/*-------------------------------------------------------------------------
* drawElements Base Portability Library
* -------------------------------------
*
* Copyright 2017 Google Inc.
*
* 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 deFloat16 functions.
*//*--------------------------------------------------------------------*/
#include "deFloat16.h"
#include "deRandom.h"
DE_BEGIN_EXTERN_C
static float getFloat32 (deUint32 sign, deUint32 biased_exponent, deUint32 mantissa)
{
union
{
float f;
deUint32 u;
} x;
x.u = (sign << 31) | (biased_exponent << 23) | mantissa;
return x.f;
}
static deFloat16 getFloat16 (deUint16 sign, deUint16 biased_exponent, deUint16 mantissa)
{
return (deFloat16) ((sign << 15) | (biased_exponent << 10) | mantissa);
}
static deFloat16 deFloat32To16RTZ (float val32)
{
return deFloat32To16Round(val32, DE_ROUNDINGMODE_TO_ZERO);
}
static deFloat16 deFloat32To16RTE (float val32)
{
return deFloat32To16Round(val32, DE_ROUNDINGMODE_TO_NEAREST_EVEN);
}
void deFloat16_selfTest (void)
{
/* 16-bit: 1 5 (0x00--0x1f) 10 (0x000--0x3ff)
* 32-bit: 1 8 (0x00--0xff) 23 (0x000000--0x7fffff)
*/
deRandom rnd;
int idx;
deRandom_init(&rnd, 0xdeadbeefu-1);
/* --- For rounding mode RTZ --- */
/* Zero */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0, 0)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0, 0)) == getFloat16(1, 0, 0));
/* Inf */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0)) == getFloat16(0, 0x1f, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0)) == getFloat16(1, 0x1f, 0));
/* SNaN */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 1)) == getFloat16(0, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 1)) == getFloat16(1, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x3fffff)) == getFloat16(0, 0x1f, 0x1ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x3fffff)) == getFloat16(1, 0x1f, 0x1ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x0003ff)) == getFloat16(0, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x0003ff)) == getFloat16(1, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x123456)) == getFloat16(0, 0x1f, 0x123456 >> 13));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x123456)) == getFloat16(1, 0x1f, 0x123456 >> 13));
/* QNaN */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x400000)) == getFloat16(0, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x400000)) == getFloat16(1, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x7fffff)) == getFloat16(0, 0x1f, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x7fffff)) == getFloat16(1, 0x1f, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x4003ff)) == getFloat16(0, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x4003ff)) == getFloat16(1, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0xff, 0x723456)) == getFloat16(0, 0x1f, 0x723456 >> 13));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0xff, 0x723456)) == getFloat16(1, 0x1f, 0x723456 >> 13));
/* Denormalized */
for (idx = 0; idx < 256; ++idx)
{
deUint32 mantissa = deRandom_getUint32(&rnd);
mantissa &= 0x7fffffu; /* Take the last 23 bits */
mantissa |= (mantissa == 0); /* Make sure it is not zero */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 0, mantissa)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 0, mantissa)) == getFloat16(1, 0, 0));
}
/* Normalized -> zero */
/* Absolute value: minimal 32-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 1, 0)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 1, 0)) == getFloat16(1, 0, 0));
/* Absolute value: 2^-24 - e, extremely near minimal 16-bit denormalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 25, 0x7fffff)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 25, 0x7fffff)) == getFloat16(1, 0, 0));
for (idx = 0; idx < 256; ++idx)
{
deUint32 exponent = deRandom_getUint32(&rnd);
deUint32 mantissa = deRandom_getUint32(&rnd);
exponent = exponent % (127 - 25) + 1; /* Make sure >= 1, <= 127 - 25 */
mantissa &= 0x7fffffu; /* Take the last 23 bits */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, exponent, mantissa)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, exponent, mantissa)) == getFloat16(1, 0, 0));
}
/* Normalized -> denormalized */
/* Absolute value: 2^-24, minimal 16-bit denormalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 24, 0)) == getFloat16(0, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 24, 0)) == getFloat16(1, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 24, 1)) == getFloat16(0, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 24, 1)) == getFloat16(1, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 20, 0x123456)) == getFloat16(0, 0, 0x12));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 20, 0x123456)) == getFloat16(1, 0, 0x12));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 18, 0x654321)) == getFloat16(0, 0, 0x72));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 18, 0x654321)) == getFloat16(1, 0, 0x72));
/* Absolute value: 2^-14 - 2^-24 = (2 - 2^-9) * 2^-15, maximal 16-bit denormalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 15, 0x7fc000)) == getFloat16(0, 0, 0x3ff)); /* 0x7fc000: 0111 1111 1100 0000 0000 0000 */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 15, 0x7fc000)) == getFloat16(1, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 15, 0x7fc000 - 1)) == getFloat16(0, 0, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 15, 0x7fc000 - 1)) == getFloat16(1, 0, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 15, 0x7fc000 + 1)) == getFloat16(0, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 15, 0x7fc000 + 1)) == getFloat16(1, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 15, 0x7fffff)) == getFloat16(0, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 15, 0x7fffff)) == getFloat16(1, 0, 0x3ff));
/* Normalized -> normalized */
/* Absolute value: 2^-14, minimal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 - 14, 0)) == getFloat16(0, 1, 0));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 - 14, 0)) == getFloat16(1, 1, 0));
/* Absolute value: 65504 - 2^-23, extremely near maximal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 + 15, (0x3ff << 13) - 1)) == getFloat16(0, 0x1e, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 + 15, (0x3ff << 13) - 1)) == getFloat16(1, 0x1e, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 + 15, (0x3ff << 13) - 0x456)) == getFloat16(0, 0x1e, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 + 15, (0x3ff << 13) - 0x456)) == getFloat16(1, 0x1e, 0x3fe));
/* Absolute value: 65504, maximal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 + 15, 0x3ff << 13)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 + 15, 0x3ff << 13)) == getFloat16(1, 0x1e, 0x3ff));
for (idx = 0; idx < 256; ++idx)
{
deUint32 exponent = deRandom_getUint32(&rnd);
deUint32 mantissa = deRandom_getUint32(&rnd);
exponent = exponent % ((127 + 14) - (127 -14) + 1) + (127 - 14); /* Make sure >= 127 - 14, <= 127 + 14 */
mantissa &= 0x7fffffu; /* Take the last 23 bits */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, exponent, mantissa)) == getFloat16(0, (deUint16) (exponent + 15 - 127), (deUint16) (mantissa >> 13)));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, exponent, mantissa)) == getFloat16(1, (deUint16) (exponent + 15 - 127), (deUint16) (mantissa >> 13)));
}
/* Normalized -> minimal/maximal normalized */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 + 15, (0x3ff << 13) + 1)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 + 15, (0x3ff << 13) + 1)) == getFloat16(1, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, 127 + 15, (0x3ff << 13) + 0x123)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, 127 + 15, (0x3ff << 13) + 0x123)) == getFloat16(1, 0x1e, 0x3ff));
for (idx = 0; idx < 256; ++idx)
{
deUint32 exponent = deRandom_getUint32(&rnd);
deUint32 mantissa = deRandom_getUint32(&rnd);
exponent = exponent % (0xfe - (127 + 16) + 1) + (127 + 16); /* Make sure >= 127 + 16, <= 0xfe */
mantissa &= 0x7fffffu; /* Take the last 23 bits */
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(0, exponent, mantissa)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTZ(getFloat32(1, exponent, mantissa)) == getFloat16(1, 0x1e, 0x3ff));
}
/* --- For rounding mode RTE --- */
/* Zero */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0, 0)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0, 0)) == getFloat16(1, 0, 0));
/* Inf */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0)) == getFloat16(0, 0x1f, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0)) == getFloat16(1, 0x1f, 0));
/* SNaN */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 1)) == getFloat16(0, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 1)) == getFloat16(1, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x3fffff)) == getFloat16(0, 0x1f, 0x1ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x3fffff)) == getFloat16(1, 0x1f, 0x1ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x0003ff)) == getFloat16(0, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x0003ff)) == getFloat16(1, 0x1f, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x123456)) == getFloat16(0, 0x1f, 0x123456 >> 13));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x123456)) == getFloat16(1, 0x1f, 0x123456 >> 13));
/* QNaN */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x400000)) == getFloat16(0, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x400000)) == getFloat16(1, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x7fffff)) == getFloat16(0, 0x1f, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x7fffff)) == getFloat16(1, 0x1f, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x4003ff)) == getFloat16(0, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x4003ff)) == getFloat16(1, 0x1f, 0x200));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0xff, 0x723456)) == getFloat16(0, 0x1f, 0x723456 >> 13));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0xff, 0x723456)) == getFloat16(1, 0x1f, 0x723456 >> 13));
/* Denormalized */
for (idx = 0; idx < 256; ++idx)
{
deUint32 mantissa = deRandom_getUint32(&rnd);
mantissa &= 0x7fffffu; /* Take the last 23 bits */
mantissa |= (mantissa == 0); /* Make sure it is not zero */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 0, mantissa)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 0, mantissa)) == getFloat16(1, 0, 0));
}
/* Normalized -> zero and denormalized */
/* Absolute value: minimal 32-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 1, 0)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 1, 0)) == getFloat16(1, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 42, 0x7abcde)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 42, 0x7abcde)) == getFloat16(1, 0, 0));
for (idx = 0; idx < 256; ++idx)
{
deUint32 exponent = deRandom_getUint32(&rnd);
deUint32 mantissa = deRandom_getUint32(&rnd);
exponent = exponent % (127 - 26) + 1; /* Make sure >= 1, <= 127 - 26 */
mantissa &= 0x7fffffu; /* Take the last 23 bits */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, exponent, mantissa)) == getFloat16(0, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, exponent, mantissa)) == getFloat16(1, 0, 0));
}
/* Absolute value: 2^-25, minimal 16-bit denormalized: 2^-24 */
/* The following six cases need to right shift mantissa (with leading 1) 10 bits --------------------> to here */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 25, 0)) == getFloat16(0, 0, 0)); /* XX XXXX XXXX 1 000 0000 0000 0000 0000 0000 */
/* Take the first 10 bits with RTE ------ 00 0000 0000 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 25, 0)) == getFloat16(1, 0, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 25, 1)) == getFloat16(0, 0, 1)); /* XX XXXX XXXX 1 000 0000 0000 0000 0000 0001 */
/* Take the first 10 bits with RTE ------ 00 0000 0001 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 25, 1)) == getFloat16(1, 0, 1));
/* Absolute value: 2^-24 - e, extremely near minimal 16-bit denormalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 25, 0x7fffff)) == getFloat16(0, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 25, 0x7fffff)) == getFloat16(1, 0, 1));
/* Absolute value: 2^-24, minimal 16-bit denormalized */
/* The following (127 - 24) cases need to right shift mantissa (with leading 1) 9 bits -----------------> to here */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 24, 0)) == getFloat16(0, 0, 1)); /* X XXXX XXXX 1 000 0000 0000 0000 0000 0000 */
/* Take the first 10 bits with RTE ---------- 0 0000 0000 1 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 24, 0)) == getFloat16(1, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 24, 1)) == getFloat16(0, 0, 1)); /* X XXXX XXXX 1 000 0000 0000 0000 0000 0001 */
/* Take the first 10 bits with RTE ---------- 0 0000 0000 1 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 24, 1)) == getFloat16(1, 0, 1));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 24, 0x400000)) == getFloat16(0, 0, 2)); /* X XXXX XXXX 1 100 0000 0000 0000 0000 0000 */
/* Take the first 10 bits with RTE ---------- 0 0000 0000 2 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 24, 0x400000)) == getFloat16(1, 0, 2));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 24, 0x400001)) == getFloat16(0, 0, 2)); /* X XXXX XXXX 1 100 0000 0000 0000 0000 0001 */
/* Take the first 10 bits with RTE ---------- 0 0000 0000 2 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 24, 0x400001)) == getFloat16(1, 0, 2));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 24, 0x4fffff)) == getFloat16(0, 0, 2));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 24, 0x4fffff)) == getFloat16(1, 0, 2));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 20, 0x123456)) == getFloat16(0, 0, 0x12));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 20, 0x123456)) == getFloat16(1, 0, 0x12));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 18, 0x654321)) == getFloat16(0, 0, 0x73));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 18, 0x654321)) == getFloat16(1, 0, 0x73));
/* Absolute value: 2^-14 - 2^-24 = (2 - 2^-9) * 2^-15, maximal 16-bit denormalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 15, 0x7fc000)) == getFloat16(0, 0, 0x3ff)); /* 0x7fc000: 0111 1111 1100 0000 0000 0000 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 15, 0x7fc000)) == getFloat16(1, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 15, 0x7fc000 - 1)) == getFloat16(0, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 15, 0x7fc000 - 1)) == getFloat16(1, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 15, 0x7fc000 + 1)) == getFloat16(0, 0, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 15, 0x7fc000 + 1)) == getFloat16(1, 0, 0x3ff));
/* Normalized -> normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 15, 0x7fe000)) == getFloat16(0, 1, 0)); /* 0x7fe000: 0111 1111 1110 0000 0000 0000 */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 15, 0x7fe000)) == getFloat16(1, 1, 0));
/* Absolute value: (2 - 2^-23) * 2^-15, extremely near 2^-14, minimal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 15, 0x7fffff)) == getFloat16(0, 1, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 15, 0x7fffff)) == getFloat16(1, 1, 0));
/* Absolute value: 2^-14, minimal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 - 14, 0)) == getFloat16(0, 1, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 - 14, 0)) == getFloat16(1, 1, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3fe << 13) + (1 << 12))) == getFloat16(0, 0x1e, 0x3fe));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3fe << 13) + (1 << 12))) == getFloat16(1, 0x1e, 0x3fe));
/* Normalized -> minimal/maximal normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3fe << 13) + (1 << 12) + 1)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3fe << 13) + (1 << 12) + 1)) == getFloat16(1, 0x1e, 0x3ff));
/* Absolute value: 65504 - 2^-23, extremely near maximal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3ff << 13) - 1)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3ff << 13) - 1)) == getFloat16(1, 0x1e, 0x3ff));
/* Absolute value: 65504, maximal 16-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, 0x3ff << 13)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, 0x3ff << 13)) == getFloat16(1, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3ff << 13) + 1)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3ff << 13) + 1)) == getFloat16(1, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3ff << 13) + 0x456)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3ff << 13) + 0x456)) == getFloat16(1, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3ff << 13) + (1 << 12) - 1)) == getFloat16(0, 0x1e, 0x3ff));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3ff << 13) + (1 << 12) - 1)) == getFloat16(1, 0x1e, 0x3ff));
/* Normalized -> Inf */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, (0x3ff << 13) + (1 << 12))) == getFloat16(0, 0x1f, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, (0x3ff << 13) + (1 << 12))) == getFloat16(1, 0x1f, 0));
/* Absolute value: maximal 32-bit normalized */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, 127 + 15, 0x7fffff)) == getFloat16(0, 0x1f, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, 127 + 15, 0x7fffff)) == getFloat16(1, 0x1f, 0));
for (idx = 0; idx < 256; ++idx)
{
deUint32 exponent = deRandom_getUint32(&rnd);
deUint32 mantissa = deRandom_getUint32(&rnd);
exponent = exponent % (0xfe - (127 + 16) + 1) + (127 + 16); /* Make sure >= 127 + 16, <= 0xfe */
mantissa &= 0x7fffffu; /* Take the last 23 bits */
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(0, exponent, mantissa)) == getFloat16(0, 0x1f, 0));
DE_TEST_ASSERT(deFloat32To16RTE(getFloat32(1, exponent, mantissa)) == getFloat16(1, 0x1f, 0));
}
}
DE_END_EXTERN_C