Floating-point literal
Floating-point literal defines a compile-time constant whose value is specified in the source file.
Contents |
Syntax
| digit-sequence decimal-exponent suffix (optional) | (1) | ||||||||
digit-sequence
.
decimal-exponent
(optional)
suffix
(optional)
|
(2) | ||||||||
digit-sequence
(optional)
.
digit-sequence
decimal-exponent
(optional)
suffix
(optional)
|
(3) | ||||||||
0x
|
0X
hex-digit-sequence
hex-exponent
suffix
(optional)
|
(4) | (since C++17) | |||||||
0x
|
0X
hex-digit-sequence
.
hex-exponent
suffix
(optional)
|
(5) | (since C++17) | |||||||
0x
|
0X
hex-digit-sequence
(optional)
.
hex-digit-sequence
hex-exponent
suffix
(optional)
|
(6) | (since C++17) | |||||||
decimal-exponent has the form
e
|
E
exponent-sign
(optional)
digit-sequence
|
|||||||||
hex-exponent has the form
p
|
P
exponent-sign
(optional)
digit-sequence
|
(since C++17) | ||||||||
exponent-sign
, if present, is either
+
or
-
suffix
, if present, is one of
f
,
l
,
F
,
L
,
f16
,
f32
,
f64
,
f128
,
bf16
,
F16
,
F32
,
F64
,
F128
,
BF16
(since C++23)
. The suffix determines the type of the floating-point literal:
-
- (no suffix) defines double
-
f Fdefines float -
l Ldefines long double
|
(since C++23) |
|
Optional single quotes ( ' ) may be inserted between the digits as a separator; they are ignored when determining the value of the literal. |
(since C++14) |
Explanation
Decimal scientific notation is used, meaning that the value of the floating-point literal is the significand multiplied by the number 10 raised to the power of decimal-exponent . E.g. the mathematical meaning of 123e4 is 123×10 4 .
|
If the floating literal begins with the character sequence
For a hexadecimal floating literal , the significand is interpreted as a hexadecimal rational number, and the digit-sequence of the exponent is interpreted as the (decimal) integer power of 2 by which the significand has to be scaled.
double
d
=
0x1.4p3
;
|
(since C++17) |
Notes
The hexadecimal floating-point literals were not part of C++ until C++17, although they can be parsed and printed by the I/O functions since C++11: both C++ I/O streams when std::hexfloat is enabled and the C I/O streams: std::printf , std::scanf , etc. See std::strtof for the format description.
| Feature-test macro | Value | Std | Feature |
|---|---|---|---|
__cpp_hex_float
|
201603L
|
(C++17) | Hexadecimal floating literals |
Example
#include <iomanip> #include <iostream> #include <limits> #include <typeinfo> #define OUT(x) '\n' << std::setw(16) << #x << x int main() { std::cout << "Literal" "\t" "Printed value" << std::left << OUT( 58. ) // double << OUT( 4e2 ) // double << OUT( 123.456e-67 ) // double << OUT( 123.456e-67f ) // float, truncated to zero << OUT( .1E4f ) // float << OUT( 0x10.1p0 ) // double << OUT( 0x1p5 ) // double << OUT( 0x1e5 ) // integer literal, not floating-point << OUT( 3.14'15'92 ) // double, single quotes ignored (C++14) << OUT( 1.18e-4932l ) // long double << std::setprecision(39) << OUT( 3.4028234e38f ) // float << OUT( 3.4028234e38 ) // double << OUT( 3.4028234e38l ) // long double << '\n'; static_assert(3.4028234e38f == std::numeric_limits<float>::max()); static_assert(3.4028234e38f == // ends with 4 3.4028235e38f); // ends with 5 static_assert(3.4028234e38 != // ends with 4 3.4028235e38); // ends with 5 // Both floating-point constants below are 3.4028234e38 static_assert(3.4028234e38f != // a float (then promoted to double) 3.4028234e38); // a double }
Possible output:
Literal Printed value 58. 58 4e2 400 123.456e-67 1.23456e-65 123.456e-67f 0 .1E4f 1000 0x10.1p0 16.0625 0x1p5 32 0x1e5 485 3.14'15'92 3.14159 1.18e-4932l 1.18e-4932 3.4028234e38f 340282346638528859811704183484516925440 3.4028234e38 340282339999999992395853996843190976512 3.4028234e38l 340282339999999999995912555211526242304
References
- C++23 standard (ISO/IEC 14882:2024):
-
- 5.13.4 Floating-point literals [lex.fcon]
- C++20 standard (ISO/IEC 14882:2020):
-
- 5.13.4 Floating-point literals [lex.fcon]
- C++17 standard (ISO/IEC 14882:2017):
-
- 5.13.4 Floating literals [lex.fcon]
- C++14 standard (ISO/IEC 14882:2014):
-
- 2.14.4 Floating literals [lex.fcon]
- C++11 standard (ISO/IEC 14882:2011):
-
- 2.14.4 Floating literals [lex.fcon]
- C++98 standard (ISO/IEC 14882:1998):
-
- 2.13.3 Floating literals [lex.fcon]
See also
| user-defined literals (C++11) | literals with user-defined suffix |
|
C documentation
for
Floating constant
|
|