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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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* |
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* Excel Function: |
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* HEX2BIN(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\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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* 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. |
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 $places The number of characters to use. If places is omitted, |
347
|
|
|
* HEX2BIN uses the minimum number of characters necessary. Places |
348
|
|
|
* is useful for padding the return value with leading 0s (zeros). |
349
|
|
|
* If places is not an integer, it is truncated. |
350
|
|
|
* If places is nonnumeric, HEX2BIN returns the #VALUE! error value. |
351
|
|
|
* If places is negative, HEX2BIN returns the #NUM! error value. |
352
|
|
|
* |
353
|
|
|
* @return array|string |
354
|
|
|
*/ |
355
|
1 |
|
public static function HEXTOBIN($x, $places = null) |
356
|
|
|
{ |
357
|
1 |
|
return Engineering\ConvertHex::toBinary($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 $x The hexadecimal number (as a string) that you want to convert. This number cannot |
373
|
|
|
* contain more than 10 characters (40 bits). The most significant |
374
|
|
|
* bit of number is the sign bit. The remaining 39 bits are magnitude |
375
|
|
|
* bits. Negative numbers are represented using two's-complement |
376
|
|
|
* notation. |
377
|
|
|
* If number is not a valid hexadecimal number, HEX2DEC returns the |
378
|
|
|
* #NUM! error value. |
379
|
|
|
* |
380
|
|
|
* @return array|string |
381
|
|
|
*/ |
382
|
1 |
|
public static function HEXTODEC($x) |
383
|
|
|
{ |
384
|
1 |
|
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 $places The number of characters to use. If places is omitted, HEX2OCT |
413
|
|
|
* uses the minimum number of characters necessary. Places is |
414
|
|
|
* useful for padding the return value with leading 0s (zeros). |
415
|
|
|
* If places is not an integer, it is truncated. |
416
|
|
|
* If places is nonnumeric, HEX2OCT returns the #VALUE! error |
417
|
|
|
* value. |
418
|
|
|
* If places is negative, HEX2OCT returns the #NUM! error value. |
419
|
|
|
* |
420
|
|
|
* @return array|string |
421
|
|
|
*/ |
422
|
1 |
|
public static function HEXTOOCT($x, $places = null) |
423
|
|
|
{ |
424
|
1 |
|
return Engineering\ConvertHex::toOctal($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 $places The number of characters to use. If places is omitted, |
453
|
|
|
* OCT2BIN uses the minimum number of characters necessary. |
454
|
|
|
* Places is useful for padding the return value with |
455
|
|
|
* leading 0s (zeros). |
456
|
|
|
* If places is not an integer, it is truncated. |
457
|
|
|
* If places is nonnumeric, OCT2BIN returns the #VALUE! |
458
|
|
|
* error value. |
459
|
|
|
* If places is negative, OCT2BIN returns the #NUM! error |
460
|
|
|
* value. |
461
|
|
|
* |
462
|
|
|
* @return array|string |
463
|
|
|
*/ |
464
|
1 |
|
public static function OCTTOBIN($x, $places = null) |
465
|
|
|
{ |
466
|
1 |
|
return Engineering\ConvertOctal::toBinary($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 $x The octal number you want to convert. Number may not contain |
482
|
|
|
* more than 10 octal characters (30 bits). The most significant |
483
|
|
|
* bit of number is the sign bit. The remaining 29 bits are |
484
|
|
|
* magnitude bits. Negative numbers are represented using |
485
|
|
|
* two's-complement notation. |
486
|
|
|
* If number is not a valid octal number, OCT2DEC returns the |
487
|
|
|
* #NUM! error value. |
488
|
|
|
* |
489
|
|
|
* @return array|string |
490
|
|
|
*/ |
491
|
1 |
|
public static function OCTTODEC($x) |
492
|
|
|
{ |
493
|
1 |
|
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 $places The number of characters to use. If places is omitted, OCT2HEX |
520
|
|
|
* uses the minimum number of characters necessary. Places is useful |
521
|
|
|
* for padding the return value with leading 0s (zeros). |
522
|
|
|
* If places is not an integer, it is truncated. |
523
|
|
|
* If places is nonnumeric, OCT2HEX returns the #VALUE! error value. |
524
|
|
|
* If places is negative, OCT2HEX returns the #NUM! error value. |
525
|
|
|
* |
526
|
|
|
* @return array|string |
527
|
|
|
*/ |
528
|
1 |
|
public static function OCTTOHEX($x, $places = null) |
529
|
|
|
{ |
530
|
1 |
|
return Engineering\ConvertOctal::toHex($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 $suffix The suffix for the imaginary component of the complex number. |
548
|
|
|
* If omitted, the suffix is assumed to be "i". |
549
|
|
|
* |
550
|
|
|
* @return array|string |
551
|
|
|
*/ |
552
|
1 |
|
public static function COMPLEX($realNumber = 0.0, $imaginary = 0.0, $suffix = 'i') |
553
|
|
|
{ |
554
|
1 |
|
return Engineering\Complex::COMPLEX($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 $complexNumber the complex number for which you want the imaginary |
570
|
|
|
* coefficient |
571
|
|
|
* |
572
|
|
|
* @return array|float|string |
573
|
|
|
*/ |
574
|
1 |
|
public static function IMAGINARY($complexNumber) |
575
|
|
|
{ |
576
|
1 |
|
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 $complexNumber the complex number for which you want the real coefficient |
592
|
|
|
* |
593
|
|
|
* @return array|float|string |
594
|
|
|
*/ |
595
|
1 |
|
public static function IMREAL($complexNumber) |
596
|
|
|
{ |
597
|
1 |
|
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 $complexNumber the complex number for which you want the absolute value |
613
|
|
|
* |
614
|
|
|
* @return array|float|string |
615
|
|
|
*/ |
616
|
1 |
|
public static function IMABS($complexNumber) |
617
|
|
|
{ |
618
|
1 |
|
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 $complexNumber the complex number for which you want the argument theta |
635
|
|
|
* |
636
|
|
|
* @return array|float|string |
637
|
|
|
*/ |
638
|
1 |
|
public static function IMARGUMENT($complexNumber) |
639
|
|
|
{ |
640
|
1 |
|
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 $complexNumber the complex number for which you want the conjugate |
656
|
|
|
* |
657
|
|
|
* @return array|string |
658
|
|
|
*/ |
659
|
1 |
|
public static function IMCONJUGATE($complexNumber) |
660
|
|
|
{ |
661
|
1 |
|
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 $complexNumber the complex number for which you want the cosine |
677
|
|
|
* |
678
|
|
|
* @return array|float|string |
679
|
|
|
*/ |
680
|
1 |
|
public static function IMCOS($complexNumber) |
681
|
|
|
{ |
682
|
1 |
|
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 $complexNumber the complex number for which you want the hyperbolic cosine |
698
|
|
|
* |
699
|
|
|
* @return array|float|string |
700
|
|
|
*/ |
701
|
1 |
|
public static function IMCOSH($complexNumber) |
702
|
|
|
{ |
703
|
1 |
|
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 $complexNumber the complex number for which you want the cotangent |
719
|
|
|
* |
720
|
|
|
* @return array|float|string |
721
|
|
|
*/ |
722
|
1 |
|
public static function IMCOT($complexNumber) |
723
|
|
|
{ |
724
|
1 |
|
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 $complexNumber the complex number for which you want the cosecant |
740
|
|
|
* |
741
|
|
|
* @return array|float|string |
742
|
|
|
*/ |
743
|
1 |
|
public static function IMCSC($complexNumber) |
744
|
|
|
{ |
745
|
1 |
|
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 $complexNumber the complex number for which you want the hyperbolic cosecant |
761
|
|
|
* |
762
|
|
|
* @return array|float|string |
763
|
|
|
*/ |
764
|
1 |
|
public static function IMCSCH($complexNumber) |
765
|
|
|
{ |
766
|
1 |
|
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 $complexNumber the complex number for which you want the sine |
782
|
|
|
* |
783
|
|
|
* @return array|float|string |
784
|
|
|
*/ |
785
|
1 |
|
public static function IMSIN($complexNumber) |
786
|
|
|
{ |
787
|
1 |
|
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 $complexNumber the complex number for which you want the hyperbolic sine |
803
|
|
|
* |
804
|
|
|
* @return array|float|string |
805
|
|
|
*/ |
806
|
1 |
|
public static function IMSINH($complexNumber) |
807
|
|
|
{ |
808
|
1 |
|
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 $complexNumber the complex number for which you want the secant |
824
|
|
|
* |
825
|
|
|
* @return array|float|string |
826
|
|
|
*/ |
827
|
1 |
|
public static function IMSEC($complexNumber) |
828
|
|
|
{ |
829
|
1 |
|
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 $complexNumber the complex number for which you want the hyperbolic secant |
845
|
|
|
* |
846
|
|
|
* @return array|float|string |
847
|
|
|
*/ |
848
|
1 |
|
public static function IMSECH($complexNumber) |
849
|
|
|
{ |
850
|
1 |
|
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 $complexNumber the complex number for which you want the tangent |
866
|
|
|
* |
867
|
|
|
* @return array|float|string |
868
|
|
|
*/ |
869
|
1 |
|
public static function IMTAN($complexNumber) |
870
|
|
|
{ |
871
|
1 |
|
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 $complexNumber the complex number for which you want the square root |
887
|
|
|
* |
888
|
|
|
* @return array|string |
889
|
|
|
*/ |
890
|
1 |
|
public static function IMSQRT($complexNumber) |
891
|
|
|
{ |
892
|
1 |
|
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 $complexNumber the complex number for which you want the natural logarithm |
908
|
|
|
* |
909
|
|
|
* @return array|string |
910
|
|
|
*/ |
911
|
1 |
|
public static function IMLN($complexNumber) |
912
|
|
|
{ |
913
|
1 |
|
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 $complexNumber the complex number for which you want the common logarithm |
929
|
|
|
* |
930
|
|
|
* @return array|string |
931
|
|
|
*/ |
932
|
1 |
|
public static function IMLOG10($complexNumber) |
933
|
|
|
{ |
934
|
1 |
|
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 $complexNumber the complex number for which you want the base-2 logarithm |
950
|
|
|
* |
951
|
|
|
* @return array|string |
952
|
|
|
*/ |
953
|
1 |
|
public static function IMLOG2($complexNumber) |
954
|
|
|
{ |
955
|
1 |
|
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 $complexNumber the complex number for which you want the exponential |
971
|
|
|
* |
972
|
|
|
* @return array|string |
973
|
|
|
*/ |
974
|
1 |
|
public static function IMEXP($complexNumber) |
975
|
|
|
{ |
976
|
1 |
|
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 $realNumber the power to which you want to raise the complex number |
993
|
|
|
* |
994
|
|
|
* @return array|string |
995
|
|
|
*/ |
996
|
1 |
|
public static function IMPOWER($complexNumber, $realNumber) |
997
|
|
|
{ |
998
|
1 |
|
return ComplexFunctions::IMPOWER($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 $complexDivisor the complex denominator or divisor |
1015
|
|
|
* |
1016
|
|
|
* @return array|string |
1017
|
|
|
*/ |
1018
|
1 |
|
public static function IMDIV($complexDividend, $complexDivisor) |
1019
|
|
|
{ |
1020
|
1 |
|
return ComplexOperations::IMDIV($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 $complexNumber2 the complex number to subtract from complexNumber1 |
1037
|
|
|
* |
1038
|
|
|
* @return array|string |
1039
|
|
|
*/ |
1040
|
1 |
|
public static function IMSUB($complexNumber1, $complexNumber2) |
1041
|
|
|
{ |
1042
|
1 |
|
return ComplexOperations::IMSUB($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
|
1 |
|
public static function IMSUM(...$complexNumbers) |
1062
|
|
|
{ |
1063
|
1 |
|
return ComplexOperations::IMSUM(...$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 ...$complexNumbers Series of complex numbers to multiply |
1079
|
|
|
* |
1080
|
|
|
* @return string |
1081
|
|
|
*/ |
1082
|
1 |
|
public static function IMPRODUCT(...$complexNumbers) |
1083
|
|
|
{ |
1084
|
1 |
|
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 $b The second number. If omitted, b is assumed to be zero. |
1104
|
|
|
* |
1105
|
|
|
* @return array|int|string (string in the event of an error) |
1106
|
|
|
*/ |
1107
|
1 |
|
public static function DELTA($a, $b = 0) |
1108
|
|
|
{ |
1109
|
1 |
|
return Engineering\Compare::DELTA($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 $step The threshold value. If you omit a value for step, GESTEP uses zero. |
1128
|
|
|
* |
1129
|
|
|
* @return array|int|string (string in the event of an error) |
1130
|
|
|
*/ |
1131
|
1 |
|
public static function GESTEP($number, $step = 0) |
1132
|
|
|
{ |
1133
|
1 |
|
return Engineering\Compare::GESTEP($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 $number2 |
1150
|
|
|
* |
1151
|
|
|
* @return array|int|string |
1152
|
|
|
*/ |
1153
|
1 |
|
public static function BITAND($number1, $number2) |
1154
|
|
|
{ |
1155
|
1 |
|
return Engineering\BitWise::BITAND($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 $number2 |
1172
|
|
|
* |
1173
|
|
|
* @return array|int|string |
1174
|
|
|
*/ |
1175
|
1 |
|
public static function BITOR($number1, $number2) |
1176
|
|
|
{ |
1177
|
1 |
|
return Engineering\BitWise::BITOR($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 $number2 |
1194
|
|
|
* |
1195
|
|
|
* @return array|int|string |
1196
|
|
|
*/ |
1197
|
1 |
|
public static function BITXOR($number1, $number2) |
1198
|
|
|
{ |
1199
|
1 |
|
return Engineering\BitWise::BITXOR($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 $shiftAmount |
1216
|
|
|
* |
1217
|
|
|
* @return array|float|int|string |
1218
|
|
|
*/ |
1219
|
1 |
|
public static function BITLSHIFT($number, $shiftAmount) |
1220
|
|
|
{ |
1221
|
1 |
|
return Engineering\BitWise::BITLSHIFT($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 $shiftAmount |
1238
|
|
|
* |
1239
|
|
|
* @return array|float|int|string |
1240
|
|
|
*/ |
1241
|
1 |
|
public static function BITRSHIFT($number, $shiftAmount) |
1242
|
|
|
{ |
1243
|
1 |
|
return Engineering\BitWise::BITRSHIFT($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 $upper upper bound for integrating ERF. |
1265
|
|
|
* If omitted, ERF integrates between zero and lower_limit |
1266
|
|
|
* |
1267
|
|
|
* @return array|float|string |
1268
|
|
|
*/ |
1269
|
1 |
|
public static function ERF($lower, $upper = null) |
1270
|
|
|
{ |
1271
|
1 |
|
return Engineering\Erf::ERF($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 $limit bound for integrating ERF |
1287
|
|
|
* |
1288
|
|
|
* @return array|float|string |
1289
|
|
|
*/ |
1290
|
1 |
|
public static function ERFPRECISE($limit) |
1291
|
|
|
{ |
1292
|
1 |
|
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 $x The lower bound for integrating ERFC |
1313
|
|
|
* |
1314
|
|
|
* @return array|float|string |
1315
|
|
|
*/ |
1316
|
1 |
|
public static function ERFC($x) |
1317
|
|
|
{ |
1318
|
1 |
|
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
|
1 |
|
public static function getConversionGroups() |
1332
|
|
|
{ |
1333
|
1 |
|
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 $category |
1345
|
|
|
* |
1346
|
|
|
* @return array |
1347
|
|
|
*/ |
1348
|
1 |
|
public static function getConversionGroupUnits($category = null) |
1349
|
|
|
{ |
1350
|
1 |
|
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 $category |
1361
|
|
|
* |
1362
|
|
|
* @return array |
1363
|
|
|
*/ |
1364
|
1 |
|
public static function getConversionGroupUnitDetails($category = null) |
1365
|
|
|
{ |
1366
|
1 |
|
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
|
1 |
|
public static function getConversionMultipliers() |
1380
|
|
|
{ |
1381
|
1 |
|
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
|
1 |
|
public static function getBinaryConversionMultipliers() |
1397
|
|
|
{ |
1398
|
1 |
|
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 $toUOM the units for the result |
1418
|
|
|
* |
1419
|
|
|
* @return array|float|string |
1420
|
|
|
*/ |
1421
|
1 |
|
public static function CONVERTUOM($value, $fromUOM, $toUOM) |
1422
|
|
|
{ |
1423
|
1 |
|
return Engineering\ConvertUOM::CONVERT($value, $fromUOM, $toUOM); |
1424
|
|
|
} |
1425
|
|
|
} |
1426
|
|
|
|