From b681c9b925dd6276a84d9b423f81e5f54003f470 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 09:50:11 -0500 Subject: [PATCH 1/7] Add example of safe numbers vs safe numerics --- examples/safe_numerics_comparison.cpp | 277 ++++++++++++++++++++++++++ test/Jamfile | 1 + 2 files changed, 278 insertions(+) create mode 100644 examples/safe_numerics_comparison.cpp diff --git a/examples/safe_numerics_comparison.cpp b/examples/safe_numerics_comparison.cpp new file mode 100644 index 0000000..cae4804 --- /dev/null +++ b/examples/safe_numerics_comparison.cpp @@ -0,0 +1,277 @@ +// Copyright 2026 Matt Borland +// Distributed under the Boost Software License, Version 1.0. +// https://www.boost.org/LICENSE_1_0.txt + +// This example compares the behavior of Boost.SafeNumbers unsigned integer +// types against Boost.SafeNumerics for common unsigned arithmetic scenarios. +// +// Key differences: +// 1. SafeNumbers always operates at the declared width - u8 + u8 stays u8. +// SafeNumerics with the default "native" promotion policy follows C++ +// integer promotion rules, so safe + safe silently +// promotes to int. This means many overflow cases go undetected. +// 2. SafeNumbers requires explicit construction and forbids implicit +// conversions; SafeNumerics allows implicit construction from built-ins. +// 3. SafeNumbers provides named free functions for alternative overflow +// policies (wrapping_add, saturating_sub, checked_mul, etc.); +// SafeNumerics selects behavior via template policy parameters on the type. +// 4. SafeNumbers forbids mixed-width arithmetic at compile time; +// SafeNumerics promotes operands using C++ native promotion rules. +// 5. SafeNumbers forbids unary minus on unsigned types at compile time; +// SafeNumerics promotes and allows it silently. + +#include +#include +#include + +#include +#include + +int main() +{ + namespace safe_num = boost::safe_numbers; + namespace safe_nrc = boost::safe_numerics; + + // ----------------------------------------------------------------------- + // 1. Construction + // ----------------------------------------------------------------------- + std::cout << "--- Construction ---\n"; + + // SafeNumbers: explicit construction only + { + const auto x = safe_num::u8{200U}; + std::cout << "safe_numbers explicit: u8{200} = " << x << std::endl; + } + + // SafeNumerics: implicit construction from built-in types is allowed + { + safe_nrc::safe x = 200; + std::cout << "safe_numerics implicit: u8 = 200 -> " + << static_cast(x) << std::endl; + } + + // SafeNumbers forbids construction from bool (compile error): + // safe_num::u8 from_bool{true}; // static_assert failure + + // SafeNumerics allows it: + { + safe_nrc::safe from_bool = true; // OK, value is 1 + std::cout << "safe_numerics from bool: " << static_cast(from_bool) << std::endl; + } + + // ----------------------------------------------------------------------- + // 2. Overflow detection - the critical difference + // ----------------------------------------------------------------------- + // SafeNumbers always operates at the declared width. + // SafeNumerics with "native" policy follows C++ integer promotion: + // safe + safe promotes to int, so 255 + 1 = 256 + // which fits in int - NO exception is thrown! + std::cout << "\n--- Overflow on addition ---\n"; + + // SafeNumbers: u8 + u8 stays u8, 255 + 1 overflows -> throws + try + { + const auto result = safe_num::u8{255U} + safe_num::u8{1U}; + std::cout << "safe_numbers: " << result << std::endl; + } + catch (const std::overflow_error& e) + { + std::cout << "safe_numbers threw: " << e.what() << std::endl; + } + + // SafeNumerics: uint8_t promotes to int, so 255 + 1 = 256, no overflow + try + { + safe_nrc::safe x = 255; + safe_nrc::safe y = 1; + auto result = x + y; // result is safe with value 256 + std::cout << "safe_numerics: " << static_cast(result) << std::endl; + // Output: 256 (promoted to int, no overflow detected!) + } + catch (const std::exception& e) + { + std::cout << "safe_numerics threw: " << e.what() << std::endl; + } + + // ----------------------------------------------------------------------- + // 3. Underflow detection on subtraction + // ----------------------------------------------------------------------- + // Same promotion issue: 0u8 - 1u8 promotes to int, giving -1 + std::cout << "\n--- Underflow on subtraction ---\n"; + + // SafeNumbers: u8 - u8 stays u8, 0 - 1 underflows -> throws + try + { + const auto result = safe_num::u8{0U} - safe_num::u8{1U}; + std::cout << "safe_numbers: " << result << std::endl; + } + catch (const std::underflow_error& e) + { + std::cout << "safe_numbers threw: " << e.what() << std::endl; + } + + // SafeNumerics: uint8_t promotes to int, so 0 - 1 = -1, no underflow + try + { + safe_nrc::safe x = 0; + safe_nrc::safe y = 1; + auto result = x - y; // result is safe with value -1 + std::cout << "safe_numerics: " << static_cast(result) << std::endl; + // Output: -1 (promoted to int, no underflow detected!) + } + catch (const std::exception& e) + { + std::cout << "safe_numerics threw: " << e.what() << std::endl; + } + + // ----------------------------------------------------------------------- + // 4. Alternative overflow policies (SafeNumbers only) + // ----------------------------------------------------------------------- + // SafeNumbers provides named free functions for each policy. + // SafeNumerics has no equivalent - behavior is fixed at the type level. + std::cout << "\n--- Alternative policies (SafeNumbers) ---\n"; + + { + const auto x = safe_num::u8{250U}; + const auto y = safe_num::u8{10U}; + + // Wrapping: modular arithmetic like built-in unsigned + const auto wrapped = safe_num::wrapping_add(x, y); + std::cout << "wrapping_add(250, 10) = " << wrapped << std::endl; + // Output: 4 + + // Saturating: clamp at the max/min boundary + const auto saturated = safe_num::saturating_add(x, y); + std::cout << "saturating_add(250, 10) = " << saturated << std::endl; + // Output: 255 + + // Checked: returns std::optional (nullopt on overflow) + const auto checked = safe_num::checked_add(x, y); + std::cout << "checked_add(250, 10) = " + << (checked.has_value() ? "value" : "nullopt") << std::endl; + // Output: nullopt + + // Overflowing: returns {result, overflowed_flag} + const auto [val, overflowed] = safe_num::overflowing_add(x, y); + std::cout << "overflowing_add(250, 10) = {" << val + << ", " << (overflowed ? "true" : "false") << "}" << std::endl; + // Output: {4, true} + } + + // ----------------------------------------------------------------------- + // 5. Mixed-width arithmetic + // ----------------------------------------------------------------------- + std::cout << "\n--- Mixed-width arithmetic ---\n"; + + // SafeNumbers: mixed-width operations are a compile-time error + // safe_num::u8{1U} + safe_num::u32{2U}; // fails with static_assert + + // SafeNumerics: mixed-width operations are allowed with C++ promotion rules + { + safe_nrc::safe x = 200; + safe_nrc::safe y = 100; + auto result = x + y; // promoted to safe + std::cout << "safe_numerics mixed: u8(200) + u32(100) = " + << static_cast(result) << std::endl; + // Output: 300 + } + + // SafeNumbers requires explicit conversion to the same type first: + { + const auto x = safe_num::u8{200U}; + const auto y = safe_num::u32{100U}; + // Convert x to u32 explicitly, then add + const auto result = safe_num::u32{static_cast(x)} + y; + std::cout << "safe_numbers explicit: u32(u8(200)) + u32(100) = " + << result << std::endl; + // Output: 300 + } + + // ----------------------------------------------------------------------- + // 6. Mixed safe/built-in arithmetic + // ----------------------------------------------------------------------- + std::cout << "\n--- Mixed safe/built-in arithmetic ---\n"; + + // SafeNumerics: safe can operate directly with built-in types + { + safe_nrc::safe x = 200; + auto result = x + 100; // int operand is implicitly accepted + std::cout << "safe_numerics: safe(200) + 100 = " + << static_cast(result) << std::endl; + // Output: 300 + } + + // SafeNumbers: mixing safe types with built-in types is a compile-time error + // safe_num::u8{200U} + 100; // error: no matching operator+ + // safe_num::u8{200U} + std::uint8_t{100}; // error: no matching operator+ + + // ----------------------------------------------------------------------- + // 7. Unary minus on unsigned types + // ----------------------------------------------------------------------- + // SafeNumbers: unary minus is a compile-time error via static_assert + // auto neg = -safe_num::u8{5U}; // static_assert: "Unary minus is deliberately + // // disabled for unsigned safe integers" + + // SafeNumerics: unary minus promotes uint8_t to int, so -5 is valid + std::cout << "\n--- Unary minus on unsigned ---\n"; + try + { + safe_nrc::safe x = 5; + auto result = -x; // promoted to safe, value is -5 + std::cout << "safe_numerics: -5u = " << static_cast(result) << std::endl; + // Output: -5 (promoted to int, no error!) + } + catch (const std::exception& e) + { + std::cout << "safe_numerics threw on unary minus: " << e.what() << std::endl; + } + + // ----------------------------------------------------------------------- + // 8. Narrowing conversions + // ----------------------------------------------------------------------- + // Both libraries catch narrowing - this is where SafeNumerics' promotion + // would eventually trigger an error (when assigning the promoted result + // back to a narrow type). + std::cout << "\n--- Narrowing conversions ---\n"; + + // SafeNumbers: explicit cast throws std::domain_error if value doesn't fit + try + { + const auto wide = safe_num::u32{300U}; + const auto narrow = static_cast(wide); + std::cout << "safe_numbers: u32(300) -> u8 = " + << static_cast(narrow) << std::endl; + } + catch (const std::domain_error& e) + { + std::cout << "safe_numbers narrowing threw: " << e.what() << std::endl; + } + + // SafeNumerics: implicit narrowing throws + try + { + safe_nrc::safe wide = 300; + safe_nrc::safe narrow = wide; + std::cout << "safe_numerics implicit: u32(300) -> u8 = " + << static_cast(narrow) << std::endl; + } + catch (const std::exception& e) + { + std::cout << "safe_numerics implicit narrowing threw: " << e.what() << std::endl; + } + + // SafeNumerics: explicit narrowing via static_cast also throws + try + { + safe_nrc::safe wide = 300; + auto narrow = static_cast>(wide); + std::cout << "safe_numerics explicit: u32(300) -> u8 = " + << static_cast(narrow) << std::endl; + } + catch (const std::exception& e) + { + std::cout << "safe_numerics explicit narrowing threw: " << e.what() << std::endl; + } + + return 0; +} diff --git a/test/Jamfile b/test/Jamfile index a6a7c6b..d38f77c 100644 --- a/test/Jamfile +++ b/test/Jamfile @@ -169,3 +169,4 @@ run ../examples/verified_arithmetic.cpp ; run ../examples/verified_runtime_usage.cpp ; run ../examples/verified_mixed_ops.cpp ; compile-fail ../examples/compile_fail_verified_overflow.cpp ; +run ../examples/safe_numerics_comparison.cpp ; From 14dd90c289da0d737105eb1e54b3035d2e51ff91 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 09:50:21 -0500 Subject: [PATCH 2/7] Add doc page inlining the example --- doc/modules/ROOT/nav.adoc | 1 + doc/modules/ROOT/pages/comparisons.adoc | 99 +++++++++++++++++++++++++ 2 files changed, 100 insertions(+) create mode 100644 doc/modules/ROOT/pages/comparisons.adoc diff --git a/doc/modules/ROOT/nav.adoc b/doc/modules/ROOT/nav.adoc index 5d510c5..93d9543 100644 --- a/doc/modules/ROOT/nav.adoc +++ b/doc/modules/ROOT/nav.adoc @@ -34,4 +34,5 @@ * xref:charconv.adoc[] * xref:bit.adoc[] * xref:integer_utilities.adoc[] +* xref:comparisons.adoc[] * xref:reference.adoc[] diff --git a/doc/modules/ROOT/pages/comparisons.adoc b/doc/modules/ROOT/pages/comparisons.adoc new file mode 100644 index 0000000..74654fc --- /dev/null +++ b/doc/modules/ROOT/pages/comparisons.adoc @@ -0,0 +1,99 @@ +//// +Copyright 2026 Matt Borland +Distributed under the Boost Software License, Version 1.0. +https://www.boost.org/LICENSE_1_0.txt +//// + +[#comparisons] += Comparison with Boost.SafeNumerics + +Boost.SafeNumbers and Boost.SafeNumerics both aim to make integer arithmetic safer, but they differ substantially in philosophy and behavior. +This page summarizes the key differences and provides a runnable example demonstrating each one. + +== Key Differences + +[cols="1,1,1", options="header"] +|=== +| Feature +| Boost.SafeNumbers +| Boost.SafeNumerics + +| *Default overflow behavior* +| Throws `std::overflow_error` / `std::underflow_error` immediately at the declared width. +| With the default `native` promotion policy, operands are promoted following C++ integer promotion rules. For small types like `uint8_t`, this means overflow is absorbed silently (e.g. `safe(255) + safe(1)` produces 256 as an `int`). + +| *Construction* +| Explicit only. Construction from `bool` is a compile-time error. +| Implicit construction from built-in types is allowed, including from `bool`. + +| *Overflow policies* +| Named free functions per-operation: `wrapping_add`, `saturating_sub`, `checked_mul`, `overflowing_div`, etc. The default operator always throws. +| Policy is selected as a template parameter on the type itself (`safe`). No per-operation policy functions. + +| *Mixed-width arithmetic* +| Compile-time error. Both operands must be the same type. +| Allowed. Operands are promoted following C++ rules. + +| *Mixed safe/built-in arithmetic* +| Compile-time error. Built-in types cannot be used as operands with safe types. +| Allowed. The built-in operand is implicitly accepted. + +| *Unary minus on unsigned* +| Compile-time error via `static_assert`. +| Allowed with `native` promotion: promotes to signed `int` and negates (e.g. `-safe(5)` produces `-5`). + +| *Narrowing conversions* +| Explicit `static_cast` required. Throws `std::domain_error` if the value does not fit. +| Both implicit and explicit narrowing throw `std::system_error` if the value does not fit. + +| *C++ standard required* +| C++20 +| C++14 +|=== + +== Runnable Example + +.This https://github.com/boostorg/safe_numbers/blob/develop/examples/safe_numerics_comparison.cpp[example] demonstrates each of the differences listed above side-by-side. +==== +[source, c++] +---- +include::example$safe_numerics_comparison.cpp[] +---- + +Output: +---- +--- Construction --- +safe_numbers explicit: u8{200} = 200 +safe_numerics implicit: u8 = 200 -> 200 +safe_numerics from bool: 1 + +--- Overflow on addition --- +safe_numbers threw: Overflow detected in unsigned addition +safe_numerics: 256 + +--- Underflow on subtraction --- +safe_numbers threw: Underflow detected in unsigned subtraction +safe_numerics: -1 + +--- Alternative policies (SafeNumbers) --- +wrapping_add(250, 10) = 4 +saturating_add(250, 10) = 255 +checked_add(250, 10) = nullopt +overflowing_add(250, 10) = {4, true} + +--- Mixed-width arithmetic --- +safe_numerics mixed: u8(200) + u32(100) = 300 +safe_numbers explicit: u32(u8(200)) + u32(100) = 300 + +--- Mixed safe/built-in arithmetic --- +safe_numerics: safe(200) + 100 = 300 + +--- Unary minus on unsigned --- +safe_numerics: -5u = -5 + +--- Narrowing conversions --- +safe_numbers narrowing threw: Overflow in conversion to smaller type +safe_numerics implicit narrowing threw: converted unsigned value too large: positive overflow error +safe_numerics explicit narrowing threw: converted unsigned value too large: positive overflow error +---- +==== From 9b931512f617a61c44d528f1b27624754be7977e Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 10:09:21 -0500 Subject: [PATCH 3/7] Add range arithmetic example --- doc/modules/ROOT/pages/comparisons.adoc | 12 ++++ examples/safe_numerics_comparison.cpp | 74 +++++++++++++++++++++++++ 2 files changed, 86 insertions(+) diff --git a/doc/modules/ROOT/pages/comparisons.adoc b/doc/modules/ROOT/pages/comparisons.adoc index 74654fc..cb08c40 100644 --- a/doc/modules/ROOT/pages/comparisons.adoc +++ b/doc/modules/ROOT/pages/comparisons.adoc @@ -46,6 +46,10 @@ This page summarizes the key differences and provides a runnable example demonst | Explicit `static_cast` required. Throws `std::domain_error` if the value does not fit. | Both implicit and explicit narrowing throw `std::system_error` if the value does not fit. +| *Bounded / range-constrained types* +| `bounded_uint` enforces bounds on every arithmetic result. `60 + 50` on a `[0, 100]` range throws immediately. +| `safe_unsigned_range` only enforces bounds on construction and assignment. Arithmetic results are promoted and can silently exceed the declared range (e.g. `60 + 50 = 110` on a `[0, 100]` range succeeds). + | *C++ standard required* | C++20 | C++14 @@ -95,5 +99,13 @@ safe_numerics: -5u = -5 safe_numbers narrowing threw: Overflow in conversion to smaller type safe_numerics implicit narrowing threw: converted unsigned value too large: positive overflow error safe_numerics explicit narrowing threw: converted unsigned value too large: positive overflow error + +--- Bounded / range-constrained types --- +safe_numbers bounded(150) threw: Construction from value outside the bounds +safe_numerics range(150) threw: converted signed value too large: positive overflow error +safe_numbers bounded: 60 + 30 = 90 +safe_numerics range: 60 + 30 = 90 +safe_numbers bounded 60+50 threw: Construction from value outside the bounds +safe_numerics range: 60 + 50 = 110 ---- ==== diff --git a/examples/safe_numerics_comparison.cpp b/examples/safe_numerics_comparison.cpp index cae4804..5ae45ea 100644 --- a/examples/safe_numerics_comparison.cpp +++ b/examples/safe_numerics_comparison.cpp @@ -21,8 +21,10 @@ // SafeNumerics promotes and allows it silently. #include +#include #include #include +#include #include #include @@ -273,5 +275,77 @@ int main() std::cout << "safe_numerics explicit narrowing threw: " << e.what() << std::endl; } + // ----------------------------------------------------------------------- + // 9. Bounded / range-constrained types + // ----------------------------------------------------------------------- + // Both libraries provide types constrained to a compile-time range. + // SafeNumbers: bounded_uint + // SafeNumerics: safe_unsigned_range + // + // Critical difference: SafeNumbers enforces bounds on every arithmetic + // result. SafeNumerics only enforces bounds on construction/assignment + // back to the range type - the promoted result of arithmetic can exceed + // the declared range silently. + std::cout << "\n--- Bounded / range-constrained types ---\n"; + + using percent_sn = safe_num::bounded_uint<0U, 100U>; + using percent_snr = safe_nrc::safe_unsigned_range<0, 100>; + + // Both reject out-of-range construction + try + { + auto x = percent_sn{150U}; + std::cout << "safe_numbers bounded(150): " << x << std::endl; + } + catch (const std::domain_error& e) + { + std::cout << "safe_numbers bounded(150) threw: " << e.what() << std::endl; + } + + try + { + percent_snr x = 150; + std::cout << "safe_numerics range(150): " << static_cast(x) << std::endl; + } + catch (const std::exception& e) + { + std::cout << "safe_numerics range(150) threw: " << e.what() << std::endl; + } + + // Arithmetic within bounds works for both + { + const auto result = percent_sn{60U} + percent_sn{30U}; + std::cout << "safe_numbers bounded: 60 + 30 = " << result << std::endl; + // Output: 90 + } + + { + percent_snr a = 60; + percent_snr b = 30; + auto result = a + b; + std::cout << "safe_numerics range: 60 + 30 = " << static_cast(result) << std::endl; + // Output: 90 + } + + // Arithmetic exceeding the declared range: + // SafeNumbers catches it immediately, SafeNumerics does not + try + { + const auto result = percent_sn{60U} + percent_sn{50U}; + std::cout << "safe_numbers bounded: 60 + 50 = " << result << std::endl; + } + catch (const std::exception& e) + { + std::cout << "safe_numbers bounded 60+50 threw: " << e.what() << std::endl; + } + + { + percent_snr a = 60; + percent_snr b = 50; + auto result = a + b; + std::cout << "safe_numerics range: 60 + 50 = " << static_cast(result) << std::endl; + // Output: 110 (exceeds declared range of [0,100] but no error!) + } + return 0; } From 8eacd8cb1708b3bb74477186e2798a4010128492 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 10:26:40 -0500 Subject: [PATCH 4/7] Ignore warnings for boost.safe_numerics --- examples/safe_numerics_comparison.cpp | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/examples/safe_numerics_comparison.cpp b/examples/safe_numerics_comparison.cpp index 5ae45ea..9f50ceb 100644 --- a/examples/safe_numerics_comparison.cpp +++ b/examples/safe_numerics_comparison.cpp @@ -23,6 +23,13 @@ #include #include #include + +#if defined(__GNUC__) +# pragma GCC diagnostic push +# pragma GCC diagnostic ignored "-Wold-style-cast" +# pragma GCC diagnostic ignored "-Wundef" +#endif + #include #include From e9153c7dcba388c61ab0e4b394a7fc5906e9a674 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 11:00:28 -0500 Subject: [PATCH 5/7] Ignore MSVC warning for safe_numerics --- examples/safe_numerics_comparison.cpp | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/examples/safe_numerics_comparison.cpp b/examples/safe_numerics_comparison.cpp index 9f50ceb..5c37c8b 100644 --- a/examples/safe_numerics_comparison.cpp +++ b/examples/safe_numerics_comparison.cpp @@ -24,10 +24,19 @@ #include #include +// Warning suppression required for safe_numerics #if defined(__GNUC__) # pragma GCC diagnostic push # pragma GCC diagnostic ignored "-Wold-style-cast" # pragma GCC diagnostic ignored "-Wundef" +#elif defined(_MSC_VER) +# pragma warning(push) +# pragma warning(disable : 4804) // Unsafe use of type bool in operation +#endif + +// Workaround for GCC-11 and GCC-12 not following the -Wundef pragma above +#ifndef BOOST_CLANG +# define BOOST_CLANG 0 #endif #include From ea0d229c87ef9ce080fe5c965eab35fcd07f16d4 Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 11:11:27 -0500 Subject: [PATCH 6/7] Ignore warning/error on windows clang --- examples/safe_numerics_comparison.cpp | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/examples/safe_numerics_comparison.cpp b/examples/safe_numerics_comparison.cpp index 5c37c8b..3fbd04c 100644 --- a/examples/safe_numerics_comparison.cpp +++ b/examples/safe_numerics_comparison.cpp @@ -25,7 +25,9 @@ #include // Warning suppression required for safe_numerics -#if defined(__GNUC__) +#if defined (__clang__) +# pragma clang diagnostic ignored "-Wold-style-cast" +#elif defined(__GNUC__) # pragma GCC diagnostic push # pragma GCC diagnostic ignored "-Wold-style-cast" # pragma GCC diagnostic ignored "-Wundef" From 6ca5d40f3454ecab261af3309b20f4100cff509d Mon Sep 17 00:00:00 2001 From: Matt Borland Date: Tue, 17 Feb 2026 11:21:02 -0500 Subject: [PATCH 7/7] Add comparison of automatic type deduction --- .../ROOT/images/safe_numbers_bounded_uint.png | Bin 0 -> 73832 bytes .../ROOT/images/safe_numerics_bounded_uint.png | Bin 0 -> 224323 bytes doc/modules/ROOT/pages/comparisons.adoc | 13 +++++++++++++ 3 files changed, 13 insertions(+) create mode 100644 doc/modules/ROOT/images/safe_numbers_bounded_uint.png create mode 100644 doc/modules/ROOT/images/safe_numerics_bounded_uint.png diff --git 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+image::safe_numbers_bounded_uint.png[SafeNumbers bounded_uint type deduction,align="center"] + +Boost.SafeNumerics deduces a deeply nested template type that can be difficult to read at a glance: + +image::safe_numerics_bounded_uint.png[SafeNumerics safe_unsigned_range type deduction,align="center"] + == Runnable Example .This https://github.com/boostorg/safe_numbers/blob/develop/examples/safe_numerics_comparison.cpp[example] demonstrates each of the differences listed above side-by-side.