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<?php
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namespace PhpOffice\PhpSpreadsheet\Calculation;
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use Complex\Complex;
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use PhpOffice\PhpSpreadsheet\Calculation\Engineering\ComplexFunctions;
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use PhpOffice\PhpSpreadsheet\Calculation\Engineering\ComplexOperations;
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/**
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* @deprecated 1.18.0
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*/
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class Engineering
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{
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/**
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* EULER.
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*
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* @deprecated 1.18.0
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* Use Engineering\Constants::EULER instead
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* @see Engineering\Constants::EULER
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*/
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public const EULER = 2.71828182845904523536;
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/**
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* BESSELI.
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*
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* Returns the modified Bessel function In(x), which is equivalent to the Bessel function evaluated
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* for purely imaginary arguments
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*
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* Excel Function:
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* BESSELI(x,ord)
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*
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* @deprecated 1.17.0
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* Use the BESSELI() method in the Engineering\BesselI class instead
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* @see Engineering\BesselI::BESSELI()
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*
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* @param float $x The value at which to evaluate the function.
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* If x is nonnumeric, BESSELI returns the #VALUE! error value.
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* @param int $ord The order of the Bessel function.
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* If ord is not an integer, it is truncated.
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* If $ord is nonnumeric, BESSELI returns the #VALUE! error value.
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* If $ord < 0, BESSELI returns the #NUM! error value.
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*
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* @return array|float|string Result, or a string containing an error
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*/
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public static function BESSELI($x, $ord)
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{
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return Engineering\BesselI::BESSELI($x, $ord);
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}
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/**
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* BESSELJ.
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*
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* Returns the Bessel function
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*
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* Excel Function:
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* BESSELJ(x,ord)
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*
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* @deprecated 1.17.0
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* Use the BESSELJ() method in the Engineering\BesselJ class instead
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* @see Engineering\BesselJ::BESSELJ()
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*
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* @param float $x The value at which to evaluate the function.
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* If x is nonnumeric, BESSELJ returns the #VALUE! error value.
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* @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
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* If $ord is nonnumeric, BESSELJ returns the #VALUE! error value.
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* If $ord < 0, BESSELJ returns the #NUM! error value.
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*
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* @return array|float|string Result, or a string containing an error
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*/
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public static function BESSELJ($x, $ord)
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{
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return Engineering\BesselJ::BESSELJ($x, $ord);
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}
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/**
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* BESSELK.
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*
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* Returns the modified Bessel function Kn(x), which is equivalent to the Bessel functions evaluated
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* for purely imaginary arguments.
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*
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* Excel Function:
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* BESSELK(x,ord)
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*
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* @deprecated 1.17.0
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* Use the BESSELK() method in the Engineering\BesselK class instead
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* @see Engineering\BesselK::BESSELK()
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*
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* @param float $x The value at which to evaluate the function.
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* If x is nonnumeric, BESSELK returns the #VALUE! error value.
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* @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
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* If $ord is nonnumeric, BESSELK returns the #VALUE! error value.
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* If $ord < 0, BESSELK returns the #NUM! error value.
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*
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* @return array|float|string Result, or a string containing an error
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*/
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public static function BESSELK($x, $ord)
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{
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return Engineering\BesselK::BESSELK($x, $ord);
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}
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/**
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* BESSELY.
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*
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* Returns the Bessel function, which is also called the Weber function or the Neumann function.
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*
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* Excel Function:
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* BESSELY(x,ord)
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*
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* @deprecated 1.17.0
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* Use the BESSELY() method in the Engineering\BesselY class instead
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* @see Engineering\BesselY::BESSELY()
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*
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* @param float $x The value at which to evaluate the function.
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* If x is nonnumeric, BESSELY returns the #VALUE! error value.
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* @param int $ord The order of the Bessel function. If n is not an integer, it is truncated.
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* If $ord is nonnumeric, BESSELY returns the #VALUE! error value.
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* If $ord < 0, BESSELY returns the #NUM! error value.
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*
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* @return array|float|string Result, or a string containing an error
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*/
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public static function BESSELY($x, $ord)
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{
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return Engineering\BesselY::BESSELY($x, $ord);
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}
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/**
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* BINTODEC.
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*
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* Return a binary value as decimal.
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*
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* Excel Function:
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* BIN2DEC(x)
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*
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* @deprecated 1.17.0
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* Use the toDecimal() method in the Engineering\ConvertBinary class instead
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* @see Engineering\ConvertBinary::toDecimal()
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*
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* @param mixed $x The binary number (as a string) that you want to convert. The number
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* cannot contain more than 10 characters (10 bits). The most significant
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* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
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* Negative numbers are represented using two's-complement notation.
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* If number is not a valid binary number, or if number contains more than
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* 10 characters (10 bits), BIN2DEC returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function BINTODEC($x)
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{
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return Engineering\ConvertBinary::toDecimal($x);
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}
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/**
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* BINTOHEX.
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*
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* Return a binary value as hex.
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*
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* Excel Function:
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* BIN2HEX(x[,places])
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*
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* @deprecated 1.17.0
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* Use the toHex() method in the Engineering\ConvertBinary class instead
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* @see Engineering\ConvertBinary::toHex()
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*
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* @param mixed $x The binary number (as a string) that you want to convert. The number
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* cannot contain more than 10 characters (10 bits). The most significant
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* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
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* Negative numbers are represented using two's-complement notation.
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* If number is not a valid binary number, or if number contains more than
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* 10 characters (10 bits), BIN2HEX returns the #NUM! error value.
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* @param mixed $places The number of characters to use. If places is omitted, BIN2HEX uses the
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* minimum number of characters necessary. Places is useful for padding the
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* return value with leading 0s (zeros).
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* If places is not an integer, it is truncated.
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* If places is nonnumeric, BIN2HEX returns the #VALUE! error value.
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* If places is negative, BIN2HEX returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function BINTOHEX($x, $places = null)
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{
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return Engineering\ConvertBinary::toHex($x, $places);
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}
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/**
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* BINTOOCT.
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*
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* Return a binary value as octal.
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*
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* Excel Function:
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* BIN2OCT(x[,places])
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*
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* @deprecated 1.17.0
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* Use the toOctal() method in the Engineering\ConvertBinary class instead
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* @see Engineering\ConvertBinary::toOctal()
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*
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* @param mixed $x The binary number (as a string) that you want to convert. The number
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* cannot contain more than 10 characters (10 bits). The most significant
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* bit of number is the sign bit. The remaining 9 bits are magnitude bits.
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* Negative numbers are represented using two's-complement notation.
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* If number is not a valid binary number, or if number contains more than
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* 10 characters (10 bits), BIN2OCT returns the #NUM! error value.
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* @param mixed $places The number of characters to use. If places is omitted, BIN2OCT uses the
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* minimum number of characters necessary. Places is useful for padding the
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* return value with leading 0s (zeros).
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* If places is not an integer, it is truncated.
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* If places is nonnumeric, BIN2OCT returns the #VALUE! error value.
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* If places is negative, BIN2OCT returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function BINTOOCT($x, $places = null)
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{
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return Engineering\ConvertBinary::toOctal($x, $places);
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}
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/**
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* DECTOBIN.
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*
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* Return a decimal value as binary.
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*
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* Excel Function:
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* DEC2BIN(x[,places])
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*
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* @deprecated 1.17.0
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* Use the toBinary() method in the Engineering\ConvertDecimal class instead
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* @see Engineering\ConvertDecimal::toBinary()
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*
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* @param mixed $x The decimal integer you want to convert. If number is negative,
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* valid place values are ignored and DEC2BIN returns a 10-character
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* (10-bit) binary number in which the most significant bit is the sign
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* bit. The remaining 9 bits are magnitude bits. Negative numbers are
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* represented using two's-complement notation.
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* If number < -512 or if number > 511, DEC2BIN returns the #NUM! error
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* value.
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* If number is nonnumeric, DEC2BIN returns the #VALUE! error value.
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* If DEC2BIN requires more than places characters, it returns the #NUM!
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* error value.
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* @param mixed $places The number of characters to use. If places is omitted, DEC2BIN uses
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* the minimum number of characters necessary. Places is useful for
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* padding the return value with leading 0s (zeros).
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* If places is not an integer, it is truncated.
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* If places is nonnumeric, DEC2BIN returns the #VALUE! error value.
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* If places is zero or negative, DEC2BIN returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function DECTOBIN($x, $places = null)
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{
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return Engineering\ConvertDecimal::toBinary($x, $places);
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}
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/**
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* DECTOHEX.
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*
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* Return a decimal value as hex.
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*
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* Excel Function:
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* DEC2HEX(x[,places])
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*
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* @deprecated 1.17.0
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* Use the toHex() method in the Engineering\ConvertDecimal class instead
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* @see Engineering\ConvertDecimal::toHex()
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*
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* @param mixed $x The decimal integer you want to convert. If number is negative,
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* places is ignored and DEC2HEX returns a 10-character (40-bit)
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* hexadecimal number in which the most significant bit is the sign
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* bit. The remaining 39 bits are magnitude bits. Negative numbers
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* are represented using two's-complement notation.
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* If number < -549,755,813,888 or if number > 549,755,813,887,
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* DEC2HEX returns the #NUM! error value.
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* If number is nonnumeric, DEC2HEX returns the #VALUE! error value.
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* If DEC2HEX requires more than places characters, it returns the
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* #NUM! error value.
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* @param mixed $places The number of characters to use. If places is omitted, DEC2HEX uses
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* the minimum number of characters necessary. Places is useful for
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* padding the return value with leading 0s (zeros).
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* If places is not an integer, it is truncated.
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* If places is nonnumeric, DEC2HEX returns the #VALUE! error value.
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* If places is zero or negative, DEC2HEX returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function DECTOHEX($x, $places = null)
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{
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return Engineering\ConvertDecimal::toHex($x, $places);
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}
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/**
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* DECTOOCT.
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*
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* Return an decimal value as octal.
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*
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* Excel Function:
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* DEC2OCT(x[,places])
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*
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* @deprecated 1.17.0
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* Use the toOctal() method in the Engineering\ConvertDecimal class instead
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* @see Engineering\ConvertDecimal::toOctal()
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*
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* @param mixed $x The decimal integer you want to convert. If number is negative,
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* places is ignored and DEC2OCT returns a 10-character (30-bit)
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* octal number in which the most significant bit is the sign bit.
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* The remaining 29 bits are magnitude bits. Negative numbers are
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* represented using two's-complement notation.
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* If number < -536,870,912 or if number > 536,870,911, DEC2OCT
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* returns the #NUM! error value.
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* If number is nonnumeric, DEC2OCT returns the #VALUE! error value.
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* If DEC2OCT requires more than places characters, it returns the
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* #NUM! error value.
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* @param mixed $places The number of characters to use. If places is omitted, DEC2OCT uses
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* the minimum number of characters necessary. Places is useful for
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* padding the return value with leading 0s (zeros).
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* If places is not an integer, it is truncated.
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* If places is nonnumeric, DEC2OCT returns the #VALUE! error value.
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* If places is zero or negative, DEC2OCT returns the #NUM! error value.
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*
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* @return array|string
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*/
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public static function DECTOOCT($x, $places = null)
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{
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return Engineering\ConvertDecimal::toOctal($x, $places);
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}
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/**
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* HEXTOBIN.
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*
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* Return a hex value as binary.
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328 |
*
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* Excel Function:
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330 |
* HEX2BIN(x[,places])
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*
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332 |
* @deprecated 1.17.0
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* Use the toBinary() method in the Engineering\ConvertHex class instead
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* @see Engineering\ConvertHex::toBinary()
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*
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* @param mixed $x the hexadecimal number (as a string) that you want to convert.
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337 |
* Number cannot contain more than 10 characters.
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* The most significant bit of number is the sign bit (40th bit from the right).
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* The remaining 9 bits are magnitude bits.
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* Negative numbers are represented using two's-complement notation.
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341 |
* If number is negative, HEX2BIN ignores places and returns a 10-character binary number.
|
|
|
342 |
* If number is negative, it cannot be less than FFFFFFFE00,
|
|
|
343 |
* and if number is positive, it cannot be greater than 1FF.
|
|
|
344 |
* If number is not a valid hexadecimal number, HEX2BIN returns the #NUM! error value.
|
|
|
345 |
* If HEX2BIN requires more than places characters, it returns the #NUM! error value.
|
|
|
346 |
* @param mixed $places The number of characters to use. If places is omitted,
|
|
|
347 |
* HEX2BIN uses the minimum number of characters necessary. Places
|
|
|
348 |
* is useful for padding the return value with leading 0s (zeros).
|
|
|
349 |
* If places is not an integer, it is truncated.
|
|
|
350 |
* If places is nonnumeric, HEX2BIN returns the #VALUE! error value.
|
|
|
351 |
* If places is negative, HEX2BIN returns the #NUM! error value.
|
|
|
352 |
*
|
|
|
353 |
* @return array|string
|
|
|
354 |
*/
|
|
|
355 |
public static function HEXTOBIN($x, $places = null)
|
|
|
356 |
{
|
|
|
357 |
return Engineering\ConvertHex::toBinary($x, $places);
|
|
|
358 |
}
|
|
|
359 |
|
|
|
360 |
/**
|
|
|
361 |
* HEXTODEC.
|
|
|
362 |
*
|
|
|
363 |
* Return a hex value as decimal.
|
|
|
364 |
*
|
|
|
365 |
* Excel Function:
|
|
|
366 |
* HEX2DEC(x)
|
|
|
367 |
*
|
|
|
368 |
* @deprecated 1.17.0
|
|
|
369 |
* Use the toDecimal() method in the Engineering\ConvertHex class instead
|
|
|
370 |
* @see Engineering\ConvertHex::toDecimal()
|
|
|
371 |
*
|
|
|
372 |
* @param mixed $x The hexadecimal number (as a string) that you want to convert. This number cannot
|
|
|
373 |
* contain more than 10 characters (40 bits). The most significant
|
|
|
374 |
* bit of number is the sign bit. The remaining 39 bits are magnitude
|
|
|
375 |
* bits. Negative numbers are represented using two's-complement
|
|
|
376 |
* notation.
|
|
|
377 |
* If number is not a valid hexadecimal number, HEX2DEC returns the
|
|
|
378 |
* #NUM! error value.
|
|
|
379 |
*
|
|
|
380 |
* @return array|string
|
|
|
381 |
*/
|
|
|
382 |
public static function HEXTODEC($x)
|
|
|
383 |
{
|
|
|
384 |
return Engineering\ConvertHex::toDecimal($x);
|
|
|
385 |
}
|
|
|
386 |
|
|
|
387 |
/**
|
|
|
388 |
* HEXTOOCT.
|
|
|
389 |
*
|
|
|
390 |
* Return a hex value as octal.
|
|
|
391 |
*
|
|
|
392 |
* Excel Function:
|
|
|
393 |
* HEX2OCT(x[,places])
|
|
|
394 |
*
|
|
|
395 |
* @deprecated 1.17.0
|
|
|
396 |
* Use the toOctal() method in the Engineering\ConvertHex class instead
|
|
|
397 |
* @see Engineering\ConvertHex::toOctal()
|
|
|
398 |
*
|
|
|
399 |
* @param mixed $x The hexadecimal number (as a string) that you want to convert. Number cannot
|
|
|
400 |
* contain more than 10 characters. The most significant bit of
|
|
|
401 |
* number is the sign bit. The remaining 39 bits are magnitude
|
|
|
402 |
* bits. Negative numbers are represented using two's-complement
|
|
|
403 |
* notation.
|
|
|
404 |
* If number is negative, HEX2OCT ignores places and returns a
|
|
|
405 |
* 10-character octal number.
|
|
|
406 |
* If number is negative, it cannot be less than FFE0000000, and
|
|
|
407 |
* if number is positive, it cannot be greater than 1FFFFFFF.
|
|
|
408 |
* If number is not a valid hexadecimal number, HEX2OCT returns
|
|
|
409 |
* the #NUM! error value.
|
|
|
410 |
* If HEX2OCT requires more than places characters, it returns
|
|
|
411 |
* the #NUM! error value.
|
|
|
412 |
* @param mixed $places The number of characters to use. If places is omitted, HEX2OCT
|
|
|
413 |
* uses the minimum number of characters necessary. Places is
|
|
|
414 |
* useful for padding the return value with leading 0s (zeros).
|
|
|
415 |
* If places is not an integer, it is truncated.
|
|
|
416 |
* If places is nonnumeric, HEX2OCT returns the #VALUE! error
|
|
|
417 |
* value.
|
|
|
418 |
* If places is negative, HEX2OCT returns the #NUM! error value.
|
|
|
419 |
*
|
|
|
420 |
* @return array|string
|
|
|
421 |
*/
|
|
|
422 |
public static function HEXTOOCT($x, $places = null)
|
|
|
423 |
{
|
|
|
424 |
return Engineering\ConvertHex::toOctal($x, $places);
|
|
|
425 |
}
|
|
|
426 |
|
|
|
427 |
/**
|
|
|
428 |
* OCTTOBIN.
|
|
|
429 |
*
|
|
|
430 |
* Return an octal value as binary.
|
|
|
431 |
*
|
|
|
432 |
* Excel Function:
|
|
|
433 |
* OCT2BIN(x[,places])
|
|
|
434 |
*
|
|
|
435 |
* @deprecated 1.17.0
|
|
|
436 |
* Use the toBinary() method in the Engineering\ConvertOctal class instead
|
|
|
437 |
* @see Engineering\ConvertOctal::toBinary()
|
|
|
438 |
*
|
|
|
439 |
* @param mixed $x The octal number you want to convert. Number may not
|
|
|
440 |
* contain more than 10 characters. The most significant
|
|
|
441 |
* bit of number is the sign bit. The remaining 29 bits
|
|
|
442 |
* are magnitude bits. Negative numbers are represented
|
|
|
443 |
* using two's-complement notation.
|
|
|
444 |
* If number is negative, OCT2BIN ignores places and returns
|
|
|
445 |
* a 10-character binary number.
|
|
|
446 |
* If number is negative, it cannot be less than 7777777000,
|
|
|
447 |
* and if number is positive, it cannot be greater than 777.
|
|
|
448 |
* If number is not a valid octal number, OCT2BIN returns
|
|
|
449 |
* the #NUM! error value.
|
|
|
450 |
* If OCT2BIN requires more than places characters, it
|
|
|
451 |
* returns the #NUM! error value.
|
|
|
452 |
* @param mixed $places The number of characters to use. If places is omitted,
|
|
|
453 |
* OCT2BIN uses the minimum number of characters necessary.
|
|
|
454 |
* Places is useful for padding the return value with
|
|
|
455 |
* leading 0s (zeros).
|
|
|
456 |
* If places is not an integer, it is truncated.
|
|
|
457 |
* If places is nonnumeric, OCT2BIN returns the #VALUE!
|
|
|
458 |
* error value.
|
|
|
459 |
* If places is negative, OCT2BIN returns the #NUM! error
|
|
|
460 |
* value.
|
|
|
461 |
*
|
|
|
462 |
* @return array|string
|
|
|
463 |
*/
|
|
|
464 |
public static function OCTTOBIN($x, $places = null)
|
|
|
465 |
{
|
|
|
466 |
return Engineering\ConvertOctal::toBinary($x, $places);
|
|
|
467 |
}
|
|
|
468 |
|
|
|
469 |
/**
|
|
|
470 |
* OCTTODEC.
|
|
|
471 |
*
|
|
|
472 |
* Return an octal value as decimal.
|
|
|
473 |
*
|
|
|
474 |
* Excel Function:
|
|
|
475 |
* OCT2DEC(x)
|
|
|
476 |
*
|
|
|
477 |
* @deprecated 1.17.0
|
|
|
478 |
* Use the toDecimal() method in the Engineering\ConvertOctal class instead
|
|
|
479 |
* @see Engineering\ConvertOctal::toDecimal()
|
|
|
480 |
*
|
|
|
481 |
* @param mixed $x The octal number you want to convert. Number may not contain
|
|
|
482 |
* more than 10 octal characters (30 bits). The most significant
|
|
|
483 |
* bit of number is the sign bit. The remaining 29 bits are
|
|
|
484 |
* magnitude bits. Negative numbers are represented using
|
|
|
485 |
* two's-complement notation.
|
|
|
486 |
* If number is not a valid octal number, OCT2DEC returns the
|
|
|
487 |
* #NUM! error value.
|
|
|
488 |
*
|
|
|
489 |
* @return array|string
|
|
|
490 |
*/
|
|
|
491 |
public static function OCTTODEC($x)
|
|
|
492 |
{
|
|
|
493 |
return Engineering\ConvertOctal::toDecimal($x);
|
|
|
494 |
}
|
|
|
495 |
|
|
|
496 |
/**
|
|
|
497 |
* OCTTOHEX.
|
|
|
498 |
*
|
|
|
499 |
* Return an octal value as hex.
|
|
|
500 |
*
|
|
|
501 |
* Excel Function:
|
|
|
502 |
* OCT2HEX(x[,places])
|
|
|
503 |
*
|
|
|
504 |
* @deprecated 1.17.0
|
|
|
505 |
* Use the toHex() method in the Engineering\ConvertOctal class instead
|
|
|
506 |
* @see Engineering\ConvertOctal::toHex()
|
|
|
507 |
*
|
|
|
508 |
* @param mixed $x The octal number you want to convert. Number may not contain
|
|
|
509 |
* more than 10 octal characters (30 bits). The most significant
|
|
|
510 |
* bit of number is the sign bit. The remaining 29 bits are
|
|
|
511 |
* magnitude bits. Negative numbers are represented using
|
|
|
512 |
* two's-complement notation.
|
|
|
513 |
* If number is negative, OCT2HEX ignores places and returns a
|
|
|
514 |
* 10-character hexadecimal number.
|
|
|
515 |
* If number is not a valid octal number, OCT2HEX returns the
|
|
|
516 |
* #NUM! error value.
|
|
|
517 |
* If OCT2HEX requires more than places characters, it returns
|
|
|
518 |
* the #NUM! error value.
|
|
|
519 |
* @param mixed $places The number of characters to use. If places is omitted, OCT2HEX
|
|
|
520 |
* uses the minimum number of characters necessary. Places is useful
|
|
|
521 |
* for padding the return value with leading 0s (zeros).
|
|
|
522 |
* If places is not an integer, it is truncated.
|
|
|
523 |
* If places is nonnumeric, OCT2HEX returns the #VALUE! error value.
|
|
|
524 |
* If places is negative, OCT2HEX returns the #NUM! error value.
|
|
|
525 |
*
|
|
|
526 |
* @return array|string
|
|
|
527 |
*/
|
|
|
528 |
public static function OCTTOHEX($x, $places = null)
|
|
|
529 |
{
|
|
|
530 |
return Engineering\ConvertOctal::toHex($x, $places);
|
|
|
531 |
}
|
|
|
532 |
|
|
|
533 |
/**
|
|
|
534 |
* COMPLEX.
|
|
|
535 |
*
|
|
|
536 |
* Converts real and imaginary coefficients into a complex number of the form x +/- yi or x +/- yj.
|
|
|
537 |
*
|
|
|
538 |
* Excel Function:
|
|
|
539 |
* COMPLEX(realNumber,imaginary[,suffix])
|
|
|
540 |
*
|
|
|
541 |
* @deprecated 1.18.0
|
|
|
542 |
* Use the COMPLEX() method in the Engineering\Complex class instead
|
|
|
543 |
* @see Engineering\Complex::COMPLEX()
|
|
|
544 |
*
|
|
|
545 |
* @param array|float $realNumber the real coefficient of the complex number
|
|
|
546 |
* @param array|float $imaginary the imaginary coefficient of the complex number
|
|
|
547 |
* @param array|string $suffix The suffix for the imaginary component of the complex number.
|
|
|
548 |
* If omitted, the suffix is assumed to be "i".
|
|
|
549 |
*
|
|
|
550 |
* @return array|string
|
|
|
551 |
*/
|
|
|
552 |
public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i')
|
|
|
553 |
{
|
|
|
554 |
return Engineering\Complex::COMPLEX($realNumber, $imaginary, $suffix);
|
|
|
555 |
}
|
|
|
556 |
|
|
|
557 |
/**
|
|
|
558 |
* IMAGINARY.
|
|
|
559 |
*
|
|
|
560 |
* Returns the imaginary coefficient of a complex number in x + yi or x + yj text format.
|
|
|
561 |
*
|
|
|
562 |
* Excel Function:
|
|
|
563 |
* IMAGINARY(complexNumber)
|
|
|
564 |
*
|
|
|
565 |
* @deprecated 1.18.0
|
|
|
566 |
* Use the IMAGINARY() method in the Engineering\Complex class instead
|
|
|
567 |
* @see Engineering\Complex::IMAGINARY()
|
|
|
568 |
*
|
|
|
569 |
* @param string $complexNumber the complex number for which you want the imaginary
|
|
|
570 |
* coefficient
|
|
|
571 |
*
|
|
|
572 |
* @return array|float|string
|
|
|
573 |
*/
|
|
|
574 |
public static function IMAGINARY($complexNumber)
|
|
|
575 |
{
|
|
|
576 |
return Engineering\Complex::IMAGINARY($complexNumber);
|
|
|
577 |
}
|
|
|
578 |
|
|
|
579 |
/**
|
|
|
580 |
* IMREAL.
|
|
|
581 |
*
|
|
|
582 |
* Returns the real coefficient of a complex number in x + yi or x + yj text format.
|
|
|
583 |
*
|
|
|
584 |
* Excel Function:
|
|
|
585 |
* IMREAL(complexNumber)
|
|
|
586 |
*
|
|
|
587 |
* @deprecated 1.18.0
|
|
|
588 |
* Use the IMREAL() method in the Engineering\Complex class instead
|
|
|
589 |
* @see Engineering\Complex::IMREAL()
|
|
|
590 |
*
|
|
|
591 |
* @param string $complexNumber the complex number for which you want the real coefficient
|
|
|
592 |
*
|
|
|
593 |
* @return array|float|string
|
|
|
594 |
*/
|
|
|
595 |
public static function IMREAL($complexNumber)
|
|
|
596 |
{
|
|
|
597 |
return Engineering\Complex::IMREAL($complexNumber);
|
|
|
598 |
}
|
|
|
599 |
|
|
|
600 |
/**
|
|
|
601 |
* IMABS.
|
|
|
602 |
*
|
|
|
603 |
* Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.
|
|
|
604 |
*
|
|
|
605 |
* Excel Function:
|
|
|
606 |
* IMABS(complexNumber)
|
|
|
607 |
*
|
|
|
608 |
* @deprecated 1.18.0
|
|
|
609 |
* Use the IMABS() method in the Engineering\ComplexFunctions class instead
|
|
|
610 |
* @see ComplexFunctions::IMABS()
|
|
|
611 |
*
|
|
|
612 |
* @param string $complexNumber the complex number for which you want the absolute value
|
|
|
613 |
*
|
|
|
614 |
* @return array|float|string
|
|
|
615 |
*/
|
|
|
616 |
public static function IMABS($complexNumber)
|
|
|
617 |
{
|
|
|
618 |
return ComplexFunctions::IMABS($complexNumber);
|
|
|
619 |
}
|
|
|
620 |
|
|
|
621 |
/**
|
|
|
622 |
* IMARGUMENT.
|
|
|
623 |
*
|
|
|
624 |
* Returns the argument theta of a complex number, i.e. the angle in radians from the real
|
|
|
625 |
* axis to the representation of the number in polar coordinates.
|
|
|
626 |
*
|
|
|
627 |
* Excel Function:
|
|
|
628 |
* IMARGUMENT(complexNumber)
|
|
|
629 |
*
|
|
|
630 |
* @deprecated 1.18.0
|
|
|
631 |
* Use the IMARGUMENT() method in the Engineering\ComplexFunctions class instead
|
|
|
632 |
* @see ComplexFunctions::IMARGUMENT()
|
|
|
633 |
*
|
|
|
634 |
* @param array|string $complexNumber the complex number for which you want the argument theta
|
|
|
635 |
*
|
|
|
636 |
* @return array|float|string
|
|
|
637 |
*/
|
|
|
638 |
public static function IMARGUMENT($complexNumber)
|
|
|
639 |
{
|
|
|
640 |
return ComplexFunctions::IMARGUMENT($complexNumber);
|
|
|
641 |
}
|
|
|
642 |
|
|
|
643 |
/**
|
|
|
644 |
* IMCONJUGATE.
|
|
|
645 |
*
|
|
|
646 |
* Returns the complex conjugate of a complex number in x + yi or x + yj text format.
|
|
|
647 |
*
|
|
|
648 |
* Excel Function:
|
|
|
649 |
* IMCONJUGATE(complexNumber)
|
|
|
650 |
*
|
|
|
651 |
* @deprecated 1.18.0
|
|
|
652 |
* Use the IMCONJUGATE() method in the Engineering\ComplexFunctions class instead
|
|
|
653 |
* @see ComplexFunctions::IMCONJUGATE()
|
|
|
654 |
*
|
|
|
655 |
* @param array|string $complexNumber the complex number for which you want the conjugate
|
|
|
656 |
*
|
|
|
657 |
* @return array|string
|
|
|
658 |
*/
|
|
|
659 |
public static function IMCONJUGATE($complexNumber)
|
|
|
660 |
{
|
|
|
661 |
return ComplexFunctions::IMCONJUGATE($complexNumber);
|
|
|
662 |
}
|
|
|
663 |
|
|
|
664 |
/**
|
|
|
665 |
* IMCOS.
|
|
|
666 |
*
|
|
|
667 |
* Returns the cosine of a complex number in x + yi or x + yj text format.
|
|
|
668 |
*
|
|
|
669 |
* Excel Function:
|
|
|
670 |
* IMCOS(complexNumber)
|
|
|
671 |
*
|
|
|
672 |
* @deprecated 1.18.0
|
|
|
673 |
* Use the IMCOS() method in the Engineering\ComplexFunctions class instead
|
|
|
674 |
* @see ComplexFunctions::IMCOS()
|
|
|
675 |
*
|
|
|
676 |
* @param array|string $complexNumber the complex number for which you want the cosine
|
|
|
677 |
*
|
|
|
678 |
* @return array|float|string
|
|
|
679 |
*/
|
|
|
680 |
public static function IMCOS($complexNumber)
|
|
|
681 |
{
|
|
|
682 |
return ComplexFunctions::IMCOS($complexNumber);
|
|
|
683 |
}
|
|
|
684 |
|
|
|
685 |
/**
|
|
|
686 |
* IMCOSH.
|
|
|
687 |
*
|
|
|
688 |
* Returns the hyperbolic cosine of a complex number in x + yi or x + yj text format.
|
|
|
689 |
*
|
|
|
690 |
* Excel Function:
|
|
|
691 |
* IMCOSH(complexNumber)
|
|
|
692 |
*
|
|
|
693 |
* @deprecated 1.18.0
|
|
|
694 |
* Use the IMCOSH() method in the Engineering\ComplexFunctions class instead
|
|
|
695 |
* @see ComplexFunctions::IMCOSH()
|
|
|
696 |
*
|
|
|
697 |
* @param array|string $complexNumber the complex number for which you want the hyperbolic cosine
|
|
|
698 |
*
|
|
|
699 |
* @return array|float|string
|
|
|
700 |
*/
|
|
|
701 |
public static function IMCOSH($complexNumber)
|
|
|
702 |
{
|
|
|
703 |
return ComplexFunctions::IMCOSH($complexNumber);
|
|
|
704 |
}
|
|
|
705 |
|
|
|
706 |
/**
|
|
|
707 |
* IMCOT.
|
|
|
708 |
*
|
|
|
709 |
* Returns the cotangent of a complex number in x + yi or x + yj text format.
|
|
|
710 |
*
|
|
|
711 |
* Excel Function:
|
|
|
712 |
* IMCOT(complexNumber)
|
|
|
713 |
*
|
|
|
714 |
* @deprecated 1.18.0
|
|
|
715 |
* Use the IMCOT() method in the Engineering\ComplexFunctions class instead
|
|
|
716 |
* @see ComplexFunctions::IMCOT()
|
|
|
717 |
*
|
|
|
718 |
* @param array|string $complexNumber the complex number for which you want the cotangent
|
|
|
719 |
*
|
|
|
720 |
* @return array|float|string
|
|
|
721 |
*/
|
|
|
722 |
public static function IMCOT($complexNumber)
|
|
|
723 |
{
|
|
|
724 |
return ComplexFunctions::IMCOT($complexNumber);
|
|
|
725 |
}
|
|
|
726 |
|
|
|
727 |
/**
|
|
|
728 |
* IMCSC.
|
|
|
729 |
*
|
|
|
730 |
* Returns the cosecant of a complex number in x + yi or x + yj text format.
|
|
|
731 |
*
|
|
|
732 |
* Excel Function:
|
|
|
733 |
* IMCSC(complexNumber)
|
|
|
734 |
*
|
|
|
735 |
* @deprecated 1.18.0
|
|
|
736 |
* Use the IMCSC() method in the Engineering\ComplexFunctions class instead
|
|
|
737 |
* @see ComplexFunctions::IMCSC()
|
|
|
738 |
*
|
|
|
739 |
* @param array|string $complexNumber the complex number for which you want the cosecant
|
|
|
740 |
*
|
|
|
741 |
* @return array|float|string
|
|
|
742 |
*/
|
|
|
743 |
public static function IMCSC($complexNumber)
|
|
|
744 |
{
|
|
|
745 |
return ComplexFunctions::IMCSC($complexNumber);
|
|
|
746 |
}
|
|
|
747 |
|
|
|
748 |
/**
|
|
|
749 |
* IMCSCH.
|
|
|
750 |
*
|
|
|
751 |
* Returns the hyperbolic cosecant of a complex number in x + yi or x + yj text format.
|
|
|
752 |
*
|
|
|
753 |
* Excel Function:
|
|
|
754 |
* IMCSCH(complexNumber)
|
|
|
755 |
*
|
|
|
756 |
* @deprecated 1.18.0
|
|
|
757 |
* Use the IMCSCH() method in the Engineering\ComplexFunctions class instead
|
|
|
758 |
* @see ComplexFunctions::IMCSCH()
|
|
|
759 |
*
|
|
|
760 |
* @param array|string $complexNumber the complex number for which you want the hyperbolic cosecant
|
|
|
761 |
*
|
|
|
762 |
* @return array|float|string
|
|
|
763 |
*/
|
|
|
764 |
public static function IMCSCH($complexNumber)
|
|
|
765 |
{
|
|
|
766 |
return ComplexFunctions::IMCSCH($complexNumber);
|
|
|
767 |
}
|
|
|
768 |
|
|
|
769 |
/**
|
|
|
770 |
* IMSIN.
|
|
|
771 |
*
|
|
|
772 |
* Returns the sine of a complex number in x + yi or x + yj text format.
|
|
|
773 |
*
|
|
|
774 |
* Excel Function:
|
|
|
775 |
* IMSIN(complexNumber)
|
|
|
776 |
*
|
|
|
777 |
* @deprecated 1.18.0
|
|
|
778 |
* Use the IMSIN() method in the Engineering\ComplexFunctions class instead
|
|
|
779 |
* @see ComplexFunctions::IMSIN()
|
|
|
780 |
*
|
|
|
781 |
* @param string $complexNumber the complex number for which you want the sine
|
|
|
782 |
*
|
|
|
783 |
* @return array|float|string
|
|
|
784 |
*/
|
|
|
785 |
public static function IMSIN($complexNumber)
|
|
|
786 |
{
|
|
|
787 |
return ComplexFunctions::IMSIN($complexNumber);
|
|
|
788 |
}
|
|
|
789 |
|
|
|
790 |
/**
|
|
|
791 |
* IMSINH.
|
|
|
792 |
*
|
|
|
793 |
* Returns the hyperbolic sine of a complex number in x + yi or x + yj text format.
|
|
|
794 |
*
|
|
|
795 |
* Excel Function:
|
|
|
796 |
* IMSINH(complexNumber)
|
|
|
797 |
*
|
|
|
798 |
* @deprecated 1.18.0
|
|
|
799 |
* Use the IMSINH() method in the Engineering\ComplexFunctions class instead
|
|
|
800 |
* @see ComplexFunctions::IMSINH()
|
|
|
801 |
*
|
|
|
802 |
* @param string $complexNumber the complex number for which you want the hyperbolic sine
|
|
|
803 |
*
|
|
|
804 |
* @return array|float|string
|
|
|
805 |
*/
|
|
|
806 |
public static function IMSINH($complexNumber)
|
|
|
807 |
{
|
|
|
808 |
return ComplexFunctions::IMSINH($complexNumber);
|
|
|
809 |
}
|
|
|
810 |
|
|
|
811 |
/**
|
|
|
812 |
* IMSEC.
|
|
|
813 |
*
|
|
|
814 |
* Returns the secant of a complex number in x + yi or x + yj text format.
|
|
|
815 |
*
|
|
|
816 |
* Excel Function:
|
|
|
817 |
* IMSEC(complexNumber)
|
|
|
818 |
*
|
|
|
819 |
* @deprecated 1.18.0
|
|
|
820 |
* Use the IMSEC() method in the Engineering\ComplexFunctions class instead
|
|
|
821 |
* @see ComplexFunctions::IMSEC()
|
|
|
822 |
*
|
|
|
823 |
* @param string $complexNumber the complex number for which you want the secant
|
|
|
824 |
*
|
|
|
825 |
* @return array|float|string
|
|
|
826 |
*/
|
|
|
827 |
public static function IMSEC($complexNumber)
|
|
|
828 |
{
|
|
|
829 |
return ComplexFunctions::IMSEC($complexNumber);
|
|
|
830 |
}
|
|
|
831 |
|
|
|
832 |
/**
|
|
|
833 |
* IMSECH.
|
|
|
834 |
*
|
|
|
835 |
* Returns the hyperbolic secant of a complex number in x + yi or x + yj text format.
|
|
|
836 |
*
|
|
|
837 |
* Excel Function:
|
|
|
838 |
* IMSECH(complexNumber)
|
|
|
839 |
*
|
|
|
840 |
* @deprecated 1.18.0
|
|
|
841 |
* Use the IMSECH() method in the Engineering\ComplexFunctions class instead
|
|
|
842 |
* @see ComplexFunctions::IMSECH()
|
|
|
843 |
*
|
|
|
844 |
* @param string $complexNumber the complex number for which you want the hyperbolic secant
|
|
|
845 |
*
|
|
|
846 |
* @return array|float|string
|
|
|
847 |
*/
|
|
|
848 |
public static function IMSECH($complexNumber)
|
|
|
849 |
{
|
|
|
850 |
return ComplexFunctions::IMSECH($complexNumber);
|
|
|
851 |
}
|
|
|
852 |
|
|
|
853 |
/**
|
|
|
854 |
* IMTAN.
|
|
|
855 |
*
|
|
|
856 |
* Returns the tangent of a complex number in x + yi or x + yj text format.
|
|
|
857 |
*
|
|
|
858 |
* Excel Function:
|
|
|
859 |
* IMTAN(complexNumber)
|
|
|
860 |
*
|
|
|
861 |
* @deprecated 1.18.0
|
|
|
862 |
* Use the IMTAN() method in the Engineering\ComplexFunctions class instead
|
|
|
863 |
* @see ComplexFunctions::IMTAN()
|
|
|
864 |
*
|
|
|
865 |
* @param string $complexNumber the complex number for which you want the tangent
|
|
|
866 |
*
|
|
|
867 |
* @return array|float|string
|
|
|
868 |
*/
|
|
|
869 |
public static function IMTAN($complexNumber)
|
|
|
870 |
{
|
|
|
871 |
return ComplexFunctions::IMTAN($complexNumber);
|
|
|
872 |
}
|
|
|
873 |
|
|
|
874 |
/**
|
|
|
875 |
* IMSQRT.
|
|
|
876 |
*
|
|
|
877 |
* Returns the square root of a complex number in x + yi or x + yj text format.
|
|
|
878 |
*
|
|
|
879 |
* Excel Function:
|
|
|
880 |
* IMSQRT(complexNumber)
|
|
|
881 |
*
|
|
|
882 |
* @deprecated 1.18.0
|
|
|
883 |
* Use the IMSQRT() method in the Engineering\ComplexFunctions class instead
|
|
|
884 |
* @see ComplexFunctions::IMSQRT()
|
|
|
885 |
*
|
|
|
886 |
* @param string $complexNumber the complex number for which you want the square root
|
|
|
887 |
*
|
|
|
888 |
* @return array|string
|
|
|
889 |
*/
|
|
|
890 |
public static function IMSQRT($complexNumber)
|
|
|
891 |
{
|
|
|
892 |
return ComplexFunctions::IMSQRT($complexNumber);
|
|
|
893 |
}
|
|
|
894 |
|
|
|
895 |
/**
|
|
|
896 |
* IMLN.
|
|
|
897 |
*
|
|
|
898 |
* Returns the natural logarithm of a complex number in x + yi or x + yj text format.
|
|
|
899 |
*
|
|
|
900 |
* Excel Function:
|
|
|
901 |
* IMLN(complexNumber)
|
|
|
902 |
*
|
|
|
903 |
* @deprecated 1.18.0
|
|
|
904 |
* Use the IMLN() method in the Engineering\ComplexFunctions class instead
|
|
|
905 |
* @see ComplexFunctions::IMLN()
|
|
|
906 |
*
|
|
|
907 |
* @param string $complexNumber the complex number for which you want the natural logarithm
|
|
|
908 |
*
|
|
|
909 |
* @return array|string
|
|
|
910 |
*/
|
|
|
911 |
public static function IMLN($complexNumber)
|
|
|
912 |
{
|
|
|
913 |
return ComplexFunctions::IMLN($complexNumber);
|
|
|
914 |
}
|
|
|
915 |
|
|
|
916 |
/**
|
|
|
917 |
* IMLOG10.
|
|
|
918 |
*
|
|
|
919 |
* Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format.
|
|
|
920 |
*
|
|
|
921 |
* Excel Function:
|
|
|
922 |
* IMLOG10(complexNumber)
|
|
|
923 |
*
|
|
|
924 |
* @deprecated 1.18.0
|
|
|
925 |
* Use the IMLOG10() method in the Engineering\ComplexFunctions class instead
|
|
|
926 |
* @see ComplexFunctions::IMLOG10()
|
|
|
927 |
*
|
|
|
928 |
* @param string $complexNumber the complex number for which you want the common logarithm
|
|
|
929 |
*
|
|
|
930 |
* @return array|string
|
|
|
931 |
*/
|
|
|
932 |
public static function IMLOG10($complexNumber)
|
|
|
933 |
{
|
|
|
934 |
return ComplexFunctions::IMLOG10($complexNumber);
|
|
|
935 |
}
|
|
|
936 |
|
|
|
937 |
/**
|
|
|
938 |
* IMLOG2.
|
|
|
939 |
*
|
|
|
940 |
* Returns the base-2 logarithm of a complex number in x + yi or x + yj text format.
|
|
|
941 |
*
|
|
|
942 |
* Excel Function:
|
|
|
943 |
* IMLOG2(complexNumber)
|
|
|
944 |
*
|
|
|
945 |
* @deprecated 1.18.0
|
|
|
946 |
* Use the IMLOG2() method in the Engineering\ComplexFunctions class instead
|
|
|
947 |
* @see ComplexFunctions::IMLOG2()
|
|
|
948 |
*
|
|
|
949 |
* @param string $complexNumber the complex number for which you want the base-2 logarithm
|
|
|
950 |
*
|
|
|
951 |
* @return array|string
|
|
|
952 |
*/
|
|
|
953 |
public static function IMLOG2($complexNumber)
|
|
|
954 |
{
|
|
|
955 |
return ComplexFunctions::IMLOG2($complexNumber);
|
|
|
956 |
}
|
|
|
957 |
|
|
|
958 |
/**
|
|
|
959 |
* IMEXP.
|
|
|
960 |
*
|
|
|
961 |
* Returns the exponential of a complex number in x + yi or x + yj text format.
|
|
|
962 |
*
|
|
|
963 |
* Excel Function:
|
|
|
964 |
* IMEXP(complexNumber)
|
|
|
965 |
*
|
|
|
966 |
* @deprecated 1.18.0
|
|
|
967 |
* Use the IMEXP() method in the Engineering\ComplexFunctions class instead
|
|
|
968 |
* @see ComplexFunctions::IMEXP()
|
|
|
969 |
*
|
|
|
970 |
* @param string $complexNumber the complex number for which you want the exponential
|
|
|
971 |
*
|
|
|
972 |
* @return array|string
|
|
|
973 |
*/
|
|
|
974 |
public static function IMEXP($complexNumber)
|
|
|
975 |
{
|
|
|
976 |
return ComplexFunctions::IMEXP($complexNumber);
|
|
|
977 |
}
|
|
|
978 |
|
|
|
979 |
/**
|
|
|
980 |
* IMPOWER.
|
|
|
981 |
*
|
|
|
982 |
* Returns a complex number in x + yi or x + yj text format raised to a power.
|
|
|
983 |
*
|
|
|
984 |
* Excel Function:
|
|
|
985 |
* IMPOWER(complexNumber,realNumber)
|
|
|
986 |
*
|
|
|
987 |
* @deprecated 1.18.0
|
|
|
988 |
* Use the IMPOWER() method in the Engineering\ComplexFunctions class instead
|
|
|
989 |
* @see ComplexFunctions::IMPOWER()
|
|
|
990 |
*
|
|
|
991 |
* @param string $complexNumber the complex number you want to raise to a power
|
|
|
992 |
* @param float $realNumber the power to which you want to raise the complex number
|
|
|
993 |
*
|
|
|
994 |
* @return array|string
|
|
|
995 |
*/
|
|
|
996 |
public static function IMPOWER($complexNumber, $realNumber)
|
|
|
997 |
{
|
|
|
998 |
return ComplexFunctions::IMPOWER($complexNumber, $realNumber);
|
|
|
999 |
}
|
|
|
1000 |
|
|
|
1001 |
/**
|
|
|
1002 |
* IMDIV.
|
|
|
1003 |
*
|
|
|
1004 |
* Returns the quotient of two complex numbers in x + yi or x + yj text format.
|
|
|
1005 |
*
|
|
|
1006 |
* Excel Function:
|
|
|
1007 |
* IMDIV(complexDividend,complexDivisor)
|
|
|
1008 |
*
|
|
|
1009 |
* @deprecated 1.18.0
|
|
|
1010 |
* Use the IMDIV() method in the Engineering\ComplexOperations class instead
|
|
|
1011 |
* @see ComplexOperations::IMDIV()
|
|
|
1012 |
*
|
|
|
1013 |
* @param string $complexDividend the complex numerator or dividend
|
|
|
1014 |
* @param string $complexDivisor the complex denominator or divisor
|
|
|
1015 |
*
|
|
|
1016 |
* @return array|string
|
|
|
1017 |
*/
|
|
|
1018 |
public static function IMDIV($complexDividend, $complexDivisor)
|
|
|
1019 |
{
|
|
|
1020 |
return ComplexOperations::IMDIV($complexDividend, $complexDivisor);
|
|
|
1021 |
}
|
|
|
1022 |
|
|
|
1023 |
/**
|
|
|
1024 |
* IMSUB.
|
|
|
1025 |
*
|
|
|
1026 |
* Returns the difference of two complex numbers in x + yi or x + yj text format.
|
|
|
1027 |
*
|
|
|
1028 |
* Excel Function:
|
|
|
1029 |
* IMSUB(complexNumber1,complexNumber2)
|
|
|
1030 |
*
|
|
|
1031 |
* @deprecated 1.18.0
|
|
|
1032 |
* Use the IMSUB() method in the Engineering\ComplexOperations class instead
|
|
|
1033 |
* @see ComplexOperations::IMSUB()
|
|
|
1034 |
*
|
|
|
1035 |
* @param string $complexNumber1 the complex number from which to subtract complexNumber2
|
|
|
1036 |
* @param string $complexNumber2 the complex number to subtract from complexNumber1
|
|
|
1037 |
*
|
|
|
1038 |
* @return array|string
|
|
|
1039 |
*/
|
|
|
1040 |
public static function IMSUB($complexNumber1, $complexNumber2)
|
|
|
1041 |
{
|
|
|
1042 |
return ComplexOperations::IMSUB($complexNumber1, $complexNumber2);
|
|
|
1043 |
}
|
|
|
1044 |
|
|
|
1045 |
/**
|
|
|
1046 |
* IMSUM.
|
|
|
1047 |
*
|
|
|
1048 |
* Returns the sum of two or more complex numbers in x + yi or x + yj text format.
|
|
|
1049 |
*
|
|
|
1050 |
* Excel Function:
|
|
|
1051 |
* IMSUM(complexNumber[,complexNumber[,...]])
|
|
|
1052 |
*
|
|
|
1053 |
* @deprecated 1.18.0
|
|
|
1054 |
* Use the IMSUM() method in the Engineering\ComplexOperations class instead
|
|
|
1055 |
* @see ComplexOperations::IMSUM()
|
|
|
1056 |
*
|
|
|
1057 |
* @param string ...$complexNumbers Series of complex numbers to add
|
|
|
1058 |
*
|
|
|
1059 |
* @return string
|
|
|
1060 |
*/
|
|
|
1061 |
public static function IMSUM(...$complexNumbers)
|
|
|
1062 |
{
|
|
|
1063 |
return ComplexOperations::IMSUM(...$complexNumbers);
|
|
|
1064 |
}
|
|
|
1065 |
|
|
|
1066 |
/**
|
|
|
1067 |
* IMPRODUCT.
|
|
|
1068 |
*
|
|
|
1069 |
* Returns the product of two or more complex numbers in x + yi or x + yj text format.
|
|
|
1070 |
*
|
|
|
1071 |
* Excel Function:
|
|
|
1072 |
* IMPRODUCT(complexNumber[,complexNumber[,...]])
|
|
|
1073 |
*
|
|
|
1074 |
* @deprecated 1.18.0
|
|
|
1075 |
* Use the IMPRODUCT() method in the Engineering\ComplexOperations class instead
|
|
|
1076 |
* @see ComplexOperations::IMPRODUCT()
|
|
|
1077 |
*
|
|
|
1078 |
* @param string ...$complexNumbers Series of complex numbers to multiply
|
|
|
1079 |
*
|
|
|
1080 |
* @return string
|
|
|
1081 |
*/
|
|
|
1082 |
public static function IMPRODUCT(...$complexNumbers)
|
|
|
1083 |
{
|
|
|
1084 |
return ComplexOperations::IMPRODUCT(...$complexNumbers);
|
|
|
1085 |
}
|
|
|
1086 |
|
|
|
1087 |
/**
|
|
|
1088 |
* DELTA.
|
|
|
1089 |
*
|
|
|
1090 |
* Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise.
|
|
|
1091 |
* Use this function to filter a set of values. For example, by summing several DELTA
|
|
|
1092 |
* functions you calculate the count of equal pairs. This function is also known as the
|
|
|
1093 |
* Kronecker Delta function.
|
|
|
1094 |
*
|
|
|
1095 |
* Excel Function:
|
|
|
1096 |
* DELTA(a[,b])
|
|
|
1097 |
*
|
|
|
1098 |
* @deprecated 1.17.0
|
|
|
1099 |
* Use the DELTA() method in the Engineering\Compare class instead
|
|
|
1100 |
* @see Engineering\Compare::DELTA()
|
|
|
1101 |
*
|
|
|
1102 |
* @param float $a the first number
|
|
|
1103 |
* @param float $b The second number. If omitted, b is assumed to be zero.
|
|
|
1104 |
*
|
|
|
1105 |
* @return array|int|string (string in the event of an error)
|
|
|
1106 |
*/
|
|
|
1107 |
public static function DELTA($a, $b = 0)
|
|
|
1108 |
{
|
|
|
1109 |
return Engineering\Compare::DELTA($a, $b);
|
|
|
1110 |
}
|
|
|
1111 |
|
|
|
1112 |
/**
|
|
|
1113 |
* GESTEP.
|
|
|
1114 |
*
|
|
|
1115 |
* Excel Function:
|
|
|
1116 |
* GESTEP(number[,step])
|
|
|
1117 |
*
|
|
|
1118 |
* Returns 1 if number >= step; returns 0 (zero) otherwise
|
|
|
1119 |
* Use this function to filter a set of values. For example, by summing several GESTEP
|
|
|
1120 |
* functions you calculate the count of values that exceed a threshold.
|
|
|
1121 |
*
|
|
|
1122 |
* @deprecated 1.17.0
|
|
|
1123 |
* Use the GESTEP() method in the Engineering\Compare class instead
|
|
|
1124 |
* @see Engineering\Compare::GESTEP()
|
|
|
1125 |
*
|
|
|
1126 |
* @param float $number the value to test against step
|
|
|
1127 |
* @param float $step The threshold value. If you omit a value for step, GESTEP uses zero.
|
|
|
1128 |
*
|
|
|
1129 |
* @return array|int|string (string in the event of an error)
|
|
|
1130 |
*/
|
|
|
1131 |
public static function GESTEP($number, $step = 0)
|
|
|
1132 |
{
|
|
|
1133 |
return Engineering\Compare::GESTEP($number, $step);
|
|
|
1134 |
}
|
|
|
1135 |
|
|
|
1136 |
/**
|
|
|
1137 |
* BITAND.
|
|
|
1138 |
*
|
|
|
1139 |
* Returns the bitwise AND of two integer values.
|
|
|
1140 |
*
|
|
|
1141 |
* Excel Function:
|
|
|
1142 |
* BITAND(number1, number2)
|
|
|
1143 |
*
|
|
|
1144 |
* @deprecated 1.17.0
|
|
|
1145 |
* Use the BITAND() method in the Engineering\BitWise class instead
|
|
|
1146 |
* @see Engineering\BitWise::BITAND()
|
|
|
1147 |
*
|
|
|
1148 |
* @param int $number1
|
|
|
1149 |
* @param int $number2
|
|
|
1150 |
*
|
|
|
1151 |
* @return array|int|string
|
|
|
1152 |
*/
|
|
|
1153 |
public static function BITAND($number1, $number2)
|
|
|
1154 |
{
|
|
|
1155 |
return Engineering\BitWise::BITAND($number1, $number2);
|
|
|
1156 |
}
|
|
|
1157 |
|
|
|
1158 |
/**
|
|
|
1159 |
* BITOR.
|
|
|
1160 |
*
|
|
|
1161 |
* Returns the bitwise OR of two integer values.
|
|
|
1162 |
*
|
|
|
1163 |
* Excel Function:
|
|
|
1164 |
* BITOR(number1, number2)
|
|
|
1165 |
*
|
|
|
1166 |
* @deprecated 1.17.0
|
|
|
1167 |
* Use the BITOR() method in the Engineering\BitWise class instead
|
|
|
1168 |
* @see Engineering\BitWise::BITOR()
|
|
|
1169 |
*
|
|
|
1170 |
* @param int $number1
|
|
|
1171 |
* @param int $number2
|
|
|
1172 |
*
|
|
|
1173 |
* @return array|int|string
|
|
|
1174 |
*/
|
|
|
1175 |
public static function BITOR($number1, $number2)
|
|
|
1176 |
{
|
|
|
1177 |
return Engineering\BitWise::BITOR($number1, $number2);
|
|
|
1178 |
}
|
|
|
1179 |
|
|
|
1180 |
/**
|
|
|
1181 |
* BITXOR.
|
|
|
1182 |
*
|
|
|
1183 |
* Returns the bitwise XOR of two integer values.
|
|
|
1184 |
*
|
|
|
1185 |
* Excel Function:
|
|
|
1186 |
* BITXOR(number1, number2)
|
|
|
1187 |
*
|
|
|
1188 |
* @deprecated 1.17.0
|
|
|
1189 |
* Use the BITXOR() method in the Engineering\BitWise class instead
|
|
|
1190 |
* @see Engineering\BitWise::BITXOR()
|
|
|
1191 |
*
|
|
|
1192 |
* @param int $number1
|
|
|
1193 |
* @param int $number2
|
|
|
1194 |
*
|
|
|
1195 |
* @return array|int|string
|
|
|
1196 |
*/
|
|
|
1197 |
public static function BITXOR($number1, $number2)
|
|
|
1198 |
{
|
|
|
1199 |
return Engineering\BitWise::BITXOR($number1, $number2);
|
|
|
1200 |
}
|
|
|
1201 |
|
|
|
1202 |
/**
|
|
|
1203 |
* BITLSHIFT.
|
|
|
1204 |
*
|
|
|
1205 |
* Returns the number value shifted left by shift_amount bits.
|
|
|
1206 |
*
|
|
|
1207 |
* Excel Function:
|
|
|
1208 |
* BITLSHIFT(number, shift_amount)
|
|
|
1209 |
*
|
|
|
1210 |
* @deprecated 1.17.0
|
|
|
1211 |
* Use the BITLSHIFT() method in the Engineering\BitWise class instead
|
|
|
1212 |
* @see Engineering\BitWise::BITLSHIFT()
|
|
|
1213 |
*
|
|
|
1214 |
* @param int $number
|
|
|
1215 |
* @param int $shiftAmount
|
|
|
1216 |
*
|
|
|
1217 |
* @return array|float|int|string
|
|
|
1218 |
*/
|
|
|
1219 |
public static function BITLSHIFT($number, $shiftAmount)
|
|
|
1220 |
{
|
|
|
1221 |
return Engineering\BitWise::BITLSHIFT($number, $shiftAmount);
|
|
|
1222 |
}
|
|
|
1223 |
|
|
|
1224 |
/**
|
|
|
1225 |
* BITRSHIFT.
|
|
|
1226 |
*
|
|
|
1227 |
* Returns the number value shifted right by shift_amount bits.
|
|
|
1228 |
*
|
|
|
1229 |
* Excel Function:
|
|
|
1230 |
* BITRSHIFT(number, shift_amount)
|
|
|
1231 |
*
|
|
|
1232 |
* @deprecated 1.17.0
|
|
|
1233 |
* Use the BITRSHIFT() method in the Engineering\BitWise class instead
|
|
|
1234 |
* @see Engineering\BitWise::BITRSHIFT()
|
|
|
1235 |
*
|
|
|
1236 |
* @param int $number
|
|
|
1237 |
* @param int $shiftAmount
|
|
|
1238 |
*
|
|
|
1239 |
* @return array|float|int|string
|
|
|
1240 |
*/
|
|
|
1241 |
public static function BITRSHIFT($number, $shiftAmount)
|
|
|
1242 |
{
|
|
|
1243 |
return Engineering\BitWise::BITRSHIFT($number, $shiftAmount);
|
|
|
1244 |
}
|
|
|
1245 |
|
|
|
1246 |
/**
|
|
|
1247 |
* ERF.
|
|
|
1248 |
*
|
|
|
1249 |
* Returns the error function integrated between the lower and upper bound arguments.
|
|
|
1250 |
*
|
|
|
1251 |
* Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments,
|
|
|
1252 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
|
|
|
1253 |
* improved, so that it can now calculate the function for both positive and negative ranges.
|
|
|
1254 |
* PhpSpreadsheet follows Excel 2010 behaviour, and accepts negative arguments.
|
|
|
1255 |
*
|
|
|
1256 |
* Excel Function:
|
|
|
1257 |
* ERF(lower[,upper])
|
|
|
1258 |
*
|
|
|
1259 |
* @deprecated 1.17.0
|
|
|
1260 |
* Use the ERF() method in the Engineering\Erf class instead
|
|
|
1261 |
* @see Engineering\Erf::ERF()
|
|
|
1262 |
*
|
|
|
1263 |
* @param float $lower lower bound for integrating ERF
|
|
|
1264 |
* @param float $upper upper bound for integrating ERF.
|
|
|
1265 |
* If omitted, ERF integrates between zero and lower_limit
|
|
|
1266 |
*
|
|
|
1267 |
* @return array|float|string
|
|
|
1268 |
*/
|
|
|
1269 |
public static function ERF($lower, $upper = null)
|
|
|
1270 |
{
|
|
|
1271 |
return Engineering\Erf::ERF($lower, $upper);
|
|
|
1272 |
}
|
|
|
1273 |
|
|
|
1274 |
/**
|
|
|
1275 |
* ERFPRECISE.
|
|
|
1276 |
*
|
|
|
1277 |
* Returns the error function integrated between the lower and upper bound arguments.
|
|
|
1278 |
*
|
|
|
1279 |
* Excel Function:
|
|
|
1280 |
* ERF.PRECISE(limit)
|
|
|
1281 |
*
|
|
|
1282 |
* @deprecated 1.17.0
|
|
|
1283 |
* Use the ERFPRECISE() method in the Engineering\Erf class instead
|
|
|
1284 |
* @see Engineering\Erf::ERFPRECISE()
|
|
|
1285 |
*
|
|
|
1286 |
* @param float $limit bound for integrating ERF
|
|
|
1287 |
*
|
|
|
1288 |
* @return array|float|string
|
|
|
1289 |
*/
|
|
|
1290 |
public static function ERFPRECISE($limit)
|
|
|
1291 |
{
|
|
|
1292 |
return Engineering\Erf::ERFPRECISE($limit);
|
|
|
1293 |
}
|
|
|
1294 |
|
|
|
1295 |
/**
|
|
|
1296 |
* ERFC.
|
|
|
1297 |
*
|
|
|
1298 |
* Returns the complementary ERF function integrated between x and infinity
|
|
|
1299 |
*
|
|
|
1300 |
* Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument,
|
|
|
1301 |
* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
|
|
|
1302 |
* improved, so that it can now calculate the function for both positive and negative x values.
|
|
|
1303 |
* PhpSpreadsheet follows Excel 2010 behaviour, and accepts nagative arguments.
|
|
|
1304 |
*
|
|
|
1305 |
* Excel Function:
|
|
|
1306 |
* ERFC(x)
|
|
|
1307 |
*
|
|
|
1308 |
* @deprecated 1.17.0
|
|
|
1309 |
* Use the ERFC() method in the Engineering\ErfC class instead
|
|
|
1310 |
* @see Engineering\ErfC::ERFC()
|
|
|
1311 |
*
|
|
|
1312 |
* @param float $x The lower bound for integrating ERFC
|
|
|
1313 |
*
|
|
|
1314 |
* @return array|float|string
|
|
|
1315 |
*/
|
|
|
1316 |
public static function ERFC($x)
|
|
|
1317 |
{
|
|
|
1318 |
return Engineering\ErfC::ERFC($x);
|
|
|
1319 |
}
|
|
|
1320 |
|
|
|
1321 |
/**
|
|
|
1322 |
* getConversionGroups
|
|
|
1323 |
* Returns a list of the different conversion groups for UOM conversions.
|
|
|
1324 |
*
|
|
|
1325 |
* @deprecated 1.16.0
|
|
|
1326 |
* Use the getConversionCategories() method in the Engineering\ConvertUOM class instead
|
|
|
1327 |
* @see Engineering\ConvertUOM::getConversionCategories()
|
|
|
1328 |
*
|
|
|
1329 |
* @return array
|
|
|
1330 |
*/
|
|
|
1331 |
public static function getConversionGroups()
|
|
|
1332 |
{
|
|
|
1333 |
return Engineering\ConvertUOM::getConversionCategories();
|
|
|
1334 |
}
|
|
|
1335 |
|
|
|
1336 |
/**
|
|
|
1337 |
* getConversionGroupUnits
|
|
|
1338 |
* Returns an array of units of measure, for a specified conversion group, or for all groups.
|
|
|
1339 |
*
|
|
|
1340 |
* @deprecated 1.16.0
|
|
|
1341 |
* Use the getConversionCategoryUnits() method in the ConvertUOM class instead
|
|
|
1342 |
* @see Engineering\ConvertUOM::getConversionCategoryUnits()
|
|
|
1343 |
*
|
|
|
1344 |
* @param null|mixed $category
|
|
|
1345 |
*
|
|
|
1346 |
* @return array
|
|
|
1347 |
*/
|
|
|
1348 |
public static function getConversionGroupUnits($category = null)
|
|
|
1349 |
{
|
|
|
1350 |
return Engineering\ConvertUOM::getConversionCategoryUnits($category);
|
|
|
1351 |
}
|
|
|
1352 |
|
|
|
1353 |
/**
|
|
|
1354 |
* getConversionGroupUnitDetails.
|
|
|
1355 |
*
|
|
|
1356 |
* @deprecated 1.16.0
|
|
|
1357 |
* Use the getConversionCategoryUnitDetails() method in the ConvertUOM class instead
|
|
|
1358 |
* @see Engineering\ConvertUOM::getConversionCategoryUnitDetails()
|
|
|
1359 |
*
|
|
|
1360 |
* @param null|mixed $category
|
|
|
1361 |
*
|
|
|
1362 |
* @return array
|
|
|
1363 |
*/
|
|
|
1364 |
public static function getConversionGroupUnitDetails($category = null)
|
|
|
1365 |
{
|
|
|
1366 |
return Engineering\ConvertUOM::getConversionCategoryUnitDetails($category);
|
|
|
1367 |
}
|
|
|
1368 |
|
|
|
1369 |
/**
|
|
|
1370 |
* getConversionMultipliers
|
|
|
1371 |
* Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM().
|
|
|
1372 |
*
|
|
|
1373 |
* @deprecated 1.16.0
|
|
|
1374 |
* Use the getConversionMultipliers() method in the ConvertUOM class instead
|
|
|
1375 |
* @see Engineering\ConvertUOM::getConversionMultipliers()
|
|
|
1376 |
*
|
|
|
1377 |
* @return mixed[]
|
|
|
1378 |
*/
|
|
|
1379 |
public static function getConversionMultipliers()
|
|
|
1380 |
{
|
|
|
1381 |
return Engineering\ConvertUOM::getConversionMultipliers();
|
|
|
1382 |
}
|
|
|
1383 |
|
|
|
1384 |
/**
|
|
|
1385 |
* getBinaryConversionMultipliers.
|
|
|
1386 |
*
|
|
|
1387 |
* Returns an array of the additional Multiplier prefixes that can be used with Information Units of Measure
|
|
|
1388 |
* in CONVERTUOM().
|
|
|
1389 |
*
|
|
|
1390 |
* @deprecated 1.16.0
|
|
|
1391 |
* Use the getBinaryConversionMultipliers() method in the ConvertUOM class instead
|
|
|
1392 |
* @see Engineering\ConvertUOM::getBinaryConversionMultipliers()
|
|
|
1393 |
*
|
|
|
1394 |
* @return mixed[]
|
|
|
1395 |
*/
|
|
|
1396 |
public static function getBinaryConversionMultipliers()
|
|
|
1397 |
{
|
|
|
1398 |
return Engineering\ConvertUOM::getBinaryConversionMultipliers();
|
|
|
1399 |
}
|
|
|
1400 |
|
|
|
1401 |
/**
|
|
|
1402 |
* CONVERTUOM.
|
|
|
1403 |
*
|
|
|
1404 |
* Converts a number from one measurement system to another.
|
|
|
1405 |
* For example, CONVERT can translate a table of distances in miles to a table of distances
|
|
|
1406 |
* in kilometers.
|
|
|
1407 |
*
|
|
|
1408 |
* Excel Function:
|
|
|
1409 |
* CONVERT(value,fromUOM,toUOM)
|
|
|
1410 |
*
|
|
|
1411 |
* @deprecated 1.16.0
|
|
|
1412 |
* Use the CONVERT() method in the ConvertUOM class instead
|
|
|
1413 |
* @see Engineering\ConvertUOM::CONVERT()
|
|
|
1414 |
*
|
|
|
1415 |
* @param float|int $value the value in fromUOM to convert
|
|
|
1416 |
* @param string $fromUOM the units for value
|
|
|
1417 |
* @param string $toUOM the units for the result
|
|
|
1418 |
*
|
|
|
1419 |
* @return array|float|string
|
|
|
1420 |
*/
|
|
|
1421 |
public static function CONVERTUOM($value, $fromUOM, $toUOM)
|
|
|
1422 |
{
|
|
|
1423 |
return Engineering\ConvertUOM::CONVERT($value, $fromUOM, $toUOM);
|
|
|
1424 |
}
|
|
|
1425 |
}
|