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2240
//!
//! This section describes functions for various mathematical functions,
//! including trigonometric functions like SIN 6.16.55). Note that the
//! constraint text presumes that a value of type Number is a real number (no
//! imaginary component). Unless noted otherwise, all angle measurements are in
//! radians.
use crate::*;
use crate*;
/// Return the absolute (nonnegative) value.
///
/// [documentfoundation->ABS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ABS)
///
/// __Syntax__:
/// ```ods
/// ABS( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// If N < 0, returns -N, otherwise returns N.
///
/// __See also__: [crate::of::prefix operator “-”()],
/// Returns the principal value of the arc cosine of a number. The angle is
/// returned in radians.
///
/// [documentfoundation->ACOS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOS)
///
/// __Syntax__:
/// ```ods
/// ACOS( N: Number )
/// ```
///
/// __Constraints__:
/// -1.0 ≤ N ≤ 1.0.
///
/// __Semantics__:
/// Computes the arc cosine of a number, in radians.
///
/// Returns a principal value 0 ≤ result ≤ π.
///
/// __See also__: [crate::of::cos()], [crate::of::radians()], [crate::of::degrees()],
/// Return the principal value of the inverse hyperbolic cosine.
///
/// [documentfoundation->ACOSH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOSH)
///
/// __Syntax__:
/// ```ods
/// ACOSH( N: Number )
/// ```
///
/// __Constraints__:
/// N ≥ 1
///
/// __Semantics__:
/// Computes the principal value of the inverse hyperbolic cosine.
///
/// __See also__: [crate::of::cosh()], [crate::of::asinh()],
/// Return the principal value of the arc cotangent of a number. The angle is
/// returned in radians.
///
/// [documentfoundation->ACOT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOT)
///
/// __Syntax__:
/// ```ods
/// ACOT( N: Number )
/// ```
///
/// __Semantics__:
/// Computes the arc cotangent of a number, in radians.
///
/// Returns a principal value 0 < result < π.
///
/// __See also__: [crate::of::cot()], [crate::of::atan()], [crate::of::tan()], [crate::of::radians()], [crate::of::degrees()],
/// Return the hyperbolic arc cotangent
///
/// [documentfoundation->ACOTH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOTH)
///
/// __Syntax__:
/// ```ods
/// ACOTH( N: Number )
/// ```
///
/// __Constraints__:
/// ABS(N) > 1
///
/// __Semantics__:
/// Computes the hyperbolic arc cotangent. The hyperbolic arc cotangent is an
/// analog of the ordinary (circular) arc cotangent.
///
/// __See also__: [crate::of::cosh()], [crate::of::asinh()],
/// Return the principal value of the arc sine of a number. The angle is
/// returned in radians.
///
/// [documentfoundation->ASIN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ASIN)
///
/// __Syntax__:
/// ```ods
/// ASIN( N: Number )
/// ```
///
/// __Constraints__:
/// -1 ≤ N ≤ 1.
///
/// __Semantics__:
/// Computes the arc sine of a number, in radians.
///
/// Returns a principal value -π/2 ≤ result ≤ π/2.
///
/// __See also__: [crate::of::sin()], [crate::of::radians()], [crate::of::degrees()],
/// Return the principal value of the inverse hyperbolic sine
///
/// [documentfoundation->ASINH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ASINH)
///
/// __Syntax__:
/// ```ods
/// ASINH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the principal value of the inverse hyperbolic sine.
///
/// __See also__: [crate::of::sinh()], [crate::of::acosh()],
/// Return the principal value of the arc tangent of a number. The angle is
/// returned in radians.
///
/// [documentfoundation->ATAN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ATAN)
///
/// __Syntax__:
/// ```ods
/// ATAN( N: Number )
/// ```
///
/// __Semantics__:
/// Computes the arc tangent of a number, in radians.
///
/// Returns a principal value -π/2 < result < π/2.
///
/// __See also__: [crate::of::atan2()], [crate::of::tan()], [crate::of::radians()], [crate::of::degrees()],
/// Returns the principal value of the arc tangent given a coordinate of two
/// numbers.
///
/// The angle is returned in radians.
///
/// [documentfoundation->ATAN2](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ATAN2)
///
/// __Syntax__:
/// ```ods
/// ATAN2( x: Number; y: Number )
/// ```
///
/// __Constraints__:
/// x ≠ 0 or y ≠ 0
///
/// __Semantics__:
/// Computes the arc tangent of two numbers (the x and y coordinates of a
/// point), in radians. This is similar to ATAN(y/x), but the signs of the two
/// numbers are taken into account so that the result covers the full range
/// from -π to +π. ATAN2(0;0) is implementation-defined, evaluators may
/// return 0 or an Error.
///
/// Returns a principal value -π < result ≤ π.
///
/// __See also__: [crate::of::atan()], [crate::of::tan()], [crate::of::radians()], [crate::of::degrees()],
/// Return the principal value of the inverse hyperbolic tangent
///
/// [documentfoundation->ATANH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ATANH)
///
/// __Syntax__:
/// ```ods
/// ATANH( N: Number )
/// ```
///
/// __Constraints__:
/// -1 < N < 1
///
/// __Semantics__:
/// Computes the principal value of the inverse hyperbolic tangent.
///
/// __See also__: [crate::of::cosh()], [crate::of::sinh()], [crate::of::asinh()], [crate::of::acosh()], [crate::of::atan()], [crate::of::atan2()], [crate::of::fisher()],
/// Returns the modified Bessel function of integer order In(X).
///
/// [documentfoundation->BESSELI](https://wiki.documentfoundation.org/Documentation/Calc_Functions/BESSELI)
///
/// __Syntax__:
/// ```ods
/// BESSELI( X: Number; N: Number )
/// ```
///
/// __Constraints__:
/// N ≥ 0, INT(N) = N; Evaluators may evaluate expressions where N ≥ 0
/// returns a non-error value.
///
/// __Semantics__:
/// Computes the modified Bessel function of integer order In(X). N is also
/// known as the order.
///
/// __See also__: [crate::of::besselj()], [crate::of::besselk()], [crate::of::bessely()], [crate::of::int()],
/// Returns the Bessel function of integer order Jn(X) (cylinder function)
///
/// [documentfoundation->BESSELJ](https://wiki.documentfoundation.org/Documentation/Calc_Functions/BESSELJ)
///
/// __Syntax__:
/// ```ods
/// BESSELJ( X: Number; N: Number )
/// ```
///
/// __Constraints__:
/// N ≥ 0, INT(N) = N; Evaluators may evaluate expressions where N ≥ 0
/// returns a non-error value.
///
/// __Semantics__:
/// Computes the Bessel function of integer order Jn(X). N is also known as the
/// order.
///
/// __See also__: [crate::of::besseli()], [crate::of::besselk()], [crate::of::bessely()], [crate::of::int()],
/// Returns the modified Bessel function of integer order Kn(x).
///
/// [documentfoundation->BESSELK](https://wiki.documentfoundation.org/Documentation/Calc_Functions/BESSELK)
///
/// __Syntax__:
/// ```ods
/// BESSELK( X: Number; N: Number )
/// ```
///
/// __Constraints__:
/// X ≠ 0, N ≥ 0, INT(N) = N; Evaluators may evaluate expressions where N
/// ≥ 0 returns a non-error value.
///
/// __Semantics__:
/// Computes the Bessel function of integer order Kn(x). N is also known as the
/// order.
///
/// __See also__: [crate::of::besseli()], [crate::of::besselj()], [crate::of::bessely()], [crate::of::int()],
/// Returns the Bessel function of integer order Yn(X), also known as the
/// Neumann function.
///
/// [documentfoundation->BESSELY](https://wiki.documentfoundation.org/Documentation/Calc_Functions/BESSELY)
///
/// __Syntax__:
/// ```ods
/// BESSELY( X: Number; N: Number )
/// ```
///
/// __Constraints__:
/// X ≠ 0, N ≥ 0, INT(N) = N; Evaluators may evaluate expressions where N
/// ≥ 0 returns a non-error value.
///
/// __Semantics__:
/// Computes Bessel function of integer order Yn(X), also known as the Neumann
/// function. N is also known as the order.
///
/// __See also__: [crate::of::besseli()], [crate::of::besselj()], [crate::of::besselk()], [crate::of::int()],
/// Returns the number of different R-length sets that can be selected from N
/// items.
///
/// [documentfoundation->COMBIN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COMBIN)
///
/// __Syntax__:
/// ```ods
/// COMBIN( N: Integer; R: Integer )
/// ```
///
/// __Constraints__:
/// N ≥ 0, R ≥ 0, R ≤ N
///
/// __Semantics__:
/// COMBIN returns the binomial coefficient, which is the number of different
/// R-length sets that can be selected from N items. Since they are sets, order
/// in the sets is not relevant. The parameters are truncated (using INT)
/// before use. For example, if a jar contains five marbles, each one a
/// distinct color, the number of different three-marble groups COMBIN(5;3) =
/// 10. The result is
///
/// Note that if order is important, use PERMUT instead.
///
/// __See also__: [crate::of::int()], [crate::of::permut()],
/// Returns the number of combinations with repetitions.
///
/// [documentfoundation->COMBINA](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COMBINA)
///
/// __Syntax__:
/// ```ods
/// COMBINA( N: Integer; M: Integer )
/// ```
///
/// __Constraints__:
/// N ≥ 0, M ≥ 0, N ≥ M; Evaluators may evaluate expressions where N ≥
/// 0, M ≥ 0 returns a non-error value.
///
/// __Semantics__:
/// Returns the number of possible combinations of M objects out of N possible
/// ones, with repetitions allowed. Actual arguments that are not integers are
/// truncated (using INT) before use. The result is
///
/// __See also__: [crate::of::combin()],
/// Returns a number converted from one unit system into another.
///
/// [documentfoundation->CONVERT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CONVERT)
///
/// __Syntax__:
/// ```ods
/// CONVERT( N: Number; From: Text; Into: Text )
/// ```
///
/// __Constraints__:
/// From and Into shall be legal units, and shall be in the same unit group.
///
/// __Semantics__:
/// Returns the number converted from the unit identified by From into the unit
/// identified by Into. A unit is a unit symbol , optionally preceded by a unit
/// prefix (either a decimal prefix or a binary prefix, as specified in Table
/// 25 - Decimal Prefixes for use in CONVERT and Table 26 - Binary prefixes for
/// use in CONVERT respectively). Units (including both the unit symbol and the
/// optional unit prefix) are case-sensitive.
///
/// Evaluators claiming to implement this function shall support at least the
/// following unit symbols (with conversions between them and other units in
/// the same group):
///
/// If a conversion factor (as listed above) is not exact, an implementation
/// may use a more accurate conversion factor instead.
///
/// Implementation-defined unit names should contain a 'FULL STOP' (U+002E)
/// character.
///
/// Evaluators shall support decimal prefixes for unit symbols marked with *
/// and binary prefixes for unit symbols marked with †. Evaluators should not
/// support prefixes for other unit symbols.
///
/// The unit symbols in parentheses are deprecated unit symbols; evaluators
/// shall support these unit symbols.
///
/// Evaluators should use internationally-standardized unit name abbreviations
/// for such additions where possible. Evaluators may support the obsolete
/// symbols “p” and “P” as unit names for Pascals.
///
/// For purposes of this function, a year is exactly 365.25 days long.
///
/// Evaluators claiming to support this function shall permit the unit decimal
/// prefixes specified in Table 25 - Decimal Prefixes for use in CONVERT to be
/// prepended to any unit symbol marked with * in Table 24 - Unit names. Adding
/// a unit prefix indicates multiplication of the (scalar) unit by the given
/// prefix value; for example km indicates kilometres, and km2 or km^2 indicate
/// square kilometres.
///
/// __Note__:
/// The prefix “e” for 10 1 is nonstandard and included for backward
/// compatibility with legacy applications and documents.
///
/// The unit names marked with † in Table 24 - Unit names (see the
/// Information Unit group) shall also support the following binary prefixes
/// per IEC 60027-2:
///
/// In the case where there is a naming conflict (a unit name with a prefix is
/// the same as an unprefixed name), the unprefixed name shall take precedence.
///
/// Evaluators may implement this conversion by first converting to some SI
/// unit (e.g., meter and kilogram), and then convert again to the final unit.
///
/// __See also__: [crate::of::euroconvert()],
/// Return the cosine of an angle specified in radians.
///
/// [documentfoundation->COS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COS)
///
/// __Syntax__:
/// ```ods
/// COS( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the cosine of an angle specified in radians.
///
/// __See also__: [crate::of::acos()], [crate::of::radians()], [crate::of::degrees()],
/// Return the hyperbolic cosine of the given hyperbolic angle.
///
/// [documentfoundation->COSH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COSH)
///
/// __Syntax__:
/// ```ods
/// COSH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the hyperbolic cosine of a hyperbolic angle. The hyperbolic cosine
/// is an analog of the ordinary (circular) cosine. The points (cosh t, sinh t)
/// define the right half of the equilateral hyperbola, just as the points (cos
/// t, sin t) define the points of a circle.
///
/// __See also__: [crate::of::acosh()], [crate::of::sinh()], [crate::of::tanh()],
/// Return the cotangent of an angle specified in radians.
///
/// [documentfoundation->COT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COT)
///
/// __Syntax__:
/// ```ods
/// COT( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the cotangent of an angle specified in radians.
///
/// COT(x) = 1 / TAN(x)
///
/// __See also__: [crate::of::acot()], [crate::of::tan()], [crate::of::radians()], [crate::of::degrees()], [crate::of::sin()], [crate::of::cos()],
/// Return the hyperbolic cotangent of the given hyperbolic angle.
///
/// [documentfoundation->COTH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COTH)
///
/// __Syntax__:
/// ```ods
/// COTH( N: Number )
/// ```
///
/// __Constraints__:
/// N ≠ 0
///
/// __Semantics__:
/// Computes the hyperbolic cotangent of a hyperbolic angle. The hyperbolic
/// cotangent is an analog of the ordinary (circular) cotangent.
///
/// __See also__: [crate::of::acosh()], [crate::of::cosh()], [crate::of::sinh()], [crate::of::tanh()],
/// Return the cosecant of an angle specified in radians.
///
/// [documentfoundation->CSC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CSC)
///
/// __Syntax__:
/// ```ods
/// CSC( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the cosecant cosine of an angle specified in radians. Equivalent
/// to:
///
/// 1 / SIN(N)
///
/// __See also__: [crate::of::sin()],
/// Return the hyperbolic cosecant of the given angle specified in radians.
///
/// [documentfoundation->CSCH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CSCH)
///
/// __Syntax__:
/// ```ods
/// CSCH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the hyperbolic cosecant of a hyperbolic angle. This is equivalent
/// to:
///
/// 1 / SINH(N)
///
/// __See also__: [crate::of::sinh()],
/// Convert radians to degrees.
///
/// [documentfoundation->DEGREES](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DEGREES)
///
/// __Syntax__:
/// ```ods
/// DEGREES( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Converts a number in radians into a number in degrees. DEGREES(N) is equal
/// to N * 180 / π.
///
/// __See also__: [crate::of::radians()], [crate::of::pi()],
/// Report if two numbers are equal, returns 1 if they are equal.
///
/// [documentfoundation->DELTA](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DELTA)
///
/// __Syntax__:
/// ```ods
/// DELTA( X: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// If X and Y are equal, return 1, else 0. Y is set to 0 if omitted.
///
/// __See also__: [crate::of::infix operator “=”()], [crate::of::delta_()],
/// Report if two numbers are equal, returns 1 if they are equal.
///
/// [documentfoundation->DELTA](https://wiki.documentfoundation.org/Documentation/Calc_Functions/DELTA)
///
/// __Syntax__:
/// ```ods
/// DELTA( X: Number; Y: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// If X and Y are equal, return 1, else 0. Y is set to 0 if omitted.
///
/// __See also__: [crate::of::infix operator “=”()], [crate::of::delta()],
/// Calculates the error function.
///
/// [documentfoundation->ERF](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ERF)
///
/// __Syntax__:
/// ```ods
/// ERF( Z0: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// With a single argument, returns the error function of Z0:
///
/// With two arguments, returns
///
/// __See also__: [crate::of::erfc()], [crate::of::erf_()],
/// Calculates the error function.
///
/// [documentfoundation->ERF](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ERF)
///
/// __Syntax__:
/// ```ods
/// ERF( Z0: Number; Z1: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// With a single argument, returns the error function of Z0:
///
/// With two arguments, returns
///
/// __See also__: [crate::of::erfc()], [crate::of::erf()],
/// Calculates the complementary error function.
///
/// [documentfoundation->ERFC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ERFC)
///
/// __Syntax__:
/// ```ods
/// ERFC( Z: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// returns the complementary error function of Z: ERFC(Z) = 1 – ERF(Z)
///
/// __See also__: [crate::of::erf()],
/// Converts a Number, representing a value in one European currency, to an
/// equivalent value in another European currency, according to the fixed
/// conversion rates defined by the Council of the European Union.
///
/// [documentfoundation->EUROCONVERT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EUROCONVERT)
///
/// __Syntax__:
/// ```ods
/// EUROCONVERT( N: Number; From: Text; To: Text )
/// ```
///
/// __Constraints__:
/// From and To shall be known to the evaluator. TriangulationPrecision shall
/// be ≥ 3, if not omitted.
///
/// If an evaluator does not support the parameters FullPrecision and
/// TriangulationPrecision, FullPrecision should be assumed to be false.
///
/// __Semantics__:
/// Returns the given money value of a conversion from From currency into To
/// currency. Both From and To shall be the official ISO4217 abbreviation for
/// the given currency; note that these are in upper case, but the function
/// accepts lower case or mixed case as well. If From and To are equal
/// currencies, the value N is returned, no precision or triangulation is
/// applied.
///
/// As new member countries adopt the Euro, new conversion rates will become
/// active and evaluators may add them using the respective ISO4217 codes and
/// fixed rates as defined by the European Council, on the basis of a European
/// Commission proposal.
///
/// __Note__:
///
/// The European Commission's Euro entry page is <http://ec.europa.eu/euro/>
/// The conversion rates and triangulation rules are available at
/// <http://ec.europa.eu/economy_finance/euro/adoption/conversion/index_en.htm>
/// with links to the European Council Regulation legal documents at the
/// <http://eur-lex.europa.eu/> European Union law database server.
///
/// If FullPrecision is omitted or FALSE, the result is rounded according to
/// the decimals of the To currency. If FullPrecision is TRUE the result is not
/// rounded.
///
/// If TriangulationPrecision is given and ≥ 3, the intermediate result of a
/// triangular conversion (currency1,EUR,currency2) is rounded to that
/// precision. If TriangulationPrecision is omitted, the intermediate result is
/// not rounded. Also if To currency is “EUR”, TriangulationPrecision
/// precision is used as if triangulation was needed and conversion from EUR to
/// EUR was applied.
///
/// __See also__: [crate::of::convert()], [crate::of::euroconvert_()], [crate::of::euroconvert__()],
/// Converts a Number, representing a value in one European currency, to an
/// equivalent value in another European currency, according to the fixed
/// conversion rates defined by the Council of the European Union.
///
/// [documentfoundation->EUROCONVERT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EUROCONVERT)
///
/// __Syntax__:
/// ```ods
/// EUROCONVERT( N: Number; From: Text; To: Text; FullPrecision: Logical )
/// ```
///
/// __Constraints__:
/// From and To shall be known to the evaluator. TriangulationPrecision shall
/// be ≥ 3, if not omitted.
///
/// If an evaluator does not support the parameters FullPrecision and
/// TriangulationPrecision, FullPrecision should be assumed to be false.
///
/// __Semantics__:
/// Returns the given money value of a conversion from From currency into To
/// currency. Both From and To shall be the official ISO4217 abbreviation for
/// the given currency; note that these are in upper case, but the function
/// accepts lower case or mixed case as well. If From and To are equal
/// currencies, the value N is returned, no precision or triangulation is
/// applied.
///
/// As new member countries adopt the Euro, new conversion rates will become
/// active and evaluators may add them using the respective ISO4217 codes and
/// fixed rates as defined by the European Council, on the basis of a European
/// Commission proposal.
///
/// __Note__:
///
/// The European Commission's Euro entry page is <http://ec.europa.eu/euro/>
/// The conversion rates and triangulation rules are available at
/// <http://ec.europa.eu/economy_finance/euro/adoption/conversion/index_en.htm>
/// with links to the European Council Regulation legal documents at the
/// <http://eur-lex.europa.eu/> European Union law database server.
///
/// If FullPrecision is omitted or FALSE, the result is rounded according to
/// the decimals of the To currency. If FullPrecision is TRUE the result is not
/// rounded.
///
/// If TriangulationPrecision is given and ≥ 3, the intermediate result of a
/// triangular conversion (currency1,EUR,currency2) is rounded to that
/// precision. If TriangulationPrecision is omitted, the intermediate result is
/// not rounded. Also if To currency is “EUR”, TriangulationPrecision
/// precision is used as if triangulation was needed and conversion from EUR to
/// EUR was applied.
///
/// __See also__: [crate::of::convert()], [crate::of::euroconvert()], [crate::of::euroconvert__()],
/// Converts a Number, representing a value in one European currency, to an
/// equivalent value in another European currency, according to the fixed
/// conversion rates defined by the Council of the European Union.
///
/// [documentfoundation->EUROCONVERT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EUROCONVERT)
///
/// __Syntax__:
/// ```ods
/// EUROCONVERT( N: Number; From: Text; To: Text; FullPrecision: Logical; TriangulationPrecision: Integer )
/// ```
///
/// __Constraints__:
/// From and To shall be known to the evaluator. TriangulationPrecision shall
/// be ≥ 3, if not omitted.
///
/// If an evaluator does not support the parameters FullPrecision and
/// TriangulationPrecision, FullPrecision should be assumed to be false.
///
/// __Semantics__:
/// Returns the given money value of a conversion from From currency into To
/// currency. Both From and To shall be the official ISO4217 abbreviation for
/// the given currency; note that these are in upper case, but the function
/// accepts lower case or mixed case as well. If From and To are equal
/// currencies, the value N is returned, no precision or triangulation is
/// applied.
///
/// As new member countries adopt the Euro, new conversion rates will become
/// active and evaluators may add them using the respective ISO4217 codes and
/// fixed rates as defined by the European Council, on the basis of a European
/// Commission proposal.
///
/// __Note__:
///
/// The European Commission's Euro entry page is <http://ec.europa.eu/euro/>
/// The conversion rates and triangulation rules are available at
/// <http://ec.europa.eu/economy_finance/euro/adoption/conversion/index_en.htm>
/// with links to the European Council Regulation legal documents at the
/// <http://eur-lex.europa.eu/> European Union law database server.
///
/// If FullPrecision is omitted or FALSE, the result is rounded according to
/// the decimals of the To currency. If FullPrecision is TRUE the result is not
/// rounded.
///
/// If TriangulationPrecision is given and ≥ 3, the intermediate result of a
/// triangular conversion (currency1,EUR,currency2) is rounded to that
/// precision. If TriangulationPrecision is omitted, the intermediate result is
/// not rounded. Also if To currency is “EUR”, TriangulationPrecision
/// precision is used as if triangulation was needed and conversion from EUR to
/// EUR was applied.
///
/// __See also__: [crate::of::convert()], [crate::of::euroconvert()], [crate::of::euroconvert_()],
/// Rounds a number up to the nearest even integer. Rounding is away from zero.
///
/// [documentfoundation->EVEN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EVEN)
///
/// __Syntax__:
/// ```ods
/// EVEN( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Returns the even integer whose sign is the same as N's and whose absolute
/// value is greater than or equal to the absolute value of N.
///
/// __See also__: [crate::of::odd()],
/// Returns e raised by the given number.
///
/// [documentfoundation->EXP](https://wiki.documentfoundation.org/Documentation/Calc_Functions/EXP)
///
/// __Syntax__:
/// ```ods
/// EXP( X: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes
///
/// __See also__: [crate::of::log()], [crate::of::ln()],
/// Return factorial (!).
///
/// [documentfoundation->FACT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FACT)
///
/// __Syntax__:
/// ```ods
/// FACT( F: Integer )
/// ```
///
/// __Constraints__:
/// F ≥ 0
///
/// __Semantics__:
/// Return the factorial
///
/// F(0) = F(1) = 1.
///
/// __See also__: [crate::of::infix operator "*"()], [crate::of::gamma()],
/// Returns double factorial (!!).
///
/// [documentfoundation->FACTDOUBLE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/FACTDOUBLE)
///
/// __Syntax__:
/// ```ods
/// FACTDOUBLE( F: Integer )
/// ```
///
/// __Constraints__:
/// F ≥ 0
///
/// __Semantics__:
/// Return
///
/// Double factorial is computed by multiplying every other number in the 1..N
/// range, with N always being included.
///
/// __See also__: [crate::of::infix operator "*"()], [crate::of::gamma()], [crate::of::fact()],
/// Return gamma function value.
///
/// [documentfoundation->GAMMA](https://wiki.documentfoundation.org/Documentation/Calc_Functions/GAMMA)
///
/// __Syntax__:
/// ```ods
/// GAMMA( N: Number )
/// ```
///
/// __Constraints__:
/// N ≠ 0 and N not a negative integer.
///
/// __Semantics__:
/// Return
///
/// with Γ(N + 1) = N * Γ(N). Note that for non-negative integers N, Γ(N +
/// 1) = N! = FACT(N). Note that GAMMA can accept non-integers.
///
/// __See also__: [crate::of::fact()],
/// Returns the natural logarithm of the GAMMA function.
///
/// [documentfoundation->GAMMALN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/GAMMALN)
///
/// __Syntax__:
/// ```ods
/// GAMMALN( X: Number )
/// ```
///
/// __Constraints__:
/// For each X, X > 0
///
/// __Semantics__:
/// Returns the same value as LN(GAMMA(X))
///
/// __See also__: [crate::of::gamma()], [crate::of::fact()],
/// Returns the greatest common divisor (GCD)
///
/// [documentfoundation->GCD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/GCD)
///
/// __Syntax__:
/// ```ods
/// GCD({ X: NumberSequenceList}+ )
/// ```
///
/// __Constraints__:
/// For all a in X: INT(a) ≥ 0 and for at least one a in X: INT(a) > 0
///
/// __Semantics__:
/// Return the largest integer N such that for every a in X: INT(a) is a
/// multiple of N.
///
/// __Note__:
/// If for all a in X: INT(a) = 0 the return value is implementation-defined
/// but is either an Error or 0.
///
/// __See also__: [crate::of::lcm()], [crate::of::int()],
/// Returns 1 if a number is greater than or equal to another number, else
/// returns 0.
///
/// [documentfoundation->GESTEP](https://wiki.documentfoundation.org/Documentation/Calc_Functions/GESTEP)
///
/// __Syntax__:
/// ```ods
/// GESTEP( X: Number )
/// ```
///
/// __Semantics__:
/// Number X is tested against number Step. If greater or equal 1 is returned,
/// else 0. The second parameter is assumed 0 if omitted. If one of the
/// parameters is not a Number, the function results in an Error.
///
/// __See also__: [crate::of::gestep_()],
/// Returns 1 if a number is greater than or equal to another number, else
/// returns 0.
///
/// [documentfoundation->GESTEP](https://wiki.documentfoundation.org/Documentation/Calc_Functions/GESTEP)
///
/// __Syntax__:
/// ```ods
/// GESTEP( X: Number; Step: Number )
/// ```
///
/// __Semantics__:
/// Number X is tested against number Step. If greater or equal 1 is returned,
/// else 0. The second parameter is assumed 0 if omitted. If one of the
/// parameters is not a Number, the function results in an Error.
///
/// __See also__: [crate::of::gestep()],
/// Returns the least common multiplier
///
/// [documentfoundation->LCM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/LCM)
///
/// __Syntax__:
/// ```ods
/// LCM({ X: NumberSequenceList}+ )
/// ```
///
/// __Constraints__:
/// For all in X: INT(X) = X, X ≥ 0
///
/// __Semantics__:
/// Return the smallest integer that is the multiple of the given values. Each
/// value has INT applied to it first. Note that if given two numbers, ABS(a *
/// b) = LCM(a;b) * GCD(a;b).
///
/// __See also__: [crate::of::gcd()], [crate::of::int()],
/// Return the natural logarithm of a number.
///
/// [documentfoundation->LN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/LN)
///
/// __Syntax__:
/// ```ods
/// LN( X: Number )
/// ```
///
/// __Constraints__:
/// X > 0
///
/// __Semantics__:
/// Computes the natural logarithm (base e) of the given number.
///
/// __See also__: [crate::of::log()], [crate::of::log10()], [crate::of::power()], [crate::of::exp()],
/// Return the logarithm of a number in a specified base.
///
/// [documentfoundation->LOG](https://wiki.documentfoundation.org/Documentation/Calc_Functions/LOG)
///
/// __Syntax__:
/// ```ods
/// LOG( N: Number )
/// ```
///
/// __Constraints__:
/// N > 0
///
/// __Semantics__:
/// Computes the logarithm of a number in the specified base. Note that if the
/// base is not specified, the logarithm base 10 is returned.
///
/// __See also__: [crate::of::log10()], [crate::of::ln()], [crate::of::power()], [crate::of::exp()], [crate::of::log_()],
/// Return the logarithm of a number in a specified base.
///
/// [documentfoundation->LOG](https://wiki.documentfoundation.org/Documentation/Calc_Functions/LOG)
///
/// __Syntax__:
/// ```ods
/// LOG( N: Number; Base: Number )
/// ```
///
/// __Constraints__:
/// N > 0
///
/// __Semantics__:
/// Computes the logarithm of a number in the specified base. Note that if the
/// base is not specified, the logarithm base 10 is returned.
///
/// __See also__: [crate::of::log10()], [crate::of::ln()], [crate::of::power()], [crate::of::exp()], [crate::of::log()],
/// Return the base 10 logarithm of a number.
///
/// [documentfoundation->LOG10](https://wiki.documentfoundation.org/Documentation/Calc_Functions/LOG10)
///
/// __Syntax__:
/// ```ods
/// LOG10( N: Number )
/// ```
///
/// __Constraints__:
/// N > 0
///
/// __Semantics__:
/// Computes the base 10 logarithm of a number.
///
/// __See also__: [crate::of::log()], [crate::of::ln()], [crate::of::power()], [crate::of::exp()],
/// Return the remainder when one number is divided by another number.
///
/// [documentfoundation->MOD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/MOD)
///
/// __Syntax__:
/// ```ods
/// MOD( A: Number; B: Number )
/// ```
///
/// __Constraints__:
/// B != 0
///
/// __Semantics__:
/// Computes the remainder of A / B. The remainder has the same sign as B.
///
/// __See also__: [crate::of::infix operator "/"()], [crate::of::quotient()],
/// Returns the multinomial for the given values.
///
/// [documentfoundation->MULTINOMIAL](https://wiki.documentfoundation.org/Documentation/Calc_Functions/MULTINOMIAL)
///
/// __Syntax__:
/// ```ods
/// MULTINOMIAL({ A: NumberSequence}+ )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Returns the multinomial of the sequence A = (a1, a2, ..., an). Multinomial
/// is defined as FACT(a1 + a2 +...+ an) / (FACT(a1) * FACT(a2) *...* FACT(an))
///
/// __See also__: [crate::of::fact()],
/// Rounds a number up to the nearest odd integer, where "up" means "away from
/// 0".
///
/// [documentfoundation->ODD](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ODD)
///
/// __Syntax__:
/// ```ods
/// ODD( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Returns the odd integer whose sign is the same as N's and whose absolute
/// value is greater than or equal to the absolute value of N. In other words,
/// any "rounding" is away from zero. By definition, ODD(0) is 1.
///
/// __See also__: [crate::of::even()],
/// Return the approximate value of π.
///
/// [documentfoundation->PI](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PI)
///
/// __Syntax__:
/// ```ods
/// PI( )
/// ```
///
/// __Constraints__:
/// None.
///
/// __Semantics__:
/// This function takes no arguments and returns the (approximate) value of π
/// (pi). Evaluators should use the closest possible numerical representation
/// that is possible in their representation of numbers.
///
/// __See also__: [crate::of::sin()], [crate::of::cos()],
/// Return the value of one number raised to the power of another number.
///
/// [documentfoundation->POWER](https://wiki.documentfoundation.org/Documentation/Calc_Functions/POWER)
///
/// __Syntax__:
/// ```ods
/// POWER( A: Number; B: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes A raised to the power B.
///
/// •POWER(0,0) is implementation-defined, but shall be one of 0,1, or an
/// Error.
///
/// •POWER(0,B), where B < 0, shall return an Error.
///
/// •POWER(A,B), where A ≤ 0 and INT(B) != B, is implementation-defined.
///
/// __See also__: [crate::of::log()], [crate::of::log10()], [crate::of::ln()], [crate::of::exp()],
/// Multiply the set of numbers, including all numbers inside ranges.
///
/// [documentfoundation->PRODUCT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/PRODUCT)
///
/// __Syntax__:
/// ```ods
/// PRODUCT({ N: NumberSequenceList}+ )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Returns the product of the Numbers (and only the Numbers, i.e., not Text
/// inside ranges).
///
/// __See also__: [crate::of::sum()],
/// Return the integer portion of a division.
///
/// [documentfoundation->QUOTIENT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/QUOTIENT)
///
/// __Syntax__:
/// ```ods
/// QUOTIENT( A: Number; B: Number )
/// ```
///
/// __Constraints__:
/// B ≠ 0
///
/// __Semantics__:
/// Return the integer portion of a division.
///
/// __See also__: [crate::of::mod_()],
/// Convert degrees to radians.
///
/// [documentfoundation->RADIANS](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RADIANS)
///
/// __Syntax__:
/// ```ods
/// RADIANS( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Converts a number in degrees into a number in radians. RADIANS(N) is equal
/// to N * PI() / 180.
///
/// __See also__: [crate::of::degrees()], [crate::of::pi()],
/// Return a random number between 0 (inclusive) and 1 (exclusive).
///
/// [documentfoundation->RAND](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RAND)
///
/// __Syntax__:
/// ```ods
/// RAND( )
/// ```
///
/// __Semantics__:
/// This function takes no arguments and returns a random number between 0
/// (inclusive) and 1 (exclusive). Note that unlike most functions, this
/// function will typically return different values when called each time with
/// the same (empty set of) parameters.
///
/// __See also__: [crate::of::randbetween()],
/// Return a random integer number between A and B.
///
/// [documentfoundation->RANDBETWEEN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/RANDBETWEEN)
///
/// __Syntax__:
/// ```ods
/// RANDBETWEEN( A: Integer; B: Integer )
/// ```
///
/// __Constraints__:
/// A ≤ B
///
/// __Semantics__:
/// The function returns a random integer number between A and B inclusive.
/// Note that unlike most functions, this function will often return different
/// values when called each time with the same parameters.
///
/// __See also__: [crate::of::rand()],
/// Return the secant of an angle specified in radians.
///
/// [documentfoundation->SEC](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SEC)
///
/// __Syntax__:
/// ```ods
/// SEC( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the secant cosine of an angle specified in radians. Equivalent to:
///
/// 1 / COS(N)
///
/// __See also__: [crate::of::sin()],
/// Returns the sum of a power series.
///
/// [documentfoundation->SERIESSUM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SERIESSUM)
///
/// __Syntax__:
/// ```ods
/// SERIESSUM( X: Number; N: Number; M: Number; Coefficients: Array )
/// ```
///
/// __Arguments__:
///
/// •X: the independent variable of the power series.
///
/// •N: the initial power to which X is to be raised.
///
/// •M: the increment by which to increase N for each term in the series.
///
/// •Coefficients: a set of coefficients by which each successive power of
/// the variable X is multiplied.
///
/// __Constraints__:
///
/// All elements of Coefficients are of type Number.
///
/// X ≠ 0 if any of the exponents, which are generated from N and M, are
/// negative.
///
/// __Semantics__:
/// Returns a sum of powers of the number X.
///
/// With C being the number of coefficients the function is computed as:
///
/// If X = 0 and all of the exponents are non-negative then
/// shall be set to 1 and
/// shall be set to 0.
///
/// __See also__:
/// Return the sign of a number.
///
/// [documentfoundation->SIGN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SIGN)
///
/// __Syntax__:
/// ```ods
/// SIGN( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// If N < 0, returns -1; if N > 0, returns +1; if N = 0, returns 0.
///
/// __See also__: [crate::of::abs()],
/// Return the sine of an angle specified in radians.
///
/// [documentfoundation->SIN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SIN)
///
/// __Syntax__:
/// ```ods
/// SIN( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the sine of an angle specified in radians.
///
/// __See also__: [crate::of::asin()], [crate::of::radians()], [crate::of::degrees()],
/// Return the hyperbolic sine of the given hyperbolic angle.
///
/// [documentfoundation->SINH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SINH)
///
/// __Syntax__:
/// ```ods
/// SINH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the hyperbolic sine of a hyperbolic angle. The hyperbolic sine is
/// an analog of the ordinary (circular) sine. The points (cosh t, sinh t)
/// define the right half of the equilateral hyperbola, just as the points (cos
/// t, sin t) define the points of a circle.
///
/// __See also__: [crate::of::asinh()], [crate::of::cosh()], [crate::of::tanh()],
/// Return the hyperbolic secant of the given angle specified in radians.
///
/// [documentfoundation->SECH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SECH)
///
/// __Syntax__:
/// ```ods
/// SECH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the hyperbolic secant of a hyperbolic angle. This is equivalent
/// to:
///
/// 1 / COSH(N)
///
/// __See also__: [crate::of::sinh()], [crate::of::cosh()], [crate::of::csch()],
/// Return the square root of a number.
///
/// [documentfoundation->SQRT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SQRT)
///
/// __Syntax__:
/// ```ods
/// SQRT( N: Number )
/// ```
///
/// __Constraints__:
/// N ≥ 0
///
/// __Semantics__:
/// Returns the square root of a non-negative number. This function shall
/// produce an Error if given a negative number; for producing complex numbers,
/// see IMSQRT.
///
/// __See also__: [crate::of::power()], [crate::of::imsqrt()], [crate::of::sqrtpi()],
/// Return the square root of a number multiplied by π (pi).
///
/// [documentfoundation->SQRTPI](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SQRTPI)
///
/// __Syntax__:
/// ```ods
/// SQRTPI( N: Number )
/// ```
///
/// __Constraints__:
/// N ≥ 0
///
/// __Semantics__:
/// Returns the square root of a non-negative number after it was first
/// multiplied by π, that is, SQRT(N * PI()). This function shall produce an
/// Error if given a negative number; for producing complex numbers, see
/// IMSQRT.
///
/// __See also__: [crate::of::power()], [crate::of::sqrt()], [crate::of::pi()], [crate::of::imsqrt()],
/// Evaluates a function on a range.
///
/// [documentfoundation->SUBTOTAL](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUBTOTAL)
///
/// __Syntax__:
/// ```ods
/// SUBTOTAL( Function: Integer; Sequence: NumberSequence )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes a given function on a number sequence. The function is denoted by
/// the first parameter: The difference from standard functions is that all
/// members of the sequence are excluded which:
///
/// •include a call to SUBTOTAL in their formula
///
/// •are in a row that is hidden by a table:visibility=”filter” attribute
/// of the <table:table-row> element (OpenDocument, Part 3, 19.754).
///
/// •are in a row that is hidden by a table:visibility=”collapse”
/// attribute of the <table:table-row> element if the function ID is one of
/// 101...111.
///
/// __See also__: [crate::of::sum()], [crate::of::average()],
/// Sum (add) the set of numbers, including all numbers in ranges.
///
/// [documentfoundation->SUM](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUM)
///
/// __Syntax__:
/// ```ods
/// SUM({ N: NumberSequenceList}+ )
/// ```
///
/// __Constraints__:
/// N != {}; Evaluators may evaluate expressions that do not meet this
/// constraint.
///
/// __Semantics__:
/// Adds Numbers (and only Numbers) together (see the text on conversions).
///
/// __See also__: [crate::of::average()],
/// Sum the values of cells in a range that meet a criteria.
///
/// [documentfoundation->SUMIF](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMIF)
///
/// __Syntax__:
/// ```ods
/// SUMIF( R: ReferenceList|Reference; C: Criterion )
/// ```
///
/// __Constraints__:
/// Does not accept constant values as the range parameter.
///
/// __Semantics__:
/// Sums the values of type Number in the range R or S that meet the Criterion
/// C (4.11.8).
///
/// If S is not given, R may be a reference list. If S is given, R shall not be
/// a reference list with more than 1 references and an Error be generated if
/// it was.
///
/// If the optional range S is included, then the values of S starting from the
/// top left cell and matching the geometry of R (same number of rows and
/// columns) are summed if the corresponding value in R meets the Criterion.
/// The actual range S is not considered. If the resulting range exceeds the
/// sheet bounds, column numbers larger than the maximum column and row numbers
/// larger than the maximum row are silently ignored, no Error is generated for
/// this case.
///
/// The values returned may vary depending upon the
/// HOST-USE-REGULAR-EXPRESSIONS or HOST-USE-WILDCARDS or
/// HOST-SEARCH-CRITERIA-MUST-APPLY-TO-WHOLE-CELL properties. 3.4
///
/// __See also__: [crate::of::countif()], [crate::of::sum()], [crate::of::infix operator "="()], [crate::of::infix operator "<>"()], [crate::of::infix operator ordered comparison ("<", "<=", ">", ">=")()], [crate::of::sumif_()],
/// Sum the values of cells in a range that meet a criteria.
///
/// [documentfoundation->SUMIF](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMIF)
///
/// __Syntax__:
/// ```ods
/// SUMIF( R: ReferenceList|Reference; C: Criterion; S: Reference )
/// ```
///
/// __Constraints__:
/// Does not accept constant values as the range parameter.
///
/// __Semantics__:
/// Sums the values of type Number in the range R or S that meet the Criterion
/// C (4.11.8).
///
/// If S is not given, R may be a reference list. If S is given, R shall not be
/// a reference list with more than 1 references and an Error be generated if
/// it was.
///
/// If the optional range S is included, then the values of S starting from the
/// top left cell and matching the geometry of R (same number of rows and
/// columns) are summed if the corresponding value in R meets the Criterion.
/// The actual range S is not considered. If the resulting range exceeds the
/// sheet bounds, column numbers larger than the maximum column and row numbers
/// larger than the maximum row are silently ignored, no Error is generated for
/// this case.
///
/// The values returned may vary depending upon the
/// HOST-USE-REGULAR-EXPRESSIONS or HOST-USE-WILDCARDS or
/// HOST-SEARCH-CRITERIA-MUST-APPLY-TO-WHOLE-CELL properties. 3.4
///
/// __See also__: [crate::of::countif()], [crate::of::sum()], [crate::of::infix operator "="()], [crate::of::infix operator "<>"()], [crate::of::infix operator ordered comparison ("<", "<=", ">", ">=")()], [crate::of::sumif()],
/// Returns the sum of the products of the matrix elements.
///
/// [documentfoundation->SUMPRODUCT](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMPRODUCT)
///
/// __Syntax__:
/// ```ods
/// SUMPRODUCT({ A: Array}+ )
/// ```
///
/// __Constraints__:
/// All matrices shall have the same dimensions.
///
/// __Semantics__:
/// Multiplies the corresponding elements of all matrices and returns the sum
/// of them.
///
/// where
/// denotes an element of the matrix
/// .
///
/// __See also__:
/// Sum (add) the set of squares of numbers, including all numbers in ranges
///
/// [documentfoundation->SUMSQ](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMSQ)
///
/// __Syntax__:
/// ```ods
/// SUMSQ({ N: NumberSequence}+ )
/// ```
///
/// __Constraints__:
/// N != {}; Evaluators may evaluate expressions that do not meet this
/// constraint.
///
/// __Semantics__:
/// Adds squares of Numbers (and only Numbers) together. See the text on
/// conversions.
///
/// __See also__:
/// Returns the sum of the difference between the squares of the matrices A and
/// B.
///
/// [documentfoundation->SUMX2MY2](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMX2MY2)
///
/// __Syntax__:
/// ```ods
/// SUMX2MY2( A: Array; B: Array )
/// ```
///
/// __Constraints__:
/// Both matrices shall have the same dimensions.
///
/// __Semantics__:
/// Sums up the differences of the corresponding elements squares for two
/// matrices.
///
/// __See also__:
/// Returns the total sum of the squares of the matrices A and B.
///
/// [documentfoundation->SUMX2PY2](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMX2PY2)
///
/// __Syntax__:
/// ```ods
/// SUMX2PY2( A: Array; B: Array )
/// ```
///
/// __Constraints__:
/// Both matrices shall have the same dimensions.
///
/// __Semantics__:
/// Sums up the squares of each element of the two matrices.
///
/// __See also__:
/// Returns the sum of the squares of the differences between matrix A and B.
///
/// [documentfoundation->SUMXMY2](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SUMXMY2)
///
/// __Syntax__:
/// ```ods
/// SUMXMY2( A: Array; B: Array )
/// ```
///
/// __Constraints__:
/// Both matrices shall have the same dimensions.
///
/// __Semantics__:
/// Sums up the squares of the differences of the corresponding elements for
/// two matrices.
///
/// __See also__:
/// Return the tangent of an angle specified in radians
///
/// [documentfoundation->TAN](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TAN)
///
/// __Syntax__:
/// ```ods
/// TAN( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the tangent of an angle specified in radians.
///
/// TAN(x) = SIN(x) / COS(x)
///
/// __See also__: [crate::of::atan()], [crate::of::atan2()], [crate::of::radians()], [crate::of::degrees()], [crate::of::sin()], [crate::of::cos()], [crate::of::cot()],
/// Return the hyperbolic tangent of the given hyperbolic angle
///
/// [documentfoundation->TANH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TANH)
///
/// __Syntax__:
/// ```ods
/// TANH( N: Number )
/// ```
///
/// __Constraints__:
/// None
///
/// __Semantics__:
/// Computes the hyperbolic tangent of a hyperbolic angle. The hyperbolic
/// tangent is an analog of the ordinary (circular) tangent. The points (cosh
/// t, sinh t) define the right half of the equilateral hyperbola, just as the
/// points (cos t, sin t) define the points of a circle.
///
/// __See also__: [crate::of::atanh()], [crate::of::sinh()], [crate::of::cosh()], [crate::of::fisherinv()],
/// AGGREGATE is a powerful but complex function that calculates a single
/// number by applying a selected aggregate function to a specified set of
/// data. Nineteen different aggregate functions are available.
///
/// Unlike many other functions that perform similar calculations, AGGREGATE
/// provides options to omit certain unwanted data types from its processing.
/// Options are available to ignore errors, hidden rows, and nested SUBTOTAL
/// and other AGGREGATE function results.
///
/// [documentfoundation->AGGREGATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AGGREGATE)
///
/// __Syntax__:
/// ```ods
/// AGGREGATE( Function: Integer; Option: Integer; Args: NumberSequence )
/// ```
///
/// __Semantics__:
/// Function is an integer value in the range [1, 19], or a reference to a cell
/// containing that number, which specifies the aggregate function to be used.
/// Option is an integer value in the range [0, 7], or a reference to a cell
/// containing that number, which specifies the ignore option to be used.
/// k is required when Function is in the range [14, 19] and specifies the
/// second argument required by the standalone aggregation function. These are
/// as follows:
/// LARGE requires a RankC argument (positive integer).
/// SMALL requires a RankC argument (positive integer).
/// PERCENTILE.INC requires an Alpha argument (real number in the range [0,
/// 1]).
/// PERCENTILE.EXC requires an Alpha argument (real number in the range (0,
/// 1)).
/// QUARTILE.INC requires a Type argument (integer in the range [0, 4]).
/// QUARTILE.EXC requires a Type argument (integer in the range [1, 3]).
///
/// __See also__: [crate::of::aggregate_()],
/// AGGREGATE is a powerful but complex function that calculates a single
/// number by applying a selected aggregate function to a specified set of
/// data. Nineteen different aggregate functions are available.
///
/// Unlike many other functions that perform similar calculations, AGGREGATE
/// provides options to omit certain unwanted data types from its processing.
/// Options are available to ignore errors, hidden rows, and nested SUBTOTAL
/// and other AGGREGATE function results.
///
/// [documentfoundation->AGGREGATE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/AGGREGATE)
///
/// __Syntax__:
/// ```ods
/// AGGREGATE( Function: Integer; Option: Integer; Args: NumberSequence; k: Integer )
/// ```
///
/// __Semantics__:
/// Function is an integer value in the range [1, 19], or a reference to a cell
/// containing that number, which specifies the aggregate function to be used.
/// Option is an integer value in the range [0, 7], or a reference to a cell
/// containing that number, which specifies the ignore option to be used.
/// k is required when Function is in the range [14, 19] and specifies the
/// second argument required by the standalone aggregation function. These are
/// as follows:
/// LARGE requires a RankC argument (positive integer).
/// SMALL requires a RankC argument (positive integer).
/// PERCENTILE.INC requires an Alpha argument (real number in the range [0,
/// 1]).
/// PERCENTILE.EXC requires an Alpha argument (real number in the range (0,
/// 1)).
/// QUARTILE.INC requires a Type argument (integer in the range [0, 4]).
/// QUARTILE.EXC requires a Type argument (integer in the range [1, 3]).
///
/// __See also__: [crate::of::aggregate()],
/// Rounds a number to the nearest multiple of a significance value. In most
/// cases, the number is rounded up (toward +∞). However, a mode parameter is
/// provided and when this is set to a non-zero value, then negative numbers
/// are rounded down (toward -∞).
///
/// [documentfoundation->CEILING.MATH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.MATH)
///
/// __Syntax__:
/// ```ods
/// CEILING.MATH( Number: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __Semantics__:
///
/// Number is a real number, or a reference to a cell containing that number,
/// that is the value to be rounded.
///
/// Significance is a real number, or a reference to a cell containing that
/// number, that is the significance value to be used. If omitted, Significance
/// defaults to 1. The sign of Significance is ignored.
///
/// Mode is a real number, or a reference to a cell containing that number,
/// that is a Boolean mode indicator. Mode is only effective when Number is
/// negative. If Mode is present and equal to any non-zero value (including
/// TRUE), negative numbers are rounded down (toward -∞). If Mode is omitted,
/// or equal to zero or FALSE, negative numbers are rounded up (toward +∞).
///
/// If any argument is non-numeric, then CEILING.MATH reports a #VALUE! error.
/// If either Number or Significance is equal to 0, then CEILING.MATH returns
/// 0.
///
/// Info:
/// Details specific to CEILING.MATH function
///
/// With Significance set to -1 or +1, or defaulted to 1, and Mode set or
/// defaulted to 0 or FALSE, CEILING.MATH provides functionality that
/// implements the standard mathematical definition of a ceiling value.
///
/// CEILING.MATH is similar to the CEILING function, the difference between the
/// two lying in the interpretation of the Significance argument. The CEILING
/// function requires the Significance and Number arguments to have the same
/// sign, whereas for CEILING.MATH the sign of the Significance argument is
/// ignored.
///
/// __See also__: [crate::of::ceiling_math_()], [crate::of::ceiling_math__()],
/// Rounds a number to the nearest multiple of a significance value. In most
/// cases, the number is rounded up (toward +∞). However, a mode parameter is
/// provided and when this is set to a non-zero value, then negative numbers
/// are rounded down (toward -∞).
///
/// [documentfoundation->CEILING.MATH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.MATH)
///
/// __Syntax__:
/// ```ods
/// CEILING.MATH( Number: Number; Significance: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __Semantics__:
///
/// Number is a real number, or a reference to a cell containing that number,
/// that is the value to be rounded.
///
/// Significance is a real number, or a reference to a cell containing that
/// number, that is the significance value to be used. If omitted, Significance
/// defaults to 1. The sign of Significance is ignored.
///
/// Mode is a real number, or a reference to a cell containing that number,
/// that is a Boolean mode indicator. Mode is only effective when Number is
/// negative. If Mode is present and equal to any non-zero value (including
/// TRUE), negative numbers are rounded down (toward -∞). If Mode is omitted,
/// or equal to zero or FALSE, negative numbers are rounded up (toward +∞).
///
/// If any argument is non-numeric, then CEILING.MATH reports a #VALUE! error.
/// If either Number or Significance is equal to 0, then CEILING.MATH returns
/// 0.
///
/// Info:
/// Details specific to CEILING.MATH function
///
/// With Significance set to -1 or +1, or defaulted to 1, and Mode set or
/// defaulted to 0 or FALSE, CEILING.MATH provides functionality that
/// implements the standard mathematical definition of a ceiling value.
///
/// CEILING.MATH is similar to the CEILING function, the difference between the
/// two lying in the interpretation of the Significance argument. The CEILING
/// function requires the Significance and Number arguments to have the same
/// sign, whereas for CEILING.MATH the sign of the Significance argument is
/// ignored.
///
/// __See also__: [crate::of::ceiling_math()], [crate::of::ceiling_math__()],
/// Rounds a number to the nearest multiple of a significance value. In most
/// cases, the number is rounded up (toward +∞). However, a mode parameter is
/// provided and when this is set to a non-zero value, then negative numbers
/// are rounded down (toward -∞).
///
/// [documentfoundation->CEILING.MATH](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.MATH)
///
/// __Syntax__:
/// ```ods
/// CEILING.MATH( Number: Number; Significance: Number; Mode: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __Semantics__:
///
/// Number is a real number, or a reference to a cell containing that number,
/// that is the value to be rounded.
///
/// Significance is a real number, or a reference to a cell containing that
/// number, that is the significance value to be used. If omitted, Significance
/// defaults to 1. The sign of Significance is ignored.
///
/// Mode is a real number, or a reference to a cell containing that number,
/// that is a Boolean mode indicator. Mode is only effective when Number is
/// negative. If Mode is present and equal to any non-zero value (including
/// TRUE), negative numbers are rounded down (toward -∞). If Mode is omitted,
/// or equal to zero or FALSE, negative numbers are rounded up (toward +∞).
///
/// If any argument is non-numeric, then CEILING.MATH reports a #VALUE! error.
/// If either Number or Significance is equal to 0, then CEILING.MATH returns
/// 0.
///
/// Info:
/// Details specific to CEILING.MATH function
///
/// With Significance set to -1 or +1, or defaulted to 1, and Mode set or
/// defaulted to 0 or FALSE, CEILING.MATH provides functionality that
/// implements the standard mathematical definition of a ceiling value.
///
/// CEILING.MATH is similar to the CEILING function, the difference between the
/// two lying in the interpretation of the Significance argument. The CEILING
/// function requires the Significance and Number arguments to have the same
/// sign, whereas for CEILING.MATH the sign of the Significance argument is
/// ignored.
///
/// __See also__: [crate::of::ceiling_math()], [crate::of::ceiling_math_()],
/// Rounds a number to the nearest multiple of a significance value. In all
/// cases, the number is rounded up (toward +∞).
///
/// [documentfoundation->CEILING.PRECISE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.PRECISE)
///
/// __Syntax__:
/// ```ods
/// CEILING.PRECISE( Number: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __See also__: [crate::of::ceiling_precise_()],
/// Rounds a number to the nearest multiple of a significance value. In all
/// cases, the number is rounded up (toward +∞).
///
/// [documentfoundation->CEILING.PRECISE](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.PRECISE)
///
/// __Syntax__:
/// ```ods
/// CEILING.PRECISE( Number: Number; Significance: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __See also__: [crate::of::ceiling_precise()],
/// Rounds a number to the nearest multiple of a significance value. The
/// direction of rounding is dependent on the signs of the funtion's two
/// arguments.
///
/// [documentfoundation->CEILING.XCL](https://wiki.documentfoundation.org/Documentation/Calc_Functions/CEILING.XCL)
///
/// __Syntax__:
/// ```ods
/// CEILING.XCL( Number: Number; Significance: Number )
/// ```
///
/// __Info2__:
/// Returns a real number that is the rounded value and is an integer multiple
/// of the significance value.
///
/// __Semantics__:
///
/// Number is a real number, or a reference to a cell containing that number,
/// that is the value to be rounded.
///
/// Significance is a real number, or a reference to a cell containing that
/// number, that is the significance value to be used.
///
/// If either Number or Significance is non-numeric, then CEILING.XCL reports a
/// #VALUE! error.
/// If either Number or Significance is equal to 0, then CEILING.XCL returns 0.
/// If Number is positive and Significance is negative, then CEILING.XCL
/// reports an invalid argument error (Err:502).
///
/// The signs of the Number and Significance arguments define the direction of
/// rounding as defined in the following table.
///
/// __See also__: