This appendix provides a list of all the functions which are currently defined in Gnumeric. BITAND BITAND bitwise and BITAND(a,b) a: non-negative integer b: non-negative integer BITAND returns the bitwise and of the binary representations of its arguments. BITOR, BITXOR. BITLSHIFT BITLSHIFT bit-shift to the left BITLSHIFT(a,n) a: non-negative integer n: integer BITLSHIFT returns the binary representations of a shifted n positions to the left. If n is negative, BITLSHIFT shifts the bits to the right by ABS(n) positions. BITRSHIFT. BITOR BITOR bitwise or BITOR(a,b) a: non-negative integer b: non-negative integer BITOR returns the bitwise or of the binary representations of its arguments. BITXOR, BITAND. BITRSHIFT BITRSHIFT bit-shift to the right BITRSHIFT(a,n) a: non-negative integer n: integer BITRSHIFT returns the binary representations of a shifted n positions to the right. If n is negative, BITRSHIFT shifts the bits to the left by ABS(n) positions. BITLSHIFT. BITXOR BITXOR bitwise exclusive or BITXOR(a,b) a: non-negative integer b: non-negative integer BITXOR returns the bitwise exclusive or of the binary representations of its arguments. BITOR, BITAND. COMPLEX COMPLEX a complex number of the form x + yi COMPLEX(x,y,i) x: real part y: imaginary part i: the suffix for the complex number, either "i" or "j"; defaults to "i" If i is neither "i" nor "j", COMPLEX returns #VALUE! This function is Excel compatible. IMABS IMABS the absolute value of the complex number z IMABS(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMAGINARY, IMREAL. IMAGINARY IMAGINARY the imaginary part of the complex number z IMAGINARY(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMREAL. IMARCCOS IMARCCOS the complex arccosine of the complex number IMARCCOS(z) z: a complex number IMARCCOS returns the complex arccosine of the complex number z. The branch cuts are on the real axis, less than -1 and greater than 1. If z is not a valid complex number, #VALUE! is returned. IMARCSIN, IMARCTAN. IMARCCOSH IMARCCOSH the complex hyperbolic arccosine of the complex number z IMARCCOSH(z) z: a complex number IMARCCOSH returns the complex hyperbolic arccosine of the complex number z. The branch cut is on the real axis, less than 1. If z is not a valid complex number, #VALUE! is returned. IMARCSINH, IMARCTANH. IMARCCOT IMARCCOT the complex arccotangent of the complex number z IMARCCOT(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCSEC, IMARCCSC. IMARCCOTH IMARCCOTH the complex hyperbolic arccotangent of the complex number z IMARCCOTH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCSECH, IMARCCSCH. IMARCCSC IMARCCSC the complex arccosecant of the complex number z IMARCCSC(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCSEC, IMARCCOT. IMARCCSCH IMARCCSCH the complex hyperbolic arccosecant of the complex number z IMARCCSCH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCSECH, IMARCCOTH. IMARCSEC IMARCSEC the complex arcsecant of the complex number z IMARCSEC(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCCSC, IMARCCOT. IMARCSECH IMARCSECH the complex hyperbolic arcsecant of the complex number z IMARCSECH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMARCCSCH, IMARCCOTH. IMARCSIN IMARCSIN the complex arcsine of the complex number z IMARCSIN(z) z: a complex number IMARCSIN returns the complex arcsine of the complex number z. The branch cuts are on the real axis, less than -1 and greater than 1. If z is not a valid complex number, #VALUE! is returned. IMARCCOS, IMARCTAN. IMARCSINH IMARCSINH the complex hyperbolic arcsine of the complex number z IMARCSINH(z) z: a complex number IMARCSINH returns the complex hyperbolic arcsine of the complex number z. The branch cuts are on the imaginary axis, below -i and above i. If z is not a valid complex number, #VALUE! is returned. IMARCCOSH, IMARCTANH. IMARCTAN IMARCTAN the complex arctangent of the complex number IMARCTAN(z) z: a complex number IMARCTAN returns the complex arctangent of the complex number z. The branch cuts are on the imaginary axis, below -i and above i. If z is not a valid complex number, #VALUE! is returned. IMARCSIN, IMARCCOS. IMARCTANH IMARCTANH the complex hyperbolic arctangent of the complex number z IMARCTANH(z) z: a complex number IMARCTANH returns the complex hyperbolic arctangent of the complex number z. The branch cuts are on the real axis, less than -1 and greater than 1. If z is not a valid complex number, #VALUE! is returned. IMARCSINH, IMARCCOSH. IMARGUMENT IMARGUMENT the argument theta of the complex number z IMARGUMENT(z) z: a complex number The argument theta of a complex number is its angle in radians from the real axis. If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMCONJUGATE IMCONJUGATE the complex conjugate of the complex number z IMCONJUGATE(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMAGINARY, IMREAL. IMCOS IMCOS the cosine of the complex number z IMCOS(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMSIN, IMTAN. IMCOSH IMCOSH the hyperbolic cosine of the complex number z IMCOSH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMSINH, IMTANH. IMCOT IMCOT the cotangent of the complex number z IMCOT(z) z: a complex number IMCOT(z) = IMCOS(z)/IMSIN(z). If z is not a valid complex number, #VALUE! is returned. IMSEC, IMCSC. IMCOTH IMCOTH the hyperbolic cotangent of the complex number z IMCOTH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMSECH, IMCSCH. IMCSC IMCSC the cosecant of the complex number z IMCSC(z) z: a complex number IMCSC(z) = 1/IMSIN(z). If z is not a valid complex number, #VALUE! is returned. IMSEC, IMCOT. IMCSCH IMCSCH the hyperbolic cosecant of the complex number z IMCSCH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMSECH, IMCOTH. IMDIV IMDIV the quotient of two complex numbers z1/z2 IMDIV(z1,z2) z1: a complex number z2: a complex number If z1 or z2 is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMPRODUCT. IMEXP IMEXP the exponential of the complex number z IMEXP(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMLN. IMFACT IMFACT the factorial of the complex number z IMFACT(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMGAMMA. IMGAMMA IMGAMMA the gamma function of the complex number z IMGAMMA(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMGAMMA. IMIGAMMA IMIGAMMA the incomplete Gamma function IMIGAMMA(a,z,lower,regularize) a: a complex number z: a complex number lower: if true (the default), the lower incomplete gamma function, otherwise the upper incomplete gamma function regularize: if true (the default), the regularized version of the incomplete gamma function The regularized incomplete gamma function is the unregularized incomplete gamma function divided by gamma(a) GAMMA, IMIGAMMA. IMINV IMINV the reciprocal, or inverse, of the complex number z IMINV(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMLN IMLN the natural logarithm of the complex number z IMLN(z) z: a complex number The result will have an imaginary part between -π and +π. The natural logarithm is not uniquely defined on complex numbers. You may need to add or subtract an even multiple of π to the imaginary part. If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMEXP, IMLOG2, IMLOG10. IMLOG10 IMLOG10 the base-10 logarithm of the complex number z IMLOG10(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMLN, IMLOG2. IMLOG2 IMLOG2 the base-2 logarithm of the complex number z IMLOG2(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMLN, IMLOG10. IMNEG IMNEG the negative of the complex number z IMNEG(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMPOWER IMPOWER the complex number z1 raised to the z2th power IMPOWER(z1,z2) z1: a complex number z2: a complex number If z1 or z2 is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMSQRT. IMPRODUCT IMPRODUCT the product of the given complex numbers IMPRODUCT(z1,z2,…) z1: a complex number z2: a complex number If any of z1, z2,... is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMDIV. IMREAL IMREAL the real part of the complex number z IMREAL(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMAGINARY. IMSEC IMSEC the secant of the complex number z IMSEC(z) z: a complex number IMSEC(z) = 1/IMCOS(z). If z is not a valid complex number, #VALUE! is returned. IMCSC, IMCOT. IMSECH IMSECH the hyperbolic secant of the complex number z IMSECH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMCSCH, IMCOTH. IMSIN IMSIN the sine of the complex number z IMSIN(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMCOS, IMTAN. IMSINH IMSINH the hyperbolic sine of the complex number z IMSINH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMCOSH, IMTANH. IMSQRT IMSQRT the square root of the complex number z IMSQRT(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMPOWER. IMSUB IMSUB the difference of two complex numbers IMSUB(z1,z2) z1: a complex number z2: a complex number If z1 or z2 is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMSUM. IMSUM IMSUM the sum of the given complex numbers IMSUM(z1,z2,…) z1: a complex number z2: a complex number If any of z1, z2,... is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMSUB. IMTAN IMTAN the tangent of the complex number z IMTAN(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. This function is Excel compatible. IMSIN, IMCOS. IMTANH IMTANH the hyperbolic tangent of the complex number z IMTANH(z) z: a complex number If z is not a valid complex number, #VALUE! is returned. IMSINH, IMCOSH. DAVERAGE DAVERAGE average of the values in field in database belonging to records that match criteria DAVERAGE(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DCOUNT. DCOUNT DCOUNT count of numbers in field in database belonging to records that match criteria DCOUNT(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DAVERAGE, DCOUNTA. DCOUNTA DCOUNTA count of cells with data in field in database belonging to records that match criteria DCOUNTA(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DCOUNT. DGET DGET a value from field in database belonging to records that match criteria DGET(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. If none of the records match the conditions, DGET returns #VALUE! If more than one record match the conditions, DGET returns #NUM! DCOUNT. DMAX DMAX largest number in field in database belonging to a record that match criteria DMAX(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DMIN. DMIN DMIN smallest number in field in database belonging to a record that match criteria DMIN(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DCOUNT. DPRODUCT DPRODUCT product of all values in field in database belonging to records that match criteria DPRODUCT(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DSUM. DSTDEV DSTDEV sample standard deviation of the values in field in database belonging to records that match criteria DSTDEV(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DSTDEVP. DSTDEVP DSTDEVP standard deviation of the population of values in field in database belonging to records that match criteria DSTDEVP(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DSTDEV. DSUM DSUM sum of the values in field in database belonging to records that match criteria DSUM(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DPRODUCT. DVAR DVAR sample variance of the values in field in database belonging to records that match criteria DVAR(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DVARP. DVARP DVARP variance of the population of values in field in database belonging to records that match criteria DVARP(database,field,criteria) database: a range in which rows of related information are records and columns of data are fields field: a string or integer specifying which field is to be used criteria: a range containing conditions database is a range in which rows of related information are records and columns of data are fields. The first row of a database contains labels for each column. field is a string or integer specifying which field is to be used. If field is an integer n then the nth column will be used. If field is a string, then the column with the matching label will be used. criteria is a range containing conditions. The first row of a criteria should contain labels. Each label specifies to which field the conditions given in that column apply. Each cell below the label specifies a condition such as ">3" or "<9". An equality condition can be given by simply specifying a value, e. g. "3" or "Jody". For a record to be considered it must satisfy all conditions in at least one of the rows of criteria. DVAR. GETPIVOTDATA GETPIVOTDATA summary data from a pivot table GETPIVOTDATA(pivot_table,field_name) pivot_table: cell range containing the pivot table field_name: name of the field for which the summary data is requested If the summary data is unavailable, GETPIVOTDATA returns #REF! ASCENSIONTHURSDAY ASCENSIONTHURSDAY Ascension Thursday in the Gregorian calendar according to the Roman rite of the Christian Church ASCENSIONTHURSDAY(year) year: year between 1582 and 9956, defaults to the year of the next Ascension Thursday Two digit years are adjusted as elsewhere in Gnumeric. Dates before 1904 may also be prohibited. EASTERSUNDAY. ASHWEDNESDAY ASHWEDNESDAY Ash Wednesday in the Gregorian calendar according to the Roman rite of the Christian Church ASHWEDNESDAY(year) year: year between 1582 and 9956, defaults to the year of the next Ash Wednesday Two digit years are adjusted as elsewhere in Gnumeric. Dates before 1904 may also be prohibited. EASTERSUNDAY. DATE DATE create a date serial value DATE(year,month,day) year: year of date month: month of year day: day of month The DATE function creates date serial values. 1-Jan-1900 is serial value 1, 2-Jan-1900 is serial value 2, and so on. For compatibility reasons, a serial value is reserved for the non-existing date 29-Feb-1900. If month or day is less than 1 or too big, then the year and/or month will be adjusted. For spreadsheets created with the Mac version of Excel, serial 1 is 1-Jan-1904. This function is Excel compatible. TODAY, YEAR, MONTH, DAY. DATE2HDATE DATE2HDATE Hebrew date DATE2HDATE(date) date: Gregorian date, defaults to today HDATE, DATE2HDATE_HEB. DATE2HDATE_HEB DATE2HDATE_HEB Hebrew date in Hebrew DATE2HDATE_HEB(date) date: Gregorian date, defaults to today DATE2HDATE, HDATE_HEB. DATE2JULIAN DATE2JULIAN Julian day number for given Gregorian date DATE2JULIAN(date) date: Gregorian date, defaults to today HDATE_JULIAN. DATE2UNIX DATE2UNIX the Unix timestamp corresponding to a date d DATE2UNIX(d) d: date The DATE2UNIX function translates a date into a Unix timestamp. A Unix timestamp is the number of seconds since midnight (0:00) of January 1st, 1970 GMT. UNIX2DATE, DATE. DATEDIF DATEDIF difference between dates DATEDIF(start_date,end_date,interval) start_date: starting date serial value end_date: ending date serial value interval: counting unit DATEDIF returns the distance from start_date to end_date according to the unit specified by interval. If interval is "y", "m", or "d" then the distance is measured in complete years, months, or days respectively. If interval is "ym" or "yd" then the distance is measured in complete months or days, respectively, but excluding any difference in years. If interval is "md" then the distance is measured in complete days but excluding any difference in months. This function is Excel compatible. DAYS360. DATEVALUE DATEVALUE the date part of a date and time serial value DATEVALUE(serial) serial: date and time serial value DATEVALUE returns the date serial value part of a date and time serial value. This function is Excel compatible. TIMEVALUE, DATE. DAY DAY the day-of-month part of a date serial value DAY(date) date: date serial value The DAY function returns the day-of-month part of date. This function is Excel compatible. DATE, YEAR, MONTH. DAYS DAYS difference between dates in days DAYS(end_date,start_date) end_date: ending date serial value start_date: starting date serial value DAYS returns the positive or negative number of days from start_date to end_date. This function is OpenFormula compatible. DATEDIF. DAYS360 DAYS360 days between dates DAYS360(start_date,end_date,method) start_date: starting date serial value end_date: ending date serial value method: counting method DAYS360 returns the number of days from start_date to end_date. If method is 0, the default, the MS Excel (tm) US method will be used. This is a somewhat complicated industry standard method where the last day of February is considered to be the 30th day of the month, but only for start_date. If method is 1, the European method will be used. In this case, if the day of the month is 31 it will be considered as 30 If method is 2, a saner version of the US method is used in which both dates get the same February treatment. This function is Excel compatible. DATEDIF. EASTERSUNDAY EASTERSUNDAY Easter Sunday in the Gregorian calendar according to the Roman rite of the Christian Church EASTERSUNDAY(year) year: year between 1582 and 9956, defaults to the year of the next Easter Sunday Two digit years are adjusted as elsewhere in Gnumeric. Dates before 1904 may also be prohibited. The 1-argument version of EASTERSUNDAY is compatible with OpenOffice for years after 1904. This function is not specified in ODF/OpenFormula. ASHWEDNESDAY. EDATE EDATE adjust a date by a number of months EDATE(date,months) date: date serial value months: signed number of months EDATE returns date moved forward or backward the number of months specified by months. This function is Excel compatible. DATE. EOMONTH EOMONTH end of month EOMONTH(date,months) date: date serial value months: signed number of months EOMONTH returns the date serial value of the end of the month specified by date adjusted forward or backward the number of months specified by months. This function is Excel compatible. EDATE. GOODFRIDAY GOODFRIDAY Good Friday in the Gregorian calendar according to the Roman rite of the Christian Church GOODFRIDAY(year) year: year between 1582 and 9956, defaults to the year of the next Good Friday Two digit years are adjusted as elsewhere in Gnumeric. Dates before 1904 may also be prohibited. EASTERSUNDAY. HDATE HDATE Hebrew date HDATE(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE_HEB, DATE. HDATE_DAY HDATE_DAY Hebrew day of Gregorian date HDATE_DAY(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE_JULIAN. HDATE_HEB HDATE_HEB Hebrew date in Hebrew HDATE_HEB(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE, DATE. HDATE_JULIAN HDATE_JULIAN Julian day number for given Gregorian date HDATE_JULIAN(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE. HDATE_MONTH HDATE_MONTH Hebrew month of Gregorian date HDATE_MONTH(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE_JULIAN. HDATE_YEAR HDATE_YEAR Hebrew year of Gregorian date HDATE_YEAR(year,month,day) year: Gregorian year of date, defaults to the current year month: Gregorian month of year, defaults to the current month day: Gregorian day of month, defaults to the current day HDATE_JULIAN. HOUR HOUR compute hour part of fractional day HOUR(time) time: time of day as fractional day The HOUR function computes the hour part of the fractional day given by time. This function is Excel compatible. TIME, MINUTE, SECOND. ISOWEEKNUM ISOWEEKNUM ISO week number ISOWEEKNUM(date) date: date serial value ISOWEEKNUM calculates the week number according to the ISO 8601 standard. Weeks start on Mondays and week 1 contains the first Thursday of the year. January 1 of a year is sometimes in week 52 or 53 of the previous year. Similarly, December 31 is sometimes in week 1 of the following year. ISOYEAR, WEEKNUM. ISOYEAR ISOYEAR year corresponding to the ISO week number ISOYEAR(date) date: date serial value ISOYEAR calculates the year to go with week number according to the ISO 8601 standard. January 1 of a year is sometimes in week 52 or 53 of the previous year. Similarly, December 31 is sometimes in week 1 of the following year. ISOWEEKNUM, YEAR. MINUTE MINUTE compute minute part of fractional day MINUTE(time) time: time of day as fractional day The MINUTE function computes the minute part of the fractional day given by time. This function is Excel compatible. TIME, HOUR, SECOND. MONTH MONTH the month part of a date serial value MONTH(date) date: date serial value The MONTH function returns the month part of date. This function is Excel compatible. DATE, YEAR, DAY. NETWORKDAYS NETWORKDAYS number of workdays in range NETWORKDAYS(start_date,end_date,holidays,weekend) start_date: starting date serial value end_date: ending date serial value holidays: array of holidays weekend: array of 0s and 1s, indicating whether a weekday (S, M, T, W, T, F, S) is on the weekend, defaults to {1,0,0,0,0,0,1} NETWORKDAYS calculates the number of days from start_date to end_date skipping weekends and holidays in the process. If an entry of weekend is non-zero, the corresponding weekday is not a work day. This function is Excel compatible if the last argument is omitted. This function is OpenFormula compatible. WORKDAY. NOW NOW the date and time serial value of the current time NOW() The NOW function returns the date and time serial value of the moment it is computed. Recomputing later will produce a different value. This function is Excel compatible. DATE. ODF.TIME ODF.TIME create a time serial value ODF.TIME(hour,minute,second) hour: hour minute: minute second: second The ODF.TIME function computes the time given by hour, minute, and second as a fraction of a day. While the return value is automatically formatted to look like a time between 0:00 and 24:00, the underlying serial time value can be any number. This function is OpenFormula compatible. TIME, HOUR, MINUTE, SECOND. PENTECOSTSUNDAY PENTECOSTSUNDAY Pentecost Sunday in the Gregorian calendar according to the Roman rite of the Christian Church PENTECOSTSUNDAY(year) year: year between 1582 and 9956, defaults to the year of the next Pentecost Sunday Two digit years are adjusted as elsewhere in Gnumeric. Dates before 1904 may also be prohibited. EASTERSUNDAY. SECOND SECOND compute seconds part of fractional day SECOND(time) time: time of day as fractional day The SECOND function computes the seconds part of the fractional day given by time. This function is Excel compatible. TIME, HOUR, MINUTE. TIME TIME create a time serial value TIME(hour,minute,second) hour: hour of the day minute: minute within the hour second: second within the minute The TIME function computes the fractional day after midnight at the time given by hour, minute, and second. While the return value is automatically formatted to look like a time between 0:00 and 24:00, the underlying serial time value is a number between 0 and 1. If any of hour, minute, and second is negative, #NUM! is returned This function is Excel compatible. ODF.TIME, HOUR, MINUTE, SECOND. TIMEVALUE TIMEVALUE the time part of a date and time serial value TIMEVALUE(serial) serial: date and time serial value TIMEVALUE returns the time-of-day part of a date and time serial value. This function is Excel compatible. DATEVALUE, TIME. TODAY TODAY the date serial value of today TODAY() The TODAY function returns the date serial value of the day it is computed. Recomputing on a later date will produce a different value. This function is Excel compatible. DATE. UNIX2DATE UNIX2DATE date value corresponding to the Unix timestamp t UNIX2DATE(t) t: Unix time stamp The UNIX2DATE function translates Unix timestamps into the corresponding date. A Unix timestamp is the number of seconds since midnight (0:00) of January 1st, 1970 GMT. DATE2UNIX, DATE. WEEKDAY WEEKDAY day-of-week WEEKDAY(date,method) date: date serial value method: numbering system, defaults to 1 The WEEKDAY function returns the day-of-week of date. The value of method determines how days are numbered; it defaults to 1. If method is 1, then Sunday is 1, Monday is 2, etc. If method is 2, then Monday is 1, Tuesday is 2, etc. If method is 3, then Monday is 0, Tuesday is 1, etc. If method is 11, then Monday is 1, Tuesday is 2, etc. If method is 12, then Tuesday is 1, Wednesday is 2, etc. If method is 13, then Wednesday is 1, Thursday is 2, etc. If method is 14, then Thursday is 1, Friday is 2, etc. If method is 15, then Friday is 1, Saturday is 2, etc. If method is 16, then Saturday is 1, Sunday is 2, etc. If method is 17, then Sunday is 1, Monday is 2, etc. This function is Excel compatible. DATE, ISOWEEKNUM. WEEKNUM WEEKNUM week number WEEKNUM(date,method) date: date serial value method: numbering system, defaults to 1 WEEKNUM calculates the week number according to method which defaults to 1. If method is 1, then weeks start on Sundays and January 1 is in week 1. If method is 2, then weeks start on Mondays and January 1 is in week 1. If method is 150, then the ISO 8601 numbering is used. ISOWEEKNUM. WORKDAY WORKDAY add working days WORKDAY(date,days,holidays,weekend) date: date serial value days: number of days to add holidays: array of holidays weekend: array of 0s and 1s, indicating whether a weekday (S, M, T, W, T, F, S) is on the weekend, defaults to {1,0,0,0,0,0,1} WORKDAY adjusts date by days skipping over weekends and holidays in the process. days may be negative. If an entry of weekend is non-zero, the corresponding weekday is not a work day. This function is Excel compatible if the last argument is omitted. This function is OpenFormula compatible. NETWORKDAYS. YEAR YEAR the year part of a date serial value YEAR(date) date: date serial value The YEAR function returns the year part of date. This function is Excel compatible. DATE, MONTH, DAY. YEARFRAC YEARFRAC fractional number of years between dates YEARFRAC(start_date,end_date,basis) start_date: starting date serial value end_date: ending date serial value basis: calendar basis YEARFRAC calculates the number of days from start_date to end_date according to the calendar specified by basis, which defaults to 0, and expresses the result as a fractional number of years. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. DATE. BASE BASE string of digits representing the number n in base b BASE(n,b,length) n: integer b: base (2 ≤ b ≤ 36) length: minimum length of the resulting string BASE converts n to its string representation in base b. Leading zeroes will be added to reach the minimum length given by length. This function is OpenFormula compatible. DECIMAL. BESSELI BESSELI Modified Bessel function of the first kind of order α at x BESSELI(X,α) X: number α: order (any non-negative number) If x or α are not numeric, #VALUE! is returned. If α < 0, #NUM! is returned. This function is Excel compatible if only integer orders α are used. BESSELJ, BESSELK, BESSELY. BESSELJ BESSELJ Bessel function of the first kind of order α at x BESSELJ(X,α) X: number α: order (any non-negative integer) If x or α are not numeric, #VALUE! is returned. If α < 0, #NUM! is returned. This function is Excel compatible if only integer orders α are used. BESSELI, BESSELK, BESSELY. BESSELK BESSELK Modified Bessel function of the second kind of order α at x BESSELK(X,α) X: number α: order (any non-negative number) If x or α are not numeric, #VALUE! is returned. If α < 0, #NUM! is returned. This function is Excel compatible if only integer orders α are used. BESSELI, BESSELJ, BESSELY. BESSELY BESSELY Bessel function of the second kind of order α at x BESSELY(X,α) X: number α: order (any non-negative integer) If x or α are not numeric, #VALUE! is returned. If α < 0, #NUM! is returned. This function is Excel compatible if only integer orders α are used. BESSELI, BESSELJ, BESSELK. BIN2DEC BIN2DEC decimal representation of the binary number x BIN2DEC(x) x: a binary number, either as a string or as a number involving only the digits 0 and 1 This function is Excel compatible. DEC2BIN, BIN2OCT, BIN2HEX. BIN2HEX BIN2HEX hexadecimal representation of the binary number x BIN2HEX(x,places) x: a binary number, either as a string or as a number involving only the digits 0 and 1 places: number of digits If places is given, BIN2HEX pads the result with zeros to achieve exactly places digits. If this is not possible, BIN2HEX returns #NUM! This function is Excel compatible. HEX2BIN, BIN2OCT, BIN2DEC. BIN2OCT BIN2OCT octal representation of the binary number x BIN2OCT(x,places) x: a binary number, either as a string or as a number involving only the digits 0 and 1 places: number of digits If places is given, BIN2OCT pads the result with zeros to achieve exactly places digits. If this is not possible, BIN2OCT returns #NUM! This function is Excel compatible. OCT2BIN, BIN2DEC, BIN2HEX. CONVERT CONVERT a converted measurement CONVERT(x,from,to) x: number from: unit (string) to: unit (string) CONVERT returns a conversion from one measurement system to another. x is a value in from units that is to be converted into to units. from and to can be any of the following: Weight and mass: 'g' Gram 'sg' Slug 'lbm' Pound 'u' U (atomic mass) 'ozm' Ounce Distance: 'm' Meter 'mi' Statute mile 'Nmi' Nautical mile 'in' Inch 'ft' Foot 'yd' Yard 'ang' Angstrom 'Pica' Pica Points 'picapt' Pica Points 'pica' Pica Time: 'yr' Year 'day' Day 'hr' Hour 'mn' Minute 'sec' Second Pressure: 'Pa' Pascal 'atm' Atmosphere 'mmHg' mm of Mercury Force: 'N' Newton 'dyn' Dyne 'lbf' Pound force Energy: 'J' Joule 'e' Erg 'c' Thermodynamic calorie 'cal' IT calorie 'eV' Electron volt 'HPh' Horsepower-hour 'Wh' Watt-hour 'flb' Foot-pound 'BTU' BTU Power: 'HP' Horsepower 'W' Watt Magnetism: 'T' Tesla 'ga' Gauss Temperature: 'C' Degree Celsius 'F' Degree Fahrenheit 'K' Degree Kelvin Liquid measure: 'tsp' Teaspoon 'tbs' Tablespoon 'oz' Fluid ounce 'cup' Cup 'pt' Pint 'qt' Quart 'gal' Gallon 'l' Liter For metric units any of the following prefixes can be used: 'Y' yotta 1E+24 'Z' zetta 1E+21 'E' exa 1E+18 'P' peta 1E+15 'T' tera 1E+12 'G' giga 1E+09 'M' mega 1E+06 'k' kilo 1E+03 'h' hecto 1E+02 'e' deca (deka) 1E+01 'd' deci 1E-01 'c' centi 1E-02 'm' milli 1E-03 'u' micro 1E-06 'n' nano 1E-09 'p' pico 1E-12 'f' femto 1E-15 'a' atto 1E-18 'z' zepto 1E-21 'y' yocto 1E-24 If from and to are different types, CONVERT returns #N/A! This function is Excel compatible (except "picapt"). This function is OpenFormula compatible. DEC2BIN DEC2BIN binary representation of the decimal number x DEC2BIN(x,places) x: integer (− 513 < x < 512) places: number of digits If places is given and x is non-negative, DEC2BIN pads the result with zeros to achieve exactly places digits. If this is not possible, DEC2BIN returns #NUM! If places is given and x is negative, places is ignored. If x < − 512 or x > 511, DEC2BIN returns #NUM! This function is Excel compatible. This function is OpenFormula compatible. BIN2DEC, DEC2OCT, DEC2HEX. DEC2HEX DEC2HEX hexadecimal representation of the decimal number x DEC2HEX(x,places) x: integer places: number of digits If places is given, DEC2HEX pads the result with zeros to achieve exactly places digits. If this is not possible, DEC2HEX returns #NUM! This function is Excel compatible. HEX2DEC, DEC2BIN, DEC2OCT. DEC2OCT DEC2OCT octal representation of the decimal number x DEC2OCT(x,places) x: integer places: number of digits If places is given, DEC2OCT pads the result with zeros to achieve exactly places digits. If this is not possible, DEC2OCT returns #NUM! This function is Excel compatible. OCT2DEC, DEC2BIN, DEC2HEX. DECIMAL DECIMAL decimal representation of x DECIMAL(x,base) x: number in base base base: base of x, (2 ≤ base ≤ 36) This function is OpenFormula compatible. BASE. DELTA DELTA Kronecker delta function DELTA(x0,x1) x0: number x1: number, defaults to 0 DELTA returns 1 if x1 = x0 and 0 otherwise. If either argument is non-numeric, #VALUE! is returned. This function is Excel compatible. EXACT, GESTEP. ERF ERF Gauss error function ERF(lower,upper) lower: lower limit of the integral, defaults to 0 upper: upper limit of the integral ERF returns 2/sqrt(π)* integral from lower to upper of exp(-t*t) dt This function is Excel compatible if two arguments are supplied and neither is negative. ERFC. ERFC ERFC Complementary Gauss error function ERFC(x) x: number ERFC returns 2/sqrt(π)* integral from x to ∞ of exp(-t*t) dt ERF. GESTEP GESTEP step function with step at x1 evaluated at x0 GESTEP(x0,x1) x0: number x1: number, defaults to 0 GESTEP returns 1 if x1 ≤ x0 and 0 otherwise. If either argument is non-numeric, #VALUE! is returned. This function is Excel compatible. DELTA. HEX2BIN HEX2BIN binary representation of the hexadecimal number x HEX2BIN(x,places) x: a hexadecimal number, either as a string or as a number if no A to F are needed places: number of digits If places is given, HEX2BIN pads the result with zeros to achieve exactly places digits. If this is not possible, HEX2BIN returns #NUM! This function is Excel compatible. BIN2HEX, HEX2OCT, HEX2DEC. HEX2DEC HEX2DEC decimal representation of the hexadecimal number x HEX2DEC(x) x: a hexadecimal number, either as a string or as a number if no A to F are needed This function is Excel compatible. DEC2HEX, HEX2BIN, HEX2OCT. HEX2OCT HEX2OCT octal representation of the hexadecimal number x HEX2OCT(x,places) x: a hexadecimal number, either as a string or as a number if no A to F are needed places: number of digits If places is given, HEX2OCT pads the result with zeros to achieve exactly places digits. If this is not possible, HEX2OCT returns #NUM! This function is Excel compatible. OCT2HEX, HEX2BIN, HEX2DEC. HEXREP HEXREP hexadecimal representation of numeric value HEXREP(x) x: number HEXREP returns a hexadecimal string representation of x. This is a function meant for debugging. The layout of the result may change and even depend on how Gnumeric was compiled. INVSUMINV INVSUMINV the reciprocal of the sum of reciprocals of the arguments INVSUMINV(x0,x1,…) x0: non-negative number x1: non-negative number INVSUMINV sum calculates the reciprocal (the inverse) of the sum of reciprocals (inverses) of all its arguments. If any of the arguments is negative, #VALUE! is returned. If any argument is zero, the result is zero. HARMEAN. OCT2BIN OCT2BIN binary representation of the octal number x OCT2BIN(x,places) x: a octal number, either as a string or as a number places: number of digits If places is given, OCT2BIN pads the result with zeros to achieve exactly places digits. If this is not possible, OCT2BIN returns #NUM! This function is Excel compatible. BIN2OCT, OCT2DEC, OCT2HEX. OCT2DEC OCT2DEC decimal representation of the octal number x OCT2DEC(x) x: a octal number, either as a string or as a number This function is Excel compatible. DEC2OCT, OCT2BIN, OCT2HEX. OCT2HEX OCT2HEX hexadecimal representation of the octal number x OCT2HEX(x,places) x: a octal number, either as a string or as a number places: number of digits If places is given, OCT2HEX pads the result with zeros to achieve exactly places digits. If this is not possible, OCT2HEX returns #NUM! This function is Excel compatible. HEX2OCT, OCT2BIN, OCT2DEC. DIMCIRC DIMCIRC number of circuits required DIMCIRC(traffic,gos) traffic: number of calls gos: grade of service DIMCIRC returns the number of circuits required given traffic calls with grade of service gos. OFFCAP, OFFTRAF, PROBBLOCK. OFFCAP OFFCAP traffic capacity OFFCAP(circuits,gos) circuits: number of circuits gos: grade of service OFFCAP returns the traffic capacity given circuits circuits with grade of service gos. DIMCIRC, OFFTRAF, PROBBLOCK. OFFTRAF OFFTRAF predicted number of offered calls OFFTRAF(traffic,circuits) traffic: number of carried calls circuits: number of circuits OFFTRAF returns the predicted number of offered calls given traffic carried calls (taken from measurements) on circuits circuits. traffic cannot exceed circuits. PROBBLOCK, DIMCIRC, OFFCAP. PROBBLOCK PROBBLOCK probability of blocking PROBBLOCK(traffic,circuits) traffic: number of calls circuits: number of circuits PROBBLOCK returns probability of blocking when traffic calls load into circuits circuits. traffic cannot exceed circuits. OFFTRAF, DIMCIRC, OFFCAP. ACCRINT ACCRINT accrued interest ACCRINT(issue,first_interest,settlement,rate,par,frequency,basis,calc_method) issue: date of issue first_interest: date of first interest payment settlement: settlement date rate: nominal annual interest rate par: par value, defaults to $1000 frequency: number of interest payments per year basis: calendar basis, defaults to 0 calc_method: calculation method, defaults to TRUE If first_interest < settlement and calc_method is TRUE, then ACCRINT returns the sum of the interest accrued in all coupon periods from issue date until settlement date. If first_interest < settlement and calc_method is FALSE, then ACCRINT returns the sum of the interest accrued in all coupon periods from first_interest date until settlement date. Otherwise ACCRINT returns the sum of the interest accrued in all coupon periods from issue date until settlement date. frequency must be one of 1, 2 or 4, but the exact value does not affect the result. issue must precede both first_interest and settlement. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. ACCRINTM. ACCRINTM ACCRINTM accrued interest ACCRINTM(issue,maturity,rate,par,basis) issue: date of issue maturity: maturity date rate: nominal annual interest rate par: par value basis: calendar basis ACCRINTM calculates the accrued interest from issue to maturity. par defaults to $1000. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. ACCRINT. AMORDEGRC AMORDEGRC depreciation of an asset using French accounting conventions AMORDEGRC(cost,purchase_date,first_period,salvage,period,rate,basis) cost: initial cost of asset purchase_date: date of purchase first_period: end of first period salvage: value after depreciation period: subject period rate: depreciation rate basis: calendar basis AMORDEGRC calculates the depreciation of an asset using French accounting conventions. Assets purchased in the middle of a period take prorated depreciation into account. This is similar to AMORLINC, except that a depreciation coefficient is applied in the calculation depending on the life of the assets. The depreciation coefficient used is: 1.0 for an expected lifetime less than 3 years, 1.5 for an expected lifetime of at least 3 years but less than 5 years, 2.0 for an expected lifetime of at least 5 years but at most 6 years, 2.5 for an expected lifetime of more than 6 years. Special depreciation rules are applied for the last two periods resulting in a possible total depreciation exceeding the difference of cost - salvage. Named for AMORtissement DEGRessif Comptabilite. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. AMORLINC. AMORLINC AMORLINC depreciation of an asset using French accounting conventions AMORLINC(cost,purchase_date,first_period,salvage,period,rate,basis) cost: initial cost of asset purchase_date: date of purchase first_period: end of first period salvage: value after depreciation period: subject period rate: depreciation rate basis: calendar basis AMORLINC calculates the depreciation of an asset using French accounting conventions. Assets purchased in the middle of a period take prorated depreciation into account. Named for AMORtissement LINeaire Comptabilite. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. AMORDEGRC. COUPDAYBS COUPDAYBS number of days from coupon period to settlement COUPDAYBS(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPDAYBS calculates the number of days from the beginning of the coupon period to the settlement date. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPDAYS. COUPDAYS COUPDAYS number of days in the coupon period of the settlement date COUPDAYS(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPDAYS calculates the number of days in the coupon period of the settlement date. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPDAYBS, COUPDAYSNC. COUPDAYSNC COUPDAYSNC number of days from the settlement date to the next coupon period COUPDAYSNC(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPDAYSNC calculates number of days from the settlement date to the next coupon period. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPDAYS, COUPDAYBS. COUPNCD COUPNCD the next coupon date after settlement COUPNCD(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPNCD calculates the coupon date following settlement. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPPCD, COUPDAYS, COUPDAYBS. COUPNUM COUPNUM number of coupons COUPNUM(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPNUM calculates the number of coupons to be paid between the settlement and maturity dates, rounded up. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPNCD, COUPPCD. COUPPCD COUPPCD the last coupon date before settlement COUPPCD(settlement,maturity,frequency,basis,eom) settlement: settlement date maturity: maturity date frequency: number of interest payments per year basis: calendar basis eom: end-of-month flag COUPPCD calculates the coupon date preceding settlement. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. COUPNCD, COUPDAYS, COUPDAYBS. CUM_BIV_NORM_DIST CUM_BIV_NORM_DIST cumulative bivariate normal distribution CUM_BIV_NORM_DIST(a,b,rho) a: limit for first random variable b: limit for second random variable rho: correlation of the two random variables CUM_BIV_NORM_DIST calculates the probability that two standard normal distributed random variables with correlation rho are respectively each less than a and b. CUMIPMT CUMIPMT cumulative interest payment CUMIPMT(rate,nper,pv,start_period,end_period,type) rate: interest rate per period nper: number of periods pv: present value start_period: first period to accumulate for end_period: last period to accumulate for type: payment type CUMIPMT calculates the cumulative interest paid on a loan from start_period to end_period. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. IPMT. CUMPRINC CUMPRINC cumulative principal CUMPRINC(rate,nper,pv,start_period,end_period,type) rate: interest rate per period nper: number of periods pv: present value start_period: first period to accumulate for end_period: last period to accumulate for type: payment type CUMPRINC calculates the cumulative principal paid on a loan from start_period to end_period. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. PPMT. DB DB depreciation of an asset DB(cost,salvage,life,period,month) cost: initial cost of asset salvage: value after depreciation life: number of periods period: subject period month: number of months in first year of depreciation DB calculates the depreciation of an asset for a given period using the fixed-declining balance method. DDB, SLN, SYD. DDB DDB depreciation of an asset DDB(cost,salvage,life,period,factor) cost: initial cost of asset salvage: value after depreciation life: number of periods period: subject period factor: factor at which the balance declines DDB calculates the depreciation of an asset for a given period using the double-declining balance method. DB, SLN, SYD. DISC DISC discount rate DISC(settlement,maturity,par,redemption,basis) settlement: settlement date maturity: maturity date par: price per $100 face value redemption: amount received at maturity basis: calendar basis DISC calculates the discount rate for a security. redemption is the redemption value per $100 face value. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. PRICEMAT. DOLLARDE DOLLARDE convert to decimal dollar amount DOLLARDE(fractional_dollar,fraction) fractional_dollar: amount to convert fraction: denominator DOLLARDE converts a fractional dollar amount into a decimal amount. This is the inverse of the DOLLARFR function. DOLLARFR. DOLLARFR DOLLARFR convert to dollar fraction DOLLARFR(decimal_dollar,fraction) decimal_dollar: amount to convert fraction: denominator DOLLARFR converts a decimal dollar amount into a fractional amount which is represented as the digits after the decimal point. For example, 2/8 would be represented as .2 while 3/16 would be represented as .03. This is the inverse of the DOLLARDE function. DOLLARDE. DURATION DURATION the (Macaulay) duration of a security DURATION(settlement,maturity,coupon,yield,frequency,basis) settlement: settlement date maturity: maturity date coupon: annual coupon rate yield: annual yield of security frequency: number of interest payments per year basis: calendar basis DURATION calculates the (Macaulay) duration of a security. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. MDURATION, G_DURATION. EFFECT EFFECT effective interest rate EFFECT(rate,nper) rate: nominal annual interest rate nper: number of periods used for compounding EFFECT calculates the effective interest rate using the formula (1+rate/nper)^nper-1. NOMINAL. EURO EURO equivalent of 1 EUR EURO(currency) currency: three-letter currency code EURO calculates the national currency amount corresponding to 1 EUR for any of the national currencies that were replaced by the Euro on its introduction. currency must be one of ATS (Austria), BEF (Belgium), CYP (Cyprus), DEM (Germany), EEK (Estonia), ESP (Spain), EUR (Euro), FIM (Finland), FRF (France), GRD (Greece), IEP (Ireland), ITL (Italy), LUF (Luxembourg), MTL (Malta), NLG (The Netherlands), PTE (Portugal), SIT (Slovenia), or SKK (Slovakia). This function is not likely to be useful anymore. EUROCONVERT. EUROCONVERT EUROCONVERT pre-Euro amount from one currency to another EUROCONVERT(n,source,target,full_precision,triangulation_precision) n: amount source: three-letter source currency code target: three-letter target currency code full_precision: whether to provide the full precision; defaults to false triangulation_precision: number of digits (at least 3) to be rounded to after conversion of the source currency to euro; defaults to no rounding EUROCONVERT converts n units of currency source to currency target. The rates used are the official ones used on the introduction of the Euro. If full_precision is true, the result is not rounded; if it false the result is rounded to 0 or 2 decimals depending on the target currency; defaults to false. source and target must be one of the currencies listed for the EURO function. This function is not likely to be useful anymore. EURO. FV FV future value FV(rate,nper,pmt,pv,type) rate: effective interest rate per period nper: number of periods pmt: payment at each period pv: present value type: payment type FV calculates the future value of pv moved nper periods into the future, assuming a periodic payment of pmt and an interest rate of rate per period. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. PV. FVSCHEDULE FVSCHEDULE future value FVSCHEDULE(principal,schedule) principal: initial value schedule: range of interest rates FVSCHEDULE calculates the future value of principal after applying a range of interest rates with compounding. FV. G_DURATION G_DURATION the duration of a investment G_DURATION(rate,pv,fv) rate: effective annual interest rate pv: present value fv: future value G_DURATION calculates the number of periods needed for an investment to attain a desired value. G_DURATION is the OpenFormula function PDURATION. FV, PV, DURATION, MDURATION. INTRATE INTRATE interest rate INTRATE(settlement,maturity,investment,redemption,basis) settlement: settlement date maturity: maturity date investment: amount paid on settlement redemption: amount received at maturity basis: calendar basis INTRATE calculates the interest of a fully vested security. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. RECEIVED. IPMT IPMT interest payment for period IPMT(rate,per,nper,pv,fv,type) rate: effective annual interest rate per: period number nper: number of periods pv: present value fv: future value type: payment type IPMT calculates the interest part of an annuity's payment for period number per. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. PPMT. IRR IRR internal rate of return IRR(values,guess) values: cash flow guess: an estimate of what the result should be IRR calculates the internal rate of return of a cash flow with periodic payments. values lists the payments (negative values) and receipts (positive values) for each period. The optional guess is needed because there can be more than one valid result. It defaults to 10%. XIRR. ISPMT ISPMT interest payment for period ISPMT(rate,per,nper,pv) rate: effective annual interest rate per: period number nper: number of periods pv: present value ISPMT calculates the interest payment for period number per. PV. MDURATION MDURATION the modified (Macaulay) duration of a security MDURATION(settlement,maturity,coupon,yield,frequency,basis) settlement: settlement date maturity: maturity date coupon: annual coupon rate yield: annual yield of security frequency: number of interest payments per year basis: calendar basis MDURATION calculates the modified (Macaulay) duration of a security. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. DURATION, G_DURATION. MIRR MIRR modified internal rate of return MIRR(values,finance_rate,reinvest_rate) values: cash flow finance_rate: interest rate for financing cost reinvest_rate: interest rate for reinvestments MIRR calculates the modified internal rate of return of a periodic cash flow. IRR, XIRR. NOMINAL NOMINAL nominal interest rate NOMINAL(rate,nper) rate: effective annual interest rate nper: number of periods used for compounding NOMINAL calculates the nominal interest rate from the effective rate. EFFECT. NPER NPER number of periods NPER(rate,pmt,pv,fv,type) rate: effective annual interest rate pmt: payment at each period pv: present value fv: future value type: payment type NPER calculates the number of periods of an investment based on periodic constant payments and a constant interest rate. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. PV, FV. NPV NPV net present value NPV(rate,value1,value2,…) rate: effective interest rate per period value1: cash flow for period 1 value2: cash flow for period 2 NPV calculates the net present value of a cash flow. PV. ODDFPRICE ODDFPRICE price of a security that has an odd first period ODDFPRICE(settlement,maturity,issue,first_interest,rate,yield,redemption,frequency,basis) settlement: settlement date maturity: maturity date issue: date of issue first_interest: first interest date rate: nominal annual interest rate yield: annual yield of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis ODDFPRICE calculates the price per $100 face value of a security that pays periodic interest, but has an odd first period. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. ODDLPRICE, ODDFYIELD. ODDFYIELD ODDFYIELD yield of a security that has an odd first period ODDFYIELD(settlement,maturity,issue,first_interest,rate,price,redemption,frequency,basis) settlement: settlement date maturity: maturity date issue: date of issue first_interest: first interest date rate: nominal annual interest rate price: price of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis ODDFYIELD calculates the yield of a security that pays periodic interest, but has an odd first period. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. ODDFPRICE, ODDLYIELD. ODDLPRICE ODDLPRICE price of a security that has an odd last period ODDLPRICE(settlement,maturity,last_interest,rate,yield,redemption,frequency,basis) settlement: settlement date maturity: maturity date last_interest: last interest date rate: nominal annual interest rate yield: annual yield of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis ODDLPRICE calculates the price per $100 face value of a security that pays periodic interest, but has an odd last period. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. YIELD, DURATION. ODDLYIELD ODDLYIELD yield of a security that has an odd last period ODDLYIELD(settlement,maturity,last_interest,rate,price,redemption,frequency,basis) settlement: settlement date maturity: maturity date last_interest: last interest date rate: nominal annual interest rate price: price of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis ODDLYIELD calculates the yield of a security that pays periodic interest, but has an odd last period. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. YIELD, DURATION. OPT_2_ASSET_CORRELATION OPT_2_ASSET_CORRELATION theoretical price of options on 2 assets with correlation rho OPT_2_ASSET_CORRELATION(call_put_flag,spot1,spot2,strike1,strike2,time,cost_of_carry1,cost_of_carry2,rate,volatility1,volatility2,rho) call_put_flag: 'c' for a call and 'p' for a put spot1: spot price of the underlying asset of the first option spot2: spot price of the underlying asset of the second option strike1: strike prices of the first option strike2: strike prices of the second option time: time to maturity in years cost_of_carry1: net cost of holding the underlying asset of the first option (for common stocks, the risk free rate less the dividend yield) cost_of_carry2: net cost of holding the underlying asset of the second option (for common stocks, the risk free rate less the dividend yield) rate: annualized risk-free interest rate volatility1: annualized volatility in price of the underlying asset of the first option volatility2: annualized volatility in price of the underlying asset of the second option rho: correlation between the two underlying assets OPT_2_ASSET_CORRELATION models the theoretical price of options on 2 assets with correlation rho. The payoff for a call is max(spot2 - strike2,0) if spot1 > strike1 or 0 otherwise. The payoff for a put is max (strike2 - spot2, 0) if spot1 < strike1 or 0 otherwise. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_AMER_EXCHANGE OPT_AMER_EXCHANGE theoretical price of an American option to exchange assets OPT_AMER_EXCHANGE(spot1,spot2,qty1,qty2,time,rate,cost_of_carry1,cost_of_carry2,volatility1,volatility2,rho) spot1: spot price of asset 1 spot2: spot price of asset 2 qty1: quantity of asset 1 qty2: quantity of asset 2 time: time to maturity in years rate: annualized risk-free interest rate cost_of_carry1: net cost of holding asset 1 (for common stocks, the risk free rate less the dividend yield) cost_of_carry2: net cost of holding asset 2 (for common stocks, the risk free rate less the dividend yield) volatility1: annualized volatility in price of asset 1 volatility2: annualized volatility in price of asset 2 rho: correlation between the prices of the two assets OPT_AMER_EXCHANGE models the theoretical price of an American option to exchange one asset with quantity qty2 and spot price spot2 for another with quantity qty1 and spot price spot1. OPT_EURO_EXCHANGE, OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_BAW_AMER OPT_BAW_AMER theoretical price of an option according to the Barone Adesie & Whaley approximation OPT_BAW_AMER(call_put_flag,spot,strike,time,rate,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in days rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_BINOMIAL OPT_BINOMIAL theoretical price of either an American or European style option using a binomial tree OPT_BINOMIAL(amer_euro_flag,call_put_flag,num_time_steps,spot,strike,time,rate,volatility,cost_of_carry) amer_euro_flag: 'a' for an American style option or 'e' for a European style option call_put_flag: 'c' for a call and 'p' for a put num_time_steps: number of time steps used in the valuation spot: spot price strike: strike price time: time to maturity in years rate: annualized risk-free interest rate volatility: annualized volatility of the asset cost_of_carry: net cost of holding the underlying asset A larger num_time_steps yields greater accuracy but OPT_BINOMIAL is slower to calculate. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_BJER_STENS OPT_BJER_STENS theoretical price of American options according to the Bjerksund & Stensland approximation technique OPT_BJER_STENS(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in days rate: annualized risk-free interest rate volatility: annualized volatility of the asset cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_BS OPT_BS price of a European option OPT_BS(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS uses the Black-Scholes model to calculate the price of a European option struck at strike on an asset with spot price spot. The returned value will be expressed in the same units as strike and spot. OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA. OPT_BS_CARRYCOST OPT_BS_CARRYCOST elasticity of a European option OPT_BS_CARRYCOST(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_CARRYCOST uses the Black-Scholes model to calculate the 'elasticity' of a European option struck at strike on an asset with spot price spot. The elasticity of an option is the rate of change of its price with respect to its cost_of_carry. Elasticity is expressed as the rate of change of the option value, per 100% volatility. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_BS_DELTA OPT_BS_DELTA delta of a European option OPT_BS_DELTA(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_DELTA uses the Black-Scholes model to calculate the 'delta' of a European option struck at strike on an asset with spot price spot. The returned value will be expressed in the same units as strike and spot. OPT_BS, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA. OPT_BS_GAMMA OPT_BS_GAMMA gamma of a European option OPT_BS_GAMMA(spot,strike,time,rate,volatility,cost_of_carry) spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_GAMMA uses the Black-Scholes model to calculate the 'gamma' of a European option struck at strike on an asset with spot price spot. The gamma of an option is the second derivative of its price with respect to the price of the underlying asset. Gamma is expressed as the rate of change of delta per unit change in spot. Gamma is the same for calls and puts. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_VEGA. OPT_BS_RHO OPT_BS_RHO rho of a European option OPT_BS_RHO(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_RHO uses the Black-Scholes model to calculate the 'rho' of a European option struck at strike on an asset with spot price spot. The rho of an option is the rate of change of its price with respect to the risk free interest rate. Rho is expressed as the rate of change of the option value, per 100% change in rate. OPT_BS, OPT_BS_DELTA, OPT_BS_THETA, OPT_BS_VEGA, OPT_BS_GAMMA. OPT_BS_THETA OPT_BS_THETA theta of a European option OPT_BS_THETA(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_THETA uses the Black-Scholes model to calculate the 'theta' of a European option struck at strike on an asset with spot price spot. The theta of an option is the rate of change of its price with respect to time to expiry. Theta is expressed as the negative of the rate of change of the option value, per 365.25 days. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_VEGA, OPT_BS_GAMMA. OPT_BS_VEGA OPT_BS_VEGA vega of a European option OPT_BS_VEGA(spot,strike,time,rate,volatility,cost_of_carry) spot: spot price strike: strike price time: time to maturity in years rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_BS_VEGA uses the Black-Scholes model to calculate the 'vega' of a European option struck at strike on an asset with spot price spot. The vega of an option is the rate of change of its price with respect to volatility. Vega is the same for calls and puts. Vega is expressed as the rate of change of option value, per 100% volatility. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_COMPLEX_CHOOSER OPT_COMPLEX_CHOOSER theoretical price of a complex chooser option OPT_COMPLEX_CHOOSER(spot,strike_call,strike_put,time,time_call,time_put,rate,cost_of_carry,volatility) spot: spot price strike_call: strike price, if exercised as a call option strike_put: strike price, if exercised as a put option time: time in years until the holder chooses a put or a call option time_call: time in years to maturity of the call option if chosen time_put: time in years to maturity of the put option if chosen rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset in percent for the period through to the exercise date OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_EURO_EXCHANGE OPT_EURO_EXCHANGE theoretical price of a European option to exchange assets OPT_EURO_EXCHANGE(spot1,spot2,qty1,qty2,time,rate,cost_of_carry1,cost_of_carry2,volatility1,volatility2,rho) spot1: spot price of asset 1 spot2: spot price of asset 2 qty1: quantity of asset 1 qty2: quantity of asset 2 time: time to maturity in years rate: annualized risk-free interest rate cost_of_carry1: net cost of holding asset 1 (for common stocks, the risk free rate less the dividend yield) cost_of_carry2: net cost of holding asset 2 (for common stocks, the risk free rate less the dividend yield) volatility1: annualized volatility in price of asset 1 volatility2: annualized volatility in price of asset 2 rho: correlation between the prices of the two assets OPT_EURO_EXCHANGE models the theoretical price of a European option to exchange one asset with quantity qty2 and spot price spot2 for another with quantity qty1 and spot price spot1. OPT_AMER_EXCHANGE, OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_EXEC OPT_EXEC theoretical price of executive stock options OPT_EXEC(call_put_flag,spot,strike,time,rate,volatility,cost_of_carry,lambda) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in days rate: annualized risk-free interest rate volatility: annualized volatility of the asset cost_of_carry: net cost of holding the underlying asset lambda: jump rate for executives The model assumes executives forfeit their options if they leave the company. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_EXTENDIBLE_WRITER OPT_EXTENDIBLE_WRITER theoretical price of extendible writer options OPT_EXTENDIBLE_WRITER(call_put_flag,spot,strike1,strike2,time1,time2,rate,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike1: strike price at which the option is struck strike2: strike price at which the option is re-struck if out of the money at time1 time1: initial maturity of the option in years time2: extended maturity in years if chosen rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_EXTENDIBLE_WRITER models the theoretical price of extendible writer options. These are options that have their maturity extended to time2 if the option is out of the money at time1. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_FIXED_STRK_LKBK OPT_FIXED_STRK_LKBK theoretical price of a fixed-strike lookback option OPT_FIXED_STRK_LKBK(call_put_flag,spot,spot_min,spot_max,strike,time,rate,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price spot_min: minimum spot price of the underlying asset so far observed spot_max: maximum spot price of the underlying asset so far observed strike: strike price time: time to maturity in years rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_FIXED_STRK_LKBK determines the theoretical price of a fixed-strike lookback option where the holder of the option may exercise on expiry at the most favourable price observed during the options life of the underlying asset. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_FLOAT_STRK_LKBK OPT_FLOAT_STRK_LKBK theoretical price of floating-strike lookback option OPT_FLOAT_STRK_LKBK(call_put_flag,spot,spot_min,spot_max,time,rate,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price spot_min: minimum spot price of the underlying asset so far observed spot_max: maximum spot price of the underlying asset so far observed time: time to maturity in years rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_FLOAT_STRK_LKBK determines the theoretical price of a floating-strike lookback option where the holder of the option may exercise on expiry at the most favourable price observed during the options life of the underlying asset. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_FORWARD_START OPT_FORWARD_START theoretical price of forward start options OPT_FORWARD_START(call_put_flag,spot,alpha,time_start,time,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price alpha: fraction setting the strike price at the future date time_start time_start: time until the option starts in days time: time to maturity in days rate: annualized risk-free interest rate volatility: annualized volatility of the asset cost_of_carry: net cost of holding the underlying asset OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_FRENCH OPT_FRENCH theoretical price of a European option adjusted for trading day volatility OPT_FRENCH(call_put_flag,spot,strike,time,ttime,rate,volatility,cost_of_carry) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: ratio of the number of calendar days to exercise and the number of calendar days in the year ttime: ratio of the number of trading days to exercise and the number of trading days in the year rate: risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date cost_of_carry: net cost of holding the underlying asset (for common stocks, the risk free rate less the dividend yield), defaults to 0 OPT_FRENCH values the theoretical price of a European option adjusted for trading day volatility, struck at strike on an asset with spot price spot. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_GARMAN_KOHLHAGEN OPT_GARMAN_KOHLHAGEN theoretical price of a European currency option OPT_GARMAN_KOHLHAGEN(call_put_flag,spot,strike,time,domestic_rate,foreign_rate,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: number of days to exercise domestic_rate: domestic risk-free interest rate to the exercise date in percent foreign_rate: foreign risk-free interest rate to the exercise date in percent volatility: annualized volatility of the asset in percent for the period through to the exercise date OPT_GARMAN_KOHLHAGEN values the theoretical price of a European currency option struck at strike on an asset with spot price spot. OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_JUMP_DIFF OPT_JUMP_DIFF theoretical price of an option according to the Jump Diffusion process OPT_JUMP_DIFF(call_put_flag,spot,strike,time,rate,volatility,lambda,gamma) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time: time to maturity in years rate: the annualized rate of interest volatility: annualized volatility of the asset in percent for the period through to the exercise date lambda: expected number of 'jumps' per year gamma: proportion of volatility explained by the 'jumps' OPT_JUMP_DIFF models the theoretical price of an option according to the Jump Diffusion process (Merton). OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_MILTERSEN_SCHWARTZ OPT_MILTERSEN_SCHWARTZ theoretical price of options on commodities futures according to Miltersen & Schwartz OPT_MILTERSEN_SCHWARTZ(call_put_flag,p_t,f_t,strike,t1,t2,v_s,v_e,v_f,rho_se,rho_sf,rho_ef,kappa_e,kappa_f) call_put_flag: 'c' for a call and 'p' for a put p_t: zero coupon bond with expiry at option maturity f_t: futures price strike: strike price t1: time to maturity of the option t2: time to maturity of the underlying commodity futures contract v_s: volatility of the spot commodity price v_e: volatility of the future convenience yield v_f: volatility of the forward rate of interest rho_se: correlation between the spot commodity price and the convenience yield rho_sf: correlation between the spot commodity price and the forward interest rate rho_ef: correlation between the forward interest rate and the convenience yield kappa_e: speed of mean reversion of the convenience yield kappa_f: speed of mean reversion of the forward interest rate OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_ON_OPTIONS OPT_ON_OPTIONS theoretical price of options on options OPT_ON_OPTIONS(type_flag,spot,strike1,strike2,time1,time2,rate,cost_of_carry,volatility) type_flag: 'cc' for calls on calls, 'cp' for calls on puts, and so on for 'pc', and 'pp' spot: spot price strike1: strike price at which the option being valued is struck strike2: strike price at which the underlying option is struck time1: time in years to maturity of the option time2: time in years to the maturity of the underlying option rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset of the underlying option volatility: annualized volatility in price of the underlying asset of the underlying option For common stocks, cost_of_carry is the risk free rate less the dividend yield. time2 ≥ time1 OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_RGW OPT_RGW theoretical price of an American option according to the Roll-Geske-Whaley approximation OPT_RGW(spot,strike,time_payout,time_exp,rate,d,volatility) spot: spot price strike: strike price time_payout: time to dividend payout time_exp: time to expiration rate: annualized interest rate d: amount of the dividend to be paid expressed in currency volatility: annualized volatility of the asset in percent for the period through to the exercise date OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_SIMPLE_CHOOSER OPT_SIMPLE_CHOOSER theoretical price of a simple chooser option OPT_SIMPLE_CHOOSER(call_put_flag,spot,strike,time1,time2,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price time1: time in years until the holder chooses a put or a call option time2: time in years until the chosen option expires cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_SPREAD_APPROX OPT_SPREAD_APPROX theoretical price of a European option on the spread between two futures contracts OPT_SPREAD_APPROX(call_put_flag,fut_price1,fut_price2,strike,time,rate,volatility1,volatility2,rho) call_put_flag: 'c' for a call and 'p' for a put fut_price1: price of the first futures contract fut_price2: price of the second futures contract strike: strike price time: time to maturity in years rate: annualized risk-free interest rate volatility1: annualized volatility in price of the first underlying futures contract volatility2: annualized volatility in price of the second underlying futures contract rho: correlation between the two futures contracts OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. OPT_TIME_SWITCH OPT_TIME_SWITCH theoretical price of time switch options OPT_TIME_SWITCH(call_put_flag,spot,strike,a,time,m,dt,rate,cost_of_carry,volatility) call_put_flag: 'c' for a call and 'p' for a put spot: spot price strike: strike price a: amount received for each time period time: time to maturity in years m: number of time units the option has already met the condition dt: agreed upon discrete time period expressed as a fraction of a year rate: annualized risk-free interest rate cost_of_carry: net cost of holding the underlying asset volatility: annualized volatility of the asset OPT_TIME_SWITCH models the theoretical price of time switch options. (Pechtl 1995). The holder receives a * dt for each period that the asset price was greater than strike (for a call) or below it (for a put). OPT_BS, OPT_BS_DELTA, OPT_BS_RHO, OPT_BS_THETA, OPT_BS_GAMMA. PMT PMT payment for annuity PMT(rate,nper,pv,fv,type) rate: effective annual interest rate nper: number of periods pv: present value fv: future value type: payment type PMT calculates the payment amount for an annuity. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. PV, FV, RATE, ISPMT. PPMT PPMT interest payment for period PPMT(rate,per,nper,pv,fv,type) rate: effective annual interest rate per: period number nper: number of periods pv: present value fv: future value type: payment type PPMT calculates the principal part of an annuity's payment for period number per. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. IPMT. PRICE PRICE price of a security PRICE(settlement,maturity,rate,yield,redemption,frequency,basis) settlement: settlement date maturity: maturity date rate: nominal annual interest rate yield: annual yield of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis PRICE calculates the price per $100 face value of a security that pays periodic interest. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. YIELD, DURATION. PRICEDISC PRICEDISC discounted price PRICEDISC(settlement,maturity,discount,redemption,basis) settlement: settlement date maturity: maturity date discount: annual rate at which to discount redemption: amount received at maturity basis: calendar basis PRICEDISC calculates the price per $100 face value of a bond that does not pay interest at maturity. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. PRICEMAT. PRICEMAT PRICEMAT price at maturity PRICEMAT(settlement,maturity,issue,discount,yield,basis) settlement: settlement date maturity: maturity date issue: date of issue discount: annual rate at which to discount yield: annual yield of security basis: calendar basis PRICEMAT calculates the price per $100 face value of a bond that pays interest at maturity. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. PRICEDISC. PV PV present value PV(rate,nper,pmt,fv,type) rate: effective interest rate per period nper: number of periods pmt: payment at each period fv: future value type: payment type PV calculates the present value of fv which is nper periods into the future, assuming a periodic payment of pmt and an interest rate of rate per period. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. FV. RATE RATE rate of investment RATE(nper,pmt,pv,fv,type,guess) nper: number of periods pmt: payment at each period pv: present value fv: future value type: payment type guess: an estimate of what the result should be RATE calculates the rate of return. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. The optional guess is needed because there can be more than one valid result. It defaults to 10%. PV, FV. RECEIVED RECEIVED amount to be received at maturity RECEIVED(settlement,maturity,investment,rate,basis) settlement: settlement date maturity: maturity date investment: amount paid on settlement rate: nominal annual interest rate basis: calendar basis RECEIVED calculates the amount to be received when a security matures. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. INTRATE. RRI RRI equivalent interest rate for an investment increasing in value RRI(p,pv,fv) p: number of periods pv: present value fv: future value RRI determines an equivalent interest rate for an investment that increases in value. The interest is compounded after each complete period. If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. Note that p need not be an integer but for fractional value the calculated rate is only approximate. This function is OpenFormula compatible. PV, FV, RATE. SLN SLN depreciation of an asset SLN(cost,salvage,life) cost: initial cost of asset salvage: value after depreciation life: number of periods SLN calculates the depreciation of an asset using the straight-line method. DB, DDB, SYD. SYD SYD sum-of-years depreciation SYD(cost,salvage,life,period) cost: initial cost of asset salvage: value after depreciation life: number of periods period: subject period SYD calculates the depreciation of an asset using the sum-of-years method. DB, DDB, SLN. TBILLEQ TBILLEQ bond-equivalent yield for a treasury bill TBILLEQ(settlement,maturity,discount) settlement: settlement date maturity: maturity date discount: annual rate at which to discount TBILLEQ calculates the bond-equivalent yield for a treasury bill. TBILLPRICE, TBILLYIELD. TBILLPRICE TBILLPRICE price of a treasury bill TBILLPRICE(settlement,maturity,discount) settlement: settlement date maturity: maturity date discount: annual rate at which to discount TBILLPRICE calculates the price per $100 face value for a treasury bill. TBILLEQ, TBILLYIELD. TBILLYIELD TBILLYIELD yield of a treasury bill TBILLYIELD(settlement,maturity,price) settlement: settlement date maturity: maturity date price: price TBILLYIELD calculates the yield of a treasury bill. TBILLEQ, TBILLPRICE. VDB VDB depreciation of an asset VDB(cost,salvage,life,start_period,end_period,factor,no_switch) cost: initial cost of asset salvage: value after depreciation life: number of periods start_period: first period to accumulate for end_period: last period to accumulate for factor: factor at which the balance declines no_switch: do not switch to straight-line depreciation VDB calculates the depreciation of an asset for a given period range using the variable-rate declining balance method. If no_switch is FALSE, the calculation switches to straight-line depreciation when depreciation is greater than the declining balance calculation. DB, DDB. XIRR XIRR internal rate of return XIRR(values,dates,guess) values: cash flow dates: dates of cash flow guess: an estimate of what the result should be XIRR calculates the annualized internal rate of return of a cash flow at arbitrary points in time. values lists the payments (negative values) and receipts (positive values) with one value for each entry in dates. The optional guess is needed because there can be more than one valid result. It defaults to 10%. IRR. XNPV XNPV net present value XNPV(rate,values,dates) rate: effective annual interest rate values: cash flow dates: dates of cash flow XNPV calculates the net present value of a cash flow at irregular times If type is 0, the default, payment is at the end of each period. If type is 1, payment is at the beginning of each period. NPV. YIELD YIELD yield of a security YIELD(settlement,maturity,rate,price,redemption,frequency,basis) settlement: settlement date maturity: maturity date rate: nominal annual interest rate price: price of security redemption: amount received at maturity frequency: number of interest payments per year basis: calendar basis YIELD calculates the yield of a security that pays periodic interest. frequency may be 1 (annual), 2 (semi-annual), or 4 (quarterly). If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. PRICE, DURATION. YIELDDISC YIELDDISC yield of a discounted security YIELDDISC(settlement,maturity,price,redemption,basis) settlement: settlement date maturity: maturity date price: price of security redemption: amount received at maturity basis: calendar basis YIELDDISC calculates the yield of a discounted security. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. PRICE, DURATION. YIELDMAT YIELDMAT yield of a security YIELDMAT(settlement,maturity,issue,rate,price,basis) settlement: settlement date maturity: maturity date issue: date of issue rate: nominal annual interest rate price: price of security basis: calendar basis YIELDMAT calculates the yield of a security for which the interest is paid at maturity date. If basis is 0, then the US 30/360 method is used. If basis is 1, then actual number of days is used. If basis is 2, then actual number of days is used within a month, but years are considered only 360 days. If basis is 3, then actual number of days is used within a month, but years are always considered 365 days. If basis is 4, then the European 30/360 method is used. YIELDDISC, YIELD. GNUMERIC_VERSION GNUMERIC_VERSION the current version of Gnumeric GNUMERIC_VERSION() GNUMERIC_VERSION returns the version of gnumeric as a string. CELL CELL information of type about cell CELL(type,cell) type: string specifying the type of information requested cell: cell reference type specifies the type of information you want to obtain: address Returns the given cell reference as text. col Returns the number of the column in cell. color Returns 0. contents Returns the contents of the cell in cell. column Returns the number of the column in cell. columnwidth Returns the column width. coord Returns the absolute address of cell. datatype same as type filename Returns the name of the file of cell. format Returns the code of the format of the cell. formulatype same as type locked Returns 1 if cell is locked. parentheses Returns 1 if cell contains a negative value and its format displays it with parentheses. prefix Returns a character indicating the horizontal alignment of cell. prefixcharacter same as prefix protect Returns 1 if cell is locked. row Returns the number of the row in cell. sheetname Returns the name of the sheet of cell. type Returns "l" if cell contains a string, "v" if it contains some other value, and "b" if cell is blank. value Returns the contents of the cell in cell. width Returns the column width. This function is Excel compatible. INDIRECT. COUNTBLANK COUNTBLANK the number of blank cells in range COUNTBLANK(range) range: a cell range This function is Excel compatible. COUNT. ERROR ERROR the error with the given name ERROR(name) name: string ISERROR. ERROR.TYPE ERROR.TYPE the type of error ERROR.TYPE(error) error: an error ERROR.TYPE returns an error number corresponding to the given error value. The error numbers for error values are: #DIV/0! 2 #VALUE! 3 #REF! 4 #NAME? 5 #NUM! 6 #N/A 7 This function is Excel compatible. ISERROR. EXPRESSION EXPRESSION expression in cell as a string EXPRESSION(cell) cell: a cell reference If cell contains no expression, EXPRESSION returns empty. TEXT. GET.FORMULA GET.FORMULA the formula in cell as a string GET.FORMULA(cell) cell: the referenced cell GET.FORMULA is the OpenFormula function FORMULA. EXPRESSION, ISFORMULA. GET.LINK GET.LINK the target of the hyperlink attached to cell as a string GET.LINK(cell) cell: the referenced cell The value return is not updated automatically when the link attached to cell changes but requires a recalculation. HYPERLINK. GETENV GETENV the value of execution environment variable name GETENV(name) name: the name of the environment variable If a variable called name does not exist, #N/A! will be returned. Variable names are case sensitive. INFO INFO information about the current operating environment according to type INFO(type) type: string giving the type of information requested INFO returns information about the current operating environment according to type: memavail Returns the amount of memory available, bytes. memused Returns the amount of memory used (bytes). numfile Returns the number of active worksheets. osversion Returns the operating system version. recalc Returns the recalculation mode (automatic). release Returns the version of Gnumeric as text. system Returns the name of the environment. totmem Returns the amount of total memory available. This function is Excel compatible. CELL. ISBLANK ISBLANK TRUE if value is blank ISBLANK(value) value: a value This function checks if a value is blank. Empty cells are blank, but empty strings are not. This function is Excel compatible. ISERR ISERR TRUE if value is any error value except #N/A ISERR(value) value: a value This function is Excel compatible. ISERROR. ISERROR ISERROR TRUE if value is any error value ISERROR(value) value: a value This function is Excel compatible. ISERR, ISNA. ISEVEN ISEVEN TRUE if n is even ISEVEN(n) n: number This function is Excel compatible. ISODD. ISFORMULA ISFORMULA TRUE if cell contains a formula ISFORMULA(cell) cell: the referenced cell ISFORMULA is OpenFormula compatible. GET.FORMULA. ISLOGICAL ISLOGICAL TRUE if value is a logical value ISLOGICAL(value) value: a value This function checks if a value is either TRUE or FALSE. This function is Excel compatible. ISNA ISNA TRUE if value is the #N/A error value ISNA(value) value: a value This function is Excel compatible. NA. ISNONTEXT ISNONTEXT TRUE if value is not text ISNONTEXT(value) value: a value This function is Excel compatible. ISTEXT. ISNUMBER ISNUMBER TRUE if value is a number ISNUMBER(value) value: a value This function checks if a value is a number. Neither TRUE nor FALSE are numbers for this purpose. This function is Excel compatible. ISODD ISODD TRUE if n is odd ISODD(n) n: number This function is Excel compatible. ISEVEN. ISREF ISREF TRUE if value is a reference ISREF(value,…) value: a value This function checks if a value is a cell reference. This function is Excel compatible. ISTEXT ISTEXT TRUE if value is text ISTEXT(value) value: a value This function is Excel compatible. ISNONTEXT. N N text converted to a number N(text) text: string If text contains non-numerical text, 0 is returned. This function is Excel compatible. NA NA the error value #N/A NA() This function is Excel compatible. ISNA. TYPE TYPE a number indicating the data type of value TYPE(value) value: a value TYPE returns a number indicating the data type of value: 1 = number 2 = text 4 = boolean 16 = error 64 = array This function is Excel compatible. AND AND logical conjunction AND(b0,b1,…) b0: logical value b1: logical value AND calculates the logical conjunction of its arguments b0,b1,... If an argument is numerical, zero is considered FALSE and anything else TRUE. Strings and empty values are ignored. If no logical values are provided, then the error #VALUE! is returned. This function is strict: if any argument is an error, the result will be the first such error. This function is Excel compatible. OR, NOT, IF. FALSE FALSE the value FALSE FALSE() FALSE returns the value FALSE. This function is Excel compatible. TRUE, IF. IF IF conditional expression IF(cond,trueval,falseval) cond: condition trueval: value to use if condition is true falseval: value to use if condition is false This function first evaluates the condition. If the result is true, it will then evaluate and return the second argument. Otherwise, it will evaluate and return the last argument. AND, OR, XOR, NOT, IFERROR. IFERROR IFERROR test for error IFERROR(x,y) x: value to test for error y: alternate value This function returns the first value, unless that is an error, in which case it returns the second. IF, ISERROR. IFNA IFNA test for #NA! error IFNA(x,y) x: value to test for #NA! error y: alternate value This function returns the first value, unless that is #NA!, in which case it returns the second. IF, ISERROR. NOT NOT logical negation NOT(b) b: logical value NOT calculates the logical negation of its argument. If the argument is numerical, zero is considered FALSE and anything else TRUE. Strings and empty values are ignored. This function is Excel compatible. AND, OR, IF. OR OR logical disjunction OR(b0,b1,…) b0: logical value b1: logical value OR calculates the logical disjunction of its arguments b0,b1,... If an argument is numerical, zero is considered FALSE and anything else TRUE. Strings and empty values are ignored. If no logical values are provided, then the error #VALUE! is returned. This function is strict: if any argument is an error, the result will be the first such error. This function is Excel compatible. AND, XOR, NOT, IF. TRUE TRUE the value TRUE TRUE() TRUE returns the value TRUE. This function is Excel compatible. FALSE, IF. XOR XOR logical exclusive disjunction XOR(b0,b1,…) b0: logical value b1: logical value XOR calculates the logical exclusive disjunction of its arguments b0,b1,... If an argument is numerical, zero is considered FALSE and anything else TRUE. Strings and empty values are ignored. If no logical values are provided, then the error #VALUE! is returned. This function is strict: if any argument is an error, the result will be the first such error. OR, AND, NOT, IF. ADDRESS ADDRESS cell address as text ADDRESS(row_num,col_num,abs_num,a1,text) row_num: row number col_num: column number abs_num: 1 for an absolute, 2 for a row absolute and column relative, 3 for a row relative and column absolute, and 4 for a relative reference; defaults to 1 a1: if TRUE, an A1-style reference is provided, otherwise an R1C1-style reference; defaults to TRUE text: name of the worksheet, defaults to no sheet If row_num or col_num is less than one, ADDRESS returns #VALUE! If abs_num is greater than 4 ADDRESS returns #VALUE! COLUMNNUMBER. AREAS AREAS number of areas in reference AREAS(reference,…) reference: range ADDRESS, INDEX, INDIRECT, OFFSET. ARRAY ARRAY vertical array of the arguments ARRAY(v,…) v: value TRANSPOSE. CHOOSE CHOOSE the (index+1)th argument CHOOSE(index,value1,value2,…) index: positive number value1: first value value2: second value CHOOSE returns its (index+1)th argument. index is truncated to an integer. If index < 1 or the truncated index > number of values, CHOOSE returns #VALUE! IF. COLUMN COLUMN vector of column numbers COLUMN(x) x: reference, defaults to the position of the current expression COLUMN function returns a Nx1 array containing the sequence of integers from the first column to the last column of x. If x is neither an array nor a reference nor a range, returns #VALUE! COLUMNS, ROW, ROWS. COLUMNNUMBER COLUMNNUMBER column number for the given column called name COLUMNNUMBER(name) name: column name such as "IV" If name is invalid, COLUMNNUMBER returns #VALUE! ADDRESS. COLUMNS COLUMNS number of columns in reference COLUMNS(reference) reference: array or area If reference is neither an array nor a reference nor a range, COLUMNS returns #VALUE! COLUMN, ROW, ROWS. FLIP FLIP matrix flipped FLIP(matrix,vertical) matrix: range vertical: if true, matrix is flipped vertically, otherwise horizontally; defaults to TRUE TRANSPOSE. HLOOKUP HLOOKUP search the first row of range for value HLOOKUP(value,range,row,approximate,as_index) value: search value range: range to search row: 1-based row offset indicating the return values approximate: if false, an exact match of value must be found; defaults to TRUE as_index: if true, the 0-based column offset is returned; defaults to FALSE HLOOKUP function finds the row in range that has a first cell similar to value. If approximate is not true it finds the column with an exact equality. If approximate is true, it finds the last column with first value less than or equal to value. If as_index is true the 0-based column offset is returned. If approximate is true, then the values must be sorted in order of ascending value. HLOOKUP returns #REF! if row falls outside range. VLOOKUP. HYPERLINK HYPERLINK second or first arguments HYPERLINK(link_location,label) link_location: string label: string, optional HYPERLINK function currently returns its 2nd argument, or if that is omitted the 1st argument. INDEX INDEX reference to a cell in the given array INDEX(array,row,col,area) array: cell or inline array row: desired row, defaults to 1 col: desired column, defaults to 1 area: from which area to select a cell, defaults to 1 INDEX gives a reference to a cell in the given array. The cell is selected by row and col, which count the rows and columns in the array. If the reference falls outside the range of array, INDEX returns #REF! INDIRECT INDIRECT contents of the cell pointed to by the ref_text string INDIRECT(ref_text,format) ref_text: textual reference format: if true, ref_text is given in A1-style, otherwise it is given in R1C1 style; defaults to true If ref_text is not a valid reference in the style determined by format, INDIRECT returns #REF! AREAS, INDEX, CELL. LOOKUP LOOKUP contents of vector2 at the corresponding location to value in vector1 LOOKUP(value,vector1,vector2) value: value to look up vector1: range to search: vector2: range of return values If vector1 has more rows than columns, LOOKUP searches the first row of vector1, otherwise the first column. If vector2 is omitted the return value is taken from the last row or column of vector1. If LOOKUP can't find value it uses the largest value less than value. The data must be sorted. If value is smaller than the first value it returns #N/A. If the corresponding location does not exist in vector2, it returns #N/A. VLOOKUP, HLOOKUP. MATCH MATCH the index of seek in vector MATCH(seek,vector,type) seek: value to find vector: n by 1 or 1 by n range to be searched type: +1 (the default) to find the largest value ≤ seek, 0 to find the first value = seek, or-1 to find the smallest value ≥ seek MATCH searches vector for seek and returns the 1-based index. For type = -1 the data must be sorted in descending order; for type = +1 the data must be sorted in ascending order. If seek could not be found, #N/A is returned. If vector is neither n by 1 nor 1 by n, #N/A is returned. LOOKUP. OFFSET OFFSET an offset cell range OFFSET(range,row,col,height,width) range: reference or range row: number of rows to offset range col: number of columns to offset range height: height of the offset range, defaults to height of range width: width of the offset range, defaults to width of range OFFSET returns the cell range starting at offset (row,col) from range of height height and width width. If range is neither a reference nor a range, OFFSET returns #VALUE! COLUMN, COLUMNS, ROWS, INDEX, INDIRECT, ADDRESS. ROW ROW vector of row numbers ROW(x) x: reference, defaults to the position of the current expression ROW function returns a 1xN array containing the sequence of integers from the first row to the last row of x. If x is neither an array nor a reference nor a range, returns #VALUE! COLUMN, COLUMNS, ROWS. ROWS ROWS number of rows in reference ROWS(reference) reference: array, reference, or range If reference is neither an array nor a reference nor a range, ROWS returns #VALUE! COLUMN, COLUMNS, ROW. SHEET SHEET sheet number of reference SHEET(reference) reference: reference or literal sheet name, defaults to the current sheet If reference is neither a reference nor a literal sheet name, SHEET returns #VALUE! SHEETS, ROW, COLUMNNUMBER. SHEETS SHEETS number of sheets in reference SHEETS(reference) reference: array, reference, or range, defaults to the maximum range If reference is neither an array nor a reference nor a range, SHEETS returns #VALUE! COLUMNS, ROWS. SORT SORT sorted list of numbers as vertical array SORT(ref,order) ref: list of numbers order: 0 (descending order) or 1 (ascending order); defaults to 0 Strings, booleans, and empty cells are ignored. ARRAY. TRANSPOSE TRANSPOSE the transpose of matrix TRANSPOSE(matrix) matrix: range FLIP, MMULT. VLOOKUP VLOOKUP search the first column of range for value VLOOKUP(value,range,column,approximate,as_index) value: search value range: range to search column: 1-based column offset indicating the return values approximate: if false, an exact match of value must be found; defaults to TRUE as_index: if true, the 0-based row offset is returned; defaults to FALSE VLOOKUP function finds the row in range that has a first cell similar to value. If approximate is not true it finds the row with an exact equality. If approximate is true, it finds the last row with first value less than or equal to value. If as_index is true the 0-based row offset is returned. If approximate is true, then the values must be sorted in order of ascending value. VLOOKUP returns #REF! if column falls outside range. HLOOKUP. ABS ABS absolute value ABS(x) x: number ABS gives the absolute value of x, i.e. the non-negative number of the same magnitude as x. This function is Excel compatible. CEIL, CEILING, FLOOR, INT, MOD. ACOS ACOS the arc cosine of x ACOS(x) x: number This function is Excel compatible. COS, SIN, DEGREES, RADIANS. ACOSH ACOSH the hyperbolic arc cosine of x ACOSH(x) x: number This function is Excel compatible. ACOS, ASINH. ACOT ACOT inverse cotangent of x ACOT(x) x: value COT, TAN. ACOTH ACOTH the inverse hyperbolic cotangent of x ACOTH(x) x: number COTH, TANH. ARABIC ARABIC the Roman numeral roman as number ARABIC(roman) roman: Roman numeral Any Roman symbol to the left of a larger symbol (directly or indirectly) reduces the final value by the symbol amount, otherwise, it increases the final amount by the symbol's amount. This function is OpenFormula compatible. ROMAN. ASIN ASIN the arc sine of x ASIN(x) x: number ASIN calculates the arc sine of x; that is the value whose sine is x. If x falls outside the range -1 to 1, ASIN returns #NUM! This function is Excel compatible. SIN, COS, ASINH, DEGREES, RADIANS. ASINH ASINH the inverse hyperbolic sine of x ASINH(x) x: number ASINH calculates the inverse hyperbolic sine of x; that is the value whose hyperbolic sine is x. This function is Excel compatible. ASIN, ACOSH, SIN, COS. ATAN ATAN the arc tangent of x ATAN(x) x: number ATAN calculates the arc tangent of x; that is the value whose tangent is x. The result will be between −π/2 and +π/2. This function is Excel compatible. TAN, COS, SIN, DEGREES, RADIANS. ATAN2 ATAN2 the arc tangent of the ratio y/x ATAN2(x,y) x: x-coordinate y: y-coordinate ATAN2 calculates the direction from the origin to the point (x,y) as an angle from the x-axis in radians. The result will be between −π and +π. The order of the arguments may be unexpected. This function is Excel compatible. This function is OpenFormula compatible. ATAN, ATANH, COS, SIN. ATANH ATANH the inverse hyperbolic tangent of x ATANH(x) x: number ATANH calculates the inverse hyperbolic tangent of x; that is the value whose hyperbolic tangent is x. If the absolute value of x is greater than 1.0, ATANH returns #NUM! This function is Excel compatible. ATAN, COS, SIN. AVERAGEIF AVERAGEIF average of the cells in actual range for which the corresponding cells in the range meet the given criteria AVERAGEIF(range,criteria,actual_range) range: cell area criteria: condition for a cell to be included actual_range: cell area, defaults to range This function is Excel compatible. SUMIF, COUNTIF. BETA BETA Euler beta function BETA(x,y) x: number y: number BETA function returns the value of the Euler beta function extended to all real numbers except 0 and negative integers. If x, y, or (x + y) are non-positive integers, BETA returns #NUM! BETALN, GAMMALN. BETALN BETALN natural logarithm of the absolute value of the Euler beta function BETALN(x,y) x: number y: number BETALN function returns the natural logarithm of the absolute value of the Euler beta function extended to all real numbers except 0 and negative integers. If x, y, or (x + y) are non-positive integers, BETALN returns #NUM! BETA, GAMMALN. CEIL CEIL smallest integer larger than or equal to x CEIL(x) x: number CEIL(x) is the smallest integer that is at least as large as x. This function is the OpenFormula function CEILING(x). CEILING, FLOOR, ABS, INT, MOD. CEILING CEILING nearest multiple of significance whose absolute value is at least ABS(x) CEILING(x,significance) x: number significance: base multiple (defaults to 1 for x > 0 and -1 for x <0) CEILING(x,significance) is the nearest multiple of significance whose absolute value is at least ABS(x). If x or significance is non-numeric, CEILING returns a #VALUE! error. If x and significance have different signs, CEILING returns a #NUM! error. This function is Excel compatible. CEILING(x) is exported to ODF as CEILING(x,SIGN(x),1). CEILING(x,significance) is the OpenFormula function CEILING(x,significance,1). CEIL, FLOOR, ABS, INT, MOD. CHOLESKY CHOLESKY the Cholesky decomposition of the symmetric positive-definite matrix CHOLESKY(matrix) matrix: a symmetric positive definite matrix If the Cholesky-Banachiewicz algorithm applied to matrix fails, Cholesky returns #NUM! If matrix does not contain an equal number of columns and rows, CHOLESKY returns #VALUE! MINVERSE, MMULT, MDETERM. COMBIN COMBIN binomial coefficient COMBIN(n,k) n: non-negative integer k: non-negative integer COMBIN returns the binomial coefficient "n choose k", the number of k-combinations of an n-element set without repetition. If n is less than k COMBIN returns #NUM! This function is Excel compatible. This function is OpenFormula compatible. COMBINA COMBINA the number of k-combinations of an n-element set with repetition COMBINA(n,k) n: non-negative integer k: non-negative integer This function is OpenFormula compatible. COMBIN. COS COS the cosine of x COS(x) x: angle in radians This function is Excel compatible. SIN, TAN, SINH, COSH, TANH, RADIANS, DEGREES. COSH COSH the hyperbolic cosine of x COSH(x) x: number This function is Excel compatible. SIN, TAN, SINH, COSH, TANH. COSPI COSPI the cosine of Pi*x COSPI(x) x: number of half turns COS. COT COT the cotangent of x COT(x) x: number TAN, ACOT. COTH COTH the hyperbolic cotangent of x COTH(x) x: number TANH, ACOTH. COUNTIF COUNTIF count of the cells meeting the given criteria COUNTIF(range,criteria) range: cell area criteria: condition for a cell to be counted This function is Excel compatible. COUNT, SUMIF. CSC CSC the cosecant of x CSC(x) x: angle in radians This function is not Excel compatible. This function is OpenFormula compatible. SIN, COS, TAN, SEC, SINH, COSH, TANH, RADIANS, DEGREES. CSCH CSCH the hyperbolic cosecant of x CSCH(x) x: number This function is not Excel compatible. This function is OpenFormula compatible. SIN, COS, TAN, CSC, SEC, SINH, COSH, TANH. DEGREES DEGREES equivalent degrees to x radians DEGREES(x) x: angle in radians This function is Excel compatible. RADIANS, PI. EIGEN EIGEN eigenvalues and eigenvectors of the symmetric matrix EIGEN(matrix) matrix: a symmetric matrix If matrix is not symmetric, EIGEN returns #NUM! If matrix does not contain an equal number of columns and rows, EIGEN returns #VALUE! EVEN EVEN x rounded away from 0 to the next even integer EVEN(x) x: number This function is Excel compatible. ODD. EXP EXP e raised to the power of x EXP(x) x: number e is the base of the natural logarithm. This function is Excel compatible. LOG, LOG2, LOG10. EXPM1 EXPM1 EXP(x)-1 EXPM1(x) x: number This function has a higher resulting precision than evaluating EXP(x)-1. EXP, LN1P. FACT FACT the factorial of x, i.e. x! FACT(x) x: number The domain of this function has been extended using the GAMMA function. This function is Excel compatible. FACTDOUBLE FACTDOUBLE double factorial FACTDOUBLE(x) x: non-negative integer FACTDOUBLE function returns the double factorial x!! If x is not an integer, it is truncated. If x is negative, FACTDOUBLE returns #NUM! This function is Excel compatible. FACT. FIB FIB Fibonacci numbers FIB(n) n: positive integer FIB(n) is the nth Fibonacci number. If n is not an integer, it is truncated. If it is negative or zero FIB returns #NUM! FLOOR FLOOR nearest multiple of significance whose absolute value is at most ABS(x) FLOOR(x,significance) x: number significance: base multiple (defaults to 1 for x > 0 and -1 for x <0) FLOOR(x,significance) is the nearest multiple of significance whose absolute value is at most ABS(x) This function is Excel compatible. FLOOR(x) is exported to ODF as FLOOR(x,SIGN(x),1). FLOOR(x,significance) is the OpenFormula function FLOOR(x,significance,1). CEIL, CEILING, ABS, INT, MOD. G_PRODUCT G_PRODUCT product of all the values and cells referenced G_PRODUCT(x1,x2,…) x1: number x2: number Empty cells are ignored and the empty product is 1. SUM, COUNT. GAMMA GAMMA the Gamma function GAMMA(x) x: number GAMMALN. GAMMALN GAMMALN natural logarithm of the Gamma function GAMMALN(x) x: number This function is Excel compatible. GAMMA. GCD GCD the greatest common divisor GCD(n0,n1,…) n0: positive integer n1: positive integer GCD calculates the greatest common divisor of the given numbers n0,n1,..., the greatest integer that is a divisor of each argument. If any of the arguments is not an integer, it is truncated. This function is Excel compatible. LCM. GD GD Gudermannian function GD(x) x: value TAN, TANH. HYPOT HYPOT the square root of the sum of the squares of the arguments HYPOT(n0,n1,…) n0: number n1: number MIN, MAX. IGAMMA IGAMMA the incomplete Gamma function IGAMMA(a,x,lower,regularize,real) a: number x: number lower: if true (the default), the lower incomplete gamma function, otherwise the upper incomplete gamma function regularize: if true (the default), the regularized version of the incomplete gamma function real: if true (the default), the real part of the result, otherwise the imaginary part The regularized incomplete gamma function is the unregularized incomplete gamma function divided by gamma(a) This is a real valued function as long as neither a nor z are negative. GAMMA, IMIGAMMA. INT INT largest integer not larger than x INT(x) x: number This function is Excel compatible. CEIL, CEILING, FLOOR, ABS, MOD. LCM LCM the least common multiple LCM(n0,n1,…) n0: positive integer n1: positive integer LCM calculates the least common multiple of the given numbers n0,n1,..., the smallest integer that is a multiple of each argument. If any of the arguments is not an integer, it is truncated. This function is Excel compatible. GCD. LINSOLVE LINSOLVE solve linear equation LINSOLVE(A,B) A: a matrix B: a matrix Solves the equation A*X=B and returns X. If the matrix A is singular, #VALUE! is returned. MINVERSE. LN LN the natural logarithm of x LN(x) x: positive number If x ≤ 0, LN returns #NUM! error. This function is Excel compatible. EXP, LOG2, LOG10. LN1P LN1P LN(1+x) LN1P(x) x: positive number LN1P calculates LN(1+x) but yielding a higher precision than evaluating LN(1+x). If x ≤ -1, LN returns #NUM! error. This function is Excel compatible. EXP, LN, EXPM1. LOG LOG logarithm of x with base base LOG(x,base) x: positive number base: base of the logarithm, defaults to 10 base must be positive and not equal to 1. If x ≤ 0, LOG returns #NUM! error. This function is Excel compatible. LN, LOG2, LOG10. LOG10 LOG10 the base-10 logarithm of x LOG10(x) x: positive number If x ≤ 0, LOG10 returns #NUM! EXP, LOG2, LOG. LOG2 LOG2 the base-2 logarithm of x LOG2(x) x: positive number If x ≤ 0, LOG2 returns #NUM! EXP, LOG10, LOG. MDETERM MDETERM the determinant of the matrix matrix MDETERM(matrix) matrix: a square matrix This function is Excel compatible. MMULT, MINVERSE. MINVERSE MINVERSE the inverse matrix of matrix MINVERSE(matrix) matrix: a square matrix If matrix is not invertible, MINVERSE returns #NUM! If matrix does not contain an equal number of columns and rows, MINVERSE returns #VALUE! This function is Excel compatible. MMULT, MDETERM, LINSOLVE. MMULT MMULT the matrix product of mat1 and mat2 MMULT(mat1,mat2) mat1: a matrix mat2: a matrix This function is Excel compatible. TRANSPOSE, MINVERSE. MOD MOD the remainder of x under division by n MOD(x,n) x: integer n: integer MOD function returns the remainder when x is divided by n. If n is 0, MOD returns #DIV/0! This function is Excel compatible. CEIL, CEILING, FLOOR, ABS, INT, ABS. MPSEUDOINVERSE MPSEUDOINVERSE the pseudo-inverse matrix of matrix MPSEUDOINVERSE(matrix,threshold) matrix: a matrix threshold: a relative size threshold for discarding eigenvalues MINVERSE. MROUND MROUND x rounded to a multiple of m MROUND(x,m) x: number m: number If x and m have different sign, MROUND returns #NUM! This function is Excel compatible. ROUNDDOWN, ROUND, ROUNDUP. MULTINOMIAL MULTINOMIAL multinomial coefficient (x1+⋯+xn) choose (x1,…,xn) MULTINOMIAL(x1,x2,xn,…) x1: first number x2: second number xn: nth number This function is Excel compatible. COMBIN, SUM. MUNIT MUNIT the n by n identity matrix MUNIT(n) n: size of the matrix This function is OpenFormula compatible. MMULT, MDETERM, MINVERSE. ODD ODD x rounded away from 0 to the next odd integer ODD(x) x: number This function is Excel compatible. EVEN. ODF.SUMPRODUCT ODF.SUMPRODUCT multiplies components and adds the results ODF.SUMPRODUCT(,…) Multiplies corresponding data entries in the given arrays or ranges, and then returns the sum of those products. If an entry is not numeric or logical, the value zero is used instead. If arrays or range arguments do not have the same dimensions, return #VALUE! error. This function differs from SUMPRODUCT by considering booleans. This function is not Excel compatible. Use SUMPRODUCT instead. This function is OpenFormula compatible. SUMPRODUCT, SUM, PRODUCT, G_PRODUCT. PI PI the constant 𝜋 PI() This function is Excel compatible, but it returns 𝜋 with a better precision. SQRTPI. POCHHAMMER POCHHAMMER the value of GAMMA(x+n)/GAMMA(x) POCHHAMMER(x,n) x: number n: number GAMMA. POWER POWER the value of x raised to the power y raised to the power of 1/z POWER(x,y,z) x: number y: number z: number If both x and y equal 0, POWER returns #NUM! If x = 0 and y < 0, POWER returns #DIV/0! If x < 0 and y is not an integer, POWER returns #NUM! z defaults to 1 If z is not a positive integer, POWER returns #NUM! If x < 0, y is odd, and z is even, POWER returns #NUM! EXP. PRODUCT PRODUCT product of the given values PRODUCT(values,…) values: a list of values to multiply PRODUCT computes the product of all the values and cells referenced in the argument list. If all cells are empty, the result will be 0. This function is Excel compatible. This function is OpenFormula compatible. SUM, COUNT, G_PRODUCT. QUOTIENT QUOTIENT integer portion of a division QUOTIENT(numerator,denominator) numerator: integer denominator: non-zero integer QUOTIENT yields the integer portion of the division numerator/denominator. QUOTIENT (numerator,denominator)⨉denominator+MOD(numerator,denominator)=numerator This function is Excel compatible. MOD. RADIANS RADIANS the number of radians equivalent to x degrees RADIANS(x) x: angle in degrees This function is Excel compatible. PI, DEGREES. ROMAN ROMAN n as a roman numeral text ROMAN(n,type) n: non-negative integer type: 0,1,2,3,or 4, defaults to 0 ROMAN returns the arabic number n as a roman numeral text. If type is 0 or it is omitted, ROMAN returns classic roman numbers. Type 1 is more concise than classic type, type 2 is more concise than type 1, and type 3 is more concise than type 2. Type 4 is a simplified type. This function is Excel compatible. ROUND ROUND rounded x ROUND(x,d) x: number d: integer, defaults to 0 If d is greater than zero, x is rounded to the given number of digits. If d is zero, x is rounded to the next integer. If d is less than zero, x is rounded to the left of the decimal point This function is Excel compatible. ROUNDDOWN, ROUNDUP. ROUNDDOWN ROUNDDOWN x rounded towards 0 ROUNDDOWN(x,d) x: number d: integer, defaults to 0 If d is greater than zero, x is rounded toward 0 to the given number of digits. If d is zero, x is rounded toward 0 to the next integer. If d is less than zero, x is rounded toward 0 to the left of the decimal point This function is Excel compatible. ROUND, ROUNDUP. ROUNDUP ROUNDUP x rounded away from 0 ROUNDUP(x,d) x: number d: integer, defaults to 0 If d is greater than zero, x is rounded away from 0 to the given number of digits. If d is zero, x is rounded away from 0 to the next integer. If d is less than zero, x is rounded away from 0 to the left of the decimal point This function is Excel compatible. ROUND, ROUNDDOWN, INT. SEC SEC Secant SEC(x) x: angle in radians This function is not Excel compatible. SEC(x) is exported to OpenFormula as 1/COS(x). SIN, COS, TAN, CSC, SINH, COSH, TANH, RADIANS, DEGREES. SECH SECH the hyperbolic secant of x SECH(x) x: number This function is not Excel compatible. SECH(x) is exported to OpenFormula as 1/COSH(x). SIN, COS, TAN, CSC, SEC, SINH, COSH, TANH. SERIESSUM SERIESSUM sum of a power series at x SERIESSUM(x,n,m,coeff) x: number where to evaluate the power series n: non-negative integer, exponent of the lowest term of the series m: increment to each exponent coeff: coefficients of the power series This function is Excel compatible. COUNT, SUM. SIGN SIGN sign of x SIGN(x) x: number SIGN returns 1 if the x is positive and it returns -1 if x is negative. This function is Excel compatible. ABS. SIN SIN the sine of x SIN(x) x: angle in radians This function is Excel compatible. COS, TAN, CSC, SEC, SINH, COSH, TANH, RADIANS, DEGREES. SINH SINH the hyperbolic sine of x SINH(x) x: number This function is Excel compatible. SIN, COSH, ASINH. SINPI SINPI the sine of Pi*x SINPI(x) x: number of half turns SIN. SQRT SQRT square root of x SQRT(x) x: non-negative number If x is negative, SQRT returns #NUM! This function is Excel compatible. POWER. SQRTPI SQRTPI the square root of x times 𝜋 SQRTPI(x) x: non-negative number This function is Excel compatible. PI. SUM SUM sum of the given values SUM(values,…) values: a list of values to add SUM computes the sum of all the values and cells referenced in the argument list. This function is Excel compatible. This function is OpenFormula compatible. AVERAGE, COUNT. SUMA SUMA sum of all values and cells referenced SUMA(area0,area1,…) area0: first cell area area1: second cell area Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). AVERAGE, SUM, COUNT. SUMIF SUMIF sum of the cells in actual_range for which the corresponding cells in the range meet the given criteria SUMIF(range,criteria,actual_range) range: cell area criteria: condition for a cell to be summed actual_range: cell area, defaults to range If the actual_range has a size that differs from the size of range, actual_range is resized (retaining the top-left corner) to match the size of range. This function is Excel compatible. SUM, COUNTIF. SUMPRODUCT SUMPRODUCT multiplies components and adds the results SUMPRODUCT(,…) Multiplies corresponding data entries in the given arrays or ranges, and then returns the sum of those products. If an entry is not numeric, the value zero is used instead. If arrays or range arguments do not have the same dimensions, return #VALUE! error. This function ignores logicals, so using SUMPRODUCT(A1:A5>0) will not work. Instead use SUMPRODUCT(--(A1:A5>0)) This function is Excel compatible. This function is not OpenFormula compatible. Use ODF.SUMPRODUCT instead. SUM, PRODUCT, G_PRODUCT, ODF.SUMPRODUCT. SUMSQ SUMSQ sum of the squares of all values and cells referenced SUMSQ(area0,area1,…) area0: first cell area area1: second cell area This function is Excel compatible. SUM, COUNT. SUMX2MY2 SUMX2MY2 sum of the difference of squares SUMX2MY2(array0,array1) array0: first cell area array1: second cell area SUMX2MY2 function returns the sum of the difference of squares of corresponding values in two arrays. The equation of SUMX2MY2 is SUM(x^2-y^2). This function is Excel compatible. SUMSQ, SUMX2PY2. SUMX2PY2 SUMX2PY2 sum of the sum of squares SUMX2PY2(array0,array1) array0: first cell area array1: second cell area SUMX2PY2 function returns the sum of the sum of squares of corresponding values in two arrays. The equation of SUMX2PY2 is SUM(x^2+y^2). If array0 and array1 have different number of data points, SUMX2PY2 returns #N/A. Strings and empty cells are simply ignored. This function is Excel compatible. SUMSQ, SUMX2MY2. SUMXMY2 SUMXMY2 sum of the squares of differences SUMXMY2(array0,array1) array0: first cell area array1: second cell area SUMXMY2 function returns the sum of the squares of the differences of corresponding values in two arrays. The equation of SUMXMY2 is SUM((x-y)^2). If array0 and array1 have different number of data points, SUMXMY2 returns #N/A. Strings and empty cells are simply ignored. This function is Excel compatible. SUMSQ, SUMX2MY2, SUMX2PY2. TAN TAN the tangent of x TAN(x) x: angle in radians This function is Excel compatible. TANH, COS, COSH, SIN, SINH, DEGREES, RADIANS. TANH TANH the hyperbolic tangent of x TANH(x) x: number This function is Excel compatible. TAN, SIN, SINH, COS, COSH. TRUNC TRUNC x truncated to d digits TRUNC(x,d) x: number d: non-negative integer, defaults to 0 If d is omitted or negative then it defaults to zero. If it is not an integer then it is truncated to an integer. This function is Excel compatible. INT. ISPRIME ISPRIME whether n is prime ISPRIME(n) n: positive integer ISPRIME returns TRUE if n is prime and FALSE otherwise. NT_D, NT_SIGMA. ITHPRIME ITHPRIME ith prime ITHPRIME(i) i: positive integer ITHPRIME finds the ith prime. NT_D, NT_SIGMA. NT_D NT_D number of divisors NT_D(n) n: positive integer NT_D calculates the number of divisors of n. ITHPRIME, NT_PHI, NT_SIGMA. NT_MU NT_MU Möbius mu function NT_MU(n) n: positive integer NT_MU function (Möbius mu function) returns 0 if n is divisible by the square of a prime. Otherwise, if n has an odd number of different prime factors, NT_MU returns -1, and if n has an even number of different prime factors, it returns 1. If n = 1, NT_MU returns 1. ITHPRIME, NT_PHI, NT_SIGMA, NT_D. NT_OMEGA NT_OMEGA Number of distinct prime factors NT_OMEGA(n) n: positive integer Returns the number of distinct prime factors without multiplicity. NT_D, ITHPRIME, NT_SIGMA. NT_PHI NT_PHI Euler's totient function NT_PHI(n) n: positive integer Euler's totient function gives the number of integers less than or equal to n that are relatively prime (coprime) to n. NT_D, ITHPRIME, NT_SIGMA. NT_PI NT_PI number of primes upto n NT_PI(n) n: positive integer NT_PI returns the number of primes less than or equal to n. ITHPRIME, NT_PHI, NT_D, NT_SIGMA. NT_SIGMA NT_SIGMA sigma function NT_SIGMA(n) n: positive integer NT_SIGMA calculates the sum of the divisors of n. NT_D, ITHPRIME, NT_PHI. PFACTOR PFACTOR smallest prime factor PFACTOR(n) n: positive integer PFACTOR finds the smallest prime factor of its argument. The argument n must be at least 2. Otherwise a #VALUE! error is returned. ITHPRIME. RAND RAND a random number between zero and one RAND() This function is Excel compatible. RANDBETWEEN. RANDBERNOULLI RANDBERNOULLI random variate from a Bernoulli distribution RANDBERNOULLI(p) p: probability of success If p < 0 or p > 1 RANDBERNOULLI returns #NUM! RAND, RANDBETWEEN. RANDBETA RANDBETA random variate from a Beta distribution RANDBETA(a,b) a: parameter of the Beta distribution b: parameter of the Beta distribution RAND, RANDGAMMA. RANDBETWEEN RANDBETWEEN a random integer number between and including bottom and top RANDBETWEEN(bottom,top) bottom: lower limit top: upper limit If bottom > top, RANDBETWEEN returns #NUM! This function is Excel compatible. RAND, RANDUNIFORM. RANDBINOM RANDBINOM random variate from a binomial distribution RANDBINOM(p,n) p: probability of success in a single trial n: number of trials If p < 0 or p > 1 RANDBINOM returns #NUM! If n < 0 RANDBINOM returns #NUM! RAND, RANDBETWEEN. RANDCAUCHY RANDCAUCHY random variate from a Cauchy or Lorentz distribution RANDCAUCHY(a) a: scale parameter of the distribution If a < 0 RANDCAUCHY returns #NUM! RAND. RANDCHISQ RANDCHISQ random variate from a Chi-square distribution RANDCHISQ(df) df: degrees of freedom RAND, RANDGAMMA. RANDDISCRETE RANDDISCRETE random variate from a finite discrete distribution RANDDISCRETE(val_range,prob_range) val_range: possible values of the random variable prob_range: probabilities of the corresponding values in val_range, defaults to equal probabilities RANDDISCRETE returns one of the values in the val_range. The probabilities for each value are given in the prob_range. If the sum of all values in prob_range is not one, RANDDISCRETE returns #NUM! If val_range and prob_range are not the same size, RANDDISCRETE returns #NUM! If val_range or prob_range is not a range, RANDDISCRETE returns #VALUE! RANDBETWEEN, RAND. RANDEXP RANDEXP random variate from an exponential distribution RANDEXP(b) b: parameter of the exponential distribution RAND, RANDBETWEEN. RANDEXPPOW RANDEXPPOW random variate from an exponential power distribution RANDEXPPOW(a,b) a: scale parameter of the exponential power distribution b: exponent of the exponential power distribution For b = 1 the exponential power distribution reduces to the Laplace distribution. For b = 2 the exponential power distribution reduces to the normal distribution with σ = a/sqrt(2) RAND. RANDFDIST RANDFDIST random variate from an F distribution RANDFDIST(df1,df2) df1: numerator degrees of freedom df2: denominator degrees of freedom RAND, RANDGAMMA. RANDGAMMA RANDGAMMA random variate from a Gamma distribution RANDGAMMA(a,b) a: parameter of the Gamma distribution b: parameter of the Gamma distribution If a ≤ 0, RANDGAMMA returns #NUM! RAND. RANDGEOM RANDGEOM random variate from a geometric distribution RANDGEOM(p) p: probability of success in a single trial If p < 0 or p > 1 RANDGEOM returns #NUM! RAND. RANDGUMBEL RANDGUMBEL random variate from a Gumbel distribution RANDGUMBEL(a,b,type) a: parameter of the Gumbel distribution b: parameter of the Gumbel distribution type: type of the Gumbel distribution, defaults to 1 If type is neither 1 nor 2, RANDGUMBEL returns #NUM! RAND. RANDHYPERG RANDHYPERG random variate from a hypergeometric distribution RANDHYPERG(n1,n2,t) n1: number of objects of type 1 n2: number of objects of type 2 t: total number of objects selected RAND. RANDLANDAU RANDLANDAU random variate from the Landau distribution RANDLANDAU() RAND. RANDLAPLACE RANDLAPLACE random variate from a Laplace distribution RANDLAPLACE(a) a: parameter of the Laplace distribution RAND. RANDLEVY RANDLEVY random variate from a Lévy distribution RANDLEVY(c,α,β) c: parameter of the Lévy distribution α: parameter of the Lévy distribution β: parameter of the Lévy distribution, defaults to 0 For α = 1, β=0, the Lévy distribution reduces to the Cauchy (or Lorentzian) distribution. For α = 2, β=0, the Lévy distribution reduces to the normal distribution. If α ≤ 0 or α > 2, RANDLEVY returns #NUM! If β < -1 or β > 1, RANDLEVY returns #NUM! RAND. RANDLOG RANDLOG random variate from a logarithmic distribution RANDLOG(p) p: probability If p < 0 or p > 1 RANDLOG returns #NUM! RAND. RANDLOGISTIC RANDLOGISTIC random variate from a logistic distribution RANDLOGISTIC(a) a: parameter of the logistic distribution RAND. RANDLOGNORM RANDLOGNORM random variate from a lognormal distribution RANDLOGNORM(ζ,σ) ζ: parameter of the lognormal distribution σ: standard deviation of the distribution If σ < 0, RANDLOGNORM returns #NUM! RAND. RANDNEGBINOM RANDNEGBINOM random variate from a negative binomial distribution RANDNEGBINOM(p,n) p: probability of success in a single trial n: number of failures If p < 0 or p > 1 RANDNEGBINOM returns #NUM! If n < 1 RANDNEGBINOM returns #NUM! RAND, RANDBETWEEN. RANDNORM RANDNORM random variate from a normal distribution RANDNORM(μ,σ) μ: mean of the distribution σ: standard deviation of the distribution If σ < 0, RANDNORM returns #NUM! RAND. RANDNORMTAIL RANDNORMTAIL random variate from the upper tail of a normal distribution with mean 0 RANDNORMTAIL(a,σ) a: lower limit of the tail σ: standard deviation of the normal distribution The method is based on Marsaglia's famous rectangle-wedge-tail algorithm (Ann Math Stat 32, 894-899 (1961)), with this aspect explained in Knuth, v2, 3rd ed, p139, 586 (exercise 11). RAND. RANDPARETO RANDPARETO random variate from a Pareto distribution RANDPARETO(a,b) a: parameter of the Pareto distribution b: parameter of the Pareto distribution RAND. RANDPOISSON RANDPOISSON random variate from a Poisson distribution RANDPOISSON(λ) λ: parameter of the Poisson distribution If λ < 0 RANDPOISSON returns #NUM! RAND, RANDBETWEEN. RANDRAYLEIGH RANDRAYLEIGH random variate from a Rayleigh distribution RANDRAYLEIGH(σ) σ: scale parameter of the Rayleigh distribution RAND. RANDRAYLEIGHTAIL RANDRAYLEIGHTAIL random variate from the tail of a Rayleigh distribution RANDRAYLEIGHTAIL(a,σ) a: lower limit of the tail σ: scale parameter of the Rayleigh distribution RAND, RANDRAYLEIGH. RANDSNORM RANDSNORM random variate from a skew-normal distribution RANDSNORM(𝛼,𝜉,𝜔) 𝛼: shape parameter of the skew-normal distribution, defaults to 0 𝜉: location parameter of the skew-normal distribution, defaults to 0 𝜔: scale parameter of the skew-normal distribution, defaults to 1 The random variates are drawn from a skew-normal distribution with shape parameter 𝛼. When 𝛼=0, the skewness vanishes, and we obtain the standard normal density; as 𝛼 increases (in absolute value), the skewness of the distribution increases; when 𝛼 approaches infinity the density converges to the so-called half-normal (or folded normal) density function; if the sign of 𝛼 changes, the density is reflected on the opposite side of the vertical axis. The mean of a skew-normal distribution with location parameter 𝜉=0 is not 0. The standard deviation of a skew-normal distribution with scale parameter 𝜔=1 is not 1. The skewness of a skew-normal distribution is in general not 𝛼. If 𝜔 < 0, RANDSNORM returns #NUM! RANDNORM, RANDSTDIST. RANDSTDIST RANDSTDIST random variate from a skew-t distribution RANDSTDIST(df,𝛼) df: degrees of freedom 𝛼: shape parameter of the skew-t distribution, defaults to 0 The mean of a skew-t distribution is not 0. The standard deviation of a skew-t distribution is not 1. The skewness of a skew-t distribution is in general not 𝛼. RANDTDIST, RANDSNORM. RANDTDIST RANDTDIST random variate from a Student t distribution RANDTDIST(df) df: degrees of freedom RAND. RANDUNIFORM RANDUNIFORM random variate from the uniform distribution from a to b RANDUNIFORM(a,b) a: lower limit of the uniform distribution b: upper limit of the uniform distribution If a > b RANDUNIFORM returns #NUM! RANDBETWEEN, RAND. RANDWEIBULL RANDWEIBULL random variate from a Weibull distribution RANDWEIBULL(a,b) a: parameter of the Weibull distribution b: parameter of the Weibull distribution RAND. SIMTABLE SIMTABLE one of the values in the given argument list depending on the round number of the simulation tool SIMTABLE(d1,d2,…) d1: first value d2: second value SIMTABLE returns one of the values in the given argument list depending on the round number of the simulation tool. When the simulation tool is not activated, SIMTABLE returns d1. With the simulation tool and the SIMTABLE function you can test given decision variables. Each SIMTABLE function contains the possible values of a simulation variable. In most valid simulation models you should have the same number of values dN for all decision variables. If the simulation is run more rounds than there are values defined, SIMTABLE returns #N/A! error (e.g. if A1 contains `=SIMTABLE(1)' and A2 `=SIMTABLE(1,2)', A1 yields #N/A! error on the second round). The successive use of the simulation tool also requires that you give to the tool at least one input variable having RAND() or any other RAND<distribution name>() function in it. On each round, the simulation tool iterates for the given number of rounds over all the input variables to reevaluate them. On each iteration, the values of the output variables are stored, and when the round is completed, descriptive statistical information is created according to the values. ADTEST ADTEST Anderson-Darling Test of Normality ADTEST(x) x: array of sample values This function returns an array with the first row giving the p-value of the Anderson-Darling Test, the second row the test statistic of the test, and the third the number of observations in the sample. If there are less than 8 sample values, ADTEST returns #VALUE! CHITEST, CVMTEST, LKSTEST, SFTEST. AVEDEV AVEDEV average of the absolute deviations of a data set AVEDEV(number1,number2,…) number1: first value number2: second value This function is Excel compatible. STDEV. AVERAGE AVERAGE average of all the numeric values and cells AVERAGE(number1,number2,…) number1: first value number2: second value This function is Excel compatible. SUM, COUNT. AVERAGEA AVERAGEA average of all the values and cells AVERAGEA(number1,number2,…) number1: first value number2: second value Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. AVERAGE. BERNOULLI BERNOULLI probability mass function of a Bernoulli distribution BERNOULLI(k,p) k: integer p: probability of success If k != 0 and k != 1 this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. RANDBERNOULLI. BETA.DIST BETA.DIST cumulative distribution function of the beta distribution BETA.DIST(x,alpha,beta,cumulative,a,b) x: number alpha: scale parameter beta: scale parameter cumulative: whether to evaluate the density function or the cumulative distribution function a: optional lower bound, defaults to 0 b: optional upper bound, defaults to 1 If x < a or x > b this function returns a #NUM! error. If alpha <= 0 or beta <= 0, this function returns a #NUM! error. If a >= b this function returns a #NUM! error. This function is Excel compatible. BETAINV, BETADIST. BETADIST BETADIST cumulative distribution function of the beta distribution BETADIST(x,alpha,beta,a,b) x: number alpha: scale parameter beta: scale parameter a: optional lower bound, defaults to 0 b: optional upper bound, defaults to 1 If x < a or x > b this function returns a #NUM! error. If alpha <= 0 or beta <= 0, this function returns a #NUM! error. If a >= b this function returns a #NUM! error. This function is Excel compatible. BETAINV, BETA.DIST. BETAINV BETAINV inverse of the cumulative distribution function of the beta distribution BETAINV(p,alpha,beta,a,b) p: probability alpha: scale parameter beta: scale parameter a: optional lower bound, defaults to 0 b: optional upper bound, defaults to 1 If p < 0 or p > 1 this function returns a #NUM! error. If alpha <= 0 or beta <= 0, this function returns a #NUM! error. If a >= b this function returns a #NUM! error. This function is Excel compatible. BETADIST, BETA.DIST. BINOM.DIST.RANGE BINOM.DIST.RANGE probability of the binomial distribution over an interval BINOM.DIST.RANGE(trials,p,start,end) trials: number of trials p: probability of success in each trial start: start of the interval end: end of the interval, defaults to start If start, end or trials are non-integer they are truncated. If trials < 0 this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. If start > end this function returns 0. This function is OpenFormula compatible. BINOMDIST, R.PBINOM. BINOMDIST BINOMDIST probability mass or cumulative distribution function of the binomial distribution BINOMDIST(n,trials,p,cumulative) n: number of successes trials: number of trials p: probability of success in each trial cumulative: whether to evaluate the mass function or the cumulative distribution function If n or trials are non-integer they are truncated. If n < 0 or trials < 0 this function returns a #NUM! error. If n > trials this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. This function is Excel compatible. POISSON. CAUCHY CAUCHY probability density or cumulative distribution function of the Cauchy, Lorentz or Breit-Wigner distribution CAUCHY(x,a,cumulative) x: number a: scale parameter cumulative: whether to evaluate the density function or the cumulative distribution function If a < 0 this function returns a #NUM! error. If cumulative is neither TRUE nor FALSE this function returns a #VALUE! error. RANDCAUCHY. CHIDIST CHIDIST survival function of the chi-squared distribution CHIDIST(x,dof) x: number dof: number of degrees of freedom The survival function is 1 minus the cumulative distribution function. If dof is non-integer it is truncated. If dof < 1 this function returns a #NUM! error. This function is Excel compatible. CHIDIST(x,dof) is the OpenFormula function LEGACY.CHIDIST(x,dof). CHIINV, CHITEST. CHIINV CHIINV inverse of the survival function of the chi-squared distribution CHIINV(p,dof) p: probability dof: number of degrees of freedom The survival function is 1 minus the cumulative distribution function. If p < 0 or p > 1 or dof < 1 this function returns a #NUM! error. This function is Excel compatible. CHIINV(p,dof) is the OpenFormula function LEGACY.CHIDIST(p,dof). CHIDIST, CHITEST. CHITEST CHITEST p value of the Goodness of Fit Test CHITEST(actual_range,theoretical_range) actual_range: observed data theoretical_range: expected values If the actual range is not an n by 1 or 1 by n range, but an n by m range, then CHITEST uses (n-1) times (m-1) as degrees of freedom. This is useful if the expected values were calculated from the observed value in a test of independence or test of homogeneity. This function is Excel compatible. CHITEST is the OpenFormula function LEGACY.CHITEST. CHIDIST, CHIINV. CONFIDENCE CONFIDENCE margin of error of a confidence interval for the population mean CONFIDENCE(alpha,stddev,size) alpha: significance level stddev: population standard deviation size: sample size This function requires the usually unknown population standard deviation. If size is non-integer it is truncated. If size < 0 this function returns a #NUM! error. If size is 0 this function returns a #DIV/0! error. This function is Excel compatible. AVERAGE. CORREL CORREL Pearson correlation coefficient of two data sets CORREL(array1,array2) array1: first data set array2: second data set Strings and empty cells are simply ignored. This function is Excel compatible. COVAR, FISHER, FISHERINV. COUNT COUNT total number of integer or floating point arguments passed COUNT(number1,number2,…) number1: first value number2: second value This function is Excel compatible. AVERAGE. COUNTA COUNTA number of arguments passed not including empty cells COUNTA(number1,number2,…) number1: first value number2: second value This function is Excel compatible. AVERAGE, COUNT, DCOUNT, DCOUNTA, PRODUCT, SUM. COVAR COVAR covariance of two data sets COVAR(array1,array2) array1: first data set array2: set data set Strings and empty cells are simply ignored. This function is Excel compatible. CORREL, FISHER, FISHERINV. COVARIANCE.S COVARIANCE.S sample covariance of two data sets COVARIANCE.S(array1,array2) array1: first data set array2: set data set Strings and empty cells are simply ignored. This function is Excel compatible. COVAR, CORREL. CRITBINOM CRITBINOM right-tailed critical value of the binomial distribution CRITBINOM(trials,p,alpha) trials: number of trials p: probability of success in each trial alpha: significance level (area of the tail) If trials is a non-integer it is truncated. If trials < 0 this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. If alpha < 0 or alpha > 1 this function returns a #NUM! error. This function is Excel compatible. BINOMDIST. CRONBACH CRONBACH Cronbach's alpha CRONBACH(ref1,ref2,…) ref1: first data set ref2: second data set VAR. CVMTEST CVMTEST Cramér-von Mises Test of Normality CVMTEST(x) x: array of sample values This function returns an array with the first row giving the p-value of the Cramér-von Mises Test, the second row the test statistic of the test, and the third the number of observations in the sample. If there are less than 8 sample values, CVMTEST returns #VALUE! CHITEST, ADTEST, LKSTEST, SFTEST. DEVSQ DEVSQ sum of squares of deviations of a data set DEVSQ(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. This function is Excel compatible. STDEV. EXPONDIST EXPONDIST probability density or cumulative distribution function of the exponential distribution EXPONDIST(x,y,cumulative) x: number y: scale parameter cumulative: whether to evaluate the density function or the cumulative distribution function If cumulative is false it will return: y * exp (-y*x),otherwise it will return 1 - exp (-y*x). If x < 0 or y <= 0 this will return an error. This function is Excel compatible. POISSON. EXPPOWDIST EXPPOWDIST the probability density function of the Exponential Power distribution EXPPOWDIST(x,a,b) x: number a: scale parameter b: scale parameter This distribution has been recommended for lifetime analysis when a U-shaped hazard function is desired. This corresponds to rapid failure once the product starts to wear out after a period of steady or even improving reliability. RANDEXPPOW. FDIST FDIST survival function of the F distribution FDIST(x,dof_of_num,dof_of_denom) x: number dof_of_num: numerator degrees of freedom dof_of_denom: denominator degrees of freedom The survival function is 1 minus the cumulative distribution function. If x < 0 this function returns a #NUM! error. If dof_of_num < 1 or dof_of_denom < 1, this function returns a #NUM! error. This function is Excel compatible. FDIST is the OpenFormula function LEGACY.FDIST. FINV. FINV FINV inverse of the survival function of the F distribution FINV(p,dof_of_num,dof_of_denom) p: probability dof_of_num: numerator degrees of freedom dof_of_denom: denominator degrees of freedom The survival function is 1 minus the cumulative distribution function. If p < 0 or p > 1 this function returns a #NUM! error. If dof_of_num < 1 or dof_of_denom < 1 this function returns a #NUM! error. This function is Excel compatible. FINV is the OpenFormula function LEGACY.FINV. FDIST. FISHER FISHER Fisher transformation FISHER(x) x: number If x is not a number, this function returns a #VALUE! error. If x <= -1 or x >= 1, this function returns a #NUM! error. This function is Excel compatible. FISHERINV, ATANH. FISHERINV FISHERINV inverse of the Fisher transformation FISHERINV(x) x: number If x is a non-number this function returns a #VALUE! error. This function is Excel compatible. FISHER, TANH. FORECAST FORECAST estimates a future value according to existing values using simple linear regression FORECAST(x,known_ys,known_xs) x: x-value whose matching y-value should be forecast known_ys: known y-values known_xs: known x-values This function estimates a future value according to existing values using simple linear regression. If known_xs or known_ys contains no data entries or different number of data entries, this function returns a #N/A error. If the variance of the known_xs is zero, this function returns a #DIV/0 error. This function is Excel compatible. INTERCEPT, TREND. FREQUENCY FREQUENCY frequency table FREQUENCY(data_array,bins_array) data_array: data values bins_array: array of cutoff values The results are given as an array. If the bins_array is empty, this function returns the number of data points in data_array. This function is Excel compatible. FTEST FTEST p-value for the two-tailed hypothesis test comparing the variances of two populations FTEST(array1,array2) array1: sample from the first population array2: sample from the second population This function is Excel compatible. FDIST, FINV. GAMMADIST GAMMADIST probability density or cumulative distribution function of the gamma distribution GAMMADIST(x,alpha,beta,cumulative) x: number alpha: scale parameter beta: scale parameter cumulative: whether to evaluate the density function or the cumulative distribution function If x < 0 this function returns a #NUM! error. If alpha <= 0 or beta <= 0, this function returns a #NUM! error. This function is Excel compatible. GAMMAINV. GAMMAINV GAMMAINV inverse of the cumulative gamma distribution GAMMAINV(p,alpha,beta) p: probability alpha: scale parameter beta: scale parameter If p < 0 or p > 1 this function returns a #NUM! error. If alpha <= 0 or beta <= 0 this function returns a #NUM! error. This function is Excel compatible. GAMMADIST. GEOMDIST GEOMDIST probability mass or cumulative distribution function of the geometric distribution GEOMDIST(k,p,cumulative) k: number of trials p: probability of success in any trial cumulative: whether to evaluate the mass function or the cumulative distribution function If k < 0 this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. If cumulative is neither TRUE nor FALSE this function returns a #VALUE! error. RANDGEOM. GEOMEAN GEOMEAN geometric mean GEOMEAN(number1,number2,…) number1: first value number2: second value The geometric mean is equal to the Nth root of the product of the N values. This function is Excel compatible. AVERAGE, HARMEAN, MEDIAN, MODE, TRIMMEAN. GROWTH GROWTH exponential growth prediction GROWTH(known_ys,known_xs,new_xs,affine) known_ys: known y-values known_xs: known x-values; defaults to the array {1, 2, 3, …} new_xs: x-values for which to estimate the y-values; defaults to known_xs affine: if true, the model contains a constant term, defaults to true GROWTH function applies the “least squares” method to fit an exponential curve to your data and predicts the exponential growth by using this curve. GROWTH returns an array having one column and a row for each data point in new_xs. If known_ys and known_xs have unequal number of data points, this function returns a #NUM! error. LOGEST, GROWTH, TREND. HARMEAN HARMEAN harmonic mean HARMEAN(number1,number2,…) number1: first value number2: second value The harmonic mean of N data points is N divided by the sum of the reciprocals of the data points). This function is Excel compatible. AVERAGE, GEOMEAN, MEDIAN, MODE, TRIMMEAN. HYPGEOMDIST HYPGEOMDIST probability mass or cumulative distribution function of the hypergeometric distribution HYPGEOMDIST(x,n,M,N,cumulative) x: number of successes n: sample size M: number of possible successes in the population N: population size cumulative: whether to evaluate the mass function or the cumulative distribution function If x,n,M or N is a non-integer it is truncated. If x,n,M or N < 0 this function returns a #NUM! error. If x > M or n > N this function returns a #NUM! error. This function is Excel compatible. BINOMDIST, POISSON. INTERCEPT INTERCEPT the intercept of a linear regression line INTERCEPT(known_ys,known_xs) known_ys: known y-values known_xs: known x-values If known_xs or known_ys contains no data entries or different number of data entries, this function returns a #N/A error. If the variance of the known_xs is zero, this function returns #DIV/0 error. This function is Excel compatible. FORECAST, TREND. KURT KURT unbiased estimate of the kurtosis of a data set KURT(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. This is only meaningful if the underlying distribution really has a fourth moment. The kurtosis is offset by three such that a normal distribution will have zero kurtosis. If fewer than four numbers are given or all of them are equal this function returns a #DIV/0! error. This function is Excel compatible. AVERAGE, VAR, SKEW, KURTP. KURTP KURTP population kurtosis of a data set KURTP(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. If fewer than two numbers are given or all of them are equal this function returns a #DIV/0! error. AVERAGE, VARP, SKEWP, KURT. LANDAU LANDAU approximate probability density function of the Landau distribution LANDAU(x) x: number RANDLANDAU. LAPLACE LAPLACE probability density function of the Laplace distribution LAPLACE(x,a) x: number a: mean RANDLAPLACE. LARGE LARGE k-th largest value in a data set LARGE(data,k) data: data set k: which value to find If data set is empty this function returns a #NUM! error. If k <= 0 or k is greater than the number of data items given this function returns a #NUM! error. This function is Excel compatible. PERCENTILE, PERCENTRANK, QUARTILE, SMALL. LEVERAGE LEVERAGE calculate regression leverage LEVERAGE(A) A: a matrix Returns the diagonal of A (A^T A)^-1 A^T as a column vector. If the matrix is singular, #VALUE! is returned. LINEST LINEST multiple linear regression coefficients and statistics LINEST(known_ys,known_xs,affine,stats) known_ys: vector of values of dependent variable known_xs: array of values of independent variables, defaults to a single vector {1,…,n} affine: if true, the model contains a constant term, defaults to true stats: if true, some additional statistics are provided, defaults to false This function returns an array with the first row giving the regression coefficients for the independent variables x_m, x_(m-1),…,x_2, x_1 followed by the y-intercept if affine is true. If stats is true, the second row contains the corresponding standard errors of the regression coefficients.In this case, the third row contains the R^2 value and the standard error for the predicted value. The fourth row contains the observed F value and its degrees of freedom. Finally, the fifth row contains the regression sum of squares and the residual sum of squares. If affine is false, R^2 is the uncentered version of the coefficient of determination; that is the proportion of the sum of squares explained by the model. If the length of known_ys does not match the corresponding length of known_xs, this function returns a #NUM! error. LOGEST, TREND. LKSTEST LKSTEST Lilliefors (Kolmogorov-Smirnov) Test of Normality LKSTEST(x) x: array of sample values This function returns an array with the first row giving the p-value of the Lilliefors (Kolmogorov-Smirnov) Test, the second row the test statistic of the test, and the third the number of observations in the sample. If there are less than 5 sample values, LKSTEST returns #VALUE! CHITEST, ADTEST, SFTEST, CVMTEST. LOGEST LOGEST exponential least square fit LOGEST(known_ys,known_xs,affine,stat) known_ys: known y-values known_xs: known x-values; default to an array {1, 2, 3, …} affine: if true, the model contains a constant term, defaults to true stat: if true, extra statistical information will be returned; defaults to FALSE LOGEST function applies the “least squares” method to fit an exponential curve of the form y = b * m{1}^x{1} * m{2}^x{2}... to your data. LOGEST returns an array { m{n},m{n-1}, ...,m{1},b }. Extra statistical information is written below the regression line coefficients in the result array. Extra statistical information consists of four rows of data. In the first row the standard error values for the coefficients m1, (m2, ...), b are represented. The second row contains the square of R and the standard error for the y estimate. The third row contains the F-observed value and the degrees of freedom. The last row contains the regression sum of squares and the residual sum of squares. If known_ys and known_xs have unequal number of data points, this function returns a #NUM! error. GROWTH, TREND. LOGFIT LOGFIT logarithmic least square fit (using a trial and error method) LOGFIT(known_ys,known_xs) known_ys: known y-values known_xs: known x-values LOGFIT function applies the “least squares” method to fit the logarithmic equation y = a + b * ln(sign * (x - c)) , sign = +1 or -1 to your data. The graph of the equation is a logarithmic curve moved horizontally by c and possibly mirrored across the y-axis (if sign = -1). LOGFIT returns an array having five columns and one row. `Sign' is given in the first column, `a', `b', and `c' are given in columns 2 to 4. Column 5 holds the sum of squared residuals. An error is returned when there are less than 3 different x's or y's, or when the shape of the point cloud is too different from a ``logarithmic'' one. You can use the above formula = a + b * ln(sign * (x - c)) or rearrange it to = (exp((y - a) / b)) / sign + c to compute unknown y's or x's, respectively. This is non-linear fitting by trial-and-error. The accuracy of `c' is: width of x-range -> rounded to the next smaller (10^integer), times 0.000001. There might be cases in which the returned fit is not the best possible. LOGREG, LINEST, LOGEST. LOGINV LOGINV inverse of the cumulative distribution function of the lognormal distribution LOGINV(p,mean,stddev) p: probability mean: mean stddev: standard deviation If p < 0 or p > 1 or stddev <= 0 this function returns #NUM! error. This function is Excel compatible. EXP, LN, LOG, LOG10, LOGNORMDIST. LOGISTIC LOGISTIC probability density function of the logistic distribution LOGISTIC(x,a) x: number a: scale parameter RANDLOGISTIC. LOGNORMDIST LOGNORMDIST cumulative distribution function of the lognormal distribution LOGNORMDIST(x,mean,stddev) x: number mean: mean stddev: standard deviation If stddev = 0 LOGNORMDIST returns a #DIV/0! error. If x <= 0, mean < 0 or stddev <= 0 this function returns a #NUM! error. This function is Excel compatible. NORMDIST. LOGREG LOGREG the logarithmic regression LOGREG(known_ys,known_xs,affine,stat) known_ys: known y-values known_xs: known x-values; defaults to the array {1, 2, 3, …} affine: if true, the model contains a constant term, defaults to true stat: if true, extra statistical information will be returned; defaults to FALSE LOGREG function transforms your x's to z=ln(x) and applies the “least squares” method to fit the linear equation y = m * z + b to your y's and z's --- equivalent to fitting the equation y = m * ln(x) + b to y's and x's. LOGREG returns an array having two columns and one row. m is given in the first column and b in the second. Any extra statistical information is written below m and b in the result array. This extra statistical information consists of four rows of data: In the first row the standard error values for the coefficients m, b are given. The second row contains the square of R and the standard error for the y estimate. The third row contains the F-observed value and the degrees of freedom. The last row contains the regression sum of squares and the residual sum of squares.The default of stat is FALSE. If known_ys and known_xs have unequal number of data points, this function returns a #NUM! error. LOGFIT, LINEST, LOGEST. MAX MAX largest value, with negative numbers considered smaller than positive numbers MAX(number1,number2,…) number1: first value number2: second value This function is Excel compatible. MIN, ABS. MAXA MAXA largest value, with negative numbers considered smaller than positive numbers MAXA(number1,number2,…) number1: first value number2: second value Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. MAX, MINA. MEDIAN MEDIAN median of a data set MEDIAN(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. If even numbers are given MEDIAN returns the average of the two numbers in the center. This function is Excel compatible. AVERAGE, COUNT, COUNTA, DAVERAGE, MODE, SSMEDIAN, SUM. MIN MIN smallest value, with negative numbers considered smaller than positive numbers MIN(number1,number2,…) number1: first value number2: second value This function is Excel compatible. MAX, ABS. MINA MINA smallest value, with negative numbers considered smaller than positive numbers MINA(number1,number2,…) number1: first value number2: second value Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. MIN, MAXA. MODE MODE first most common number in the dataset MODE(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. If the data set does not contain any duplicates this function returns a #N/A error. This function is Excel compatible. AVERAGE, MEDIAN. NEGBINOMDIST NEGBINOMDIST probability mass function of the negative binomial distribution NEGBINOMDIST(f,t,p) f: number of failures t: threshold number of successes p: probability of a success If f or t is a non-integer it is truncated. If (f + t -1) <= 0 this function returns a #NUM! error. If p < 0 or p > 1 this function returns a #NUM! error. This function is Excel compatible. BINOMDIST, COMBIN, FACT, HYPGEOMDIST, PERMUT. NORMDIST NORMDIST probability density or cumulative distribution function of a normal distribution NORMDIST(x,mean,stddev,cumulative) x: number mean: mean of the distribution stddev: standard deviation of the distribution cumulative: whether to evaluate the density function or the cumulative distribution function If stddev is 0 this function returns a #DIV/0! error. This function is Excel compatible. POISSON. NORMINV NORMINV inverse of the cumulative distribution function of a normal distribution NORMINV(p,mean,stddev) p: probability mean: mean of the distribution stddev: standard deviation of the distribution If p < 0 or p > 1 or stddev <= 0 this function returns a #NUM! error. This function is Excel compatible. NORMDIST, NORMSDIST, NORMSINV, STANDARDIZE, ZTEST. NORMSDIST NORMSDIST cumulative distribution function of the standard normal distribution NORMSDIST(x) x: number This function is Excel compatible. NORMSDIST is the OpenFormula function LEGACY.NORMSDIST. NORMDIST. NORMSINV NORMSINV inverse of the cumulative distribution function of the standard normal distribution NORMSINV(p) p: given probability If p < 0 or p > 1 this function returns #NUM! error. This function is Excel compatible. NORMSINV is the OpenFormula function LEGACY.NORMSINV. NORMDIST, NORMINV, NORMSDIST, STANDARDIZE, ZTEST. OWENT OWENT Owen's T function OWENT(h,a) h: number a: number R.PSNORM, R.PST. PARETO PARETO probability density function of the Pareto distribution PARETO(x,a,b) x: number a: exponent b: scale parameter RANDPARETO. PEARSON PEARSON Pearson correlation coefficient of the paired set of data PEARSON(array1,array2) array1: first component values array2: second component values Strings and empty cells are simply ignored. This function is Excel compatible. INTERCEPT, LINEST, RSQ, SLOPE, STEYX. PERCENTILE PERCENTILE determines the 100*k-th percentile of the given data points PERCENTILE(array,k) array: data points k: which percentile to calculate If array is empty, this function returns a #NUM! error. If k < 0 or k > 1, this function returns a #NUM! error. This function is Excel compatible. QUARTILE. PERCENTRANK PERCENTRANK rank of a data point in a data set PERCENTRANK(array,x,significance) array: range of numeric values x: data point to be ranked significance: number of significant digits, defaults to 3 If array contains no data points, this function returns a #NUM! error. If significance is less than one, this function returns a #NUM! error. If x exceeds the largest value or is less than the smallest value in array, this function returns a #NUM! error. If x does not match any of the values in array or x matches more than once, this function interpolates the returned value. LARGE, MAX, MEDIAN, MIN, PERCENTILE, QUARTILE, SMALL. PERMUT PERMUT number of k-permutations of a n-set PERMUT(n,k) n: size of the base set k: number of elements in each permutation If n = 0 this function returns a #NUM! error. If n < k this function returns a #NUM! error. This function is Excel compatible. COMBIN. PERMUTATIONA PERMUTATIONA the number of permutations of y objects chosen from x objects with repetition allowed PERMUTATIONA(x,y) x: total number of objects y: number of selected objects If both x and y equal 0, PERMUTATIONA returns 1. If x < 0 or y < 0, PERMUTATIONA returns #NUM! If x or y are not integers, they are truncated This function is OpenFormula compatible. POWER. POISSON POISSON probability mass or cumulative distribution function of the Poisson distribution POISSON(x,mean,cumulative) x: number of events mean: mean of the distribution cumulative: whether to evaluate the mass function or the cumulative distribution function If x is a non-integer it is truncated. If x < 0 this function returns a #NUM! error. If mean <= 0 POISSON returns the #NUM! error. This function is Excel compatible. NORMDIST, WEIBULL. PROB PROB probability of an interval for a discrete (and finite) probability distribution PROB(x_range,prob_range,lower_limit,upper_limit) x_range: possible values prob_range: probabilities of the corresponding values lower_limit: lower interval limit upper_limit: upper interval limit, defaults to lower_limit If the sum of the probabilities in prob_range is not equal to 1 this function returns a #NUM! error. If any value in prob_range is <=0 or > 1, this function returns a #NUM! error. If x_range and prob_range contain a different number of data entries, this function returns a #N/A error. This function is Excel compatible. BINOMDIST, CRITBINOM. QUARTILE QUARTILE the k-th quartile of the data points QUARTILE(array,quart) array: data points quart: a number from 0 to 4, indicating which quartile to calculate If array is empty, this function returns a #NUM! error. If quart < 0 or quart > 4, this function returns a #NUM! error. If quart = 0, the smallest value of array to be returned. If quart is not an integer, it is truncated. This function is Excel compatible. LARGE, MAX, MEDIAN, MIN, PERCENTILE, SMALL. R.DBETA R.DBETA probability density function of the beta distribution R.DBETA(x,a,b,give_log) x: observation a: the first shape parameter of the distribution b: the second scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the beta distribution. R.PBETA, R.QBETA. R.DBINOM R.DBINOM probability density function of the binomial distribution R.DBINOM(x,n,psuc,give_log) x: observation n: the number of trials psuc: the probability of success in each trial give_log: if true, log of the result will be returned instead This function returns the probability density function of the binomial distribution. R.PBINOM, R.QBINOM. R.DCAUCHY R.DCAUCHY probability density function of the Cauchy distribution R.DCAUCHY(x,location,scale,give_log) x: observation location: the center of the distribution scale: the scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the Cauchy distribution. R.PCAUCHY, R.QCAUCHY. R.DCHISQ R.DCHISQ probability density function of the chi-square distribution R.DCHISQ(x,df,give_log) x: observation df: the number of degrees of freedom of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the chi-square distribution. A two argument invocation R.DCHISQ(x,df) is exported to OpenFormula as CHISQDIST(x,df,FALSE()). R.PCHISQ, R.QCHISQ. R.DEXP R.DEXP probability density function of the exponential distribution R.DEXP(x,scale,give_log) x: observation scale: the scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the exponential distribution. R.PEXP, R.QEXP. R.DF R.DF probability density function of the F distribution R.DF(x,n1,n2,give_log) x: observation n1: the first number of degrees of freedom of the distribution n2: the second number of degrees of freedom of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the F distribution. R.PF, R.QF. R.DGAMMA R.DGAMMA probability density function of the gamma distribution R.DGAMMA(x,shape,scale,give_log) x: observation shape: the shape parameter of the distribution scale: the scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the gamma distribution. R.PGAMMA, R.QGAMMA. R.DGEOM R.DGEOM probability density function of the geometric distribution R.DGEOM(x,psuc,give_log) x: observation psuc: the probability of success in each trial give_log: if true, log of the result will be returned instead This function returns the probability density function of the geometric distribution. R.PGEOM, R.QGEOM. R.DHYPER R.DHYPER probability density function of the hypergeometric distribution R.DHYPER(x,r,b,n,give_log) x: observation r: the number of red balls b: the number of black balls n: the number of balls drawn give_log: if true, log of the result will be returned instead This function returns the probability density function of the hypergeometric distribution. R.PHYPER, R.QHYPER. R.DLNORM R.DLNORM probability density function of the log-normal distribution R.DLNORM(x,logmean,logsd,give_log) x: observation logmean: mean of the underlying normal distribution logsd: standard deviation of the underlying normal distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the log-normal distribution. R.PLNORM, R.QLNORM. R.DNBINOM R.DNBINOM probability density function of the negative binomial distribution R.DNBINOM(x,n,psuc,give_log) x: observation (number of failures) n: required number of successes psuc: the probability of success in each trial give_log: if true, log of the result will be returned instead This function returns the probability density function of the negative binomial distribution. R.PNBINOM, R.QNBINOM. R.DNORM R.DNORM probability density function of the normal distribution R.DNORM(x,mu,sigma,give_log) x: observation mu: mean of the distribution sigma: standard deviation of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the normal distribution. R.PNORM, R.QNORM. R.DPOIS R.DPOIS probability density function of the Poisson distribution R.DPOIS(x,lambda,give_log) x: observation lambda: the mean of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the Poisson distribution. R.PPOIS, R.QPOIS. R.DSNORM R.DSNORM probability density function of the skew-normal distribution R.DSNORM(x,shape,location,scale,give_log) x: observation shape: the shape parameter of the distribution location: the location parameter of the distribution scale: the scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the skew-normal distribution. R.PSNORM, R.QSNORM. R.DST R.DST probability density function of the skew-t distribution R.DST(x,n,shape,give_log) x: observation n: the number of degrees of freedom of the distribution shape: the shape parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the skew-t distribution. R.PST, R.QST. R.DT R.DT probability density function of the Student t distribution R.DT(x,n,give_log) x: observation n: the number of degrees of freedom of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the Student t distribution. R.PT, R.QT. R.DWEIBULL R.DWEIBULL probability density function of the Weibull distribution R.DWEIBULL(x,shape,scale,give_log) x: observation shape: the shape parameter of the distribution scale: the scale parameter of the distribution give_log: if true, log of the result will be returned instead This function returns the probability density function of the Weibull distribution. R.PWEIBULL, R.QWEIBULL. R.PBETA R.PBETA cumulative distribution function of the beta distribution R.PBETA(x,a,b,lower_tail,log_p) x: observation a: the first shape parameter of the distribution b: the second scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the beta distribution. R.DBETA, R.QBETA. R.PBINOM R.PBINOM cumulative distribution function of the binomial distribution R.PBINOM(x,n,psuc,lower_tail,log_p) x: observation n: the number of trials psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the binomial distribution. R.DBINOM, R.QBINOM. R.PCAUCHY R.PCAUCHY cumulative distribution function of the Cauchy distribution R.PCAUCHY(x,location,scale,lower_tail,log_p) x: observation location: the center of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the Cauchy distribution. R.DCAUCHY, R.QCAUCHY. R.PCHISQ R.PCHISQ cumulative distribution function of the chi-square distribution R.PCHISQ(x,df,lower_tail,log_p) x: observation df: the number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the chi-square distribution. A two argument invocation R.PCHISQ(x,df) is exported to OpenFormula as CHISQDIST(x,df). R.DCHISQ, R.QCHISQ. R.PEXP R.PEXP cumulative distribution function of the exponential distribution R.PEXP(x,scale,lower_tail,log_p) x: observation scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the exponential distribution. R.DEXP, R.QEXP. R.PF R.PF cumulative distribution function of the F distribution R.PF(x,n1,n2,lower_tail,log_p) x: observation n1: the first number of degrees of freedom of the distribution n2: the second number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the F distribution. R.DF, R.QF. R.PGAMMA R.PGAMMA cumulative distribution function of the gamma distribution R.PGAMMA(x,shape,scale,lower_tail,log_p) x: observation shape: the shape parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the gamma distribution. R.DGAMMA, R.QGAMMA. R.PGEOM R.PGEOM cumulative distribution function of the geometric distribution R.PGEOM(x,psuc,lower_tail,log_p) x: observation psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the geometric distribution. R.DGEOM, R.QGEOM. R.PHYPER R.PHYPER cumulative distribution function of the hypergeometric distribution R.PHYPER(x,r,b,n,lower_tail,log_p) x: observation r: the number of red balls b: the number of black balls n: the number of balls drawn lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the hypergeometric distribution. R.DHYPER, R.QHYPER. R.PLNORM R.PLNORM cumulative distribution function of the log-normal distribution R.PLNORM(x,logmean,logsd,lower_tail,log_p) x: observation logmean: mean of the underlying normal distribution logsd: standard deviation of the underlying normal distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the log-normal distribution. R.DLNORM, R.QLNORM. R.PNBINOM R.PNBINOM cumulative distribution function of the negative binomial distribution R.PNBINOM(x,n,psuc,lower_tail,log_p) x: observation (number of failures) n: required number of successes psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the negative binomial distribution. R.DNBINOM, R.QNBINOM. R.PNORM R.PNORM cumulative distribution function of the normal distribution R.PNORM(x,mu,sigma,lower_tail,log_p) x: observation mu: mean of the distribution sigma: standard deviation of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the normal distribution. R.DNORM, R.QNORM. R.PPOIS R.PPOIS cumulative distribution function of the Poisson distribution R.PPOIS(x,lambda,lower_tail,log_p) x: observation lambda: the mean of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the Poisson distribution. R.DPOIS, R.QPOIS. R.PSNORM R.PSNORM cumulative distribution function of the skew-normal distribution R.PSNORM(x,shape,location,scale,lower_tail,log_p) x: observation shape: the shape parameter of the distribution location: the location parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the skew-normal distribution. R.DSNORM, R.QSNORM. R.PST R.PST cumulative distribution function of the skew-t distribution R.PST(x,n,shape,lower_tail,log_p) x: observation n: the number of degrees of freedom of the distribution shape: the shape parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the skew-t distribution. R.DST, R.QST. R.PT R.PT cumulative distribution function of the Student t distribution R.PT(x,n,lower_tail,log_p) x: observation n: the number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the Student t distribution. R.DT, R.QT. R.PTUKEY R.PTUKEY cumulative distribution function of the Studentized range distribution R.PTUKEY(x,nmeans,df,nranges,lower_tail,log_p) x: observation nmeans: the number of means df: the number of degrees of freedom of the distribution nranges: the number of ranges; default is 1 lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the Studentized range distribution. R.QTUKEY. R.PWEIBULL R.PWEIBULL cumulative distribution function of the Weibull distribution R.PWEIBULL(x,shape,scale,lower_tail,log_p) x: observation shape: the shape parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the cumulative distribution function of the Weibull distribution. R.DWEIBULL, R.QWEIBULL. R.QBETA R.QBETA probability quantile function of the beta distribution R.QBETA(p,a,b,lower_tail,log_p) p: probability or natural logarithm of the probability a: the first shape parameter of the distribution b: the second scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the beta distribution. R.DBETA, R.PBETA. R.QBINOM R.QBINOM probability quantile function of the binomial distribution R.QBINOM(p,n,psuc,lower_tail,log_p) p: probability or natural logarithm of the probability n: the number of trials psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the binomial distribution. R.DBINOM, R.PBINOM. R.QCAUCHY R.QCAUCHY probability quantile function of the Cauchy distribution R.QCAUCHY(p,location,scale,lower_tail,log_p) p: probability or natural logarithm of the probability location: the center of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the Cauchy distribution. R.DCAUCHY, R.PCAUCHY. R.QCHISQ R.QCHISQ probability quantile function of the chi-square distribution R.QCHISQ(p,df,lower_tail,log_p) p: probability or natural logarithm of the probability df: the number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the chi-square distribution. A two argument invocation R.QCHISQ(p,df) is exported to OpenFormula as CHISQINV(p,df). R.DCHISQ, R.PCHISQ. R.QEXP R.QEXP probability quantile function of the exponential distribution R.QEXP(p,scale,lower_tail,log_p) p: probability or natural logarithm of the probability scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the exponential distribution. R.DEXP, R.PEXP. R.QF R.QF probability quantile function of the F distribution R.QF(p,n1,n2,lower_tail,log_p) p: probability or natural logarithm of the probability n1: the first number of degrees of freedom of the distribution n2: the second number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the F distribution. R.DF, R.PF. R.QGAMMA R.QGAMMA probability quantile function of the gamma distribution R.QGAMMA(p,shape,scale,lower_tail,log_p) p: probability or natural logarithm of the probability shape: the shape parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the gamma distribution. R.DGAMMA, R.PGAMMA. R.QGEOM R.QGEOM probability quantile function of the geometric distribution R.QGEOM(p,psuc,lower_tail,log_p) p: probability or natural logarithm of the probability psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the geometric distribution. R.DGEOM, R.PGEOM. R.QHYPER R.QHYPER probability quantile function of the hypergeometric distribution R.QHYPER(p,r,b,n,lower_tail,log_p) p: probability or natural logarithm of the probability r: the number of red balls b: the number of black balls n: the number of balls drawn lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the hypergeometric distribution. R.DHYPER, R.PHYPER. R.QLNORM R.QLNORM probability quantile function of the log-normal distribution R.QLNORM(p,logmean,logsd,lower_tail,log_p) p: probability or natural logarithm of the probability logmean: mean of the underlying normal distribution logsd: standard deviation of the underlying normal distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the log-normal distribution. R.DLNORM, R.PLNORM. R.QNBINOM R.QNBINOM probability quantile function of the negative binomial distribution R.QNBINOM(p,n,psuc,lower_tail,log_p) p: probability or natural logarithm of the probability n: required number of successes psuc: the probability of success in each trial lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the negative binomial distribution. R.DNBINOM, R.PNBINOM. R.QNORM R.QNORM probability quantile function of the normal distribution R.QNORM(p,mu,sigma,lower_tail,log_p) p: probability or natural logarithm of the probability mu: mean of the distribution sigma: standard deviation of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the normal distribution. R.DNORM, R.PNORM. R.QPOIS R.QPOIS probability quantile function of the Poisson distribution R.QPOIS(p,lambda,lower_tail,log_p) p: probability or natural logarithm of the probability lambda: the mean of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the Poisson distribution. R.DPOIS, R.PPOIS. R.QSNORM R.QSNORM probability quantile function of the skew-normal distribution R.QSNORM(p,shape,location,scale,lower_tail,log_p) p: probability or natural logarithm of the probability shape: the shape parameter of the distribution location: the location parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the skew-normal distribution. R.DSNORM, R.PSNORM. R.QST R.QST probability quantile function of the skew-t distribution R.QST(p,n,shape,lower_tail,log_p) p: probability or natural logarithm of the probability n: the number of degrees of freedom of the distribution shape: the shape parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the skew-t distribution. R.DST, R.PST. R.QT R.QT probability quantile function of the Student t distribution R.QT(p,n,lower_tail,log_p) p: probability or natural logarithm of the probability n: the number of degrees of freedom of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the Student t distribution. R.DT, R.PT. R.QTUKEY R.QTUKEY probability quantile function of the Studentized range distribution R.QTUKEY(p,nmeans,df,nranges,lower_tail,log_p) p: probability or natural logarithm of the probability nmeans: the number of means df: the number of degrees of freedom of the distribution nranges: the number of ranges; default is 1 lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the Studentized range distribution. R.PTUKEY. R.QWEIBULL R.QWEIBULL probability quantile function of the Weibull distribution R.QWEIBULL(p,shape,scale,lower_tail,log_p) p: probability or natural logarithm of the probability shape: the shape parameter of the distribution scale: the scale parameter of the distribution lower_tail: if true (the default), the lower tail of the distribution is considered log_p: if true, the natural logarithm of the probability is given or returned; defaults to false This function returns the probability quantile function, i.e., the inverse of the cumulative distribution function, of the Weibull distribution. R.DWEIBULL, R.PWEIBULL. RANK RANK rank of a number in a list of numbers RANK(x,ref,order) x: number whose rank you want to find ref: list of numbers order: 0 (descending order) or non-zero (ascending order); defaults to 0 In case of a tie, RANK returns the largest possible rank. This function is Excel compatible. PERCENTRANK, RANK.AVG. RANK.AVG RANK.AVG rank of a number in a list of numbers RANK.AVG(x,ref,order) x: number whose rank you want to find ref: list of numbers order: 0 (descending order) or non-zero (ascending order); defaults to 0 In case of a tie, RANK returns the average rank. This function is Excel 2010 compatible. PERCENTRANK, RANK. RAYLEIGH RAYLEIGH probability density function of the Rayleigh distribution RAYLEIGH(x,sigma) x: number sigma: scale parameter RANDRAYLEIGH. RAYLEIGHTAIL RAYLEIGHTAIL probability density function of the Rayleigh tail distribution RAYLEIGHTAIL(x,a,sigma) x: number a: lower limit sigma: scale parameter RANDRAYLEIGHTAIL. RSQ RSQ square of the Pearson correlation coefficient of the paired set of data RSQ(array1,array2) array1: first component values array2: second component values Strings and empty cells are simply ignored. This function is Excel compatible. CORREL, COVAR, INTERCEPT, LINEST, LOGEST, PEARSON, SLOPE, STEYX, TREND. SFTEST SFTEST Shapiro-Francia Test of Normality SFTEST(x) x: array of sample values This function returns an array with the first row giving the p-value of the Shapiro-Francia Test, the second row the test statistic of the test, and the third the number of observations in the sample. If there are less than 5 or more than 5000 sample values, SFTEST returns #VALUE! CHITEST, ADTEST, LKSTEST, CVMTEST. SKEW SKEW unbiased estimate for skewness of a distribution SKEW(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. This is only meaningful if the underlying distribution really has a third moment. The skewness of a symmetric (e.g., normal) distribution is zero. If less than three numbers are given, this function returns a #DIV/0! error. This function is Excel compatible. AVERAGE, VAR, SKEWP, KURT. SKEWP SKEWP population skewness of a data set SKEWP(number1,number2,…) number1: first value number2: second value Strings and empty cells are simply ignored. If less than two numbers are given, SKEWP returns a #DIV/0! error. AVERAGE, VARP, SKEW, KURTP. SLOPE SLOPE the slope of a linear regression line SLOPE(known_ys,known_xs) known_ys: known y-values known_xs: known x-values If known_xs or known_ys contains no data entries or different number of data entries, this function returns a #N/A error. If the variance of the known_xs is zero, this function returns #DIV/0 error. This function is Excel compatible. STDEV, STDEVPA. SMALL SMALL k-th smallest value in a data set SMALL(data,k) data: data set k: which value to find If data set is empty this function returns a #NUM! error. If k <= 0 or k is greater than the number of data items given this function returns a #NUM! error. This function is Excel compatible. PERCENTILE, PERCENTRANK, QUARTILE, LARGE. SNORM.DIST.RANGE SNORM.DIST.RANGE probability of the standard normal distribution over an interval SNORM.DIST.RANGE(x1,x2) x1: start of the interval x2: end of the interval This function returns the cumulative probability over a range of the standard normal distribution; that is the integral over the probability density function from x1 to x2. If x1>x2, this function returns a negative value. NORMSDIST, R.PNORM, R.QNORM, R.DNORM. SSMEDIAN SSMEDIAN median for grouped data SSMEDIAN(array,interval) array: data set interval: length of each grouping interval, defaults to 1 The data are assumed to be grouped into intervals of width interval. Each data point in array is the midpoint of the interval containing the true value. The median is calculated by interpolation within the median interval (the interval containing the median value), assuming that the true values within that interval are distributed uniformly: median = L + interval*(N/2 - CF)/F where: L = the lower limit of the median interval N = the total number of data points CF = the number of data points below the median interval F = the number of data points in the median interval If array is empty, this function returns a #NUM! error. If interval <= 0, this function returns a #NUM! error. SSMEDIAN does not check whether the data points are at least interval apart. MEDIAN. STANDARDIZE STANDARDIZE z-score of a value STANDARDIZE(x,mean,stddev) x: value mean: mean of the original distribution stddev: standard deviation of the original distribution If stddev is 0 this function returns a #DIV/0! error. This function is Excel compatible. AVERAGE. STDEV STDEV sample standard deviation of the given sample STDEV(area1,area2,…) area1: first cell area area2: second cell area STDEV is also known as the N-1-standard deviation. To obtain the population standard deviation of a whole population use STDEVP. This function is Excel compatible. AVERAGE, DSTDEV, DSTDEVP, STDEVA, STDEVPA, VAR. STDEVA STDEVA sample standard deviation of the given sample STDEVA(area1,area2,…) area1: first cell area area2: second cell area STDEVA is also known as the N-1-standard deviation. To obtain the population standard deviation of a whole population use STDEVPA. Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. STDEV, STDEVPA. STDEVP STDEVP population standard deviation of the given population STDEVP(area1,area2,…) area1: first cell area area2: second cell area This is also known as the N-standard deviation This function is Excel compatible. STDEV, STDEVA, STDEVPA. STDEVPA STDEVPA population standard deviation of an entire population STDEVPA(area1,area2,…) area1: first cell area area2: second cell area This is also known as the N-standard deviation Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. STDEVA, STDEVP. STEYX STEYX standard error of the predicted y-value in the regression STEYX(known_ys,known_xs) known_ys: known y-values known_xs: known x-values If known_ys and known_xs are empty or have a different number of arguments then this function returns a #N/A error. This function is Excel compatible. PEARSON, RSQ, SLOPE. SUBTOTAL SUBTOTAL the subtotal of the given list of arguments SUBTOTAL(function_nbr,ref1,ref2,…) function_nbr: determines which function to use according to the following table: 1 AVERAGE 2 COUNT 3 COUNTA 4 MAX 5 MIN 6 PRODUCT 7 STDEV 8 STDEVP 9 SUM 10 VAR 11 VARP ref1: first value ref2: second value This function is Excel compatible. COUNT, SUM. TDIST TDIST survival function of the Student t-distribution TDIST(x,dof,tails) x: number dof: number of degrees of freedom tails: 1 or 2 The survival function is 1 minus the cumulative distribution function. This function is Excel compatible for non-negative x. If dof < 1 this function returns a #NUM! error. If tails is neither 1 or 2 this function returns a #NUM! error. The parameterization of this function is different from what is used for, e.g., NORMSDIST. This is a common source of mistakes, but necessary for compatibility. TINV, TTEST. TINV TINV two tailed inverse of the Student t-distribution TINV(p,dof) p: probability in both tails dof: number of degrees of freedom This function returns the non-negative value x such that the area under the Student t density with dof degrees of freedom to the right of x is p/2. If p < 0 or p > 1 or dof < 1 this function returns a #NUM! error. The parameterization of this function is different from what is used for, e.g., NORMSINV. This is a common source of mistakes, but necessary for compatibility. This function is Excel compatible. TDIST, TTEST. TREND TREND estimates future values of a given data set using a least squares approximation TREND(known_ys,known_xs,new_xs,affine) known_ys: vector of values of dependent variable known_xs: array of values of independent variables, defaults to a single vector {1,…,n} new_xs: array of x-values for which to estimate the y-values; defaults to known_xs affine: if true, the model contains a constant term, defaults to true If the length of known_ys does not match the corresponding length of known_xs, this function returns a #NUM! error. LINEST. TRIMMEAN TRIMMEAN mean of the interior of a data set TRIMMEAN(ref,fraction) ref: list of numbers whose mean you want to calculate fraction: fraction of the data set excluded from the mean If fraction=0.2 and the data set contains 40 numbers, 8 numbers are trimmed from the data set (40 x 0.2): the 4 largest and the 4 smallest. To avoid a bias, the number of points to be excluded is always rounded down to the nearest even number. This function is Excel compatible. AVERAGE, GEOMEAN, HARMEAN, MEDIAN, MODE. TTEST TTEST p-value for a hypothesis test comparing the means of two populations using the Student t-distribution TTEST(array1,array2,tails,type) array1: sample from the first population array2: sample from the second population tails: number of tails to consider type: Type of test to perform. 1 indicates a test for paired variables, 2 a test of unpaired variables with equal variances, and 3 a test of unpaired variables with unequal variances If the data sets contain a different number of data points and the test is paired (type one), TTEST returns the #N/A error. tails and type are truncated to integers. If tails is not one or two, this function returns a #NUM! error. If type is any other than one, two, or three, this function returns a #NUM! error. This function is Excel compatible. FDIST, FINV. VAR VAR sample variance of the given sample VAR(area1,area2,…) area1: first cell area area2: second cell area VAR is also known as the N-1-variance. Since the N-1-variance includes Bessel's correction, whereas the N-variance calculated by VARPA or VARP does not, under reasonable conditions the N-1-variance is an unbiased estimator of the variance of the population from which the sample is drawn. This function is Excel compatible. VARP, STDEV, VARA. VARA VARA sample variance of the given sample VARA(area1,area2,…) area1: first cell area area2: second cell area VARA is also known as the N-1-variance. To get the true variance of a complete population use VARPA. Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. Since the N-1-variance includes Bessel's correction, whereas the N-variance calculated by VARPA or VARP does not, under reasonable conditions the N-1-variance is an unbiased estimator of the variance of the population from which the sample is drawn. This function is Excel compatible. VAR, VARPA. VARP VARP variance of an entire population VARP(area1,area2,…) area1: first cell area area2: second cell area VARP is also known as the N-variance. AVERAGE, DVAR, DVARP, STDEV, VAR. VARPA VARPA variance of an entire population VARPA(area1,area2,…) area1: first cell area area2: second cell area VARPA is also known as the N-variance. Numbers, text and logical values are included in the calculation too. If the cell contains text or the argument evaluates to FALSE, it is counted as value zero (0). If the argument evaluates to TRUE, it is counted as one (1). Note that empty cells are not counted. This function is Excel compatible. VARA, VARP. WEIBULL WEIBULL probability density or cumulative distribution function of the Weibull distribution WEIBULL(x,alpha,beta,cumulative) x: number alpha: scale parameter beta: scale parameter cumulative: whether to evaluate the density function or the cumulative distribution function If the cumulative boolean is true it will return: 1 - exp (-(x/beta)^alpha),otherwise it will return (alpha/beta^alpha) * x^(alpha-1) * exp(-(x/beta^alpha)). If x < 0 this function returns a #NUM! error. If alpha <= 0 or beta <= 0 this function returns a #NUM! error. This function is Excel compatible. POISSON. ZTEST ZTEST the probability of observing a sample mean as large as or larger than the mean of the given sample ZTEST(ref,x,stddev) ref: data set (sample) x: population mean stddev: population standard deviation, defaults to the sample standard deviation ZTEST calculates the probability of observing a sample mean as large as or larger than the mean of the given sample for samples drawn from a normal distribution with mean x and standard deviation stddev. If ref contains less than two data items ZTEST returns #DIV/0! error. This function is Excel compatible. This function is OpenFormula compatible. CONFIDENCE, NORMDIST, NORMINV, NORMSDIST, NORMSINV, STANDARDIZE. ASC ASC text with full-width katakana and ASCII characters converted to half-width ASC(text) text: string ASC converts full-width katakana and ASCII characters to half-width equivalent characters, copying all others. The distinction between half-width and full-width characters is described in http://www.unicode.org/reports/tr11/. While in obsolete encodings ASC used to translate between 2-byte and 1-byte characters, this is not the case in UTF-8. For most strings, this function has the same effect as in Excel. This function is OpenFormula compatible. JIS. CHAR CHAR the CP1252 (Windows-1252) character for the code point x CHAR(x) x: code point CHAR(x) returns the CP1252 (Windows-1252) character with code x. x must be in the range 1 to 255. CP1252 (Windows-1252) is also known as the "ANSI code page", but it is not an ANSI standard. CP1252 (Windows-1252) is based on an early draft of ISO-8859-1, and contains all of its printable characters. It also contains all of ISO-8859-15's printable characters (but partially at different positions.) This function is Excel compatible. In CP1252 (Windows-1252), 129, 141, 143, 144, and 157 do not have matching characters. For x from 1 to 255 except 129, 141, 143, 144, and 157 we have CODE(CHAR(x))=x. CODE. CLEAN CLEAN text with any non-printable characters removed CLEAN(text) text: string CLEAN removes non-printable characters from its argument leaving only regular characters and white-space. This function is Excel compatible. CODE CODE the CP1252 (Windows-1252) code point for the character c CODE(c) c: character c must be a valid CP1252 (Windows-1252) character. CP1252 (Windows-1252) is also known as the "ANSI code page", but it is not an ANSI standard. CP1252 (Windows-1252) is based on an early draft of ISO-8859-1, and contains all of its printable characters (but partially at different positions.) This function is Excel compatible. In CP1252 (Windows-1252), 129, 141, 143, 144, and 157 do not have matching characters. For x from 1 to 255 except 129, 141, 143, 144, and 157 we have CODE(CHAR(x))=x. CHAR. CONCATENATE CONCATENATE the concatenation of the strings s1, s2,… CONCATENATE(s1,s2,…) s1: first string s2: second string This function is Excel compatible. LEFT, MID, RIGHT. DOLLAR DOLLAR num formatted as currency DOLLAR(num,decimals) num: number decimals: decimals This function is Excel compatible. FIXED, TEXT, VALUE. EXACT EXACT TRUE if string1 is exactly equal to string2 EXACT(string1,string2) string1: first string string2: second string This function is Excel compatible. LEN, SEARCH, DELTA. FIND FIND first position of string1 in string2 following position start FIND(string1,string2,start) string1: search string string2: search field start: starting position, defaults to 1 This search is case-sensitive. This function is Excel compatible. EXACT, LEN, MID, SEARCH. FINDB FINDB first byte position of string1 in string2 following byte position start FINDB(string1,string2,start) string1: search string string2: search field start: starting byte position, defaults to 1 This search is case-sensitive. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. FIND, LEFTB, RIGHTB, LENB, LEFT, MID, RIGHT, LEN. FIXED FIXED formatted string representation of num FIXED(num,decimals,no_commas) num: number decimals: number of decimals no_commas: TRUE if no thousand separators should be used, defaults to FALSE This function is Excel compatible. TEXT, VALUE, DOLLAR. JIS JIS text with half-width katakana and ASCII characters converted to full-width JIS(text) text: original text JIS converts half-width katakana and ASCII characters to full-width equivalent characters, copying all others. The distinction between half-width and full-width characters is described in http://www.unicode.org/reports/tr11/. While in obsolete encodings JIS used to translate between 1-byte and 2-byte characters, this is not the case in UTF-8. For most strings, this function has the same effect as in Excel. This function is OpenFormula compatible. ASC. LEFT LEFT the first num_chars characters of the string s LEFT(s,num_chars) s: the string num_chars: the number of characters to return (defaults to 1) If the string s is in a right-to-left script, the returned first characters are from the right of the string. This function is Excel compatible. This function is OpenFormula compatible. MID, RIGHT, LEN, MIDB, RIGHTB, LENB. LEFTB LEFTB the first characters of the string s comprising at most num_bytes bytes LEFTB(s,num_bytes) s: the string num_bytes: the maximum number of bytes to return (defaults to 1) The semantics of this function is subject to change as various applications implement it. If the string is in a right-to-left script, the returned first characters are from the right of the string. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. MIDB, RIGHTB, LENB, LEFT, MID, RIGHT, LEN. LEN LEN the number of characters of the string s LEN(s) s: the string This function is Excel compatible. CHAR, CODE, LENB. LENB LENB the number of bytes in the string s LENB(s) s: the string This function is Excel compatible. CHAR, CODE, LEN. LOWER LOWER a lower-case version of the string text LOWER(text) text: string This function is Excel compatible. UPPER. MID MID the substring of the string s starting at position position consisting of length characters MID(s,position,length) s: the string position: the starting position length: the number of characters to return This function is Excel compatible. This function is OpenFormula compatible. LEFT, RIGHT, LEN, LEFTB, MIDB, RIGHTB, LENB. MIDB MIDB the characters following the first start_pos bytes comprising at most num_bytes bytes MIDB(s,start_pos,num_bytes) s: the string start_pos: the number of the byte with which to start (defaults to 1) num_bytes: the maximum number of bytes to return (defaults to 1) The semantics of this function is subject to change as various applications implement it. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. LEFTB, RIGHTB, LENB, LEFT, MID, RIGHT, LEN. NUMBERVALUE NUMBERVALUE numeric value of text NUMBERVALUE(text,separator) text: string separator: decimal separator If text does not look like a decimal number, NUMBERVALUE returns the value VALUE would return (ignoring the given separator). This function is OpenFormula compatible. VALUE. PROPER PROPER text with initial of each word capitalised PROPER(text) text: string This function is Excel compatible. LOWER, UPPER. REPLACE REPLACE string old with num characters starting at start replaced by new REPLACE(old,start,num,new) old: original text start: starting position num: number of characters to be replaced new: replacement string This function is Excel compatible. MID, SEARCH, SUBSTITUTE, TRIM. REPLACEB REPLACEB string old with up to num bytes starting at start replaced by new REPLACEB(old,start,num,new) old: original text start: starting byte position num: number of bytes to be replaced new: replacement string REPLACEB replaces the string of valid unicode characters starting at the byte start and ending at start+num-1 with the string new. The semantics of this function is subject to change as various applications implement it. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. MID, SEARCH, SUBSTITUTE, TRIM. REPT REPT num repetitions of string text REPT(text,num) text: string num: non-negative integer This function is Excel compatible. CONCATENATE. RIGHT RIGHT the last num_chars characters of the string s RIGHT(s,num_chars) s: the string num_chars: the number of characters to return (defaults to 1) If the string s is in a right-to-left script, the returned last characters are from the left of the string. This function is Excel compatible. This function is OpenFormula compatible. LEFT, MID, LEN, LEFTB, MIDB, RIGHTB, LENB. RIGHTB RIGHTB the last characters of the string s comprising at most num_bytes bytes RIGHTB(s,num_bytes) s: the string num_bytes: the maximum number of bytes to return (defaults to 1) The semantics of this function is subject to change as various applications implement it. If the string s is in a right-to-left script, the returned last characters are from the left of the string. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. LEFTB, MIDB, LENB, LEFT, MID, RIGHT, LEN. SEARCH SEARCH the location of the search string within text after position start SEARCH(search,text,start) search: search string text: search field start: starting position, defaults to 1 search may contain wildcard characters (*) and question marks (?). A question mark matches any single character, and a wildcard matches any string including the empty string. To search for * or ?, precede the symbol with ~. This search is not case sensitive. If search is not found, SEARCH returns #VALUE! If start is less than one or it is greater than the length of text, SEARCH returns #VALUE! This function is Excel compatible. FIND, SEARCHB. SEARCHB SEARCHB the location of the search string within text after byte position start SEARCHB(search,text,start) search: search string text: search field start: starting byte position, defaults to 1 search may contain wildcard characters (*) and question marks (?). A question mark matches any single character, and a wildcard matches any string including the empty string. To search for * or ?, precede the symbol with ~. This search is not case sensitive. If search is not found, SEARCHB returns #VALUE! If start is less than one or it is greater than the byte length of text, SEARCHB returns #VALUE! The semantics of this function is subject to change as various applications implement it. While this function is syntactically Excel compatible, the differences in the underlying text encoding will usually yield different results. While this function is OpenFormula compatible, most of its behavior is, at this time, implementation specific. FINDB, SEARCH. SUBSTITUTE SUBSTITUTE text with all occurrences of old replaced by new SUBSTITUTE(text,old,new,num) text: original text old: string to be replaced new: replacement string num: if num is specified and a number only the numth occurrence of old is replaced This function is Excel compatible. REPLACE, TRIM. T T value if and only if value is text, otherwise empty T(value) value: original value This function is Excel compatible. CELL, N, VALUE. TEXT TEXT value as a string formatted as format TEXT(value,format) value: value to be formatted format: desired format This function is Excel compatible. DOLLAR, FIXED, VALUE. TRIM TRIM text with only single spaces between words TRIM(text) text: string This function is Excel compatible. CLEAN, MID, REPLACE, SUBSTITUTE. UNICHAR UNICHAR the Unicode character represented by the Unicode code point x UNICHAR(x) x: Unicode code point CHAR, UNICODE, CODE. UNICODE UNICODE the Unicode code point for the character c UNICODE(c) c: character UNICHAR, CODE, CHAR. UPPER UPPER an upper-case version of the string text UPPER(text) text: string This function is Excel compatible. LOWER. VALUE VALUE numeric value of text VALUE(text) text: string This function is Excel compatible. DOLLAR, FIXED, TEXT.