- Added constants.h

- Finished Exponential Tests
 - Fixed HTML labeling

CMakeLists.txt

@@ -106,6 +106,7 @@ add_library(fennec STATIC
         include/fennec/lang/detail/__int.h
         include/fennec/lang/detail/__stdlib.h
         include/fennec/math/detail/__matrix.h
+        include/fennec/math/ext/constants.h
 )
 
 # add metaprogramming templates as a dependency and also force documentation to be generated when fennec is compiled

include/fennec/lang/bits.h

@@ -41,7 +41,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_bits">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::bit_cast "ToT bit_cast(const FromT& x)"
 ///     <td width="50%" style="vertical-align: top">

include/fennec/lang/conditional_types.h

@@ -43,7 +43,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_conditional_types">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::conditional "typename conditional<bool_t B, TrueT, FalseT>::type"<br>
 ///         \ref fennec::conditional_t "conditional_t<bool_t B, TrueT, FalseT>"

include/fennec/lang/constants.h

@@ -43,7 +43,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::integral_constant "integral_constant<IntT, IntT ValueV>::type"<br>
 ///     <td width="50%" style="vertical-align: top">

include/fennec/lang/intrinsics.h

@@ -39,7 +39,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_intrinsics">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         `FENNEC_HAS_BUILTIN_BIT_CAST` <br>
 ///         `Y FENNEC_BUILTIN_BIT_CAST(X)`

include/fennec/lang/limits.h

@@ -45,9 +45,7 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_limits">
 /// <tr><th style="vertical-align: top">Member
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><th colspan=2 style="text-align: center;">Traits
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::numeric_limits::is_specialized "is_specialized"</tt>
 ///     <td width="50%" style="vertical-align: top">
@@ -109,7 +107,6 @@
 ///     \copybrief fennec::numeric_limits::traps
 ///
 /// <tr><th colspan=2 style="text-align: center;">Binary
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::numeric_limits::radix "radix"</tt>
 ///     <td width="50%" style="vertical-align: top">
@@ -151,7 +148,6 @@
 ///     \copybrief fennec::numeric_limits::max_exponent10
 ///
 /// <tr><th colspan=2 style="text-align: center;">Limits
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::numeric_limits::min "min()"</tt>
 ///     <td width="50%" style="vertical-align: top">

include/fennec/lang/numeric_transforms.h

@@ -40,7 +40,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_numeric_transforms">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::make_signed "typename make_signed<TypeT>::type"<br>
 ///         \ref fennec::make_signed_t "make_signed_t<TypeT>"

include/fennec/lang/sequences.h

@@ -38,7 +38,7 @@
 ///
 /// \code #include <fennec/lang/sequences.h> \endcode
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_lang_sequences">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
 ///

include/fennec/lang/type_sequences.h

@@ -38,10 +38,9 @@
 ///
 /// \code #include <fennec/lang/type_sequences.h> \endcode
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_lang_type_sequences">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::first_element "typename first_element<ValueT, Values...>::type"<br>
 ///         \ref fennec::first_element_t "first_element_t<ValueT, Values...>"
@@ -52,7 +51,6 @@
 ///         \ref fennec::replace_first_element "typename replace_first_element<ClassT, SubT, OriginT, RestT...>::type"<br>
 ///     <td width="50%" style="vertical-align: top">
 ///         \copydoc fennec::replace_first_element
-///
 /// </table>
 ///
 

include/fennec/lang/type_traits.h

@@ -40,10 +40,9 @@
 /// \code #include <fennec/lang/type_traits.h> \endcode
 ///
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_lang_type_traits">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::is_void "is_void<TypeT>::value"<br>
 ///         \ref fennec::is_void_v "is_void_v<TypeT>"

include/fennec/lang/type_transforms.h

@@ -40,10 +40,9 @@
 /// \code #include <fennec/lang/type_transforms.h> \endcode
 ///
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_lang_type_transforms">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::type_transform "type_transform<TypeT>::type"<br>
 ///     <td width="50%" style="vertical-align: top">

include/fennec/lang/types.h

@@ -39,9 +39,7 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_lang_types">
 /// <tr><th style="vertical-align: top">Type
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><th colspan=2 style="text-align: center;">Basic Types
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::bool_t "bool_t"</tt>
 ///     <td width="50%" style="vertical-align: top">
@@ -113,7 +111,6 @@
 ///     \copybrief fennec::double_t
 ///
 /// <tr><th colspan=2 style="text-align: center;">Sized Arithmetic Types
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::int8_t "int8_t"</tt>
 ///     <td width="50%" style="vertical-align: top">
@@ -168,8 +165,6 @@
 ///
 ///
 /// <tr><th colspan=2 style="text-align: center;">Special Types
-///
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///		<tt>\ref fennec::nullptr_t "nullptr_t"</tt>
 ///     <td width="50%" style="vertical-align: top">

include/fennec/lang/utility.h

@@ -38,10 +38,9 @@
 ///
 /// \code #include <fennec/lang/utility.h> \endcode
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_lang_utility">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::forward "T&& forward(x)"<br>
 ///     <td width="50%" style="vertical-align: top">

include/fennec/math/common.h

@@ -49,7 +49,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_common_sign_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::abs(fennec::genType) "genIType abs(genIType x)" <br>
 ///         \ref fennec::abs(fennec::genType) "genFType abs(genFType x)" <br>
@@ -73,7 +72,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_common_rounding_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::floor(fennec::genType) "genFType floor(genFType x)" <br>
 ///         \ref fennec::floor(fennec::genType) "genDType floor(genDType x)"
@@ -116,7 +114,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_common_decimal_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::fract(fennec::genType) "genFType fract(genFType x)" <br>
 ///         \ref fennec::fract(fennec::genType) "genDType fract(genDType x)"
@@ -169,7 +166,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_common_bit_conversions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::floatBitsToInt(fennec::genType)  "genIType floatBitsToInt(genType value)" <br>
 ///         \ref fennec::floatBitsToUint(fennec::genType) "genUType floatBitsToUint(genType value)"
@@ -235,7 +231,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_curve_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::step "step(float edge, genFType x)"    <br>
 ///         \ref fennec::step "step(genFType edge, genFType x)" <br>
@@ -324,7 +319,7 @@ constexpr vector<genType, i...> abs(const vector<genType, i...>& x)
 /// \param x input value
 template<typename genType>
 constexpr genType sign(genType x)
-	{ return (x < 0 ? -1 : 1) * static_cast<genType>(x != 0); }
+	{ return (x < genType(0) ? genType(-1) : genType(1)) * static_cast<genType>(x != 0); } // reduces to cmove
 
 
 // Vector Specializations ----------------------------------------------------------------------------------------------
@@ -869,7 +864,7 @@ constexpr vector<genType, i...> clamp(const vector<genType, i...>& x, const vect
 /// \param x The coordinate of the sample location
 template<typename genType> requires(is_floating_point_v<genType>)
 constexpr genType step(genType edge, genType x)
-	{ return x < edge ? 0.0  : 1.0;  }
+	{ return static_cast<genType>(not(x < edge));  }
 
 
 // Vector Specializations ----------------------------------------------------------------------------------------------

include/fennec/math/detail/__matrix.h

@@ -114,7 +114,7 @@ constexpr matrix<scalar, rows, cols...> inverse(const matrix<scalar, rows, cols.
 
 	// Should check for 0 determinant
 	scalar invdet = (s0 * c5 - s1 * c4 + s2 * c3 + s3 * c2 - s4 * c1 + s5 * c0);
-	invdet = invdet ? 1.0 / invdet : 0;
+	invdet = invdet ? 1.0 / invdet : 0; // this will get reduced to cmov, div still happens
 
 	matrix<scalar, rows, cols...> i(
 		( m[1][1] * c5 - m[1][2] * c4 + m[1][3] * c3) * invdet

include/fennec/math/exponential.h

@@ -47,7 +47,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_exponential_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::pow(fennec::genType, fennec::genType) "genFType pow(genFType x, genFType y)"
 ///     <td width="50%" style="vertical-align: top">

include/fennec/math/ext/constants.h

@@ -0,0 +1,580 @@
+// =====================================================================================================================
+//  fennec, a free and open source game engine
+//  Copyright © 2025  Medusa Slockbower
+//
+//  This program is free software: you can redistribute it and/or modify
+//  it under the terms of the GNU General Public License as published by
+//  the Free Software Foundation, either version 3 of the License, or
+//  (at your option) any later version.
+//
+//  This program is distributed in the hope that it will be useful,
+//  but WITHOUT ANY WARRANTY; without even the implied warranty of
+//  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+//  GNU General Public License for more details.
+//
+//  You should have received a copy of the GNU General Public License
+//  along with this program.  If not, see <https://www.gnu.org/licenses/>.
+// =====================================================================================================================
+
+///
+/// \file constants.h
+/// \brief \ref fennec_math_ext_constants
+///
+///
+/// \details
+/// \author Medusa Slockbower
+///
+/// \copyright Copyright © 2025 Medusa Slockbower ([GPLv3](https://www.gnu.org/licenses/gpl-3.0.en.html))
+///
+///
+
+#ifndef FENNEC_MATH_EXT_CONSTANTS_H
+#define FENNEC_MATH_EXT_CONSTANTS_H
+
+
+///
+///
+///
+/// \page fennec_math_ext_constants Constants
+///
+/// \brief Common constants used in mathematics
+///
+/// \code #include <fennec/math/ext/constants.h> \endcode
+///
+///
+///
+/// \section section_rational_constants Rational Constants
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants_rational">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::zero "genType zero<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::zero
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one "genType one<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_half "genType one_half<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_half
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::three_over_two "genType three_over_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::three_over_two
+///
+/// </table>
+///
+///
+///
+/// \section section_irrational_constants Irrational Constants
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants_irrational">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_thirds "genType two_thirds<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_thirds
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_two "genType sqrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_two
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_three "genType sqrt_three<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_three
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_five "genType sqrt_five<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_five
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_seven "genType sqrt_seven<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_seven
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_ten "genType sqrt_ten<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_ten
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_two "genType one_over_sqrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_two
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_three "genType one_over_sqrt_three<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_three
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_five "genType one_over_sqrt_five<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_five
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::cbrt_two "genType cbrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::cbrt_two
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::qdrt_two "genType qdrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::qdrt_two
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_raised_sqrt_two "genType two_raised_sqrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_raised_sqrt_two
+/// </table>
+///
+///
+///
+/// \section section_pi_constants π
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants_pi">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><th colspan=2 style="text-align: center;">π & τ
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::pi "genType pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::tau "genType tau<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::tau
+///
+/// <tr><th colspan=2 style="text-align: center;">Multiples of π
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_pi "genType two_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::three_pi "genType three_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::three_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::four_pi "genType four_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::four_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::half_pi "genType half_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::half_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::third_pi "genType third_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::third_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::quarter_pi "genType quarter_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::quarter_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::fifth_pi "genType fifth_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::fifth_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sixth_pi "genType sixth_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sixth_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_thirds_pi "genType two_thirds_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_thirds_pi
+///
+/// <tr><th colspan=2 style="text-align: center;">Reciprocals of π
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_pi "genType one_over_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_over_pi "genType two_over_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_over_pi
+///
+/// <tr><th colspan=2 style="text-align: center;">Exponentiations of π
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::pi_sq "genType pi_sq<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::pi_sq
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::pi_cb "genType pi_cb<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::pi_cb
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_pi "genType sqrt_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_pi "genType one_over_sqrt_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_two_pi "genType sqrt_two_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_two_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_two_pi "genType one_over_sqrt_two_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_two_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::cbrt_pi "genType cbrt_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::cbrt_pi
+///
+/// </table>
+///
+///
+///
+/// \section section_e_constants e
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants_e">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><th colspan=2 style="text-align: center;">Multiples of e
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e "genType e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::half_e "genType half_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::half_e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::two_e "genType two_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::two_e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_e "genType one_over_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_e
+///
+/// <tr><th colspan=2 style="text-align: center;">Exponentiations
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_sq "genType e_sq<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_sq
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_cb "genType e_cb<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_cb
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::sqrt_e "genType sqrt_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::sqrt_e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_sqrt_e "genType one_over_sqrt_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_sqrt_e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_e "genType e_raised_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_e
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_neg_e "genType e_raised_neg_e<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_neg_e
+///
+/// <tr><th colspan=2 style="text-align: center;">Exponentiations by π
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_pi "genType e_raised_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_neg_pi "genType e_raised_neg_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_neg_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_half_pi "genType e_raised_half_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_half_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_neg_half_pi "genType e_raised_neg_half_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_neg_half_pi
+///
+/// <tr><th colspan=2 style="text-align: center;">Exponentiations by γ
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_gamma "genType e_raised_gamma<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_gamma
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::e_raised_neg_gamma "genType e_raised_neg_gamma<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::e_raised_neg_gamma
+///
+/// </table>
+///
+///
+///
+/// \section section_catalans_constants Catalan's Constant
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants_catalan">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::G "genType G<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::G
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_G "genType one_over_G<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_G
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::G_over_pi "genType G_over_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::G_over_pi
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::pi_over_G "genType pi_over_G<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::pi_over_G
+///	</table>
+///
+///
+///
+/// \section section_gamma_constants γ
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_common_sign_functions">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::y "genType y<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::y
+///
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_y "genType one_over_y<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_y
+/// </table>
+///
+///
+///
+/// \section section_log_constants Logarithms
+///
+/// <table width="100%" class="fieldtable" id="table_fennec_math_common_sign_functions">
+/// <tr><th style="vertical-align: top">Syntax
+///     <th style="vertical-align: top">Description
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_two "genType log_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_two
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_three "genType log_three<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_three
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_five "genType log_five<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_five
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_seven "genType log_seven<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_seven
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_ten "genType log_ten<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_ten
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::one_over_log_ten "genType one_over_log_ten<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::one_over_log_ten
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_two_over_log_three "genType log_two_over_log_three<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_two_over_log_three
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_log_two "genType log_log_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_log_two
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_pi "genType log_pi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_pi
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_sqrt_two "genType log_sqrt_two<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_sqrt_two
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_gamma "genType log_gamma<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_gamma
+/// <tr><td width="50%" style="vertical-align: top"> <br>
+///			\ref fennec::log_phi "genType log_phi<genType>()"
+///     <td width="50%" style="vertical-align: top">
+///			\copydetails fennec::log_phi
+///
+///
+///	</table>
+///
+
+namespace fennec
+{
+	// http://numbers.computation.free.fr/Constants/Miscellaneous/digits.html
+	// 50 digits is sufficient for 128-bit floats
+
+// Rational Constants ==================================================================================================
+
+template<typename genType> constexpr genType zero()           { return genType(0);   } ///< \returns The value of \f$0\f$
+template<typename genType> constexpr genType one()            { return genType(1);   } ///< \returns The value of \f$1\f$
+template<typename genType> constexpr genType one_half()       { return genType(0.5); } ///< \returns The value of \f$\frac{1}{2}\f$
+template<typename genType> constexpr genType three_over_two() { return genType(1.5); } ///< \returns The value of \f$\frac{3}{2}\f$
+
+
+
+// Irrational Constants ================================================================================================
+
+template<typename genType> constexpr genType one_third()           { return 0.33333333333333333333333333333333333333333333333333; } ///< \returns The value of \f$\frac{1}{3}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType two_thirds()          { return 0.66666666666666666666666666666666666666666666666666; } ///< \returns The value of \f$\frac{2}{3}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_two()            { return 1.41421356237309504880168872420969807856967187537694; } ///< \returns The value of \f$\sqrt{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_three()          { return 1.73205080756887729352744634150587236694280525381038; } ///< \returns The value of \f$\sqrt{3}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_five()           { return 2.23606797749978969640917366873127623544061835961152; } ///< \returns The value of \f$\sqrt{5}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_seven()          { return 2.64575131106459059050161575363926042571025918308245; } ///< \returns The value of \f$\sqrt{7}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_ten()            { return 3.16227766016837933199889354443271853371955513932521; } ///< \returns The value of \f$\sqrt{10}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_two()   { return 0.70710678118654752440084436210484903928483593768847; } ///< \returns The value of \f$\frac{1}{\sqrt{2}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_three() { return 0.57735026918962576450914878050195745564760175127012; } ///< \returns The value of \f$\frac{1}{\sqrt{3}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_five()  { return 0.44721359549995793928183473374625524708812367192230; } ///< \returns The value of \f$\frac{1}{\sqrt{5}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType cbrt_two()            { return 1.25992104989487316476721060727822835057025146470150; } ///< \returns The value of \f$\sqrt[3]{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType qdrt_two()            { return 1.18920711500272106671749997056047591529297209246381; } ///< \returns The value of \f$\sqrt[4]{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType two_raised_sqrt_two() { return 2.66514414269022518865029724987313984827421131371465; } ///< \returns The value of \f${2}^{\sqrt{2}}\f$ with the highest precision for \f$genType\f$
+
+
+
+// Pi ==================================================================================================================
+
+// Pi & Tau
+template<typename genType> constexpr genType pi()           { return 3.14159265358979323846264338327950288419716939937510; } ///< \returns The value of \f$\pi\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType tau()          { return 6.28318530717958647692528676655900576839433879875021; } ///< \returns The value of \f$\tau\f$ with the highest precision for \f$genType\f$
+
+// Multiples of Pi
+template<typename genType> constexpr genType two_pi()   { return  6.28318530717958647692528676655900576839433879875021; } ///< \returns The value of \f$2\pi\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType three_pi() { return  9.42477796076937971538793014983850865259150819812531; } ///< \returns The value of \f$3\pi\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType four_pi()  { return 12.56637061435917295385057353311801153678867759750042; } ///< \returns The value of \f$4\pi\f$ with the highest precision for \f$genType\f$
+
+// Fractions of Pi
+template<typename genType> constexpr genType half_pi()       { return 1.57079632679489661923132169163975144209858469968755; } ///< \returns The value of \f$\frac{\pi}{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType third_pi()      { return 1.04719755119659774615421446109316762806572313312503; } ///< \returns The value of \f$\frac{\pi}{3}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType quarter_pi()    { return 0.78539816339744830961566084581987572104929234984377; } ///< \returns The value of \f$\frac{\pi}{4}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType fifth_pi()      { return 0.62831853071795864769252867665590057683943387987502; } ///< \returns The value of \f$\frac{\pi}{5}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sixth_pi()      { return 0.52359877559829887307710723054658381403286156656251; } ///< \returns The value of \f$\frac{\pi}{6}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType two_thirds_pi() { return 2.09439510239319549230842892218633525613144626625007; } ///< \returns The value of \f$\frac{2\pi}{3}\f$ with the highest precision for \f$genType\f$
+
+// Reciprocals of Pi
+template<typename genType> constexpr genType one_over_pi() { return 0.31830988618379067153776752674502872406891929148091; } ///< \returns The value of \f$\frac{1}{\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType two_over_pi() { return 0.63661977236758134307553505349005744813783858296182; } ///< \returns The value of \f$\frac{2}{\pi}\f$ with the highest precision for \f$genType\f$
+
+// Exponentiations Pi
+template<typename genType> constexpr genType pi_sq()                { return  9.86960440108935861883449099987615113531369940724079; } ///< \returns The value of \f${\pi}^{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType pi_cb()                { return 31.00627668029982017547631506710139520222528856588510; } ///< \returns The value of \f${\pi}^{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_pi()              { return  1.77245385090551602729816748334114518279754945612238; } ///< \returns The value of \f$\sqrt{\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_pi()     { return  0.56418958354775628694807945156077258584405062932899; } ///< \returns The value of \f$\frac{1}{\sqrt{\pi}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_two_pi()          { return  1.77245385090551602729816748334114518279754945612238; } ///< \returns The value of \f$\sqrt{2\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_two_pi() { return  0.39894228040143267793994605993438186847585863116493; } ///< \returns The value of \f$\frac{1}{\sqrt{2\pi}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType cbrt_pi()              { return  1.46459188756152326302014252726379039173859685562793; } ///< \returns The value of \f$\sqrt[3]{\pi}\f$ with the highest precision for \f$genType\f$
+
+
+
+// e ===================================================================================================================
+
+// Multiples and Reciprocal
+template<typename genType> constexpr genType e()          { return 2.71828182845904523536028747135266249775724709369995; } ///< \returns The value of \f$e\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType half_e()     { return 1.35914091422952261768014373567633124887862354684997; } ///< \returns The value of \f$\frac{e}{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType two_e()      { return 5.43656365691809047072057494270532499551449418739991; } ///< \returns The value of \f$2e\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_e() { return 0.36787944117144232159552377016146086744581113103176; } ///< \returns The value of \f$\frac{1}{e}\f$ with the highest precision for \f$genType\f$
+
+// Exponentiations of e
+template<typename genType> constexpr genType e_sq()            { return  7.38905609893065022723042746057500781318031557055184; }  ///< \returns The value of \f$e^2\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_cb()            { return 20.08553692318766774092852965458171789698790783855415; }  ///< \returns The value of \f$e^3\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType sqrt_e()          { return  1.64872127070012814684865078781416357165377610071014; }  ///< \returns The value of \f$\sqrt{e}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_sqrt_e() { return  0.60653065971263342360379953499118045344191813548718; }  ///< \returns The value of \f$\frac{1}{\sqrt{e}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_e()      { return 15.15426224147926418976043027262991190552854853685613; }  ///< \returns The value of \f$e^e\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_neg_e()  { return  0.065988035845312537076790187596846424938577048252796; } ///< \returns The value of \f$e^-e\f$ with the highest precision for \f$genType\f$
+
+// Exponentiations of e by Pi
+template<typename genType> constexpr genType e_raised_pi()          { return 23.14069263277926900572908636794854738026610624260021; } ///< \returns The value of \f${e}^{ \pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_neg_pi()      { return  0.04321391826377224977441773717172801127572810981063; } ///< \returns The value of \f${e}^{-\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_half_pi()     { return  4.81047738096535165547303566670383312639017087466453; } ///< \returns The value of \f${e}^{\frac{ \pi}{2}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_neg_half_pi() { return  0.20787957635076190854695561983497877003387784163176; } ///< \returns The value of \f${e}^{\frac{-\pi}{2}}\f$ with the highest precision for \f$genType\f$
+
+// Exponentiations of e by Gamma
+template<typename genType> constexpr genType e_raised_gamma()     { return 1.78107241799019798523650410310717954916964521430343; } ///< \returns The value of \f${e}^{ \gamma}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType e_raised_neg_gamma() { return 0.56145948356688516982414321479088078676571038692515; } ///< \returns The value of \f${e}^{-\gamma}\f$ with the highest precision for \f$genType\f$
+
+
+
+// Catalan's Constant ==================================================================================================
+
+template<typename genType> constexpr genType G()          { return 0.91596559417721901505460351493238411077414937428167; } ///< \returns The value of \f$G\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_G() { return 1.09174406370390610145415947333389232498605012140824; } ///< \returns The value of \f$\frac{1}{G}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType G_over_pi()  { return 0.29156090403081878013838445646839491886406615398583; } ///< \returns The value of \f$\frac{G}{\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType pi_over_G()  { return 3.42981513013245864263455323784799901211670795530093; } ///< \returns The value of \f$\frac{\pi}{G}\f$ with the highest precision for \f$genType\f$
+
+
+
+// Gamma ===============================================================================================================
+
+template<typename genType> constexpr genType y()          { return 0.57721566490153286060651209008240243104215933593992; } ///< \returns The value of \f$\gamma\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_y() { return 1.73245471460063347358302531586082968115577655226680; } ///< \returns The value of \f$\frac{1}{\gamma}\f$ with the highest precision for \f$genType\f$
+
+
+
+// Logarithms ==========================================================================================================
+
+template<typename genType> constexpr genType log_two()                { return  0.69314718055994530941723212145817656807550013436025; } ///< \returns The value of \f$\log{2}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_three()              { return  1.09861228866810969139524523692252570464749055782274; } ///< \returns The value of \f$\log{3}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_five()               { return  1.60943791243410037460075933322618763952560135426851; } ///< \returns The value of \f$\log{5}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_seven()              { return  1.94591014905531330510535274344317972963708472958186; } ///< \returns The value of \f$\log{7}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_ten()                { return  2.30258509299404568401799145468436420760110148862877; } ///< \returns The value of \f$\log{10}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType one_over_log_ten()       { return  0.43429448190325182765112891891660508229439700580366; } ///< \returns The value of \f$\frac{1}{\log{10}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_two_over_log_three() { return  0.63092975357145743709952711434276085429958564013188; } ///< \returns The value of \f$\frac{\log{2}}{\log{3}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_log_two()            { return -0.36651292058166432701243915823266946945426344783711; } ///< \returns The value of \f$\log{\log{2}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_pi()                 { return  1.14472988584940017414342735135305871164729481291531; } ///< \returns The value of \f$\log{\pi}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_sqrt_two()           { return  0.91893853320467274178032973640561763986139747363778; } ///< \returns The value of \f$\log{\sqrt{2}}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_gamma()              { return -0.54953931298164482233766176880290778833069898126306; } ///< \returns The value of \f$\log{\gamma}\f$ with the highest precision for \f$genType\f$
+template<typename genType> constexpr genType log_phi()                { return  0.48121182505960344749775891342436842313518433438566; } ///< \returns The value of \f$\log{\phi}\f$ with the highest precision for \f$genType\f$
+
+}
+
+#endif // FENNEC_MATH_EXT_CONSTANTS_H

include/fennec/math/geometric.h

@@ -48,7 +48,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_geometric_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::dot "float  dot(genFType x, genFType y)" <br>
 ///         \ref fennec::dot "double dot(genDType x, genDType x)"
@@ -237,7 +236,7 @@ constexpr vector<genType, i...> normalize(const vector<genType, i...>& x)
 /// \param Nref the reference
 template<typename genType, size_t...i>
 constexpr vector<genType, i...> faceforward(const vector<genType, i...>& N, const vector<genType, i...>& I, const vector<genType, i...>& Nref)
-	{ return fennec::dot(Nref, I) < 0 ? N : -N; }
+	{ return fennec::sign(fennec::dot(Nref, I)) * N; }
 
 
 // reflect -------------------------------------------------------------------------------------------------------------

include/fennec/math/math.h

@@ -66,6 +66,8 @@
 /// 	- \ref fennec_math_geometric
 /// 	- \ref fennec_math_relational
 /// 	- \ref fennec_math_trigonometric
+/// - \subpage fennec_math_extensions "Extensions"
+///     - \ref fennec_math_ext_constants
 ///
 ///
 
@@ -91,6 +93,11 @@
 /// - \subpage fennec_math_trigonometric
 ///
 
+///
+/// \page fennec_math_extensions Extensions
+/// - \subpage fennec_math_ext_constants
+///
+
 ///
 ///
 ///

include/fennec/math/relational.h

@@ -41,7 +41,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_relational_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::lessThan "bvec lessThan(vec x, vec y)"<br>
 ///         \ref fennec::lessThan "bvec lessThan(dvec x, dvec y)"<br>

include/fennec/math/trigonometric.h

@@ -47,7 +47,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_trigonometry_angle_conversions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::degrees "genFType degrees(genFType x)"
 ///     <td width="50%" style="vertical-align: top">
@@ -67,7 +66,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_trigonometry_functions">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::sin "genFType sin(genFType x)"
 ///     <td width="50%" style="vertical-align: top">
@@ -108,7 +106,6 @@
 /// <table width="100%" class="fieldtable" id="table_fennec_math_trigonometry_hyperbolic">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::sinh "genFType sinh(genFType x)"
 ///     <td width="50%" style="vertical-align: top">

include/fennec/math/vector.h

@@ -97,6 +97,9 @@
 ///  then \f$V.xy = (0, 1)\f$
 ///  and  \f$V.zy = (2, 1)\f$
 ///
+///  \section section_vectors_more More Info
+///  - \subpage fennec_math_vector_traits
+///
 ///
 ///
 

include/fennec/math/vector_traits.h

@@ -39,10 +39,9 @@
 /// \code #include <fennec/math/vector_traits.h> \endcode
 ///
 ///
-/// <table width="100%" class="fieldtable" id="table_fennec_lang_constants">
+/// <table width="100%" class="fieldtable" id="table_fennec_math_ext_constants">
 /// <tr><th style="vertical-align: top">Syntax
 ///     <th style="vertical-align: top">Description
-///
 /// <tr><td width="50%" style="vertical-align: top"> <br>
 ///         \ref fennec::is_vector "is_vector<TypeT>::value"<br>
 ///         \ref fennec::is_vector_v "is_vector_v<TypeT>"

test/tests/math/test_exponential.h

@@ -19,7 +19,10 @@
 #ifndef FENNEC_TEST_MATH_EXPONENTIAL_H
 #define FENNEC_TEST_MATH_EXPONENTIAL_H
 
+#include "../../test.h"
+
 #include <fennec/math/exponential.h>
+#include <fennec/math/ext/constants.h>
 
 namespace fennec
 {
@@ -33,12 +36,15 @@ inline void fennec_test_math_exponential()
 
 	fennec_test_run(fennec::pow(1.0f, 2.0f), 1.0f);
 	fennec_test_run(fennec::pow(2.0f, 0.0f), 1.0f);
-	fennec_test_run(fennec::pow(2.0f, 1.0f), 1.0f);
+	fennec_test_run(fennec::pow(2.0f, 1.0f), 2.0f);
 	fennec_test_run(fennec::pow(2.0f, 2.0f), 4.0f);
 
 	fennec_test_spacer(1);
 
-	//fennec_test_run(fennec::exp())
+	fennec_test_run(fennec::exp(-1.0f), fennec::one_over_e<float>());
+	fennec_test_run(fennec::exp( 0.0f), 1.0f);
+	fennec_test_run(fennec::exp( 1.0f), fennec::e<float>());
+	fennec_test_run(fennec::exp( 2.0f), fennec::e_sq<float>());
 
 	fennec_test_spacer(1);
 
@@ -49,7 +55,10 @@ inline void fennec_test_math_exponential()
 
 	fennec_test_spacer(1);
 
-	//fennec_test_run(fennec::log())
+	fennec_test_run(fennec::log(fennec::one_over_e<float>()), -1.0f);
+	fennec_test_run(fennec::log(1.0f),                         0.0f);
+	fennec_test_run(fennec::log(fennec::e<float>()),           1.0f);
+	fennec_test_run(fennec::log(fennec::e_sq<float>()),        2.0f);
 
 	fennec_test_spacer(1);