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Float Literals

Plain

Any valid integer constant shown in the previous section is also a valid float constant and can be passed to a value of a float type like f64.

v1 f32 := 123456;
v2 f64 := 123.456E6;
v3 f64 := 1.0E3;
say("$v1 $v2 $v3");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Fractions

Unlike integers, floats may be fractions.

v1 f32 := 123456E-6;
v2 f64 := 123.456E-3;
v3 f64 := 1.0E-3;
say("$v1 $v2 $v3");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Exponents

Exponents to base ten can be added using E, to base two using P, followed by an optional sign + or - and the exponent values.

one_millionth f64 := 1E-6; # 10**(-6)
one_billionth f64 := 1E-12; # 10**(-12)
one_yobibyte f32 := 1.0P80; # 2**80
say("$one_millionth $one_billionth $one_yobibyte");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Overflows

Values that do not fit into the type they are assigned to will cause a compile time error:

v1 f64 := 123.456E39; # ok
v2 f32 := 123.456E39; # error!
v3 f64 := 123.456E300; # ok
v4 f64 := 123.456E309; # error!
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Underflows

An underflow, i.e., a value that is so small that it would be rounded to zero, is considered an error:

v1 f32 := 8E-46; # ok
v2 f32 := 7E-46; # underflow!
v3 f64 := 7E-46; # ok
v4 f64 := 3E-324; # ok
v5 f64 := 2E-324; # underflow!
v6 f64 := 2.5E-324; # ok
v7 f64 := 2.4E-324; # underflow!
say("$v1 $v2 $v3 $v4 $v5 $v6 $v7");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Bases

Just like integer constants, float constants can be given in decimal, binary, octal or hexadecimal representation. A prefix 0d, 0b, 0o or 0x, respectively, selects the base to be used. If no prefix is given, decimal representation using base 10 is used as default. The base can be selected individually for the significand and for the exponent:

min32 f32 := 0x1P-0x95;
min64 f64 := 0x1P-1074;
say("$min32 $min64");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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Types

The type of a float literal that is assigned to a field is inferred from that field. If the field, however, has itself a type that is inferred from the value assigned to it, the type of the float literal is f64. To distinguish floats from integers, a decimal point is required in this case, even if the float literal represents an integer.

v1 := 123; # this is not a float type, but i32!
v2 := 123.456;
v3 := 123.000;
say("{(type_of v1).name} {(type_of v2).name} {(type_of v3).name}");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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When performing calculations with float literals using infix operators, the type of the calculation depends on the left operand:

v1 := 123.0 * 123; # an f64
v2 := 123 * 123.0; # an i32
v3 := 123.0 * 123.0; # an f64
say("{(type_of v1).name} {(type_of v2).name} {(type_of v3).name}");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

To explicitly choose a type for a literal, you place the name of the type in front of it as in f32 1:

v1 := (f32 123.0) * 123; # an f32
v2 := (f64 123) * 123.0; # an f64
v3 := f32 3; # an f32
say("{(type_of v1).name} {(type_of v2).name} {(type_of v3).name}");
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
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When adding the type explicitly before the float literal, you actually call the constructor of that type giving the constant as an argument. All built-in numeric types have a constructor with one argument val that has the same type. Consequently, the type inference mechanism forces that type onto the constant.

last changed: 2024-06-28