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e88cd615cc
The incomplete gamma primitive used a fixed 32-term power series with no convergence test, so GAMMA.DIST, GAMMADIST, CHISQ.DIST(.RT), GAMMAINV and CHISQ.INV were grossly wrong once the series argument reached ~32 (e.g. CHISQ.DIST.RT(80, 4) returned 0.806 instead of 1.74e-16). Replace it with the standard convergence-tested regularized incomplete gamma: series P(a,x) for x < a+1, continued fraction Q(a,x) for x >= a+1. CHISQ.DIST.RT now uses Q directly so the right tail stays free of 1 - P cancellation. Consolidates the duplicate copy that already existed privately in ChiSquared onto the shared primitive.
67 lines
2.3 KiB
PHP
67 lines
2.3 KiB
PHP
<?php
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declare(strict_types=1);
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namespace PhpOffice\PhpSpreadsheetTests\Calculation\Functions\Statistical;
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use PhpOffice\PhpSpreadsheet\Calculation\Calculation;
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class ChiDistRightTailTest extends AllSetupTeardown
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{
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#[\PHPUnit\Framework\Attributes\DataProvider('providerCHIDIST')]
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public function testCHIDIST(mixed $expectedResult, mixed ...$args): void
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{
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$this->runTestCaseReference('CHISQ.DIST.RT', $expectedResult, ...$args);
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}
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public static function providerCHIDIST(): array
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{
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return require 'tests/data/Calculation/Statistical/CHIDISTRightTail.php';
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}
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// Deep right tail computed directly via Q(a,x); "1 - P" would collapse these to 0.
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// Expected values from mpmath (gammainc regularized, dps 30 == 35).
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#[\PHPUnit\Framework\Attributes\DataProvider('providerChiDistRightTailDeepTail')]
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public function testChiDistRightTailDeepTail(float $expectedResult, float $value, int $degrees): void
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{
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$calculation = Calculation::getInstance();
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$formula = "=CHISQ.DIST.RT($value, $degrees)";
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/** @var float $result */
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$result = $calculation->calculateFormula($formula);
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self::assertEqualsWithDelta($expectedResult, $result, abs($expectedResult) * 1.0e-9, $formula);
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}
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public static function providerChiDistRightTailDeepTail(): array
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{
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return [
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[1.7418252446695515e-16, 80.0, 4],
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[5.0600460658425739e-21, 120.0, 10],
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[1.1253473960842734e-31, 200.0, 20],
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];
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}
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#[\PHPUnit\Framework\Attributes\DataProvider('providerChiDistRightTailArray')]
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public function testChiDistRightTailArray(array $expectedResult, string $values, string $degrees): void
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{
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$calculation = Calculation::getInstance();
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$formula = "=CHISQ.DIST.RT({$values}, {$degrees})";
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$result = $calculation->calculateFormula($formula);
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self::assertEqualsWithDelta($expectedResult, $result, 1.0e-14);
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}
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public static function providerChiDistRightTailArray(): array
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{
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return [
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'row/column vectors' => [
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[
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[0.8850022316431506, 0.6599632296942824, 0.33259390259930777],
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[0.9955440192247521, 0.9579789618046938, 0.7851303870304048],
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],
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'{3, 5, 8}',
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'{7; 12}',
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],
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];
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}
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}
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