ldmc/morphisms/real.morphism-base

```
#include <stdio.h>
```

morph_real_as_decimalstr_to_float ()
    ℝ ~ <PosInt 10 BigEndian> ~ <Seq~<ValueTerminated 0> <Digit 10>~Char~Ascii~native.UInt8>
--> ℝ ~ native.Float
```
    sscanf(src, "%f", dst);
    return 0;
```

morph_real_as_decimalstr_to_double ()
    ℝ ~ <PosInt 10 BigEndian> ~ <Seq~<ValueTerminated 0> <Digit 10>~Char~Ascii~native.UInt8>
--> ℝ ~ native.Double
```
    sscanf(src, "%lf", dst);
    return 0;
```

morph_real_as_float_to_decimalstr ()
    ℝ ~ native.Float
--> ℝ ~ <PosInt 10 BigEndian> ~ <Seq~<ValueTerminated 0> <Digit 10>~Char~Ascii~native.UInt8>
```
    sprintf(dst, "%f", *src);
    return 0;
```

morph_real_as_double_to_decimalstr ()
    ℝ ~ native.Double
--> ℝ ~ <PosInt 10 BigEndian> ~ <Seq~<ValueTerminated 0> <Digit 10>~Char~Ascii~native.UInt8>
```
    sprintf(dst, "%f", *src);
    return 0;
```


morph_real_as_float_to_double ()
    ℝ ~ native.Float
--> ℝ ~ native.Double
```
    *dst = *src;
    return 0;
```

morph_real_as_double_to_float ()
    ℝ ~ native.Double
--> ℝ ~ native.Float
```
    fprintf(stderr, "Warning: morphin Double -> Float. Precision loss!");
    *dst = *src;
    return 0;
```

morph_real_as_u64_to_float ()
    ℝ ~ ℕ ~ native.UInt64
--> ℝ ~ native.Float
```
    fprintf(stderr, "Warning: morphin UInt64 -> Float. Precision loss!");
    *dst = *src;
    return 0;
```

morph_real_as_u64_to_double ()
    ℝ ~ ℕ ~ native.UInt64
--> ℝ ~ native.Double
```
    fprintf(stderr, "Warning: morphin UInt64 -> Double. Precision loss!");
    *dst = *src;
    return 0;
```

morph_real_as_quantized_linear_to_float (Begin: ℝ, End: ℝ, Steps: ℤ)
    ℝ ~ <QuantizedLinear Begin End Steps> ~ ℕ ~ native.UInt64
--> ℝ ~ native.Float
```
    *dst = (float)Begin  +  ( *src * ((float)End - (float)Begin) ) / (float)Steps;
    return 0;
```

morph_real_as_float_to_quantized_linear (Begin: ℝ, End: ℝ, Steps: ℤ)
    ℝ ~ native.Float
--> ℝ ~ <QuantizedLinear Begin End Steps> ~ ℕ ~ native.UInt64
```
    *dst = ((*src - (float)Begin) * (float)Steps) / ((float)End - (float)Begin);
    return 0;
```



morph_real_as_quantized_linear_to_double (Begin: ℝ, End: ℝ, Steps: ℤ)
    ℝ ~ <QuantizedLinear Begin End Steps> ~ ℕ ~ native.UInt64
--> ℝ ~ native.Double
```
    *dst = (double)Begin  +  ( *src * ((double)End - (double)Begin) ) / (double)Steps;
    return 0;
```

morph_real_as_double_to_quantized_linear (Begin: ℝ, End: ℝ, Steps: ℤ)
    ℝ ~ native.Double
--> ℝ ~ <QuantizedLinear Begin End Steps> ~ ℕ ~ native.UInt64
```
    *dst = ((*src - (double)Begin) * (double)Steps) / ((double)End - (double)Begin);
    return 0;
```