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Comparison of Rate Source implementation PR
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| {"metadata":{"id":"9147869f-b51e-4e80-9467-8016fe5bbf65","name":"rateControllerPR","user_save_timestamp":"1970-01-01T01:00:00.000Z","auto_save_timestamp":"1970-01-01T01:00:00.000Z","language_info":{"name":"scala","file_extension":"scala","codemirror_mode":"text/x-scala"},"trusted":true,"sparkNotebook":null,"customLocalRepo":null,"customRepos":null,"customDeps":null,"customImports":null,"customArgs":null,"customSparkConf":null,"customVars":null},"cells":[{"metadata":{"trusted":true,"input_collapsed":false,"collapsed":false,"id":"BA8B01A097484D07BD15EFB283AD9B5D"},"cell_type":"code","source":["/** Calculate the end value we will emit at the time `seconds`. */\n"," def valueAtSecond(seconds: Long, rowsPerSecond: Long, rampUpTimeSeconds: Long): Long = {\n"," // E.g., rampUpTimeSeconds = 4, rowsPerSecond = 10\n"," // Then speedDeltaPerSecond = 2\n"," //\n"," // seconds = 0 1 2 3 4 5 6\n"," // speed = 0 2 4 6 8 10 10 (speedDeltaPerSecond * seconds)\n"," // end value = 0 2 6 12 20 30 40 (0 + speedDeltaPerSecond * seconds) * (seconds + 1) / 2\n"," val speedDeltaPerSecond = rowsPerSecond / (rampUpTimeSeconds + 1)\n"," if (seconds <= rampUpTimeSeconds) {\n"," // Calculate \"(0 + speedDeltaPerSecond * seconds) * (seconds + 1) / 2\" in a special way to\n"," // avoid overflow\n"," if (seconds % 2 == 1) {\n"," (seconds + 1) / 2 * speedDeltaPerSecond * seconds\n"," } else {\n"," seconds / 2 * speedDeltaPerSecond * (seconds + 1)\n"," }\n"," } else {\n"," // rampUpPart is just a special case of the above formula: rampUpTimeSeconds == seconds\n"," val rampUpPart = valueAtSecond(rampUpTimeSeconds, rowsPerSecond, rampUpTimeSeconds)\n"," rampUpPart + (seconds - rampUpTimeSeconds) * rowsPerSecond\n"," }\n"," }\n"," "],"outputs":[{"name":"stdout","output_type":"stream","text":"valueAtSecond: (seconds: Long, rowsPerSecond: Long, rampUpTimeSeconds: Long)Long\n"},{"metadata":{},"data":{"text/html":""},"output_type":"execute_result","execution_count":1,"time":"Took: 1.163s, at 2018-05-02 20:57"}]},{"metadata":{"trusted":true,"input_collapsed":false,"collapsed":false,"id":"9353595D8F1947C0887B723B612BB8CF"},"cell_type":"code","source":[" def valueAtSecond2(seconds: Long, rowsPerSecond: Long, rampUpTimeSeconds: Long): Long = {\n"," // E.g., rampUpTimeSeconds = 4, rowsPerSecond = 10\n"," // Then speedDeltaPerSecond = 2\n"," //\n"," // seconds = 0 1 2 3 4 5 6\n"," // speed = 0 2 4 6 8 10 10 (speedDeltaPerSecond * seconds)\n"," // end value = 0 2 6 12 20 30 40 (0 + speedDeltaPerSecond * seconds) * (seconds + 1) / 2\n"," val speedDeltaPerSecond = math.max(1, rowsPerSecond / (rampUpTimeSeconds + 1))\n","\n"," // If rowsPerSecond is smaller than rampUpTimeSeconds, speed will exceed the rowsPerSecond in\n"," // the rampUpTimes, so we should delay the ramp up.\n"," // E.g., rampUpTimeSeconds = 10, rowsPerSecond = 6\n"," // Then speedDeltaPerSecond = 1\n"," //\n"," // seconds = 0 1 2 3 4 5 6 7 8 9 10 11\n"," // speed = 0 0 0 0 0 1 2 3 4 5 6 6\n"," // end value = 0 0 0 0 0 1 3 6 10 15 21 27\n"," val validSeconds = math.max(0, math.min(seconds, seconds - (rampUpTimeSeconds - rowsPerSecond)))\n","\n"," if (seconds <= rampUpTimeSeconds) {\n"," // Calculate \"(0 + speedDeltaPerSecond * seconds) * (seconds + 1) / 2\" in a special way to\n"," // avoid overflow\n"," if (validSeconds % 2 == 1) {\n"," (validSeconds + 1) / 2 * speedDeltaPerSecond * validSeconds\n"," } else {\n"," validSeconds / 2 * speedDeltaPerSecond * (validSeconds + 1)\n"," }\n"," } else {\n"," // rampUpPart is just a special case of the above formula: rampUpTimeSeconds == seconds\n"," val rampUpPart = valueAtSecond2(rampUpTimeSeconds, rowsPerSecond, rampUpTimeSeconds)\n"," rampUpPart + (seconds - rampUpTimeSeconds) * rowsPerSecond\n"," }\n"," }"],"outputs":[{"name":"stdout","output_type":"stream","text":"valueAtSecond2: (seconds: Long, rowsPerSecond: Long, rampUpTimeSeconds: Long)Long\n"},{"metadata":{},"data":{"text/html":""},"output_type":"execute_result","execution_count":2,"time":"Took: 1.017s, at 2018-05-02 20:57"}]},{"metadata":{"trusted":true,"input_collapsed":false,"collapsed":false,"presentation":{"tabs_state":"{\n \"tab_id\": \"#tab662667508-2\"\n}","pivot_chart_state":"{\n \"hiddenAttributes\": [],\n \"menuLimit\": 200,\n \"cols\": [],\n \"rows\": [],\n \"vals\": [],\n \"exclusions\": {},\n \"inclusions\": {},\n \"unusedAttrsVertical\": 85,\n \"autoSortUnusedAttrs\": false,\n \"inclusionsInfo\": {},\n \"aggregatorName\": \"Count\",\n \"rendererName\": \"Table\"\n}"},"id":"FDC3BF78C58A4C2B888C751A573401EE"},"cell_type":"code","source":["(0 to 101).map(x=> (x, valueAtSecond(x, rowsPerSecond = 10, rampUpTimeSeconds=100)))"],"outputs":[{"name":"stdout","output_type":"stream","text":"res9: scala.collection.immutable.IndexedSeq[(Int, Long)] = Vector((0,0), (1,0), (2,0), (3,0), (4,0), (5,0), (6,0), (7,0), (8,0), (9,0), (10,0), (11,0), (12,0), (13,0), (14,0), (15,0), (16,0), (17,0), (18,0), (19,0), (20,0), (21,0), (22,0), (23,0), (24,0), (25,0), (26,0), (27,0), (28,0), (29,0), 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