Feature: Modified ERF and ERFC Engineering functions to accept Excel 2010's modified acceptance of negative arguments
This commit is contained in:
Mark Baker
parent
5925bc8a65
commit
1535b4d9e7
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@ -771,24 +771,25 @@ class PHPExcel_Calculation_Engineering {
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/**
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* BESSELI
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* BESSELI
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*
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* Returns the modified Bessel function, which is equivalent to the Bessel function evaluated for
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* purely imaginary arguments
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* Returns the modified Bessel function, which is equivalent to the Bessel function evaluated for
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* purely imaginary arguments
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*
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* Excel Function:
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* Excel Function:
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* BESSELI(x,ord)
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*
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* @access public
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* @category Engineering Functions
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* @param float $x The value at which to evaluate the function.
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* @access public
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* @category Engineering Functions
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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 integer $ord The order of the Bessel function. If n is not an integer, it is truncated.
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* @param integer $ord The order of the Bessel function. If n 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 $ord < 0, BESSELI returns the #NUM! error value.
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* @return float
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* @return float
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*
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* @TODO Better handling of the approximation method to support the differences between Excel/Gnumeric and Open/Libre Office
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* @TODO Better handling of the approximation method to support the differences between Excel/Gnumeric
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* and Open/Libre Office
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*
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*/
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public static function BESSELI($x, $ord) {
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@ -2259,33 +2260,32 @@ class PHPExcel_Calculation_Engineering {
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/**
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* ERF
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* ERF
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*
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* Returns the error function integrated between lower_limit and upper_limit
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* Returns the error function integrated between the lower and upper bound arguments.
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*
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* Excel Function:
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* Note: In Excel 2007 or earlier, if you input a negative value for the upper or lower bound arguments,
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* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
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* improved, so that it can now calculate the function for both positive and negative ranges.
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* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
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*
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* Excel Function:
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* ERF(lower[,upper])
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*
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* @param float $lower lower bound for integrating ERF
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* @param float $upper upper bound for integrating ERF.
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* @param float $lower lower bound for integrating ERF
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* @param float $upper upper bound for integrating ERF.
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* If omitted, ERF integrates between zero and lower_limit
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* @return int
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* @return float
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*/
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public static function ERF($lower, $upper = null) {
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public static function ERF($lower, $upper = NULL) {
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$lower = PHPExcel_Calculation_Functions::flattenSingleValue($lower);
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$upper = PHPExcel_Calculation_Functions::flattenSingleValue($upper);
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if (is_numeric($lower)) {
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if ($lower < 0) {
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return PHPExcel_Calculation_Functions::NaN();
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}
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if (is_null($upper)) {
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return self::_erfVal($lower);
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}
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if (is_numeric($upper)) {
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if ($upper < 0) {
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return PHPExcel_Calculation_Functions::NaN();
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}
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return self::_erfVal($upper) - self::_erfVal($lower);
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}
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}
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@ -2326,23 +2326,25 @@ class PHPExcel_Calculation_Engineering {
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/**
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* ERFC
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* ERFC
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*
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* Returns the complementary ERF function integrated between x and infinity
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* Returns the complementary ERF function integrated between x and infinity
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*
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* Excel Function:
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* Note: In Excel 2007 or earlier, if you input a negative value for the lower bound argument,
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* the function would return a #NUM! error. However, in Excel 2010, the function algorithm was
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* improved, so that it can now calculate the function for both positive and negative x values.
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* PHPExcel follows Excel 2010 behaviour, and accepts nagative arguments.
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*
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* Excel Function:
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* ERF(x)
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*
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* @param float $x The lower bound for integrating ERF
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* @return int
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* @param float $x The lower bound for integrating ERF
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* @return float
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*/
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public static function ERFC($x) {
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$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
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$x = PHPExcel_Calculation_Functions::flattenSingleValue($x);
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if (is_numeric($x)) {
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if ($x < 0) {
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return PHPExcel_Calculation_Functions::NaN();
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}
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return self::_erfcVal($x);
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}
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return PHPExcel_Calculation_Functions::VALUE();
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@ -30,6 +30,7 @@ Fixed in develop branch:
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tcPDF Library has now been removed from the deployment bundle
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- Feature: (MBaker) Initial version of HTML Reader
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- Feature: (Progi1984) & (blazzy) Work items 9605 - Implement support for AutoFilter in PHPExcel_Writer_Excel5
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- Feature: (MBaker) Modified ERF and ERFC Engineering functions to accept Excel 2010's modified acceptance of negative arguments
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- Bugfix: (cyberconte) Patch 12318 - OOCalc cells containing <text:span> inside the <text:p> tag
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- Bugfix: (schir1964) Fix to listWorksheetInfo() method for OOCalc Reader
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- Bugfix: (MBaker) Support for "e" (epoch) date format mask
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@ -405,7 +405,7 @@ class EngineeringTest extends PHPUnit_Framework_TestCase
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$args = func_get_args();
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$expectedResult = array_pop($args);
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$result = call_user_func_array(array('PHPExcel_Calculation_Engineering','ERF'),$args);
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$this->assertEquals($expectedResult, $result, NULL, 1E-6);
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$this->assertEquals($expectedResult, $result, NULL, 1E-12);
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}
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public function providerERF()
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@ -421,7 +421,7 @@ class EngineeringTest extends PHPUnit_Framework_TestCase
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$args = func_get_args();
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$expectedResult = array_pop($args);
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$result = call_user_func_array(array('PHPExcel_Calculation_Engineering','ERFC'),$args);
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$this->assertEquals($expectedResult, $result, NULL, 1E-6);
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$this->assertEquals($expectedResult, $result, NULL, 1E-12);
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}
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public function providerERFC()
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@ -1,121 +1,124 @@
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0, 0.0
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0.01, 0.0112834155558496
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0.05, 0.0563719777970166
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0.1, 0.1124629160182850
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0.125, 0.1403162048013340
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0.15, 0.1679959714273630
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0.2, 0.2227025892104780
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0.25, 0.2763263901682370
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0.3, 0.3286267594591270
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0.35, 0.3793820535623100
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0.4, 0.4283923550466680
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0.45, 0.4754817197869240
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0.5, 0.5204998778130470
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0.6, 0.6038560908479260
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0.7, 0.6778011938374180
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0.8, 0.7421009647076610
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0.9, 0.7969082124228320
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1, 0.8427007929497150
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1.1, 0.8802050695740820
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1.2, 0.9103139782296350
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1.3, 0.9340079449406520
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1.4, 0.9522851197626490
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1.5, 0.9661051464753110
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1.75, 0.9866716712191820
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2, 0.9953222650189530
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2.5, 0.9995930479825550
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3, 0.9999779095030010
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3.5, 0.9999992569016280
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4, 0.9999999845827420
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4.5, 0.9999999998033840
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5, 0.9999999999984630
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5.5, 0.9999999999999930
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6, 1.0
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32, 1.0
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-0.1, -0.1124629160182850
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-1, -0.8427007929497150
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TRUE, "#VALUE!"
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FALSE, "#VALUE!"
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2, 0.9953222650189530
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"TWO", "#VALUE!"
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-1.5, -1.5, 0
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-0.75, -1.5, -0.254949513
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0, -1.5, -0.966105146
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0.75, -1.5, -1.67726078
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1.5, -1.5, -1.932210293
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2.25, -1.5, -1.96464243
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3, -1.5, -1.966083056
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3.75, -1.5, -1.966105033
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4.5, -1.5, -1.966105146
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-1.5, -0.75, 0.254949513
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-0.75, -0.75, 0
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0, -0.75, -0.711155634
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0.75, -0.75, -1.422311267
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1.5, -0.75, -1.67726078
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2.25, -0.75, -1.709692917
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3, -0.75, -1.711133543
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3.75, -0.75, -1.71115552
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4.5, -0.75, -1.711155633
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-1.5, 0, 0.966105146
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-0.75, 0, 0.711155634
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0, 0, 0
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0.75, 0, -0.711155634
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1.5, 0, -0.966105146
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2.25, 0, -0.998537283
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3, 0, -0.99997791
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3.75, 0, -0.999999886
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4.5, 0, -1
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-1.5, 0.75, 1.67726078
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-0.75, 0.75, 1.422311267
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0, 0.75, 0.711155634
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0.75, 0.75, 0
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1.5, 0.75, -0.254949513
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2.25, 0.75, -0.28738165
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3, 0.75, -0.288822276
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3.75, 0.75, -0.288844253
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4.5, 0.75, -0.288844366
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-1.5, 1.5, 1.932210293
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-0.75, 1.5, 1.67726078
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0, 1.5, 0.966105146
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0.75, 1.5, 0.254949513
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1.5, 1.5, 0
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2.25, 1.5, -0.032432137
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3, 1.5, -0.033872763
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3.75, 1.5, -0.03389474
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4.5, 1.5, -0.033894853
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-1.5, 2.25, 1.96464243
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-0.75, 2.25, 1.709692917
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0, 2.25, 0.998537283
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0.75, 2.25, 0.28738165
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1.5, 2.25, 0.032432137
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2.25, 2.25, 0
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3, 2.25, -0.001440626
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3.75, 2.25, -0.001462603
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4.5, 2.25, -0.001462716
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-1.5, 3, 1.966083056
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-0.75, 3, 1.711133543
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0, 3, 0.99997791
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0.75, 3, 0.288822276
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1.5, 3, 0.033872763
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2.25, 3, 0.001440626
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3, 3, 0
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3.75, 3, -2.19768E-05
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4.5, 3, -2.20903E-05
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-1.5, 3.75, 1.966105033
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-0.75, 3.75, 1.71115552
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0, 3.75, 0.999999886
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0.75, 3.75, 0.288844253
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1.5, 3.75, 0.03389474
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2.25, 3.75, 0.001462603
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3, 3.75, 2.19768E-05
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3.75, 3.75, 0
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4.5, 3.75, -1.13531E-07
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-1.5, 4.5, 1.966105146
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-0.75, 4.5, 1.711155633
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0, 4.5, 1
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0.75, 4.5, 0.288844366
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1.5, 4.5, 0.033894853
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2.25, 4.5, 0.001462716
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3, 4.5, 2.20903E-05
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3.75, 4.5, 1.13531E-07
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4.5, 4.5, 0
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# lower bound upper bound Result
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0, 0.0
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0.01, 0.0112834155558496
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0.05, 0.0563719777970166
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0.1, 0.1124629160182850
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0.125, 0.1403162048013340
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0.15, 0.1679959714273630
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0.2, 0.2227025892104780
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0.25, 0.2763263901682370
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0.3, 0.3286267594591270
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0.35, 0.3793820535623100
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0.4, 0.4283923550466680
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0.45, 0.4754817197869240
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0.5, 0.5204998778130470
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0.6, 0.6038560908479260
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0.7, 0.6778011938374180
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0.8, 0.7421009647076610
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0.9, 0.7969082124228320
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1, 0.8427007929497150
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1.1, 0.8802050695740820
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1.2, 0.9103139782296350
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1.3, 0.9340079449406520
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1.4, 0.9522851197626490
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1.5, 0.9661051464753110
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1.75, 0.9866716712191820
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2, 0.9953222650189530
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2.5, 0.9995930479825550
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3, 0.9999779095030010
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3.5, 0.9999992569016280
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4, 0.9999999845827420
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4.5, 0.9999999998033840
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5, 0.9999999999984630
|
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5.5, 0.9999999999999930
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6, 1.0
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32, 1.0
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-0.1, -0.1124629160182850
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-1, -0.8427007929497150
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TRUE, "#VALUE!"
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FALSE, "#VALUE!"
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"2", 0.9953222650189530
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"TWO", "#VALUE!"
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-1.5, -1.5, 0.0
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-0.75, -1.5, -0.2549495128217960
|
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0, -1.5, -0.9661051464753110
|
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0.75, -1.5, -1.6772607801288300
|
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1.5, -1.5, -1.9322102929506200
|
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2.25, -1.5, -1.9646424298886300
|
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3, -1.5, -1.9660830559783100
|
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3.75, -1.5, -1.9661050327480500
|
||||
4.5, -1.5, -1.9661051462786900
|
||||
-1.5, -0.75, 0.2549495128217960
|
||||
-0.75, -0.75, 0.0
|
||||
0, -0.75, -0.7111556336535150
|
||||
0.75, -0.75, -1.4223112673070300
|
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1.5, -0.75, -1.6772607801288300
|
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2.25, -0.75, -1.7096929170668300
|
||||
3, -0.75, -1.7111335431565200
|
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3.75, -0.75, -1.7111555199262600
|
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4.5, -0.75, -1.7111556334569000
|
||||
-1.5, 0, 0.9661051464753110
|
||||
-0.75, 0, 0.7111556336535150
|
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0, 0, 0.0
|
||||
0.75, 0, -0.7111556336535150
|
||||
1.5, 0, -0.9661051464753110
|
||||
2.25, 0, -0.9985372834133190
|
||||
3, 0, -0.9999779095030010
|
||||
3.75, 0, -0.9999998862727430
|
||||
4.5, 0, -0.9999999998033840
|
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-1.5, 0.75, 1.6772607801288300
|
||||
-0.75, 0.75, 1.4223112673070300
|
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0, 0.75, 0.7111556336535150
|
||||
0.75, 0.75, 0.0
|
||||
1.5, 0.75, -0.2549495128217960
|
||||
2.25, 0.75, -0.2873816497598040
|
||||
3, 0.75, -0.2888222758494860
|
||||
3.75, 0.75, -0.2888442526192280
|
||||
4.5, 0.75, -0.2888443661498690
|
||||
-1.5, 1.5, 1.9322102929506200
|
||||
-0.75, 1.5, 1.6772607801288300
|
||||
0, 1.5, 0.9661051464753110
|
||||
0.75, 1.5, 0.2549495128217960
|
||||
1.5, 1.5, 0.0
|
||||
2.25, 1.5, -0.0324321369380081
|
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3, 1.5, -0.0338727630276906
|
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3.75, 1.5, -0.0338947397974326
|
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4.5, 1.5, -0.0338948533280732
|
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-1.5, 2.25, 1.9646424298886300
|
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-0.75, 2.25, 1.7096929170668300
|
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0, 2.25, 0.9985372834133190
|
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0.75, 2.25, 0.2873816497598040
|
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1.5, 2.25, 0.0324321369380081
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2.25, 2.25, 0.0
|
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3, 2.25, -0.0014406260896825
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3.75, 2.25, -0.0014626028594246
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4.5, 2.25, -0.0014627163900651
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-1.5, 3, 1.9660830559783100
|
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-0.75, 3, 1.7111335431565200
|
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0, 3, 0.9999779095030010
|
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0.75, 3, 0.2888222758494860
|
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1.5, 3, 0.0338727630276906
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2.25, 3, 0.0014406260896825
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3, 3, 0.0
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3.75, 3, -0.0000219767697420
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4.5, 3, -0.0000220903003826
|
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-1.5, 3.75, 1.9661050327480500
|
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-0.75, 3.75, 1.7111555199262600
|
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0, 3.75, 0.9999998862727430
|
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0.75, 3.75, 0.2888442526192280
|
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1.5, 3.75, 0.0338947397974326
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2.25, 3.75, 0.0014626028594246
|
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3, 3.75, 0.0000219767697420
|
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3.75, 3.75, 0.0
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4.5, 3.75, -0.0000001135306406
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-1.5, 4.5, 1.9661051462786900
|
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-0.75, 4.5, 1.7111556334569000
|
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0, 4.5, 0.9999999998033840
|
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0.75, 4.5, 0.2888443661498690
|
||||
1.5, 4.5, 0.0338948533280732
|
||||
2.25, 4.5, 0.0014627163900651
|
||||
3, 4.5, 0.0000220903003826
|
||||
3.75, 4.5, 0.0000001135306406
|
||||
4.5, 4.5, 0.0
|
||||
5, -1, -1.8427007929481800
|
||||
-5, 1, 1.8427007929481800
|
||||
|
|
|
|||
|
|
@ -1,82 +1,41 @@
|
|||
-2.5, 5, 0
|
||||
-1.5, -1.5, 0
|
||||
-0.75, -1.5, 0
|
||||
0, -1.5, 0
|
||||
0.75, -1.5, 0.288844366
|
||||
1.5, -1.5, 0.033894854
|
||||
2.25, -1.5, 0.001462717
|
||||
3, -1.5, 2.20905E-05
|
||||
3.75, -1.5, 1.13727E-07
|
||||
4.5, -1.5, 1.96616E-10
|
||||
-1.5, -0.75, 0
|
||||
-0.75, -0.75, 0
|
||||
0, -0.75, 0
|
||||
0.75, -0.75, 0.288844366
|
||||
1.5, -0.75, 0.033894854
|
||||
2.25, -0.75, 0.001462717
|
||||
3, -0.75, 2.20905E-05
|
||||
3.75, -0.75, 1.13727E-07
|
||||
4.5, -0.75, 1.96616E-10
|
||||
-1.5, 0, 0
|
||||
-0.75, 0, 0
|
||||
0, 0, 0
|
||||
0.75, 0, 0.288844366
|
||||
1.5, 0, 0.033894854
|
||||
2.25, 0, 0.001462717
|
||||
3, 0, 2.20905E-05
|
||||
3.75, 0, 1.13727E-07
|
||||
4.5, 0, 1.96616E-10
|
||||
-1.5, 0.75, 0
|
||||
-0.75, 0.75, 0
|
||||
0, 0.75, 0
|
||||
0.75, 0.75, 0.288844366
|
||||
1.5, 0.75, 0.033894854
|
||||
2.25, 0.75, 0.001462717
|
||||
3, 0.75, 2.20905E-05
|
||||
3.75, 0.75, 1.13727E-07
|
||||
4.5, 0.75, 1.96616E-10
|
||||
-1.5, 1.5, 0
|
||||
-0.75, 1.5, 0
|
||||
0, 1.5, 0
|
||||
0.75, 1.5, 0.288844366
|
||||
1.5, 1.5, 0.033894854
|
||||
2.25, 1.5, 0.001462717
|
||||
3, 1.5, 2.20905E-05
|
||||
3.75, 1.5, 1.13727E-07
|
||||
4.5, 1.5, 1.96616E-10
|
||||
-1.5, 2.25, 0
|
||||
-0.75, 2.25, 0
|
||||
0, 2.25, 0
|
||||
0.75, 2.25, 0.288844366
|
||||
1.5, 2.25, 0.033894854
|
||||
2.25, 2.25, 0.001462717
|
||||
3, 2.25, 2.20905E-05
|
||||
3.75, 2.25, 1.13727E-07
|
||||
4.5, 2.25, 1.96616E-10
|
||||
-1.5, 3, 0
|
||||
-0.75, 3, 0
|
||||
0, 3, 0
|
||||
0.75, 3, 0.288844366
|
||||
1.5, 3, 0.033894854
|
||||
2.25, 3, 0.001462717
|
||||
3, 3, 2.20905E-05
|
||||
3.75, 3, 1.13727E-07
|
||||
4.5, 3, 1.96616E-10
|
||||
-1.5, 3.75, 0
|
||||
-0.75, 3.75, 0
|
||||
0, 3.75, 0
|
||||
0.75, 3.75, 0.288844366
|
||||
1.5, 3.75, 0.033894854
|
||||
2.25, 3.75, 0.001462717
|
||||
3, 3.75, 2.20905E-05
|
||||
3.75, 3.75, 1.13727E-07
|
||||
4.5, 3.75, 1.96616E-10
|
||||
-1.5, 4.5, 0
|
||||
-0.75, 4.5, 0
|
||||
0, 4.5, 0
|
||||
0.75, 4.5, 0.288844366
|
||||
1.5, 4.5, 0.033894854
|
||||
2.25, 4.5, 0.001462717
|
||||
3, 4.5, 2.20905E-05
|
||||
3.75, 4.5, 1.13727E-07
|
||||
4.5, 4.5, 1.96616E-10
|
||||
# x value Result
|
||||
0, 1.0
|
||||
0.01, 0.9887165844441500
|
||||
0.05, 0.9436280222029830
|
||||
0.1, 0.8875370839817150
|
||||
0.125, 0.8596837951986660
|
||||
0.15, 0.8320040285726360
|
||||
0.2, 0.7772974107895220
|
||||
0.25, 0.7236736098317630
|
||||
0.3, 0.6713732405408730
|
||||
0.35, 0.6206179464376900
|
||||
0.4, 0.5716076449533320
|
||||
0.45, 0.5245182802130760
|
||||
0.5, 0.4795001221869530
|
||||
0.6, 0.3961439091520740
|
||||
0.7, 0.3221988061625820
|
||||
0.8, 0.2578990352923390
|
||||
0.9, 0.2030917875771680
|
||||
1, 0.1572992070502850
|
||||
1.1, 0.1197949304259180
|
||||
1.2, 0.0896860217703646
|
||||
1.3, 0.0659920550593475
|
||||
1.4, 0.0477148802373512
|
||||
1.5, 0.0338948535246893
|
||||
1.75, 0.0133283287808176
|
||||
2, 0.0046777349810473
|
||||
2.5, 0.0004069520174450
|
||||
3, 0.0000220904969986
|
||||
3.5, 0.0000007430983723
|
||||
4, 0.0000000154172579
|
||||
4.5, 0.0000000001966160
|
||||
5, 0.0000000000015375
|
||||
5.5, 0.0000000000000074
|
||||
6, 0.0
|
||||
32, 0.0
|
||||
-0.1, 1.1124629160182900
|
||||
-1, 1.8427007929497100
|
||||
TRUE, "#VALUE!"
|
||||
FALSE, "#VALUE!"
|
||||
"2", 0.0046777349810473
|
||||
"TWO", "#VALUE!"
|
||||
|
|
|
|||
Loading…
Reference in New Issue