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  1.   8dc392d9c9a694c50977b6a077575459337ab771
  2.   HalfTest
  3.   testBitPatterns.cpp
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#include <testBitPatterns.h>
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#include "half.h"
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#include <float.h>
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#include <iostream>
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#include <string.h>
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#include <assert.h>
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using namespace std;
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namespace {
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bool
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equalBitPatterns (const char *b1, const char *b2)
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{
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    //
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    // Returns true if the characters in zero-terminated string b1
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    // are the same as the charaters in string b2, except for places
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    // where b1 or b2 contains an 'X'.  For example:
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    //
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    //	equalBitPatterns ("100", "100") returns true
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    //	equalBitPatterns ("100", "101") returns false
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    //	equalBitPatterns ("10X", "101") returns true
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    //	equalBitPatterns ("10X", "100") returns true
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    //
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    while (*b1 && *b2)
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    {
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	if (*b1 != *b2 && *b1 != 'X' && *b2 != 'X')
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	    return false;
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	++b1;
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	++b2;
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    }
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    return !(*b1 || *b2);
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}
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void
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testBits (float f, const char bh[19], const char bg[35])
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{
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    half  h (f);
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    float g (h);
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    cout.width (15);
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    cout.precision (8);
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    cout << f << "    ";
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    printBits (cout, f);
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    cout << "    ";
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    printBits (cout, h);
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    cout << '\n';
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    cout.width (15);
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    cout << g << "    ";
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    printBits (cout, g);
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    cout << "\n\n";
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    if (bh || bg)
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    {
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	char ch[19], cg[35];
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	printBits (ch, h);
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	printBits (cg, g);
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	if (!equalBitPatterns (ch, bh))
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	{
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	    cout << "error: expected " << bh << ", got " << ch << endl;
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	    assert (false);
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	}
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	if (!equalBitPatterns (cg, bg))
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	{
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	    cout << "error: expected " << bg << ", got " << cg << endl;
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	    assert (false);
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	}
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    }
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}
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float
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floatPosInfinity ()
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{
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    half::uif x;
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    x.i = 0x7f800000;
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    return x.f;
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}
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float
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floatNegInfinity ()
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{
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    half::uif x;
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    x.i = 0xff800000;
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    return x.f;
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}
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float
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floatPosQNan1 ()
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{
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    half::uif x;
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    x.i = 0x7fffffff;
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    return x.f;
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}
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float
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floatNegQNan1 ()
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{
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    half::uif x;
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    x.i = 0xffffffff;
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    return x.f;
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}
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float
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floatPosQNan2 ()
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{
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    half::uif x;
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    x.i = 0x7fd55555;
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    return x.f;
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}
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float
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floatNegQNan2 ()
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{
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    half::uif x;
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    x.i = 0xffd55555;
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    return x.f;
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}
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} // namespace
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void
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testBitPatterns()
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{
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    cout << "specific bit patterns\n\n";
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    //
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    // Numbers close to 1.0
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    //
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    testBits (1.0f,
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	      "0 01111 0000000000",
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	      "0 01111111 00000000000000000000000");
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    testBits (1.0f + HALF_EPSILON,
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	      "0 01111 0000000001",
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	      "0 01111111 00000000010000000000000");
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    testBits (1.0f + HALF_EPSILON * 0.5f,
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	      "0 01111 0000000000",
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	      "0 01111111 00000000000000000000000");
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    testBits (1.0f+ HALF_EPSILON * 0.4999f,
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	      "0 01111 0000000000",
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	      "0 01111111 00000000000000000000000");
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    testBits (1.0f + HALF_EPSILON * 0.5001f,
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	      "0 01111 0000000001",
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	      "0 01111111 00000000010000000000000");
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    testBits (1.0f + HALF_EPSILON + HALF_EPSILON,
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	      "0 01111 0000000010",
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	      "0 01111111 00000000100000000000000");
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    testBits (1.0f + HALF_EPSILON + HALF_EPSILON * 0.5f,
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	      "0 01111 0000000010",
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	      "0 01111111 00000000100000000000000");
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    testBits (1.0f + HALF_EPSILON + HALF_EPSILON * 0.4999f,
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	      "0 01111 0000000001",
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	      "0 01111111 00000000010000000000000");
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    testBits (1.0f + HALF_EPSILON + HALF_EPSILON * 0.5001f,
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	      "0 01111 0000000010",
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	      "0 01111111 00000000100000000000000");
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    testBits (1.0f - HALF_EPSILON * 0.5f,
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	      "0 01110 1111111111",
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	      "0 01111110 11111111110000000000000");
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    testBits (1.0f - HALF_EPSILON * 0.5f * 0.5f,
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	      "0 01111 0000000000",
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	      "0 01111111 00000000000000000000000");
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    testBits (1.0f - HALF_EPSILON * 0.5f * 0.4999f,
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	      "0 01111 0000000000",
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	      "0 01111111 00000000000000000000000");
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    testBits (1.0f - HALF_EPSILON * 0.5f * 0.5001f,
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	      "0 01110 1111111111",
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	      "0 01111110 11111111110000000000000");
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    //
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    // Numbers close to HALF_MIN
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    //
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    testBits (HALF_MIN,
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	      "0 00000 0000000001",
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	      "0 01100111 00000000000000000000000");
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    testBits (HALF_MIN + HALF_MIN,
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	      "0 00000 0000000010",
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	      "0 01101000 00000000000000000000000");
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    testBits (HALF_MIN + HALF_MIN * 0.5f,
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	      "0 00000 0000000010",
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	      "0 01101000 00000000000000000000000");
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    testBits (HALF_MIN + HALF_MIN * 0.4999f,
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	      "0 00000 0000000001",
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	      "0 01100111 00000000000000000000000");
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    testBits (HALF_MIN + HALF_MIN * 0.5001f,
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	      "0 00000 0000000010",
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	      "0 01101000 00000000000000000000000");
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    testBits (HALF_MIN - HALF_MIN,
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	      "0 00000 0000000000",
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	      "0 00000000 00000000000000000000000");
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    testBits (HALF_MIN - HALF_MIN * 0.5f,
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	      "0 00000 0000000000",
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	      "0 00000000 00000000000000000000000");
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    testBits (HALF_MIN - HALF_MIN * 0.4999f,
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	      "0 00000 0000000001",
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	      "0 01100111 00000000000000000000000");
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    testBits (HALF_MIN - HALF_MIN * 0.5001f,
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	      "0 00000 0000000000",
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	      "0 00000000 00000000000000000000000");
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    //
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    // Numbers close to HALF_NRM_MIN
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    //
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    testBits (HALF_NRM_MIN,
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	      "0 00001 0000000000",
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	      "0 01110001 00000000000000000000000");
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    testBits (HALF_NRM_MIN + HALF_MIN,
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	      "0 00001 0000000001",
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	      "0 01110001 00000000010000000000000");
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    testBits (HALF_NRM_MIN + HALF_MIN * 0.5f,
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	      "0 00001 0000000000",
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	      "0 01110001 00000000000000000000000");
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    testBits (HALF_NRM_MIN + HALF_MIN * 0.4999f,
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	      "0 00001 0000000000",
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	      "0 01110001 00000000000000000000000");
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    testBits (HALF_NRM_MIN + HALF_MIN * 0.5001f,
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	      "0 00001 0000000001",
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	      "0 01110001 00000000010000000000000");
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    testBits (HALF_NRM_MIN - HALF_MIN,
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	      "0 00000 1111111111",
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	      "0 01110000 11111111100000000000000");
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    testBits (HALF_NRM_MIN - HALF_MIN * 0.5f,
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	      "0 00001 0000000000",
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	      "0 01110001 00000000000000000000000");
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    testBits (HALF_NRM_MIN - HALF_MIN * 0.49995f,
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	      "0 00001 0000000000",
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	      "0 01110001 00000000000000000000000");
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    testBits (HALF_NRM_MIN - HALF_MIN * 0.50005f,
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	      "0 00000 1111111111",
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	      "0 01110000 11111111100000000000000");
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    //
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    // Small positive integers and simple decimal fractions
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    //
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    testBits (2,
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	      "0 10000 0000000000",
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	      "0 10000000 00000000000000000000000");
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    testBits (3,
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	      "0 10000 1000000000",
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	      "0 10000000 10000000000000000000000");
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    testBits (10,
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	      "0 10010 0100000000",
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	      "0 10000010 01000000000000000000000");
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    testBits (0.1f,
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	      "0 01011 1001100110",
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	      "0 01111011 10011001100000000000000");
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    testBits (0.2f,
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	      "0 01100 1001100110",
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	      "0 01111100 10011001100000000000000");
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    testBits (0.3f,
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	      "0 01101 0011001101",
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	      "0 01111101 00110011010000000000000");
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    //
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    // Numbers close to HALF_MAX
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    //
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    testBits (HALF_MAX,
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	      "0 11110 1111111111",
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	      "0 10001110 11111111110000000000000");
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    testBits ((1 << HALF_MAX_EXP) * 1.0,
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    testBits ((1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.25f),
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    testBits ((1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.25005f),
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	      "0 11110 1111111111",
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	      "0 10001110 11111111110000000000000");
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    testBits ((1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.24995f),
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    //
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    // Large positive numbers, positive infinity and NANs
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    //
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    testBits (HALF_MAX * HALF_MAX,
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    testBits (FLT_MAX,
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    testBits (floatPosInfinity(),
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	      "0 11111 0000000000",			// +infinity
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	      "0 11111111 00000000000000000000000");	// +infinity
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    testBits (floatPosQNan1(),
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	      "0 11111 1111111111",			// nan
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	      "0 11111111 11111111110000000000000");	// nan
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    testBits (floatPosQNan2(),
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	      "0 11111 1010101010",			// nan
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	      "0 11111111 10101010100000000000000");	// nan
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    //
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    // Numbers close to -1.0
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    //
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    testBits (-1.0,
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	      "1 01111 0000000000",
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	      "1 01111111 00000000000000000000000");
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    testBits (-(1.0f + HALF_EPSILON),
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	      "1 01111 0000000001",
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	      "1 01111111 00000000010000000000000");
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    testBits (-(1.0f + HALF_EPSILON * 0.5f),
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	      "1 01111 0000000000",
Packit 8dc392 
	      "1 01111111 00000000000000000000000");
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    testBits (-(1.0f + HALF_EPSILON * 0.4999f),
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	      "1 01111 0000000000",
Packit 8dc392 
	      "1 01111111 00000000000000000000000");
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    testBits (-(1.0f + HALF_EPSILON * 0.5001f),
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	      "1 01111 0000000001",
Packit 8dc392 
	      "1 01111111 00000000010000000000000");
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    testBits (-(1.0f + HALF_EPSILON + HALF_EPSILON),
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	      "1 01111 0000000010",
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	      "1 01111111 00000000100000000000000");
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    testBits (-(1.0f + HALF_EPSILON + HALF_EPSILON * 0.5f),
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	      "1 01111 0000000010",
Packit 8dc392 
	      "1 01111111 00000000100000000000000");
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    testBits (-(1.0f + HALF_EPSILON + HALF_EPSILON * 0.4999f),
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	      "1 01111 0000000001",
Packit 8dc392 
	      "1 01111111 00000000010000000000000");
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    testBits (-(1.0f + HALF_EPSILON + HALF_EPSILON * 0.5001f),
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	      "1 01111 0000000010",
Packit 8dc392 
	      "1 01111111 00000000100000000000000");
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    testBits (-(1.0f - HALF_EPSILON * 0.5f),
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	      "1 01110 1111111111",
Packit 8dc392 
	      "1 01111110 11111111110000000000000");
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    testBits (-(1.0f - HALF_EPSILON * 0.5f * 0.5f),
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	      "1 01111 0000000000",
Packit 8dc392 
	      "1 01111111 00000000000000000000000");
Packit 8dc392 
    testBits (-(1.0f - HALF_EPSILON * 0.5f * 0.4999f),
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	      "1 01111 0000000000",
Packit 8dc392 
	      "1 01111111 00000000000000000000000");
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    testBits (-(1.0f - HALF_EPSILON * 0.5f * 0.5001f),
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	      "1 01110 1111111111",
Packit 8dc392 
	      "1 01111110 11111111110000000000000");
Packit 8dc392
Packit 8dc392 
    //
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    // Numbers close to -HALF_MIN
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    //
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    testBits (-HALF_MIN,
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	      "1 00000 0000000001",
Packit 8dc392 
	      "1 01100111 00000000000000000000000");
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    testBits (-(HALF_MIN + HALF_MIN),
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	      "1 00000 0000000010",
Packit 8dc392 
	      "1 01101000 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN + HALF_MIN * 0.5f),
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	      "1 00000 0000000010",
Packit 8dc392 
	      "1 01101000 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN + HALF_MIN * 0.4999f),
Packit 8dc392 
	      "1 00000 0000000001",
Packit 8dc392 
	      "1 01100111 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN + HALF_MIN * 0.5001f),
Packit 8dc392 
	      "1 00000 0000000010",
Packit 8dc392 
	      "1 01101000 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN - HALF_MIN),
Packit 8dc392 
	      "X 00000 0000000000",
Packit 8dc392 
	      "X 00000000 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN - HALF_MIN * 0.5f),
Packit 8dc392 
	      "1 00000 0000000000",
Packit 8dc392 
	      "1 00000000 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN - HALF_MIN * 0.4999f),
Packit 8dc392 
	      "1 00000 0000000001",
Packit 8dc392 
	      "1 01100111 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_MIN - HALF_MIN * 0.5001f),
Packit 8dc392 
	      "1 00000 0000000000",
Packit 8dc392 
	      "1 00000000 00000000000000000000000");
Packit 8dc392
Packit 8dc392 
    //
Packit 8dc392 
    // Numbers close to -HALF_NRM_MIN
Packit 8dc392 
    //
Packit 8dc392
Packit 8dc392 
    testBits (-HALF_NRM_MIN,
Packit 8dc392 
	      "1 00001 0000000000",
Packit 8dc392 
	      "1 01110001 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN + HALF_MIN),
Packit 8dc392 
	      "1 00001 0000000001",
Packit 8dc392 
	      "1 01110001 00000000010000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN + HALF_MIN * 0.5f),
Packit 8dc392 
	      "1 00001 0000000000",
Packit 8dc392 
	      "1 01110001 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN + HALF_MIN * 0.4999f),
Packit 8dc392 
	      "1 00001 0000000000",
Packit 8dc392 
	      "1 01110001 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN + HALF_MIN * 0.5001f),
Packit 8dc392 
	      "1 00001 0000000001",
Packit 8dc392 
	      "1 01110001 00000000010000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN - HALF_MIN),
Packit 8dc392 
	      "1 00000 1111111111",
Packit 8dc392 
	      "1 01110000 11111111100000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN - HALF_MIN * 0.5f),
Packit 8dc392 
	      "1 00001 0000000000",
Packit 8dc392 
	      "1 01110001 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN - HALF_MIN * 0.49995f),
Packit 8dc392 
	      "1 00001 0000000000",
Packit 8dc392 
	      "1 01110001 00000000000000000000000");
Packit 8dc392 
    testBits (-(HALF_NRM_MIN - HALF_MIN * 0.50005f),
Packit 8dc392 
	      "1 00000 1111111111",
Packit 8dc392 
	      "1 01110000 11111111100000000000000");
Packit 8dc392
Packit 8dc392 
    //
Packit 8dc392 
    // Small negative integers and simple decimal fractions
Packit 8dc392 
    //
Packit 8dc392
Packit 8dc392 
    testBits (-2,
Packit 8dc392 
	      "1 10000 0000000000",
Packit 8dc392 
	      "1 10000000 00000000000000000000000");
Packit 8dc392 
    testBits (-3,
Packit 8dc392 
	      "1 10000 1000000000",
Packit 8dc392 
	      "1 10000000 10000000000000000000000");
Packit 8dc392 
    testBits (-10,
Packit 8dc392 
	      "1 10010 0100000000",
Packit 8dc392 
	      "1 10000010 01000000000000000000000");
Packit 8dc392 
    testBits (-0.1f,
Packit 8dc392 
	      "1 01011 1001100110",
Packit 8dc392 
	      "1 01111011 10011001100000000000000");
Packit 8dc392 
    testBits (-0.2f,
Packit 8dc392 
	      "1 01100 1001100110",
Packit 8dc392 
	      "1 01111100 10011001100000000000000");
Packit 8dc392 
    testBits (-0.3f,
Packit 8dc392 
	      "1 01101 0011001101",
Packit 8dc392 
	      "1 01111101 00110011010000000000000");
Packit 8dc392
Packit 8dc392 
    //
Packit 8dc392 
    // Numbers close to -HALF_MAX
Packit 8dc392 
    //
Packit 8dc392
Packit 8dc392 
    testBits (-HALF_MAX,
Packit 8dc392 
	      "1 11110 1111111111",
Packit 8dc392 
	      "1 10001110 11111111110000000000000");
Packit 8dc392 
    testBits (-(1 << HALF_MAX_EXP) * 1.0f,
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392 
    testBits (-(1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.25f),
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392 
    testBits (-(1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.25005f),
Packit 8dc392 
	      "1 11110 1111111111",
Packit 8dc392 
	      "1 10001110 11111111110000000000000");
Packit 8dc392 
    testBits (-(1 << HALF_MAX_EXP) * (1.0f - HALF_EPSILON * 0.24995f),
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392
Packit 8dc392 
    //
Packit 8dc392 
    // Large negative numbers, negative infinity and NANs
Packit 8dc392 
    //
Packit 8dc392
Packit 8dc392 
    testBits (-HALF_MAX * HALF_MAX,
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392 
    testBits (-FLT_MAX,
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392 
    testBits (floatNegInfinity(),
Packit 8dc392 
	      "1 11111 0000000000",			// +infinity
Packit 8dc392 
	      "1 11111111 00000000000000000000000");	// +infinity
Packit 8dc392 
    testBits (floatNegQNan1(),
Packit 8dc392 
	      "1 11111 1111111111",			// nan
Packit 8dc392 
	      "1 11111111 11111111110000000000000");	// nan
Packit 8dc392 
    testBits (floatNegQNan2(),
Packit 8dc392 
	      "1 11111 1010101010",			// nan
Packit 8dc392 
	      "1 11111111 10101010100000000000000");	// nan
Packit 8dc392
Packit 8dc392 
    cout << "ok\n\n" << flush;
Packit 8dc392 
}

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