, 294, 299, 301, 305, 310, 311, 317, 319, 320, 325, 330, 352, 369, 377, 379, 383, 384, 385, 386, 387, 401, 403, 409, 410, 413, 414, 426, 428, 430, 431, 439], "evalu": [14, 15, 19, 82, 86, 87, 90, 148, 195, 260, 261, 312, 409], "logic": [14, 19, 184, 186, 187, 432, 443], "AND": [14, 45, 46, 47, 48, 149, 184, 185, 186, 187], "reduct": [14, 19], "method": [14, 16, 17, 19, 30, 61, 81, 82, 84, 119, 128, 130, 169, 172, 176, 265, 270, 293, 325, 380, 391, 403, 412, 432], "Not": [14, 19, 151, 205, 207, 209, 210, 212, 317], "number": [14, 18, 19, 20, 31, 43, 44, 49, 50, 58, 59, 67, 77, 79, 82, 84, 94, 97, 118, 123, 124, 136, 144, 145, 151, 162, 169, 171, 173, 174, 176, 177, 178, 188, 205, 207, 209, 210, 211, 212, 213, 285, 294, 295, 296, 307, 317, 318, 325, 327, 337, 361, 378, 379, 383, 384, 385, 386, 392, 393, 401, 404, 410, 412, 414, 422, 425, 426, 443], "becaus": [14, 19], "x3": [14, 19], "rtol": [15, 150], "1e": [15, 95, 150, 172, 180, 181, 183, 343], "05": [15, 150], "atol": [15, 150], "08": [15, 65, 150, 343, 394], "two": [15, 33, 40, 41, 45, 46, 47, 48, 60, 64, 69, 77, 79, 81, 82, 84, 86, 87, 148, 149, 150, 157, 165, 170, 175, 184, 186, 187, 190, 191, 192, 197, 198, 201, 207, 209, 287, 302, 312, 325, 354, 404, 409, 416, 419, 427], "within": [15, 20, 33, 82, 150, 265, 320, 325, 369], "toler": [15, 33, 150], "A": [15, 20, 32, 34, 35, 36, 37, 38, 49, 50, 52, 55, 56, 61, 62, 63, 74, 77, 82, 84, 88, 89, 93, 94, 97, 120, 121, 122, 128, 130, 133, 134, 135, 136, 144, 147, 161, 166, 169, 173, 174, 177, 188, 190, 196, 210, 212, 265, 270, 277, 295, 309, 310, 311, 317, 325, 327, 344, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 374, 376, 379, 388, 393, 404, 409, 410, 412, 414, 425, 430, 431], "boolean": [15, 45, 47, 48, 63, 84, 147, 150, 151, 152, 153, 184, 185, 186, 187, 189, 193, 208, 210, 211, 212, 213, 377, 380, 393, 401, 403, 405, 426], "dim": 15, "typeerror": [15, 43, 63, 67, 99, 105, 113], "rais": [15, 20, 30, 32, 34, 35, 36, 38, 49, 50, 54, 55, 61, 63, 67, 81, 82, 88, 89, 93, 97, 99, 105, 113, 134, 135, 144, 168, 189, 190, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 266, 295, 310, 311, 316, 377, 380, 396, 398, 399, 401, 403, 426, 430, 431], "integ": [15, 20, 31, 43, 45, 46, 47, 48, 50, 82, 84, 123, 124, 145, 149, 150, 158, 168, 171, 189, 191, 193, 197, 207, 208, 209, 211, 212, 213, 297, 316, 320, 325, 353, 356, 361, 377, 378, 380, 382, 383, 386, 398, 401, 403, 405, 409, 422, 426, 439], "1e10": [15, 150], "00001e10": [15, 150], "initi": [16, 17, 82, 88, 133, 191, 197, 207, 209, 210, 212, 281, 283, 288, 301, 317, 325, 403], "alia": [16, 17, 80, 118, 214, 325, 355, 358, 360, 387, 421, 428], "z": [18, 20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 131, 134, 135, 136, 144, 177, 188, 195, 196, 309, 310, 311, 335, 414, 425, 430, 431], "deg": [18, 324], "point": [18, 20, 25, 34, 35, 43, 62, 84, 88, 89, 93, 97, 118, 134, 135, 144, 177, 189, 193, 208, 211, 212, 213, 310, 311, 325, 354, 366, 376, 377, 388, 401, 403, 414, 426, 430, 431, 443], "option": [18, 20, 28, 29, 30, 32, 34, 35, 36, 37, 38, 43, 51, 52, 55, 57, 61, 62, 63, 74, 77, 79, 81, 82, 84, 88, 89, 93, 97, 120, 134, 135, 136, 142, 144, 147, 161, 169, 170, 171, 172, 173, 176, 177, 188, 189, 190, 191, 193, 195, 196, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 277, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 374, 376, 377, 379, 380, 384, 385, 387, 388, 396, 399, 400, 401, 403, 405, 412, 414, 415, 416, 417, 418, 419, 420, 425, 426, 428, 430, 431], "counterclockwis": 18, "plane": 18, "determin": [18, 156, 163, 173, 174, 184, 186, 187, 190], "promot": [18, 20, 32, 34, 35, 36, 38, 51, 136, 177, 188, 190, 381, 410], "rule": [18, 20, 32, 34, 35, 36, 38, 43, 51, 63, 136, 177, 188, 189, 190, 193, 208, 211, 212, 213, 377, 381, 401, 403, 413, 426], "although": [18, 84, 410], "undefin": [18, 82, 287], "arc": [18, 25, 26], "tangent": [18, 21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "quadrant": [18, 25, 26], "correctli": [18, 25, 26, 171, 307], "trigonometr": [18, 21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408, 443], "invers": [18, 21, 22, 23, 24, 25, 26, 27, 46, 65, 66, 93, 94, 95, 105, 106, 107, 108, 109, 110, 111, 112, 149, 167, 172, 179, 181, 371, 394, 395, 407, 408], "0j": [18, 81, 82, 190, 278, 291, 392], "57079633": [18, 26, 324, 424], "78539816": [18, 25, 26, 424], "mai": [18, 51, 55, 57, 63, 82, 84, 94, 142, 165, 173, 188, 190, 208, 211, 213, 265, 321, 387, 400, 410, 428, 439], "vari": [18, 147, 165, 208, 211, 213], "90": [18, 73, 429], "45": [18, 26], "OR": [19, 45, 46, 47, 48, 149, 184, 185, 186, 187], "stop": [20, 136, 177, 188], "like": [20, 32, 34, 35, 36, 38, 40, 41, 42, 56, 82, 83, 88, 97, 134, 136, 144, 177, 178, 188, 265, 310, 325, 369, 380, 430, 443], "usm_typ": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 414, 425, 430, 431], "sycl_queu": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "evenli": [20, 136, 177, 188, 383, 386], "interv": [20, 94, 136, 177, 188, 325, 353, 355, 357, 358, 360, 368, 369, 404], "end": [20, 84, 136, 177, 188], "doe": [20, 51, 173], "some": [20, 84, 94, 96, 123, 439], "off": 20, "affect": 20, "length": [20, 43, 79, 82, 90, 136, 142, 176, 188, 195, 295, 328, 380, 381, 387, 391, 399, 409, 410, 428], "between": [20, 51, 79, 85, 118, 166, 177, 188, 342, 356, 424], "specifi": [20, 30, 32, 34, 35, 36, 38, 43, 50, 51, 57, 61, 74, 77, 78, 82, 88, 89, 97, 120, 134, 135, 136, 144, 148, 171, 177, 188, 189, 193, 194, 196, 208, 210, 211, 212, 213, 264, 272, 309, 310, 311, 317, 325, 338, 348, 366, 374, 377, 384, 385, 400, 401, 403, 409, 412, 414, 425, 426, 430, 431], "must": [20, 28, 29, 43, 50, 52, 55, 56, 57, 62, 79, 81, 83, 93, 94, 96, 121, 142, 161, 170, 171, 178, 189, 190, 191, 193, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 320, 321, 376, 377, 384, 387, 388, 400, 401, 403, 404, 406, 409, 412, 426, 428], "desir": [20, 32, 34, 35, 36, 38, 50, 88, 89, 97, 134, 135, 136, 144, 177, 188, 310, 311, 385, 410, 414, 430, 431], "repres": [20, 32, 34, 35, 36, 37, 38, 43, 82, 84, 128, 136, 147, 174, 177, 188, 195, 213, 295, 325, 439], "consid": [20, 32, 34, 35, 36, 38, 87, 136, 151, 169, 177, 188, 190, 325, 353], "capabl": [20, 32, 34, 35, 36, 38, 43, 136, 177, 188, 190], "when": [20, 32, 34, 35, 36, 38, 43, 61, 63, 82, 84, 136, 171, 173, 177, 188, 190, 207, 209, 265, 385, 405, 409, 429], "string": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 84, 88, 89, 97, 133, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "sycldevic": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "syclqueu": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "concept": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "output": [20, 30, 32, 34, 35, 36, 37, 38, 52, 55, 61, 62, 74, 77, 79, 81, 84, 88, 89, 90, 93, 97, 134, 135, 136, 139, 140, 144, 146, 147, 159, 160, 168, 170, 177, 188, 190, 193, 195, 196, 204, 208, 211, 212, 213, 256, 308, 309, 310, 311, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 344, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 379, 388, 396, 399, 401, 403, 410, 414, 425, 426, 430, 431, 443], "oneapi": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "filter": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "selector": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "non": [20, 28, 29, 32, 34, 35, 36, 37, 38, 43, 44, 61, 67, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 151, 165, 177, 188, 191, 196, 197, 203, 204, 207, 209, 211, 213, 286, 307, 309, 310, 311, 316, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 397, 409, 414, 425, 430, 431], "object": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 84, 88, 89, 94, 97, 118, 119, 128, 132, 134, 135, 136, 144, 145, 147, 165, 171, 177, 178, 188, 196, 293, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 380, 414, 425, 430, 431, 439], "dpnp_arrai": [20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 118, 128, 134, 135, 136, 144, 145, 147, 177, 188, 190, 196, 213, 214, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 401, 414, 415, 418, 425, 426, 430, 431, 432], "properti": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 173, 177, 188, 196, 215, 273, 275, 276, 278, 280, 284, 285, 291, 295, 296, 300, 304, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "share": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 414, 425, 430, 431], "usm": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 399, 414, 425, 430, 431], "d": [20, 43, 56, 57, 74, 75, 77, 81, 83, 84, 97, 100, 101, 102, 106, 107, 111, 112, 114, 115, 116, 121, 122, 133, 142, 144, 163, 165, 170, 171, 174, 190, 195, 307, 316, 320, 330, 374, 380, 387, 391, 400, 405, 409, 410, 425, 428, 429, 439], "notimplementederror": [20, 30, 32, 34, 35, 36, 38, 49, 50, 55, 61, 82, 88, 89, 97, 134, 135, 144, 190, 191, 193, 197, 207, 208, 209, 211, 212, 213, 265, 310, 311, 396, 401, 403, 426, 430, 431], "care": 20, "handl": [20, 84, 307, 405, 443], "endpoint": [20, 136, 177, 188], "level_zero": [20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 177, 188, 196, 309, 310, 311, 414, 425, 430, 431], "cosin": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "sine": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "hyperbol": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408, 443], "14159265": [21, 26], "65745445": 22, "99322285": 22, "5707963267948966": 23, "72538256": 24, "99822295": 24, "180": 26, "135": 26, "54930614": 27, "search": [28, 29, 203, 204, 432, 443], "index": [28, 29, 30, 54, 82, 84, 97, 147, 195, 203, 204, 266, 300, 320, 321, 374, 380, 405, 406, 432, 443], "should": [28, 29, 81, 82, 137, 150, 189, 190, 191, 197, 201, 203, 204, 207, 209, 265, 342, 377, 380, 389, 409, 439], "reduc": [28, 29, 43, 173, 176, 189, 191, 193, 195, 197, 203, 204, 207, 208, 209, 211, 212, 213, 377, 401, 403, 426], "ax": [28, 29, 43, 79, 81, 82, 94, 100, 102, 103, 106, 107, 108, 111, 112, 114, 116, 120, 148, 171, 175, 189, 190, 191, 193, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 295, 302, 304, 377, 384, 385, 399, 401, 403, 404, 409, 410, 412, 426], "dimens": [28, 29, 32, 40, 41, 42, 43, 56, 57, 63, 68, 75, 79, 82, 84, 94, 121, 122, 142, 147, 169, 171, 173, 189, 191, 193, 195, 196, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 277, 285, 295, 309, 321, 325, 355, 357, 358, 360, 377, 380, 391, 399, 400, 401, 403, 404, 406, 410, 416, 417, 419, 420, 426, 439, 443], "singleton": [28, 29, 43, 94, 189, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 377, 399, 401, 403, 426], "accordingli": [28, 29, 191, 197, 203, 204, 207, 209], "first": [28, 29, 30, 43, 56, 57, 62, 81, 84, 93, 120, 155, 156, 170, 190, 191, 195, 197, 203, 204, 316, 374, 380, 384, 387, 396, 398, 404, 406, 409, 427, 428], "occurr": [28, 29, 44, 203, 204], "igonr": [28, 29, 203, 204], "convert": [28, 29, 32, 34, 35, 36, 37, 38, 40, 41, 42, 61, 72, 73, 74, 77, 84, 134, 135, 136, 177, 188, 323, 324, 424, 425], "flat": [28, 29, 82, 119, 277, 379], "tupl": [28, 29, 32, 34, 35, 36, 38, 43, 50, 61, 74, 75, 77, 82, 84, 94, 120, 134, 135, 136, 147, 171, 173, 177, 188, 189, 190, 191, 193, 195, 196, 197, 207, 208, 209, 211, 212, 213, 295, 307, 309, 377, 380, 384, 391, 399, 401, 403, 410, 412, 416, 419, 425, 426, 439], "appli": [28, 29, 30, 43, 51, 184, 186, 187, 381, 409], "index_arrai": [28, 29, 30], "call": [28, 29, 30, 36, 38, 84, 170, 220, 399, 410, 429], "multipl": [28, 29, 30, 43, 57, 84, 142, 165, 166, 167, 189, 191, 193, 197, 207, 208, 209, 211, 212, 213, 377, 387, 396, 400, 401, 403, 426, 428, 432], "11": [28, 29, 43, 66, 75, 82, 138, 293, 344, 353, 386, 395, 415, 418], "12": [28, 29, 42, 75, 84, 146, 188, 317, 319, 349, 415, 418], "13": [28, 29, 46, 75, 81, 84, 149, 190, 206], "14": [28, 29, 45, 46, 75, 81, 149, 409], "24": [28, 29, 70, 85, 317, 409], "re": [28, 29, 44, 141, 384, 423], "kind": [30, 51, 57, 63, 82, 84, 118, 142, 189, 190, 212, 264, 265, 287, 297, 313, 377, 387, 396, 400, 403, 428, 443], "would": [30, 57, 82, 84, 147, 190, 287, 325, 396, 400, 406, 412], "last": [30, 79, 120, 136, 170, 177, 188, 190, 374, 380, 384, 396, 399, 409], "stabl": [30, 396], "unlik": [30, 82, 293, 396], "other": [30, 49, 50, 79, 82, 84, 123, 144, 170, 201, 217, 218, 221, 223, 224, 226, 227, 228, 229, 230, 231, 232, 235, 236, 237, 238, 239, 240, 241, 243, 244, 245, 246, 247, 250, 252, 254, 257, 258, 259, 265, 318, 325, 369, 385, 396, 432, 443], "accept": [30, 325, 396], "yield": [30, 325, 439], "gener": [30, 43, 84, 136, 166, 172, 173, 188, 325, 327, 330, 361, 425, 439, 443], "irrespect": 30, "axiserror": [30, 396], "indirect": [30, 396], "partial": [30, 396], "ind": [30, 416, 419], "decim": [31, 82, 118, 294, 383, 386], "detail": [31, 128, 386, 416, 417, 419, 420, 439], "nearest": [31, 123, 124, 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"Special Functions": [[445, "special-functions"]], "Error Function": [[445, "error-function"]], "Statistical Functions": [[446, "statistical-functions"]], "Order statistics": [[446, "order-statistics"]], "Averages and variances": [[446, "averages-and-variances"]], "Histograms": [[446, "histograms"]], "Correlations": [[446, "correlations"]], "Universal Functions (ufunc)": [[447, "universal-functions-ufunc"]], "Available ufuncs": [[447, "available-ufuncs"]], "Math operations": [[447, "math-operations"]], "Bit-twiddling functions": [[447, "bit-twiddling-functions"]], "Comparison functions": [[447, "comparison-functions"]], "Floating functions": [[447, "floating-functions"]]}, "indexentries": {"dpnp": [[2, "module-dpnp"], [3, "module-dpnp"]], "module": [[2, "module-dpnp"], [3, "module-dpnp"], [10, "module-dpnp.fft"], [442, "module-dpnp.random"]], "dpnp.fft": [[10, "module-dpnp.fft"]], "abs() (in module dpnp)": [[11, "dpnp.abs"]], "absolute() (in module dpnp)": [[12, "dpnp.absolute"]], 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"broadcast_arrays() (in module dpnp)": [[49, "dpnp.broadcast_arrays"]], "broadcast_to() (in module dpnp)": [[50, "dpnp.broadcast_to"]], "can_cast() (in module dpnp)": [[51, "dpnp.can_cast"]], "cbrt() (in module dpnp)": [[52, "dpnp.cbrt"]], "ceil() (in module dpnp)": [[53, "dpnp.ceil"]], "choose() (in module dpnp)": [[54, "dpnp.choose"]], "clip() (in module dpnp)": [[55, "dpnp.clip"]], "column_stack() (in module dpnp)": [[56, "dpnp.column_stack"]], "concatenate() (in module dpnp)": [[57, "dpnp.concatenate"]], "conj() (in module dpnp)": [[58, "dpnp.conj"]], "conjugate() (in module dpnp)": [[59, "dpnp.conjugate"]], "convolve() (in module dpnp)": [[60, "dpnp.convolve"]], "copy() (in module dpnp)": [[61, "dpnp.copy"]], "copysign() (in module dpnp)": [[62, "dpnp.copysign"]], "copyto() (in module dpnp)": [[63, "dpnp.copyto"]], "correlate() (in module dpnp)": [[64, "dpnp.correlate"]], "cos() (in module dpnp)": [[65, "dpnp.cos"]], "cosh() (in module dpnp)": [[66, "dpnp.cosh"]], "count_nonzero() 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module dpnp)": [[159, "dpnp.less"]], "less_equal() (in module dpnp)": [[160, "dpnp.less_equal"]], "cholesky() (in module dpnp.linalg)": [[161, "dpnp.linalg.cholesky"]], "cond() (in module dpnp.linalg)": [[162, "dpnp.linalg.cond"]], "det() (in module dpnp.linalg)": [[163, "dpnp.linalg.det"]], "eig() (in module dpnp.linalg)": [[164, "dpnp.linalg.eig"]], "eigh() (in module dpnp.linalg)": [[165, "dpnp.linalg.eigh"]], "eigvals() (in module dpnp.linalg)": [[166, "dpnp.linalg.eigvals"]], "inv() (in module dpnp.linalg)": [[167, "dpnp.linalg.inv"]], "matrix_power() (in module dpnp.linalg)": [[168, "dpnp.linalg.matrix_power"]], "matrix_rank() (in module dpnp.linalg)": [[169, "dpnp.linalg.matrix_rank"]], "multi_dot() (in module dpnp.linalg)": [[170, "dpnp.linalg.multi_dot"]], "norm() (in module dpnp.linalg)": [[171, "dpnp.linalg.norm"]], "pinv() (in module dpnp.linalg)": [[172, "dpnp.linalg.pinv"]], "qr() (in module dpnp.linalg)": [[173, "dpnp.linalg.qr"]], "slogdet() (in module dpnp.linalg)": 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171, 432], "cupi": [2, 432], "miscellan": [2, 432, 443], "c": [2, 4, 32, 34, 35, 36, 38, 39, 52, 55, 61, 62, 81, 82, 84, 88, 89, 93, 97, 134, 135, 137, 163, 174, 178, 190, 265, 270, 277, 290, 310, 311, 316, 374, 376, 380, 388, 409, 410, 430, 431], "backend": [2, 137, 328, 330, 331, 341, 346, 362], "The": [3, 4, 13, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 43, 45, 46, 47, 48, 50, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 68, 74, 77, 79, 80, 82, 83, 84, 85, 88, 89, 90, 92, 94, 95, 97, 99, 105, 113, 120, 123, 124, 125, 126, 127, 131, 134, 135, 136, 139, 140, 142, 143, 144, 146, 147, 149, 158, 159, 160, 161, 163, 165, 166, 170, 171, 172, 173, 174, 176, 177, 179, 180, 181, 182, 184, 186, 188, 189, 190, 191, 192, 196, 197, 198, 199, 201, 202, 203, 204, 207, 209, 211, 212, 213, 270, 277, 278, 287, 291, 306, 308, 309, 310, 311, 315, 316, 318, 319, 321, 325, 328, 330, 331, 341, 346, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 374, 375, 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84, 117, 134, 135, 136, 142, 177, 188, 207, 209, 265, 325, 369, 396, 397, 425, 439], "drop": [3, 84], "replac": [3, 37, 55, 321, 330, 439], "core": [3, 84, 439], "numer": [3, 4, 62, 84, 306, 315, 443], "being": [3, 84], "develop": [3, 4], "part": [3, 58, 59, 82, 146, 200, 278, 291, 318, 375, 439], "intel": [3, 4], "ai": [3, 321, 406], "analyt": 3, "toolkit": 3, "distribut": [3, 4, 188, 325, 326, 327, 329, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 350, 351, 352, 353, 354, 356, 357, 359, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 443], "also": [3, 20, 62, 84, 94, 161, 201, 363, 439], "anaconda": 3, "cloud": 3, "page": [3, 443], "learn": [3, 4], "Being": 3, "mean": [3, 6, 43, 82, 171, 194, 208, 211, 213, 265, 277, 325, 338, 340, 343, 347, 366, 370, 371, 374, 380, 401, 403, 426, 439], "usag": [3, 4], "veri": [3, 195], "similar": [3, 34, 35, 82, 84, 136, 177, 188, 270, 325, 353], "class": [3, 82, 84, 85, 119, 147, 325, 353, 397, 398, 414, 443], "compat": [3, 28, 29, 43, 82, 189, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 377, 380, 401, 403, 426, 443], "altern": [3, 4, 81, 190, 193, 208, 211, 212, 213, 401, 403, 426], "abov": [3, 74, 77, 147, 173, 189, 212, 377, 403, 414, 415, 418], "instanc": [3, 20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 190, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "creat": [3, 4, 20, 32, 34, 35, 36, 37, 38, 61, 74, 75, 77, 82, 84, 88, 89, 97, 128, 132, 134, 135, 136, 144, 147, 177, 188, 196, 270, 309, 310, 311, 321, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439, 443], "ident": [3, 6, 84, 175, 364], "one": [3, 4, 30, 32, 37, 40, 41, 42, 43, 55, 60, 63, 64, 82, 84, 88, 90, 95, 97, 99, 101, 104, 105, 109, 110, 113, 115, 121, 122, 134, 142, 144, 147, 171, 179, 180, 181, 182, 195, 196, 205, 270, 277, 280, 309, 311, 318, 344, 385, 396, 399, 400, 409, 416, 419, 430, 439], "kei": [3, 30, 82, 84, 119, 225, 255, 396], "differ": [3, 20, 32, 34, 35, 36, 38, 43, 61, 71, 74, 77, 79, 82, 84, 85, 88, 89, 97, 118, 121, 122, 134, 135, 136, 138, 144, 166, 171, 177, 188, 189, 190, 196, 212, 270, 309, 310, 311, 316, 377, 402, 403, 414, 425, 430, 431, 443], "memori": [3, 32, 34, 35, 36, 38, 52, 55, 61, 62, 82, 84, 88, 89, 93, 97, 134, 135, 190, 195, 275, 277, 300, 310, 311, 376, 380, 388, 430, 431, 432], "default": [3, 11, 12, 13, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 43, 45, 46, 47, 48, 49, 50, 52, 53, 55, 57, 58, 59, 61, 62, 64, 65, 66, 68, 74, 77, 78, 79, 80, 82, 84, 85, 88, 89, 90, 92, 93, 95, 97, 99, 105, 117, 120, 123, 124, 125, 126, 127, 134, 135, 136, 139, 140, 142, 143, 144, 147, 149, 151, 152, 153, 158, 159, 160, 161, 169, 171, 172, 173, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 202, 203, 204, 207, 208, 209, 210, 211, 212, 213, 265, 270, 277, 306, 308, 309, 310, 311, 313, 315, 316, 317, 318, 320, 325, 329, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 363, 364, 366, 369, 374, 376, 377, 378, 379, 380, 382, 383, 384, 385, 386, 387, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 405, 407, 408, 409, 411, 412, 414, 415, 416, 418, 419, 421, 422, 425, 426, 428, 430, 431, 439], "system": [3, 4, 175], "integr": [3, 4, 43, 82, 189, 193, 200, 208, 211, 212, 213, 297, 316, 376, 377, 401, 403, 413, 426], "discret": [3, 60, 64, 71, 79, 85, 99, 100, 101, 104, 105, 106, 107, 109, 110, 111, 112, 113, 114, 115, 116, 138, 325, 432], "otherwis": [3, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 78, 79, 80, 82, 84, 85, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 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83, 84, 93, 118, 142, 178, 189, 190, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 344, 376, 377, 387, 388, 400, 401, 403, 410, 426, 428, 439], "most": [3, 4, 79, 84, 399], "manipul": [3, 75, 432, 443], "ar": [3, 4, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 40, 41, 42, 43, 45, 46, 47, 48, 49, 52, 53, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 79, 80, 81, 82, 84, 85, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 120, 121, 122, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 136, 138, 139, 140, 143, 148, 149, 150, 151, 152, 153, 158, 159, 160, 161, 165, 166, 169, 171, 172, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 286, 287, 306, 307, 308, 312, 313, 314, 315, 316, 317, 318, 320, 321, 322, 324, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 347, 348, 350, 351, 353, 356, 357, 359, 365, 367, 368, 369, 370, 371, 372, 373, 374, 376, 377, 378, 382, 383, 384, 386, 387, 388, 390, 392, 393, 394, 395, 396, 397, 398, 400, 401, 402, 403, 405, 407, 408, 409, 411, 413, 417, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 439], "done": [3, 82, 265], "see": [3, 31, 84, 128, 171, 342, 386, 416, 417, 419, 420, 439], "complet": [3, 4, 173, 385, 439], "list": [3, 6, 9, 32, 34, 35, 36, 38, 40, 41, 42, 49, 57, 61, 74, 77, 83, 84, 134, 135, 136, 142, 177, 188, 190, 381, 387, 390, 400, 409, 412, 425, 428], "support": [3, 9, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 37, 38, 45, 46, 47, 48, 49, 50, 52, 53, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 80, 82, 84, 85, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 138, 139, 140, 143, 144, 148, 149, 150, 151, 152, 153, 158, 159, 160, 162, 165, 175, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 190, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 324, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 343, 344, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 365, 366, 367, 368, 369, 370, 371, 372, 373, 376, 378, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 407, 408, 411, 413, 421, 422, 424, 426, 429, 430, 431, 447], "along": [3, 4, 14, 16, 17, 19, 28, 29, 30, 43, 56, 57, 67, 70, 71, 74, 77, 79, 82, 83, 85, 120, 121, 122, 125, 126, 136, 138, 142, 147, 148, 171, 173, 177, 188, 189, 191, 192, 193, 194, 195, 197, 198, 203, 204, 205, 206, 207, 208, 209, 211, 212, 213, 262, 263, 264, 271, 281, 283, 288, 289, 299, 301, 303, 305, 319, 320, 321, 377, 379, 384, 385, 387, 396, 400, 401, 403, 405, 406, 409, 410, 411, 413, 416, 419, 426, 428, 439], "limit": [3, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 34, 35, 36, 38, 45, 46, 47, 48, 49, 50, 52, 53, 55, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 80, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 123, 124, 125, 126, 127, 129, 130, 131, 132, 133, 134, 135, 138, 139, 140, 143, 144, 145, 148, 149, 150, 151, 152, 153, 158, 159, 160, 162, 165, 175, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 190, 191, 192, 193, 194, 197, 198, 199, 200, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 267, 306, 307, 308, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 324, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 347, 348, 350, 351, 353, 356, 359, 361, 362, 363, 364, 365, 367, 368, 369, 370, 371, 372, 373, 376, 378, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 397, 398, 401, 402, 403, 405, 407, 408, 411, 413, 421, 422, 424, 426, 429, 430, 431], "To": 4, "program": [4, 123], "beyond": [4, 384], "cpu": [4, 11, 12, 13, 14, 15, 19, 20, 21, 22, 23, 24, 25, 26, 27, 31, 32, 34, 35, 36, 38, 45, 46, 47, 48, 52, 53, 58, 59, 61, 62, 64, 65, 66, 68, 69, 70, 71, 74, 77, 78, 80, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 134, 135, 136, 138, 139, 140, 143, 144, 148, 149, 150, 151, 152, 153, 158, 159, 160, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 192, 194, 196, 198, 199, 200, 202, 205, 206, 210, 306, 307, 308, 309, 310, 311, 312, 314, 315, 316, 317, 320, 376, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 405, 407, 408, 413, 414, 421, 422, 425, 429, 430, 431], "you": [4, 406, 439], "need": [4, 137, 406], "appropri": [4, 28, 29, 137, 189, 191, 197, 203, 204, 207, 209, 325, 353, 356, 377, 439], "hardwar": 4, "work": [4, 31, 39, 72, 199, 323, 406, 439], "fine": 4, "laptop": 4, "graphic": 4, "In": [4, 28, 29, 161, 173, 188, 208, 320, 325, 369, 380, 405], "major": [4, 34, 35, 36, 38, 82, 265, 277, 374], "case": [4, 20, 28, 29, 32, 34, 35, 36, 38, 43, 61, 74, 77, 79, 88, 89, 97, 134, 135, 136, 144, 173, 176, 177, 188, 196, 210, 309, 310, 311, 317, 318, 380, 409, 414, 425, 430, 431], "your": 4, "window": 4, "alreadi": [4, 35, 40, 41, 42], "ha": [4, 18, 30, 43, 45, 46, 47, 48, 84, 94, 104, 109, 131, 142, 146, 149, 174, 176, 189, 193, 208, 211, 212, 213, 320, 375, 376, 377, 379, 385, 399, 400, 401, 403, 404, 410, 426, 439], "all": [4, 6, 9, 15, 19, 33, 43, 56, 67, 79, 82, 83, 84, 92, 93, 95, 97, 120, 121, 122, 136, 142, 144, 161, 169, 172, 177, 188, 203, 204, 207, 209, 212, 265, 268, 274, 287, 318, 327, 384, 387, 397, 399, 428, 439], "necessari": [4, 20, 32, 34, 35, 36, 38, 40, 63, 136, 177, 188, 190, 193, 208, 211, 212, 213, 380, 401, 403, 426], "But": [4, 84], "want": [4, 406], "up": [4, 84, 122], "date": 4, "alwai": [4, 30, 34, 82, 211, 213, 265, 380, 401, 426], "updat": 4, "latest": [4, 128], "follow": [4, 43, 84, 94, 118, 145, 172, 409, 439, 443], "instruct": 4, "step": [4, 20, 136, 177, 188], "8": [4, 13, 15, 40, 52, 55, 63, 74, 75, 79, 82, 84, 120, 136, 146, 150, 163, 174, 176, 177, 188, 205, 316, 317, 319, 325, 349, 368, 375, 384, 388, 394, 405, 409, 413, 415, 418, 425, 429], "9": [4, 13, 40, 55, 63, 74, 75, 80, 82, 88, 98, 124, 136, 172, 173, 176, 188, 202, 279, 319, 325, 327, 329, 349, 375, 384, 397, 402, 409, 415, 418, 421, 425, 429], "10": [4, 13, 22, 24, 28, 29, 43, 55, 61, 71, 75, 79, 82, 84, 95, 134, 136, 141, 146, 158, 179, 180, 181, 182, 188, 189, 194, 202, 293, 319, 321, 325, 327, 337, 349, 377, 381, 382, 384, 386, 400, 406, 415, 418, 429], "If": [4, 15, 20, 28, 29, 30, 32, 34, 35, 36, 37, 38, 43, 55, 57, 74, 79, 81, 82, 84, 94, 97, 118, 120, 136, 142, 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66, 67, 68, 69, 70, 71, 74, 77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 120, 121, 122, 123, 124, 125, 126, 127, 128, 134, 135, 136, 138, 139, 140, 142, 143, 144, 145, 146, 147, 148, 149, 151, 152, 153, 158, 159, 160, 161, 162, 163, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 265, 274, 277, 293, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 320, 321, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 342, 343, 344, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 425, 426, 427, 428, 429, 430, 431], "onli": [11, 12, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 40, 43, 52, 53, 55, 58, 59, 61, 64, 65, 66, 68, 78, 82, 84, 85, 88, 89, 92, 93, 95, 97, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 123, 129, 130, 131, 132, 133, 134, 135, 136, 147, 151, 152, 153, 158, 161, 173, 176, 177, 178, 179, 180, 181, 182, 185, 188, 190, 191, 193, 194, 197, 203, 204, 207, 208, 209, 210, 211, 213, 265, 297, 306, 310, 311, 313, 315, 317, 318, 320, 325, 347, 353, 369, 380, 382, 383, 386, 388, 389, 390, 392, 393, 394, 395, 396, 401, 403, 405, 406, 407, 408, 411, 422, 426, 429, 430, 431, 439], "either": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 38, 43, 45, 46, 47, 48, 52, 53, 58, 59, 62, 65, 66, 67, 80, 84, 90, 92, 93, 95, 96, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 139, 140, 143, 149, 150, 151, 152, 153, 158, 159, 160, 171, 173, 175, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 191, 192, 197, 198, 199, 202, 203, 204, 207, 209, 210, 212, 306, 307, 308, 312, 314, 315, 316, 317, 318, 320, 361, 377, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 403, 405, 406, 407, 408, 421, 422, 429], "tensor": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 37, 45, 46, 47, 48, 52, 53, 58, 59, 62, 65, 66, 67, 80, 82, 90, 92, 93, 95, 96, 123, 124, 125, 126, 127, 139, 140, 143, 148, 149, 151, 152, 153, 158, 159, 160, 165, 175, 179, 180, 181, 182, 183, 184, 185, 186, 187, 191, 192, 197, 198, 199, 202, 203, 204, 207, 209, 210, 306, 307, 308, 312, 314, 315, 316, 317, 318, 319, 320, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 405, 407, 408, 409, 421, 422, 429], "usm_ndarrai": [11, 12, 13, 14, 15, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 37, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 62, 63, 65, 66, 67, 79, 80, 81, 82, 83, 89, 90, 92, 93, 94, 95, 96, 120, 121, 122, 123, 124, 125, 126, 127, 135, 139, 140, 142, 143, 146, 149, 151, 152, 153, 158, 159, 160, 161, 163, 165, 167, 169, 172, 173, 174, 175, 176, 179, 180, 181, 182, 183, 184, 185, 186, 187, 189, 190, 191, 192, 193, 195, 197, 198, 199, 201, 202, 203, 204, 207, 208, 209, 210, 211, 212, 213, 265, 306, 307, 308, 311, 312, 314, 315, 316, 317, 318, 319, 320, 321, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 412, 415, 418, 421, 422, 426, 427, 428, 429, 431], "keyword": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 52, 53, 55, 62, 65, 66, 69, 70, 71, 80, 85, 92, 93, 95, 98, 123, 124, 125, 126, 127, 138, 143, 148, 149, 158, 180, 181, 182, 183, 190, 192, 198, 199, 200, 202, 205, 206, 306, 315, 316, 318, 376, 378, 382, 383, 388, 392, 393, 394, 395, 402, 407, 408, 413, 421, 422, 439], "argument": [11, 12, 13, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 51, 52, 53, 55, 57, 62, 65, 66, 69, 70, 71, 80, 81, 82, 84, 85, 91, 92, 93, 95, 98, 123, 124, 125, 126, 127, 138, 143, 146, 148, 149, 155, 156, 158, 170, 180, 181, 182, 183, 190, 192, 198, 199, 200, 202, 205, 206, 293, 306, 315, 316, 318, 375, 376, 378, 381, 382, 383, 388, 392, 393, 394, 395, 400, 402, 407, 408, 409, 413, 421, 422, 439], "unsupport": [11, 12, 13, 15, 21, 22, 23, 24, 25, 26, 27, 45, 46, 47, 48, 52, 53, 55, 62, 65, 66, 69, 70, 71, 80, 92, 93, 95, 98, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 123, 124, 125, 126, 127, 138, 143, 148, 149, 158, 170, 180, 181, 182, 183, 192, 198, 199, 200, 202, 205, 206, 306, 315, 316, 318, 376, 378, 382, 383, 388, 392, 393, 394, 395, 402, 407, 408, 413, 421, 422], "sequenti": [11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 26, 27, 31, 45, 46, 47, 48, 52, 53, 58, 59, 62, 64, 65, 66, 68, 69, 70, 71, 78, 80, 85, 86, 87, 90, 91, 92, 93, 95, 96, 98, 99, 100, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 123, 124, 125, 126, 127, 138, 139, 140, 143, 148, 149, 150, 151, 152, 153, 158, 159, 160, 179, 180, 181, 182, 183, 184, 185, 186, 187, 192, 194, 198, 199, 200, 202, 205, 206, 210, 306, 307, 308, 312, 314, 315, 316, 317, 320, 376, 378, 382, 383, 386, 388, 392, 393, 394, 395, 397, 398, 402, 405, 407, 408, 413, 421, 422, 429], "exclud": [11, 12, 177, 325, 369], "note": [11, 12, 13, 14, 18, 19, 28, 29, 30, 31, 39, 61, 72, 80, 82, 84, 94, 123, 147, 151, 171, 188, 199, 202, 211, 212, 213, 270, 293, 307, 320, 323, 328, 330, 331, 341, 346, 376, 380, 396, 401, 402, 404, 405, 409, 410, 421, 426, 427], "shorthand": [11, 12, 13, 45, 46, 47, 48, 80, 90, 124, 139, 140, 149, 158, 159, 160, 184, 186, 190, 202, 306, 308, 315, 316, 378, 382, 402, 421, 429], "1j": [11, 12, 18, 58, 59, 82, 146, 176, 278, 291, 375, 398], "5620499351813308": [11, 12], "x1": [13, 15, 18, 25, 26, 44, 45, 47, 48, 54, 62, 64, 69, 70, 71, 72, 73, 76, 78, 80, 82, 85, 90, 98, 117, 124, 125, 126, 127, 138, 139, 140, 143, 148, 150, 157, 158, 159, 160, 164, 171, 183, 184, 185, 186, 187, 190, 192, 194, 195, 198, 199, 200, 202, 205, 206, 265, 306, 308, 312, 313, 315, 316, 322, 323, 324, 362, 378, 382, 384, 389, 402, 411, 413, 417, 420, 421, 424], "x2": [13, 14, 15, 18, 19, 25, 26, 32, 45, 47, 48, 62, 64, 69, 80, 90, 124, 125, 126, 127, 139, 140, 143, 148, 150, 157, 158, 159, 160, 183, 184, 185, 186, 187, 190, 192, 195, 198, 199, 202, 306, 307, 308, 312, 315, 316, 378, 382, 384, 389, 397, 402, 421], "scalar": [13, 15, 26, 32, 34, 35, 36, 37, 38, 45, 47, 48, 51, 61, 62, 63, 74, 77, 79, 80, 81, 82, 84, 90, 124, 125, 126, 127, 134, 135, 136, 139, 140, 143, 154, 158, 159, 160, 175, 177, 183, 184, 186, 187, 188, 190, 192, 195, 198, 199, 202, 274, 279, 308, 312, 316, 321, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 344, 347, 348, 350, 351, 353, 356, 359, 361, 365, 367, 368, 369, 370, 371, 372, 373, 378, 382, 402, 409, 421, 425, 427, 429, 439], "both": [13, 15, 26, 43, 45, 47, 48, 55, 62, 80, 81, 90, 124, 125, 126, 127, 139, 140, 143, 158, 159, 160, 171, 183, 184, 186, 187, 190, 192, 198, 199, 202, 212, 308, 312, 316, 378, 382, 402, 409, 421, 427], "equival": [13, 14, 16, 17, 19, 28, 29, 30, 31, 43, 61, 80, 81, 82, 83, 94, 189, 202, 220, 260, 261, 293, 304, 315, 324, 325, 353, 377, 380, 386, 391, 396, 402, 403, 409, 412, 421, 439], "term": [13, 80, 202, 402, 421], "broadcast": [13, 43, 49, 50, 55, 63, 80, 125, 126, 143, 171, 172, 184, 186, 187, 189, 190, 192, 193, 198, 202, 208, 211, 212, 213, 316, 320, 321, 377, 379, 401, 402, 403, 406, 410, 421, 426], "b": [13, 15, 28, 29, 45, 48, 56, 57, 63, 70, 71, 81, 82, 83, 84, 85, 90, 127, 139, 140, 142, 148, 159, 160, 163, 172, 174, 175, 176, 184, 186, 190, 191, 197, 205, 206, 308, 312, 316, 326, 387, 400, 409, 410, 413, 427, 428], "oper": [13, 45, 46, 47, 48, 80, 84, 90, 94, 124, 139, 140, 149, 158, 159, 160, 161, 184, 185, 186, 187, 190, 202, 306, 308, 315, 316, 320, 378, 382, 402, 410, 421, 432, 443], "axi": [14, 16, 17, 18, 19, 28, 29, 30, 43, 56, 57, 67, 69, 70, 71, 79, 82, 83, 85, 94, 99, 104, 105, 109, 110, 113, 120, 121, 122, 125, 126, 136, 138, 142, 147, 171, 177, 188, 189, 190, 191, 192, 193, 194, 197, 198, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 264, 271, 281, 282, 283, 287, 288, 289, 292, 297, 298, 299, 301, 303, 305, 313, 317, 319, 320, 321, 374, 377, 379, 380, 384, 385, 387, 396, 399, 400, 401, 403, 404, 405, 406, 409, 410, 412, 413, 426, 428, 439], "keepdim": [14, 16, 17, 19, 28, 29, 43, 67, 82, 171, 189, 191, 193, 194, 197, 203, 204, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 281, 282, 283, 288, 299, 301, 305, 317, 319, 321, 377, 401, 403, 406, 426], "fals": [14, 15, 16, 17, 18, 19, 28, 29, 32, 33, 36, 38, 43, 45, 46, 48, 49, 50, 51, 61, 67, 68, 82, 84, 89, 90, 117, 135, 136, 139, 140, 147, 149, 150, 151, 152, 153, 159, 160, 161, 169, 171, 172, 176, 177, 184, 185, 186, 187, 188, 189, 191, 193, 194, 195, 197, 203, 204, 207, 208, 209, 210, 211, 212, 213, 260, 261, 262, 263, 265, 281, 282, 283, 288, 299, 301, 305, 308, 311, 317, 319, 377, 380, 393, 401, 403, 425, 426, 431], "whether": [14, 15, 19, 84, 161, 173, 177, 380], "given": [14, 19, 20, 28, 29, 31, 32, 34, 35, 36, 38, 43, 56, 61, 67, 68, 70, 71, 79, 81, 82, 83, 84, 85, 88, 89, 117, 120, 125, 126, 134, 135, 136, 138, 143, 167, 177, 188, 191, 192, 195, 197, 198, 205, 206, 207, 209, 210, 211, 212, 213, 262, 263, 265, 271, 283, 288, 289, 294, 299, 301, 305, 310, 311, 317, 319, 320, 325, 330, 352, 369, 377, 379, 383, 384, 385, 386, 387, 401, 403, 409, 410, 413, 414, 426, 428, 430, 431, 439], "evalu": [14, 15, 19, 82, 86, 87, 90, 148, 195, 260, 261, 312, 409], "logic": [14, 19, 184, 186, 187, 432, 443], "AND": [14, 45, 46, 47, 48, 149, 184, 185, 186, 187], "reduct": [14, 19], "method": [14, 16, 17, 19, 30, 61, 81, 82, 84, 119, 128, 130, 169, 172, 176, 265, 270, 293, 325, 380, 391, 403, 412, 432], "Not": [14, 19, 151, 205, 207, 209, 210, 212, 317], "number": [14, 18, 19, 20, 31, 43, 44, 49, 50, 58, 59, 67, 77, 79, 82, 84, 94, 97, 118, 123, 124, 136, 144, 145, 151, 162, 169, 171, 173, 174, 176, 177, 178, 188, 205, 207, 209, 210, 211, 212, 213, 285, 294, 295, 296, 307, 317, 318, 325, 327, 337, 361, 378, 379, 383, 384, 385, 386, 392, 393, 401, 404, 410, 412, 414, 422, 425, 426, 443], "becaus": [14, 19], "x3": [14, 19], "rtol": [15, 150], "1e": [15, 95, 150, 172, 180, 181, 183, 343], "05": [15, 150], "atol": [15, 150], "08": [15, 65, 150, 343, 394], "two": [15, 33, 40, 41, 45, 46, 47, 48, 60, 64, 69, 77, 79, 81, 82, 84, 86, 87, 148, 149, 150, 157, 165, 170, 175, 184, 186, 187, 190, 191, 192, 197, 198, 201, 207, 209, 287, 302, 312, 325, 354, 404, 409, 416, 419, 427], "within": [15, 20, 33, 82, 150, 265, 320, 325, 369], "toler": [15, 33, 150], "A": [15, 20, 32, 34, 35, 36, 37, 38, 49, 50, 52, 55, 56, 61, 62, 63, 74, 77, 82, 84, 88, 89, 93, 94, 97, 120, 121, 122, 128, 130, 133, 134, 135, 136, 144, 147, 161, 166, 169, 173, 174, 177, 188, 190, 196, 210, 212, 265, 270, 277, 295, 309, 310, 311, 317, 325, 327, 344, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 374, 376, 379, 388, 393, 404, 409, 410, 412, 414, 425, 430, 431], "boolean": [15, 45, 47, 48, 63, 84, 147, 150, 151, 152, 153, 184, 185, 186, 187, 189, 193, 208, 210, 211, 212, 213, 377, 380, 393, 401, 403, 405, 426], "dim": 15, "typeerror": [15, 43, 63, 67, 99, 105, 113], "rais": [15, 20, 30, 32, 34, 35, 36, 38, 49, 50, 54, 55, 61, 63, 67, 81, 82, 88, 89, 93, 97, 99, 105, 113, 134, 135, 144, 168, 189, 190, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 266, 295, 310, 311, 316, 377, 380, 396, 398, 399, 401, 403, 426, 430, 431], "integ": [15, 20, 31, 43, 45, 46, 47, 48, 50, 82, 84, 123, 124, 145, 149, 150, 158, 168, 171, 189, 191, 193, 197, 207, 208, 209, 211, 212, 213, 297, 316, 320, 325, 353, 356, 361, 377, 378, 380, 382, 383, 386, 398, 401, 403, 405, 409, 422, 426, 439], "1e10": [15, 150], "00001e10": [15, 150], "initi": [16, 17, 82, 88, 133, 191, 197, 207, 209, 210, 212, 281, 283, 288, 301, 317, 325, 403], "alia": [16, 17, 80, 118, 214, 325, 355, 358, 360, 387, 421, 428], "z": [18, 20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 131, 134, 135, 136, 144, 177, 188, 195, 196, 309, 310, 311, 335, 414, 425, 430, 431], "deg": [18, 324], "point": [18, 20, 25, 34, 35, 43, 62, 84, 88, 89, 93, 97, 118, 134, 135, 144, 177, 189, 193, 208, 211, 212, 213, 310, 311, 325, 354, 366, 376, 377, 388, 401, 403, 414, 426, 430, 431, 443], "option": [18, 20, 28, 29, 30, 32, 34, 35, 36, 37, 38, 43, 51, 52, 55, 57, 61, 62, 63, 74, 77, 79, 81, 82, 84, 88, 89, 93, 97, 120, 134, 135, 136, 142, 144, 147, 161, 169, 170, 171, 172, 173, 176, 177, 188, 189, 190, 191, 193, 195, 196, 197, 203, 204, 207, 208, 209, 211, 212, 213, 265, 277, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 374, 376, 377, 379, 380, 384, 385, 387, 388, 396, 399, 400, 401, 403, 405, 412, 414, 415, 416, 417, 418, 419, 420, 425, 426, 428, 430, 431], "counterclockwis": 18, "plane": 18, "determin": [18, 156, 163, 173, 174, 184, 186, 187, 190], "promot": [18, 20, 32, 34, 35, 36, 38, 51, 136, 177, 188, 190, 381, 410], "rule": [18, 20, 32, 34, 35, 36, 38, 43, 51, 63, 136, 177, 188, 189, 190, 193, 208, 211, 212, 213, 377, 381, 401, 403, 413, 426], "although": [18, 84, 410], "undefin": [18, 82, 287], "arc": [18, 25, 26], "tangent": [18, 21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "quadrant": [18, 25, 26], "correctli": [18, 25, 26, 171, 307], "trigonometr": [18, 21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408, 443], "invers": [18, 21, 22, 23, 24, 25, 26, 27, 46, 65, 66, 93, 94, 95, 105, 106, 107, 108, 109, 110, 111, 112, 149, 167, 172, 179, 181, 371, 394, 395, 407, 408], "0j": [18, 81, 82, 190, 278, 291, 392], "57079633": [18, 26, 324, 424], "78539816": [18, 25, 26, 424], "mai": [18, 51, 55, 57, 63, 82, 84, 94, 142, 165, 173, 188, 190, 208, 211, 213, 265, 321, 387, 400, 410, 428, 439], "vari": [18, 147, 165, 208, 211, 213], "90": [18, 73, 429], "45": [18, 26], "OR": [19, 45, 46, 47, 48, 149, 184, 185, 186, 187], "stop": [20, 136, 177, 188], "like": [20, 32, 34, 35, 36, 38, 40, 41, 42, 56, 82, 83, 88, 97, 134, 136, 144, 177, 178, 188, 265, 310, 325, 369, 380, 430, 443], "usm_typ": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 414, 425, 430, 431], "sycl_queu": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "evenli": [20, 136, 177, 188, 383, 386], "interv": [20, 94, 136, 177, 188, 325, 353, 355, 357, 358, 360, 368, 369, 404], "end": [20, 84, 136, 177, 188], "doe": [20, 51, 173], "some": [20, 84, 94, 96, 123, 439], "off": 20, "affect": 20, "length": [20, 43, 79, 82, 90, 136, 142, 176, 188, 195, 295, 328, 380, 381, 387, 391, 399, 409, 410, 428], "between": [20, 51, 79, 85, 118, 166, 177, 188, 342, 356, 424], "specifi": [20, 30, 32, 34, 35, 36, 38, 43, 50, 51, 57, 61, 74, 77, 78, 82, 88, 89, 97, 120, 134, 135, 136, 144, 148, 171, 177, 188, 189, 193, 194, 196, 208, 210, 211, 212, 213, 264, 272, 309, 310, 311, 317, 325, 338, 348, 366, 374, 377, 384, 385, 400, 401, 403, 409, 412, 414, 425, 426, 430, 431], "must": [20, 28, 29, 43, 50, 52, 55, 56, 57, 62, 79, 81, 83, 93, 94, 96, 121, 142, 161, 170, 171, 178, 189, 190, 191, 193, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 320, 321, 376, 377, 384, 387, 388, 400, 401, 403, 404, 406, 409, 412, 426, 428], "desir": [20, 32, 34, 35, 36, 38, 50, 88, 89, 97, 134, 135, 136, 144, 177, 188, 310, 311, 385, 410, 414, 430, 431], "repres": [20, 32, 34, 35, 36, 37, 38, 43, 82, 84, 128, 136, 147, 174, 177, 188, 195, 213, 295, 325, 439], "consid": [20, 32, 34, 35, 36, 38, 87, 136, 151, 169, 177, 188, 190, 325, 353], "capabl": [20, 32, 34, 35, 36, 38, 43, 136, 177, 188, 190], "when": [20, 32, 34, 35, 36, 38, 43, 61, 63, 82, 84, 136, 171, 173, 177, 188, 190, 207, 209, 265, 385, 405, 409, 429], "string": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 84, 88, 89, 97, 133, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "sycldevic": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "syclqueu": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "concept": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "output": [20, 30, 32, 34, 35, 36, 37, 38, 52, 55, 61, 62, 74, 77, 79, 81, 84, 88, 89, 90, 93, 97, 134, 135, 136, 139, 140, 144, 146, 147, 159, 160, 168, 170, 177, 188, 190, 193, 195, 196, 204, 208, 211, 212, 213, 256, 308, 309, 310, 311, 325, 326, 327, 329, 332, 333, 334, 335, 336, 337, 338, 339, 340, 344, 347, 348, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 375, 376, 379, 388, 396, 399, 401, 403, 410, 414, 425, 426, 430, 431, 443], "oneapi": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "filter": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "selector": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431], "non": [20, 28, 29, 32, 34, 35, 36, 37, 38, 43, 44, 61, 67, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 151, 165, 177, 188, 191, 196, 197, 203, 204, 207, 209, 211, 213, 286, 307, 309, 310, 311, 316, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 397, 409, 414, 425, 430, 431], "object": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 84, 88, 89, 94, 97, 118, 119, 128, 132, 134, 135, 136, 144, 145, 147, 165, 171, 177, 178, 188, 196, 293, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 380, 414, 425, 430, 431, 439], "dpnp_arrai": [20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 118, 128, 134, 135, 136, 144, 145, 147, 177, 188, 190, 196, 213, 214, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 401, 414, 415, 418, 425, 426, 430, 431, 432], "properti": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 82, 88, 89, 97, 134, 135, 136, 144, 147, 173, 177, 188, 196, 215, 273, 275, 276, 278, 280, 284, 285, 291, 295, 296, 300, 304, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 361, 366, 369, 414, 425, 430, 431, 439], "share": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 414, 425, 430, 431], "usm": [20, 32, 34, 35, 36, 37, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 147, 177, 188, 196, 309, 310, 311, 325, 347, 352, 353, 354, 355, 356, 357, 358, 360, 366, 369, 399, 414, 425, 430, 431], "d": [20, 43, 56, 57, 74, 75, 77, 81, 83, 84, 97, 100, 101, 102, 106, 107, 111, 112, 114, 115, 116, 121, 122, 133, 142, 144, 163, 165, 170, 171, 174, 190, 195, 307, 316, 320, 330, 374, 380, 387, 391, 400, 405, 409, 410, 425, 428, 429, 439], "notimplementederror": [20, 30, 32, 34, 35, 36, 38, 49, 50, 55, 61, 82, 88, 89, 97, 134, 135, 144, 190, 191, 193, 197, 207, 208, 209, 211, 212, 213, 265, 310, 311, 396, 401, 403, 426, 430, 431], "care": 20, "handl": [20, 84, 307, 405, 443], "endpoint": [20, 136, 177, 188], "level_zero": [20, 32, 34, 35, 36, 38, 61, 74, 77, 88, 89, 97, 134, 135, 136, 144, 177, 188, 196, 309, 310, 311, 414, 425, 430, 431], "cosin": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "sine": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408], "hyperbol": [21, 22, 23, 24, 25, 26, 27, 65, 66, 394, 395, 407, 408, 443], "14159265": [21, 26], "65745445": 22, "99322285": 22, "5707963267948966": 23, "72538256": 24, "99822295": 24, "180": 26, "135": 26, "54930614": 27, "search": [28, 29, 203, 204, 432, 443], "index": [28, 29, 30, 54, 82, 84, 97, 147, 195, 203, 204, 266, 300, 320, 321, 374, 380, 405, 406, 432, 443], "should": [28, 29, 81, 82, 137, 150, 189, 190, 191, 197, 201, 203, 204, 207, 209, 265, 342, 377, 380, 389, 409, 439], "reduc": [28, 29, 43, 173, 176, 189, 191, 193, 195, 197, 203, 204, 207, 208, 209, 211, 212, 213, 377, 401, 403, 426], "ax": [28, 29, 43, 79, 81, 82, 94, 100, 102, 103, 106, 107, 108, 111, 112, 114, 116, 120, 148, 171, 175, 189, 190, 191, 193, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 295, 302, 304, 377, 384, 385, 399, 401, 403, 404, 409, 410, 412, 426], "dimens": [28, 29, 32, 40, 41, 42, 43, 56, 57, 63, 68, 75, 79, 82, 84, 94, 121, 122, 142, 147, 169, 171, 173, 189, 191, 193, 195, 196, 197, 201, 203, 204, 207, 208, 209, 211, 212, 213, 277, 285, 295, 309, 321, 325, 355, 357, 358, 360, 377, 380, 391, 399, 400, 401, 403, 404, 406, 410, 416, 417, 419, 420, 426, 439, 443], "singleton": [28, 29, 43, 94, 189, 191, 193, 197, 203, 204, 207, 208, 209, 211, 212, 213, 377, 399, 401, 403, 426], "accordingli": [28, 29, 191, 197, 203, 204, 207, 209], "first": [28, 29, 30, 43, 56, 57, 62, 81, 84, 93, 120, 155, 156, 170, 190, 191, 195, 197, 203, 204, 316, 374, 380, 384, 387, 396, 398, 404, 406, 409, 427, 428], "occurr": [28, 29, 44, 203, 204], "igonr": [28, 29, 203, 204], "convert": [28, 29, 32, 34, 35, 36, 37, 38, 40, 41, 42, 61, 72, 73, 74, 77, 84, 134, 135, 136, 177, 188, 323, 324, 424, 425], "flat": [28, 29, 82, 119, 277, 379], "tupl": [28, 29, 32, 34, 35, 36, 38, 43, 50, 61, 74, 75, 77, 82, 84, 94, 120, 134, 135, 136, 147, 171, 173, 177, 188, 189, 190, 191, 193, 195, 196, 197, 207, 208, 209, 211, 212, 213, 295, 307, 309, 377, 380, 384, 391, 399, 401, 403, 410, 412, 416, 419, 425, 426, 439], "appli": [28, 29, 30, 43, 51, 184, 186, 187, 381, 409], "index_arrai": [28, 29, 30], "call": [28, 29, 30, 36, 38, 84, 170, 220, 399, 410, 429], "multipl": [28, 29, 30, 43, 57, 84, 142, 165, 166, 167, 189, 191, 193, 197, 207, 208, 209, 211, 212, 213, 377, 387, 396, 400, 401, 403, 426, 428, 432], "11": [28, 29, 43, 66, 75, 82, 138, 293, 344, 353, 386, 395, 415, 418], "12": [28, 29, 42, 75, 84, 146, 188, 317, 319, 349, 415, 418], "13": [28, 29, 46, 75, 81, 84, 149, 190, 206], "14": [28, 29, 45, 46, 75, 81, 149, 409], "24": [28, 29, 70, 85, 317, 409], "re": [28, 29, 44, 141, 384, 423], "kind": [30, 51, 57, 63, 82, 84, 118, 142, 189, 190, 212, 264, 265, 287, 297, 313, 377, 387, 396, 400, 403, 428, 443], "would": [30, 57, 82, 84, 147, 190, 287, 325, 396, 400, 406, 412], "last": [30, 79, 120, 136, 170, 177, 188, 190, 374, 380, 384, 396, 399, 409], "stabl": [30, 396], "unlik": [30, 82, 293, 396], "other": [30, 49, 50, 79, 82, 84, 123, 144, 170, 201, 217, 218, 221, 223, 224, 226, 227, 228, 229, 230, 231, 232, 235, 236, 237, 238, 239, 240, 241, 243, 244, 245, 246, 247, 250, 252, 254, 257, 258, 259, 265, 318, 325, 369, 385, 396, 432, 443], "accept": [30, 325, 396], "yield": [30, 325, 439], "gener": [30, 43, 84, 136, 166, 172, 173, 188, 325, 327, 330, 361, 425, 439, 443], "irrespect": 30, "axiserror": [30, 396], "indirect": [30, 396], "partial": [30, 396], "ind": [30, 416, 419], "decim": [31, 82, 118, 294, 383, 386], "detail": [31, 128, 386, 416, 417, 419, 420, 439], "nearest": [31, 123, 124, 378, 383, 386, 422], "truncat": [31, 53, 123, 363, 383, 386, 422], "ndmin": 32, "array_lik": [32, 34, 35, 36, 37, 38, 43, 61, 63, 74, 77, 134, 135, 136, 166, 168, 170, 171, 177, 188, 321, 325, 391, 409, 417, 420, 425], "form": [32, 34, 35, 36, 37, 38, 56, 61, 74, 77, 83, 134, 135, 136, 177, 188, 387, 425, 428], "layout": [32, 34, 35, 36, 38, 52, 55, 61, 62, 82, 88, 89, 93, 97, 134, 135, 190, 275, 310, 311, 376, 380, 388, 430, 431, 432], "newli": [32, 34, 35, 52, 55, 61, 62, 82, 88, 89, 93, 97, 134, 135, 190, 265, 310, 311, 376, 388, 430, 431], "satisfi": [32, 36, 38, 82, 96, 167, 265], "new": [32, 49, 50, 56, 57, 82, 83, 84, 88, 89, 94, 128, 132, 133, 134, 135, 136, 142, 144, 177, 188, 201, 210, 265, 293, 304, 310, 311, 317, 380, 384, 385, 387, 400, 410, 412, 428, 430, 431, 439], "uniniti": [32, 88, 89, 134, 310, 430], "than": [32, 82, 118, 121, 122, 142, 169, 172, 173, 287, 392, 393, 399, 400, 409], "a1": 33, "a2": 33, "equal_nan": [33, 150], "consist": [33, 177, 406, 409], "contigu": [34, 35, 36, 38, 81, 82, 277, 290, 374, 380], "check": [34, 35, 51, 161, 172, 175], "construct": [34, 35, 54, 74, 77, 82, 84, 130, 131, 196, 266, 309, 379, 410, 432], "grid": [34, 35, 147, 195, 196, 309], "No": [35, 161], "perform": [35, 55, 79, 120, 161], "match": [35, 57, 63, 79, 84, 190, 320, 321, 400, 405, 406, 409], "pass": [35, 82, 84, 293], "through": [35, 84, 439], "subclass": [35, 156], "content": [36, 82, 362], "flag": [36, 38, 82, 84, 270], "about": [36, 38, 82, 118, 275, 439], "f_contigu": [36, 38], "make": [36, 38, 56, 84, 195], "now": [36, 38, 75], "c_contigu": [36, 38, 82, 270], "Then": [36, 38], "x0": [36, 38, 61, 74, 77, 311, 425, 431], "__sycl_usm_array_interface__": 37, "protocol": [37, 84, 128], "buffer": [37, 82, 129, 380], "possibli": 37, "nest": [37, 83, 142, 387, 400, 428], "sequenc": [37, 40, 41, 42, 56, 57, 60, 64, 83, 88, 89, 134, 135, 136, 142, 147, 168, 170, 177, 188, 201, 310, 311, 349, 362, 381, 387, 400, 409, 428, 430, 431], "str": [37, 57, 84, 142, 387, 400, 428], "code": [37, 84], "coerc": 37, "laid": 38, "fortran": [38, 82, 265, 277, 374, 380], "row": [38, 56, 57, 82, 83, 97, 121, 122, 142, 144, 147, 170, 176, 178, 265, 277, 374, 387, 400, 414, 416, 428], "exactli": [39, 72, 323, 325, 353], "ari": [40, 41, 42], "least": [40, 41, 42, 43, 83, 84, 121, 150, 173, 387, 428], "One": [40, 41, 42, 83, 84, 380], "preserv": [40, 41, 42, 55, 82, 84, 120, 121, 122, 265], "made": [40, 84], "three": [40, 41, 42, 325, 361, 409], "avoid": [41, 42], "possibl": [41, 42, 82, 94, 265, 293, 380, 399, 404, 412], "weight": [43, 44, 68, 141, 193, 208, 403], "over": [43, 81, 119, 120, 131, 136, 171, 177, 188, 189, 190, 191, 193, 195, 197, 205, 207, 208, 209, 210, 211, 212, 213, 317, 325, 352, 357, 368, 369, 377, 401, 403, 409, 426, 443], "entir": [43, 189, 191, 193, 197, 207, 208, 209, 211, 212, 213, 377, 401, 403, 426], "associ": [43, 439], "contribut": 43, "accord": [43, 51, 84, 118, 165, 166, 189, 193, 208, 211, 212, 213, 377, 401, 403, 426], "assum": [43, 169, 172, 176], "avg": 43, "constraint": 43, "sum_of_weight": 43, "taken": [43, 79, 190, 211, 213, 401, 414, 416, 419, 426, 427], "so": [43, 84, 90, 177, 179, 189, 193, 195, 208, 211, 212, 213, 363, 377, 397, 401, 403, 409, 410, 426], "remain": [43, 189, 193, 201, 208, 211, 212, 213, 377, 380, 401, 403, 426], "second": [43, 62, 81, 84, 93, 142, 156, 190, 191, 195, 197, 316, 398, 404, 409, 427], "pattern": 43, "lowest": [43, 86, 87, 325, 353], "precis": [43, 84, 118], "happen": [43, 82, 265, 327], "previou": 43, "still": 43, "arithmet": [43, 136, 193, 194, 208, 211, 213, 315, 401, 403, 426, 432, 443], "75": [43, 91, 138, 167, 177], "With": [43, 171], "w": [43, 165, 166], "minlength": 44, "count": [44, 67, 84, 120, 132, 168, 307, 327, 432, 443], "find": [44, 169, 172, 176, 389, 396, 423, 443], "bit": [45, 46, 47, 48, 84, 118, 145, 149, 158, 184, 186, 187, 382, 443], "truth": [45, 46, 47, 48, 90, 139, 140, 149, 159, 160, 184, 185, 186, 187, 308, 443], "xor": [45, 46, 47, 48, 149, 184, 185, 186, 187], "255": [45, 47], "NOT": [46, 149, 184, 185, 186, 187], "31": [48, 136], "26": 48, "arg": [49, 86, 325], "against": [49, 50, 55, 137, 171, 172, 321, 406], "origin": [49, 82, 171, 195, 201, 380, 384], "from_": 51, "cast": [51, 57, 63, 82, 142, 189, 190, 193, 208, 211, 212, 213, 265, 377, 387, 400, 401, 403, 426, 428], "safe": [51, 57, 63, 82, 142, 190, 265, 387, 400, 428], "occur": [51, 57, 63, 82, 142, 190, 265, 277, 387, 400, 428], "target": [51, 82, 265], "equiv": [51, 57, 63, 82, 142, 190, 265, 387, 400, 428], "same_kind": [51, 57, 63, 82, 142, 190, 265, 387, 400, 428], "unsaf": [51, 57, 63, 82, 142, 190, 265, 387, 400, 428], "what": [51, 57, 63, 82, 84, 90, 142, 190, 265, 327, 344, 387, 400, 428], "basic": [51, 439, 443], "i8": [51, 84], "f8": [51, 84], "f4": 51, "1000": [51, 136, 188, 326, 327, 332, 334, 336, 337, 338, 339, 340, 347, 348, 351, 353, 355, 358, 360, 366, 370, 371, 372, 373], "i4": [51, 84], "u4": 51, "cube": [52, 397], "popul": [52, 62, 82, 93, 325, 352, 376, 388], "correct": [52, 57, 62, 93, 175, 376, 388, 400], "27": [52, 188, 316, 388, 425], "mode": [54, 60, 64, 82, 173, 266, 289, 303, 320, 363, 368, 405], "prefer": [54, 61, 82, 270], "a_min": 55, "a_max": 55, "edg": 55, "right": [55, 121, 122, 143, 158, 164, 165, 368, 377, 382, 389, 425], "hold": [55, 171, 210, 317], "Its": [55, 321], "those": [55, 321], "tup": [56, 83, 142, 387, 428], "them": [56, 439], "just": [56, 84], "turn": 56, "join": [56, 57, 83, 142, 387, 400, 428, 443], "depth": [56, 57, 83, 142, 387, 400, 428], "third": [56, 57, 83, 142, 387, 400, 428], "horizont": [56, 57, 83, 120, 142, 387, 400, 428], "vertic": [56, 57, 83, 120, 121, 142, 387, 400, 428], "exist": [56, 57, 83, 84, 94, 142, 380, 387, 400, 428], "destin": [57, 142, 201, 320, 321, 387, 400, 406, 428], "were": [57, 325, 354, 400], "cannot": [57, 82, 203, 204, 295, 399, 400], "togeth": [57, 84, 400], "sub": [57, 84, 142, 387, 400, 414, 428], "3rd": 57, "assembl": [57, 83, 142, 387, 400, 428], "t": [57, 68, 82, 84, 161, 166, 304, 367], "obtain": [58, 59, 161, 307], "chang": [58, 59, 61, 62, 82, 84, 265, 300, 304, 306, 314, 315, 320, 321, 322, 374, 380, 385, 424, 443], "imaginari": [58, 59, 82, 146, 278, 318, 375], "2j": [58, 59, 81, 146, 165, 190, 375, 392, 427], "j": [58, 59, 146, 147, 161, 165, 182, 190, 318, 321, 375, 398, 406, 409], "v": [60, 74, 77, 84, 165], "linear": [60, 64, 175, 188, 432, 443], "convolut": [60, 64], "ca": 60, "we": [61, 75, 321, 406], "modifi": [61, 362], "dst": 63, "src": 63, "violat": 63, "wherev": 63, "valid": [64, 94, 404, 416, 417, 419, 420], "000000e": [65, 394], "00": [65, 394], "371139e": 65, "5091786": 66, "591953": 66, "coordin": [67, 131, 195], "19": [67, 84], "m": [68, 83, 84, 97, 120, 121, 122, 161, 163, 165, 166, 167, 169, 172, 173, 174, 175, 176, 190, 321, 406, 414, 415, 416, 418, 419], "rowvar": 68, "bia": 68, "ddof": [68, 82, 211, 213, 299, 305, 401, 426], "fweight": 68, "aweight": 68, "estim": [68, 327, 344], "covari": 68, "matrix": [68, 81, 161, 162, 165, 166, 167, 168, 169, 171, 172, 173, 174, 175, 176, 190, 195, 398, 418, 425, 427, 432, 443], "variabl": 68, "axisa": 69, "axisb": 69, "axisc": 69, "vector": [69, 162, 169, 170, 171, 176, 190, 195, 427, 443], "cumul": [70, 71, 79, 82, 205, 206, 271, 403], "120": [70, 73], "720": 70, "th": [71, 74, 77, 79, 85, 97, 138, 194, 412, 415, 418], "21": [71, 84], "remov": [72, 82, 94, 298, 323, 399, 443], "larg": [72, 84, 172, 323], "jump": [72, 323], "wrap": [72, 82, 117, 289, 303, 320, 323, 405], "rad": 73, "30": [73, 321, 324, 406, 427], "60": [73, 321, 406, 409, 429], "150": 73, "question": 74, "main": [74, 75, 76, 77, 97, 117, 144, 166, 414, 415, 418], "upper": [74, 97, 161, 173, 414, 418, 419], "triangl": [74, 143, 377, 414, 415, 416, 417, 418, 419, 420], "lower": [74, 97, 155, 161, 414, 415, 416, 417, 420], "access": [75, 76, 117, 439], "usual": [75, 84, 190], "di": 75, "100": [75, 136, 188, 337, 363], "d3": 75, 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"Basic operations": [[436, "basic-operations"]], "Changing array shape": [[436, "changing-array-shape"]], "Transpose-like operations": [[436, "transpose-like-operations"]], "Changing number of dimensions": [[436, "changing-number-of-dimensions"]], "Changing kind of array": [[436, "changing-kind-of-array"]], "Joining arrays": [[436, "joining-arrays"]], "Splitting arrays": [[436, "splitting-arrays"]], "Tiling arrays": [[436, "tiling-arrays"]], "Adding and removing elements": [[436, "adding-and-removing-elements"]], "Rearranging elements": [[436, "rearranging-elements"]], "Mathematical Functions": [[437, "mathematical-functions"]], "Trigonometric functions": [[437, "trigonometric-functions"], [447, "trigonometric-functions"]], "Hyperbolic functions": [[437, "hyperbolic-functions"]], "Rounding": [[437, "rounding"]], "Sums, products, differences": [[437, "sums-products-differences"]], "Exponents and logarithms": [[437, "exponents-and-logarithms"]], "Other special functions": [[437, "other-special-functions"]], "Floating point routines": [[437, "floating-point-routines"]], "Rational routines": [[437, "rational-routines"]], "Arithmetic operations": [[437, "arithmetic-operations"]], "Handling complex numbers": [[437, "handling-complex-numbers"]], "Extrema Finding": [[437, "extrema-finding"]], "Miscellaneous routines": [[438, "miscellaneous-routines"]], "Utility": [[438, "utility"]], "Multi-Dimensional Array (ndarray)": [[439, "multi-dimensional-array-ndarray"]], "Constructing arrays": [[439, "constructing-arrays"]], "Indexing arrays": [[439, "indexing-arrays"]], "Array attributes": [[439, "array-attributes"]], "Memory layout": [[439, "memory-layout"]], "Data type": [[439, "data-type"]], "Other attributes": [[439, "other-attributes"]], "Array methods": [[439, "array-methods"]], "Array conversion": [[439, "array-conversion"]], "Shape manipulation": [[439, "shape-manipulation"]], "Item selection and manipulation": [[439, "item-selection-and-manipulation"]], "Calculation": [[439, "calculation"]], "Arithmetic, matrix multiplication, and comparison operations": [[439, "arithmetic-matrix-multiplication-and-comparison-operations"]], "Special methods": [[439, "special-methods"]], "Padding": [[440, "padding"]], "Polynomials": [[441, "polynomials"]], "Polynomial Package": [[441, "polynomial-package"]], "Polynomial Module": [[441, "polynomial-module"]], "Polyutils": [[441, "polyutils"]], "Poly1d": [[441, "poly1d"]], "Basics": [[441, "basics"]], "Arithmetic": [[441, "arithmetic"]], "Random Sampling (dpnp.random)": [[442, "random-sampling-dpnp-random"]], "Simple random data": [[442, "simple-random-data"]], "Permutations": [[442, "permutations"]], "Distributions": [[442, "distributions"]], "Random generator": [[442, "random-generator"]], "Routines": [[443, "routines"]], "Sorting, Searching, and Counting": [[444, "sorting-searching-and-counting"]], "Sorting": [[444, "sorting"]], "Searching": [[444, "searching"]], "Counting": [[444, "counting"]], "Special Functions": [[445, "special-functions"]], "Error Function": [[445, "error-function"]], "Statistical Functions": [[446, "statistical-functions"]], "Order statistics": [[446, "order-statistics"]], "Averages and variances": [[446, "averages-and-variances"]], "Histograms": [[446, "histograms"]], "Correlations": [[446, "correlations"]], "Universal Functions (ufunc)": [[447, "universal-functions-ufunc"]], "Available ufuncs": [[447, "available-ufuncs"]], "Math operations": [[447, "math-operations"]], "Bit-twiddling functions": [[447, "bit-twiddling-functions"]], "Comparison functions": [[447, "comparison-functions"]], "Floating functions": [[447, "floating-functions"]]}, "indexentries": {"dpnp": [[2, "module-dpnp"], [3, "module-dpnp"]], "module": [[2, "module-dpnp"], [3, "module-dpnp"], [10, "module-dpnp.fft"], [442, "module-dpnp.random"]], "dpnp.fft": [[10, "module-dpnp.fft"]], "abs() (in module dpnp)": [[11, "dpnp.abs"]], "absolute() (in module dpnp)": [[12, "dpnp.absolute"]], "add() (in module dpnp)": [[13, "dpnp.add"]], "all() (in module dpnp)": [[14, "dpnp.all"]], "allclose() (in module dpnp)": [[15, "dpnp.allclose"]], "amax() (in module dpnp)": [[16, "dpnp.amax"]], "amin() (in module dpnp)": [[17, "dpnp.amin"]], "angle() (in module dpnp)": [[18, "dpnp.angle"]], "any() (in module dpnp)": [[19, "dpnp.any"]], "arange() (in module dpnp)": [[20, "dpnp.arange"]], "arccos() (in module dpnp)": [[21, "dpnp.arccos"]], "arccosh() (in module dpnp)": [[22, "dpnp.arccosh"]], "arcsin() (in module dpnp)": [[23, "dpnp.arcsin"]], "arcsinh() (in module dpnp)": [[24, "dpnp.arcsinh"]], "arctan() (in module dpnp)": [[25, "dpnp.arctan"]], "arctan2() (in module dpnp)": [[26, "dpnp.arctan2"]], "arctanh() (in module dpnp)": [[27, "dpnp.arctanh"]], "argmax() (in module dpnp)": [[28, "dpnp.argmax"]], "argmin() (in module dpnp)": [[29, "dpnp.argmin"]], "argsort() (in module dpnp)": [[30, "dpnp.argsort"]], "around() (in module dpnp)": [[31, "dpnp.around"]], "array() (in module 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"broadcast_arrays() (in module dpnp)": [[49, "dpnp.broadcast_arrays"]], "broadcast_to() (in module dpnp)": [[50, "dpnp.broadcast_to"]], "can_cast() (in module dpnp)": [[51, "dpnp.can_cast"]], "cbrt() (in module dpnp)": [[52, "dpnp.cbrt"]], "ceil() (in module dpnp)": [[53, "dpnp.ceil"]], "choose() (in module dpnp)": [[54, "dpnp.choose"]], "clip() (in module dpnp)": [[55, "dpnp.clip"]], "column_stack() (in module dpnp)": [[56, "dpnp.column_stack"]], "concatenate() (in module dpnp)": [[57, "dpnp.concatenate"]], "conj() (in module dpnp)": [[58, "dpnp.conj"]], "conjugate() (in module dpnp)": [[59, "dpnp.conjugate"]], "convolve() (in module dpnp)": [[60, "dpnp.convolve"]], "copy() (in module dpnp)": [[61, "dpnp.copy"]], "copysign() (in module dpnp)": [[62, "dpnp.copysign"]], "copyto() (in module dpnp)": [[63, "dpnp.copyto"]], "correlate() (in module dpnp)": [[64, "dpnp.correlate"]], "cos() (in module dpnp)": [[65, "dpnp.cos"]], "cosh() (in module dpnp)": [[66, "dpnp.cosh"]], "count_nonzero() (in module dpnp)": [[67, "dpnp.count_nonzero"]], "cov() (in module dpnp)": [[68, "dpnp.cov"]], "cross() (in module dpnp)": [[69, "dpnp.cross"]], "cumprod() (in module dpnp)": [[70, "dpnp.cumprod"]], "cumsum() (in module dpnp)": [[71, "dpnp.cumsum"]], "deg2rad() (in module dpnp)": [[72, "dpnp.deg2rad"]], "degrees() (in module dpnp)": [[73, "dpnp.degrees"]], "diag() (in module dpnp)": [[74, "dpnp.diag"]], "diag_indices() (in module dpnp)": [[75, "dpnp.diag_indices"]], "diag_indices_from() (in module dpnp)": [[76, "dpnp.diag_indices_from"]], "diagflat() (in module dpnp)": [[77, "dpnp.diagflat"]], "diagonal() (in module dpnp)": [[78, "dpnp.diagonal"]], "diff() (in module dpnp)": [[79, "dpnp.diff"]], "divide() (in module dpnp)": [[80, "dpnp.divide"]], "dot() (in module dpnp)": [[81, "dpnp.dot"]], "t (dpnp.dpnp_array.dpnp_array attribute)": [[82, "dpnp.dpnp_array.dpnp_array.T"]], "__eq__() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.__eq__"]], "__ge__() 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"item() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.item"]], "itemsize (dpnp.dpnp_array.dpnp_array attribute)": [[82, "dpnp.dpnp_array.dpnp_array.itemsize"]], "max() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.max"]], "mean() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.mean"]], "min() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.min"]], "nbytes (dpnp.dpnp_array.dpnp_array attribute)": [[82, "dpnp.dpnp_array.dpnp_array.nbytes"]], "ndim (dpnp.dpnp_array.dpnp_array attribute)": [[82, "dpnp.dpnp_array.dpnp_array.ndim"]], "nonzero() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.nonzero"]], "partition() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.partition"]], "prod() (dpnp.dpnp_array.dpnp_array method)": [[82, "dpnp.dpnp_array.dpnp_array.prod"]], "put() (dpnp.dpnp_array.dpnp_array method)": [[82, 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"dpnp.dtype.fields"]], "flags (dpnp.dtype attribute)": [[84, "dpnp.dtype.flags"]], "hasobject (dpnp.dtype attribute)": [[84, "dpnp.dtype.hasobject"]], "isalignedstruct (dpnp.dtype attribute)": [[84, "dpnp.dtype.isalignedstruct"]], "isbuiltin (dpnp.dtype attribute)": [[84, "dpnp.dtype.isbuiltin"]], "isnative (dpnp.dtype attribute)": [[84, "dpnp.dtype.isnative"]], "itemsize (dpnp.dtype attribute)": [[84, "dpnp.dtype.itemsize"]], "kind (dpnp.dtype attribute)": [[84, "dpnp.dtype.kind"]], "metadata (dpnp.dtype attribute)": [[84, "dpnp.dtype.metadata"]], "name (dpnp.dtype attribute)": [[84, "dpnp.dtype.name"]], "names (dpnp.dtype attribute)": [[84, "dpnp.dtype.names"]], "ndim (dpnp.dtype attribute)": [[84, "dpnp.dtype.ndim"]], "newbyteorder() (dpnp.dtype method)": [[84, "dpnp.dtype.newbyteorder"]], "num (dpnp.dtype attribute)": [[84, "dpnp.dtype.num"]], "shape (dpnp.dtype attribute)": [[84, "dpnp.dtype.shape"]], "str (dpnp.dtype attribute)": [[84, "dpnp.dtype.str"]], "subdtype (dpnp.dtype attribute)": [[84, "dpnp.dtype.subdtype"]], "type (dpnp.dtype attribute)": [[84, "dpnp.dtype.type"]], "ediff1d() (in module dpnp)": [[85, "dpnp.ediff1d"]], "einsum() (in module dpnp)": [[86, "dpnp.einsum"]], "einsum_path() (in module dpnp)": [[87, "dpnp.einsum_path"]], "empty() (in module dpnp)": [[88, "dpnp.empty"]], "empty_like() (in module dpnp)": [[89, "dpnp.empty_like"]], "equal() (in module dpnp)": [[90, "dpnp.equal"]], "erf() (in module dpnp)": [[91, "dpnp.erf"]], "exp() (in module dpnp)": [[92, "dpnp.exp"]], "exp2() (in module dpnp)": [[93, "dpnp.exp2"]], "expand_dims() (in module dpnp)": [[94, "dpnp.expand_dims"]], "expm1() (in module dpnp)": [[95, "dpnp.expm1"]], "extract() (in module dpnp)": [[96, "dpnp.extract"]], "eye() (in module dpnp)": [[97, "dpnp.eye"]], "fabs() (in module dpnp)": [[98, "dpnp.fabs"]], "fft() (in module dpnp.fft)": [[99, "dpnp.fft.fft"]], "fft2() (in module dpnp.fft)": [[100, "dpnp.fft.fft2"]], "fftfreq() (in module dpnp.fft)": [[101, "dpnp.fft.fftfreq"]], "fftn() (in module dpnp.fft)": [[102, "dpnp.fft.fftn"]], "fftshift() (in module dpnp.fft)": [[103, "dpnp.fft.fftshift"]], "hfft() (in module dpnp.fft)": [[104, "dpnp.fft.hfft"]], "ifft() (in module dpnp.fft)": [[105, "dpnp.fft.ifft"]], "ifft2() (in module dpnp.fft)": [[106, "dpnp.fft.ifft2"]], "ifftn() (in module dpnp.fft)": [[107, "dpnp.fft.ifftn"]], "ifftshift() (in module dpnp.fft)": [[108, "dpnp.fft.ifftshift"]], "ihfft() (in module dpnp.fft)": [[109, "dpnp.fft.ihfft"]], "irfft() (in module dpnp.fft)": [[110, "dpnp.fft.irfft"]], "irfft2() (in module dpnp.fft)": [[111, "dpnp.fft.irfft2"]], "irfftn() (in module dpnp.fft)": [[112, "dpnp.fft.irfftn"]], "rfft() (in module dpnp.fft)": [[113, "dpnp.fft.rfft"]], "rfft2() (in module dpnp.fft)": [[114, "dpnp.fft.rfft2"]], "rfftfreq() (in module dpnp.fft)": [[115, "dpnp.fft.rfftfreq"]], "rfftn() (in module dpnp.fft)": [[116, "dpnp.fft.rfftn"]], "fill_diagonal() (in module dpnp)": [[117, "dpnp.fill_diagonal"]], "finfo() (in module dpnp)": [[118, "dpnp.finfo"]], "__eq__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__eq__"]], "__ge__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__ge__"]], "__getitem__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__getitem__"]], "__gt__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__gt__"]], "__iter__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__iter__"]], "__le__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__le__"]], "__lt__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__lt__"]], "__ne__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__ne__"]], "__next__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__next__"]], "__setitem__() (dpnp.flatiter method)": [[119, "dpnp.flatiter.__setitem__"]], "flatiter (class in dpnp)": [[119, "dpnp.flatiter"]], "flip() (in module dpnp)": [[120, "dpnp.flip"]], "fliplr() (in module dpnp)": [[121, "dpnp.fliplr"]], "flipud() (in module dpnp)": [[122, "dpnp.flipud"]], "floor() (in module dpnp)": [[123, "dpnp.floor"]], "floor_divide() (in module dpnp)": [[124, "dpnp.floor_divide"]], "fmax() (in module dpnp)": [[125, "dpnp.fmax"]], "fmin() (in module dpnp)": [[126, "dpnp.fmin"]], "fmod() (in module dpnp)": [[127, "dpnp.fmod"]], "from_dlpack() (in module dpnp)": [[128, "dpnp.from_dlpack"]], "frombuffer() (in module dpnp)": [[129, "dpnp.frombuffer"]], "fromfile() (in module dpnp)": [[130, "dpnp.fromfile"]], "fromfunction() (in module dpnp)": [[131, "dpnp.fromfunction"]], "fromiter() (in module dpnp)": [[132, "dpnp.fromiter"]], "fromstring() (in module dpnp)": [[133, "dpnp.fromstring"]], "full() (in module dpnp)": [[134, "dpnp.full"]], "full_like() (in module dpnp)": [[135, "dpnp.full_like"]], "geomspace() (in module dpnp)": [[136, "dpnp.geomspace"]], "get_include() (in module dpnp)": [[137, "dpnp.get_include"]], "gradient() (in module dpnp)": [[138, "dpnp.gradient"]], "greater() (in module dpnp)": [[139, "dpnp.greater"]], "greater_equal() (in module dpnp)": [[140, "dpnp.greater_equal"]], "histogram() (in module dpnp)": [[141, "dpnp.histogram"]], "hstack() (in module dpnp)": [[142, "dpnp.hstack"]], "hypot() (in module dpnp)": [[143, "dpnp.hypot"]], "identity() (in module dpnp)": [[144, "dpnp.identity"]], "iinfo() (in module dpnp)": [[145, "dpnp.iinfo"]], "imag() (in module dpnp)": [[146, "dpnp.imag"]], "indices() (in module dpnp)": [[147, "dpnp.indices"]], "inner() (in module dpnp)": [[148, "dpnp.inner"]], "invert() (in module dpnp)": [[149, "dpnp.invert"]], "isclose() (in module dpnp)": [[150, "dpnp.isclose"]], "isfinite() (in module dpnp)": [[151, "dpnp.isfinite"]], "isinf() (in module dpnp)": [[152, "dpnp.isinf"]], "isnan() (in module dpnp)": [[153, "dpnp.isnan"]], "isscalar() (in module dpnp)": [[154, "dpnp.isscalar"]], "issubdtype() (in module dpnp)": [[155, "dpnp.issubdtype"]], "issubsctype() (in module dpnp)": [[156, "dpnp.issubsctype"]], "kron() (in module dpnp)": [[157, "dpnp.kron"]], "left_shift() (in module dpnp)": [[158, "dpnp.left_shift"]], "less() (in module dpnp)": [[159, "dpnp.less"]], "less_equal() (in module dpnp)": [[160, "dpnp.less_equal"]], "cholesky() (in module dpnp.linalg)": [[161, "dpnp.linalg.cholesky"]], "cond() (in module dpnp.linalg)": [[162, "dpnp.linalg.cond"]], "det() (in module dpnp.linalg)": [[163, "dpnp.linalg.det"]], "eig() (in module dpnp.linalg)": [[164, "dpnp.linalg.eig"]], "eigh() (in module dpnp.linalg)": [[165, "dpnp.linalg.eigh"]], "eigvals() (in module dpnp.linalg)": [[166, "dpnp.linalg.eigvals"]], "inv() (in module dpnp.linalg)": [[167, "dpnp.linalg.inv"]], "matrix_power() (in module dpnp.linalg)": [[168, "dpnp.linalg.matrix_power"]], "matrix_rank() (in module dpnp.linalg)": [[169, "dpnp.linalg.matrix_rank"]], "multi_dot() (in module dpnp.linalg)": [[170, "dpnp.linalg.multi_dot"]], "norm() (in module dpnp.linalg)": [[171, "dpnp.linalg.norm"]], "pinv() (in module dpnp.linalg)": [[172, "dpnp.linalg.pinv"]], "qr() (in module dpnp.linalg)": [[173, "dpnp.linalg.qr"]], "slogdet() (in module dpnp.linalg)": [[174, "dpnp.linalg.slogdet"]], "solve() (in module dpnp.linalg)": [[175, "dpnp.linalg.solve"]], "svd() (in module dpnp.linalg)": [[176, "dpnp.linalg.svd"]], "linspace() (in module dpnp)": [[177, "dpnp.linspace"]], "loadtxt() (in module dpnp)": [[178, "dpnp.loadtxt"]], "log() (in module dpnp)": [[179, "dpnp.log"]], "log10() (in module dpnp)": [[180, "dpnp.log10"]], "log1p() (in module dpnp)": [[181, "dpnp.log1p"]], "log2() (in module dpnp)": [[182, "dpnp.log2"]], "logaddexp() (in module dpnp)": [[183, "dpnp.logaddexp"]], "logical_and() (in module dpnp)": [[184, "dpnp.logical_and"]], "logical_not() (in module dpnp)": [[185, "dpnp.logical_not"]], "logical_or() (in module dpnp)": [[186, "dpnp.logical_or"]], "logical_xor() (in module dpnp)": [[187, "dpnp.logical_xor"]], "logspace() (in module dpnp)": [[188, "dpnp.logspace"]], "logsumexp() (in module dpnp)": [[189, "dpnp.logsumexp"]], "matmul() (in module dpnp)": [[190, "dpnp.matmul"]], "max() (in module dpnp)": [[191, "dpnp.max"]], "maximum() (in module dpnp)": [[192, "dpnp.maximum"]], "mean() (in module dpnp)": [[193, "dpnp.mean"]], "median() (in module dpnp)": [[194, "dpnp.median"]], "meshgrid() (in module dpnp)": [[195, "dpnp.meshgrid"]], "mgrid (in module dpnp)": [[196, "dpnp.mgrid"]], "min() (in module dpnp)": [[197, "dpnp.min"]], "minimum() (in module dpnp)": [[198, "dpnp.minimum"]], "mod() (in module dpnp)": [[199, "dpnp.mod"]], "modf() (in module dpnp)": [[200, "dpnp.modf"]], "moveaxis() (in module dpnp)": [[201, "dpnp.moveaxis"]], "multiply() (in module dpnp)": [[202, "dpnp.multiply"]], "nanargmax() (in module dpnp)": [[203, "dpnp.nanargmax"]], "nanargmin() (in module dpnp)": [[204, "dpnp.nanargmin"]], "nancumprod() (in module dpnp)": [[205, "dpnp.nancumprod"]], "nancumsum() (in module dpnp)": [[206, "dpnp.nancumsum"]], "nanmax() (in module dpnp)": [[207, "dpnp.nanmax"]], "nanmean() (in module dpnp)": [[208, "dpnp.nanmean"]], "nanmin() (in module dpnp)": [[209, "dpnp.nanmin"]], "nanprod() (in module dpnp)": [[210, "dpnp.nanprod"]], "nanstd() (in module dpnp)": [[211, "dpnp.nanstd"]], "nansum() (in module dpnp)": [[212, "dpnp.nansum"]], "nanvar() (in module dpnp)": [[213, "dpnp.nanvar"]], "ndarray (in module dpnp)": [[214, "dpnp.ndarray"]], "t (dpnp.ndarray property)": [[215, "dpnp.ndarray.T"]], "__abs__() (dpnp.ndarray method)": [[216, "dpnp.ndarray.__abs__"]], "__add__() (dpnp.ndarray method)": [[217, "dpnp.ndarray.__add__"]], "__and__() (dpnp.ndarray method)": [[218, "dpnp.ndarray.__and__"]], "__complex__() (dpnp.ndarray method)": [[219, "dpnp.ndarray.__complex__"]], "__copy__() (dpnp.ndarray method)": [[220, "dpnp.ndarray.__copy__"]], "__eq__() (dpnp.ndarray method)": [[221, "dpnp.ndarray.__eq__"]], "__float__() (dpnp.ndarray method)": [[222, "dpnp.ndarray.__float__"]], "__floordiv__() (dpnp.ndarray method)": [[223, "dpnp.ndarray.__floordiv__"]], "__ge__() (dpnp.ndarray method)": [[224, "dpnp.ndarray.__ge__"]], "__getitem__() (dpnp.ndarray method)": [[225, "dpnp.ndarray.__getitem__"]], "__gt__() (dpnp.ndarray method)": [[226, "dpnp.ndarray.__gt__"]], "__iadd__() (dpnp.ndarray method)": [[227, "dpnp.ndarray.__iadd__"]], "__iand__() (dpnp.ndarray method)": [[228, "dpnp.ndarray.__iand__"]], "__ifloordiv__() (dpnp.ndarray method)": [[229, "dpnp.ndarray.__ifloordiv__"]], "__ilshift__() (dpnp.ndarray method)": [[230, "dpnp.ndarray.__ilshift__"]], "__imod__() (dpnp.ndarray method)": [[231, "dpnp.ndarray.__imod__"]], "__imul__() (dpnp.ndarray method)": [[232, "dpnp.ndarray.__imul__"]], "__int__() (dpnp.ndarray method)": [[233, "dpnp.ndarray.__int__"]], "__invert__() (dpnp.ndarray method)": [[234, "dpnp.ndarray.__invert__"]], "__ior__() (dpnp.ndarray method)": [[235, "dpnp.ndarray.__ior__"]], "__ipow__() (dpnp.ndarray method)": [[236, "dpnp.ndarray.__ipow__"]], "__irshift__() (dpnp.ndarray method)": [[237, "dpnp.ndarray.__irshift__"]], "__isub__() (dpnp.ndarray method)": [[238, "dpnp.ndarray.__isub__"]], "__itruediv__() (dpnp.ndarray method)": [[239, "dpnp.ndarray.__itruediv__"]], "__ixor__() (dpnp.ndarray method)": [[240, "dpnp.ndarray.__ixor__"]], "__le__() (dpnp.ndarray method)": [[241, "dpnp.ndarray.__le__"]], "__len__() (dpnp.ndarray method)": [[242, "dpnp.ndarray.__len__"]], "__lshift__() (dpnp.ndarray method)": [[243, "dpnp.ndarray.__lshift__"]], "__lt__() (dpnp.ndarray method)": [[244, "dpnp.ndarray.__lt__"]], "__mod__() (dpnp.ndarray method)": [[245, "dpnp.ndarray.__mod__"]], "__mul__() (dpnp.ndarray method)": [[246, "dpnp.ndarray.__mul__"]], "__ne__() (dpnp.ndarray method)": [[247, "dpnp.ndarray.__ne__"]], "__neg__() (dpnp.ndarray method)": [[248, "dpnp.ndarray.__neg__"]], "__new__() (dpnp.ndarray method)": [[249, "dpnp.ndarray.__new__"]], "__or__() (dpnp.ndarray method)": [[250, "dpnp.ndarray.__or__"]], "__pos__() (dpnp.ndarray method)": [[251, "dpnp.ndarray.__pos__"]], "__pow__() (dpnp.ndarray method)": [[252, "dpnp.ndarray.__pow__"]], "__repr__() (dpnp.ndarray method)": [[253, "dpnp.ndarray.__repr__"]], "__rshift__() (dpnp.ndarray method)": [[254, "dpnp.ndarray.__rshift__"]], "__setitem__() (dpnp.ndarray method)": [[255, "dpnp.ndarray.__setitem__"]], "__str__() (dpnp.ndarray method)": [[256, "dpnp.ndarray.__str__"]], "__sub__() (dpnp.ndarray method)": [[257, "dpnp.ndarray.__sub__"]], "__truediv__() (dpnp.ndarray method)": [[258, "dpnp.ndarray.__truediv__"]], "__xor__() (dpnp.ndarray method)": [[259, "dpnp.ndarray.__xor__"]], "all() (dpnp.ndarray method)": [[260, "dpnp.ndarray.all"]], "any() (dpnp.ndarray method)": [[261, "dpnp.ndarray.any"]], "argmax() (dpnp.ndarray method)": [[262, "dpnp.ndarray.argmax"]], "argmin() (dpnp.ndarray method)": [[263, "dpnp.ndarray.argmin"]], "argsort() (dpnp.ndarray method)": [[264, "dpnp.ndarray.argsort"]], "astype() (dpnp.ndarray method)": [[265, "dpnp.ndarray.astype"]], "choose() (dpnp.ndarray method)": [[266, "dpnp.ndarray.choose"]], "clip() (dpnp.ndarray method)": [[267, "dpnp.ndarray.clip"]], "conj() (dpnp.ndarray method)": [[268, "dpnp.ndarray.conj"]], "conjugate() (dpnp.ndarray method)": [[269, "dpnp.ndarray.conjugate"]], "copy() (dpnp.ndarray method)": [[270, "dpnp.ndarray.copy"]], "cumsum() (dpnp.ndarray method)": [[271, "dpnp.ndarray.cumsum"]], "diagonal() (dpnp.ndarray method)": [[272, "dpnp.ndarray.diagonal"]], "dtype (dpnp.ndarray property)": [[273, "dpnp.ndarray.dtype"]], "fill() (dpnp.ndarray method)": [[274, "dpnp.ndarray.fill"]], "flags (dpnp.ndarray property)": [[275, "dpnp.ndarray.flags"]], "flat (dpnp.ndarray property)": [[276, "dpnp.ndarray.flat"]], "flatten() (dpnp.ndarray method)": [[277, "dpnp.ndarray.flatten"]], "imag (dpnp.ndarray property)": [[278, "dpnp.ndarray.imag"]], "item() (dpnp.ndarray method)": [[279, "dpnp.ndarray.item"]], "itemsize (dpnp.ndarray property)": [[280, "dpnp.ndarray.itemsize"]], "max() (dpnp.ndarray method)": [[281, "dpnp.ndarray.max"]], "mean() (dpnp.ndarray method)": [[282, "dpnp.ndarray.mean"]], "min() (dpnp.ndarray method)": [[283, "dpnp.ndarray.min"]], "nbytes (dpnp.ndarray property)": [[284, "dpnp.ndarray.nbytes"]], "ndim (dpnp.ndarray property)": [[285, "dpnp.ndarray.ndim"]], "nonzero() (dpnp.ndarray method)": [[286, "dpnp.ndarray.nonzero"]], "partition() (dpnp.ndarray method)": [[287, "dpnp.ndarray.partition"]], "prod() (dpnp.ndarray method)": [[288, "dpnp.ndarray.prod"]], "put() (dpnp.ndarray method)": [[289, "dpnp.ndarray.put"]], "ravel() (dpnp.ndarray method)": [[290, "dpnp.ndarray.ravel"]], "real (dpnp.ndarray property)": [[291, "dpnp.ndarray.real"]], "repeat() (dpnp.ndarray method)": [[292, "dpnp.ndarray.repeat"]], "reshape() (dpnp.ndarray method)": [[293, "dpnp.ndarray.reshape"]], "round() (dpnp.ndarray method)": [[294, "dpnp.ndarray.round"]], "shape (dpnp.ndarray property)": [[295, "dpnp.ndarray.shape"]], "size (dpnp.ndarray property)": [[296, "dpnp.ndarray.size"]], "sort() (dpnp.ndarray method)": [[297, "dpnp.ndarray.sort"]], "squeeze() (dpnp.ndarray method)": [[298, "dpnp.ndarray.squeeze"]], "std() (dpnp.ndarray method)": [[299, "dpnp.ndarray.std"]], "strides (dpnp.ndarray property)": [[300, "dpnp.ndarray.strides"]], "sum() (dpnp.ndarray method)": [[301, "dpnp.ndarray.sum"]], "swapaxes() (dpnp.ndarray method)": [[302, "dpnp.ndarray.swapaxes"]], "take() (dpnp.ndarray method)": [[303, "dpnp.ndarray.take"]], "transpose() (dpnp.ndarray method)": [[304, "dpnp.ndarray.transpose"]], "var() (dpnp.ndarray method)": [[305, "dpnp.ndarray.var"]], "negative() (in module dpnp)": [[306, "dpnp.negative"]], "nonzero() (in module dpnp)": [[307, "dpnp.nonzero"]], "not_equal() (in module dpnp)": [[308, "dpnp.not_equal"]], "ogrid (in module dpnp)": [[309, "dpnp.ogrid"]], "ones() (in module dpnp)": [[310, "dpnp.ones"]], "ones_like() (in module dpnp)": [[311, "dpnp.ones_like"]], "outer() (in module dpnp)": [[312, "dpnp.outer"]], "partition() (in module dpnp)": [[313, "dpnp.partition"]], "place() (in module dpnp)": [[314, "dpnp.place"]], "positive() (in module dpnp)": [[315, "dpnp.positive"]], "power() (in module dpnp)": [[316, "dpnp.power"]], "prod() (in module dpnp)": [[317, "dpnp.prod"]], "proj() (in module dpnp)": [[318, "dpnp.proj"]], "ptp() (in module dpnp)": [[319, "dpnp.ptp"]], "put() (in module dpnp)": [[320, "dpnp.put"]], "put_along_axis() (in module dpnp)": [[321, "dpnp.put_along_axis"]], "putmask() (in module dpnp)": [[322, "dpnp.putmask"]], "rad2deg() (in module dpnp)": [[323, "dpnp.rad2deg"]], "radians() (in module dpnp)": [[324, "dpnp.radians"]], "randomstate (class in dpnp.random)": [[325, "dpnp.random.RandomState"]], "__eq__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__eq__"]], "__ge__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__ge__"]], "__gt__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__gt__"]], "__le__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__le__"]], "__lt__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__lt__"]], "__ne__() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.__ne__"]], "get_state() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.get_state"]], "get_sycl_device() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.get_sycl_device"]], "get_sycl_queue() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.get_sycl_queue"]], "normal() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.normal"]], "rand() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.rand"]], "randint() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.randint"]], "randn() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.randn"]], "random_sample() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.random_sample"]], "standard_normal() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.standard_normal"]], "uniform() (dpnp.random.randomstate method)": [[325, "dpnp.random.RandomState.uniform"]], "beta() (in module dpnp.random)": [[326, "dpnp.random.beta"]], "binomial() (in module dpnp.random)": [[327, "dpnp.random.binomial"]], "bytes() (in module dpnp.random)": [[328, "dpnp.random.bytes"]], "chisquare() (in module dpnp.random)": [[329, "dpnp.random.chisquare"]], "choice() (in module dpnp.random)": [[330, "dpnp.random.choice"]], "dirichlet() (in module dpnp.random)": [[331, "dpnp.random.dirichlet"]], "exponential() (in module dpnp.random)": [[332, "dpnp.random.exponential"]], "f() (in module dpnp.random)": [[333, "dpnp.random.f"]], "gamma() (in module dpnp.random)": [[334, "dpnp.random.gamma"]], "geometric() (in module dpnp.random)": [[335, "dpnp.random.geometric"]], "gumbel() (in module dpnp.random)": [[336, "dpnp.random.gumbel"]], "hypergeometric() (in module dpnp.random)": [[337, "dpnp.random.hypergeometric"]], "laplace() (in module dpnp.random)": [[338, "dpnp.random.laplace"]], "logistic() (in module dpnp.random)": [[339, "dpnp.random.logistic"]], "lognormal() (in module dpnp.random)": [[340, "dpnp.random.lognormal"]], "logseries() (in module dpnp.random)": [[341, "dpnp.random.logseries"]], "multinomial() (in module dpnp.random)": [[342, "dpnp.random.multinomial"]], "multivariate_normal() (in module dpnp.random)": [[343, "dpnp.random.multivariate_normal"]], "negative_binomial() (in module dpnp.random)": [[344, "dpnp.random.negative_binomial"]], "noncentral_chisquare() (in module dpnp.random)": [[345, "dpnp.random.noncentral_chisquare"]], "noncentral_f() (in module dpnp.random)": [[346, "dpnp.random.noncentral_f"]], "normal() (in module dpnp.random)": [[347, "dpnp.random.normal"]], "pareto() (in module dpnp.random)": [[348, "dpnp.random.pareto"]], "permutation() (in module dpnp.random)": [[349, "dpnp.random.permutation"]], "poisson() (in module dpnp.random)": [[350, "dpnp.random.poisson"]], "power() (in module dpnp.random)": [[351, "dpnp.random.power"]], "rand() (in module dpnp.random)": [[352, "dpnp.random.rand"]], "randint() (in module dpnp.random)": [[353, "dpnp.random.randint"]], "randn() (in module dpnp.random)": [[354, "dpnp.random.randn"]], "random() (in module dpnp.random)": [[355, "dpnp.random.random"]], "random_integers() (in module dpnp.random)": [[356, "dpnp.random.random_integers"]], "random_sample() (in module dpnp.random)": [[357, "dpnp.random.random_sample"]], "ranf() (in module dpnp.random)": [[358, "dpnp.random.ranf"]], "rayleigh() (in module dpnp.random)": [[359, "dpnp.random.rayleigh"]], "sample() (in module dpnp.random)": [[360, "dpnp.random.sample"]], "seed() (in module dpnp.random)": [[361, "dpnp.random.seed"]], "shuffle() (in module dpnp.random)": [[362, "dpnp.random.shuffle"]], "standard_cauchy() (in module dpnp.random)": [[363, "dpnp.random.standard_cauchy"]], "standard_exponential() (in module dpnp.random)": [[364, "dpnp.random.standard_exponential"]], "standard_gamma() (in module dpnp.random)": [[365, "dpnp.random.standard_gamma"]], "standard_normal() (in module dpnp.random)": [[366, "dpnp.random.standard_normal"]], "standard_t() (in module dpnp.random)": [[367, "dpnp.random.standard_t"]], "triangular() (in module dpnp.random)": [[368, "dpnp.random.triangular"]], "uniform() (in module dpnp.random)": [[369, "dpnp.random.uniform"]], "vonmises() (in module dpnp.random)": [[370, "dpnp.random.vonmises"]], "wald() (in module dpnp.random)": [[371, "dpnp.random.wald"]], "weibull() (in module dpnp.random)": [[372, "dpnp.random.weibull"]], "zipf() (in module dpnp.random)": [[373, "dpnp.random.zipf"]], "ravel() (in module dpnp)": [[374, "dpnp.ravel"]], "real() (in module dpnp)": [[375, "dpnp.real"]], "reciprocal() (in module dpnp)": [[376, "dpnp.reciprocal"]], "reduce_hypot() (in module dpnp)": [[377, "dpnp.reduce_hypot"]], "remainder() (in module dpnp)": [[378, "dpnp.remainder"]], "repeat() (in module dpnp)": [[379, "dpnp.repeat"]], "reshape() (in module dpnp)": [[380, "dpnp.reshape"]], "result_type() (in module dpnp)": [[381, "dpnp.result_type"]], "right_shift() (in module dpnp)": [[382, "dpnp.right_shift"]], "rint() (in module dpnp)": [[383, "dpnp.rint"]], "roll() (in module dpnp)": [[384, "dpnp.roll"]], "rollaxis() (in module dpnp)": [[385, "dpnp.rollaxis"]], "round() (in module dpnp)": [[386, "dpnp.round"]], "row_stack() (in module dpnp)": [[387, "dpnp.row_stack"]], "rsqrt() (in module dpnp)": [[388, "dpnp.rsqrt"]], "searchsorted() (in module dpnp)": [[389, "dpnp.searchsorted"]], "select() (in module dpnp)": [[390, "dpnp.select"]], "shape() (in module dpnp)": [[391, "dpnp.shape"]], "sign() (in module dpnp)": [[392, "dpnp.sign"]], "signbit() (in module dpnp)": [[393, "dpnp.signbit"]], "sin() (in module dpnp)": [[394, "dpnp.sin"]], "sinh() (in module dpnp)": [[395, "dpnp.sinh"]], "sort() (in module dpnp)": [[396, "dpnp.sort"]], "sqrt() (in module dpnp)": [[397, "dpnp.sqrt"]], "square() (in module dpnp)": [[398, "dpnp.square"]], "squeeze() (in module dpnp)": [[399, "dpnp.squeeze"]], "stack() (in module dpnp)": [[400, "dpnp.stack"]], "std() (in module dpnp)": [[401, "dpnp.std"]], "subtract() (in module dpnp)": [[402, "dpnp.subtract"]], "sum() (in module dpnp)": [[403, "dpnp.sum"]], "swapaxes() (in module dpnp)": [[404, "dpnp.swapaxes"]], "take() (in module dpnp)": [[405, "dpnp.take"]], "take_along_axis() (in module dpnp)": [[406, "dpnp.take_along_axis"]], "tan() (in module dpnp)": [[407, "dpnp.tan"]], "tanh() (in module dpnp)": [[408, "dpnp.tanh"]], "tensordot() (in module dpnp)": [[409, "dpnp.tensordot"]], "tile() (in module dpnp)": [[410, "dpnp.tile"]], "trace() (in module dpnp)": [[411, "dpnp.trace"]], "transpose() (in module dpnp)": [[412, "dpnp.transpose"]], "trapz() (in module dpnp)": [[413, "dpnp.trapz"]], "tri() (in module dpnp)": [[414, "dpnp.tri"]], "tril() (in module dpnp)": [[415, "dpnp.tril"]], "tril_indices() (in module dpnp)": [[416, "dpnp.tril_indices"]], "tril_indices_from() (in module dpnp)": [[417, "dpnp.tril_indices_from"]], "triu() (in module dpnp)": [[418, "dpnp.triu"]], "triu_indices() (in module dpnp)": [[419, "dpnp.triu_indices"]], "triu_indices_from() (in module dpnp)": [[420, "dpnp.triu_indices_from"]], "true_divide() (in module dpnp)": [[421, "dpnp.true_divide"]], "trunc() (in module dpnp)": [[422, "dpnp.trunc"]], "unique() (in module dpnp)": [[423, "dpnp.unique"]], "unwrap() (in module dpnp)": [[424, "dpnp.unwrap"]], "vander() (in module dpnp)": [[425, "dpnp.vander"]], "var() (in module dpnp)": [[426, "dpnp.var"]], "vdot() (in module dpnp)": [[427, "dpnp.vdot"]], "vstack() (in module dpnp)": [[428, "dpnp.vstack"]], "where() (in module dpnp)": [[429, "dpnp.where"]], "zeros() (in module dpnp)": [[430, "dpnp.zeros"]], "zeros_like() (in module dpnp)": [[431, "dpnp.zeros_like"]], "dpnp.random": [[442, "module-dpnp.random"]]}})
\ No newline at end of file