math_func.cpp

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/*
 * This file is part of OpenTTD.
 * OpenTTD is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, version 2.
 * OpenTTD is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
 * See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with OpenTTD. If not, see <https://www.gnu.org/licenses/old-licenses/gpl-2.0>.
 */

 
#include "../stdafx.h"
 
#include "../3rdparty/catch2/catch.hpp"
 
#include "../core/math_func.hpp"
 
#include "../safeguards.h"
 
TEST_CASE("DivideApproxTest - Negative")
{
  CHECK(-2 == DivideApprox(-5, 2));
  CHECK(2 == DivideApprox(-5, -2));
  CHECK(-1 == DivideApprox(-66, 80));
}
 
TEST_CASE("DivideApproxTest, Divide")
{
  CHECK(2 == DivideApprox(5, 2));
  CHECK(3 == DivideApprox(80, 30));
  CHECK(3 == DivideApprox(8, 3));
  CHECK(0 == DivideApprox(3, 8));
}
 
TEST_CASE("IntSqrtTest - Zero")
{
  CHECK(0 == IntSqrt(0));
}
 
TEST_CASE("IntSqrtTest - FindSqRt")
{
  CHECK(5 == IntSqrt(25));
  CHECK(10 == IntSqrt(100));
  CHECK(9 == IntSqrt(88));
  CHECK(1696 == IntSqrt(2876278));
}
 
 
TEST_CASE("ClampTo")
{
  CHECK(0 == ClampTo<uint8_t>(std::numeric_limits<int64_t>::lowest()));
  CHECK(0 == ClampTo<uint8_t>(-1));
  CHECK(0 == ClampTo<uint8_t>(0));
  CHECK(1 == ClampTo<uint8_t>(1));
 
  CHECK(255 == ClampTo<uint8_t>(std::numeric_limits<uint64_t>::max()));
  CHECK(255 == ClampTo<uint8_t>(256));
  CHECK(255 == ClampTo<uint8_t>(255));
  CHECK(254 == ClampTo<uint8_t>(254));
 
  CHECK(-128 == ClampTo<int8_t>(std::numeric_limits<int64_t>::lowest()));
  CHECK(-128 == ClampTo<int8_t>(-129));
  CHECK(-128 == ClampTo<int8_t>(-128));
  CHECK(-127 == ClampTo<int8_t>(-127));
 
  CHECK(127 == ClampTo<int8_t>(std::numeric_limits<uint64_t>::max()));
  CHECK(127 == ClampTo<int8_t>(128));
  CHECK(127 == ClampTo<int8_t>(127));
  CHECK(126 == ClampTo<int8_t>(126));
 
  CHECK(126 == ClampTo<int64_t>(static_cast<uint8_t>(126)));
  CHECK(126 == ClampTo<uint64_t>(static_cast<int8_t>(126)));
  CHECK(0 == ClampTo<uint64_t>(static_cast<int8_t>(-126)));
  CHECK(0 == ClampTo<uint8_t>(static_cast<int8_t>(-126)));
 
  /* The realm around 64 bits types is tricky as there is not one type/method that works for all. */
 
  /* lowest/max uint64_t does not get clamped when clamping to uint64_t. */
  CHECK(std::numeric_limits<uint64_t>::lowest() == ClampTo<uint64_t>(std::numeric_limits<uint64_t>::lowest()));
  CHECK(std::numeric_limits<uint64_t>::max() == ClampTo<uint64_t>(std::numeric_limits<uint64_t>::max()));
 
  /* negative int64_t get clamped to 0. */
  CHECK(0 == ClampTo<uint64_t>(std::numeric_limits<int64_t>::lowest()));
  CHECK(0 == ClampTo<uint64_t>(int64_t(-1)));
  /* positive int64_t remain the same. */
  CHECK(1 == ClampTo<uint64_t>(int64_t(1)));
  CHECK(static_cast<uint64_t>(std::numeric_limits<int64_t>::max()) == ClampTo<uint64_t>(std::numeric_limits<int64_t>::max()));
 
  /* max uint64_t gets clamped to max int64_t. */
  CHECK(std::numeric_limits<int64_t>::max() == ClampTo<int64_t>(std::numeric_limits<uint64_t>::max()));
}
 
 
TEST_CASE("SoftClamp")
{
  /* Special behaviour of soft clamp returning the average of min/max when min is higher than max. */
  CHECK(1250 == SoftClamp(0, 1500, 1000));
  int million = 1000 * 1000;
  CHECK(1250 * million == SoftClamp(0, 1500 * million, 1000 * million));
  CHECK(0 == SoftClamp(0, 1500 * million, -1500 * million));
}