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numbers.h with an indent of 2
Raw
.clang-format-2-2
---
Language: Cpp
# BasedOnStyle: LLVM
AccessModifierOffset: -2
AlignAfterOpenBracket: AlwaysBreak
AlignConsecutiveMacros: false
AlignConsecutiveAssignments: false
AlignConsecutiveDeclarations: false
AlignEscapedNewlines: DontAlign
AlignOperands: false
AlignTrailingComments: false
AllowAllArgumentsOnNextLine: true
AllowAllConstructorInitializersOnNextLine: true
AllowAllParametersOfDeclarationOnNextLine: true
AllowShortBlocksOnASingleLine: Never
AllowShortCaseLabelsOnASingleLine: false
AllowShortFunctionsOnASingleLine: None
AllowShortLambdasOnASingleLine: All
AllowShortIfStatementsOnASingleLine: Never
AllowShortLoopsOnASingleLine: false
AlwaysBreakAfterDefinitionReturnType: None
AlwaysBreakAfterReturnType: None
AlwaysBreakBeforeMultilineStrings: false
AlwaysBreakTemplateDeclarations: Yes
BinPackArguments: true
BinPackParameters: true
BraceWrapping:
AfterCaseLabel: false
AfterClass: false
AfterControlStatement: false
AfterEnum: false
AfterFunction: true
AfterNamespace: false
AfterObjCDeclaration: false
AfterStruct: false
AfterUnion: false
AfterExternBlock: false
BeforeCatch: false
BeforeElse: false
IndentBraces: false
SplitEmptyFunction: true
SplitEmptyRecord: true
SplitEmptyNamespace: true
BreakBeforeBinaryOperators: None
BreakBeforeBraces: Custom
BreakBeforeInheritanceComma: true
BreakInheritanceList: BeforeComma
BreakBeforeTernaryOperators: true
BreakConstructorInitializersBeforeComma: false
BreakConstructorInitializers: BeforeComma
BreakAfterJavaFieldAnnotations: false
BreakStringLiterals: true
ColumnLimit: 100
CommentPragmas: '^ IWYU pragma:'
CompactNamespaces: false
ConstructorInitializerAllOnOneLineOrOnePerLine: false
ConstructorInitializerIndentWidth: 2
ContinuationIndentWidth: 4
Cpp11BracedListStyle: true
DeriveLineEnding: true
DerivePointerAlignment: false
DisableFormat: false
ExperimentalAutoDetectBinPacking: false
FixNamespaceComments: false
ForEachMacros:
- foreach
- Q_FOREACH
- BOOST_FOREACH
IncludeBlocks: Preserve
IncludeCategories:
- Regex: '^"(llvm|llvm-c|clang|clang-c)/'
Priority: 2
SortPriority: 0
- Regex: '^(<|"(gtest|gmock|isl|json)/)'
Priority: 3
SortPriority: 0
- Regex: '.*'
Priority: 1
SortPriority: 0
IncludeIsMainRegex: '(Test)?$'
IncludeIsMainSourceRegex: ''
IndentCaseLabels: false
IndentGotoLabels: true
IndentPPDirectives: None
IndentWidth: 2
IndentWrappedFunctionNames: false
JavaScriptQuotes: Leave
JavaScriptWrapImports: true
KeepEmptyLinesAtTheStartOfBlocks: true
MacroBlockBegin: ''
MacroBlockEnd: ''
MaxEmptyLinesToKeep: 1
NamespaceIndentation: All
ObjCBinPackProtocolList: Auto
ObjCBlockIndentWidth: 2
ObjCSpaceAfterProperty: false
ObjCSpaceBeforeProtocolList: true
PenaltyBreakAssignment: 2
PenaltyBreakBeforeFirstCallParameter: 19
PenaltyBreakComment: 300
PenaltyBreakFirstLessLess: 120
PenaltyBreakString: 1000
PenaltyBreakTemplateDeclaration: 10
PenaltyExcessCharacter: 1000000
PenaltyReturnTypeOnItsOwnLine: 1000
PointerAlignment: Left
ReflowComments: true
SortIncludes: true
SortUsingDeclarations: true
SpaceAfterCStyleCast: false
SpaceAfterLogicalNot: false
SpaceAfterTemplateKeyword: false
SpaceBeforeAssignmentOperators: true
SpaceBeforeCpp11BracedList: false
SpaceBeforeCtorInitializerColon: true
SpaceBeforeInheritanceColon: true
SpaceBeforeParens: ControlStatements
SpaceBeforeRangeBasedForLoopColon: true
SpaceInEmptyBlock: false
SpaceInEmptyParentheses: false
SpacesBeforeTrailingComments: 1
SpacesInAngles: false
SpacesInConditionalStatement: false
SpacesInContainerLiterals: true
SpacesInCStyleCastParentheses: false
SpacesInParentheses: false
SpacesInSquareBrackets: false
SpaceBeforeSquareBrackets: false
Standard: Latest
StatementMacros:
- Q_UNUSED
- QT_REQUIRE_VERSION
TabWidth: 2
UseCRLF: false
UseTab: Never
...
Raw
indent-of-2.cpp
// Copyright John McFarlane 2017.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file ../../LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include <cnl/_impl/assert.h>
#include <cnl/_impl/type_traits/identical.h>
#include <cnl/scaled_integer.h>
#include <gtest/gtest.h>
namespace {
#if defined(__cpp_inline_variables)
using cnl::_impl::identical;
////////////////////////////////////////////////////////////////////////////////
// simple one-off tests
// 8-bit pi
static_assert(
identical(
cnl::scaled_integer<cnl::uint8, cnl::power<-6>>{3.140625},
std::numbers::pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>),
"std::numbers::pi_v test failed");
////////////////////////////////////////////////////////////////////////////////
// precision tests
// where greater of inputs is max and lesser is min, returns 1-max/min
template<class Rep, int Exponent>
long double
get_error(cnl::scaled_integer<Rep, cnl::power<Exponent>> fp_constant, long double ld_constant)
{
CNL_ASSERT(fp_constant > 0.);
CNL_ASSERT(ld_constant > 0.);
auto ratio = static_cast<long double>(fp_constant) / ld_constant;
auto error = ((ratio > 1) ? ratio : (1.L / ratio)) - 1.L;
return error;
}
TEST(scaled_integer_constants, e)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::e_v<long double>),
.006L);
EXPECT_LT(
get_error(
std::numbers::e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::e_v<long double>),
.015L);
EXPECT_LT(
get_error(
std::numbers::e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::e_v<long double>),
.000002L);
#if !defined(__arm__)
EXPECT_LT(
get_error(
std::numbers::e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::e_v<long double>),
.000000001L);
#endif
}
TEST(scaled_integer_constants, log2e)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::log2e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::log2e_v<long double>),
.006L);
EXPECT_LT(
get_error(
std::numbers::log2e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::log2e_v<long double>),
.015L);
EXPECT_LT(
get_error(
std::numbers::log2e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::log2e_v<long double>),
.000005L);
EXPECT_LT(
get_error(
std::numbers::log2e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::log2e_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, log10e)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::log10e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::log10e_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::log10e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::log10e_v<long double>),
.16L);
EXPECT_LT(
get_error(
std::numbers::log10e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::log10e_v<long double>),
.0000325L);
EXPECT_LT(
get_error(
std::numbers::log10e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::log10e_v<long double>),
.0000000000000000004L);
}
TEST(scaled_integer_constants, pi)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::pi_v<long double>),
.006L);
EXPECT_LT(
get_error(
std::numbers::pi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::pi_v<long double>),
.015L);
EXPECT_LT(
get_error(
std::numbers::pi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::pi_v<long double>),
.0000021L);
#if !defined(__arm__)
EXPECT_LT(
get_error(
std::numbers::pi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::pi_v<long double>),
.000000001L);
#endif
}
TEST(scaled_integer_constants, invpi)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::inv_pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::inv_pi_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::inv_pi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::inv_pi_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::inv_pi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::inv_pi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::inv_pi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::inv_pi_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, inv_sqrtpi) // NOLINT
{
EXPECT_LT(
get_error(
std::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::inv_sqrtpi_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::inv_sqrtpi_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::inv_sqrtpi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::inv_sqrtpi_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, ln2)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::ln2_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::ln2_v<long double>),
.01L);
EXPECT_LT(
get_error(
std::numbers::ln2_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::ln2_v<long double>),
.015L);
EXPECT_LT(
get_error(
std::numbers::ln2_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::ln2_v<long double>),
.0000021L);
EXPECT_LT(
get_error(
std::numbers::ln2_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::ln2_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, ln10)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::ln10_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::ln10_v<long double>),
.006L);
EXPECT_LT(
get_error(
std::numbers::ln10_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::ln10_v<long double>),
.025L);
EXPECT_LT(
get_error(
std::numbers::ln10_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::ln10_v<long double>),
.0000021L);
EXPECT_LT(
get_error(
std::numbers::ln10_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::ln10_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, sqrt2)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::sqrt2_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::sqrt2_v<long double>),
.006L);
EXPECT_LT(
get_error(
std::numbers::sqrt2_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::sqrt2_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::sqrt2_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::sqrt2_v<long double>),
.00001L);
EXPECT_LT(
get_error(
std::numbers::sqrt2_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::sqrt2_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, sqrt3)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::sqrt3_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::sqrt3_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::sqrt3_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::sqrt3_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::sqrt3_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::sqrt3_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::sqrt3_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, invsqrt3)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::inv_sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::inv_sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::inv_sqrt3_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::inv_sqrt3_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, egamma)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::egamma_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::egamma_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::egamma_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::egamma_v<long double>),
.03L);
EXPECT_LT(
get_error(
std::numbers::egamma_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::egamma_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::egamma_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::egamma_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, phi)
{ // NOLINT
EXPECT_LT(
get_error(
std::numbers::phi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
std::numbers::phi_v<long double>),
.02L);
EXPECT_LT(
get_error(
std::numbers::phi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
std::numbers::phi_v<long double>),
.04L);
EXPECT_LT(
get_error(
std::numbers::phi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
std::numbers::phi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
std::numbers::phi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
std::numbers::phi_v<long double>),
.0000000000000000003L);
}
#endif // defined(__cpp_inline_variables)
}
Raw
indent-of-4.cpp
// Copyright John McFarlane 2017.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file ../../LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#include <cnl/_impl/assert.h>
#include <cnl/_impl/type_traits/identical.h>
#include <cnl/scaled_integer.h>
#include <gtest/gtest.h>
namespace {
#if defined(__cpp_inline_variables)
using cnl::_impl::identical;
////////////////////////////////////////////////////////////////////////////////
// simple one-off tests
// 8-bit pi
static_assert(
identical(
cnl::scaled_integer<cnl::uint8, cnl::power<-6>>{3.140625},
cnl::numbers::pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>),
"cnl::numbers::pi_v test failed");
////////////////////////////////////////////////////////////////////////////////
// precision tests
// where greater of inputs is max and lesser is min, returns 1-max/min
template<class Rep, int Exponent>
long double
get_error(cnl::scaled_integer<Rep, cnl::power<Exponent>> fp_constant, long double ld_constant)
{
CNL_ASSERT(fp_constant > 0.);
CNL_ASSERT(ld_constant > 0.);
auto ratio = static_cast<long double>(fp_constant) / ld_constant;
auto error = ((ratio > 1) ? ratio : (1.L / ratio)) - 1.L;
return error;
}
TEST(scaled_integer_constants, e)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::e_v<long double>),
.006L);
EXPECT_LT(
get_error(
cnl::numbers::e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::e_v<long double>),
.015L);
EXPECT_LT(
get_error(
cnl::numbers::e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::e_v<long double>),
.000002L);
#if !defined(__arm__)
EXPECT_LT(
get_error(
cnl::numbers::e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::e_v<long double>),
.000000001L);
#endif
}
TEST(scaled_integer_constants, log2e)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::log2e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::log2e_v<long double>),
.006L);
EXPECT_LT(
get_error(
cnl::numbers::log2e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::log2e_v<long double>),
.015L);
EXPECT_LT(
get_error(
cnl::numbers::log2e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::log2e_v<long double>),
.000005L);
EXPECT_LT(
get_error(
cnl::numbers::log2e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::log2e_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, log10e)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::log10e_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::log10e_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::log10e_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::log10e_v<long double>),
.16L);
EXPECT_LT(
get_error(
cnl::numbers::log10e_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::log10e_v<long double>),
.0000325L);
EXPECT_LT(
get_error(
cnl::numbers::log10e_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::log10e_v<long double>),
.0000000000000000004L);
}
TEST(scaled_integer_constants, pi)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::pi_v<long double>),
.006L);
EXPECT_LT(
get_error(
cnl::numbers::pi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::pi_v<long double>),
.015L);
EXPECT_LT(
get_error(
cnl::numbers::pi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::pi_v<long double>),
.0000021L);
#if !defined(__arm__)
EXPECT_LT(
get_error(
cnl::numbers::pi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::pi_v<long double>),
.000000001L);
#endif
}
TEST(scaled_integer_constants, invpi)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::inv_pi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::inv_pi_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::inv_pi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::inv_pi_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::inv_pi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::inv_pi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::inv_pi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::inv_pi_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, inv_sqrtpi) // NOLINT
{
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::inv_sqrtpi_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrtpi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::inv_sqrtpi_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrtpi_v<
cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::inv_sqrtpi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrtpi_v<
cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::inv_sqrtpi_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, ln2)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::ln2_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::ln2_v<long double>),
.01L);
EXPECT_LT(
get_error(
cnl::numbers::ln2_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::ln2_v<long double>),
.015L);
EXPECT_LT(
get_error(
cnl::numbers::ln2_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::ln2_v<long double>),
.0000021L);
EXPECT_LT(
get_error(
cnl::numbers::ln2_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::ln2_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, ln10)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::ln10_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::ln10_v<long double>),
.006L);
EXPECT_LT(
get_error(
cnl::numbers::ln10_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::ln10_v<long double>),
.025L);
EXPECT_LT(
get_error(
cnl::numbers::ln10_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::ln10_v<long double>),
.0000021L);
EXPECT_LT(
get_error(
cnl::numbers::ln10_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::ln10_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, sqrt2)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::sqrt2_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::sqrt2_v<long double>),
.006L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt2_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::sqrt2_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt2_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::sqrt2_v<long double>),
.00001L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt2_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::sqrt2_v<long double>),
.0000000000000000002L);
}
TEST(scaled_integer_constants, sqrt3)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::sqrt3_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::sqrt3_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt3_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt3_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::sqrt3_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::sqrt3_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::sqrt3_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, invsqrt3)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::inv_sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::inv_sqrt3_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrt3_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::inv_sqrt3_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::inv_sqrt3_v<
cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::inv_sqrt3_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, egamma)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::egamma_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::egamma_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::egamma_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::egamma_v<long double>),
.03L);
EXPECT_LT(
get_error(
cnl::numbers::egamma_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::egamma_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::egamma_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::egamma_v<long double>),
.0000000000000000003L);
}
TEST(scaled_integer_constants, phi)
{ // NOLINT
EXPECT_LT(
get_error(
cnl::numbers::phi_v<cnl::scaled_integer<cnl::uint8, cnl::power<-6>>>,
cnl::numbers::phi_v<long double>),
.02L);
EXPECT_LT(
get_error(
cnl::numbers::phi_v<cnl::scaled_integer<cnl::int16, cnl::power<-4>>>,
cnl::numbers::phi_v<long double>),
.04L);
EXPECT_LT(
get_error(
cnl::numbers::phi_v<cnl::scaled_integer<cnl::int32, cnl::power<-16>>>,
cnl::numbers::phi_v<long double>),
.00005L);
EXPECT_LT(
get_error(
cnl::numbers::phi_v<cnl::scaled_integer<cnl::uint64, cnl::power<-62>>>,
cnl::numbers::phi_v<long double>),
.0000000000000000003L);
}
#endif // defined(__cpp_inline_variables)
}
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