std::ratio_subtract

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Metaprogramming library

Type traits

Type categories

is_void

(C++11)

is_null_pointer

(C++11)(DR*)

is_array (C++11)
is_pointer (C++11)
is_enum (C++11)
is_union (C++11)
is_class (C++11)
is_function (C++11)
is_reference (C++11)

is_object (C++11)
is_scalar (C++11)
is_compound (C++11)
is_integral (C++11)
is_floating_point (C++11)
is_fundamental (C++11)
is_arithmetic (C++11)

is_lvalue_reference

(C++11)

is_rvalue_reference

(C++11)

is_member_pointer

(C++11)

is_member_object_pointer

(C++11)

is_member_function_pointer

(C++11)

Type properties

(C++11)

(C++11)

(C++11)

(C++11)

(C++14)

(C++11)

(C++17)

(C++23)

(C++11)(deprecated in C++26)

is_trivially_copyable

(C++11)

is_standard_layout

(C++11)

is_literal_type

(C++11)(until C++20*)

is_pod

(C++11)(deprecated in C++20)

(C++11)

(C++11)

(C++20)

(C++20)

(C++23)

has_unique_object_representations

(C++17)

Type trait constants

integral_constantbool_constanttrue_typefalse_type

(C++11)(C++17)(C++11)(C++11)

Metafunctions

conjunction

(C++17)

disjunction

(C++17)

negation

(C++17)

Supported operations

is_constructibleis_trivially_constructibleis_nothrow_constructible (C++11)(C++11)(C++11)
is_default_constructibleis_trivially_default_constructibleis_nothrow_default_constructible (C++11)(C++11)(C++11)
is_copy_constructibleis_trivially_copy_constructibleis_nothrow_copy_constructible (C++11)(C++11)(C++11)
is_move_constructibleis_trivially_move_constructibleis_nothrow_move_constructible (C++11)(C++11)(C++11)
is_assignableis_trivially_assignableis_nothrow_assignable (C++11)(C++11)(C++11)

is_copy_assignableis_trivially_copy_assignableis_nothrow_copy_assignable (C++11)(C++11)(C++11)
is_move_assignableis_trivially_move_assignableis_nothrow_move_assignable (C++11)(C++11)(C++11)
is_destructibleis_trivially_destructibleis_nothrow_destructible (C++11)(C++11)(C++11)
has_virtual_destructor (C++11)
is_swappable_withis_swappableis_nothrow_swappable_withis_nothrow_swappable (C++17)(C++17)(C++17)(C++17)

Relationships and property queries

is_same (C++11)
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is_corresponding_member (C++20)
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reference_converts_from_temporary (C++23)

is_base_of (C++11)
is_virtual_base_of (C++26)
alignment_of (C++11)
rank (C++11)
extent (C++11)
is_invocableis_invocable_ris_nothrow_invocableis_nothrow_invocable_r (C++17)(C++17)(C++17)(C++17)

Type modifications

remove_cvremove_constremove_volatile (C++11)(C++11)(C++11)
add_cvadd_constadd_volatile (C++11)(C++11)(C++11)
make_signed (C++11)
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remove_reference (C++11)
add_lvalue_referenceadd_rvalue_reference (C++11)(C++11)
remove_pointer (C++11)
add_pointer (C++11)
remove_extent (C++11)
remove_all_extents (C++11)

Type transformations

aligned_storage (C++11)(deprecated in C++23)
aligned_union (C++11)(deprecated in C++23)
decay (C++11)
remove_cvref (C++20)
result_ofinvoke_result (C++11)(until C++20*)(C++17)

conditional (C++11)
common_type (C++11)
common_reference (C++20)
underlying_type (C++11)
type_identity (C++20)
enable_if (C++11)
void_t (C++17)

Compile-time rational arithmetic

Compile-time integer sequences

integer_sequence

(C++14)

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Compile time rational arithmetic

ratio (C++11)
Arithmetic
ratio_add (C++11)
ratio_subtract (C++11)
ratio_multiply (C++11)
ratio_divide (C++11)
Comparison
ratio_equal (C++11)
ratio_not_equal (C++11)
ratio_less (C++11)
ratio_less_equal (C++11)
ratio_greater (C++11)
ratio_greater_equal (C++11)

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Defined in header`<ratio>`
template<class R1,class R2> using ratio_subtract=/* see below */;		(since C++11)

The alias templatestd::ratio_subtract denotes the result of subtracting two exact rational fractions represented by thestd::ratio specializationsR1 andR2.

The result is astd::ratio specializationstd::ratio<U, V>, such that givenNum== R1::num* R2::den- R2::num* R1::den andDenom== R1::den* R2::den (computed without arithmetic overflow),U isstd::ratio<Num, Denom>::num andV isstd::ratio<Num, Denom>::den.

[edit]Notes

IfU orV is not representable instd::intmax_t, the program is ill-formed. IfNum orDenom is not representable instd::intmax_t, the program is ill-formed unless the implementation yields correct values forU andV.

The above definition requires that the result ofstd::ratio_subtract<R1, R2> be already reduced to lowest terms; for example,std::ratio_subtract<std::ratio<1,2>,std::ratio<1,6>> is the same type asstd::ratio<1,3>.

[edit]Example

Run this code

#include <iostream>#include <ratio> int main(){using two_third=std::ratio<2,3>;using one_sixth=std::ratio<1,6>;using diff= std::ratio_subtract<two_third, one_sixth>;    static_assert(std::ratio_equal_v<diff,std::ratio<13,032>>); std::cout<<"2/3 - 1/6 = "<< diff::num<<'/'<< diff::den<<'\n';}