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test: Accept small numerical differences in more mathematical tests
We can't rely on irrational numbers like pi being represented exactly, particularly when compiling for i386, where the i387 floating-point interface carries out calculations in registers that have higher precision than the actual double-precision variable. The 1980s were a strange time. Resolves: https://github.com/libsdl-org/SDL/issues/8311 Signed-off-by: Simon McVittie <smcv@collabora.com> (cherry picked from commit 6248472c0c738496a6f246aafa07a0e30afa6a01)
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@ -2256,7 +2256,7 @@ acos_limitCases(void *args)
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1.0, 0.0, result);
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result = SDL_acos(-1.0);
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SDLTest_AssertCheck(M_PI == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI - result) <= EPSILON,
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"Acos(%f), expected %f, got %f",
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-1.0, M_PI, result);
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@ -2343,12 +2343,12 @@ asin_limitCases(void *args)
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double result;
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result = SDL_asin(1.0);
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SDLTest_AssertCheck(M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI / 2.0 - result) <= EPSILON,
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"Asin(%f), expected %f, got %f",
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1.0, M_PI / 2.0, result);
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result = SDL_asin(-1.0);
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SDLTest_AssertCheck(-M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(-M_PI / 2.0 - result) <= EPSILON,
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"Asin(%f), expected %f, got %f",
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-1.0, -M_PI / 2.0, result);
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@ -2535,7 +2535,7 @@ atan2_bothZeroCases(void *args)
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{ 0.0, -0.0, M_PI },
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{ -0.0, -0.0, -M_PI },
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};
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return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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}
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/**
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@ -2554,7 +2554,7 @@ atan2_yZeroCases(void *args)
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{ -0.0, 1.0, -0.0 },
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{ -0.0, -1.0, -M_PI }
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};
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return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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}
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/**
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@ -2570,7 +2570,7 @@ atan2_xZeroCases(void *args)
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{ 1.0, -0.0, M_PI / 2.0 },
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{ -1.0, -0.0, -M_PI / 2.0 }
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};
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return helper_ddtod("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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return helper_ddtod_inexact("SDL_atan2", SDL_atan2, cases, SDL_arraysize(cases));
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}
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/* Infinity cases */
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@ -2589,22 +2589,22 @@ atan2_bothInfCases(void *args)
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double result;
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result = SDL_atan2(INFINITY, INFINITY);
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SDLTest_AssertCheck(M_PI / 4.0 == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI / 4.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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INFINITY, INFINITY, M_PI / 4.0, result);
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result = SDL_atan2(INFINITY, -INFINITY);
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SDLTest_AssertCheck(3.0 * M_PI / 4.0 == result,
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SDLTest_AssertCheck(SDL_fabs(3.0 * M_PI / 4.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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INFINITY, -INFINITY, 3.0 * M_PI / 4.0, result);
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result = SDL_atan2(-INFINITY, INFINITY);
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SDLTest_AssertCheck(-M_PI / 4.0 == result,
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SDLTest_AssertCheck(SDL_fabs(-M_PI / 4.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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-INFINITY, INFINITY, -M_PI / 4.0, result);
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result = SDL_atan2(-INFINITY, -INFINITY);
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SDLTest_AssertCheck(-3.0 * M_PI / 4.0 == result,
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SDLTest_AssertCheck(SDL_fabs(-3.0 * M_PI / 4.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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-INFINITY, -INFINITY, -3.0 * M_PI / 4.0, result);
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@ -2621,22 +2621,22 @@ atan2_yInfCases(void *args)
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double result;
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result = SDL_atan2(INFINITY, 1.0);
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SDLTest_AssertCheck(M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI / 2.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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INFINITY, 1.0, M_PI / 2.0, result);
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result = SDL_atan2(INFINITY, -1.0);
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SDLTest_AssertCheck(M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI / 2.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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INFINITY, -1.0, M_PI / 2.0, result);
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result = SDL_atan2(-INFINITY, 1.0);
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SDLTest_AssertCheck(-M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(-M_PI / 2.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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-INFINITY, 1.0, -M_PI / 2.0, result);
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result = SDL_atan2(-INFINITY, -1.0);
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SDLTest_AssertCheck(-M_PI / 2.0 == result,
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SDLTest_AssertCheck(SDL_fabs(-M_PI / 2.0 - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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-INFINITY, -1.0, -M_PI / 2.0, result);
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@ -2665,12 +2665,12 @@ atan2_xInfCases(void *args)
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-1.0, INFINITY, -0.0, result);
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result = SDL_atan2(1.0, -INFINITY);
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SDLTest_AssertCheck(M_PI == result,
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SDLTest_AssertCheck(SDL_fabs(M_PI - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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1.0, -INFINITY, M_PI, result);
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result = SDL_atan2(-1.0, -INFINITY);
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SDLTest_AssertCheck(-M_PI == result,
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SDLTest_AssertCheck(SDL_fabs(-M_PI - result) <= EPSILON,
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"Atan2(%f,%f), expected %f, got %f",
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-1.0, -INFINITY, -M_PI, result);
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