assets/js/115.b615cc85.js

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6.0|\n|2020-01-01T00:00:06.000+08:00|            7.0|\n|2020-01-01T00:00:07.000+08:00|            8.0|\n|2020-01-01T00:00:08.000+08:00|            9.0|\n|2020-01-01T00:00:09.000+08:00|           10.0|\n|2020-01-01T00:00:10.000+08:00|           11.0|\n|2020-01-01T00:00:11.000+08:00|           12.0|\n|2020-01-01T00:00:12.000+08:00|           13.0|\n|2020-01-01T00:00:13.000+08:00|           14.0|\n|2020-01-01T00:00:14.000+08:00|           15.0|\n|2020-01-01T00:00:15.000+08:00|           16.0|\n|2020-01-01T00:00:16.000+08:00|           17.0|\n|2020-01-01T00:00:17.000+08:00|           18.0|\n|2020-01-01T00:00:18.000+08:00|           19.0|\n|2020-01-01T00:00:19.000+08:00|           20.0|\n+-----------------------------+---------------+\n")])]),s._v(" 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                                                             2|\n|1970-01-01T08:00:00.001+08:00|                                                              2|\n|1970-01-01T08:00:00.002+08:00|                                                              2|\n|1970-01-01T08:00:00.003+08:00|                                                              2|\n|1970-01-01T08:00:00.004+08:00|                                                              2|\n|1970-01-01T08:00:00.005+08:00|                                                              2|\n|1970-01-01T08:00:00.006+08:00|                                                              2|\n|1970-01-01T08:00:00.007+08:00|                                                              2|\n|1970-01-01T08:00:00.008+08:00|                                                              2|\n|1970-01-01T08:00:00.009+08:00|                                                              2|\n+-----------------------------+---------------------------------------------------------------+\n')])]),s._v(" 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The curve or trapezoids will skip these points and use the next valid point.")])])]),s._v(" "),a("h3",{attrs:{id:"examples-4"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-4"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"default-parameters"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#default-parameters"}},[s._v("#")]),s._v(" Default Parameters")]),s._v(" "),a("p",[s._v("With default parameters, this function will take one second as 1.0.")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+---------------+\n|                         Time|root.test.d1.s1|\n+-----------------------------+---------------+\n|2020-01-01T00:00:01.000+08:00|              1|\n|2020-01-01T00:00:02.000+08:00|              2|\n|2020-01-01T00:00:03.000+08:00|              5|\n|2020-01-01T00:00:04.000+08:00|              6|\n|2020-01-01T00:00:05.000+08:00|              7|\n|2020-01-01T00:00:08.000+08:00|              8|\n|2020-01-01T00:00:09.000+08:00|            NaN|\n|2020-01-01T00:00:10.000+08:00|             10|\n+-----------------------------+---------------+\n")])]),s._v(" 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"),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br")])]),a("p",[s._v("Calculation expression:\n$$\\frac{1}{2}[(1+2) \\times 1 + (2+5) \\times 1 + (5+6) \\times 1 + (6+7) \\times 1 + (7+8) \\times 3 + (8+10) \\times 2] = 57.5$$")]),s._v(" "),a("h4",{attrs:{id:"specific-time-unit"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#specific-time-unit"}},[s._v("#")]),s._v(" Specific time unit")]),s._v(" "),a("p",[s._v('With time unit specified as "1m", this function will take one minute as 1.0.')]),s._v(" "),a("p",[s._v("Input series is the same as above, the SQL for query is shown below:")]),s._v(" "),a("div",{staticClass:"language-sql 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Time|integral(root.test.d1.s1)|\n+-----------------------------+-------------------------+\n|1970-01-01T08:00:00.000+08:00|                    0.958|\n+-----------------------------+-------------------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br")])]),a("p",[s._v("Calculation expression:\n$$\\frac{1}{2\\times 60}[(1+2) \\times 1 + (2+5) \\times 1 + (5+6) \\times 1 + (6+7) \\times 1 + (7+8) \\times 3 + (8+10) \\times 2] = 0.958$$")]),s._v(" "),a("h2",{attrs:{id:"integralavg"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#integralavg"}},[s._v("#")]),s._v(" IntegralAvg")]),s._v(" "),a("h3",{attrs:{id:"usage-5"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#usage-5"}},[s._v("#")]),s._v(" Usage")]),s._v(" "),a("p",[s._v("This function is used to calculate the function average of time series.\nThe output equals to the area divided by the time interval using the same time "),a("code",[s._v("unit")]),s._v(".\nFor more information of the area under the curve, please refer to "),a("code",[s._v("Integral")]),s._v(" function.")]),s._v(" "),a("p",[a("strong",[s._v("Name:")]),s._v(" INTEGRALAVG")]),s._v(" "),a("p",[a("strong",[s._v("Input Series:")]),s._v(" Only support a single input numeric series. The type is INT32 / INT64 / FLOAT / DOUBLE.")]),s._v(" "),a("p",[a("strong",[s._v("Output Series:")]),s._v(" Output a single series. The type is DOUBLE. There is only one data point in the series, whose timestamp is 0 and value is the time-weighted average.")]),s._v(" "),a("p",[a("strong",[s._v("Note:")])]),s._v(" "),a("ul",[a("li",[a("p",[s._v("The time-weighted value equals to the integral value with any "),a("code",[s._v("unit")]),s._v(" divided by the time interval of input series.\nThe result is irrelevant to the time unit used in integral, and it's consistent with the timestamp precision of IoTDB by default.")])]),s._v(" "),a("li",[a("p",[a("code",[s._v("NaN")]),s._v(" values in the input series will be ignored. The curve or trapezoids will skip these points and use the next valid point.")])]),s._v(" "),a("li",[a("p",[s._v("If the input series is empty, the output value will be 0.0, but if there is only one data point, the value will equal to the input value.")])])]),s._v(" "),a("h3",{attrs:{id:"examples-5"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-5"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+---------------+\n|                         Time|root.test.d1.s1|\n+-----------------------------+---------------+\n|2020-01-01T00:00:01.000+08:00|              1|\n|2020-01-01T00:00:02.000+08:00|              2|\n|2020-01-01T00:00:03.000+08:00|              5|\n|2020-01-01T00:00:04.000+08:00|              6|\n|2020-01-01T00:00:05.000+08:00|              7|\n|2020-01-01T00:00:08.000+08:00|              8|\n|2020-01-01T00:00:09.000+08:00|            NaN|\n|2020-01-01T00:00:10.000+08:00|             10|\n+-----------------------------+---------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br"),a("span",{staticClass:"line-number"},[s._v("10")]),a("br"),a("span",{staticClass:"line-number"},[s._v("11")]),a("br"),a("span",{staticClass:"line-number"},[s._v("12")]),a("br")])]),a("p",[s._v("SQL for query:")]),s._v(" "),a("div",{staticClass:"language-sql line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-sql"}},[a("code",[a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("select")]),s._v(" integralavg"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v("(")]),s._v("s1"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(")")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("from")]),s._v(" root"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(".")]),s._v("test"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(".")]),s._v("d1 "),a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("where")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("time")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("<=")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("2020")]),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("-")]),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("01")]),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("-")]),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("01")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("00")]),s._v(":"),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("00")]),s._v(":"),a("span",{pre:!0,attrs:{class:"token number"}},[s._v("10")]),s._v("\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br")])]),a("p",[s._v("Output series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+----------------------------+\n|                         Time|integralavg(root.test.d1.s1)|\n+-----------------------------+----------------------------+\n|1970-01-01T08:00:00.000+08:00|                        5.75|\n+-----------------------------+----------------------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br")])]),a("p",[s._v("Calculation expression:\n$$\\frac{1}{2}[(1+2) \\times 1 + (2+5) \\times 1 + (5+6) \\times 1 + (6+7) \\times 1 + (7+8) \\times 3 + (8+10) \\times 2] / 10 = 5.75$$")]),s._v(" "),a("h2",{attrs:{id:"mad"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#mad"}},[s._v("#")]),s._v(" Mad")]),s._v(" "),a("h3",{attrs:{id:"usage-6"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#usage-6"}},[s._v("#")]),s._v(" Usage")]),s._v(" "),a("p",[s._v("The function is used to compute the exact or approximate median absolute deviation (MAD) of a numeric time series. MAD is the median of the deviation of each element from the elements' median.")]),s._v(" "),a("p",[s._v("Take a dataset ${1,3,3,5,5,6,7,8,9}$ as an instance. Its median is 5 and the deviation of each element from the median is ${0,0,1,2,2,2,3,4,4}$, whose median is 2. Therefore, the MAD of the original dataset is 2.")]),s._v(" "),a("p",[a("strong",[s._v("Name:")]),s._v(" MAD")]),s._v(" "),a("p",[a("strong",[s._v("Input Series:")]),s._v(" Only support a single input series. The data type is INT32 / INT64 / FLOAT / DOUBLE.")]),s._v(" "),a("p",[a("strong",[s._v("Parameter:")])]),s._v(" "),a("ul",[a("li",[a("code",[s._v("error")]),s._v(": The relative error of the approximate MAD. It should be within [0,1) and the default value is 0. Taking "),a("code",[s._v("error")]),s._v("=0.01 as an instance, suppose the exact MAD is $a$ and the approximate MAD is $b$, we have $0.99a \\le b \\le 1.01a$. With "),a("code",[s._v("error")]),s._v("=0, the output is the exact MAD.")])]),s._v(" "),a("p",[a("strong",[s._v("Output Series:")]),s._v(" Output a single series. The type is DOUBLE. There is only one data point in the series, whose timestamp is 0 and value is the MAD.")]),s._v(" "),a("p",[a("strong",[s._v("Note:")]),s._v(" Missing points, null points and "),a("code",[s._v("NaN")]),s._v(" in the input series will be ignored.")]),s._v(" "),a("h3",{attrs:{id:"examples-6"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-6"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"exact-query"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#exact-query"}},[s._v("#")]),s._v(" Exact Query")]),s._v(" "),a("p",[s._v("With the default "),a("code",[s._v("error")]),s._v("("),a("code",[s._v("error")]),s._v("=0), the function queries the exact MAD.")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+------------+\n|                         Time|root.test.s0|\n+-----------------------------+------------+\n|2021-03-17T10:32:17.054+08:00|   0.5319929|\n|2021-03-17T10:32:18.054+08:00|   0.9304316|\n|2021-03-17T10:32:19.054+08:00|  -1.4800133|\n|2021-03-17T10:32:20.054+08:00|   0.6114087|\n|2021-03-17T10:32:21.054+08:00|   2.5163336|\n|2021-03-17T10:32:22.054+08:00|  -1.0845392|\n|2021-03-17T10:32:23.054+08:00|   1.0562582|\n|2021-03-17T10:32:24.054+08:00|   1.3867859|\n|2021-03-17T10:32:25.054+08:00| -0.45429882|\n|2021-03-17T10:32:26.054+08:00|   1.0353678|\n|2021-03-17T10:32:27.054+08:00|   0.7307929|\n|2021-03-17T10:32:28.054+08:00|   2.3167255|\n|2021-03-17T10:32:29.054+08:00|    2.342443|\n|2021-03-17T10:32:30.054+08:00|   1.5809103|\n|2021-03-17T10:32:31.054+08:00|   1.4829416|\n|2021-03-17T10:32:32.054+08:00|   1.5800357|\n|2021-03-17T10:32:33.054+08:00|   0.7124368|\n|2021-03-17T10:32:34.054+08:00| -0.78597564|\n|2021-03-17T10:32:35.054+08:00|   1.2058644|\n|2021-03-17T10:32:36.054+08:00|   1.4215064|\n|2021-03-17T10:32:37.054+08:00|   1.2808295|\n|2021-03-17T10:32:38.054+08:00|  -0.6173715|\n|2021-03-17T10:32:39.054+08:00|  0.06644377|\n|2021-03-17T10:32:40.054+08:00|    2.349338|\n|2021-03-17T10:32:41.054+08:00|   1.7335888|\n|2021-03-17T10:32:42.054+08:00|   1.5872132|\n............\nTotal line number = 10000\n")])]),s._v(" 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1.0353678|\n|2021-03-17T10:32:27.054+08:00|   0.7307929|\n|2021-03-17T10:32:28.054+08:00|   2.3167255|\n|2021-03-17T10:32:29.054+08:00|    2.342443|\n|2021-03-17T10:32:30.054+08:00|   1.5809103|\n|2021-03-17T10:32:31.054+08:00|   1.4829416|\n|2021-03-17T10:32:32.054+08:00|   1.5800357|\n|2021-03-17T10:32:33.054+08:00|   0.7124368|\n|2021-03-17T10:32:34.054+08:00| -0.78597564|\n|2021-03-17T10:32:35.054+08:00|   1.2058644|\n|2021-03-17T10:32:36.054+08:00|   1.4215064|\n|2021-03-17T10:32:37.054+08:00|   1.2808295|\n|2021-03-17T10:32:38.054+08:00|  -0.6173715|\n|2021-03-17T10:32:39.054+08:00|  0.06644377|\n|2021-03-17T10:32:40.054+08:00|    2.349338|\n|2021-03-17T10:32:41.054+08:00|   1.7335888|\n|2021-03-17T10:32:42.054+08:00|   1.5872132|\n............\nTotal line number = 10000\n")])]),s._v(" 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2.0|\n|1970-01-01T08:00:00.900+08:00|         0.0|\n|1970-01-01T08:00:01.000+08:00|         0.0|\n|1970-01-01T08:00:01.100+08:00|         1.0|\n|1970-01-01T08:00:01.200+08:00|        -1.0|\n|1970-01-01T08:00:01.300+08:00|        -1.0|\n|1970-01-01T08:00:01.400+08:00|         1.0|\n|1970-01-01T08:00:01.500+08:00|         0.0|\n|1970-01-01T08:00:01.600+08:00|         0.0|\n|1970-01-01T08:00:01.700+08:00|        10.0|\n|1970-01-01T08:00:01.800+08:00|         2.0|\n|1970-01-01T08:00:01.900+08:00|        -2.0|\n|1970-01-01T08:00:02.000+08:00|         0.0|\n+-----------------------------+------------+\n")])]),s._v(" 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Time|minmax(root.test.s1)|\n+-----------------------------+--------------------+\n|1970-01-01T08:00:00.100+08:00| 0.16666666666666666|\n|1970-01-01T08:00:00.200+08:00| 0.16666666666666666|\n|1970-01-01T08:00:00.300+08:00|                0.25|\n|1970-01-01T08:00:00.400+08:00| 0.08333333333333333|\n|1970-01-01T08:00:00.500+08:00| 0.16666666666666666|\n|1970-01-01T08:00:00.600+08:00| 0.16666666666666666|\n|1970-01-01T08:00:00.700+08:00|                 0.0|\n|1970-01-01T08:00:00.800+08:00|  0.3333333333333333|\n|1970-01-01T08:00:00.900+08:00| 0.16666666666666666|\n|1970-01-01T08:00:01.000+08:00| 0.16666666666666666|\n|1970-01-01T08:00:01.100+08:00|                0.25|\n|1970-01-01T08:00:01.200+08:00| 0.08333333333333333|\n|1970-01-01T08:00:01.300+08:00| 0.08333333333333333|\n|1970-01-01T08:00:01.400+08:00|                0.25|\n|1970-01-01T08:00:01.500+08:00| 0.16666666666666666|\n|1970-01-01T08:00:01.600+08:00| 0.16666666666666666|\n|1970-01-01T08:00:01.700+08:00|                 1.0|\n|1970-01-01T08:00:01.800+08:00|  0.3333333333333333|\n|1970-01-01T08:00:01.900+08:00|                 0.0|\n|1970-01-01T08:00:02.000+08:00| 0.16666666666666666|\n+-----------------------------+--------------------+\n")])]),s._v(" 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2.0|\n|1970-01-01T08:00:00.900+08:00|         0.0|\n|1970-01-01T08:00:01.000+08:00|         0.0|\n|1970-01-01T08:00:01.100+08:00|         1.0|\n|1970-01-01T08:00:01.200+08:00|        -1.0|\n|1970-01-01T08:00:01.300+08:00|        -1.0|\n|1970-01-01T08:00:01.400+08:00|         1.0|\n|1970-01-01T08:00:01.500+08:00|         0.0|\n|1970-01-01T08:00:01.600+08:00|         0.0|\n|1970-01-01T08:00:01.700+08:00|        10.0|\n|1970-01-01T08:00:01.800+08:00|         2.0|\n|1970-01-01T08:00:01.900+08:00|        -2.0|\n|1970-01-01T08:00:02.000+08:00|         0.0|\n+-----------------------------+------------+\n")])]),s._v(" 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line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v('+-----------------------------+---------------------------------+\n|                         Time|mvavg(root.test.s1, "window"="3")|\n+-----------------------------+---------------------------------+\n|1970-01-01T08:00:00.300+08:00|               0.3333333333333333|\n|1970-01-01T08:00:00.400+08:00|                              0.0|\n|1970-01-01T08:00:00.500+08:00|              -0.3333333333333333|\n|1970-01-01T08:00:00.600+08:00|                              0.0|\n|1970-01-01T08:00:00.700+08:00|              -0.6666666666666666|\n|1970-01-01T08:00:00.800+08:00|                              0.0|\n|1970-01-01T08:00:00.900+08:00|               0.6666666666666666|\n|1970-01-01T08:00:01.000+08:00|                              0.0|\n|1970-01-01T08:00:01.100+08:00|               0.3333333333333333|\n|1970-01-01T08:00:01.200+08:00|                              0.0|\n|1970-01-01T08:00:01.300+08:00|              -0.6666666666666666|\n|1970-01-01T08:00:01.400+08:00|                              0.0|\n|1970-01-01T08:00:01.500+08:00|               0.3333333333333333|\n|1970-01-01T08:00:01.600+08:00|                              0.0|\n|1970-01-01T08:00:01.700+08:00|               3.3333333333333335|\n|1970-01-01T08:00:01.800+08:00|                              4.0|\n|1970-01-01T08:00:01.900+08:00|                              0.0|\n|1970-01-01T08:00:02.000+08:00|              -0.6666666666666666|\n+-----------------------------+---------------------------------+\n')])]),s._v(" 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The type is DOUBLE.")]),s._v(" "),a("h3",{attrs:{id:"examples-11"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-11"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"assigning-maximum-lag"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#assigning-maximum-lag"}},[s._v("#")]),s._v(" Assigning maximum lag")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+------------+\n|                         Time|root.test.s1|\n+-----------------------------+------------+\n|2019-12-27T00:00:00.000+08:00|         5.0|\n|2019-12-27T00:05:00.000+08:00|         5.0|\n|2019-12-27T00:10:00.000+08:00|         5.0|\n|2019-12-27T00:15:00.000+08:00|         5.0|\n|2019-12-27T00:20:00.000+08:00|         6.0|\n|2019-12-27T00:25:00.000+08:00|         5.0|\n|2019-12-27T00:30:00.000+08:00|         6.0|\n|2019-12-27T00:35:00.000+08:00|         6.0|\n|2019-12-27T00:40:00.000+08:00|         6.0|\n|2019-12-27T00:45:00.000+08:00|         6.0|\n|2019-12-27T00:50:00.000+08:00|         6.0|\n|2019-12-27T00:55:00.000+08:00|    5.982609|\n|2019-12-27T01:00:00.000+08:00|   5.9652176|\n|2019-12-27T01:05:00.000+08:00|    5.947826|\n|2019-12-27T01:10:00.000+08:00|   5.9304347|\n|2019-12-27T01:15:00.000+08:00|   5.9130435|\n|2019-12-27T01:20:00.000+08:00|   5.8956523|\n|2019-12-27T01:25:00.000+08:00|    5.878261|\n|2019-12-27T01:30:00.000+08:00|   5.8608694|\n|2019-12-27T01:35:00.000+08:00|    5.843478|\n............\nTotal line number = 18066\n")])]),s._v(" 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If "),a("code",[s._v("error")]),s._v("=0, there is only one data point in the series, whose timestamp is the same has which the first percentile value has, and value is the percentile, otherwise the timestamp of the only data point is 0.")]),s._v(" "),a("p",[a("strong",[s._v("Note:")]),s._v(" Missing points, null points and "),a("code",[s._v("NaN")]),s._v(" in the input series will be ignored.")]),s._v(" "),a("h3",{attrs:{id:"examples-12"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-12"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+------------+\n|                         Time|root.test.s0|\n+-----------------------------+------------+\n|2021-03-17T10:32:17.054+08:00|   0.5319929|\n|2021-03-17T10:32:18.054+08:00|   0.9304316|\n|2021-03-17T10:32:19.054+08:00|  -1.4800133|\n|2021-03-17T10:32:20.054+08:00|   0.6114087|\n|2021-03-17T10:32:21.054+08:00|   2.5163336|\n|2021-03-17T10:32:22.054+08:00|  -1.0845392|\n|2021-03-17T10:32:23.054+08:00|   1.0562582|\n|2021-03-17T10:32:24.054+08:00|   1.3867859|\n|2021-03-17T10:32:25.054+08:00| -0.45429882|\n|2021-03-17T10:32:26.054+08:00|   1.0353678|\n|2021-03-17T10:32:27.054+08:00|   0.7307929|\n|2021-03-17T10:32:28.054+08:00|   2.3167255|\n|2021-03-17T10:32:29.054+08:00|    2.342443|\n|2021-03-17T10:32:30.054+08:00|   1.5809103|\n|2021-03-17T10:32:31.054+08:00|   1.4829416|\n|2021-03-17T10:32:32.054+08:00|   1.5800357|\n|2021-03-17T10:32:33.054+08:00|   0.7124368|\n|2021-03-17T10:32:34.054+08:00| -0.78597564|\n|2021-03-17T10:32:35.054+08:00|   1.2058644|\n|2021-03-17T10:32:36.054+08:00|   1.4215064|\n|2021-03-17T10:32:37.054+08:00|   1.2808295|\n|2021-03-17T10:32:38.054+08:00|  -0.6173715|\n|2021-03-17T10:32:39.054+08:00|  0.06644377|\n|2021-03-17T10:32:40.054+08:00|    2.349338|\n|2021-03-17T10:32:41.054+08:00|   1.7335888|\n|2021-03-17T10:32:42.054+08:00|   1.5872132|\n............\nTotal line number = 10000\n")])]),s._v(" 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The output series is p value, and timestamp means lag.")]),s._v(" "),a("p",[a("strong",[s._v("Note:")]),s._v(" If you want to calculate Ljung-Box statistics $Q_{LB}$ instead of p value, you may use ACF function.")]),s._v(" "),a("h3",{attrs:{id:"examples-14"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-14"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"using-default-parameter"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#using-default-parameter"}},[s._v("#")]),s._v(" Using Default Parameter")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+---------------+\n|                         Time|root.test.d1.s1|\n+-----------------------------+---------------+\n|1970-01-01T00:00:00.100+08:00|           1.22|\n|1970-01-01T00:00:00.200+08:00|          -2.78|\n|1970-01-01T00:00:00.300+08:00|           1.53|\n|1970-01-01T00:00:00.400+08:00|           0.70|\n|1970-01-01T00:00:00.500+08:00|           0.75|\n|1970-01-01T00:00:00.600+08:00|          -0.72|\n|1970-01-01T00:00:00.700+08:00|          -0.22|\n|1970-01-01T00:00:00.800+08:00|           0.28|\n|1970-01-01T00:00:00.900+08:00|           0.57|\n|1970-01-01T00:00:01.000+08:00|          -0.22|\n|1970-01-01T00:00:01.100+08:00|          -0.72|\n|1970-01-01T00:00:01.200+08:00|           1.34|\n|1970-01-01T00:00:01.300+08:00|          -0.25|\n|1970-01-01T00:00:01.400+08:00|           0.17|\n|1970-01-01T00:00:01.500+08:00|           2.51|\n|1970-01-01T00:00:01.600+08:00|           1.42|\n|1970-01-01T00:00:01.700+08:00|          -1.34|\n|1970-01-01T00:00:01.800+08:00|          -0.01|\n|1970-01-01T00:00:01.900+08:00|          -0.49|\n|1970-01-01T00:00:02.000+08:00|           1.63|\n+-----------------------------+---------------+\n")])]),s._v(" 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Time|QLB(root.test.d1.s1)|\n+-----------------------------+--------------------+\n|1970-01-01T00:00:00.001+08:00|  0.2168702295315677|\n|1970-01-01T00:00:00.002+08:00|  0.3068948509261751|\n|1970-01-01T00:00:00.003+08:00|  0.4217859150918444|\n|1970-01-01T00:00:00.004+08:00|  0.5114539874276656|\n|1970-01-01T00:00:00.005+08:00|  0.6560619525616759|\n|1970-01-01T00:00:00.006+08:00|  0.7722398654053280|\n|1970-01-01T00:00:00.007+08:00|  0.8532491661465290|\n|1970-01-01T00:00:00.008+08:00|  0.9028575017542528|\n|1970-01-01T00:00:00.009+08:00|  0.9434989988192729|\n|1970-01-01T00:00:00.010+08:00|  0.8950280161464689|\n|1970-01-01T00:00:00.011+08:00|  0.7701048398839656|\n|1970-01-01T00:00:00.012+08:00|  0.7845536060001281|\n|1970-01-01T00:00:00.013+08:00|  0.5943030981705825|\n|1970-01-01T00:00:00.014+08:00|  0.4618413512531093|\n|1970-01-01T00:00:00.015+08:00|  0.2645948244673964|\n|1970-01-01T00:00:00.016+08:00|  0.3167530476666645|\n|1970-01-01T00:00:00.017+08:00|  0.2330010780351453|\n|1970-01-01T00:00:00.018+08:00|  0.0666611237622325|\n+-----------------------------+--------------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br"),a("span",{staticClass:"line-number"},[s._v("10")]),a("br"),a("span",{staticClass:"line-number"},[s._v("11")]),a("br"),a("span",{staticClass:"line-number"},[s._v("12")]),a("br"),a("span",{staticClass:"line-number"},[s._v("13")]),a("br"),a("span",{staticClass:"line-number"},[s._v("14")]),a("br"),a("span",{staticClass:"line-number"},[s._v("15")]),a("br"),a("span",{staticClass:"line-number"},[s._v("16")]),a("br"),a("span",{staticClass:"line-number"},[s._v("17")]),a("br"),a("span",{staticClass:"line-number"},[s._v("18")]),a("br"),a("span",{staticClass:"line-number"},[s._v("19")]),a("br"),a("span",{staticClass:"line-number"},[s._v("20")]),a("br"),a("span",{staticClass:"line-number"},[s._v("21")]),a("br"),a("span",{staticClass:"line-number"},[s._v("22")]),a("br")])]),a("h2",{attrs:{id:"resample"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#resample"}},[s._v("#")]),s._v(" Resample")]),s._v(" "),a("h3",{attrs:{id:"usage-15"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#usage-15"}},[s._v("#")]),s._v(" Usage")]),s._v(" "),a("p",[s._v("This function is used to resample the input series according to a given frequency,\nincluding up-sampling and down-sampling.\nCurrently, the supported up-sampling methods are\nNaN (filling with "),a("code",[s._v("NaN")]),s._v("),\nFFill (filling with previous value),\nBFill (filling with next value) and\nLinear (filling with linear interpolation).\nDown-sampling relies on group aggregation,\nwhich supports Max, Min, First, Last, Mean and Median.")]),s._v(" "),a("p",[a("strong",[s._v("Name:")]),s._v(" RESAMPLE")]),s._v(" "),a("p",[a("strong",[s._v("Input Series:")]),s._v(" Only support a single input series. The type is INT32 / INT64 / FLOAT / DOUBLE.")]),s._v(" "),a("p",[a("strong",[s._v("Parameters:")])]),s._v(" "),a("ul",[a("li",[a("code",[s._v("every")]),s._v(": The frequency of resampling, which is a positive number with an unit. The unit is 'ms' for millisecond, 's' for second, 'm' for minute, 'h' for hour and 'd' for day. This parameter cannot be lacked.")]),s._v(" "),a("li",[a("code",[s._v("interp")]),s._v(": The interpolation method of up-sampling, which is 'NaN', 'FFill', 'BFill' or 'Linear'. By default, NaN is used.")]),s._v(" "),a("li",[a("code",[s._v("aggr")]),s._v(": The aggregation method of down-sampling, which is 'Max', 'Min', 'First', 'Last', 'Mean' or 'Median'. By default, Mean is used.")]),s._v(" "),a("li",[a("code",[s._v("start")]),s._v(": The start time (inclusive) of resampling with the format 'yyyy-MM-dd HH:mm:ss'. By default, it is the timestamp of the first valid data point.")]),s._v(" "),a("li",[a("code",[s._v("end")]),s._v(": The end time (exclusive) of resampling with the format 'yyyy-MM-dd HH:mm:ss'. By default, it is the timestamp of the last valid data point.")])]),s._v(" "),a("p",[a("strong",[s._v("Output Series:")]),s._v(" Output a single series. The type is DOUBLE. It is strictly equispaced with the frequency "),a("code",[s._v("every")]),s._v(".")]),s._v(" "),a("p",[a("strong",[s._v("Note:")]),s._v(" "),a("code",[s._v("NaN")]),s._v(" in the input series will be ignored.")]),s._v(" "),a("h3",{attrs:{id:"examples-15"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-15"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"up-sampling"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#up-sampling"}},[s._v("#")]),s._v(" Up-sampling")]),s._v(" "),a("p",[s._v("When the frequency of resampling is higher than the original frequency, up-sampling starts.")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+---------------+\n|                         Time|root.test.d1.s1|\n+-----------------------------+---------------+\n|2021-03-06T16:00:00.000+08:00|           3.09|\n|2021-03-06T16:15:00.000+08:00|           3.53|\n|2021-03-06T16:30:00.000+08:00|            3.5|\n|2021-03-06T16:45:00.000+08:00|           3.51|\n|2021-03-06T17:00:00.000+08:00|           3.41|\n+-----------------------------+---------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br")])]),a("p",[s._v("SQL for query:")]),s._v(" "),a("div",{staticClass:"language-sql 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                      3.5299999713897705|\n|2021-03-06T16:20:00.000+08:00|                                        3.5199999809265137|\n|2021-03-06T16:25:00.000+08:00|                                         3.509999990463257|\n|2021-03-06T16:30:00.000+08:00|                                                       3.5|\n|2021-03-06T16:35:00.000+08:00|                                         3.503333330154419|\n|2021-03-06T16:40:00.000+08:00|                                         3.506666660308838|\n|2021-03-06T16:45:00.000+08:00|                                         3.509999990463257|\n|2021-03-06T16:50:00.000+08:00|                                        3.4766666889190674|\n|2021-03-06T16:55:00.000+08:00|                                         3.443333387374878|\n|2021-03-06T17:00:00.000+08:00|                                        3.4100000858306885|\n+-----------------------------+----------------------------------------------------------+\n')])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br"),a("span",{staticClass:"line-number"},[s._v("10")]),a("br"),a("span",{staticClass:"line-number"},[s._v("11")]),a("br"),a("span",{staticClass:"line-number"},[s._v("12")]),a("br"),a("span",{staticClass:"line-number"},[s._v("13")]),a("br"),a("span",{staticClass:"line-number"},[s._v("14")]),a("br"),a("span",{staticClass:"line-number"},[s._v("15")]),a("br"),a("span",{staticClass:"line-number"},[s._v("16")]),a("br"),a("span",{staticClass:"line-number"},[s._v("17")]),a("br")])]),a("h4",{attrs:{id:"down-sampling"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#down-sampling"}},[s._v("#")]),s._v(" Down-sampling")]),s._v(" "),a("p",[s._v("When the frequency of resampling is lower than the original frequency, down-sampling starts.")]),s._v(" "),a("p",[s._v("Input series is the same as above, the SQL for query is shown below:")]),s._v(" "),a("div",{staticClass:"language-sql line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-sql"}},[a("code",[a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("select")]),s._v(" resample"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v("(")]),s._v("s1"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(",")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'every'")]),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("=")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'30m'")]),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(",")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'aggr'")]),a("span",{pre:!0,attrs:{class:"token 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                   3.0899999141693115|\n|2021-03-06T16:30:00.000+08:00|                                                     3.5|\n|2021-03-06T17:00:00.000+08:00|                                      3.4100000858306885|\n+-----------------------------+--------------------------------------------------------+\n')])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br")])]),a("h4",{attrs:{id:"specify-the-time-period"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#specify-the-time-period"}},[s._v("#")]),s._v(" Specify the time period")]),s._v(" "),a("p",[s._v("The time period of resampling can be specified with "),a("code",[s._v("start")]),s._v(" and "),a("code",[s._v("end")]),s._v(".\nThe period outside the actual time range will be interpolated.")]),s._v(" "),a("p",[s._v("Input series is the same as above, the SQL for query is shown below:")]),s._v(" "),a("div",{staticClass:"language-sql line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-sql"}},[a("code",[a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("select")]),s._v(" resample"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v("(")]),s._v("s1"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(",")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'every'")]),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("=")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'30m'")]),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(",")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'start'")]),a("span",{pre:!0,attrs:{class:"token operator"}},[s._v("=")]),a("span",{pre:!0,attrs:{class:"token string"}},[s._v("'2021-03-06 15:00:00'")]),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(")")]),s._v(" "),a("span",{pre:!0,attrs:{class:"token keyword"}},[s._v("from")]),s._v(" root"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(".")]),s._v("test"),a("span",{pre:!0,attrs:{class:"token punctuation"}},[s._v(".")]),s._v("d1\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br")])]),a("p",[s._v("Output series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v('+-----------------------------+-----------------------------------------------------------------------+\n|                         Time|resample(root.test.d1.s1, "every"="30m", "start"="2021-03-06 15:00:00")|\n+-----------------------------+-----------------------------------------------------------------------+\n|2021-03-06T15:00:00.000+08:00|                                                                    NaN|\n|2021-03-06T15:30:00.000+08:00|                                                                    NaN|\n|2021-03-06T16:00:00.000+08:00|                                                      3.309999942779541|\n|2021-03-06T16:30:00.000+08:00|                                                     3.5049999952316284|\n|2021-03-06T17:00:00.000+08:00|                                                     3.4100000858306885|\n+-----------------------------+-----------------------------------------------------------------------+\n')])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br")])]),a("h2",{attrs:{id:"sample"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#sample"}},[s._v("#")]),s._v(" Sample")]),s._v(" "),a("h3",{attrs:{id:"usage-16"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#usage-16"}},[s._v("#")]),s._v(" Usage")]),s._v(" "),a("p",[s._v("This function is used to sample the input series,\nthat is, select a specified number of data points from the input series and output 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line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+---------------+\n|                         Time|root.test.d1.s1|\n+-----------------------------+---------------+\n|2020-01-01T00:00:01.000+08:00|            1.0|\n|2020-01-01T00:00:02.000+08:00|            2.0|\n|2020-01-01T00:00:03.000+08:00|            3.0|\n|2020-01-01T00:00:04.000+08:00|            4.0|\n|2020-01-01T00:00:05.000+08:00|            5.0|\n|2020-01-01T00:00:06.000+08:00|            6.0|\n|2020-01-01T00:00:07.000+08:00|            7.0|\n|2020-01-01T00:00:08.000+08:00|            8.0|\n|2020-01-01T00:00:09.000+08:00|            9.0|\n|2020-01-01T00:00:10.000+08:00|           10.0|\n+-----------------------------+---------------+\n")])]),s._v(" 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         8.0|\n|2020-01-01T00:00:10.000+08:00|                                                  10.0|\n+-----------------------------+------------------------------------------------------+\n')])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br"),a("span",{staticClass:"line-number"},[s._v("6")]),a("br"),a("span",{staticClass:"line-number"},[s._v("7")]),a("br"),a("span",{staticClass:"line-number"},[s._v("8")]),a("br"),a("span",{staticClass:"line-number"},[s._v("9")]),a("br")])]),a("h4",{attrs:{id:"isometric-sampling"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#isometric-sampling"}},[s._v("#")]),s._v(" Isometric Sampling")]),s._v(" "),a("p",[s._v("When "),a("code",[s._v("method")]),s._v(" 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3.0|\n|2020-01-01T00:00:05.000+08:00|                                                   5.0|\n|2020-01-01T00:00:07.000+08:00|                                                   7.0|\n|2020-01-01T00:00:09.000+08:00|                                                   9.0|\n+-----------------------------+------------------------------------------------------+\n')])]),s._v(" 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8.0|\n|1970-01-01T08:00:01.000+08:00|         9.0|\n|1970-01-01T08:00:01.100+08:00|         9.1|\n|1970-01-01T08:00:01.200+08:00|         9.2|\n|1970-01-01T08:00:01.300+08:00|         9.3|\n|1970-01-01T08:00:01.400+08:00|         9.4|\n|1970-01-01T08:00:01.500+08:00|         9.5|\n|1970-01-01T08:00:01.600+08:00|         9.6|\n|1970-01-01T08:00:01.700+08:00|         9.7|\n|1970-01-01T08:00:01.800+08:00|         9.8|\n|1970-01-01T08:00:01.900+08:00|         9.9|\n|1970-01-01T08:00:02.000+08:00|        10.0|\n|1970-01-01T08:00:02.100+08:00|         8.0|\n|1970-01-01T08:00:02.200+08:00|         6.0|\n|1970-01-01T08:00:02.300+08:00|         4.0|\n|1970-01-01T08:00:02.400+08:00|         2.0|\n|1970-01-01T08:00:02.500+08:00|         0.0|\n|1970-01-01T08:00:02.600+08:00|        -2.0|\n|1970-01-01T08:00:02.700+08:00|        -4.0|\n|1970-01-01T08:00:02.800+08:00|        -6.0|\n|1970-01-01T08:00:02.900+08:00|        -8.0|\n|1970-01-01T08:00:03.000+08:00|       -10.0|\n|1970-01-01T08:00:03.100+08:00|        10.0|\n|1970-01-01T08:00:03.200+08:00|        10.0|\n|1970-01-01T08:00:03.300+08:00|        10.0|\n|1970-01-01T08:00:03.400+08:00|        10.0|\n|1970-01-01T08:00:03.500+08:00|        10.0|\n|1970-01-01T08:00:03.600+08:00|        10.0|\n|1970-01-01T08:00:03.700+08:00|        10.0|\n|1970-01-01T08:00:03.800+08:00|        10.0|\n|1970-01-01T08:00:03.900+08:00|        10.0|\n+-----------------------------+------------+\n")])]),s._v(" 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          6.0|\n|2020-01-01T00:00:06.000+08:00|            7.0|\n|2020-01-01T00:00:07.000+08:00|            8.0|\n|2020-01-01T00:00:08.000+08:00|            9.0|\n|2020-01-01T00:00:09.000+08:00|           10.0|\n|2020-01-01T00:00:10.000+08:00|           10.0|\n|2020-01-01T00:00:11.000+08:00|           10.0|\n|2020-01-01T00:00:12.000+08:00|           10.0|\n|2020-01-01T00:00:13.000+08:00|           10.0|\n|2020-01-01T00:00:14.000+08:00|           10.0|\n|2020-01-01T00:00:15.000+08:00|           10.0|\n|2020-01-01T00:00:16.000+08:00|           10.0|\n|2020-01-01T00:00:17.000+08:00|           10.0|\n|2020-01-01T00:00:18.000+08:00|           10.0|\n|2020-01-01T00:00:19.000+08:00|           10.0|\n+-----------------------------+---------------+\n")])]),s._v(" 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skew(root.test.d1.s1)|\n+-----------------------------+-----------------------+\n|1970-01-01T08:00:00.000+08:00|    -0.9998427402292644|\n+-----------------------------+-----------------------+\n")])]),s._v(" "),a("div",{staticClass:"line-numbers-wrapper"},[a("span",{staticClass:"line-number"},[s._v("1")]),a("br"),a("span",{staticClass:"line-number"},[s._v("2")]),a("br"),a("span",{staticClass:"line-number"},[s._v("3")]),a("br"),a("span",{staticClass:"line-number"},[s._v("4")]),a("br"),a("span",{staticClass:"line-number"},[s._v("5")]),a("br")])]),a("h2",{attrs:{id:"spline"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#spline"}},[s._v("#")]),s._v(" Spline")]),s._v(" "),a("h3",{attrs:{id:"usage-19"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#usage-19"}},[s._v("#")]),s._v(" Usage")]),s._v(" "),a("p",[s._v("This function is used to calculate cubic spline interpolation of input series.")]),s._v(" "),a("p",[a("strong",[s._v("Name:")]),s._v(" SPLINE")]),s._v(" 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The function tries to calculate only when there are no less than 4 points in input series.")]),s._v(" "),a("h3",{attrs:{id:"examples-19"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#examples-19"}},[s._v("#")]),s._v(" Examples")]),s._v(" "),a("h4",{attrs:{id:"assigning-number-of-interpolation-points"}},[a("a",{staticClass:"header-anchor",attrs:{href:"#assigning-number-of-interpolation-points"}},[s._v("#")]),s._v(" Assigning number of interpolation points")]),s._v(" "),a("p",[s._v("Input series:")]),s._v(" "),a("div",{staticClass:"language- line-numbers-mode"},[a("pre",{pre:!0,attrs:{class:"language-text"}},[a("code",[s._v("+-----------------------------+------------+\n|                         Time|root.test.s1|\n+-----------------------------+------------+\n|1970-01-01T08:00:00.000+08:00|         0.0|\n|1970-01-01T08:00:00.300+08:00|         1.2|\n|1970-01-01T08:00:00.500+08:00|         1.7|\n|1970-01-01T08:00:00.700+08:00|         2.0|\n|1970-01-01T08:00:00.900+08:00|         2.1|\n|1970-01-01T08:00:01.100+08:00|         2.0|\n|1970-01-01T08:00:01.200+08:00|         1.8|\n|1970-01-01T08:00:01.300+08:00|         1.2|\n|1970-01-01T08:00:01.400+08:00|         1.0|\n|1970-01-01T08:00:01.500+08:00|         1.6|\n+-----------------------------+------------+\n")])]),s._v(" 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0.416700020313263|\n|1970-01-01T08:00:00.100+08:00|                  0.4600000222524008|\n|1970-01-01T08:00:00.110+08:00|                  0.5027000241279602|\n|1970-01-01T08:00:00.120+08:00|                  0.5448000259399414|\n|1970-01-01T08:00:00.130+08:00|                  0.5863000276883443|\n|1970-01-01T08:00:00.140+08:00|                   0.627200029373169|\n|1970-01-01T08:00:00.150+08:00|                  0.6675000309944153|\n|1970-01-01T08:00:00.160+08:00|                  0.7072000325520833|\n|1970-01-01T08:00:00.170+08:00|                  0.7463000340461731|\n|1970-01-01T08:00:00.180+08:00|                  0.7848000354766846|\n|1970-01-01T08:00:00.190+08:00|                  0.8227000368436178|\n|1970-01-01T08:00:00.200+08:00|                  0.8600000381469728|\n|1970-01-01T08:00:00.210+08:00|                  0.8967000393867494|\n|1970-01-01T08:00:00.220+08:00|                  0.9328000405629477|\n|1970-01-01T08:00:00.230+08:00|                  0.9683000416755676|\n|1970-01-01T08:00:00.240+08:00|                  1.0032000427246095|\n|1970-01-01T08:00:00.250+08:00|                   1.037500043710073|\n|1970-01-01T08:00:00.260+08:00|                   1.071200044631958|\n|1970-01-01T08:00:00.270+08:00|                  1.1043000454902647|\n|1970-01-01T08:00:00.280+08:00|                  1.1368000462849934|\n|1970-01-01T08:00:00.290+08:00|                  1.1687000470161437|\n|1970-01-01T08:00:00.300+08:00|                  1.2000000476837158|\n|1970-01-01T08:00:00.310+08:00|                  1.2307000483103594|\n|1970-01-01T08:00:00.320+08:00|                  1.2608000489139557|\n|1970-01-01T08:00:00.330+08:00|                  1.2903000494873524|\n|1970-01-01T08:00:00.340+08:00|                  1.3192000500233967|\n|1970-01-01T08:00:00.350+08:00|                  1.3475000505149364|\n|1970-01-01T08:00:00.360+08:00|                  1.3752000509548186|\n|1970-01-01T08:00:00.370+08:00|                   1.402300051335891|\n|1970-01-01T08:00:00.380+08:00|                  1.4288000516510009|\n|1970-01-01T08:00:00.390+08:00|                  1.4547000518929958|\n|1970-01-01T08:00:00.400+08:00|                   1.480000052054723|\n|1970-01-01T08:00:00.410+08:00|                  1.5047000521290301|\n|1970-01-01T08:00:00.420+08:00|                  1.5288000521087646|\n|1970-01-01T08:00:00.430+08:00|                  1.5523000519867738|\n|1970-01-01T08:00:00.440+08:00|                   1.575200051755905|\n|1970-01-01T08:00:00.450+08:00|                   1.597500051409006|\n|1970-01-01T08:00:00.460+08:00|                   1.619200050938924|\n|1970-01-01T08:00:00.470+08:00|                  1.6403000503385066|\n|1970-01-01T08:00:00.480+08:00|                   1.660800049600601|\n|1970-01-01T08:00:00.490+08:00|                   1.680700048718055|\n|1970-01-01T08:00:00.500+08:00|                  1.7000000476837158|\n|1970-01-01T08:00:00.510+08:00|                  1.7188475466453037|\n|1970-01-01T08:00:00.520+08:00|                  1.7373800457262996|\n|1970-01-01T08:00:00.530+08:00|                  1.7555825448831923|\n|1970-01-01T08:00:00.540+08:00|                  1.7734400440724702|\n|1970-01-01T08:00:00.550+08:00|                   1.790937543250622|\n|1970-01-01T08:00:00.560+08:00|                  1.8080600423741364|\n|1970-01-01T08:00:00.570+08:00|                  1.8247925413995016|\n|1970-01-01T08:00:00.580+08:00|                  1.8411200402832066|\n|1970-01-01T08:00:00.590+08:00|                  1.8570275389817397|\n|1970-01-01T08:00:00.600+08:00|                  1.8725000374515897|\n|1970-01-01T08:00:00.610+08:00|                  1.8875225356492449|\n|1970-01-01T08:00:00.620+08:00|                   1.902080033531194|\n|1970-01-01T08:00:00.630+08:00|                  1.9161575310539258|\n|1970-01-01T08:00:00.640+08:00|                  1.9297400281739288|\n|1970-01-01T08:00:00.650+08:00|                  1.9428125248476913|\n|1970-01-01T08:00:00.660+08:00|                  1.9553600210317021|\n|1970-01-01T08:00:00.670+08:00|                    1.96736751668245|\n|1970-01-01T08:00:00.680+08:00|                  1.9788200117564232|\n|1970-01-01T08:00:00.690+08:00|                  1.9897025062101101|\n|1970-01-01T08:00:00.700+08:00|                                 2.0|\n|1970-01-01T08:00:00.710+08:00|                  2.0097024933913334|\n|1970-01-01T08:00:00.720+08:00|                  2.0188199867081615|\n|1970-01-01T08:00:00.730+08:00|                   2.027367479995188|\n|1970-01-01T08:00:00.740+08:00|                  2.0353599732971155|\n|1970-01-01T08:00:00.750+08:00|                  2.0428124666586482|\n|1970-01-01T08:00:00.760+08:00|                   2.049739960124489|\n|1970-01-01T08:00:00.770+08:00|                   2.056157453739342|\n|1970-01-01T08:00:00.780+08:00|                    2.06207994754791|\n|1970-01-01T08:00:00.790+08:00|                   2.067522441594897|\n|1970-01-01T08:00:00.800+08:00|                   2.072499935925006|\n|1970-01-01T08:00:00.810+08:00|                    2.07702743058294|\n|1970-01-01T08:00:00.820+08:00|                   2.081119925613404|\n|1970-01-01T08:00:00.830+08:00|                     2.0847924210611|\n|1970-01-01T08:00:00.840+08:00|                  2.0880599169707317|\n|1970-01-01T08:00:00.850+08:00|                  2.0909374133870027|\n|1970-01-01T08:00:00.860+08:00|                  2.0934399103546166|\n|1970-01-01T08:00:00.870+08:00|                  2.0955824079182768|\n|1970-01-01T08:00:00.880+08:00|                  2.0973799061226863|\n|1970-01-01T08:00:00.890+08:00|                   2.098847405012549|\n|1970-01-01T08:00:00.900+08:00|                  2.0999999046325684|\n|1970-01-01T08:00:00.910+08:00|                  2.1005574051201332|\n|1970-01-01T08:00:00.920+08:00|                  2.1002599065303778|\n|1970-01-01T08:00:00.930+08:00|                  2.0991524087846245|\n|1970-01-01T08:00:00.940+08:00|                  2.0972799118041947|\n|1970-01-01T08:00:00.950+08:00|                  2.0946874155104105|\n|1970-01-01T08:00:00.960+08:00|                  2.0914199198245944|\n|1970-01-01T08:00:00.970+08:00|                  2.0875224246680673|\n|1970-01-01T08:00:00.980+08:00|                   2.083039929962151|\n|1970-01-01T08:00:00.990+08:00|                  2.0780174356281687|\n|1970-01-01T08:00:01.000+08:00|                  2.0724999415874406|\n|1970-01-01T08:00:01.010+08:00|                    2.06653244776129|\n|1970-01-01T08:00:01.020+08:00|                   2.060159954071038|\n|1970-01-01T08:00:01.030+08:00|                   2.053427460438006|\n|1970-01-01T08:00:01.040+08:00|                   2.046379966783517|\n|1970-01-01T08:00:01.050+08:00|                  2.0390624730288924|\n|1970-01-01T08:00:01.060+08:00|                   2.031519979095454|\n|1970-01-01T08:00:01.070+08:00|                  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108.0|\n|2020-01-01T00:00:14.000+08:00|          112.0|\n|2020-01-01T00:00:15.000+08:00|          113.0|\n|2020-01-01T00:00:16.000+08:00|          114.0|\n|2020-01-01T00:00:18.000+08:00|          116.0|\n|2020-01-01T00:00:20.000+08:00|          118.0|\n|2020-01-01T00:00:22.000+08:00|          120.0|\n|2020-01-01T00:00:26.000+08:00|          124.0|\n|2020-01-01T00:00:28.000+08:00|          126.0|\n|2020-01-01T00:00:30.000+08:00|            NaN|\n+-----------------------------+---------------+\n")])]),s._v(" 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