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ADDUse the '+' (plus) sign to add values of some type of number. Syntax Code Block |
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number1 + number2 + ... |
Return types number + number = number integer + integer = integer currency + currency = currency percentage + percentage = percentage number + integer = number number + currency = currency number + percentage = percentage integer + currency = currency integer + percentage = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney + 3.00 = 5.50 of type currency Child.pocketMoney + 3 = 5.50 of type currency 2.50 + 3 = 5.5000 of type number 100 + Bonus.standard = 105.00 of type percentage Child.pocketMoney + Bonus.standard results in an error
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SUMThis function adds the values of a collection of numbers. Syntax Code Block |
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SUM(collection) |
Return types number integer currency percentage
Examples Suppose the following data model. Person.name | Person.gender | Person.age |
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“Kim” | “f” | 23 | “Rick” | “m” | 35 | “Bob” | “m” | 42 | “John” | “m” | 19 | “Mary” | “f” | 33 |
SUM(COLLECT Person.age FROM ALL Person) results in 152 SUM(COLLECT Person.age FROM ALL Person WHERE (Person.gender = “m”)) results in 96 SUM([1,2,3,4,5,6,7,8,9,10]) results in 55
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SUBTRACTUse the '-' (minus) sign to subtract values of some type of number. Syntax Code Block |
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number1 - number2 - ... |
Return types number - number = number integer - integer = integer currency - currency = currency percentage - percentage = percentage number - integer = number number - currency = currency number - percentage = percentage integer - number = number integer - currency = currency integer - percentage = percentage currency - number = currency currency - integer = currency percentage - number = percentage percentage - integer = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney - 1.00 = 1.50 of type currency Child.pocketMoney - 3 = -0.50 of type currency 5.00 - 3 = 2.0000 of type number 100 - Bonus.standard = 95.00 of type percentage Child.pocketMoney - Bonus.standard results in an error
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DIVIDEUse the '/' (forward slash) sign to divide values of some type of number. Syntax
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number1 / number2 / ... |
Return types number / number = number integer / integer = number currency / currency = number percentage / percentage = number number / integer = number integer / number = number currency / number = currency currency / integer = currency percentage / number = percentage percentage / integer = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney / 1.00 = 2.50 of type currency Child.pocketMoney / 2 = 1.25 of type currency 5.00 / 3 = 1.6667 of type number Bonus.standard / 5 = 1.00 of type percentage
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DIVThis function returns the integer portion of a division. Syntax Code Block |
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number1 DIV number2 |
Return type Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney DIV 1.00 = 2 of type integer Bonus.standard DIV 5 = 1 of type integer 6 DIV 4.50 = 1 of type integer
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MODThis function returns the remainder of a division. Syntax Code Block |
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number1 % number2 |
Return types number % number = number integer % integer = integer currency % currency = currency percentage % percentage = percentage number % integer = number integer % number = number currency % number = currency currency % integer = currency percentage % number = percentage percentage % integer = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney % 0.20 = 0.10 of type currency Child.pocketMoney % 1 = 0.50 of type currency Bonus.standard % 3 = 2.00 of type percentage 9 % 2.50 = 1.5000 of type number
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ROUNDThe ROUND function rounds a number value to a specified number of decimal places. Syntax Code Block |
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ROUND number [UP | DOWN] TO POSITION position |
number - Number or attribute of some type of number to be rounded. UP or DOWN - The direction of rounding. The direction DOWN points to zero for both positive and negative values, UP points away from zero. If no direction is specified, rounding will be done to the nearest integer (half-way values will be rounded up). position - The rounding position as integer. A positive integer represents the place value of the digit after the decimal point. Zero and negative integers represent the place value of the digit before the decimal point. Place values: [-n]..[-3][-2][-1][0].[1][2][3]..[n]
Return types number integer currency percentage
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| If you prefer a functional syntax, then you can use the ROUNDDOWN or ROUNDUP function. Its syntax is ROUNDDOWN/ROUNDUP ( number, digits ). Example: ROUNDDOWN(1.23456, 2) = 1.23 |
Examples ROUND 12345.23 TO POSITION -2 = 12300.0000 ROUND 12345.23 TO POSITION 1 = 12345.2000 ROUND 12345.23 UP TO POSITION -2 = 12400 ROUND 12345.23 UP TO POSITION 1 = 12345.3000 ROUND 12345.23 DOWN TO POSITION -2 = 12300.0000 ROUND 12345.23 DOWN TO POSITION 1 = 12345.2000 ROUND 12345.23 UP TO POSITION -5 = 100000.0000
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ROUND TO MULTIPLEThe ROUND TO MULTIPLE function rounds a number value to a specified multiple. Syntax Code Block |
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ROUND number [UP | DOWN] TO MULTIPLE multiple |
number - Number or attribute of some type of number to be rounded. UP or DOWN - The direction of rounding. The direction DOWN points to zero for both positive and negative values, UP points away from zero. If no direction is specified, rounding will be done to the nearest multiple (half-way values will be rounded up). multiple - The multiple to be rounded to. This can be both a positive and negative value of any number type.
Return types number integer currency percentage
Examples ROUND 12345.23 TO MULTIPLE 500 = 12500.0000 of type number ROUND 12345.23 TO MULTIPLE 5 = 12345.0000 of type number ROUND 12345.23 TO MULTIPLE 0.50 = 12345.0000 of type number - ROUND 12345.27 TO MULTIPLE 0.50 = 12345.5000 of type number
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| If you prefer a more functional syntax, you can use the ROUNDSIG, ROUNDSIGDOWN or ROUNSIGUP functions, all with 2 number parameters. |
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MULTIPLYUse the '*' (asterisk) sign to multiply values of some type of number. Syntax Code Block |
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number1 * number2 * ... |
Return types number * number = number integer * integer = number currency * currency = number percentage * percentage = number number * integer = number integer * number = number currency * number = currency currency * integer = currency percentage * number = percentage percentage * integer = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney * 1.00 = 2.50 of type currency Child.pocketMoney * 2 = 5.00 of type currency 5.00 * 3 = 15.0000 of type number Bonus.standard * 5 = 25.00 of type percentage
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PRODUCTThis function returns the product of the values of a collection of numbers. Syntax Code Block |
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PRODUCT(collection) |
Return types number integer currency percentage
Examples Suppose the following data model. Person.name | Person.score |
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“Kim” | 9 | “Rick” | 8.5 | “Bob” | 3 | “John” | 7.5 | “Mary” | 6 |
PRODUCT(COLLECT Person.score FROM ALL Person) results in 10327.5000 PRODUCT(COLLECT Person.score FROM ALL Person WHERE (Person.score < 8)) results in 135.0000 PRODUCT([3.5, 2.2]) results in 7.7000 of type number
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POWERUse the '**' operator to raise a number to a power. Syntax Code Block |
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base ** exponent |
base - Base; number or attribute of some type of number. exponent - Exponent, power; number or attribute of some type of number.
Return types number ** number = number integer ** integer = number number ** integer = number integer ** number = number currency ** number = currency currency ** integer = currency percentage ** number = percentage percentage ** integer = percentage
Examples Suppose the following data model. Attribute Child.pocketMoney is of type currency and has a value of 2.50. Attribute Bonus.standard is of type percentage and has a value of 5.00. Child.pocketMoney ** 1.00 = 2.50 of type currency Child.pocketMoney ** 2 = 6.25 of type currency 5.00 ** 3 = 125.0000 of type number Bonus.standard ** 5 = 3125.00 of type percentage
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LESSThe operator '<' compares two values and returns the boolean value TRUE if the left value is smaller than the right value and FALSE otherwise. Syntax Code Block |
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value1 < value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
Return type Examples 1 < 2 returns TRUE 1.0 < 1.0 returns FALSE DATE(2012,1,1) < TODAY returns TRUE 2000 < YEAR(TODAY) returns TRUE
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LESS OR EQUALThe operator '<=' compares two values and returns the boolean value TRUE if the left value is smaller than or equal to the right value and FALSE otherwise. Syntax Code Block |
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value1 <= value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
Return type Examples 1 <= 2 returns TRUE 1.0 <= 1.0 returns TRUE DATE(2012,1,1) <= TODAY returns TRUE 4000 <= YEAR(TODAY) returns FALSE
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GREATERThe operator '>' compares two values and returns the boolean value TRUE if the left value is greater than the right value and FALSE otherwise. Syntax Code Block |
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value1 > value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
Return type Examples 1 > 2 returns FALSE 1.0 > 1.0 returns FALSE DATE(2012,1,1) > TODAY returns FALSE 4000 > YEAR(TODAY) returns TRUE
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GREATER OR EQUALThe operator '>=' compares two values and returns the boolean value TRUE if the left value is greater than or equal to the right value and FALSE otherwise. Syntax Code Block |
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value1 >= value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
Return type Examples 1 >= 2 returns FALSE 1.0 >= 1.0 returns TRUE DATE(2012,1,1) >= TODAY returns FALSE 4000 >= YEAR(TODAY) returns TRUE
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EQUALThe operator '=' compares two values and returns the boolean value TRUE if the left value is equal to the right value and FALSE otherwise. Syntax Code Block |
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value1 = value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
When one or both values are a set, the '=' operator is translated to SUBSET OF: "a" = ["a", "b"] is equivalent to "a" SUBSET OF ["a","b"] , which returns true["a", "b"] = "a" is also equivalent to "a" SUBSET OF ["a","b"] , note that the arguments are switched. Because we have a set and a single value, there is only one way to interpret this with the SUBSET OF function.["a"] = ["a", "b"] is equivalent to ["a"] SUBSET OF ["a","b"] , which returns true["a", "b"] = ["a"] is equivalent to ["a", "b"] SUBSET OF ["a"] , which returns false. (note that if "set1 = set2" returns true, it does not mean that "set2 = set1" will also return true)
To test if two sets are equal you could use the expression: Code Block |
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L1 SUBSET OF L2 AND L2 SUBSET OF L1 |
Return type Examples Include Page |
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NOT EQUALThe operator '!=' compares two values and returns the boolean value TRUE if the left value is not equal to the right value and FALSE otherwise. Syntax Code Block |
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value1 != value2 |
value1 - Number, date or attribute of some type of number or date. value2 - Number, date or attribute of some type of number or date.
Return type Examples 1 != 2 returns TRUE 1.0 != 1.0 returns FALSE DATE(2012,1,1) != TODAY returns TRUE 5 + 5 != 10 returns FALSE
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ANNUITYThis function is able to directly compute an annuity for you. An annuity is a terminating "stream" of fixed payments, i.e., a collection of payments to be periodically received over a specified period of time. It is computed using this formula: ![](http://upload.wikimedia.org/math/e/2/8/e2803afb2c83fadca970eb264ad14c93.png)
where - J = monthly payment
- i = rate of interest
- n = number of terms
- T = loan amount
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ANNUITY( [currency], [percentage], [integer]) |
currency - The total amount that should be payed back. percentage - The percentage that should be paid on a loan (As a fraction, e.g. 5% = 0.05) - integer - The amount of terms.
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