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          Mathematical Function

          Palo supports the following mathematical functions:

          1.sin
          2.asin
          3.tan
          4.atan
          5.cos
          6.acos
          7.abs
          8.bin
          9.ceil
          10.floor
          11.conv
          12.degrees
          13.e
          14.exp
          15.mod
          16.fmod
          17.pmod
          18.greatest
          19.least
          20.hex
          21.unhex
          22.ln
          23.dlog1
          24.log
          25.negative
          26.positive
          27.pi
          28.pow
          29.radians
          30.rand
          31.round
          32.sign
          33.sqrt
          34.truncate

          SIN

          Description

          sin(double a)
          • Function: return the sine value of a
          • Return type: double type

          Example

          mysql> select sin(1), sin(0.5 * pi());
          +--------------------+-----------------+
          | sin(1.0)           | sin(0.5 * pi()) |
          +--------------------+-----------------+
          | 0.8414709848078965 |               1 |
          +--------------------+-----------------+

          Keywords

          sin

          ASIN

          Description

          asin(double a)
          • Function: arc-sin function, a must be between -1 and 1.
          • Return type: double type

          Example

          mysql> select asin(0.8414709848078965), asin(2);
          +--------------------------+-----------+
          | asin(0.8414709848078965) | asin(2.0) |
          +--------------------------+-----------+
          |                        1 |       nan |
          +--------------------------+-----------+

          Keywords

          asin

          TAN

          Description

          tan(double a)
          • Function: arctangent value function
          • Return type: double type

          Example

          mysql> select tan(pi()/4);
          +---------------------+
          | tan(pi() / 4.0)     |
          +---------------------+
          | 0.99999999999999989 |
          +---------------------+

          Keywords

          tan

          ATAN

          Description

          atan(double a)
          • Function: arctangent value function
          • Return type: double type

          Example

          mysql> SELECT ATAN(1.5574077246549023),ATAN(0);
          +--------------------------+---------+
          | ATAN(1.5574077246549023) | ATAN(0) |
          +--------------------------+---------+
          |                        1 |       0 |
          +--------------------------+---------+

          Keywords

          atan

          COS

          Description

          cos(double a)
          • Function: return the cosine value of parameters
          • Return type: double type

          Example

          mysql> select cos(1), cos(0), cos(pi());
          +---------------------+----------+-----------+
          | cos(1.0)            | cos(0.0) | cos(pi()) |
          +---------------------+----------+-----------+
          | 0.54030230586813977 |        1 |        -1 |
          +---------------------+----------+-----------+

          Keywords

          cos

          ACOS

          Description

          acos(double a)
          • Function: arc-cosine function, a must be between -1 and 1.
          • Return type: double type

          Example

          mysql> select acos(2), acos(1), acos(-1);
          +-----------+-----------+--------------------+
          | acos(2.0) | acos(1.0) | acos(-1.0)         |
          +-----------+-----------+--------------------+
          |       nan |         0 | 3.1415926535897931 |
          +-----------+-----------+--------------------+

          Keywords

          acos

          ABS

          Description

          abs(numeric a)
          • Function: return the absolute value of the parameter
          • Return type: numeric type

          Example

          mysql> select abs(-1.2);
          +-----------+
          | abs(-1.2) |
          +-----------+
          |       1.2 |
          +-----------+
          
          mysql> select abs(-10);
          +----------+
          | abs(-10) |
          +----------+
          |       10 |
          +----------+

          Keywords

          abs

          BIN

          Description

          bin(bigint a)
          • Function: return the binary representation of an integer (that is, a sequence of zeros and ones)
          • Return type: string type

          Example

          mysql> select bin(10);
          +---------+
          | bin(10) |
          +---------+
          | 1010    |
          +---------+

          Keywords

          bin

          CEIL,CEILING,DCEIL

          Description

          ceil(double a)
          ceiling(double a)
          dceil(double a)
          • Function: return the smallest integer greater than or equal to the parameter
          • Return type: int type

          Example

          mysql> select dceil(1.2), ceiling(1.2), ceil(1.2);
          +------------+--------------+-----------+
          | dceil(1.2) | ceiling(1.2) | ceil(1.2) |
          +------------+--------------+-----------+
          |          2 |            2 |         2 |
          +------------+--------------+-----------+

          Keywords

          dceil, ceiling, ceil

          FLOOR

          Description

          floor(double a)
          dfloor(double a)
          • Function: return the max integer less than or equal to this parameter
          • Return type: int type

          Example

          mysql> select floor(2.9);
          +------------+
          | floor(2.9) |
          +------------+
          |          2 |
          +------------+
          
          mysql> select dfloor(2.9);
          +-------------+
          | dfloor(2.9) |
          +-------------+
          |           2 |
          +-------------+

          Keywords

          floor, dfloor

          CONV

          Description

          conv(bigint num, int from_base, int to_base)
          conv(string num,int from_base, int to_base)
          • Function: it is a function for converting number systems, which returns the string form of an integer in a specific number system. The input parameters can be integer strings. To convert the return value of a function into an integer, CAST function can be used.
          • Return type: string type

          Example

          mysql> select conv(64,10,8);
          +-----------------+
          | conv(64, 10, 8) |
          +-----------------+
          | 100             |
          +-----------------+
          
          mysql> select cast(conv('fe', 16, 10) as int) as "transform_string_to_int";
          +-------------------------+
          | transform_string_to_int |
          +-------------------------+
          |                     254 |
          +-------------------------+

          Keywords

          conv

          DEGREES

          Description

          degrees(double a)
          • Function: convert radians into angles
          • Return type: double type

          Example

          mysql> select degrees(pi());
          +---------------+
          | degrees(pi()) |
          +---------------+
          |           180 |
          +---------------+

          Keywords

          degrees

          E

          Description

          e()
          • Function: return the mathematical constant e
          • Return type: double type

          Example

          mysql> select e();
          +--------------------+
          | e()                |
          +--------------------+
          | 2.7182818284590451 |
          +--------------------+

          Keywords

          e

          EXP,DEXP

          Description

          exp(double a)
          dexp(double a)
          • Function: return the a power of e
          • Return type: double type

          Example

          mysql> select exp(2);
          +------------------+
          | exp(2.0)         |
          +------------------+
          | 7.38905609893065 |
          +------------------+
          
          mysql> select dexp(2);
          +------------------+
          | dexp(2.0)        |
          +------------------+
          | 7.38905609893065 |
          +------------------+

          Keywords

          exp, dexp

          MOD

          Description

          mod(numeric_type a, same_type b)
          • Function: return the remainder of a divided by b, equivalent to % arithmetic operator.
          • Return type: same with the input type

          Example

          mysql> select mod(10,3);
          +------------+
          | mod(10, 3) |
          +------------+
          |          1 |
          +------------+
          
          mysql> select mod(5.5,2);
          +-------------+
          | mod(5.5, 2) |
          +-------------+
          |         1.5 |
          +-------------+

          Keywords

          mod

          FMOD

          Description

          fmod(double a, double b)
          fmod(float a, float b)
          • Function: return the remainder of a divided by b, which is equivalent to % arithmetic operator
          • Return type: float or double type

          Example

          mysql> select fmod(10,3);
          +-----------------+
          | fmod(10.0, 3.0) |
          +-----------------+
          |               1 |
          +-----------------+
          
          mysql> select fmod(5.5,2);
          +----------------+
          | fmod(5.5, 2.0) |
          +----------------+
          |            1.5 |
          +----------------+

          Keywords

          fmod

          PMOD

          Description

          pmod(int a, int b)
          pmod(double a, double b)
          • Function: positive complementary function
          • Return type: int type or double type (depending on input parameters)

          Example

          mysql> select pmod(3, 2), pmod(1.1, 2);
          +------------+------------+
          | pmod(3, 2) | pmod(1, 2) |
          +------------+------------+
          |          1 |          1 |
          +------------+------------+

          Keywords

          pmod

          GREATEST

          Description

          greatest(bigint a[, bigint b ...])
          greatest(double a[, double b ...])
          greatest(decimal(p,s) a[, decimal(p,s) b ...])
          greatest(string a[, string b ...])
          greatest(timestamp a[, timestamp b ...])
          • Function: return the maximum value in the list
          • Return type: same with the parameter type

          Example

          mysql> select greatest(1,2,3);
          +-------------------+
          | greatest(1, 2, 3) |
          +-------------------+
          |                 3 |
          +-------------------+
          
          mysql> select greatest("a", "b", "c");
          +-------------------------+
          | greatest('a', 'b', 'c') |
          +-------------------------+
          | c                       |
          +-------------------------+

          Keywords

          greatest

          LEAST

          Description

          least(bigint a[, bigint b ...])
          least(double a[, double b ...])
          least(decimal(p,s) a[, decimal(p,s) b ...])
          least(string a[, string b ...])
          least(timestamp a[, timestamp b ...])
          • Function: return the minimum value in the list
          • Return type: same with the parameter type

          Example

          mysql>  select least(1,2,3);
          +----------------+
          | least(1, 2, 3) |
          +----------------+
          |              1 |
          +----------------+
          
          mysql>  select least("a", "b", "c");
          +----------------------+
          | least('a', 'b', 'c') |
          +----------------------+
          | a                    |
          +----------------------+

          Keywords

          least

          HEX

          Description

          hex(bigint a)
          hex(string a)
          • Function: return the hexadecimal representation of an integer or each character in a string.
          • Return type: string type

          Example

          mysql> select hex('abc');
          +------------+
          | hex('abc') |
          +------------+
          | 616263     |
          +------------+
          
          mysql> select unhex(616263);
          +---------------+
          | unhex(616263) |
          +---------------+
          | abc           |
          +---------------+

          Keywords

          hex

          UNHEX

          Description

          unhex(string a)
          • Function: convert a string in hexadecimal format to its original format
          • Return type: string type

          Example

          mysql> select hex('abc');
          +------------+
          | hex('abc') |
          +------------+
          | 616263     |
          +------------+
          
          mysql> select unhex(616263);
          +---------------+
          | unhex(616263) |
          +---------------+
          | abc           |
          +---------------+

          Keywords

          unhex

          LN

          Description

          ln(double a)
          • Function: return the natural logarithm of 2
          • Return type: double type

          Example

          mysql> select ln(2);
          +---------------------+
          | ln(2.0)             |
          +---------------------+
          | 0.69314718055994529 |
          +---------------------+

          Keywords

          ln

          DLOG1

          Description

          dlog1(double a)
          • Function: return the natural logarithmic form of the parameter
          • Return type: double type

          Example

          mysql> select dlog1(2);
          +---------------------+
          | dlog1(2.0)          |
          +---------------------+
          | 0.69314718055994529 |
          +---------------------+

          Keywords

          dlog1

          LOG,LOG10,DLOG10,LOG2

          Description

          log(double base, double a)
          • Function: return the logarithmic value of log with base as base number and a as exponent.
          • Return type: double type
          log10(double a)
          dlog10(double a)
          • Function: return the logarithmic value of log with 10 as base number and a as exponent.
          • Return type: double type
          log2(double a)
          • Function: return the logarithmic value of log with 2 as base number and a as exponent.
          • Return type: double type

          Example

          mysql> select log(2, 65536);
          +-------------------+
          | log(2.0, 65536.0) |
          +-------------------+
          |                16 |
          +-------------------+
          
          mysql> select log10(2);
          +--------------------+
          | log10(2.0)         |
          +--------------------+
          | 0.3010299956639812 |
          +--------------------+
          
          mysql> select dlog10(2);
          +--------------------+
          | dlog10(2.0)        |
          +--------------------+
          | 0.3010299956639812 |
          +--------------------+
          
          mysql> select log2(2);
          +-----------+
          | log2(2.0) |
          +-----------+
          |         1 |
          +-----------+

          Keywords

          log, log10, dlog, log2

          NEGATIVE

          Description

          negative(int a)
          negative(double a)
          • Function: take the negative sign bit of parameter a, and return a positive value if the parameter is negative value
          • Return type: return the int type or double type according to the input parameter type
          • Instructions for use: if you need to ensure that all return values are negative, you can use -abs(a) function.

          Example

          mysql> select negative(1.0);
          +---------------+
          | negative(1.0) |
          +---------------+
          |            -1 |
          +---------------+
          1 row in set (0.02 sec)
          
          mysql> select negative(-1);
          +--------------+
          | negative(-1) |
          +--------------+
          |            1 |
          +--------------+

          Keywords

          negative

          POSITIVE

          Description

          positive(int a)
          • Function: return the original value of parameters, even if the parameter is negative.
          • Return type: int type
          • Instructions for use: If you need to ensure that all return values are positive, you can use theabs() function.

          Example

          mysql> select positive(-1), positive(1);
          +--------------+-------------+
          | positive(-1) | positive(1) |
          +--------------+-------------+
          |           -1 |           1 |
          +--------------+-------------+

          Keywords

          positive

          PI

          Description

          pi()
          • Function: return the constant Pi
          • Return type: double type

          Example

          mysql> select pi();
          +--------------------+
          | pi()               |
          +--------------------+
          | 3.1415926535897931 |
          +--------------------+

          Keywords

          pi

          POW,POWER,DPOW,FPOW

          Description

          pow(double a, double p)
          power(double a, double p)
          dpow(double a, double p)
          fpow(double a, double p)
          • Function: return the p power of a
          • Return type: double type

          Example

          mysql> select pow(2, 10), power(2, 10), dpow(2, 10), fpow(2, 10);
          +----------------+------------------+-----------------+-----------------+
          | pow(2.0, 10.0) | power(2.0, 10.0) | dpow(2.0, 10.0) | fpow(2.0, 10.0) |
          +----------------+------------------+-----------------+-----------------+
          |           1024 |             1024 |            1024 |            1024 |
          +----------------+------------------+-----------------+-----------------+

          Keywords

          POW, POWER, DPOW, FPOW

          RADIANS

          Description

          radians(double a)
          • Function: convert radians into angles
          • Return type: double type

          Example

          mysql> select radians(90);
          +--------------------+
          | radians(90.0)      |
          +--------------------+
          | 1.5707963267948966 |
          +--------------------+

          Keywords

          radians

          RAND,RANDOM

          Description

          rand()
          random()
          • Function: return a random value from 0 to 1.
          • Return type: double

          Example

          mysql> select rand(), rand(), random();
          +---------------------+---------------------+---------------------+
          | rand()              | rand()              | random()            |
          +---------------------+---------------------+---------------------+
          | 0.39794450929180808 | 0.34321919244300736 | 0.38788449829415106 |
          +---------------------+---------------------+---------------------+

          Keywords

          rand, random

          ROUND

          Description

          round(double a)
          round(double a, int d)
          • Function: it is a function for rounding. If it contains only one parameter, the function returns the nearest integer to the value. If it contains 2 parameters, the second parameter is the number of digits retained after the decimal point.
          • Return type: if the parameter is floating point type, then the function will return bigint. If the second parameter is greater than 1, then the function will return double type.

          Example

          mysql> select round(100.456, 2);
          +-------------------+
          | round(100.456, 2) |
          +-------------------+
          |            100.46 |
          +-------------------+

          Keywords

          round

          SIGN

          Description

          sign(double a)
          • Function: If a is an integer or 0, it will return 1; If a is negative, it will return -1
          • Return type: int type

          Example

          mysql> select sign(-1), sign(1.2);
          +------------+-----------+
          | sign(-1.0) | sign(1.2) |
          +------------+-----------+
          |         -1 |         1 |
          +------------+-----------+

          Keywords

          sign

          SQRT,DSQRT

          Description

          sqrt(double a)
          dsqrt(double a)
          • Function: return the square root of a
          • Return type: double type

          Example

          mysql> select sqrt(4), dsqrt(10);
          +-----------+--------------------+
          | sqrt(4.0) | dsqrt(10.0)        |
          +-----------+--------------------+
          |         2 | 3.1622776601683795 |
          +-----------+--------------------+

          Keywords

          sqrt, dsqrt

          TRUNCATE

          Description

          truncate(double num, int len)
          • Function: intercept num and retain the specified decimal places of len
          • Return type: double type

          Example

          select truncate(1.1234, 2); 
          +---------------------+
          | truncate(1.1234, 2) |
          +---------------------+
          |                1.12 |
          +---------------------+

          Keywords

          truncate
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