framework/delibs/debase/deMathTest.c

/*-------------------------------------------------------------------------
 * drawElements Base Portability Library
 * -------------------------------------
 *
 * Copyright 2015 The Android Open Source Project
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
 *//*!
 * \file
 * \brief Testing of deMath functions.
 *//*--------------------------------------------------------------------*/

#include "deMath.h"
#include "deRandom.h"

DE_BEGIN_EXTERN_C

static deBool conversionToFloatLosesPrecision (deInt32 x)
{
	if (x == -0x7FFFFFFF - 1)
		return DE_FALSE;
	else if (x < 0)
		return conversionToFloatLosesPrecision(-x);
	else if (x == 0)
		return DE_FALSE;
	else if (((deUint32)x & 0x1) == 0)
		return conversionToFloatLosesPrecision(x >> 1); /* remove trailing zeros */
	else
		return x > ((1 << 24) - 1); /* remaining part does not fit in the mantissa? */
}

static void testSingleInt32ToFloat (deInt32 x)
{
	/* roundTowardsToNegInf(x) <= round(x) <= roundTowardsPosInf(x). */
	/* \note: Need to use inequalities since round(x) returns arbitrary precision floats. */
	DE_TEST_ASSERT(deInt32ToFloatRoundToNegInf(x) <= deInt32ToFloat(x));
	DE_TEST_ASSERT(deInt32ToFloat(x) <= deInt32ToFloatRoundToPosInf(x));

	/* if precision is lost, floor(x) < ceil(x). Else floor(x) == ceil(x) */
	if (conversionToFloatLosesPrecision(x))
		DE_TEST_ASSERT(deInt32ToFloatRoundToNegInf(x) < deInt32ToFloatRoundToPosInf(x));
	else
		DE_TEST_ASSERT(deInt32ToFloatRoundToNegInf(x) == deInt32ToFloatRoundToPosInf(x));

	/* max one ulp from each other */
	if (deInt32ToFloatRoundToNegInf(x) < deInt32ToFloatRoundToPosInf(x))
	{
		union
		{
			float f;
			deInt32 u;
		} v0, v1;

		v0.f = deInt32ToFloatRoundToNegInf(x);
		v1.f = deInt32ToFloatRoundToPosInf(x);

		DE_TEST_ASSERT(v0.u + 1 == v1.u || v0.u == v1.u + 1);
	}
}

static void testInt32ToFloat (void)
{
	const int	numIterations = 2500000;

	int			sign;
	int			numBits;
	int			delta;
	int			ndx;
	deRandom	rnd;

	deRandom_init(&rnd, 0xdeadbeefu-1);

	for (sign = -1; sign < 1; ++sign)
	for (numBits = 0; numBits < 32; ++numBits)
	for (delta = -2; delta < 3; ++delta)
	{
		const deInt64 x = (deInt64)(sign == -1 ? (-1) : (+1)) * (1LL << (deInt64)numBits) + (deInt64)delta;

		/* would overflow */
		if (x > 0x7FFFFFFF || x < -0x7FFFFFFF - 1)
			continue;

		testSingleInt32ToFloat((deInt32)x);
	}

	for (ndx = 0; ndx < numIterations; ++ndx)
		testSingleInt32ToFloat((deInt32)deRandom_getUint32(&rnd));
}

void deMath_selfTest (void)
{
	/* Test Int32ToFloat*(). */
	testInt32ToFloat();
}

DE_END_EXTERN_C