convert.d

/**
 * Written in the D programming language.
 * This module provides functions to converting different values to const(ubyte)[]
 *
 * Copyright: Copyright Igor Stepanov 2013-2013.
 * License:   <a href="http://www.boost.org/LICENSE_1_0.txt">Boost License 1.0</a>.
 * Authors:   Igor Stepanov
 * Source: $(DRUNTIMESRC core/internal/_convert.d)
 */
module core.internal.convert;

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(ref T val) if(is(Unqual!T == float) || is(Unqual!T == double) || is(Unqual!T == real) ||
                                        is(Unqual!T == ifloat) || is(Unqual!T == idouble) || is(Unqual!T == ireal))
{
    static const(ubyte)[] reverse_(const(ubyte)[] arr)
    {
        ubyte[] buff = new ubyte[arr.length];
        foreach(k, v; arr)
        {
            buff[$-k-1] = v;
        }
        return buff;
    }
    if(__ctfe)
    {
        auto parsed = parse(val);

        ulong mantissa = parsed.mantissa;
        uint exp = parsed.exponent;
        uint sign = parsed.sign;

        ubyte[T.sizeof] buff;
        size_t off_bytes = 0;
        size_t off_bits  = 0;

        for(; off_bytes < FloatTraits!T.MANTISSA/8; ++off_bytes)
        {
            buff[off_bytes] = cast(ubyte)mantissa;
            mantissa >>= 8;
        }
        off_bits = FloatTraits!T.MANTISSA%8;
        buff[off_bytes] = cast(ubyte)mantissa;

        for(size_t i=0; i<FloatTraits!T.EXPONENT/8; ++i)
        {
            ubyte cur_exp = cast(ubyte)exp;
            exp >>= 8;
            buff[off_bytes] |= (cur_exp << off_bits);
            ++off_bytes;
            buff[off_bytes] |= cur_exp >> 8 - off_bits;
        }


        exp <<= 8 - FloatTraits!T.EXPONENT%8 - 1;
        buff[off_bytes] |= exp;
        sign <<= 7;
        buff[off_bytes] |= sign;

        try
        {
            
            version(LittleEndian)
            {
                return buff.dup;
            }
            else
            {
                return reverse_(buff);
            }
        }
        catch
        {
            //dup cannot throw inside CTFE
            assert(0);
        }
    }
    else
    {
        return (cast(const(ubyte)*)&val)[0 .. T.sizeof];
    }
}

@safe pure nothrow
private Float parse(bool is_denormalized = false, T)(T x) if(is(Unqual!T == ifloat) || is(Unqual!T == idouble) || is(Unqual!T == ireal))
{
    return parse(x.im);
}

@safe pure nothrow
private Float parse(bool is_denormalized = false, T:real)(T x_) if(floatFormat!T != FloatFormat.Real80)
{
    Unqual!T x = x_;
    assert(floatFormat!T != FloatFormat.DoubleDouble && floatFormat!T != FloatFormat.Quadruple,
           "doubledouble and quadruple float formats are not supported in CTFE");
    if(x is cast(T)0.0) return FloatTraits!T.ZERO;
    if(x is cast(T)-0.0) return FloatTraits!T.NZERO;
    if(x is T.nan) return FloatTraits!T.NAN;
    if(x is -T.nan) return FloatTraits!T.NNAN;
    if(x is T.infinity || x > T.max) return FloatTraits!T.INF;
    if(x is -T.infinity || x < -T.max) return FloatTraits!T.NINF;

    uint sign = x < 0;
    x = sign ? -x : x;
    int e = binLog2(x);
    real x2 = x;
    uint exp = cast(uint)(e + (2^^(FloatTraits!T.EXPONENT-1) - 1));

    if(!exp)
    {
        if(is_denormalized)
            return Float(0, 0, sign);
        else
            return Float(denormalizedMantissa(x), 0, sign);
    }

    x2 /= binPow2(e);

    static if(!is_denormalized)
        x2 -= 1.0;

    x2 *=  2UL<<(FloatTraits!T.MANTISSA);
    ulong mant = shiftrRound(cast(ulong)x2);
    return Float(mant, exp, sign);
}

@safe pure nothrow
private Float parse(bool _ = false, T:real)(T x_) if(floatFormat!T == FloatFormat.Real80)
{
    Unqual!T x = x_;
    //HACK @@@3632@@@

    if(x == 0.0L)
    {
        real y = 1.0L/x;
        if(y == real.infinity) // -0.0
            return FloatTraits!T.ZERO;
        else
            return FloatTraits!T.NZERO; //0.0
    }

    if(x != x) //HACK: should be if(x is real.nan) and if(x is -real.nan)
    {
        auto y = cast(double)x;
        if(y is double.nan)
            return FloatTraits!T.NAN;
        else
            return FloatTraits!T.NNAN;
    }

    if(x == real.infinity) return FloatTraits!T.INF;
    if(x == -real.infinity) return FloatTraits!T.NINF;

    enum EXPONENT_MED = (2^^(FloatTraits!T.EXPONENT-1) - 1);
    uint sign = x < 0;
    x = sign ? -x : x;

    int e = binLog2(x);
    uint exp = cast(uint)(e + EXPONENT_MED);
    if(!exp)
    {
        return Float(denormalizedMantissa(x), 0, sign);
    }
    int pow = (FloatTraits!T.MANTISSA-1-e);
    x *=  binPow2((pow / EXPONENT_MED)*EXPONENT_MED); //To avoid overflow in 2.0L ^^ pow
    x *=  binPow2(pow % EXPONENT_MED);
    ulong mant = cast(ulong)x;
    return Float(mant, exp, sign);
}

private struct Float
{
    ulong mantissa;
    uint exponent;
    uint sign;
}

private template FloatTraits(T) if(floatFormat!T == FloatFormat.Float)
{
    enum EXPONENT = 8;
    enum MANTISSA = 23;
    enum ZERO     = Float(0, 0, 0);
    enum NZERO    = Float(0, 0, 1);
    enum NAN      = Float(0x400000UL, 0xff, 0);
    enum NNAN     = Float(0x400000UL, 0xff, 1);
    enum INF      = Float(0, 255, 0);
    enum NINF     = Float(0, 255, 1);
}

private template FloatTraits(T) if(floatFormat!T == FloatFormat.Double)
{
    enum EXPONENT = 11;
    enum MANTISSA = 52;
    enum ZERO     = Float(0, 0, 0);
    enum NZERO    = Float(0, 0, 1);
    enum NAN      = Float(0x8000000000000UL, 0x7ff, 0);
    enum NNAN     = Float(0x8000000000000UL, 0x7ff, 1);
    enum INF      = Float(0, 0x7ff, 0);
    enum NINF     = Float(0, 0x7ff, 1);
}

private template FloatTraits(T) if(floatFormat!T == FloatFormat.Real80)
{
    enum EXPONENT = 15;
    enum MANTISSA = 64;
    enum ZERO     = Float(0, 0, 0);
    enum NZERO    = Float(0, 0, 1);
    enum NAN      = Float(0xC000000000000000UL, 0x7fff, 0);
    enum NNAN     = Float(0xC000000000000000UL, 0x7fff, 1);
    enum INF      = Float(0x8000000000000000UL, 0x7fff, 0);
    enum NINF     = Float(0x8000000000000000UL, 0x7fff, 1);
}

private template FloatTraits(T) if(floatFormat!T == FloatFormat.DoubleDouble) //Unsupported in CTFE
{
    enum EXPONENT = 11;
    enum MANTISSA = 106;
    enum ZERO     = Float(0, 0, 0);
    enum NZERO    = Float(0, 0, 1);
    enum NAN      = Float(0x8000000000000UL, 0x7ff, 0);
    enum NNAN     = Float(0x8000000000000UL, 0x7ff, 1);
    enum INF      = Float(0, 0x7ff, 0);
    enum NINF     = Float(0, 0x7ff, 1);
}

private template FloatTraits(T) if(floatFormat!T == FloatFormat.Quadruple) //Unsupported in CTFE
{
    enum EXPONENT = 15;
    enum MANTISSA = 112;
    enum ZERO     = Float(0, 0, 0);
    enum NZERO    = Float(0, 0, 1);
    enum NAN      = Float(-1, 0x7fff, 0);
    enum NNAN     = Float(-1, 0x7fff, 1);
    enum INF      = Float(0, 0x7fff, 0);
    enum NINF     = Float(0, 0x7fff, 1);
}


@safe pure nothrow
private real binPow2(int pow)
{
    static real binPosPow2(int pow) @safe pure nothrow
    {
        assert(pow > 0);

        if(pow == 1) return 2.0L;

        int subpow = pow/2;
        real p = binPosPow2(subpow);
        real ret = p*p;

        if(pow%2)
        {
            ret *= 2.0L;
        }

        return ret;
    }

    if(!pow) return 1.0L;
    if(pow > 0) return binPosPow2(pow);
    return 1.0L/binPosPow2(-pow);
}


//Need in CTFE, because CTFE float and double expressions computed more precisely that run-time expressions.
@safe pure nothrow
private ulong shiftrRound(ulong x)
{
    return (x >> 1) + (x & 1);
}

@safe pure nothrow
private uint binLog2(T)(T x)
{
    assert(x > 0);
    int max = 2 ^^ (FloatTraits!T.EXPONENT-1)-1;
    int min = -max+1;
    int med = (min + max) / 2;

    if(x < T.min_normal) return -max;

    while((max - min) > 1)
    {
        if(binPow2(med) > x)
        {
            max = med;
        }
        else
        {
            min = med;
        }
        med = (min + max) / 2;
    }

    if(x < binPow2(max))
        return min;
    return max;
}

@safe pure nothrow
private ulong denormalizedMantissa(T)(T x) if(floatFormat!T == FloatFormat.Real80)
{
    x *= 2.0L^^FloatTraits!T.MANTISSA;
    auto fl = parse(x);
    uint pow = FloatTraits!T.MANTISSA - fl.exponent + 1;
    return fl.mantissa >> pow;
}

@safe pure nothrow
private ulong denormalizedMantissa(T)(T x) if(floatFormat!T != FloatFormat.Real80)
{
    x *= 2.0L^^FloatTraits!T.MANTISSA;
    auto fl = parse!true(x);
    ulong mant = fl.mantissa >> (FloatTraits!T.MANTISSA - fl.exponent);
    return shiftrRound(mant);
}

version(unittest)
{
    private const(ubyte)[] toUbyte2(T)(T val)
    {
        return toUbyte(val).dup;
    }

    private void testNumberConvert(string v)()
    {
        enum ctval = mixin(v);

        alias TYPE = typeof(ctval);
        auto rtval = ctval;
        auto rtbytes = *cast(ubyte[TYPE.sizeof]*)&rtval;

        enum ctbytes = toUbyte2(ctval);

        assert(rtbytes[] == ctbytes);
    }

    private void testConvert()
    {
        /**Test special values*/
        testNumberConvert!("-float.infinity");
        testNumberConvert!("float.infinity");
        testNumberConvert!("-0.0F");
        testNumberConvert!("0.0F");
        //testNumberConvert!("-float.nan"); //BUG @@@3632@@@
        testNumberConvert!("float.nan");

        testNumberConvert!("-double.infinity");
        testNumberConvert!("double.infinity");
        testNumberConvert!("-0.0");
        testNumberConvert!("0.0");
        //testNumberConvert!("-double.nan"); //BUG @@@3632@@@
        testNumberConvert!("double.nan");

        testNumberConvert!("-real.infinity");
        testNumberConvert!("real.infinity");
        testNumberConvert!("-0.0L");
        testNumberConvert!("0.0L");
        //testNumberConvert!("-real.nan"); //BUG @@@3632@@@
        testNumberConvert!("real.nan");

        /**
            Test min and max values values: min value has an '1' mantissa and minimal exponent,
            Max value has an all '1' bits mantissa and max exponent.
        */
        testNumberConvert!("float.min_normal");
        testNumberConvert!("float.max");
        
        /**Test common values*/
        testNumberConvert!("-0.17F");
        testNumberConvert!("3.14F");
        
        /**Test immutable and const*/
        testNumberConvert!("cast(const)3.14F");
        testNumberConvert!("cast(immutable)3.14F");

        /**The same tests for double and real*/
        testNumberConvert!("double.min_normal");
        testNumberConvert!("double.max");
        testNumberConvert!("-0.17");
        testNumberConvert!("3.14");
        testNumberConvert!("cast(const)3.14");
        testNumberConvert!("cast(immutable)3.14");

        testNumberConvert!("real.min_normal");
        testNumberConvert!("real.max");
        testNumberConvert!("-0.17L");
        testNumberConvert!("3.14L");
        testNumberConvert!("cast(const)3.14L");
        testNumberConvert!("cast(immutable)3.14L");
        
        /**Test denormalized values*/
        
        /**Max denormalized value, first bit is 1*/
        testNumberConvert!("float.min_normal/2");
        /**Min denormalized value, last bit is 1*/
        testNumberConvert!("float.min_normal/2UL^^23");
        
        /**Denormalized values with round*/
        testNumberConvert!("float.min_normal/19");
        testNumberConvert!("float.min_normal/17");

        testNumberConvert!("double.min_normal/2");
        testNumberConvert!("double.min_normal/2UL^^52");
        testNumberConvert!("double.min_normal/19");
        testNumberConvert!("double.min_normal/17");

        testNumberConvert!("real.min_normal/2");
        testNumberConvert!("real.min_normal/2UL^^63");
        testNumberConvert!("real.min_normal/19");
        testNumberConvert!("real.min_normal/17");

        /**Test imaginary values: convert algorithm is same with real values*/
        testNumberConvert!("0.0Fi");
        testNumberConvert!("0.0i");
        testNumberConvert!("0.0Li");

        /**True random values*/
        testNumberConvert!("-0x9.0f7ee55df77618fp-13829L");
        testNumberConvert!("0x7.36e6e2640120d28p+8797L");
        testNumberConvert!("-0x1.05df6ce4702ccf8p+15835L");
        testNumberConvert!("0x9.54bb0d88806f714p-7088L");

        testNumberConvert!("-0x9.0f7ee55df7ffp-338");
        testNumberConvert!("0x7.36e6e264012dp+879");
        testNumberConvert!("-0x1.05df6ce4708ep+658");
        testNumberConvert!("0x9.54bb0d888061p-708");
        
        testNumberConvert!("-0x9.0f7eefp-101F");
        testNumberConvert!("0x7.36e6ep+87F");
        testNumberConvert!("-0x1.05df6p+112F");
        testNumberConvert!("0x9.54bb0p-70F");
        
        /**Big overflow or underflow*/
        testNumberConvert!("cast(double)-0x9.0f7ee55df77618fp-13829L");
        testNumberConvert!("cast(double)0x7.36e6e2640120d28p+8797L");
        testNumberConvert!("cast(double)-0x1.05df6ce4702ccf8p+15835L");
        testNumberConvert!("cast(double)0x9.54bb0d88806f714p-7088L");

        testNumberConvert!("cast(float)-0x9.0f7ee55df77618fp-13829L");
        testNumberConvert!("cast(float)0x7.36e6e2640120d28p+8797L");
        testNumberConvert!("cast(float)-0x1.05df6ce4702ccf8p+15835L");
        testNumberConvert!("cast(float)0x9.54bb0d88806f714p-7088L");
    }


    unittest
    {
        testConvert();
    }
}



private enum FloatFormat
{
    Float,
    Double,
    Real80,
    DoubleDouble,
    Quadruple
}

template floatFormat(T) if(is(T:real) || is(T:ireal))
{
    static if(T.mant_dig == 24)
        enum floatFormat = FloatFormat.Float;
    else static if(T.mant_dig == 53)
        enum floatFormat = FloatFormat.Double;
    else static if(T.mant_dig == 64)
        enum floatFormat = FloatFormat.Real80;
    else static if(T.mant_dig == 106)
        enum floatFormat = FloatFormat.DoubleDouble;
    else static if(T.mant_dig == 113)
        enum floatFormat = FloatFormat.Quadruple;
    else
        static assert(0);
    
}
private template Unqual(T)
{
         static if (is(T U == shared(const U))) alias U Unqual;
    else static if (is(T U ==        const U )) alias U Unqual;
    else static if (is(T U ==    immutable U )) alias U Unqual;
    else static if (is(T U ==        inout U )) alias U Unqual;
    else static if (is(T U ==       shared U )) alias U Unqual;
    else                                        alias T Unqual;
}

//  all toUbyte functions must be evaluable at compile time
@trusted pure nothrow
const(ubyte)[] toUbyte(T)(T[] arr) if (T.sizeof == 1)
{
    return cast(const(ubyte)[])arr;
}

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(T[] arr) if ((is(typeof(toUbyte(arr[0])) == const(ubyte)[]))&&(T.sizeof > 1))
{
    if (__ctfe)
    {
        const(ubyte)[] ret;
        foreach (cur; arr)
        {
            ret ~= toUbyte(cur);
        }
        return ret;
    }
    else
    {
        return (cast(const(ubyte)*)(arr.ptr))[0 .. T.sizeof*arr.length];
    }
}

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(ref T val) if (__traits(isIntegral, T) && !is(T == enum))
{
    static if (T.sizeof == 1)
    {
        if (__ctfe)
        {
            return cast(const(ubyte)[])[val];
        }
        else
        {
            return (cast(const(ubyte)*)(&val))[0 .. T.sizeof];
        }
    }
    else if (__ctfe)
    {
        ubyte[T.sizeof] tmp;
        Unqual!T val_ = val;
        for (size_t i=0; i<T.sizeof; ++i)
        {
            size_t idx;
            version(LittleEndian) idx = i;
            else idx = T.sizeof-i-1;
            tmp[idx] = cast(ubyte)(val_&0xff);
            val_ >>= 8;
        }

        return tmp[];

    }
    else
    {
        return (cast(const(ubyte)*)(&val))[0 .. T.sizeof];
    }
}

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(ref T val) if (is(Unqual!T == cfloat) || is(Unqual!T == cdouble) ||is(Unqual!T == creal))
{
    if (__ctfe)
    {
        auto re = val.re;
        auto im = val.im;
        return (re.toUbyte() ~ im.toUbyte());
    }
    else
    {
        return (cast(const(ubyte)*)&val)[0 .. T.sizeof];
    }
}

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(ref T val) if (is(T == enum) && is(typeof(toUbyte(cast(V)val)) == const(ubyte)[]))
{
    if (__ctfe)
    {
        static if (is(T V == enum)){}
        V e_val = val;
        return toUbyte(e_val);
    }
    else
    {
        return (cast(const(ubyte)*)&val)[0 .. T.sizeof];
    }
}

private bool isNonReference(T)()
{
    static if (is(T == struct) || is(T == union))
    {
        return isNonReferenceStruct!T();
    }
    else static if (__traits(isStaticArray, T))
    {
      return isNonReference!(typeof(T.init[0]))();
    }
    else static if (is(T E == enum))
    {
      return isNonReference!(E)();
    }
    else static if (!__traits(isScalar, T))
    {
        return false;
    }
    else static if (is(T V : V*))
    {
        return false;
    }
    else static if (is(T == function))
    {
        return false;
    }
    else
    {
        return true;
    }
}

private bool isNonReferenceStruct(T)() if (is(T == struct) || is(T == union))
{
    foreach (cur; T.init.tupleof)
    {
        static if (!isNonReference!(typeof(cur))()) return false;
    }

    return true;
}

@trusted pure nothrow
const(ubyte)[] toUbyte(T)(ref T val) if (is(T == struct) || is(T == union))
{
    if (__ctfe)
    {
        ubyte[T.sizeof] bytes;
        foreach (key, cur; val.tupleof)
        {
            alias CUR_TYPE = typeof(cur);
            static if(isNonReference!(CUR_TYPE)())
            {
                bytes[val.tupleof[key].offsetof .. val.tupleof[key].offsetof + cur.sizeof] = toUbyte(cur)[];
            }
            else static if(is(typeof(val.tupleof[key] is null)))
            {
                assert(val.tupleof[key] is null, "Unable to compute byte representation of non-null reference field at compile time");
                //skip, because val bytes are zeros
            }
            else
            {
                //pragma(msg, "is null: ", typeof(CUR_TYPE).stringof);
                assert(0, "Unable to compute byte representation of "~typeof(CUR_TYPE).stringof~" field at compile time");
            }
        }
        return bytes[];
    }
    else
    {
        return (cast(const(ubyte)*)&val)[0 .. T.sizeof];
    }
}