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MaxCompute:Mathematical functions

Last Updated:Dec 29, 2023

This topic describes the mathematical functions supported by MaxCompute SQL. This topic also describes the syntax, parameters, and examples of the mathematical functions. You can select to use mathematical functions based on your business requirements to perform operations, such as data computation and data type conversion.

The following table lists mathematical functions that are supported by MaxCompute SQL.

Function

Description

ABS

Calculates the absolute value.

ACOS

Calculates the arccosine.

ATAN2

Calculates the arctangent of expr1 and expr2.

ASIN

Calculates the arcsine.

ATAN

Calculates the arctangent.

BIN

Calculates the binary code.

CBRT

Calculates the cube root.

CEIL

Rounds up a number and returns the nearest integer.

CONV

Converts a number from one number system to another.

CORR

Calculates the Pearson correlation coefficient.

COS

Calculates the cosine.

COSH

Calculates the hyperbolic cosine.

COT

Calculates the cotangent.

DEGREES

Converts a radian value into a degree.

E

Calculates the value of e.

EXP

Calculates the exponential value.

FACTORIAL

Calculates the factorial.

FILTER

Filters the elements in an array.

FLOOR

Rounds down a number and returns the nearest integer.

FORMAT_NUMBER

Converts a number into a string in the specified format.

HEX

Converts an integer or a string into a hexadecimal number.

ISNAN

Checks whether the value of an expression is NaN.

LN

Calculates the natural logarithm.

LOG

Calculates the logarithm.

LOG10

Calculates the logarithm of a number whose base number is 10.

LOG2

Calculates the logarithm of a number whose base number is 2.

NEGATIVE

Returns the negative value of an expression.

PI

Calculates the value of π.

POSITIVE

Returns the value of an expression.

POW

Calculates the nth power of a value.

RADIANS

Converts a degree into a radian value.

RAND

Returns a random number.

ROUND

Returns a value rounded to the specified decimal place.

SHIFTLEFT

Shifts a value left by a specific number of places.

SHIFTRIGHT

Shifts a value right by a specific number of places.

SHIFTRIGHTUNSIGNED

Shifts an unsigned value right by a specific number of places.

SIGN

Returns the sign of the input value.

SIN

Calculates the sine.

SINH

Calculates the hyperbolic sine.

SQRT

Calculates the square root.

TAN

Calculates the tangent.

TANH

Calculates the hyperbolic tangent.

TRUNC

Truncates the input value to the specified decimal place.

UNHEX

This function converts a hexadecimal string into a string.

WIDTH_BUCKET

Returns the ID of the bucket into which the value of a specific expression falls.

Note

For more information about operators, such as the operator that is used to calculate remainders, see Arithmetic operators.

Precautions

MaxCompute V2.0 provides additional functions. If the functions that you use involve new data types that are supported in the MaxCompute V2.0 data type edition, you must execute the SET statement to enable the MaxCompute V2.0 data type edition. The new data types include TINYINT, SMALLINT, INT, FLOAT, VARCHAR, TIMESTAMP, and BINARY.

  • Session level: To use the MaxCompute V2.0 data type edition, you must add set odps.sql.type.system.odps2=true; before the SQL statement that you want to execute, and commit and execute them together.

  • Project level: The project owner can run the following command to enable the MaxCompute V2.0 data type edition for the project based on the project requirements. The configuration takes effect after 10 to 15 minutes. To enable the MaxCompute V2.0 data type edition at the project level, run the following command:

    setproject odps.sql.type.system.odps2=true;

    For more information about setproject, see Project operations. For more information about the precautions that you must take when you enable the MaxCompute V2.0 data type edition at the project level, see Data type editions.

Sample data

This section provides sample source data for you to understand how to use mathematical functions. In this topic, a table named mf_math_fun_t is created and data is inserted into the table. Sample statements:

create table if not exists mf_math_fun_t(
     int_data     int,
     bigint_data  bigint,
     double_data  double,
     decimal_data decimal,
     float_data   float,
     string_data  string
    );
insert into mf_math_fun_t values
(null, -10, 0.525, 0.525BD, cast(0.525 as float), '10'),
(-20, null, -0.1, -0.1BD, cast(-0.1 as float), '-10'),
(0, -1, null, 20.45BD, cast(-1 as float), '30'),
(-40, 4, 0.89, null, cast(0.89 as float), '-30'),
(5, -50, -1, -1BD, null, '50'),
(-60, 6, 1.5, 1.5BD, cast(1.5 as float), '-50'),
(-1, -70, -7.5, -7.5BD, cast(-7.5 as float),null ),
(-80, 1, -10.2, -10.2BD, cast(-10.2 as float), '-1' ),
(9, -90, 2.58, 2.58BD, cast(2.58 as float), '0'),
(-100, 10, -5.8, -5.8BD, cast(-5.8 as float), '-90');

Query data from the mf_math_fun_t table. Sample statement:

select * from mf_math_fun_t;
-- The following result is returned: 
+----------+-------------+-------------+--------------+------------+-------------+
| int_data | bigint_data | double_data | decimal_data | float_data | string_data |
+----------+-------------+-------------+--------------+------------+-------------+
| NULL     | -10         | 0.525       | 0.525        | 0.525      | 10          |
| -20      | NULL        | -0.1        | -0.1         | -0.1       | -10         |
| 0        | -1          | NULL        | 20.45        | -1         | 30          |
| -40      | 4           | 0.89        | NULL         | 0.89       | -30         |
| 5        | -50         | -1.0        | -1           | NULL       | 50          |
| -60      | 6           | 1.5         | 1.5          | 1.5        | -50         |
| -1       | -70         | -7.5        | -7.5         | -7.5       | NULL        |
| -80      | 1           | -10.2       | -10.2        | -10.2      | -1          |
| 9        | -90         | 2.58        | 2.58         | 2.58       | 0           |
| -100     | 10          | -5.8        | -5.8         | -5.8       | -90         |
+----------+-------------+-------------+--------------+------------+-------------+

ABS

  • Syntax

    bigint|double|decimal abs(<number>)
  • Description

    Calculates the absolute value of number.

  • Parameters

    number: required. The value is of the DOUBLE, BIGINT, or DECIMAL type. If the input value is of the STRING type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    Note

    If the input value is of the BIGINT type and is greater than the maximum value of the BIGINT type, a value of the DOUBLE type is returned. However, the precision may be lost.

  • Return value

    The data type of the return value depends on the data type of the input parameter. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE, BIGINT, or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING type, a value of the DOUBLE type is returned.

    • If the value of number is set to null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is null. 
      select abs(null);
      -- The return value is 1. 
      select abs(-1);
      -- The return value is 1.2. 
      select abs(-1.2);
      -- The return value is 2.0. 
      select abs("-2");
      -- The return value is 1.2232083745629837 e32. 
      select abs(122320837456298376592387456923748);
      -- Calculate the absolute value of the id field in tbl1. The following example shows the usage of an ABS function in SQL statements. Other built-in functions, except window functions and aggregate functions, are used in a similar way. 
      select abs(id) from tbl1;
    • Example of table data

      Calculate the absolute value based on the sample data. Sample statement:

      select abs(bigint_data) as bigint_new, abs(double_data) as double_new, abs(decimal_data) as decimal_new, abs(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+-------------+------------+
      | bigint_new | double_new | decimal_new | string_new |
      +------------+------------+-------------+------------+
      | 10         | 0.525      | 0.525       | 10.0       |
      | NULL       | 0.1        | 0.1         | 10.0       |
      | 1          | NULL       | 20.45       | 30.0       |
      | 4          | 0.89       | NULL        | 30.0       |
      | 50         | 1.0        | 1           | 50.0       |
      | 6          | 1.5        | 1.5         | 50.0       |
      | 70         | 7.5        | 7.5         | NULL       |
      | 1          | 10.2       | 10.2        | 1.0        |
      | 90         | 2.58       | 2.58        | 0.0        |
      | 10         | 5.8        | 5.8         | 90.0       |
      +------------+------------+-------------+------------+

ACOS

  • Syntax

    double|decimal acos(<number>)
  • Description

    Calculates the arccosine of number.

  • Parameters

    number: required. The value ranges from -1 to 1. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    The data type of the return value depends on the data type of the input parameter. The value ranges from 0 to π. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number does not fall into the range of -1 to 1, null is returned. If the Hive-compatible data type edition is enabled, NaN is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 0.5155940062460905. 
      select acos("0.87");
      -- The return value is 1.5707963267948966. 
      select acos(0);
      -- The return value is null. 
      select acos(null);
    • Example of table data

      Calculate the arccosine based on the sample data. Sample statement:

      select acos(bigint_data) as bigint_new, acos(double_data) as double_new, acos(decimal_data) as decimal_new, acos(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +-------------------+--------------------+--------------------+---------------------+
      | bigint_new        | double_new         | decimal_new        | string_new          |
      +-------------------+--------------------+--------------------+---------------------+
      | NULL              | 1.0180812136981134 | 1.0180812136981134 | NULL                |
      | NULL              | 1.6709637479564565 | 1.6709637479564565 | NULL                |
      | 3.141592653589793 | NULL               | NULL               | NULL                |
      | NULL              | 0.4734511572720662 | NULL               | NULL                |
      | NULL              | 3.141592653589793  | 3.141592653589793  | NULL                |
      | NULL              | NULL               | NULL               | NULL                |
      | NULL              | NULL               | NULL               | NULL                |
      | 0.0               | NULL               | NULL               | 3.141592653589793   |
      | NULL              | NULL               | NULL               | 1.5707963267948966  |
      | NULL              | NULL               | NULL               | NULL                |
      +-------------------+--------------------+--------------------+---------------------+

ATAN2

  • Syntax

    double atan2(<expr1>, <expr2>)
  • Description

    Calculates the arctangent of expr1 and expr2.

  • Parameters

    • expr1: required. A value of the DOUBLE type. If the input value is of the STRING, BIGINT, or DECIMAL type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    • expr2: required. A value of the DOUBLE type. If the input value is of the STRING, BIGINT, or DECIMAL type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE type is returned. The return value ranges from -π/2 to π/2. If the value of expr1 or expr2 is null, null is returned.

  • Examples

    -- The return value is 0.0. 
    select atan2(0, 0);

ASIN

  • Syntax

    double|decimal asin(<number>)
  • Description

    Calculates the arcsine of number.

  • Parameters

    number: required. The value ranges from -1 to 1. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    The data type of the return value depends on the data type of the input parameter. The return value ranges from -π/2 to π/2. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number does not fall into the range of -1 to 1, null is returned. If the Hive-compatible data type edition is enabled, NaN is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1.5707963267948966. 
      select asin(1);
      -- The return value is 1.5707963267948966. 
      select asin(-1);
      -- The return value is null. 
      select asin(null);
    • Example of table data

      Calculate the arcsine based on the sample data. Sample statement:

      select asin(bigint_data) as bigint_new, asin(double_data) as double_new, asin(decimal_data) as decimal_new, asin(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+---------------------+---------------------+---------------------+
      | bigint_new         | double_new          | decimal_new         | string_new          |
      +--------------------+---------------------+---------------------+---------------------+
      | NULL               | 0.5527151130967832  | 0.5527151130967832  | NULL                |
      | NULL               | -0.1001674211615598 | -0.1001674211615598 | NULL                |
      | -1.5707963267948966| NULL                | NULL                | NULL                |
      | NULL               | 1.0973451695228305  | NULL                | NULL                |
      | NULL               | -1.5707963267948966 | -1.5707963267948966 | NULL                |
      | NULL               | NULL                | NULL                | NULL                |
      | NULL               | NULL                | NULL                | NULL                |
      | 1.5707963267948966 | NULL                | NULL                | -1.5707963267948966 |
      | NULL               | NULL                | NULL                | 0.0                 |
      | NULL               | NULL                | NULL                | NULL                |
      +--------------------+---------------------+---------------------+---------------------+

ATAN

  • Syntax

    double atan(<number>)
  • Description

    Calculates the arctangent of number.

  • Parameters

    number: required. A value of the DOUBLE type. If the input value is of the STRING, BIGINT, or DECIMAL type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE type is returned. The return value ranges from -π/2 to π/2. If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 0.7853981633974483. 
      select atan(1);
      -- The return value is -0.7853981633974483. 
      select atan(-1);
      -- The return value is null. 
      select atan(null);
    • Example of table data

      Calculate the arctangent based on the sample data. Sample statement:

      select atan(bigint_data) as bigint_new, atan(double_data) as double_new, atan(decimal_data) as decimal_new, atan(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------------------+----------------------+----------------------+---------------------+
      | bigint_new          | double_new           | decimal_new          | string_new          |
      +---------------------+----------------------+----------------------+---------------------+
      | -1.4711276743037347 | 0.483447001567199    | 0.483447001567199    | 1.4711276743037347  |
      | NULL                | -0.09966865249116204 | -0.09966865249116204 | -1.4711276743037347 |
      | -0.7853981633974483 | NULL                 | 1.521935491607842    | 1.5374753309166493  |
      | 1.3258176636680326  | 0.7272626879966904   | NULL                 | -1.5374753309166493 |
      | -1.550798992821746  | -0.7853981633974483  | -0.7853981633974483  | 1.550798992821746   |
      | 1.4056476493802699  | 0.982793723247329    | 0.982793723247329    | -1.550798992821746  |
      | -1.5565115842075    | -1.4382447944982226  | -1.4382447944982226  | NULL                |
      | 0.7853981633974483  | -1.473069419436178   | -1.473069419436178   | -0.7853981633974483 |
      | -1.5596856728972892 | 1.2010277920014796   | 1.2010277920014796   | 0.0                 |
      | 1.4711276743037347  | -1.4000611153196139  | -1.4000611153196139  | -1.5596856728972892 |
      +---------------------+----------------------+----------------------+---------------------+

BIN

  • Syntax

    string bin(<number>)
  • Description

    Calculates the binary code of number. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. The value is of the BIGINT, INT, SMALLINT, or TINYINT type.

  • Return value

    A value of the STRING type is returned. The return value varies based on the following rules:

    • If the value of number is not of the BIGINT, INT, SMALLINT, or TINYINT type, an error is returned.

    • If the value of number is 0, 0 is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 0. 
      select bin(0);
      -- The return value is null. 
      select bin(null);
      -- The return value is 1100. 
      select bin(12);
    • Example of table data

      Calculate the binary code of values in the int_data and bigint_data columns based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select bin(int_data) as int_new, bin(bigint_data) as bigint_new from mf_math_fun_t;

      The following result is returned:

      +----------------------------------------------------------------------------+------------------------------------------------------------------+
      | int_new                                                                    | bigint_new                                                       |
      +----------------------------------------------------------------------------+------------------------------------------------------------------+
      | NULL                                                                       | 1111111111111111111111111111111111111111111111111111111111110110 |
      | 1111111111111111111111111111111111111111111111111111111111101100           | NULL                                                             |
      | 0                                                                          | 1111111111111111111111111111111111111111111111111111111111111111 |
      | 1111111111111111111111111111111111111111111111111111111111011000           | 100                                                              |
      | 101                                                                        | 1111111111111111111111111111111111111111111111111111111111001110 |
      | 1111111111111111111111111111111111111111111111111111111111000100           | 110                                                              |
      | 1111111111111111111111111111111111111111111111111111111111111111           | 1111111111111111111111111111111111111111111111111111111110111010 |
      | 1111111111111111111111111111111111111111111111111111111110110000           | 1                                                                |
      | 1001                                                                       | 1111111111111111111111111111111111111111111111111111111110100110 |
      | 1111111111111111111111111111111111111111111111111111111110011100           | 1010                                                             |
      +----------------------------------------------------------------------------+------------------------------------------------------------------+

CBRT

  • Syntax

    double cbrt(<number>)
  • Description

    Calculates the cube root of number. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. The value is of the BIGINT, INT, SMALLINT, TINYINT, DOUBLE, FLOAT, or STRING type.

  • Return value

    A value of the DOUBLE type is returned. The return value varies based on the following rules:

    • If the value of number is not of the BIGINT, INT, SMALLINT, TINYINT, DOUBLE, FLOAT, or STRING type, an error is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2.0. 
      select cbrt(8);
      -- The return value is null. 
      select cbrt(null);
    • Example of table data

      Calculate the cube root of values in columns except the decimal_data column based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select cbrt(int_data) as int_new, cbrt(bigint_data) as bigint_new, cbrt(double_data) as double_new, cbrt(float_data) as float_new, cbrt(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------------------+---------------------+----------------------+---------------------+---------------------+
      | int_new             | bigint_new          | double_new           | float_new           | string_new          |
      +---------------------+---------------------+----------------------+---------------------+---------------------+
      | NULL                | -2.1544346900318834 | 0.806714323012272    | 0.8067143108004823  | 2.1544346900318834  |
      | -2.7144176165949063 | NULL                | -0.46415888336127786 | -0.46415888566678   | -2.1544346900318834 |
      | 0.0                 | -1.0                | NULL                 | -1.0                | 3.107232505953859   |
      | -3.4199518933533937 | 1.5874010519681996  | 0.9619001716077046   | 0.961900166454112   | -3.107232505953859  |
      | 1.7099759466766968  | -3.6840314986403864 | -1.0                 | NULL                | 3.6840314986403864  |
      | -3.9148676411688634 | 1.8171205928321394  | 1.1447142425533317   | 1.1447142425533317  | -3.6840314986403864 |
      | -1.0                | -4.121285299808557  | -1.9574338205844317  | -1.9574338205844317 | NULL                |
      | -4.308869380063767  | 1.0                 | -2.168702885250197   | -2.1687028717323127 | -1.0                |
      | 2.080083823051904   | -4.481404746557165  | 1.3715339700741747   | 1.3715339565548288  | 0.0                 |
      | -4.641588833612778  | 2.1544346900318834  | -1.7967017791430528  | -1.7967017988380907 | -4.481404746557165  |
      +---------------------+---------------------+----------------------+---------------------+---------------------+

CEIL

  • Syntax

    bigint ceil(<value>)
  • Description

    Rounds up value and returns the nearest integer.

  • Parameters

    value: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the BIGINT type is returned. If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2. 
      select ceil(1.1);
      -- The return value is -1. 
      select ceil(-1.1);
      -- The return value is null. 
      select ceil(null);
    • Example of table data

      Round up a number based on the sample data. Sample statement:

      select ceil(bigint_data) as bigint_new, ceil(double_data) as double_new, ceil(decimal_data) as decimal_new, ceil(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+-------------+------------+
      | bigint_new | double_new | decimal_new | string_new |
      +------------+------------+-------------+------------+
      | -10        | 1          | 1           | 10         |
      | NULL       | 0          | 0           | -10        |
      | -1         | NULL       | 21          | 30         |
      | 4          | 1          | NULL        | -30        |
      | -50        | -1         | -1          | 50         |
      | 6          | 2          | 2           | -50        |
      | -70        | -7         | -7          | NULL       |
      | 1          | -10        | -10         | -1         |
      | -90        | 3          | 3           | 0          |
      | 10         | -5         | -5          | -90        |
      +------------+------------+-------------+------------+

CONV

  • Syntax

    string conv(<input>, bigint <from_base>, bigint <to_base>)
  • Description

    Converts a number from one number system to another.

  • Parameters

    • input: required. The value is the integer you want to convert, which is of the STRING type. If the input value is of the BIGINT or DOUBLE type, the value is implicitly converted into a value of the STRING type before calculation.

    • from_base and to_base: required. The values of these parameters are decimal numbers. The values can be 2, 8, 10, or 16. If the input value is of the STRING or DOUBLE type, the value is implicitly converted into a value of the BIGINT type before calculation.

  • Return value

    A value of the STRING type is returned. The return value varies based on the following rules:

    • If the value of input, from_base, or to_base is null, null is returned.

    • The conversion process runs at 64-bit precision. If an overflow occurs, null is returned.

    • If the value of input is a negative value, null is returned. If the value of input is a decimal, it is converted into an integer before the conversion of number systems. The decimal part is left out.

  • Examples

    • Examples of static data

      -- The return value is 12. 
      select conv('1100', 2, 10);
      -- The return value is C. 
      select conv('1100', 2, 16);
      -- The return value is 171. 
      select conv('ab', 16, 10);
      -- The return value is AB. 
      select conv('ab', 16, 16);
      -- The return value is null. 
      select conv('1100', null, 10);
    • Example of table data

      Convert a number into a binary value based on the sample data. Sample statement:

      select conv(bigint_data,10,2) as bigint_new, conv(double_data,10,2) as double_new, conv(decimal_data,10,2) as decimal_new, conv(string_data,10,2) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+-------------+------------+
      | bigint_new | double_new | decimal_new | string_new |
      +------------+------------+-------------+------------+
      | NULL       | 0          | 0           | 1010       |
      | NULL       | NULL       | NULL        | NULL       |
      | NULL       | NULL       | 10100       | 11110      |
      | 100        | 0          | NULL        | NULL       |
      | NULL       | NULL       | NULL        | 110010     |
      | 110        | 1          | 1           | NULL       |
      | NULL       | NULL       | NULL        | NULL       |
      | 1          | NULL       | NULL        | NULL       |
      | NULL       | 10         | 10          | 0          |
      | 1010       | NULL       | NULL        | NULL       |
      +------------+------------+-------------+------------+

CORR

  • Syntax

    double corr(<col1>, <col2>)
  • Description

    Calculates the Pearson correlation coefficient for two columns of data. This function is an additional function of MaxCompute V2.0.

  • Parameters

    col1 and col2: required. The names of the two columns for which the Pearson correlation coefficient is calculated. The value is of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, or DECIMAL type. Data in the col1 and col2 columns can be of different data types.

  • Return value

    A value of the DOUBLE type is returned. If an input column has a null value in a row, the row is not involved in the calculation.

  • Examples

    Calculate the Pearson correlation coefficient for the double_data and float_data columns of data based on the sample data. Sample statement:

    select corr(double_data,float_data) from mf_math_fun_t;

    The return value is 1.0.

COS

  • Syntax

    double|decimal cos(<number>)
  • Description

    Calculates the cosine of number, which is a radian value.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2.6794896585028633e-8. 
      select cos(3.1415926/2);
      -- The return value is -0.9999999999999986. 
      select cos(3.1415926);
      -- The return value is null. 
      select cos(null);
    • Example of table data

      Calculate the cosine based on the sample data. Sample statement:

      select cos(bigint_data) as bigint_new, cos(double_data) as double_new, cos(decimal_data) as decimal_new, cos(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------------------+--------------------+----------------------+---------------------+
      | bigint_new          | double_new         | decimal_new          | string_new          |
      +---------------------+--------------------+----------------------+---------------------+
      | -0.8390715290764524 | 0.8653239416229412 | 0.8653239416229412   | -0.8390715290764524 |
      | NULL                | 0.9950041652780258 | 0.9950041652780258   | -0.8390715290764524 |
      | 0.5403023058681398  | NULL               | -0.02964340851507803 | 0.15425144988758405 |
      | -0.6536436208636119 | 0.6294120265736969 | NULL                 | 0.15425144988758405 |
      | 0.9649660284921133  | 0.5403023058681398 | 0.5403023058681398   | 0.9649660284921133  |
      | 0.960170286650366   | 0.0707372016677029 | 0.0707372016677029   | 0.9649660284921133  |
      | 0.6333192030862999  | 0.3466353178350258 | 0.3466353178350258   | NULL                |
      | 0.5403023058681398  | -0.7142656520272003| -0.7142656520272003  | 0.5403023058681398  |
      | -0.4480736161291701 | -0.8464080412157756| -0.8464080412157756  | 1.0                 |
      | -0.8390715290764524 | 0.8855195169413189 | 0.8855195169413189   | -0.4480736161291701 |
      +---------------------+--------------------+----------------------+---------------------+

COSH

  • Syntax

    double|decimal cosh(<number>)
  • Description

    Calculates the hyperbolic cosine of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2.5091784169949913. 
      select cosh(3.1415926/2);
      -- The return value is null. 
      select cosh(null);
    • Example of table data

      Calculate the hyperbolic cosine based on the sample data. Sample statement:

      select cosh(bigint_data) as bigint_new, cosh(double_data) as double_new, cosh(decimal_data) as decimal_new, cosh(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +-----------------------+--------------------+--------------------+----------------------+
      | bigint_new            | double_new         | decimal_new        | string_new           |
      +-----------------------+--------------------+--------------------+----------------------+
      | 11013.232920103324    | 1.1410071063729532 | 1.1410071063729532 | 11013.232920103324   |
      | NULL                  | 1.0050041680558035 | 1.0050041680558035 | 11013.232920103324   |
      | 1.5430806348152437    | NULL               | 380445243.96844625 | 5343237290762.231    |
      | 27.308232836016487    | 1.42289270202111   | NULL               | 5343237290762.231    |
      | 2.592352764293536e21  | 1.5430806348152437 | 1.5430806348152437 | 2.592352764293536e21 |
      | 201.7156361224559     | 2.352409615243247  | 2.352409615243247  | 2.592352764293536e21 |
      | 1.2577193354595834e30 | 904.0214837702166  | 904.0214837702166  | NULL                 |
      | 1.5430806348152437    | 13451.593055733929 | 13451.593055733929 | 1.5430806348152437   |
      | 6.102016471589204e38  | 6.636456081840602  | 6.636456081840602  | 1.0                  |
      | 11013.232920103324    | 165.151293732197   | 165.151293732197   | 6.102016471589204e38 |
      +-----------------------+--------------------+--------------------+----------------------+

COT

  • Syntax

    double|decimal cot(<number>)
  • Description

    Calculates the cotangent of number, which is a radian value.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2.6794896585028643E-8. 
      select cot(3.1415926/2);
      -- The return value is null. 
      select cot(null);
    • Example of table data

      Calculate the cotangent based on the sample data. Sample statement:

      selectcot(bigint_data)asbigint_new,cot(double_data)asdouble_new,cot(decimal_data)asdecimal_new,cot(string_data)asstring_newfrommf_math_fun_t;

      The following result is returned:

      +-----------------------+--------------------+--------------------+----------------------+
      | bigint_new            | double_new         | decimal_new        | string_new           |
      +-----------------------+--------------------+--------------------+----------------------+
      | -1.54235104535692     | 1.7264594764178474 | 1.7264594764178474 | 1.54235104535692     |
      | NULL                  | -9.966644423259238 | -9.966644423259238 | -1.54235104535692    |
      | -0.6420926159343308   | NULL               | -0.02965644140592836| -0.15611995216165922|
      | 0.8636911544506167    | 0.8099792954471944 | NULL               | 0.15611995216165922  |
      | 3.6778144508505695    | -0.6420926159343308| -0.6420926159343308| -3.6778144508505695  |
      | -3.436353004180128    | 0.07091484430265245| 0.07091484430265245| 3.6778144508505695   |
      | -0.8183574478651038   | -0.36954725630901636| -0.36954725630901636| NULL               |
      | 0.6420926159343308    | -1.0205622016180353 | -1.0205622016180353 | -0.6420926159343308|
      | 0.5012027833801532    | -1.5893944776331337 | -1.5893944776331337 | 1.0                |
      | 1.54235104535692      | 1.9059736612916494  | 1.9059736612916494  | 0.5012027833801532 |
      +-----------------------+---------------------+---------------------+--------------------+

DEGREES

  • Syntax

    double degrees(<number>) 
  • Description

    Converts a radian value into a degree.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type. This function is an additional function of MaxCompute V2.0.

  • Return value

    A value of the DOUBLE type is returned. If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 90.0. 
      select degrees(1.5707963267948966);
      -- The return value is 0.0. 
      select degrees(0);
      -- The return value is null. 
      select degrees(null);
    • Example of table data

      Obtain all degrees that correspond to all columns based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select degrees(int_data) as int_new, degrees(bigint_data) as bigint_new, degrees(double_data) as double_new, degrees(decimal_data) as decimal_new, degrees(float_data) as float_new, degrees(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+
      | int_new             | bigint_new          | double_new          | decimal_new         | float_new           | string_new          |
      +---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+
      | NULL                | -572.9577951308232  | 30.08028424436822   | 30.08028424436822   | 30.080282878330387  | 572.9577951308232   |
      | -1145.9155902616465 | NULL                | -5.729577951308232  | -5.729577951308232  | -5.729578036685597  | -572.9577951308232  |
      | 0.0                 | -57.29577951308232  | NULL                | 1171.6986910425335  | -57.29577951308232  | 1718.8733853924698  |
      | -2291.831180523293  | 229.1831180523293   | 50.99324376664326   | NULL                | 50.99324294702057   | -1718.8733853924698 |
      | 286.4788975654116   | -2864.7889756541163 | -57.29577951308232  | -57.29577951308232  | NULL                | 2864.7889756541163  |
      | -3437.7467707849396 | 343.77467707849394  | 85.94366926962348   | 85.94366926962348   | 85.94366926962348   | -2864.7889756541163 |
      | -57.29577951308232  | -4010.7045659157625 | -429.71834634811745 | -429.71834634811745 | -429.71834634811745 | NULL                |
      | -4583.662361046586  | 57.29577951308232   | -584.4169510334397  | -584.4169510334397  | -584.416940105137   | -57.29577951308232  |
      | 515.662015617741    | -5156.620156177409  | 147.8231111437524   | 147.8231111437524   | 147.82310677243132  | 0.0                 |
      | -5729.5779513082325 | 572.9577951308232   | -332.31552117587745 | -332.31552117587745 | -332.31553210418014 | -5156.620156177409  |
      +---------------------+---------------------+---------------------+---------------------+---------------------+---------------------+

E

  • Syntax

    double e()
  • Description

    Calculates the value of e. This function is an additional function of MaxCompute V2.0.

  • Return value

    A value of the DOUBLE type is returned.

  • Examples

    -- The return value is 2.718281828459045. 
    select e();

EXP

  • Syntax

    double|decimal exp(<number>)
  • Description

    Calculates the exponential value of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 4.810477252069109. 
      select exp(3.1415926/2);
      -- The return value is null. 
      select exp(null);
    • Example of table data

      Calculate the exponential value based on the sample data. Sample statement:

      select exp(bigint_data) as bigint_new, exp(double_data) as double_new, exp(decimal_data) as decimal_new, exp(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +-------------------------+-------------------------+-------------------------+-------------------------+
      | bigint_new              | double_new              | decimal_new             | string_new              |
      +-------------------------+-------------------------+-------------------------+-------------------------+
      | 0.000045399929762484854 | 1.6904588483790914      | 1.6904588483790914      | 22026.465794806718      |
      | NULL                    | 0.9048374180359595      | 0.9048374180359595      | 0.000045399929762484854 |
      | 0.36787944117144233     | NULL                    | 760890487.9368925       | 10686474581524.463      |
      | 54.598150033144236      | 2.4351296512898744      | NULL                    | 9.357622968840175e-14   |
      | 1.9287498479639178e-22  | 0.36787944117144233     | 0.36787944117144233     | 5.184705528587072e21    |
      | 403.4287934927351       | 4.4816890703380645      | 4.4816890703380645      | 1.9287498479639178e-22  |
      | 3.975449735908647e-31   | 0.0005530843701478336   | 0.0005530843701478336   | NULL                    |
      | 2.718281828459045       | 0.000037170318684126734 | 0.000037170318684126734 | 0.36787944117144233     |
      | 8.194012623990515e-40   | 13.197138159658358      | 13.197138159658358      | 1.0                     |
      | 22026.465794806718      | 0.0030275547453758153   | 0.0030275547453758153   | 8.194012623990515e-40   |
      +-------------------------+-------------------------+-------------------------+-------------------------+

FACTORIAL

  • Syntax

    bigint factorial(<number>)
  • Description

    Calculates the factorial of number. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. The value is of the BIGINT, INT, SMALLINT, or TINYINT type and ranges from 0 to 20.

  • Return value

    A value of the BIGINT type is returned. The return value varies based on the following rules:

    • If the value of number is 0, 1 is returned.

    • If the value of number is null or a value that does not fall into the range from 0 to 20, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 120. 5!=5*4*3*2*1=120
      select factorial(5); 
      -- The return value is 1. 
      select factorial(0); 
      -- The return value is null. 
      select factorial(null);
    • Example of table data

      Calculate the factorial of values in the int_data and bigint_data columns based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select factorial(int_data) as int_new, factorial(bigint_data) as bigint_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+
      | int_new    | bigint_new |
      +------------+------------+
      | NULL       | NULL       |
      | NULL       | NULL       |
      | 1          | NULL       |
      | NULL       | 24         |
      | 120        | NULL       |
      | NULL       | 720        |
      | NULL       | NULL       |
      | NULL       | 1          |
      | 362880     | NULL       |
      | NULL       | 3628800    |
      +------------+------------+

FILTER

  • Syntax

    array<T> filter(array<T> <a>, function<T,boolean> <func>)
  • Parameters

    • a: required. This parameter specifies an array. T in array<T> specifies the data type of the elements in the array. The elements can be of any data type.

    • func: required. This parameter specifies the built-in function, user-defined function, or expression that is used to filter the elements in Array a. The value must be of the same data type as the elements in Array a. The output result of the function or expression is of the BOOLEAN type.

  • Return value

    A value of the ARRAY type is returned.

  • Examples

    -- The return value is [2, 3]. 
    select filter(array(1, 2, 3), x -> x > 1);
    Note

    In this example, the combination of a hyphen and a closing angle bracket (->) is used. For more information about how to use the combination of a hyphen and a closing angle bracket (->) in Lambda functions, see Lambda functions.

FLOOR

  • Syntax

    bigint floor(<number>)
  • Description

    Rounds down number and returns the nearest integer that is no greater than the value of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the BIGINT type is returned. If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1. 
      select floor(1.2);
      -- The return value is 0. 
      select floor(0.1);
      -- The return value is -2. 
      select floor(-1.2);
      -- The return value is -1. 
      select floor(-0.1);
      -- The return value is 0. 
      select floor(0.0);
      -- The return value is 0. 
      select floor(-0.0);
      -- The return value is null. 
      select floor(null);
    • Example of table data

      Round down a number based on the sample data. Sample statement:

      select floor(bigint_data) as bigint_new, floor(double_data) as double_new, floor(decimal_data) as decimal_new, floor(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+-------------+------------+
      | bigint_new | double_new | decimal_new | string_new |
      +------------+------------+-------------+------------+
      | -10        | 0          | 0           | 10         |
      | NULL       | -1         | -1          | -10        |
      | -1         | NULL       | 20          | 30         |
      | 4          | 0          | NULL        | -30        |
      | -50        | -1         | -1          | 50         |
      | 6          | 1          | 1           | -50        |
      | -70        | -8         | -8          | NULL       |
      | 1          | -11        | -11         | -1         |
      | -90        | 2          | 2           | 0          |
      | 10         | -6         | -6          | -90        |
      +------------+------------+-------------+------------+

FORMAT_NUMBER

  • Syntax

    string format_number(float|double|decimal <expr1>, <expr2>)
  • Description

    Converts a number into a string in the specified format. This function is an additional function of MaxCompute V2.0.

  • Parameters

    • expr1: required. This parameter specifies the expression that you want to format. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

    • expr2: required. This parameter specifies the format of the expression after the conversion. It can specify the number of decimal places that you want to retain. It can also be expressed in a format similar to #,###,###.##.

  • Return value

    A value of the STRING type is returned. The return value varies based on the following rules:

    • If expr2 is greater than 0, the value is rounded to the specified place after the decimal point.

    • If expr2 is equal to 0, the value has no decimal point or decimal part.

    • If expr2 is less than 0 or greater than 340, an error is returned.

    • If the value of expr1 or expr2 is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 5.230. 
      select format_number(5.230134523424545456,3);
      -- The return value is 12,332.123. 
      select format_number(12332.123456, '#,###,###,###.###');
      -- The return value is null. 
      select format_number(null,3);
    • Example of table data

      Retain values in all columns to the specified number of decimal places based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select format_number(int_data, 1) as int_new, format_number(bigint_data, 1) as bigint_new, format_number(double_data, 2) as double_new, format_number(decimal_data, 1) as decimal_new, format_number(float_data, 0) as float_new, format_number(string_data, 1) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------+------------+------------+-------------+-----------+------------+
      | int_new | bigint_new | double_new | decimal_new | float_new | string_new |
      +---------+------------+------------+-------------+-----------+------------+
      | NULL    | -10.0      | 0.53       | 0.5         | 1         | 10.0       |
      | -20.0   | NULL       | -0.10      | -0.1        | -0        | -10.0      |
      | 0.0     | -1.0       | NULL       | 20.5        | -1        | 30.0       |
      | -40.0   | 4.0        | 0.89       | NULL        | 1         | -30.0      |
      | 5.0     | -50.0      | -1.00      | -1.0        | NULL      | 50.0       |
      | -60.0   | 6.0        | 1.50       | 1.5         | 2         | -50.0      |
      | -1.0    | -70.0      | -7.50      | -7.5        | -8        | NULL       |
      | -80.0   | 1.0        | -10.20     | -10.2       | -10       | -1.0       |
      | 9.0     | -90.0      | 2.58       | 2.6         | 3         | 0.0        |
      | -100.0  | 10.0       | -5.80      | -5.8        | -6        | -90.0      |
      +---------+------------+------------+-------------+-----------+------------+

HEX

  • Syntax

    string hex(<number>) 
  • Description

    Converts a number or a string into a hexadecimal number. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

  • Return value

    A value of the STRING type is returned. The return value varies based on the following rules:

    • If the value of number is not 0 or null, a value of the STRING type is returned.

    • If the value of number is 0, 0 is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 0. 
      select hex(0);
      -- The return value is 616263. 
      select hex('abc');
      -- The return value is 11. 
      select hex(17);
      -- The return value is 3137. 
      select hex('17');
      -- An error is returned.  
      select hex(null);
    • Example of table data

      Convert numbers in all columns into hexadecimal numbers based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select hex(int_data) as int_new, hex(bigint_data) as bigint_new, hex(double_data) as double_new, hex(decimal_data) as decimal_new, hex(float_data) as float_new, hex(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------------+------------------+------------+-------------+------------+------------+
      | int_new          | bigint_new       | double_new | decimal_new | float_new  | string_new |
      +------------------+------------------+------------+-------------+------------+------------+
      | NULL             | FFFFFFFFFFFFFFF6 | 302E353235 | 302E353235  | 302E353235 | 3130       |
      | FFFFFFFFFFFFFFEC | NULL             | 2D302E31   | 2D302E31    | 2D302E31   | 2D3130     |
      | 0                | FFFFFFFFFFFFFFFF | NULL       | 32302E3435  | 2D31       | 3330       |
      | FFFFFFFFFFFFFFD8 | 4                | 302E3839   | NULL        | 302E3839   | 2D3330     |
      | 5                | FFFFFFFFFFFFFFCE | 2D312E30   | 2D31        | NULL       | 3530       |
      | FFFFFFFFFFFFFFC4 | 6                | 312E35     | 312E35      | 312E35     | 2D3530     |
      | FFFFFFFFFFFFFFFF | FFFFFFFFFFFFFFBA | 2D372E35   | 2D372E35    | 2D372E35   | NULL       |
      | FFFFFFFFFFFFFFB0 | 1                | 2D31302E32 | 2D31302E32  | 2D31302E32 | 2D31       |
      | 9                | FFFFFFFFFFFFFFA6 | 322E3538   | 322E3538    | 322E3538   | 30         |
      | FFFFFFFFFFFFFF9C | A                | 2D352E38   | 2D352E38    | 2D352E38   | 2D3930     |
      +------------------+------------------+------------+-------------+------------+------------+

ISNAN

  • Syntax

    boolean isnan(<expr>)
  • Description

    Checks whether the value of expr is NaN.

  • Parameters

    expr: required. A value of the DOUBLE type. If the input value is of the STRING, BIGINT, or DECIMAL type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    • If the value of expr is NaN, True is returned. Otherwise, False is returned.

    • If the value of expr is null, False is returned.

  • Examples

    -- The return value is False. 
    SELECT isnan(100.1);

LN

  • Syntax

    double|decimal ln(<number>)
  • Description

    Calculates the natural logarithm of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is a negative value or 0, null is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1.144729868791239. 
      select ln(3.1415926);
      -- The return value is null. 
      select ln(null);
    • Example of table data

      Calculate the natural logarithm value based on the sample data. Sample statement:

      select ln(bigint_data) as bigint_new, ln(double_data) as double_new, ln(decimal_data) as decimal_new, ln(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+----------------------+---------------------+---------------------+
      | bigint_new         | double_new           | decimal_new         | string_new          |
      +--------------------+----------------------+---------------------+---------------------+
      | NULL               | -0.6443570163905132  | -0.6443570163905132 | 2.302585092994046   |
      | NULL               | NULL                 | NULL                | NULL                |
      | NULL               | NULL                 | 3.017982882488811   | 3.4011973816621555  |
      | 1.3862943611198906 | -0.11653381625595151 | NULL                | NULL                |
      | NULL               | NULL                 | NULL                | 3.912023005428146   |
      | 1.791759469228055  | 0.4054651081081644   | 0.4054651081081644  | NULL                |
      | NULL               | NULL                 | NULL                | NULL                |
      | 0.0                | NULL                 | NULL                | NULL                |
      | NULL               | 0.9477893989335261   | 0.9477893989335261  | NULL                |
      | 2.302585092994046  | NULL                 | NULL                | NULL                |
      +--------------------+----------------------+---------------------+---------------------+

LOG

  • Syntax

    double log(<base>, <x>)
  • Description

    Calculates the logarithm of x whose base number is base.

  • Parameters

    • base: required. The base number. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    • x: required. The value for which the logarithm is calculated. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE type is returned. The return value varies based on the following rules:

    • If the value of base or x is null, null is returned.

    • If the value of base or x is a negative value or 0, null is returned.

    • If the value of base is 1, null is returned. The value 1 causes division by zero.

  • Examples

    • Examples of static data

      -- The return value is 4.0. 
      select log(2, 16);
      -- The return value is null. 
      select log(2, null);
    • Example of table data

      Calculate the logarithm value of a column whose base number is 2 based on the sample data. Sample statement:

      select log(2,bigint_data) as bigint_new, log(2,double_data) as double_new, log(2,decimal_data) as decimal_new, log(2,string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+----------------------+--------------------+--------------------+
      | bigint_new         | double_new           | decimal_new        | string_new         |
      +--------------------+----------------------+--------------------+--------------------+
      | NULL               | -0.929610672108602   | -0.929610672108602 | 3.3219280948873626 |
      | NULL               | NULL                 | NULL               | NULL               |
      | NULL               | NULL                 | 4.354028938054387  | 4.906890595608519  |
      | 2.0                | -0.16812275880832692 | NULL               | NULL               |
      | NULL               | NULL                 | NULL               | 5.643856189774724  |
      | 2.584962500721156  | 0.5849625007211562   | 0.5849625007211562 | NULL               |
      | NULL               | NULL                 | NULL               | NULL               |
      | 0.0                | NULL                 | NULL               | NULL               |
      | NULL               | 1.3673710656485296   | 1.3673710656485296 | NULL               |
      | 3.3219280948873626 | NULL                 | NULL               | NULL               |
      +--------------------+----------------------+--------------------+--------------------+

LOG10

  • Syntax

    double log10(<number>)
  • Description

    Calculates the logarithm of number whose base number is 10. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

  • Return value

    A value of the DOUBLE type is returned. If the value of number is 0, a negative value, or null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is null. 
      select log10(null);
      -- The return value is null. 
      select log10(0);
      -- The return value is 0.9030899869919435. 
      select log10(8);
    • Example of table data

      Calculate the logarithms of values in all columns whose base number is 10 based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select log10(int_data) as int_new, log10(bigint_data) as bigint_new, log10(double_data) as double_new, log10(decimal_data) as decimal_new, log10(float_data) as float_new, log10(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+--------------------+---------------------+---------------------+-----------------------+--------------------+
      | int_new            | bigint_new         | double_new          | decimal_new         | float_new             | string_new         |
      +--------------------+--------------------+---------------------+---------------------+-----------------------+--------------------+
      | NULL               | NULL               | -0.2798406965940431 | -0.2798406965940431 | -0.27984071631668606  | 1.0                |
      | NULL               | NULL               | NULL                | NULL                | NULL                  | NULL               |
      | NULL               | NULL               | NULL                | 1.3106933123433606  | NULL                  | 1.4771212547196624 |
      | NULL               | 0.6020599913279623 | -0.0506099933550872 | NULL                | -0.050610000335573106 | NULL               |
      | 0.6989700043360187 | NULL               | NULL                | NULL                | NULL                  | 1.6989700043360185 |
      | NULL               | 0.7781512503836435 | 0.17609125905568124 | 0.17609125905568124 | 0.17609125905568124   | NULL               |
      | NULL               | NULL               | NULL                | NULL                | NULL                  | NULL               |
      | NULL               | 0.0                | NULL                | NULL                | NULL                  | NULL               |
      | 0.9542425094393249 | NULL               | 0.4116197059632301  | 0.4116197059632301  | 0.411619693120579     | NULL               |
      | NULL               | 1.0                | NULL                | NULL                | NULL                  | NULL               |
      +--------------------+--------------------+---------------------+---------------------+-----------------------+--------------------+

LOG2

  • Syntax

    double log2(<number>)
  • Description

    Calculates the logarithm of number whose base number is 2. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

  • Return value

    A value of the DOUBLE type is returned. If the value of number is 0, a negative value, or null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is null. 
      select log2(null);
      -- The return value is null. 
      select log2(0);
      -- The return value is 3.0. 
      select log2(8);
    • Example of table data

      Calculate the logarithms of all columns whose base number is 2 based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select log2(int_data) as int_new, log2(bigint_data) as bigint_new, log2(double_data) as double_new, log2(decimal_data) as decimal_new, log2(float_data) as float_new, log2(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+--------------------+----------------------+--------------------+----------------------+--------------------+
      | int_new            | bigint_new         | double_new           | decimal_new        | float_new            | string_new         |
      +--------------------+--------------------+----------------------+--------------------+----------------------+--------------------+
      | NULL               | NULL               | -0.929610672108602   | -0.929610672108602 | -0.9296107376258038  | 3.3219280948873626 |
      | NULL               | NULL               | NULL                 | NULL               | NULL                 | NULL               |
      | NULL               | NULL               | NULL                 | 4.354028938054387  | NULL                 | 4.906890595608519  |
      | NULL               | 2.0                | -0.16812275880832692 | NULL               | -0.16812278199699915 | NULL               |
      | 2.321928094887362  | NULL               | NULL                 | NULL               | NULL                 | 5.643856189774724  |
      | NULL               | 2.584962500721156  | 0.5849625007211562   | 0.5849625007211562 | 0.5849625007211562   | NULL               |
      | NULL               | NULL               | NULL                 | NULL               | NULL                 | NULL               |
      | NULL               | 0.0                | NULL                 | NULL               | NULL                 | NULL               |
      | 3.1699250014423126 | NULL               | 1.3673710656485296   | 1.3673710656485296 | 1.367371022986166    | NULL               |
      | NULL               | 3.3219280948873626 | NULL                 | NULL               | NULL                 | NULL               |
      +--------------------+--------------------+----------------------+--------------------+----------------------+--------------------+

NEGATIVE

  • Syntax

    TINYINT|SMALLINT|INT|BIGINT|DOUBLE|DECIMAL negative(TINYINT|SMALLINT|INT|BIGINT|DOUBLE|DECIMAL <expr>)
  • Description

    Returns the negative value of expr.

  • Parameters

    expr: required. The value is an expression of the TINYINT, SMALLINT, INT, BIGINT, DOUBLE, or DECIMAL type.

  • Return value

    The negative value of expr is returned.

  • Examples

    -- The return value is -1. 
    SELECT negative(1);

PI

  • Syntax

    double pi()
  • Description

    Calculates the value of π. This function is an additional function of MaxCompute V2.0.

  • Return value

    A value of the DOUBLE type is returned.

  • Examples

    -- The return value is 3.141592653589793. 
    select pi();

POSITIVE

  • Syntax

    TINYINT|SMALLINT|INT|BIGINT|DOUBLE|DECIMAL positive(TINYINT|SMALLINT|INT|BIGINT|DOUBLE|DECIMAL <expr>)
  • Description

    Returns the value of expr.

  • Parameters

    expr: required. The value is an expression of the TINYINT, SMALLINT, INT, BIGINT, DOUBLE, or DECIMAL type.

  • Return value

    The value of expr is returned.

  • Examples

    -- The return value is 1. 
    SELECT positive(1);

POW

  • Syntax

    double|decimal pow(<x>, <y>)
  • Description

    Calculates the yth power of x, namely, x^y.

  • Parameters

    • x: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    • y: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If x or y is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If x or y is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of x or y is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 65536.0. 
      select pow(2, 16);
      -- The return value is null. 
      select pow(2, null);
    • Example of table data

      Calculate the second power of values in a column based on the sample data. Sample statement:

      select pow(bigint_data, 2) as bigint_new, pow(double_data, 2) as double_new, pow(decimal_data, 2) as decimal_new, pow(string_data, 2) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+----------------------+----------------------+------------+
      | bigint_new | double_new           | decimal_new          | string_new |
      +------------+----------------------+----------------------+------------+
      | 100.0      | 0.275625             | 0.275625             | 100.0      |
      | NULL       | 0.010000000000000002 | 0.010000000000000002 | 100.0      |
      | 1.0        | NULL                 | 418.2025             | 900.0      |
      | 16.0       | 0.7921               | NULL                 | 900.0      |
      | 2500.0     | 1.0                  | 1.0                  | 2500.0     |
      | 36.0       | 2.25                 | 2.25                 | 2500.0     |
      | 4900.0     | 56.25                | 56.25                | NULL       |
      | 1.0        | 104.03999999999999   | 104.03999999999999   | 1.0        |
      | 8100.0     | 6.6564000000000005   | 6.6564000000000005   | 0.0        |
      | 100.0      | 33.64                | 33.64                | 8100.0     |
      +------------+----------------------+----------------------+------------+

RADIANS

  • Syntax

    double radians(<number>)
  • Description

    Converts a degree into a radian value. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

  • Return value

    A value of the DOUBLE type is returned. If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1.5707963267948966. 
      select radians(90);
      -- The return value is 0.0. 
      select radians(0);
      -- The return value is null. 
      select radians(null);
    • Example of table data

      Convert values in all columns into radian values based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select radians(int_data) as int_new, radians(bigint_data) as bigint_new, radians(double_data) as double_new, radians(decimal_data) as decimal_new, radians(float_data) as float_new, radians(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +-----------------------+-----------------------+------------------------+------------------------+------------------------+-----------------------+
      | int_new               | bigint_new            | double_new             | decimal_new            | float_new              | string_new            |
      +-----------------------+-----------------------+------------------------+------------------------+------------------------+-----------------------+
      | NULL                  | -0.17453292519943295  | 0.00916297857297023    | 0.00916297857297023    | 0.009162978156851308   | 0.17453292519943295   |
      | -0.3490658503988659   | NULL                  | -0.0017453292519943296 | -0.0017453292519943296 | -0.0017453292780017621 | -0.17453292519943295  |
      | 0.0                   | -0.017453292519943295 | NULL                   | 0.3569198320328404     | -0.017453292519943295  | 0.5235987755982988    |
      | -0.6981317007977318   | 0.06981317007977318   | 0.015533430342749534   | NULL                   | 0.015533430093078181   | -0.5235987755982988   |
      | 0.08726646259971647   | -0.8726646259971648   | -0.017453292519943295  | -0.017453292519943295  | NULL                   | 0.8726646259971648    |
      | -1.0471975511965976   | 0.10471975511965977   | 0.02617993877991494    | 0.02617993877991494    | 0.02617993877991494    | -0.8726646259971648   |
      | -0.017453292519943295 | -1.2217304763960306   | -0.1308996938995747    | -0.1308996938995747    | -0.1308996938995747    | NULL                  |
      | -1.3962634015954636   | 0.017453292519943295  | -0.17802358370342158   | -0.17802358370342158   | -0.17802358037447025   | -0.017453292519943295 |
      | 0.15707963267948966   | -1.5707963267948966   | 0.045029494701453704   | 0.045029494701453704   | 0.04502949336987316    | 0.0                   |
      | -1.7453292519943295   | 0.17453292519943295   | -0.10122909661567112   | -0.10122909661567112   | -0.10122909994462247   | -1.5707963267948966   |
      +-----------------------+-----------------------+------------------------+------------------------+------------------------+-----------------------+

RAND

  • Syntax

    double rand(bigint <seed>)
  • Description

    Returns a random number of the DOUBLE type. The value ranges from 0 to 1.

  • Parameters

    seed: optional. The value is of the BIGINT type. This parameter specifies the random seed that determines the starting point in generating random numbers.

    Note

    You can use seed to determine the random number sequence. After seed is determined, the return value of this function is fixed. If the execution environment is the same and the seed value remains unchanged, the return value is the same. If you need to return different results, you must modify the seed value.

  • Return value

    A value of the DOUBLE type is returned.

  • Examples

    -- The return value is 4.7147460303803655E-4. 
    select rand();
    -- The return value is 0.7308781907032909. 
    select rand(1);

ROUND

  • Syntax

    double|decimal round(<number>[, bigint <decimal_places>])
  • Description

    Returns a number rounded to the specified decimal place.

  • Parameters

    • number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    • decimal_places: optional. The value is a constant of the BIGINT type. This parameter specifies the decimal place to which the number is rounded. If this parameter is not specified, the number is rounded to the ones place. The default value is 0.

      Note

      The value of decimal_places can be negative. A negative value indicates counting from the decimal point to the left, and the decimal part is excluded. If decimal_places exceeds the length of the integer part, 0 is returned.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If decimal_places is not of the BIGINT type, an error is returned.

    • If the value of number or decimal_places is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 125.0. 
      select round(125.315);
      -- The return value is 125.3. 
      select round(125.315, 1);
      -- The return value is 125.32. 
      select round(125.315, 2);
      -- The return value is 125.315. 
      select round(125.315, 3);
      -- The return value is -125.32. 
      select round(-125.315, 2);
      -- The return value is 100.0. 
      select round(123.345, -2);
      -- The return value is null. 
      select round(null);
      -- The return value is 123.345. 
      select round(123.345, 4);
      -- The return value is 0.0. 
      select round(123.345, -4);
    • Example of table data

      Return numbers that are rounded to the specified decimal place in a column based on the sample data. Sample statement:

      select round(bigint_data, 1) as bigint_new, round(double_data, 2) as double_new, round(decimal_data, 1) as decimal_new, round(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+-------------+------------+
      | bigint_new | double_new | decimal_new | string_new |
      +------------+------------+-------------+------------+
      | -10.0      | 0.53       | 0.5         | 10.0       |
      | NULL       | -0.1       | -0.1        | -10.0      |
      | -1.0       | NULL       | 20.5        | 30.0       |
      | 4.0        | 0.89       | NULL        | -30.0      |
      | -50.0      | -1.0       | -1          | 50.0       |
      | 6.0        | 1.5        | 1.5         | -50.0      |
      | -70.0      | -7.5       | -7.5        | NULL       |
      | 1.0        | -10.2      | -10.2       | -1.0       |
      | -90.0      | 2.58       | 2.6         | 0.0        |
      | 10.0       | -5.8       | -5.8        | -90.0      |
      +------------+------------+-------------+------------+

SHIFTLEFT

  • Syntax

    int shiftleft(tinyint|smallint|int <number1>, int <number2>)
    bigint shiftleft(bigint <number1>, int <number2>)
  • Description

    Shifts a value left by a specific number of places (<<). This function is an additional function of MaxCompute V2.0.

  • Parameters

    • number1: required. The value is of the TINYINT, SMALLINT, INT, or BIGINT type.

    • number2: required. The value is of the INT type.

  • Return value

    A value of the INT or BIGINT type is returned. The return value varies based on the following rules:

    • If the value of number1 is not of the TINYINT, SMALLINT, INT, or BIGINT type, an error is returned.

    • If the value of number2 is not of the INT type, an error is returned.

    • If the value of number1 or number2 is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 4. The following statement shifts the binary value of 1 two places to the left (1<<2,0001 shifted to be 0100). 
      select shiftleft(1,2); 
      -- The return value is 32. The following statement shifts the binary value of 4 three places to the left (4<<3,0100 shifted to be 100000). 
      select shiftleft(4,3);
      -- The return value is null. 
      select shiftleft(null,2);
    • Example of table data

      Shift numbers in the int_data and bigint_data columns left by a specific number of places based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select shiftleft(int_data, 1) as int_new, shiftleft(bigint_data, 1) as bigint_new from mf_math_fun_t;

      The following result is returned:

      +---------+------------+
      | int_new | bigint_new |
      +---------+------------+
      | NULL    | -20        |
      | -40     | NULL       |
      | 0       | -2         |
      | -80     | 8          |
      | 10      | -100       |
      | -120    | 12         |
      | -2      | -140       |
      | -160    | 2          |
      | 18      | -180       |
      | -200    | 20         |
      +---------+------------+

SHIFTRIGHT

  • Syntax

    int shiftright(tinyint|smallint|int <number1>, int <number2>)
    bigint shiftright(bigint <number1>, int <number2>)
  • Description

    Shifts a value right by a specific number of places (>>). This function is an additional function of MaxCompute V2.0.

  • Parameters

    • number1: required. The value is of the TINYINT, SMALLINT, INT, or BIGINT type.

    • number2: required. The value is of the INT type.

  • Return value

    A value of the INT or BIGINT type is returned. The return value varies based on the following rules:

    • If the value of number1 is not of the TINYINT, SMALLINT, INT, or BIGINT type, an error is returned.

    • If the value of number2 is not of the INT type, an error is returned.

    • If the value of number1 or number2 is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1. The following statement shifts the binary value of 4 two places to the right (4>>2,0100 shifted to be 0001). 
      select shiftright(4,2);
      -- The return value is 4. The following statement shifts the binary value of 32 three places to the right (32>>3,100000 shifted to be 0100). 
      select shiftright(32,3);
      -- The return value is null. 
      select shiftright(null,3);
    • Example of table data

      Shift numbers in the int_data and bigint_data columns right by a specific number of places based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select shiftright(int_data, 1) as int_new, shiftright(bigint_data, 1) as bigint_new from mf_math_fun_t;

      The following result is returned:

      +---------+------------+
      | int_new | bigint_new |
      +---------+------------+
      | NULL    | -5         |
      | -10     | NULL       |
      | 0       | -1         |
      | -20     | 2          |
      | 2       | -25        |
      | -30     | 3          |
      | -1      | -35        |
      | -40     | 0          |
      | 4       | -45        |
      | -50     | 5          |
      +---------+------------+

SHIFTRIGHTUNSIGNED

  • Syntax

    int shiftrightunsigned(tinyint|smallint|int <number1>, int <number2>)
    bigint shiftrightunsigned(bigint <number1>, int <number2>)
  • Description

    Shifts an unsigned value right by a specific number of places (>>>). This function is an additional function of MaxCompute V2.0.

  • Parameters

    • number1: required. The value is an integer of the TINYINT, SMALLINT, INT, or BIGINT type.

    • number2: required. The value is an integer of the INT type.

  • Return value

    A value of the INT or BIGINT type is returned. The return value varies based on the following rules:

    • If the value of number1 is not of the TINYINT, SMALLINT, INT, or BIGINT type, an error is returned.

    • If the value of number2 is not of the INT type, an error is returned.

    • If the value of number1 or number2 is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2. The following statement shifts the binary unsigned value of 8 two places to the right (8>>>2,1000 shifted to be 0010). 
      select shiftrightunsigned(8,2);
      -- The return value is 1073741820. The following statement shifts the binary value of -14 two places to the right (-14>>>2, 11111111 11111111 11111111 11110010 shifted to be 00111111 11111111 11111111 11111100). 
      select shiftrightunsigned(-14,2);
      -- The return value is null. 
      select shiftrightunsigned(-14,null);
    • Example of table data

      Shift unsigned values in the int_data and bigint_data columns right by a specific number of places based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select shiftrightunsigned(int_data, 1) as int_new, shiftrightunsigned(bigint_data, 1) as bigint_new from mf_math_fun_t;

      The following result is returned:

      +------------+---------------------+
      | int_new    | bigint_new          |
      +------------+---------------------+
      | NULL       | 9223372036854775803 |
      | 2147483638 | NULL                |
      | 0          | 9223372036854775807 |
      | 2147483628 | 2                   |
      | 2          | 9223372036854775783 |
      | 2147483618 | 3                   |
      | 2147483647 | 9223372036854775773 |
      | 2147483608 | 0                   |
      | 4          | 9223372036854775763 |
      | 2147483598 | 5                   |
      +------------+---------------------+

SIGN

  • Syntax

    double sign(<number>)
  • Description

    Returns the sign of the input value. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. A value of the DOUBLE, BIGINT, INT, SMALLINT, TINYINT, FLOAT, DECIMAL, or STRING type.

  • Return value

    A value of the DOUBLE type is returned. The return value varies based on the following rules:

    • If the value of number is a positive value, 1.0 is returned.

    • If the value of number is a negative value, -1.0 is returned.

    • If the value of number is 0, 0.0 is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is -1.0. 
      select sign(-2.5);
      -- The return value is 1.0. 
      select sign(2.5);
      -- The return value is 0.0. 
      select sign(0);
      -- The return value is null. 
      select sign(null);
    • Example of table data

      Obtain the signs of numbers in all columns based on the sample data. Sample statement:

      -- Enable the MaxCompute V2.0 data type edition. Commit this command along with the SQL statement. 
      set odps.sql.type.system.odps2=true;
      select sign(int_data) as int_new, sign(bigint_data) as bigint_new, sign(double_data) as double_new, sign(decimal_data) as decimal_new, sign(float_data) as float_new, sign(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+------------+------------+-------------+------------+------------+
      | int_new    | bigint_new | double_new | decimal_new | float_new  | string_new |
      +------------+------------+------------+-------------+------------+------------+
      | NULL       | -1.0       | 1.0        | 1           | 1.0        | 1.0        |
      | -1.0       | NULL       | -1.0       | -1          | -1.0       | -1.0       |
      | 0.0        | -1.0       | NULL       | 1           | -1.0       | 1.0        |
      | -1.0       | 1.0        | 1.0        | NULL        | 1.0        | -1.0       |
      | 1.0        | -1.0       | -1.0       | -1          | NULL       | 1.0        |
      | -1.0       | 1.0        | 1.0        | 1           | 1.0        | -1.0       |
      | -1.0       | -1.0       | -1.0       | -1          | -1.0       | NULL       |
      | -1.0       | 1.0        | -1.0       | -1          | -1.0       | -1.0       |
      | 1.0        | -1.0       | 1.0        | 1           | 1.0        | 0.0        |
      | -1.0       | 1.0        | -1.0       | -1          | -1.0       | -1.0       |
      +------------+------------+------------+-------------+------------+------------+

SIN

  • Syntax

    double|decimal sin(<number>)
  • Description

    Calculates the sine of number, which is a radian value.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is -0.3048106211022167. 
      select sin(60);
      -- The return value is null. 
      select sin(null);
    • Example of table data

      Calculate the sine of values in a column based on the sample data. Sample statement:

      select sin(bigint_data) as bigint_new, sin(double_data) as double_new, sin(decimal_data) as decimal_new, sin(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +----------------------+----------------------+----------------------+----------------------+
      | bigint_new           | double_new           | decimal_new          | string_new           |
      +----------------------+----------------------+----------------------+----------------------+
      | 0.5440211108893698   | 0.5012130046737979   | 0.5012130046737979   | -0.5440211108893698  |
      | NULL                 | -0.09983341664682815 | -0.09983341664682815 | 0.5440211108893698   |
      | -0.8414709848078965  | NULL                 | 0.9995605376022045   | -0.9880316240928618  |
      | -0.7568024953079282  | 0.7770717475268238   | NULL                 | 0.9880316240928618   |
      | 0.26237485370392877  | -0.8414709848078965  | -0.8414709848078965  | -0.26237485370392877 |
      | -0.27941549819892586 | 0.9974949866040544   | 0.9974949866040544   | 0.26237485370392877  |
      | -0.7738906815578891  | -0.9379999767747389  | -0.9379999767747389  | NULL                 |
      | 0.8414709848078965   | 0.6998746875935423   | 0.6998746875935423   | -0.8414709848078965  |
      | -0.8939966636005579  | 0.5325349075556212   | 0.5325349075556212   | 0.0                  |
      | -0.5440211108893698  | 0.46460217941375737  | 0.46460217941375737  | -0.8939966636005579  |
      +----------------------+----------------------+----------------------+----------------------+

SINH

  • Syntax

    double|decimal sinh(<number>)
  • Description

    Calculates the hyperbolic sine of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 5.343237290762231E12. 
      select sinh(30);
      -- The return value is null. 
      select sinh(null);
    • Example of table data

      Calculate the hyperbolic sine of values in a column based on the sample data. Sample statement:

      select sinh(bigint_data) as bigint_new, sinh(double_data) as double_new, sinh(decimal_data) as decimal_new, sinh(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------------------+----------------------+----------------------+-----------------------+
      | bigint_new             | double_new           | decimal_new          | string_new            |
      +------------------------+----------------------+----------------------+-----------------------+
      | -11013.232874703393    | 0.5494517420061382   | 0.5494517420061382   | 11013.232874703393    |
      | NULL                   | -0.10016675001984403 | -0.10016675001984403 | -11013.232874703393   |
      | -1.1752011936438014    | NULL                 | 380445243.96844625   | 5343237290762.231     |
      | 27.28991719712775      | 1.0122369492687646   | NULL                 | -5343237290762.231    |
      | -2.592352764293536e21  | -1.1752011936438014  | -1.1752011936438014  | 2.592352764293536e21  |
      | 201.71315737027922     | 2.1292794550948173   | 2.1292794550948173   | -2.592352764293536e21 |
      | -1.2577193354595834e30 | -904.0209306858466   | -904.0209306858466   | NULL                  |
      | 1.1752011936438014     | -13451.593018563612  | -13451.593018563612  | -1.1752011936438014   |
      | -6.102016471589204e38  | 6.560682077817757    | 6.560682077817757    | 0.0                   |
      | 11013.232874703393     | -165.1482661774516   | -165.1482661774516   | -6.102016471589204e38 |
      +------------------------+----------------------+----------------------+-----------------------+

SQRT

  • Syntax

    double|decimal sqrt(<number>)
  • Description

    Calculates the square root of number.

  • Parameters

    number: required. The value is of the DOUBLE or DECIMAL type. The value must be greater than 0. If the value is less than 0, null is returned. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 2.0. 
      select sqrt(4);
      -- The return value is null. 
      select sqrt(null);
    • Example of table data

      Calculate the square root of values in a column based on the sample data. Sample statement:

      select sqrt(bigint_data) as bigint_new, sqrt(double_data) as double_new, sqrt(decimal_data) as decimal_new, sqrt(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +--------------------+--------------------+-------------------+--------------------+
      | bigint_new         | double_new         | decimal_new       | string_new         |
      +--------------------+--------------------+-------------------+--------------------+
      | NULL               | 0.724568837309472  | 0.724568837309472 | 3.1622776601683795 |
      | NULL               | NULL               | NULL              | NULL               |
      | NULL               | NULL               | 4.522167621838006 | 5.477225575051661  |
      | 2.0                | 0.9433981132056604 | NULL              | NULL               |
      | NULL               | NULL               | NULL              | 7.0710678118654755 |
      | 2.449489742783178  | 1.224744871391589  | 1.224744871391589 | NULL               |
      | NULL               | NULL               | NULL              | NULL               |
      | 1.0                | NULL               | NULL              | NULL               |
      | NULL               | 1.606237840420901  | 1.606237840420901 | 0.0                |
      | 3.1622776601683795 | NULL               | NULL              | NULL               |
      +--------------------+--------------------+-------------------+--------------------+

TAN

  • Syntax

    double|decimal tan(<number>)
  • Description

    Calculates the tangent of number, which is a radian value.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is -6.405331196646276. 
      select tan(30);
      -- The return value is null. 
      select tan(null);
    • Example of table data

      Calculate the tangent of values in a column based on the sample data. Sample statement:

      select tan(bigint_data) as bigint_new, tan(double_data) as double_new, tan(decimal_data) as decimal_new, tan(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +----------------------+----------------------+----------------------+----------------------+
      | bigint_new           | double_new           | decimal_new          | string_new           |
      +----------------------+----------------------+----------------------+----------------------+
      | -0.6483608274590866  | 0.5792200822893652   | 0.5792200822893652   | 0.6483608274590866   |
      | NULL                 | -0.10033467208545055 | -0.10033467208545055 | -0.6483608274590866  |
      | -1.5574077246549023  | NULL                 | -33.71948732190433   | -6.405331196646276   |
      | 1.1578212823495775   | 1.2345994590490046   | NULL                 | 6.405331196646276    |
      | 0.27190061199763077  | -1.5574077246549023  | -1.5574077246549023  | -0.27190061199763077 |
      | -0.29100619138474915 | 14.101419947171719   | 14.101419947171719   | 0.27190061199763077  |
      | -1.2219599181369434  | -2.706013866772691   | -2.706013866772691   | NULL                 |
      | 1.5574077246549023   | -0.979852083895097   | -0.979852083895097   | -1.5574077246549023  |
      | 1.995200412208242    | -0.6291704256385503  | -0.6291704256385503  | 0.0                  |
      | 0.6483608274590866   | 0.5246662219468002   | 0.5246662219468002   | 1.995200412208242    |
      +----------------------+----------------------+----------------------+----------------------+

TANH

  • Syntax

    double|decimal tanh(<number>)
  • Description

    Calculates the hyperbolic tangent of number.

  • Parameters

    number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If the value of number is null, null is returned.

  • Examples

    • Examples of static data

      -- The return value is 1.0. 
      select tanh(30);
      -- The return value is null. 
      select tanh(null);
    • Example of table data

      Calculate the hyperbolic tangent of values in a column based on the sample data. Sample statement:

      select tanh(bigint_data) as bigint_new, tanh(double_data) as double_new, tanh(decimal_data) as decimal_new, tanh(string_data) as string_new from mf_math_fun_t;

      The following result is returned:

      +---------------------+----------------------+----------------------+---------------------+
      | bigint_new          | double_new           | decimal_new          | string_new          |
      +---------------------+----------------------+----------------------+---------------------+
      | -0.9999999958776927 | 0.48154979836430806  | 0.48154979836430806  | 0.9999999958776927  |
      | NULL                | -0.09966799462495582 | -0.09966799462495582 | -0.9999999958776927 |
      | -0.7615941559557649 | NULL                 | 1.0                  | 1.0                 |
      | 0.999329299739067   | 0.7113937318189625   | NULL                 | -1.0                |
      | -1.0                | -0.7615941559557649  | -0.7615941559557649  | 1.0                 |
      | 0.9999877116507956  | 0.9051482536448664   | 0.9051482536448664   | -1.0                |
      | -1.0                | -0.9999993881955461  | -0.9999993881955461  | NULL                |
      | 0.7615941559557649  | -0.9999999972367348  | -0.9999999972367348  | -0.7615941559557649 |
      | -1.0                | 0.9885821584459533   | 0.9885821584459533   | 0.0                 |
      | 0.9999999958776927  | -0.9999816679925603  | -0.9999816679925603  | -1.0                |
      +---------------------+----------------------+----------------------+---------------------+

TRUNC

  • Syntax

    double|decimal trunc(<number>[, bigint <decimal_places>])
  • Description

    Truncates the input value of number to the specified decimal place.

    Note

    If the Hive-compatible data type edition is used, this function is not a mathematical function. It is used to convert a date value. For more information about the related date function, see DATETRUNC. You must configure the data type edition of your MaxCompute project based on your business requirements. For more information about data type editions, see Data type editions.

  • Parameters

    • number: required. A value of the DOUBLE or DECIMAL type. If the input value is of the STRING or BIGINT type, the value is implicitly converted into a value of the DOUBLE type before calculation.

    • decimal_places: optional. The value is a constant of the BIGINT type. This parameter specifies the position where the number is truncated. If this parameter is not specified, the number is truncated to the ones place. decimal_places can be a negative value, which indicates that the number is truncated from the decimal point to the left and the decimal part is left out. If decimal_places exceeds the length of the integer part, 0 is returned.

  • Return value

    A value of the DOUBLE or DECIMAL type is returned. The return value varies based on the following rules:

    • If the value of number is of the DOUBLE or DECIMAL type, a value of the same type is returned.

    • If the value of number is of the STRING or BIGINT type, a value of the DOUBLE type is returned.

    • If decimal_places is not of the BIGINT type, an error is returned.

    • If the value of number or decimal_places is null, null is returned.

    Note
    • If a value of the DOUBLE type is returned, the return value may not be displayed properly. This issue exists in all systems. For more information, see trunc(125.815,1) in this example.

    • The number is filled with zeros from the specified position.

  • Examples

    • Examples of static data

      -- The return value is 125.0. 
      select trunc(125.815,0);
      -- The return value is 125.80000000000001. 
      select trunc(125.815,1);
      -- The return value is 125.81. 
      select trunc(125.815,2);
      -- The return value is 125.815. 
      select trunc(125.815,3);
      -- The return value is -125.81. 
      select trunc(-125.815,2);
      -- The return value is 120.0. 
      select trunc(125.815,-1);
      -- The return value is 100.0. 
      select trunc(125.815,-2);
      -- The return value is 0.0. 
      select trunc(125.815,-3);
      -- The return value is 123.345. 
      select trunc(123.345,4);
      -- The return value is 0.0. 
      select trunc(123.345,-4);
      -- The return value is null. 
      select trunc(123.345,null);
    • Example of table data

      Truncate numbers in a column to the specified decimal place based on the sample data. Sample statement:

      select trunc(bigint_data, 1) as bigint_new, trunc(double_data,1) as double_new, trunc(decimal_data, 1) as decimal_new, trunc(string_data, 1) as string_new from mf_math_fun_t;

      The following result is returned:

      +------------+---------------------+-------------+------------+
      | bigint_new | double_new          | decimal_new | string_new |
      +------------+---------------------+-------------+------------+
      | -10.0      | 0.5                 | 0.5         | 10.0       |
      | NULL       | -0.1                | -0.1        | -10.0      |
      | -1.0       | NULL                | 20.4        | 30.0       |
      | 4.0        | 0.8                 | NULL        | -30.0      |
      | -50.0      | -1.0                | -1          | 50.0       |
      | 6.0        | 1.5                 | 1.5         | -50.0      |
      | -70.0      | -7.5                | -7.5        | NULL       |
      | 1.0        | -10.200000000000001 | -10.2       | -1.0       |
      | -90.0      | 2.5                 | 2.5         | 0.0        |
      | 10.0       | -5.800000000000001  | -5.8        | -90.0      |
      +------------+---------------------+-------------+------------+

UNHEX

  • Syntax

    binary unhex(string <number>)
  • Description

    Converts a hexadecimal string into a string. This function is an additional function of MaxCompute V2.0.

  • Parameters

    number: required. The value is a hexadecimal string.

  • Return value

    A value of the BINARY type is returned. The return value varies based on the following rules:

    • If the value of number is 0, an error is returned.

    • If the value of number is null, null is returned.

  • Examples

    -- The return value is abc. 
    select unhex('616263');
    -- The return value is abc. 
    select unhex(616263);
    -- The return value is null. 
    select unhex(null);

WIDTH_BUCKET

  • Syntax

    width_bucket(numeric <expr>, numeric <min_value>, numeric <max_value>, int <num_buckets>)
  • Description

    Specifies the number of buckets and the minimum and maximum values of the acceptable range for a bucket. It allows you to construct equi-width buckets, in which the bucket range is divided into intervals that have an identical size. It returns the ID of the bucket into which the value of a specific expression falls. This function supports the following data types: DECIMAL(precision,scale) in the MaxCompute V2.0 data type edition, BIGINT, INT, FLOAT, DOUBLE, and DECIMAL. For more information, see MaxCompute V2.0 data type edition. This function is an additional function of MaxCompute V2.0.

  • Parameters

    • expr: required. This parameter specifies the expression for which you want to identify the matching bucket ID.

    • min_value: required. This parameter specifies the minimum value of the acceptable range for the bucket.

    • max_value: required. This parameter specifies the maximum value of the acceptable range for the bucket. The value must be greater than min_value.

    • num_buckets: required. This parameter specifies the number of buckets. The value must be greater than 0.

  • Return value

    A value of the BIGINT type is returned. The value ranges from 0 to num_buckets plus 1. The return value varies based on the following rules:

    • If the value of expr is less than that of min_value, 0 is returned.

    • If the value of expr is greater than that of max_value, the value of num_buckets plus 1 is returned.

    • If the value of expr is null, null is returned. In other cases, the ID of the bucket into which the value falls is returned. The bucket ID is named based on the following formula: Bucket ID = floor(num_buckets × (expr - min_value)/(max_value - min_value) + 1).

    • If the value of min_value, max_value, or num_buckets is null, null is returned.

  • Examples

    • Example 1: The values of all input parameters are not null. The following commands provide an example:

      select key,value,width_bucket(value,100,500,5) as value_group
      from values 
          (1,99),
          (2,100),
          (3,199),
          (4,200),
          (5,499),
          (6,500),
          (7,501),
          (8,NULL)
      as t(key,value);

      The following result is returned:

      +-------+--------+-------------+
      | key   | value  | value_group |
      +-------+--------+-------------+
      | 1     | 99     | 0           |
      | 2     | 100    | 1           |
      | 3     | 199    | 2           |
      | 4     | 200    | 2           |
      | 5     | 499    | 5           |
      | 6     | 500    | 6           |
      | 7     | 501    | 6           |
      | 8     | NULL   | NULL        |
      +-------+--------+-------------+
    • Example 2: The value of an input parameter is null. The following commands provide an example:

      select key,value,width_bucket(value,100,500,null) as value_group
      from values
          (1,99),
          (2,100),
          (3,199),
          (4,200),
          (5,499),
          (6,500),
          (7,501),
          (8,NULL)
      as t(key,value);

      The following result is returned:

      +------+-------+-------------+
      | key  | value | value_group |
      +------+-------+-------------+
      | 1    | 99    | NULL        |
      | 2    | 100   | NULL        |
      | 3    | 199   | NULL        |
      | 4    | 200   | NULL        |
      | 5    | 499   | NULL        |
      | 6    | 500   | NULL        |
      | 7    | 501   | NULL        |
      | 8    | NULL  | NULL        |
      +------+-------+-------------+

References