diff --git a/source/himalaya/mh2_eft/ThresholdLoopFunctions.cpp b/source/himalaya/mh2_eft/ThresholdLoopFunctions.cpp index 04aa32c..f0ee137 100644 --- a/source/himalaya/mh2_eft/ThresholdLoopFunctions.cpp +++ b/source/himalaya/mh2_eft/ThresholdLoopFunctions.cpp @@ -458,10 +458,14 @@ double g(double r) noexcept double f1(double r) noexcept { + if (r == 0.) { + return 0; + } + const double r2 = sqr(r); - if (is_zero(r, 0.01)) { - return 18./7.*r2; + if (std::fabs(r) < 0.01) { + return r2*(18./7 + 6./7*r2*(7 + 5*std::log(r2))); } const double d = r2 - 1; @@ -478,10 +482,14 @@ double f1(double r) noexcept double f2(double r) noexcept { + if (r == 0.) { + return 0; + } + const double r2 = sqr(r); - if (is_zero(r, 0.01)) { - return 22./9.*r2; + if (std::fabs(r) < 0.01) { + return r2*(22./9 + 2./9*r2*(23 + 17*std::log(r2))); } const double d = r2 - 1; @@ -498,11 +506,16 @@ double f2(double r) noexcept double f3(double r) noexcept { - if (is_zero(r, 1e-6)) { - return 4./3.; + if (r == 0.) { + return 4./3; } const double r2 = sqr(r); + + if (is_zero(r, 1e-6)) { + return 4./3 + 2./3*r2*(13 + 6*std::log(r2)); + } + const double d = r2 - 1; if (is_equal(std::fabs(r), 1., 0.01)) { @@ -518,11 +531,16 @@ double f3(double r) noexcept double f4(double r) noexcept { - if (is_zero(r, 1e-6)) { + if (r == 0.) { return 12./7.; } const double r2 = sqr(r); + + if (is_zero(r, 1e-6)) { + return 12./7 + 2./7*r2*(37 + 18*std::log(r2)); + } + const double d = r2 - 1; if (is_equal(std::fabs(r), 1., 0.01)) { diff --git a/test/data/f1_.txt b/test/data/f1_.txt new file mode 100644 index 0000000..7694bd4 --- /dev/null +++ b/test/data/f1_.txt @@ -0,0 +1,146 @@ +0 0 +0.05 0.00630460475817347 +0.1 0.0242938547018057 +0.15 0.0522313029319074 +0.2 0.0883469368623725 +0.25 0.131038854842681 +0.3 0.178924759803624 +0.35 0.230840307182088 +0.4 0.285818157821581 +0.45 0.343061485563424 +0.5 0.401917686943558 +0.55 0.461854557849988 +0.6 0.522439636897915 +0.65 0.58332271999505 +0.7 0.644221263069468 +0.75 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of file diff --git a/test/data/generate_data.m b/test/data/generate_data.m new file mode 100644 index 0000000..2f9be74 --- /dev/null +++ b/test/data/generate_data.m @@ -0,0 +1,53 @@ +(* calculate func[args] with precision prec *) +GeneratePoint[func_, prec_, args__] := + N[#, prec]& @ { args, func[args] } + +(* calculate func[arg] with precision prec on a grid *) +GenerateGridData[func_, narg_, prec_, {min_, max_, step_}] := + Module[{vals = Table[x, {x, min, max, step}]}, + GeneratePoint[func, prec, Sequence @@ #]& /@ Tuples[vals, narg] + ] + +(* calculate func with precision prec on a grid close to start *) +GenerateLimitData[func_, narg_, prec_, n_, frac_, dir_, start_] := + Module[{vals = Table[start + dir frac^k, {k, 1, n, 1}]}, + GeneratePoint[func, prec, Sequence @@ #]& /@ Tuples[vals, narg] + ] + +ExportData[func_, narg_, prec_, zero_] := + Module[{data, filename = ToString[func] <> ".txt", step = 1/20}, + Print["Generating data for " <> ToString[func]]; + data = Join[ + GenerateGridData[func, narg, prec, {zero, 5, step}], + GenerateLimitData[func, narg, prec, prec, 1/10, -1, 1], + GenerateLimitData[func, narg, prec, prec, 1/10, +1, 1], + If[PossibleZeroQ[zero], + GenerateLimitData[func, narg, prec, prec, 1/10, +1, 0], + {} + ] + ]; + Print["Writing data to ", filename]; + Export[filename, data, "Table"]; + ] + +$MaxExtraPrecision = 10000; +precision = 15; + +ExportData[F1, 1, precision, 0]; +ExportData[F2, 1, precision, 0]; +ExportData[F3, 1, precision, 0]; +ExportData[F4, 1, precision, 0]; +ExportData[F5, 1, precision, 0]; +ExportData[F6, 1, precision, 0]; +ExportData[F7, 1, precision, 0]; +ExportData[F8, 2, precision, 0]; +ExportData[F9, 2, precision, 1/20]; + +ExportData[f1, 1, precision, 0]; +ExportData[f2, 1, precision, 0]; +ExportData[f3, 1, precision, 0]; +ExportData[f4, 1, precision, 0]; +ExportData[f5, 2, precision, 0]; +ExportData[f6, 2, precision, 0]; +ExportData[f7, 2, precision, 0]; +ExportData[f8, 2, precision, 0]; diff --git a/test/test_ThresholdLoopFunctions.cpp b/test/test_ThresholdLoopFunctions.cpp index 92e3dcd..88ba42a 100644 --- a/test/test_ThresholdLoopFunctions.cpp +++ b/test/test_ThresholdLoopFunctions.cpp @@ -87,6 +87,11 @@ void test_3(const std::string& function_name, Fn fn, double eps) TEST_CASE("test_1") { + test_1("f1_", himalaya::mh2_eft::threshold_loop_functions::f1, 1e-11); + test_1("f2_", himalaya::mh2_eft::threshold_loop_functions::f2, 1e-11); + test_1("f3_", himalaya::mh2_eft::threshold_loop_functions::f3, 1e-11); + test_1("f4_", himalaya::mh2_eft::threshold_loop_functions::f4, 1e-11); + test_1("F1", himalaya::mh2_eft::threshold_loop_functions::F1, 1e-11); test_1("F2", himalaya::mh2_eft::threshold_loop_functions::F2, 1e-11); test_1("F3", himalaya::mh2_eft::threshold_loop_functions::F3, 1e-11);