116 lines
3.4 KiB
Plaintext
116 lines
3.4 KiB
Plaintext
{
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Solutions to the Advent Of Code.
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Copyright (C) 2024 Stefan Müller
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This program is free software: you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free Software
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Foundation, either version 3 of the License, or (at your option) any later
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version.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along with
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this program. If not, see <http://www.gnu.org/licenses/>.
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}
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unit UPolynomialRootsTestCases;
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{$mode ObjFPC}{$H+}
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interface
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uses
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Classes, SysUtils, fpcunit, testregistry, UPolynomial, UPolynomialRoots, UBigInt;
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type
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{ TPolynomialRootsTestCase }
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TPolynomialRootsTestCase = class(TTestCase)
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private
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procedure AssertBisectResult(constref AIsolatingIntervals: TIsolatingIntervals; constref AExpectedRoots:
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array of Cardinal);
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protected
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FRootIsolation: TRootIsolation;
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procedure SetUp; override;
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procedure TearDown; override;
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published
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procedure TestBisectNoBound;
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procedure TestBisectWithBound;
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end;
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implementation
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{ TPolynomialRootsTestCase }
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procedure TPolynomialRootsTestCase.AssertBisectResult(constref AIsolatingIntervals: TIsolatingIntervals; constref
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AExpectedRoots: array of Cardinal);
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var
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exp: Cardinal;
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ri: TIsolatingInterval;
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found: Boolean;
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begin
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AssertEquals('Unexpected number of isolating intervals.', Length(AExpectedRoots), AIsolatingIntervals.Count);
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for exp in AExpectedRoots do
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begin
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found := False;
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for ri in AIsolatingIntervals do
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if (ri.A <= exp) and (exp <= ri.B) then
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begin
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found := True;
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Break;
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end;
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AssertTrue('No isolating interval for expected root ' + IntToStr(exp) + ' found.', found);
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end;
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end;
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procedure TPolynomialRootsTestCase.SetUp;
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begin
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inherited SetUp;
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FRootIsolation := TRootIsolation.Create;
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end;
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procedure TPolynomialRootsTestCase.TearDown;
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begin
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FRootIsolation.Free;
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inherited TearDown;
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end;
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procedure TPolynomialRootsTestCase.TestBisectNoBound;
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const
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expRoots: array of Cardinal = (34000, 23017, 5);
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var
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a: TBigIntPolynomial;
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r: TIsolatingIntervals;
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begin
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// y = 3 * (x - 34000) * (x - 23017) * (x - 5) * (x^2 - 19) * (x + 112)
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// = 3 * x^6 - 170730 * x^5 + 2329429920 * x^4 + 251300082690 * x^3 - 1270471872603 * x^2 + 4774763204640 * x - 24979889760000
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a := TBigIntPolynomial.Create([-24979889760000, 4774763204640, -1270471872603, 251300082690, 2329429920, -170730, 3]);
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r := FRootIsolation.Bisect(a);
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AssertBisectResult(r, expRoots);
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r.Free;
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end;
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procedure TPolynomialRootsTestCase.TestBisectWithBound;
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const
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expRoots: array of Cardinal = (23017, 5);
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var
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a: TBigIntPolynomial;
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r: TIsolatingIntervals;
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begin
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// y = 3 * (x - 34000) * (x - 23017) * (x - 5) * (x^2 - 19) * (x + 112)
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// = 3 * x^6 - 170730 * x^5 + 2329429920 * x^4 + 251300082690 * x^3 - 1270471872603 * x^2 + 4774763204640 * x - 24979889760000
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a := TBigIntPolynomial.Create([-24979889760000, 4774763204640, -1270471872603, 251300082690, 2329429920, -170730, 3]);
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r := FRootIsolation.Bisect(a, TBigInt.One << 15);
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AssertBisectResult(r, expRoots);
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r.Free;
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end;
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initialization
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RegisterTest(TPolynomialRootsTestCase);
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end.
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