These functions all operate on numerical expressions only, and will return an error if used on any other values.
See also Section 8.4.1, “Mathematical operators”.
ABS returns the absolute value of a number.
Syntax: ABS( expression )
Arguments:
- expression: A numeric expression.
Query.
MATCH (a),(e) WHERE a.name = 'Alice' AND e.name = 'Eskil' RETURN a.age, e.age, abs(a.age - e.age)
The absolute value of the age difference is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 match (a), (e) where a.name = 'Alice' and e.name = 'Eskil' return a.age, e.age, abs(a.age - e.age)
ACOS returns the arccosine of the expression, in radians.
Syntax: ACOS( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN acos(0.5)
The arccosine of 0.5.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return acos(0.5)
ASIN returns the arcsine of the expression, in radians.
Syntax: ASIN( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN asin(0.5)
The arcsine of 0.5.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return asin(0.5)
ATAN returns the arctangent of the expression, in radians.
Syntax: ATAN( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN atan(0.5)
The arctangent of 0.5.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return atan(0.5)
ATAN2 returns the arctangent2 of a set of coordinates, in radians.
Syntax: ATAN2( expression , expression)
Arguments:
- expression: A numeric expression for y.
- expression: A numeric expression for x.
Query.
RETURN atan2(0.5, 0.6)
The arctangent2 of 0.5, 0.6.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return atan2(0.5, 0.6)
COS returns the cosine of the expression.
Syntax: COS( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN cos(0.5)
The cosine of 0.5 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return cos(0.5)
COT returns the cotangent of the expression.
Syntax: COT( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN cot(0.5)
The cotangent of 0.5 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return cot(0.5)
DEGREES converts radians to degrees.
Syntax: DEGREES( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN degrees(3.14159)
The number of degrees in something close to pi.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return degrees(3.14159)
E returns the constant, e.
Syntax: E()
Arguments:
Query.
RETURN e()
The constant e is returned (the base of natural log).
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return e()
EXP returns the value e raised to the power of the expression.
Syntax: EXP( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN exp(2)
The exp of 2 is returned: e2.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return exp(2)
FLOOR returns the greatest integer less than or equal to the expression.
Syntax: FLOOR( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN floor(0.9)
The floor of 0.9 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return floor(0.9)
HAVERSIN returns the half versine of the expression.
Syntax: HAVERSIN( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN haversin(0.5)
The haversine of 0.5 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return haversin(0.5)
The haversin function may be used to compute the distance on the surface of a sphere between two points (each given by their latitude and longitude). In this example the spherical distance (in km) between Berlin in Germany (at lat 52.5, lon 13.4) and San Mateo in California (at lat 37.5, lon -122.3) is calculated using an average earth radius of 6371 km.
Query.
CREATE (ber:City { lat: 52.5, lon: 13.4 }),(sm:City { lat: 37.5, lon: -122.3 })
RETURN 2 * 6371 * asin(sqrt(haversin(radians(sm.lat - ber.lat))+ cos(radians(sm.lat))*
cos(radians(ber.lat))* haversin(radians(sm.lon - ber.lon)))) AS dist
The distance between Berlin and San Mateo is returned (about 9129 km).
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 CREATE (ber:City {lat: 52.5, lon: 13.4}), (sm:City {lat: 37.5, lon: -122.3}) RETURN 2 * 6371 * asin(sqrt(haversin(radians( sm.lat - ber.lat )) + cos(radians( sm.lat )) * cos(radians( ber.lat )) * haversin(radians( sm.lon - ber.lon )))) AS dist
LOG returns the natural logarithm of the expression.
Syntax: LOG( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN log(27)
The log of 27 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return log(27)
LOG10 returns the base 10 logarithm of the expression.
Syntax: LOG10( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN log10(27)
The log10 of 27 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return log10(27)
PI returns the mathmatical constant pi.
Syntax: PI()
Arguments:
Query.
RETURN pi()
The constant pi is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return pi()
RADIANS converts degrees to radians.
Syntax: RADIANS( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN radians(180)
The number of radians in 180 is returned (pi).
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return radians(180)
RAND returns a random double between 0 and 1.0.
Syntax: RAND( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN rand() AS x1
A random number is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return rand() as x1
ROUND returns the numerical expression, rounded to the nearest integer.
Syntax: ROUND( expression )
Arguments:
- expression: A numerical expression.
Query.
RETURN round(3.141592)
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return round(3.141592)
SIGN returns the signum of a number — zero if the expression is zero, -1 for any negative number, and 1 for any positive number.
Syntax: SIGN( expression )
Arguments:
- expression: A numerical expression
Query.
RETURN sign(-17), sign(0.1)
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return sign(-17), sign(0.1)
SIN returns the sine of the expression.
Syntax: SIN( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN sin(0.5)
The sine of 0.5 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return sin(0.5)
SQRT returns the square root of a number.
Syntax: SQRT( expression )
Arguments:
- expression: A numerical expression
Query.
RETURN sqrt(256)
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return sqrt(256)
TAN returns the tangent of the expression.
Syntax: TAN( expression )
Arguments:
- expression: A numeric expression.
Query.
RETURN tan(0.5)
The tangent of 0.5 is returned.
Try this query live. create (_0 {`age`:54, `eyes`:"brown", `name`:"Daniel"}) create (_1:`Spouse` {`age`:41, `array`:["one", "two", "three"], `eyes`:"blue", `name`:"Eskil"}) create (_2:`foo`:`bar` {`age`:38, `eyes`:"brown", `name`:"Alice"}) create (_3 {`age`:25, `eyes`:"blue", `name`:"Bob"}) create (_4 {`age`:53, `eyes`:"green", `name`:"Charlie"}) create _2-[:`KNOWS`]->_3 create _2-[:`KNOWS`]->_4 create _3-[:`KNOWS`]->_0 create _3-[:`MARRIED`]->_1 create _4-[:`KNOWS`]->_0 return tan(0.5)