ILIAS  release_5-3 Revision v5.3.23-19-g915713cf615
PHPExcel_Calculation_Engineering Class Reference
+ Collaboration diagram for PHPExcel_Calculation_Engineering:

Static Public Member Functions

static _parseComplex ($complexNumber)
 _parseComplex More...
 
static BESSELI ($x, $ord)
 
static BESSELJ ($x, $ord)
 
static BESSELK ($x, $ord)
 
static BESSELY ($x, $ord)
 
static BINTODEC ($x)
 
static BINTOHEX ($x, $places=NULL)
 
static BINTOOCT ($x, $places=NULL)
 
static DECTOBIN ($x, $places=NULL)
 
static DECTOHEX ($x, $places=null)
 
static DECTOOCT ($x, $places=null)
 
static HEXTOBIN ($x, $places=null)
 
static HEXTODEC ($x)
 
static HEXTOOCT ($x, $places=null)
 
static OCTTOBIN ($x, $places=null)
 
static OCTTODEC ($x)
 
static OCTTOHEX ($x, $places=null)
 
static COMPLEX ($realNumber=0.0, $imaginary=0.0, $suffix='i')
 
static IMAGINARY ($complexNumber)
 
static IMREAL ($complexNumber)
 
static IMABS ($complexNumber)
 IMABS. More...
 
static IMARGUMENT ($complexNumber)
 IMARGUMENT. More...
 
static IMCONJUGATE ($complexNumber)
 IMCONJUGATE. More...
 
static IMCOS ($complexNumber)
 IMCOS. More...
 
static IMSIN ($complexNumber)
 IMSIN. More...
 
static IMSQRT ($complexNumber)
 IMSQRT. More...
 
static IMLN ($complexNumber)
 IMLN. More...
 
static IMLOG10 ($complexNumber)
 IMLOG10. More...
 
static IMLOG2 ($complexNumber)
 IMLOG2. More...
 
static IMEXP ($complexNumber)
 IMEXP. More...
 
static IMPOWER ($complexNumber, $realNumber)
 IMPOWER. More...
 
static IMDIV ($complexDividend, $complexDivisor)
 IMDIV. More...
 
static IMSUB ($complexNumber1, $complexNumber2)
 IMSUB. More...
 
static IMSUM ()
 IMSUM. More...
 
static IMPRODUCT ()
 IMPRODUCT. More...
 
static DELTA ($a, $b=0)
 DELTA. More...
 
static GESTEP ($number, $step=0)
 GESTEP. More...
 
static _erfVal ($x)
 
static ERF ($lower, $upper=NULL)
 ERF. More...
 
static ERFC ($x)
 ERFC. More...
 
static getConversionGroups ()
 getConversionGroups Returns a list of the different conversion groups for UOM conversions More...
 
static getConversionGroupUnits ($group=NULL)
 getConversionGroupUnits Returns an array of units of measure, for a specified conversion group, or for all groups More...
 
static getConversionGroupUnitDetails ($group=NULL)
 getConversionGroupUnitDetails More...
 
static getConversionMultipliers ()
 getConversionMultipliers Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM() More...
 
static CONVERTUOM ($value, $fromUOM, $toUOM)
 CONVERTUOM. More...
 

Static Private Member Functions

static _cleanComplex ($complexNumber)
 Cleans the leading characters in a complex number string. More...
 
static _nbrConversionFormat ($xVal, $places)
 Formats a number base string value with leading zeroes. More...
 
static _Besselk0 ($fNum)
 
static _Besselk1 ($fNum)
 
static _Bessely0 ($fNum)
 
static _Bessely1 ($fNum)
 
static _erfcVal ($x)
 

Static Private Attributes

static $_conversionUnits
 
static $_conversionMultipliers
 
static $_unitConversions
 
static $_two_sqrtpi = 1.128379167095512574
 
static $_one_sqrtpi = 0.564189583547756287
 

Detailed Description

Definition at line 50 of file Engineering.php.

Member Function Documentation

◆ _Besselk0()

static PHPExcel_Calculation_Engineering::_Besselk0 (   $fNum)
staticprivate

Definition at line 884 of file Engineering.php.

References $y.

884  {
885  if ($fNum <= 2) {
886  $fNum2 = $fNum * 0.5;
887  $y = ($fNum2 * $fNum2);
888  $fRet = -log($fNum2) * self::BESSELI($fNum, 0) +
889  (-0.57721566 + $y * (0.42278420 + $y * (0.23069756 + $y * (0.3488590e-1 + $y * (0.262698e-2 + $y *
890  (0.10750e-3 + $y * 0.74e-5))))));
891  } else {
892  $y = 2 / $fNum;
893  $fRet = exp(-$fNum) / sqrt($fNum) *
894  (1.25331414 + $y * (-0.7832358e-1 + $y * (0.2189568e-1 + $y * (-0.1062446e-1 + $y *
895  (0.587872e-2 + $y * (-0.251540e-2 + $y * 0.53208e-3))))));
896  }
897  return $fRet;
898  } // function _Besselk0()
$y
Definition: example_007.php:83

◆ _Besselk1()

static PHPExcel_Calculation_Engineering::_Besselk1 (   $fNum)
staticprivate

Definition at line 901 of file Engineering.php.

References $y.

901  {
902  if ($fNum <= 2) {
903  $fNum2 = $fNum * 0.5;
904  $y = ($fNum2 * $fNum2);
905  $fRet = log($fNum2) * self::BESSELI($fNum, 1) +
906  (1 + $y * (0.15443144 + $y * (-0.67278579 + $y * (-0.18156897 + $y * (-0.1919402e-1 + $y *
907  (-0.110404e-2 + $y * (-0.4686e-4))))))) / $fNum;
908  } else {
909  $y = 2 / $fNum;
910  $fRet = exp(-$fNum) / sqrt($fNum) *
911  (1.25331414 + $y * (0.23498619 + $y * (-0.3655620e-1 + $y * (0.1504268e-1 + $y * (-0.780353e-2 + $y *
912  (0.325614e-2 + $y * (-0.68245e-3)))))));
913  }
914  return $fRet;
915  } // function _Besselk1()
$y
Definition: example_007.php:83

◆ _Bessely0()

static PHPExcel_Calculation_Engineering::_Bessely0 (   $fNum)
staticprivate

Definition at line 966 of file Engineering.php.

References $y.

966  {
967  if ($fNum < 8.0) {
968  $y = ($fNum * $fNum);
969  $f1 = -2957821389.0 + $y * (7062834065.0 + $y * (-512359803.6 + $y * (10879881.29 + $y * (-86327.92757 + $y * 228.4622733))));
970  $f2 = 40076544269.0 + $y * (745249964.8 + $y * (7189466.438 + $y * (47447.26470 + $y * (226.1030244 + $y))));
971  $fRet = $f1 / $f2 + 0.636619772 * self::BESSELJ($fNum, 0) * log($fNum);
972  } else {
973  $z = 8.0 / $fNum;
974  $y = ($z * $z);
975  $xx = $fNum - 0.785398164;
976  $f1 = 1 + $y * (-0.1098628627e-2 + $y * (0.2734510407e-4 + $y * (-0.2073370639e-5 + $y * 0.2093887211e-6)));
977  $f2 = -0.1562499995e-1 + $y * (0.1430488765e-3 + $y * (-0.6911147651e-5 + $y * (0.7621095161e-6 + $y * (-0.934945152e-7))));
978  $fRet = sqrt(0.636619772 / $fNum) * (sin($xx) * $f1 + $z * cos($xx) * $f2);
979  }
980  return $fRet;
981  } // function _Bessely0()
$y
Definition: example_007.php:83

◆ _Bessely1()

static PHPExcel_Calculation_Engineering::_Bessely1 (   $fNum)
staticprivate

Definition at line 984 of file Engineering.php.

References $y.

984  {
985  if ($fNum < 8.0) {
986  $y = ($fNum * $fNum);
987  $f1 = $fNum * (-0.4900604943e13 + $y * (0.1275274390e13 + $y * (-0.5153438139e11 + $y * (0.7349264551e9 + $y *
988  (-0.4237922726e7 + $y * 0.8511937935e4)))));
989  $f2 = 0.2499580570e14 + $y * (0.4244419664e12 + $y * (0.3733650367e10 + $y * (0.2245904002e8 + $y *
990  (0.1020426050e6 + $y * (0.3549632885e3 + $y)))));
991  $fRet = $f1 / $f2 + 0.636619772 * ( self::BESSELJ($fNum, 1) * log($fNum) - 1 / $fNum);
992  } else {
993  $fRet = sqrt(0.636619772 / $fNum) * sin($fNum - 2.356194491);
994  }
995  return $fRet;
996  } // function _Bessely1()
$y
Definition: example_007.php:83

◆ _cleanComplex()

static PHPExcel_Calculation_Engineering::_cleanComplex (   $complexNumber)
staticprivate

Cleans the leading characters in a complex number string.

Parameters
string$complexNumberThe complex number to clean
Returns
string The "cleaned" complex number

Definition at line 749 of file Engineering.php.

749  {
750  if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
751  if ($complexNumber{0} == '0') $complexNumber = substr($complexNumber,1);
752  if ($complexNumber{0} == '.') $complexNumber = '0'.$complexNumber;
753  if ($complexNumber{0} == '+') $complexNumber = substr($complexNumber,1);
754  return $complexNumber;
755  }

◆ _erfcVal()

static PHPExcel_Calculation_Engineering::_erfcVal (   $x)
staticprivate

Definition at line 2289 of file Engineering.php.

References $d, $n, $t, $x, and PRECISION.

2289  {
2290  if (abs($x) < 2.2) {
2291  return 1 - self::_erfVal($x);
2292  }
2293  if ($x < 0) {
2294  return 2 - self::ERFC(-$x);
2295  }
2296  $a = $n = 1;
2297  $b = $c = $x;
2298  $d = ($x * $x) + 0.5;
2299  $q1 = $q2 = $b / $d;
2300  $t = 0;
2301  do {
2302  $t = $a * $n + $b * $x;
2303  $a = $b;
2304  $b = $t;
2305  $t = $c * $n + $d * $x;
2306  $c = $d;
2307  $d = $t;
2308  $n += 0.5;
2309  $q1 = $q2;
2310  $q2 = $b / $d;
2311  } while ((abs($q1 - $q2) / $q2) > PRECISION);
2312  return self::$_one_sqrtpi * exp(-$x * $x) * $q2;
2313  } // function _erfcVal()
$x
Definition: example_009.php:98
const PRECISION
PRECISION.
Definition: Functions.php:49
$n
Definition: RandomTest.php:85
for($i=6; $i< 13; $i++) for($i=1; $i< 13; $i++) $d
Definition: date.php:296

◆ _erfVal()

static PHPExcel_Calculation_Engineering::_erfVal (   $x)
static

Definition at line 2228 of file Engineering.php.

References $x, and PRECISION.

Referenced by PHPExcel_Calculation_Statistical\NORMDIST().

2228  {
2229  if (abs($x) > 2.2) {
2230  return 1 - self::_erfcVal($x);
2231  }
2232  $sum = $term = $x;
2233  $xsqr = ($x * $x);
2234  $j = 1;
2235  do {
2236  $term *= $xsqr / $j;
2237  $sum -= $term / (2 * $j + 1);
2238  ++$j;
2239  $term *= $xsqr / $j;
2240  $sum += $term / (2 * $j + 1);
2241  ++$j;
2242  if ($sum == 0.0) {
2243  break;
2244  }
2245  } while (abs($term / $sum) > PRECISION);
2246  return self::$_two_sqrtpi * $sum;
2247  } // function _erfVal()
$x
Definition: example_009.php:98
const PRECISION
PRECISION.
Definition: Functions.php:49
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◆ _nbrConversionFormat()

static PHPExcel_Calculation_Engineering::_nbrConversionFormat (   $xVal,
  $places 
)
staticprivate

Formats a number base string value with leading zeroes.

Parameters
string$xValThe "number" to pad
integer$placesThe length that we want to pad this value
Returns
string The padded "number"

Definition at line 764 of file Engineering.php.

References PHPExcel_Calculation_Functions\NaN().

764  {
765  if (!is_null($places)) {
766  if (strlen($xVal) <= $places) {
767  return substr(str_pad($xVal, $places, '0', STR_PAD_LEFT), -10);
768  } else {
770  }
771  }
772 
773  return substr($xVal, -10);
774  } // function _nbrConversionFormat()
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◆ _parseComplex()

static PHPExcel_Calculation_Engineering::_parseComplex (   $complexNumber)
static

_parseComplex

Parses a complex number into its real and imaginary parts, and an I or J suffix

Parameters
string$complexNumberThe complex number
Returns
string[] Indexed on "real", "imaginary" and "suffix"

Definition at line 696 of file Engineering.php.

References array, and string.

696  {
697  $workString = (string) $complexNumber;
698 
699  $realNumber = $imaginary = 0;
700  // Extract the suffix, if there is one
701  $suffix = substr($workString,-1);
702  if (!is_numeric($suffix)) {
703  $workString = substr($workString,0,-1);
704  } else {
705  $suffix = '';
706  }
707 
708  // Split the input into its Real and Imaginary components
709  $leadingSign = 0;
710  if (strlen($workString) > 0) {
711  $leadingSign = (($workString{0} == '+') || ($workString{0} == '-')) ? 1 : 0;
712  }
713  $power = '';
714  $realNumber = strtok($workString, '+-');
715  if (strtoupper(substr($realNumber,-1)) == 'E') {
716  $power = strtok('+-');
717  ++$leadingSign;
718  }
719 
720  $realNumber = substr($workString,0,strlen($realNumber)+strlen($power)+$leadingSign);
721 
722  if ($suffix != '') {
723  $imaginary = substr($workString,strlen($realNumber));
724 
725  if (($imaginary == '') && (($realNumber == '') || ($realNumber == '+') || ($realNumber == '-'))) {
726  $imaginary = $realNumber.'1';
727  $realNumber = '0';
728  } else if ($imaginary == '') {
729  $imaginary = $realNumber;
730  $realNumber = '0';
731  } elseif (($imaginary == '+') || ($imaginary == '-')) {
732  $imaginary .= '1';
733  }
734  }
735 
736  return array( 'real' => $realNumber,
737  'imaginary' => $imaginary,
738  'suffix' => $suffix
739  );
740  } // function _parseComplex()
Add rich text string
Create styles array
The data for the language used.

◆ BESSELI()

static PHPExcel_Calculation_Engineering::BESSELI (   $x,
  $ord 
)
static

Definition at line 796 of file Engineering.php.

References $x, e(), PHPExcel_Calculation_MathTrig\FACT(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

796  {
798  $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
799 
800  if ((is_numeric($x)) && (is_numeric($ord))) {
801  $ord = floor($ord);
802  if ($ord < 0) {
804  }
805 
806  if (abs($x) <= 30) {
807  $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
808  $ordK = 1;
809  $fSqrX = ($x * $x) / 4;
810  do {
811  $fTerm *= $fSqrX;
812  $fTerm /= ($ordK * ($ordK + $ord));
813  $fResult += $fTerm;
814  } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
815  } else {
816  $f_2_PI = 2 * M_PI;
817 
818  $fXAbs = abs($x);
819  $fResult = exp($fXAbs) / sqrt($f_2_PI * $fXAbs);
820  if (($ord & 1) && ($x < 0)) {
821  $fResult = -$fResult;
822  }
823  }
824  return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
825  }
827  } // function BESSELI()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
e($cmd)
Definition: flush.php:14
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◆ BESSELJ()

static PHPExcel_Calculation_Engineering::BESSELJ (   $x,
  $ord 
)
static

Definition at line 848 of file Engineering.php.

References $x, e(), PHPExcel_Calculation_MathTrig\FACT(), PHPExcel_Calculation_Functions\flattenSingleValue(), M_2DIVPI, PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

848  {
850  $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
851 
852  if ((is_numeric($x)) && (is_numeric($ord))) {
853  $ord = floor($ord);
854  if ($ord < 0) {
856  }
857 
858  $fResult = 0;
859  if (abs($x) <= 30) {
860  $fResult = $fTerm = pow($x / 2, $ord) / PHPExcel_Calculation_MathTrig::FACT($ord);
861  $ordK = 1;
862  $fSqrX = ($x * $x) / -4;
863  do {
864  $fTerm *= $fSqrX;
865  $fTerm /= ($ordK * ($ordK + $ord));
866  $fResult += $fTerm;
867  } while ((abs($fTerm) > 1e-12) && (++$ordK < 100));
868  } else {
869  $f_PI_DIV_2 = M_PI / 2;
870  $f_PI_DIV_4 = M_PI / 4;
871 
872  $fXAbs = abs($x);
873  $fResult = sqrt(M_2DIVPI / $fXAbs) * cos($fXAbs - $ord * $f_PI_DIV_2 - $f_PI_DIV_4);
874  if (($ord & 1) && ($x < 0)) {
875  $fResult = -$fResult;
876  }
877  }
878  return (is_nan($fResult)) ? PHPExcel_Calculation_Functions::NaN() : $fResult;
879  }
881  } // function BESSELJ()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
e($cmd)
Definition: flush.php:14
const M_2DIVPI
2 / PI
Definition: Functions.php:43
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◆ BESSELK()

static PHPExcel_Calculation_Engineering::BESSELK (   $x,
  $ord 
)
static

Definition at line 937 of file Engineering.php.

References $n, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

937  {
939  $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
940 
941  if ((is_numeric($x)) && (is_numeric($ord))) {
942  if (($ord < 0) || ($x == 0.0)) {
944  }
945 
946  switch(floor($ord)) {
947  case 0 : return self::_Besselk0($x);
948  break;
949  case 1 : return self::_Besselk1($x);
950  break;
951  default : $fTox = 2 / $x;
952  $fBkm = self::_Besselk0($x);
953  $fBk = self::_Besselk1($x);
954  for ($n = 1; $n < $ord; ++$n) {
955  $fBkp = $fBkm + $n * $fTox * $fBk;
956  $fBkm = $fBk;
957  $fBk = $fBkp;
958  }
959  }
960  return (is_nan($fBk)) ? PHPExcel_Calculation_Functions::NaN() : $fBk;
961  }
963  } // function BESSELK()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$n
Definition: RandomTest.php:85
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◆ BESSELY()

static PHPExcel_Calculation_Engineering::BESSELY (   $x,
  $ord 
)
static

Definition at line 1017 of file Engineering.php.

References $n, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

1017  {
1019  $ord = (is_null($ord)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($ord);
1020 
1021  if ((is_numeric($x)) && (is_numeric($ord))) {
1022  if (($ord < 0) || ($x == 0.0)) {
1024  }
1025 
1026  switch(floor($ord)) {
1027  case 0 : return self::_Bessely0($x);
1028  break;
1029  case 1 : return self::_Bessely1($x);
1030  break;
1031  default: $fTox = 2 / $x;
1032  $fBym = self::_Bessely0($x);
1033  $fBy = self::_Bessely1($x);
1034  for ($n = 1; $n < $ord; ++$n) {
1035  $fByp = $n * $fTox * $fBy - $fBym;
1036  $fBym = $fBy;
1037  $fBy = $fByp;
1038  }
1039  }
1040  return (is_nan($fBy)) ? PHPExcel_Calculation_Functions::NaN() : $fBy;
1041  }
1043  } // function BESSELY()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$n
Definition: RandomTest.php:85
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◆ BINTODEC()

static PHPExcel_Calculation_Engineering::BINTODEC (   $x)
static

Definition at line 1064 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1064  {
1066 
1067  if (is_bool($x)) {
1069  $x = (int) $x;
1070  } else {
1072  }
1073  }
1075  $x = floor($x);
1076  }
1077  $x = (string) $x;
1078  if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1080  }
1081  if (strlen($x) > 10) {
1083  } elseif (strlen($x) == 10) {
1084  // Two's Complement
1085  $x = substr($x,-9);
1086  return '-'.(512-bindec($x));
1087  }
1088  return bindec($x);
1089  } // function BINTODEC()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ BINTOHEX()

static PHPExcel_Calculation_Engineering::BINTOHEX (   $x,
  $places = NULL 
)
static

Definition at line 1116 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1116  {
1119 
1120  if (is_bool($x)) {
1122  $x = (int) $x;
1123  } else {
1125  }
1126  }
1128  $x = floor($x);
1129  }
1130  $x = (string) $x;
1131  if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1133  }
1134  if (strlen($x) > 10) {
1136  } elseif (strlen($x) == 10) {
1137  // Two's Complement
1138  return str_repeat('F',8).substr(strtoupper(dechex(bindec(substr($x,-9)))),-2);
1139  }
1140  $hexVal = (string) strtoupper(dechex(bindec($x)));
1141 
1142  return self::_nbrConversionFormat($hexVal,$places);
1143  } // function BINTOHEX()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ BINTOOCT()

static PHPExcel_Calculation_Engineering::BINTOOCT (   $x,
  $places = NULL 
)
static

Definition at line 1170 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1170  {
1173 
1174  if (is_bool($x)) {
1176  $x = (int) $x;
1177  } else {
1179  }
1180  }
1182  $x = floor($x);
1183  }
1184  $x = (string) $x;
1185  if (strlen($x) > preg_match_all('/[01]/',$x,$out)) {
1187  }
1188  if (strlen($x) > 10) {
1190  } elseif (strlen($x) == 10) {
1191  // Two's Complement
1192  return str_repeat('7',7).substr(strtoupper(decoct(bindec(substr($x,-9)))),-3);
1193  }
1194  $octVal = (string) decoct(bindec($x));
1195 
1196  return self::_nbrConversionFormat($octVal,$places);
1197  } // function BINTOOCT()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ COMPLEX()

static PHPExcel_Calculation_Engineering::COMPLEX (   $realNumber = 0.0,
  $imaginary = 0.0,
  $suffix = 'i' 
)
static

Definition at line 1640 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue(), string, and PHPExcel_Calculation_Functions\VALUE().

1640  {
1641  $realNumber = (is_null($realNumber)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
1642  $imaginary = (is_null($imaginary)) ? 0.0 : PHPExcel_Calculation_Functions::flattenSingleValue($imaginary);
1643  $suffix = (is_null($suffix)) ? 'i' : PHPExcel_Calculation_Functions::flattenSingleValue($suffix);
1644 
1645  if (((is_numeric($realNumber)) && (is_numeric($imaginary))) &&
1646  (($suffix == 'i') || ($suffix == 'j') || ($suffix == ''))) {
1647  $realNumber = (float) $realNumber;
1648  $imaginary = (float) $imaginary;
1649 
1650  if ($suffix == '') $suffix = 'i';
1651  if ($realNumber == 0.0) {
1652  if ($imaginary == 0.0) {
1653  return (string) '0';
1654  } elseif ($imaginary == 1.0) {
1655  return (string) $suffix;
1656  } elseif ($imaginary == -1.0) {
1657  return (string) '-'.$suffix;
1658  }
1659  return (string) $imaginary.$suffix;
1660  } elseif ($imaginary == 0.0) {
1661  return (string) $realNumber;
1662  } elseif ($imaginary == 1.0) {
1663  return (string) $realNumber.'+'.$suffix;
1664  } elseif ($imaginary == -1.0) {
1665  return (string) $realNumber.'-'.$suffix;
1666  }
1667  if ($imaginary > 0) { $imaginary = (string) '+'.$imaginary; }
1668  return (string) $realNumber.$imaginary.$suffix;
1669  }
1670 
1672  } // function COMPLEX()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ CONVERTUOM()

static PHPExcel_Calculation_Engineering::CONVERTUOM (   $value,
  $fromUOM,
  $toUOM 
)
static

CONVERTUOM.

Converts a number from one measurement system to another. For example, CONVERT can translate a table of distances in miles to a table of distances in kilometers.

Excel Function: CONVERT(value,fromUOM,toUOM)

Parameters
float$valueThe value in fromUOM to convert.
string$fromUOMThe units for value.
string$toUOMThe units for the result.
Returns
float

Definition at line 2421 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NA(), and PHPExcel_Calculation_Functions\VALUE().

2421  {
2425 
2426  if (!is_numeric($value)) {
2428  }
2429  $fromMultiplier = 1.0;
2430  if (isset(self::$_conversionUnits[$fromUOM])) {
2431  $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
2432  } else {
2433  $fromMultiplier = substr($fromUOM,0,1);
2434  $fromUOM = substr($fromUOM,1);
2435  if (isset(self::$_conversionMultipliers[$fromMultiplier])) {
2436  $fromMultiplier = self::$_conversionMultipliers[$fromMultiplier]['multiplier'];
2437  } else {
2439  }
2440  if ((isset(self::$_conversionUnits[$fromUOM])) && (self::$_conversionUnits[$fromUOM]['AllowPrefix'])) {
2441  $unitGroup1 = self::$_conversionUnits[$fromUOM]['Group'];
2442  } else {
2444  }
2445  }
2446  $value *= $fromMultiplier;
2447 
2448  $toMultiplier = 1.0;
2449  if (isset(self::$_conversionUnits[$toUOM])) {
2450  $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
2451  } else {
2452  $toMultiplier = substr($toUOM,0,1);
2453  $toUOM = substr($toUOM,1);
2454  if (isset(self::$_conversionMultipliers[$toMultiplier])) {
2455  $toMultiplier = self::$_conversionMultipliers[$toMultiplier]['multiplier'];
2456  } else {
2458  }
2459  if ((isset(self::$_conversionUnits[$toUOM])) && (self::$_conversionUnits[$toUOM]['AllowPrefix'])) {
2460  $unitGroup2 = self::$_conversionUnits[$toUOM]['Group'];
2461  } else {
2463  }
2464  }
2465  if ($unitGroup1 != $unitGroup2) {
2467  }
2468 
2469  if (($fromUOM == $toUOM) && ($fromMultiplier == $toMultiplier)) {
2470  // We've already factored $fromMultiplier into the value, so we need
2471  // to reverse it again
2472  return $value / $fromMultiplier;
2473  } elseif ($unitGroup1 == 'Temperature') {
2474  if (($fromUOM == 'F') || ($fromUOM == 'fah')) {
2475  if (($toUOM == 'F') || ($toUOM == 'fah')) {
2476  return $value;
2477  } else {
2478  $value = (($value - 32) / 1.8);
2479  if (($toUOM == 'K') || ($toUOM == 'kel')) {
2480  $value += 273.15;
2481  }
2482  return $value;
2483  }
2484  } elseif ((($fromUOM == 'K') || ($fromUOM == 'kel')) &&
2485  (($toUOM == 'K') || ($toUOM == 'kel'))) {
2486  return $value;
2487  } elseif ((($fromUOM == 'C') || ($fromUOM == 'cel')) &&
2488  (($toUOM == 'C') || ($toUOM == 'cel'))) {
2489  return $value;
2490  }
2491  if (($toUOM == 'F') || ($toUOM == 'fah')) {
2492  if (($fromUOM == 'K') || ($fromUOM == 'kel')) {
2493  $value -= 273.15;
2494  }
2495  return ($value * 1.8) + 32;
2496  }
2497  if (($toUOM == 'C') || ($toUOM == 'cel')) {
2498  return $value - 273.15;
2499  }
2500  return $value + 273.15;
2501  }
2502  return ($value * self::$_unitConversions[$unitGroup1][$fromUOM][$toUOM]) / $toMultiplier;
2503  } // function CONVERTUOM()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ DECTOBIN()

static PHPExcel_Calculation_Engineering::DECTOBIN (   $x,
  $places = NULL 
)
static

Definition at line 1228 of file Engineering.php.

References $out, $r, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1228  {
1231 
1232  if (is_bool($x)) {
1234  $x = (int) $x;
1235  } else {
1237  }
1238  }
1239  $x = (string) $x;
1240  if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1242  }
1243  $x = (string) floor($x);
1244  $r = decbin($x);
1245  if (strlen($r) == 32) {
1246  // Two's Complement
1247  $r = substr($r,-10);
1248  } elseif (strlen($r) > 11) {
1250  }
1251 
1252  return self::_nbrConversionFormat($r,$places);
1253  } // function DECTOBIN()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$r
Definition: example_031.php:79
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◆ DECTOHEX()

static PHPExcel_Calculation_Engineering::DECTOHEX (   $x,
  $places = null 
)
static

Definition at line 1284 of file Engineering.php.

References $out, $r, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), string, and PHPExcel_Calculation_Functions\VALUE().

1284  {
1287 
1288  if (is_bool($x)) {
1290  $x = (int) $x;
1291  } else {
1293  }
1294  }
1295  $x = (string) $x;
1296  if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1298  }
1299  $x = (string) floor($x);
1300  $r = strtoupper(dechex($x));
1301  if (strlen($r) == 8) {
1302  // Two's Complement
1303  $r = 'FF'.$r;
1304  }
1305 
1306  return self::_nbrConversionFormat($r,$places);
1307  } // function DECTOHEX()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$r
Definition: example_031.php:79
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◆ DECTOOCT()

static PHPExcel_Calculation_Engineering::DECTOOCT (   $x,
  $places = null 
)
static

Definition at line 1338 of file Engineering.php.

References $out, $r, $x, PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), string, and PHPExcel_Calculation_Functions\VALUE().

1338  {
1341 
1342  if (is_bool($x)) {
1344  $x = (int) $x;
1345  } else {
1347  }
1348  }
1349  $x = (string) $x;
1350  if (strlen($x) > preg_match_all('/[-0123456789.]/',$x,$out)) {
1352  }
1353  $x = (string) floor($x);
1354  $r = decoct($x);
1355  if (strlen($r) == 11) {
1356  // Two's Complement
1357  $r = substr($r,-10);
1358  }
1359 
1360  return self::_nbrConversionFormat($r,$places);
1361  } // function DECTOOCT()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$r
Definition: example_031.php:79
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◆ DELTA()

static PHPExcel_Calculation_Engineering::DELTA (   $a,
  $b = 0 
)
static

DELTA.

Tests whether two values are equal. Returns 1 if number1 = number2; returns 0 otherwise. Use this function to filter a set of values. For example, by summing several DELTA functions you calculate the count of equal pairs. This function is also known as the Kronecker Delta function.

Excel Function: DELTA(a[,b])

Parameters
float$aThe first number.
float$bThe second number. If omitted, b is assumed to be zero.
Returns
int

Definition at line 2192 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

2192  {
2195 
2196  return (int) ($a == $b);
2197  } // function DELTA()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ ERF()

static PHPExcel_Calculation_Engineering::ERF (   $lower,
  $upper = NULL 
)
static

ERF.

Returns the error function integrated between the lower and upper bound arguments.

Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments, the function would return a #NUM! error. However, in Excel 2010, the function algorithm was improved, so that it can now calculate the function for both positive and negative ranges. PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.

Excel Function: ERF(lower[,upper])

Parameters
float$lowerlower bound for integrating ERF
float$upperupper bound for integrating ERF. If omitted, ERF integrates between zero and lower_limit
Returns
float

Definition at line 2268 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\VALUE().

2268  {
2271 
2272  if (is_numeric($lower)) {
2273  if (is_null($upper)) {
2274  return self::_erfVal($lower);
2275  }
2276  if (is_numeric($upper)) {
2277  return self::_erfVal($upper) - self::_erfVal($lower);
2278  }
2279  }
2281  } // function ERF()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ ERFC()

static PHPExcel_Calculation_Engineering::ERFC (   $x)
static

ERFC.

Returns the complementary ERF function integrated between x and infinity

Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument, the function would return a #NUM! error. However, in Excel 2010, the function algorithm was improved, so that it can now calculate the function for both positive and negative x values. PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.

Excel Function: ERFC(x)

Parameters
float$xThe lower bound for integrating ERFC
Returns
float

Definition at line 2332 of file Engineering.php.

References $x, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\VALUE().

2332  {
2334 
2335  if (is_numeric($x)) {
2336  return self::_erfcVal($x);
2337  }
2339  } // function ERFC()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ GESTEP()

static PHPExcel_Calculation_Engineering::GESTEP (   $number,
  $step = 0 
)
static

GESTEP.

Excel Function: GESTEP(number[,step])

Returns 1 if number >= step; returns 0 (zero) otherwise Use this function to filter a set of values. For example, by summing several GESTEP functions you calculate the count of values that exceed a threshold.

Parameters
float$numberThe value to test against step.
float$stepThe threshold value. If you omit a value for step, GESTEP uses zero.
Returns
int

Definition at line 2215 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

2215  {
2218 
2219  return (int) ($number >= $step);
2220  } // function GESTEP()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ getConversionGroups()

static PHPExcel_Calculation_Engineering::getConversionGroups ( )
static

getConversionGroups Returns a list of the different conversion groups for UOM conversions

Returns
array

Definition at line 2348 of file Engineering.php.

References array.

Referenced by EngineeringTest\testGetConversionGroups().

2348  {
2349  $conversionGroups = array();
2350  foreach(self::$_conversionUnits as $conversionUnit) {
2351  $conversionGroups[] = $conversionUnit['Group'];
2352  }
2353  return array_merge(array_unique($conversionGroups));
2354  } // function getConversionGroups()
Create styles array
The data for the language used.
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◆ getConversionGroupUnitDetails()

static PHPExcel_Calculation_Engineering::getConversionGroupUnitDetails (   $group = NULL)
static

getConversionGroupUnitDetails

Parameters
string$groupThe group whose units of measure you want to retrieve
Returns
array

Definition at line 2381 of file Engineering.php.

References array.

Referenced by EngineeringTest\testGetConversionGroupUnitDetails().

2381  {
2382  $conversionGroups = array();
2383  foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
2384  if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
2385  $conversionGroups[$conversionGroup['Group']][] = array( 'unit' => $conversionUnit,
2386  'description' => $conversionGroup['Unit Name']
2387  );
2388  }
2389  }
2390  return $conversionGroups;
2391  } // function getConversionGroupUnitDetails()
Create styles array
The data for the language used.
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◆ getConversionGroupUnits()

static PHPExcel_Calculation_Engineering::getConversionGroupUnits (   $group = NULL)
static

getConversionGroupUnits Returns an array of units of measure, for a specified conversion group, or for all groups

Parameters
string$groupThe group whose units of measure you want to retrieve
Returns
array

Definition at line 2364 of file Engineering.php.

References array.

Referenced by EngineeringTest\testGetConversionGroupUnits().

2364  {
2365  $conversionGroups = array();
2366  foreach(self::$_conversionUnits as $conversionUnit => $conversionGroup) {
2367  if ((is_null($group)) || ($conversionGroup['Group'] == $group)) {
2368  $conversionGroups[$conversionGroup['Group']][] = $conversionUnit;
2369  }
2370  }
2371  return $conversionGroups;
2372  } // function getConversionGroupUnits()
Create styles array
The data for the language used.
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◆ getConversionMultipliers()

static PHPExcel_Calculation_Engineering::getConversionMultipliers ( )
static

getConversionMultipliers Returns an array of the Multiplier prefixes that can be used with Units of Measure in CONVERTUOM()

Returns
array of mixed

Definition at line 2400 of file Engineering.php.

Referenced by EngineeringTest\testGetConversionMultipliers().

2400  {
2401  return self::$_conversionMultipliers;
2402  } // function getConversionGroups()
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◆ HEXTOBIN()

static PHPExcel_Calculation_Engineering::HEXTOBIN (   $x,
  $places = null 
)
static

Definition at line 1395 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1395  {
1398 
1399  if (is_bool($x)) {
1401  }
1402  $x = (string) $x;
1403  if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1405  }
1406  $binVal = decbin(hexdec($x));
1407 
1408  return substr(self::_nbrConversionFormat($binVal,$places),-10);
1409  } // function HEXTOBIN()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ HEXTODEC()

static PHPExcel_Calculation_Engineering::HEXTODEC (   $x)
static

Definition at line 1431 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1431  {
1433 
1434  if (is_bool($x)) {
1436  }
1437  $x = (string) $x;
1438  if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1440  }
1441  return hexdec($x);
1442  } // function HEXTODEC()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ HEXTOOCT()

static PHPExcel_Calculation_Engineering::HEXTOOCT (   $x,
  $places = null 
)
static

Definition at line 1477 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1477  {
1480 
1481  if (is_bool($x)) {
1483  }
1484  $x = (string) $x;
1485  if (strlen($x) > preg_match_all('/[0123456789ABCDEF]/',strtoupper($x),$out)) {
1487  }
1488  $octVal = decoct(hexdec($x));
1489 
1490  return self::_nbrConversionFormat($octVal,$places);
1491  } // function HEXTOOCT()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ IMABS()

static PHPExcel_Calculation_Engineering::IMABS (   $complexNumber)
static

IMABS.

Returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.

Excel Function: IMABS(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the absolute value.
Returns
float

Definition at line 1729 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1729  {
1730  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1731 
1732  $parsedComplex = self::_parseComplex($complexNumber);
1733 
1734  return sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
1735  } // function IMABS()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMAGINARY()

static PHPExcel_Calculation_Engineering::IMAGINARY (   $complexNumber)
static

Definition at line 1689 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1689  {
1690  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1691 
1692  $parsedComplex = self::_parseComplex($complexNumber);
1693  return $parsedComplex['imaginary'];
1694  } // function IMAGINARY()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMARGUMENT()

static PHPExcel_Calculation_Engineering::IMARGUMENT (   $complexNumber)
static

IMARGUMENT.

Returns the argument theta of a complex number, i.e. the angle in radians from the real axis to the representation of the number in polar coordinates.

Excel Function: IMARGUMENT(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the argument theta.
Returns
float

Definition at line 1750 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1750  {
1751  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1752 
1753  $parsedComplex = self::_parseComplex($complexNumber);
1754 
1755  if ($parsedComplex['real'] == 0.0) {
1756  if ($parsedComplex['imaginary'] == 0.0) {
1757  return 0.0;
1758  } elseif($parsedComplex['imaginary'] < 0.0) {
1759  return M_PI / -2;
1760  } else {
1761  return M_PI / 2;
1762  }
1763  } elseif ($parsedComplex['real'] > 0.0) {
1764  return atan($parsedComplex['imaginary'] / $parsedComplex['real']);
1765  } elseif ($parsedComplex['imaginary'] < 0.0) {
1766  return 0 - (M_PI - atan(abs($parsedComplex['imaginary']) / abs($parsedComplex['real'])));
1767  } else {
1768  return M_PI - atan($parsedComplex['imaginary'] / abs($parsedComplex['real']));
1769  }
1770  } // function IMARGUMENT()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMCONJUGATE()

static PHPExcel_Calculation_Engineering::IMCONJUGATE (   $complexNumber)
static

IMCONJUGATE.

Returns the complex conjugate of a complex number in x + yi or x + yj text format.

Excel Function: IMCONJUGATE(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the conjugate.
Returns
string

Definition at line 1784 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1784  {
1785  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1786 
1787  $parsedComplex = self::_parseComplex($complexNumber);
1788 
1789  if ($parsedComplex['imaginary'] == 0.0) {
1790  return $parsedComplex['real'];
1791  } else {
1792  return self::_cleanComplex( self::COMPLEX( $parsedComplex['real'],
1793  0 - $parsedComplex['imaginary'],
1794  $parsedComplex['suffix']
1795  )
1796  );
1797  }
1798  } // function IMCONJUGATE()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMCOS()

static PHPExcel_Calculation_Engineering::IMCOS (   $complexNumber)
static

IMCOS.

Returns the cosine of a complex number in x + yi or x + yj text format.

Excel Function: IMCOS(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the cosine.
Returns
string|float

Definition at line 1812 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1812  {
1813  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1814 
1815  $parsedComplex = self::_parseComplex($complexNumber);
1816 
1817  if ($parsedComplex['imaginary'] == 0.0) {
1818  return cos($parsedComplex['real']);
1819  } else {
1820  return self::IMCONJUGATE(self::COMPLEX(cos($parsedComplex['real']) * cosh($parsedComplex['imaginary']),sin($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']));
1821  }
1822  } // function IMCOS()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMDIV()

static PHPExcel_Calculation_Engineering::IMDIV (   $complexDividend,
  $complexDivisor 
)
static

IMDIV.

Returns the quotient of two complex numbers in x + yi or x + yj text format.

Excel Function: IMDIV(complexDividend,complexDivisor)

Parameters
string$complexDividendThe complex numerator or dividend.
string$complexDivisorThe complex denominator or divisor.
Returns
string

Definition at line 2040 of file Engineering.php.

References $i, $r, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NaN().

2040  {
2041  $complexDividend = PHPExcel_Calculation_Functions::flattenSingleValue($complexDividend);
2042  $complexDivisor = PHPExcel_Calculation_Functions::flattenSingleValue($complexDivisor);
2043 
2044  $parsedComplexDividend = self::_parseComplex($complexDividend);
2045  $parsedComplexDivisor = self::_parseComplex($complexDivisor);
2046 
2047  if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] != '') &&
2048  ($parsedComplexDividend['suffix'] != $parsedComplexDivisor['suffix'])) {
2050  }
2051  if (($parsedComplexDividend['suffix'] != '') && ($parsedComplexDivisor['suffix'] == '')) {
2052  $parsedComplexDivisor['suffix'] = $parsedComplexDividend['suffix'];
2053  }
2054 
2055  $d1 = ($parsedComplexDividend['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['imaginary']);
2056  $d2 = ($parsedComplexDividend['imaginary'] * $parsedComplexDivisor['real']) - ($parsedComplexDividend['real'] * $parsedComplexDivisor['imaginary']);
2057  $d3 = ($parsedComplexDivisor['real'] * $parsedComplexDivisor['real']) + ($parsedComplexDivisor['imaginary'] * $parsedComplexDivisor['imaginary']);
2058 
2059  $r = $d1/$d3;
2060  $i = $d2/$d3;
2061 
2062  if ($i > 0.0) {
2063  return self::_cleanComplex($r.'+'.$i.$parsedComplexDivisor['suffix']);
2064  } elseif ($i < 0.0) {
2065  return self::_cleanComplex($r.$i.$parsedComplexDivisor['suffix']);
2066  } else {
2067  return $r;
2068  }
2069  } // function IMDIV()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$r
Definition: example_031.php:79
$i
Definition: disco.tpl.php:19
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◆ IMEXP()

static PHPExcel_Calculation_Engineering::IMEXP (   $complexNumber)
static

IMEXP.

Returns the exponential of a complex number in x + yi or x + yj text format.

Excel Function: IMEXP(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the exponential.
Returns
string

Definition at line 1972 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1972  {
1973  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1974 
1975  $parsedComplex = self::_parseComplex($complexNumber);
1976 
1977  if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1978  return '1';
1979  }
1980 
1981  $e = exp($parsedComplex['real']);
1982  $eX = $e * cos($parsedComplex['imaginary']);
1983  $eY = $e * sin($parsedComplex['imaginary']);
1984 
1985  if ($parsedComplex['suffix'] == '') {
1986  return self::COMPLEX($eX,$eY);
1987  } else {
1988  return self::COMPLEX($eX,$eY,$parsedComplex['suffix']);
1989  }
1990  } // function IMEXP()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMLN()

static PHPExcel_Calculation_Engineering::IMLN (   $complexNumber)
static

IMLN.

Returns the natural logarithm of a complex number in x + yi or x + yj text format.

Excel Function: IMLN(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the natural logarithm.
Returns
string

Definition at line 1889 of file Engineering.php.

References $t, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NaN().

1889  {
1890  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1891 
1892  $parsedComplex = self::_parseComplex($complexNumber);
1893 
1894  if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1896  }
1897 
1898  $logR = log(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
1899  $t = self::IMARGUMENT($complexNumber);
1900 
1901  if ($parsedComplex['suffix'] == '') {
1902  return self::COMPLEX($logR,$t);
1903  } else {
1904  return self::COMPLEX($logR,$t,$parsedComplex['suffix']);
1905  }
1906  } // function IMLN()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMLOG10()

static PHPExcel_Calculation_Engineering::IMLOG10 (   $complexNumber)
static

IMLOG10.

Returns the common logarithm (base 10) of a complex number in x + yi or x + yj text format.

Excel Function: IMLOG10(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the common logarithm.
Returns
string

Definition at line 1920 of file Engineering.php.

References EULER, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NaN().

1920  {
1921  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1922 
1923  $parsedComplex = self::_parseComplex($complexNumber);
1924 
1925  if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1927  } elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1928  return log10($parsedComplex['real']);
1929  }
1930 
1931  return self::IMPRODUCT(log10(EULER),self::IMLN($complexNumber));
1932  } // function IMLOG10()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
const EULER(!defined('PHPEXCEL_ROOT'))
PHPExcel root directory.
Definition: Engineering.php:40
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◆ IMLOG2()

static PHPExcel_Calculation_Engineering::IMLOG2 (   $complexNumber)
static

IMLOG2.

Returns the base-2 logarithm of a complex number in x + yi or x + yj text format.

Excel Function: IMLOG2(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the base-2 logarithm.
Returns
string

Definition at line 1946 of file Engineering.php.

References EULER, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NaN().

1946  {
1947  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1948 
1949  $parsedComplex = self::_parseComplex($complexNumber);
1950 
1951  if (($parsedComplex['real'] == 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1953  } elseif (($parsedComplex['real'] > 0.0) && ($parsedComplex['imaginary'] == 0.0)) {
1954  return log($parsedComplex['real'],2);
1955  }
1956 
1957  return self::IMPRODUCT(log(EULER,2),self::IMLN($complexNumber));
1958  } // function IMLOG2()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
const EULER(!defined('PHPEXCEL_ROOT'))
PHPExcel root directory.
Definition: Engineering.php:40
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◆ IMPOWER()

static PHPExcel_Calculation_Engineering::IMPOWER (   $complexNumber,
  $realNumber 
)
static

IMPOWER.

Returns a complex number in x + yi or x + yj text format raised to a power.

Excel Function: IMPOWER(complexNumber,realNumber)

Parameters
string$complexNumberThe complex number you want to raise to a power.
float$realNumberThe power to which you want to raise the complex number.
Returns
string

Definition at line 2005 of file Engineering.php.

References $r, PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\VALUE().

2005  {
2006  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
2007  $realNumber = PHPExcel_Calculation_Functions::flattenSingleValue($realNumber);
2008 
2009  if (!is_numeric($realNumber)) {
2011  }
2012 
2013  $parsedComplex = self::_parseComplex($complexNumber);
2014 
2015  $r = sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary']));
2016  $rPower = pow($r,$realNumber);
2017  $theta = self::IMARGUMENT($complexNumber) * $realNumber;
2018  if ($theta == 0) {
2019  return 1;
2020  } elseif ($parsedComplex['imaginary'] == 0.0) {
2021  return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
2022  } else {
2023  return self::COMPLEX($rPower * cos($theta),$rPower * sin($theta),$parsedComplex['suffix']);
2024  }
2025  } // function IMPOWER()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$r
Definition: example_031.php:79
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◆ IMPRODUCT()

static PHPExcel_Calculation_Engineering::IMPRODUCT ( )
static

IMPRODUCT.

Returns the product of two or more complex numbers in x + yi or x + yj text format.

Excel Function: IMPRODUCT(complexNumber[,complexNumber[,...]])

Parameters
string$complexNumber,...Series of complex numbers to multiply
Returns
string

Definition at line 2152 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation_Functions\NaN().

2152  {
2153  // Return value
2154  $returnValue = self::_parseComplex('1');
2155  $activeSuffix = '';
2156 
2157  // Loop through the arguments
2158  $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2159  foreach ($aArgs as $arg) {
2160  $parsedComplex = self::_parseComplex($arg);
2161 
2162  $workValue = $returnValue;
2163  if (($parsedComplex['suffix'] != '') && ($activeSuffix == '')) {
2164  $activeSuffix = $parsedComplex['suffix'];
2165  } elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
2167  }
2168  $returnValue['real'] = ($workValue['real'] * $parsedComplex['real']) - ($workValue['imaginary'] * $parsedComplex['imaginary']);
2169  $returnValue['imaginary'] = ($workValue['real'] * $parsedComplex['imaginary']) + ($workValue['imaginary'] * $parsedComplex['real']);
2170  }
2171 
2172  if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
2173  return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
2174  } // function IMPRODUCT()
static flattenArray($array)
Convert a multi-dimensional array to a simple 1-dimensional array.
Definition: Functions.php:598
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◆ IMREAL()

static PHPExcel_Calculation_Engineering::IMREAL (   $complexNumber)
static

Definition at line 1710 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1710  {
1711  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1712 
1713  $parsedComplex = self::_parseComplex($complexNumber);
1714  return $parsedComplex['real'];
1715  } // function IMREAL()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMSIN()

static PHPExcel_Calculation_Engineering::IMSIN (   $complexNumber)
static

IMSIN.

Returns the sine of a complex number in x + yi or x + yj text format.

Excel Function: IMSIN(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the sine.
Returns
string|float

Definition at line 1836 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue().

1836  {
1837  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1838 
1839  $parsedComplex = self::_parseComplex($complexNumber);
1840 
1841  if ($parsedComplex['imaginary'] == 0.0) {
1842  return sin($parsedComplex['real']);
1843  } else {
1844  return self::COMPLEX(sin($parsedComplex['real']) * cosh($parsedComplex['imaginary']),cos($parsedComplex['real']) * sinh($parsedComplex['imaginary']),$parsedComplex['suffix']);
1845  }
1846  } // function IMSIN()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMSQRT()

static PHPExcel_Calculation_Engineering::IMSQRT (   $complexNumber)
static

IMSQRT.

Returns the square root of a complex number in x + yi or x + yj text format.

Excel Function: IMSQRT(complexNumber)

Parameters
string$complexNumberThe complex number for which you want the square root.
Returns
string

Definition at line 1860 of file Engineering.php.

References $r, and PHPExcel_Calculation_Functions\flattenSingleValue().

1860  {
1861  $complexNumber = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber);
1862 
1863  $parsedComplex = self::_parseComplex($complexNumber);
1864 
1865  $theta = self::IMARGUMENT($complexNumber);
1866  $d1 = cos($theta / 2);
1867  $d2 = sin($theta / 2);
1868  $r = sqrt(sqrt(($parsedComplex['real'] * $parsedComplex['real']) + ($parsedComplex['imaginary'] * $parsedComplex['imaginary'])));
1869 
1870  if ($parsedComplex['suffix'] == '') {
1871  return self::COMPLEX($d1 * $r,$d2 * $r);
1872  } else {
1873  return self::COMPLEX($d1 * $r,$d2 * $r,$parsedComplex['suffix']);
1874  }
1875  } // function IMSQRT()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$r
Definition: example_031.php:79
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◆ IMSUB()

static PHPExcel_Calculation_Engineering::IMSUB (   $complexNumber1,
  $complexNumber2 
)
static

IMSUB.

Returns the difference of two complex numbers in x + yi or x + yj text format.

Excel Function: IMSUB(complexNumber1,complexNumber2)

Parameters
string$complexNumber1The complex number from which to subtract complexNumber2.
string$complexNumber2The complex number to subtract from complexNumber1.
Returns
string

Definition at line 2084 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NaN().

2084  {
2085  $complexNumber1 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber1);
2086  $complexNumber2 = PHPExcel_Calculation_Functions::flattenSingleValue($complexNumber2);
2087 
2088  $parsedComplex1 = self::_parseComplex($complexNumber1);
2089  $parsedComplex2 = self::_parseComplex($complexNumber2);
2090 
2091  if ((($parsedComplex1['suffix'] != '') && ($parsedComplex2['suffix'] != '')) &&
2092  ($parsedComplex1['suffix'] != $parsedComplex2['suffix'])) {
2094  } elseif (($parsedComplex1['suffix'] == '') && ($parsedComplex2['suffix'] != '')) {
2095  $parsedComplex1['suffix'] = $parsedComplex2['suffix'];
2096  }
2097 
2098  $d1 = $parsedComplex1['real'] - $parsedComplex2['real'];
2099  $d2 = $parsedComplex1['imaginary'] - $parsedComplex2['imaginary'];
2100 
2101  return self::COMPLEX($d1,$d2,$parsedComplex1['suffix']);
2102  } // function IMSUB()
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
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◆ IMSUM()

static PHPExcel_Calculation_Engineering::IMSUM ( )
static

IMSUM.

Returns the sum of two or more complex numbers in x + yi or x + yj text format.

Excel Function: IMSUM(complexNumber[,complexNumber[,...]])

Parameters
string$complexNumber,...Series of complex numbers to add
Returns
string

Definition at line 2116 of file Engineering.php.

References PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation_Functions\VALUE().

2116  {
2117  // Return value
2118  $returnValue = self::_parseComplex('0');
2119  $activeSuffix = '';
2120 
2121  // Loop through the arguments
2122  $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2123  foreach ($aArgs as $arg) {
2124  $parsedComplex = self::_parseComplex($arg);
2125 
2126  if ($activeSuffix == '') {
2127  $activeSuffix = $parsedComplex['suffix'];
2128  } elseif (($parsedComplex['suffix'] != '') && ($activeSuffix != $parsedComplex['suffix'])) {
2130  }
2131 
2132  $returnValue['real'] += $parsedComplex['real'];
2133  $returnValue['imaginary'] += $parsedComplex['imaginary'];
2134  }
2135 
2136  if ($returnValue['imaginary'] == 0.0) { $activeSuffix = ''; }
2137  return self::COMPLEX($returnValue['real'],$returnValue['imaginary'],$activeSuffix);
2138  } // function IMSUM()
static flattenArray($array)
Convert a multi-dimensional array to a simple 1-dimensional array.
Definition: Functions.php:598
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◆ OCTTOBIN()

static PHPExcel_Calculation_Engineering::OCTTOBIN (   $x,
  $places = null 
)
static

Definition at line 1528 of file Engineering.php.

References $out, $r, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1528  {
1531 
1532  if (is_bool($x)) {
1534  }
1535  $x = (string) $x;
1536  if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1538  }
1539  $r = decbin(octdec($x));
1540 
1541  return self::_nbrConversionFormat($r,$places);
1542  } // function OCTTOBIN()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
$r
Definition: example_031.php:79
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◆ OCTTODEC()

static PHPExcel_Calculation_Engineering::OCTTODEC (   $x)
static

Definition at line 1564 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1564  {
1566 
1567  if (is_bool($x)) {
1569  }
1570  $x = (string) $x;
1571  if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1573  }
1574  return octdec($x);
1575  } // function OCTTODEC()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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◆ OCTTOHEX()

static PHPExcel_Calculation_Engineering::OCTTOHEX (   $x,
  $places = null 
)
static

Definition at line 1607 of file Engineering.php.

References $out, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), string, and PHPExcel_Calculation_Functions\VALUE().

1607  {
1610 
1611  if (is_bool($x)) {
1613  }
1614  $x = (string) $x;
1615  if (preg_match_all('/[01234567]/',$x,$out) != strlen($x)) {
1617  }
1618  $hexVal = strtoupper(dechex(octdec($x)));
1619 
1620  return self::_nbrConversionFormat($hexVal,$places);
1621  } // function OCTTOHEX()
Add rich text string
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
$x
Definition: example_009.php:98
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Field Documentation

◆ $_conversionMultipliers

PHPExcel_Calculation_Engineering::$_conversionMultipliers
staticprivate
Initial value:
= array( 'Y' => array( 'multiplier' => 1E24, 'name' => 'yotta' ),
'Z' => array( 'multiplier' => 1E21, 'name' => 'zetta' ),
'E' => array( 'multiplier' => 1E18, 'name' => 'exa' ),
'P' => array( 'multiplier' => 1E15, 'name' => 'peta' ),
'T' => array( 'multiplier' => 1E12, 'name' => 'tera' ),
'G' => array( 'multiplier' => 1E9, 'name' => 'giga' ),
'M' => array( 'multiplier' => 1E6, 'name' => 'mega' ),
'k' => array( 'multiplier' => 1E3, 'name' => 'kilo' ),
'h' => array( 'multiplier' => 1E2, 'name' => 'hecto' ),
'e' => array( 'multiplier' => 1E1, 'name' => 'deka' ),
'd' => array( 'multiplier' => 1E-1, 'name' => 'deci' ),
'c' => array( 'multiplier' => 1E-2, 'name' => 'centi' ),
'm' => array( 'multiplier' => 1E-3, 'name' => 'milli' ),
'u' => array( 'multiplier' => 1E-6, 'name' => 'micro' ),
'n' => array( 'multiplier' => 1E-9, 'name' => 'nano' ),
'p' => array( 'multiplier' => 1E-12, 'name' => 'pico' ),
'f' => array( 'multiplier' => 1E-15, 'name' => 'femto' ),
'a' => array( 'multiplier' => 1E-18, 'name' => 'atto' ),
'z' => array( 'multiplier' => 1E-21, 'name' => 'zepto' ),
'y' => array( 'multiplier' => 1E-24, 'name' => 'yocto' )
)

Definition at line 127 of file Engineering.php.

◆ $_conversionUnits

PHPExcel_Calculation_Engineering::$_conversionUnits
staticprivate

Definition at line 57 of file Engineering.php.

◆ $_one_sqrtpi

PHPExcel_Calculation_Engineering::$_one_sqrtpi = 0.564189583547756287
staticprivate

Definition at line 2287 of file Engineering.php.

◆ $_two_sqrtpi

PHPExcel_Calculation_Engineering::$_two_sqrtpi = 1.128379167095512574
staticprivate

Definition at line 2226 of file Engineering.php.

◆ $_unitConversions

PHPExcel_Calculation_Engineering::$_unitConversions
staticprivate

Definition at line 154 of file Engineering.php.


The documentation for this class was generated from the following file: