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FPSpreadsheet: List of formulas: what changed

Revision 2 to 3. Removed lines have a minus sign; added lines have a plus sign.

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11## Introduction
22
3-This is a list of the formulas supported by [[FPSpreadsheet]].
3+This is a list of the formulas supported by [[FPSpreadsheet]].
44
5-The arguments can be **constants** of the given type, or **cells** containing values of the given type. Similar to the Office applications, type-checking is very relaxed, and data are automatically converted to the required type if possible.
5+The arguments can be **constants** of the given type, or **cells** containing values of the given type. Similar to the Office applications, type-checking is very relaxed, and data are automatically converted to the required type if possible.
66
77## Mathematical functions
88
99| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
1010|---|---|---|---|---|---|
1111| `ABS(num)` | Returns the absolute value of a number | float | 1 | float | |
1212| `ACOS(num)` | Returns the arccosine (in radians) of a number | float (>= -1 and <= +1) | 1 | float | |
1313| `ACOSH(num)` | Returns the inverse hyperbolic cosine of a number | float (>= 1) | 1 | float | |
1414| `ASIN(num)` | Returns the arcsine (in radians) of a number | float (>= -1 and <= +1) | 1 | float | |
1515| `ASINH(num)` | Returns the inverse hyperbolic sine of a number | float | 1 | float | |
1616| `ATAN(num)` | Returns the arctangent (in radians) of a number | float | 1 | float | |
1717| `ATANH(num)` | Returns the inverse hyperbolic tangent of a number | float (> -1 and < +1) | 1 | float | |
18-| `CEILING(num,signif)` | Rounds a number up to next multiple of `sign` | float | 2 | float | sfExcel2 |
18+| `CEILING(num,signif)` | Rounds a number up to next multiple of `signif` | float | 2 | float | sfExcel2 |
1919| `COS(num)` | Returns the cosine of an angle (in radians) | float | 1 | float | |
2020| `COSH(num)` | Returns the hyperbolic cosine of a number | float | 1 | float | |
2121| `DEGREES(num)` | Converts an angle from radians to degrees | float | 1 | float | sfExcel2 |
2222| `EVEN(num)` | Rounds a pos number up, a neg number down to the next even integer | float | 1 | integer | sfExcel2 |
2323| `EXP(num)` | Calculates the exponential function of a number | float | 1 | float | |
2424| `FACT(num)` | Calculates the factorial of a number | integer | 1 | float | |
25-| `FLOOR(num,signif)` | Rounds a number down to next multiple of `sign` | float | 2 | float | sfExcel2 |
25+| `FLOOR(num,signif)` | Rounds a number down to next multiple of `signif` | float | 2 | float | sfExcel2 |
2626| `INT(num)` | Returns the integer portion of a number, rounds down | float | 1 | integer | |
2727| `LN(num)` | Calculates the natural logarithm of a number | float (> 0) | 1 | float | |
2828| `LOG(num [, base])` | Calculates the logarithm of a number to a specified base. · `base`, if omitted, is 10. | float (> 0) | 1 or 2 | float | |
2929| `LOG10(num)` | Calculates the base-10 logarithm of a number | float (> 0) | 1 | float | |
3030| `ODD(num)` | Rounds a pos number up, a neg number down to the next odd integer | float | 1 | integer | sfExcel2 |
3131| `PI()` | Returns the mathematical constant π (3.14159265358979) | none | 0 | float | |
3232| `POWER(num, exponent)` | Returns the result of a number raised to a given power | float | 2 | float | sfExcel2 |
3333| `RADIANS(num)` | Converts an angle from degrees to radians | float | 1 or 2 | float | sfExcel2 |
3434| `RAND()` | Returns a random number between 0 and 1 | none | 0 | float | |
35-| `ROUND(num, digits)` | Returns a number rounded to a specified number of digits | float | 2 | float | |
35+| `ROUND(num, digits)` | Returns a number rounded to a specified number of digits | float, integer | 2 | float | |
36+| `ROUNDDOWN(num, digits)` | Returns a number rounded down to a specified number of digits | float, integer | 2 | float | sfExcel2 |
37+| `ROUNDUP(num, digits)` | Returns a number rounded up to a specified number of digits | float, integer | 2 | float | sfExcel2 |
3638| `SIGN(num)` | Returns the sign of a number | float | 1 | integer | |
3739| `SIN(num)` | Returns the sine of an angle (in radians) | float | 1 | float | |
3840| `SINH(num)` | Returns the hyperbolic sine of a number | float | 1 | float | |
3941| `TAN(num)` | Returns the tangent of an angle (in radians) | float (<> (integer)*π/2) | 1 | float | |
4042| `TANH(num)` | Returns the hyperbolic tangent of a number | float | 1 | float | |
4143
4244## Statistical functions
4345
4446| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
4547|---|---|---|---|---|---|
4648| `AVEDEV(num1 [, num2, ...] )` | Average value of absolute deviations of data from their mean. | float | > 1 | float | sfExcel2 |
4749| `AVERAGE(num1 [, num2, ...] )` | Average value of a series of numbers | float | > 1 | float | |
4850| `AVERAGEIF(range, condition [, value_range] )` | Average value of data in value_range if cells in range meet condition | cell ranges (like `A1:D5`) · `condition` is value, string or cell | 2 or 3 | float | sfExcel2 · sfExcel5 · sfExcel8 |
4951| `COUNT(value1 [, value2, ...] )` | Counts cells and arguments containing numbers | any | > 1 | integer | |
5052| `COUNTA(value1 [, value2, ...] )` | Counts the number of non-empty cells and arguments | any | > 1 | integer | |
5153| `COUNTBLANK(range)` | Counts the number of empty cells in a range | cell range · (like `A1:D5`) | 1 | integer | sfExcel2 |
5254| `COUNTIF(range, condition )` | Counts the cells in range which meet condition | cell range (like `A1:D5`) · `condition` is value, string or cell | 2 | integer | sfExcel2 |
5355| `MAX(num1 [, num2, ...] )` | Returns the largest value from the numbers provided | float | > 1 | float | |
5456| `MIN(num1 [, num2, ...] )` | Returns the smallest value from the numbers provided | float | > 1 | float | |
5557| `PRODUCT(num1 [, num2, ...] )` | Calculates the product of the numbers provided | float | > 1 | float | |
5658| `STDEV(num1 [, num2, ...] )` | Returns the standard deviation of a population based on a ample of numbers | float | > 1 | float | |
5759| `STDEVP(num1 [, num2, ...] )` | Returns the standard deviation of a population based on an entire population | float | > 1 | float | |
5860| `SUM(num1 [, num2, ...] )` | Calculates the sum of the numbers provided | float | > 1 | float | |
5961| `SUMIF(range, condition [, value_range] )` | Adds the data in value_range if cells in range meet condition | cell ranges (like `A1:D5`) · `condition` is value, string or cell | 2 or 3 | float | sfExcel2 |
6062| `SUMSQ(num1 [, num2, ...] )` | Returns the sum of the squares of a series of numbers | float | > 1 | float | sfExcel2 |
6163| `VAR(num1 [, num2, ...] )` | Returns the variance of a population based on a sample of numbers | float | >1 | float | |
6264| `VARP(num1 [, num2, ...] )` | Returns the variance of a population based on an entire population | float | > 1 | float | |
6365
6466## Date/time funtions
6567
6668| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
6769|---|---|---|---|---|---|
6870| `DATE(year, month, day)` | Calculates a serial date number from year, month and day | integer | 3 | date/time | |
6971| `DATEDIF(start_date, end_date, interval)` | Calculates the difference between two date value based on a given interval | `start_date, end_date`: date/time · `interval` is a string: · `Y` = number of years, · `M` = number of months, · `D` = number of days | 3 | integer | sfExcel2 |
7072| `DATEVALUE(date_string)` | Converts a (date) string to a date/time value. | string | 1 | date/time | |
7173| `DAY(value)` | Extracts the day number (1..31) of a date value. | date/time, number, string | 1 | integer | |
7274| `HOUR(value)` | Extracts the hour (0..23) of a time value. | date/time, number, string | 1 | integer | |
7375| `MINUTE(value)` | Extracts the minute (0..59) of a time value. | date/time, number, string | 1 | integer | |
7476| `MONTH(value)` | Extracts the month number (1..12) of a date value. | date/time, number, string | 1 | integer | |
7577| `NOW()` | Returns the current system date and time. · Will refresh whenever the worksheet recalculates. | none | 0 | date/time | |
7678| `SECOND(value)` | Extracts the second (0..59) of a time value. | date/time, number, string | 1 | integer | |
7779| `TIME(year, month, day)` | Calculates a date/time value from hours, minutes and seconds | integer | 3 | date/time | |
7880| `TIMEVALUE(time_string)` | Converts a (time) string to a date/time value. | string | 1 | date/time | |
7981| `TODAY()` | Returns the current system date | none | 0 | date/time | |
8082| `WEEKDAY(value [, type])` | Returns a number code for the weekday of a date | `value`: date/time, number, string · `type=0`: Sunday=1, Saturday=7 (default) · `type=1`: Monday=1, Sunday=7 · `type=2`: Monday=9, Sunday=6 | 1 or 2 | integer | |
8183| `YEAR(value)` | Extracts the year of a date value. | date/time, number, string | 1 | integer | |
8284
8385## String functions
8486
8587| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
8688|---|---|---|---|---|---|
8789| `CHAR(ascii_value)` | Returns the character based on its ASCII value | integer | 1 | string | |
8890| `CODE(text)` | Returns the ASCII code of the first character of a string | string | 1 | integer | |
8991| `CONCATENATE(text1 [, text2, ...] )` | Joins strings together | float | > 1 | string | |
9092| `EXACT(text1, text2)` | Compares two strings (case-sensitive) | float | 2 | boolean | |
9193| `LEFT(text [, count])` | Returns the left-most characters of a string | `text`: string · `count`: integer (default 1) | 1 or 2 | string | |
9294| `LEN(text)` | Returns the character count of a string | string | 1 | integer | |
9395| `LOWER(text)` | Converts a string to lower-case characters | string | 1 | string | |
9496| `MID(text, start_pos, count)` | Returns part of a string | `text`: string · `start_pos, count`: integer | 3 | string | |
9597| `REPLACE(text, start_pos, count, new_text)` | Replaces a sequence of characters in a string with another string | `text`: string · `start_pos, count`: integer · `new_text`: string | 4 | string | |
9698| `REPT(text, count)` | Repeats a text a specified number of times | `text`: string · `count`: integer | 2 | string | |
9799| `RIGHT(text [, count])` | Returns the right-most characters of a string | `text`: string · `count`: integer (default 1) | 1 or 2 | string | |
98100| `SUBSTITUTE(text, old_text, new_text [, nth_appearance])` | Replaces part of a string with another string | `text, old_text, new_text`: string · `nth_appearance`: integer · (default: replace all) | 3 or 4 | string | |
99101| `TRIM(text)` | Removes leading and trailing spaces from a string | string | 1 | string | |
100102| `UPPER(text)` | Converts a string to upper-case characters | string | 1 | string | |
101103| `VALUE(text)` | Converts a string representing a number to a number | string | 1 | float | |
102104
103105## Logical functions
104106
105107| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
106108|---|---|---|---|---|---|
107109| `AND(condition1 [, condition2, ...])` | Calculates the logical AND of several boolean values | boolean | any | boolean | |
108110| `FALSE()` | Returns the boolean value FALSE | none | 0 | boolean | |
109111| `IF(condition, value_true [, value_false])` | Returns `value_true` if `condition` is true, · or `value_false` (or false) if `condition` is false | `condition`: boolean · `value_true, value_false`: any type | 2 or 3 | any type | |
110112| `NOT(value)` | Inverts a boolean value | boolean | 1 | boolean | |
111113| `OR(condition1 [, condition2, ...])` | Calculates the logical OR of several boolean values | boolean | any | boolean | |
112114| `TRUE()` | Returns the boolean value TRUE | none | 0 | boolean | |
113115
114116## Info functions
115117
116118| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
117-|----|----|----|----|----|----|
118-| `ERROR.TYPE(value)` | Returns the numeric representation of one of the errors in Excel (1 = \#NULL!, 2 = \#DIV/0!, 3 = \#VALUE!, 4 = \#REF!, 5 = \#NAME?, 6 = \#NUM!, \#N/A else). | cell | 1 | integer | sfExcel2 |
119+|---|---|---|---|---|---|
120+| `ERROR.TYPE(value)` | Returns the numeric representation of one of the errors in Excel (1 = #NULL!, 2 = #DIV/0!, 3 = #VALUE!, 4 = #REF!, 5 = #NAME?, 6 = #NUM!, #N/A else). | cell | 1 | integer | sfExcel2 |
119121| `ISBLANK(value)` | Checks for blank or null values. | any, usually cell | 1 | boolean | |
120-| `ISERR(value)` | Returns TRUE if `value` is an error but not \#N/A | any, usually cell | 1 | boolean | |
121-| `ISERROR(value)` | Returns TRUE if `value` is an error value (#N/A, \#VALUE!, \#REF!, \#DIV/0!, \#NUM!, \#NAME? or \#NULL). | any, usually cell | 1 | boolean | |
122+| `ISERR(value)` | Returns TRUE if `value` is an error but not #N/A | any, usually cell | 1 | boolean | |
123+| `ISERROR(value)` | Returns TRUE if `value` is an error value (#N/A, #VALUE!, #REF!, #DIV/0!, #NUM!, #NAME? or #NULL). | any, usually cell | 1 | boolean | |
122124| `ISLOGICAL(value)` | Returns TRUE if `value` is boolean | any, usually cell | 1 | boolean | |
123-| `ISNA(value)` | Returns TRUE if `value` is a \#N/A error | any, usually cell | 1 | boolean | |
125+| `ISNA(value)` | Returns TRUE if `value` is a #N/A error | any, usually cell | 1 | boolean | |
124126| `ISNONTEXT(value)` | Returns TRUE if `value` is not a string | any, usually cell | 1 | boolean | |
125127| `ISNUMBER(value)` | Returns TRUE if `value` is a number | any, usually cell | 1 | boolean | |
126128| `ISREF(value)` | Returns TRUE if `value` is a cell reference | any, usually cell | 1 | boolean | |
127129| `ISTEXT(value)` | Returns TRUE if `value` is a string | any, usually cell | 1 | boolean | |
128-| | | | | | |
129-| | | | | | |
130130
131131## Lookup/reference functions
132132
133133| Calling prototye | Meaning | Argument types | Arguments | Result type | Not for |
134134|---|---|---|---|---|---|
135-| `ADDRESS(row, col [, ref_type] [, ref_style], [sheet_name])` | \| Returns a text representation of a cell address · `ref_type` is the type of reference to use: 1=absolute (default); 2=relative column, absolute row; 3=absolute column, relative row; 4=relative · `ref_style` if true (default) means: address in A1 dialect, otherwise in R1C1 · `sheet_name=name` of the worksheet | \| 3x integer · boolean · string | 2 (up to 5) | string | sfExcel2 |
136-| `COLUMN( [reference] )` | \| Returns the (1-based) column number of a cell reference. · `reference` is a reference to a cell or range of cells. If omitted, it is assumed that the reference is the cell address in which the COLUMN function has been entered. | string | 1 (or 0) | integer | |
135+| `ADDRESS(row, col [, ref_type] [, ref_style], [sheet_name])` | Returns a text representation of a cell address · `ref_type` is the type of reference to use: 1=absolute (default); 2=relative column, absolute row; 3=absolute column, relative row; 4=relative · `ref_style` if true (default) means: address in A1 dialect, otherwise in R1C1 · `sheet_name=name` of the worksheet | 3x integer · boolean · string | 2 (up to 5) | string | sfExcel2 |
136+| `COLUMN( [reference] )` | Returns the (1-based) column number of a cell reference. · `reference` is a reference to a cell or range of cells. If omitted, it is assumed that the reference is the cell address in which the COLUMN function has been entered. | string | 1 (or 0) | integer | |
137137| `HYPERLINK(link [, display_name])` | Adds a hyperlink | string | 1 or 2 | string (hyperlink) | sfExcel2, sfExcel5 |
138-| `INDIRECT(address)` | Returns cell reference bases on address string | string | 1 | cell | |
139-| `MATCH(value, array [, type])` | Searches for a value in a 1-D array and returns the relative position of that item. · type = 1 (default) finds the largest value <= `value` (assumes an array in ascending order) · type = -1 finds the smallest value >= `value` (assumes an array in descending order) · type = 0 finds the first value equal to `value` (no requirement on sort order, array can contain strings with wildcard '?'). | \| `value`: float or text · `array`: 1-D cell range (e.g., `A1:A9`, or `A1:G1`) · `type`: integer | 2 or 3 | integer | |
140-| `ROW( [reference] )` | \| Returns the (1-based) row number of a cell reference. · `reference` is a reference to a cell or range of cells. If omitted, it is assumed that the reference is the cell address in which the ROW function has been entered. | string | 1 (or 0) | integer | |
138+| `INDEX(address, row , [col])` | Returns the cell content at the intersection of the given row and colum of the 2D cell range. · row and column indices are relative to the cell range (1-based). The last parameter can be omitted when the input array is 1-dimensional (i.e., a single column or row). | 1-D or 2-D cell range · integer · [integer] | 2 or 3 | (cell value) | |
139+| `INDIRECT(address)` | Returns cell reference based on address string | string | 1 | cell | |
140+| `MATCH(value, array [, type])` | Searches for a value in a 1-D array and returns the relative position of that item. · type = 1 (default) finds the largest value <= `value` (assumes an array in ascending order) · type = -1 finds the smallest value >= `value` (assumes an array in descending order) · type = 0 finds the first value equal to `value` (no requirement on sort order, array can contain strings with wildcard '?'). | `value`: float or text · `array`: 1-D cell range (e.g., `A1:A9`, or `A1:G1`) · `type`: integer | 2 or 3 | integer | |
141+| `ROW( [reference] )` | Returns the (1-based) row number of a cell reference. · `reference` is a reference to a cell or range of cells. If omitted, it is assumed that the reference is the cell address in which the ROW function has been entered. | string | 1 (or 0) | integer | |
141142
142143---
143-*From the Free Pascal wiki, page "FPSpreadsheet: List of formulas", as it stood on 2020-11-10 after a change by Wp, out of the wiki's dump of 2024-05-26. Copyright stays with the author who wrote it, according to the old wiki's [[Licensing]] page. If you have concerns about this material, [message the admin](/wiki-contact).*
144+*From the Free Pascal wiki, page "FPSpreadsheet: List of formulas", as the Internet Archive kept it on 2025-04-18, last changed on 2024-05-30. Copyright stays with the author who wrote it, according to the old wiki's [[Licensing]] page. If you have concerns about this material, [message the admin](/wiki-contact).*

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