mirror of
https://github.com/paboyle/Grid.git
synced 2025-04-04 19:25:56 +01:00
gammas: adjoint implemented as a symbolic operation
This commit is contained in:
parent
0432e30256
commit
05cb6d318a
@ -51,6 +51,14 @@ namespace QCD {
|
||||
static const int Nhs=2; // half spinor
|
||||
static const int Nds=8; // double stored gauge field
|
||||
static const int Ngp=2; // gparity index range
|
||||
|
||||
// if no adj funtion in QCD:: redirect to Grid::
|
||||
// this avoids QCD:: adj functions to screen the Grid:: ones
|
||||
template <typename T>
|
||||
inline auto adj(T x)->decltype(Grid::adj(x))
|
||||
{
|
||||
return Grid::adj(x);
|
||||
}
|
||||
|
||||
//////////////////////////////////////////////////////////////////////////////
|
||||
// QCD iMatrix types
|
||||
|
||||
@ -44,12 +44,24 @@ class Gamma {
|
||||
MinusSigmaZT , 30,
|
||||
SigmaZT , 31);
|
||||
static constexpr unsigned int nGamma = 32;
|
||||
static const std::array<const char *, nGamma> name;
|
||||
static const std::array<const char *, nGamma> name;
|
||||
static const std::array<std::array<Algebra, nGamma>, nGamma> mul;
|
||||
static const std::array<Algebra, nGamma> adj;
|
||||
Algebra g;
|
||||
public:
|
||||
Gamma(Algebra initg): g(initg) {}
|
||||
};
|
||||
|
||||
inline Gamma operator*(const Gamma &g1, const Gamma &g2)
|
||||
{
|
||||
return Gamma(Gamma::mul[g1.g][g2.g]);
|
||||
}
|
||||
|
||||
inline Gamma adj(const Gamma &g)
|
||||
{
|
||||
return Gamma(Gamma::adj[g.g]);
|
||||
}
|
||||
|
||||
template<class vtype>
|
||||
inline void multMinusGamma5(iVector<vtype, Ns> &ret, const iVector<vtype, Ns> &rhs)
|
||||
{
|
||||
@ -1403,11 +1415,6 @@ inline auto operator*(const iMatrix<vtype, Ns> &arg, const Gamma &G)
|
||||
return ret;
|
||||
}
|
||||
|
||||
inline Gamma operator*(const Gamma &g1, const Gamma &g2)
|
||||
{
|
||||
return Gamma(Gamma::mul[g1.g][g2.g]);
|
||||
}
|
||||
|
||||
}}
|
||||
|
||||
#endif
|
||||
|
||||
@ -1055,4 +1055,39 @@ Gamma::mul = {{
|
||||
Gamma::Algebra::MinusSigmaYT,
|
||||
Gamma::Algebra::Identity,
|
||||
Gamma::Algebra::MinusIdentity}
|
||||
}};
|
||||
}};
|
||||
|
||||
const std::array<Gamma::Algebra, Gamma::nGamma> Gamma::adj = {
|
||||
Gamma::Algebra::MinusGamma5,
|
||||
Gamma::Algebra::Gamma5,
|
||||
Gamma::Algebra::MinusGammaT,
|
||||
Gamma::Algebra::GammaT,
|
||||
Gamma::Algebra::GammaTGamma5,
|
||||
Gamma::Algebra::MinusGammaTGamma5,
|
||||
Gamma::Algebra::MinusGammaX,
|
||||
Gamma::Algebra::GammaX,
|
||||
Gamma::Algebra::GammaXGamma5,
|
||||
Gamma::Algebra::MinusGammaXGamma5,
|
||||
Gamma::Algebra::MinusGammaY,
|
||||
Gamma::Algebra::GammaY,
|
||||
Gamma::Algebra::GammaYGamma5,
|
||||
Gamma::Algebra::MinusGammaYGamma5,
|
||||
Gamma::Algebra::MinusGammaZ,
|
||||
Gamma::Algebra::GammaZ,
|
||||
Gamma::Algebra::GammaZGamma5,
|
||||
Gamma::Algebra::MinusGammaZGamma5,
|
||||
Gamma::Algebra::MinusIdentity,
|
||||
Gamma::Algebra::Identity,
|
||||
Gamma::Algebra::SigmaXT,
|
||||
Gamma::Algebra::MinusSigmaXT,
|
||||
Gamma::Algebra::SigmaXY,
|
||||
Gamma::Algebra::MinusSigmaXY,
|
||||
Gamma::Algebra::SigmaXZ,
|
||||
Gamma::Algebra::MinusSigmaXZ,
|
||||
Gamma::Algebra::SigmaYT,
|
||||
Gamma::Algebra::MinusSigmaYT,
|
||||
Gamma::Algebra::SigmaYZ,
|
||||
Gamma::Algebra::MinusSigmaYZ,
|
||||
Gamma::Algebra::SigmaZT,
|
||||
Gamma::Algebra::MinusSigmaZT
|
||||
};
|
||||
|
||||
@ -10,10 +10,10 @@
|
||||
NotebookFileLineBreakTest
|
||||
NotebookFileLineBreakTest
|
||||
NotebookDataPosition[ 158, 7]
|
||||
NotebookDataLength[ 60858, 1625]
|
||||
NotebookOptionsPosition[ 58965, 1561]
|
||||
NotebookOutlinePosition[ 59326, 1577]
|
||||
CellTagsIndexPosition[ 59283, 1574]
|
||||
NotebookDataLength[ 58006, 1512]
|
||||
NotebookOptionsPosition[ 56426, 1458]
|
||||
NotebookOutlinePosition[ 56786, 1474]
|
||||
CellTagsIndexPosition[ 56743, 1471]
|
||||
WindowFrame->Normal*)
|
||||
|
||||
(* Beginning of Notebook Content *)
|
||||
@ -43,12 +43,14 @@ Cell[CellGroupData[{
|
||||
Cell[BoxData[{
|
||||
RowBox[{"ClearAll", "[", "\"\<Global`*\>\"", "]"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"Unprotect", "[", "\"\<Dot\>\"", "]"}],
|
||||
RowBox[{"Unprotect", "[", "\"\<Dot\>\"", "]"}], ";",
|
||||
RowBox[{"Unprotect", "[", "\"\<ConjugateTranspose\>\"", "]"}],
|
||||
";"}], "\[IndentingNewLine]",
|
||||
RowBox[{"SetDirectory", "[",
|
||||
RowBox[{"NotebookDirectory", "[", "]"}], "]"}]}], "Input",
|
||||
CellChangeTimes->{{3.69418610909842*^9, 3.694186122331771*^9}, {
|
||||
3.694189694542165*^9, 3.6941897146300087`*^9}}],
|
||||
3.694189694542165*^9, 3.6941897146300087`*^9}, {3.694297413625847*^9,
|
||||
3.694297419003489*^9}}],
|
||||
|
||||
Cell[BoxData["\<\"/Users/antonin/Development/Grid/lib/qcd/spin/gamma-gen\"\>"]\
|
||||
, "Output",
|
||||
@ -60,7 +62,9 @@ Cell[BoxData["\<\"/Users/antonin/Development/Grid/lib/qcd/spin/gamma-gen\"\>"]\
|
||||
3.694214215876555*^9, 3.694214744582322*^9, 3.694214868607993*^9, {
|
||||
3.694214930774279*^9, 3.694214956189962*^9}, 3.69421520097348*^9,
|
||||
3.6942153028002653`*^9, 3.694215388363636*^9, 3.694215531793765*^9,
|
||||
3.694293467607703*^9}]
|
||||
3.694293467607703*^9, 3.694294096138891*^9, 3.694297419616928*^9,
|
||||
3.694297655191285*^9, 3.69429782738804*^9, 3.694297901657515*^9,
|
||||
3.6942984168973837`*^9}]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
@ -85,7 +89,8 @@ Cell[BoxData[{
|
||||
3.694184821238667*^9, 3.6941848260602217`*^9}}],
|
||||
|
||||
Cell["Definition of the matrix representation of the algebra:", "Text",
|
||||
CellChangeTimes->{{3.6942090405172586`*^9, 3.694209073962101*^9}}],
|
||||
CellChangeTimes->{{3.6942090405172586`*^9, 3.694209073962101*^9}, {
|
||||
3.6942974330697393`*^9, 3.694297433821431*^9}}],
|
||||
|
||||
Cell[BoxData[{
|
||||
RowBox[{
|
||||
@ -257,168 +262,6 @@ Cell[BoxData[{
|
||||
3.694185780274218*^9, 3.6941858224264593`*^9, {3.694185941282981*^9,
|
||||
3.694185950262871*^9}}],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[{
|
||||
RowBox[{
|
||||
RowBox[{"mat", "[",
|
||||
RowBox[{"-", "gt5"}], "]"}], "//", "MatrixForm"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{"r", " ", "=", " ",
|
||||
RowBox[{"RandomReal", "[",
|
||||
RowBox[{
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{"4", ",", "4"}], "}"}]}], "]"}]}], ")"}], "//",
|
||||
"MatrixForm"}]}], "Input",
|
||||
CellChangeTimes->{{3.694293480790983*^9, 3.69429352615298*^9}, {
|
||||
3.694293583868273*^9, 3.694293627905012*^9}}],
|
||||
|
||||
Cell[BoxData[
|
||||
TagBox[
|
||||
RowBox[{"(", "\[NoBreak]", GridBox[{
|
||||
{"0", "0", "1", "0"},
|
||||
{"0", "0", "0", "1"},
|
||||
{
|
||||
RowBox[{"-", "1"}], "0", "0", "0"},
|
||||
{"0",
|
||||
RowBox[{"-", "1"}], "0", "0"}
|
||||
},
|
||||
GridBoxAlignment->{
|
||||
"Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
|
||||
"RowsIndexed" -> {}},
|
||||
GridBoxSpacings->{"Columns" -> {
|
||||
Offset[0.27999999999999997`], {
|
||||
Offset[0.7]},
|
||||
Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
|
||||
Offset[0.2], {
|
||||
Offset[0.4]},
|
||||
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
|
||||
Function[BoxForm`e$,
|
||||
MatrixForm[BoxForm`e$]]]], "Output",
|
||||
CellChangeTimes->{{3.6942934848800297`*^9, 3.694293510379167*^9}, {
|
||||
3.694293591310405*^9, 3.694293628362492*^9}}],
|
||||
|
||||
Cell[BoxData[
|
||||
TagBox[
|
||||
RowBox[{"(", "\[NoBreak]", GridBox[{
|
||||
{
|
||||
RowBox[{"-", "0.25452891888633644`"}], "3.9497832842151723`",
|
||||
RowBox[{"-", "6.956210966956014`"}],
|
||||
RowBox[{"-", "1.1605509642484506`"}]},
|
||||
{
|
||||
RowBox[{"-", "9.759118843088793`"}], "5.857502491851477`",
|
||||
"2.261037884838345`", "7.119654104319878`"},
|
||||
{
|
||||
RowBox[{"-", "2.281513144390619`"}],
|
||||
RowBox[{"-", "6.615660517890536`"}], "0.8161523737384115`",
|
||||
"6.455639430863592`"},
|
||||
{"7.570477003311133`", "7.839673906449725`",
|
||||
RowBox[{"-", "0.1228536610401676`"}],
|
||||
RowBox[{"-", "3.5575684207365654`"}]}
|
||||
},
|
||||
GridBoxAlignment->{
|
||||
"Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
|
||||
"RowsIndexed" -> {}},
|
||||
GridBoxSpacings->{"Columns" -> {
|
||||
Offset[0.27999999999999997`], {
|
||||
Offset[0.7]},
|
||||
Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
|
||||
Offset[0.2], {
|
||||
Offset[0.4]},
|
||||
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
|
||||
Function[BoxForm`e$,
|
||||
MatrixForm[BoxForm`e$]]]], "Output",
|
||||
CellChangeTimes->{{3.6942934848800297`*^9, 3.694293510379167*^9}, {
|
||||
3.694293591310405*^9, 3.694293628381173*^9}}]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[{
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"mat", "[",
|
||||
RowBox[{"-", "gt"}], "]"}], ".", "rhsv"}], "//",
|
||||
"MatrixForm"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"rhsv", ".",
|
||||
RowBox[{"mat", "[",
|
||||
RowBox[{"-", "gt"}], "]"}]}], "//", "MatrixForm"}]}], "Input",
|
||||
CellChangeTimes->{{3.694293596046916*^9, 3.694293618686639*^9}, {
|
||||
3.6942936668548403`*^9, 3.694293671450027*^9}, {3.6942939975199223`*^9,
|
||||
3.694294027927437*^9}}],
|
||||
|
||||
Cell[BoxData[
|
||||
TagBox[
|
||||
RowBox[{"(", "\[NoBreak]",
|
||||
TagBox[GridBox[{
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "2", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "3", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "0", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "1", "]"}]}]}
|
||||
},
|
||||
GridBoxAlignment->{
|
||||
"Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
|
||||
"RowsIndexed" -> {}},
|
||||
GridBoxSpacings->{"Columns" -> {
|
||||
Offset[0.27999999999999997`], {
|
||||
Offset[0.5599999999999999]},
|
||||
Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
|
||||
Offset[0.2], {
|
||||
Offset[0.4]},
|
||||
Offset[0.2]}, "RowsIndexed" -> {}}],
|
||||
Column], "\[NoBreak]", ")"}],
|
||||
Function[BoxForm`e$,
|
||||
MatrixForm[BoxForm`e$]]]], "Output",
|
||||
CellChangeTimes->{{3.694293605879734*^9, 3.69429361931848*^9},
|
||||
3.694293671734251*^9, {3.6942940079400787`*^9, 3.694294028852909*^9}}],
|
||||
|
||||
Cell[BoxData[
|
||||
TagBox[
|
||||
RowBox[{"(", "\[NoBreak]",
|
||||
TagBox[GridBox[{
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "2", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "3", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "0", "]"}]}]},
|
||||
{
|
||||
RowBox[{"-",
|
||||
RowBox[{"rhs", "[", "1", "]"}]}]}
|
||||
},
|
||||
GridBoxAlignment->{
|
||||
"Columns" -> {{Center}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
|
||||
"RowsIndexed" -> {}},
|
||||
GridBoxSpacings->{"Columns" -> {
|
||||
Offset[0.27999999999999997`], {
|
||||
Offset[0.5599999999999999]},
|
||||
Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
|
||||
Offset[0.2], {
|
||||
Offset[0.4]},
|
||||
Offset[0.2]}, "RowsIndexed" -> {}}],
|
||||
Column], "\[NoBreak]", ")"}],
|
||||
Function[BoxForm`e$,
|
||||
MatrixForm[BoxForm`e$]]]], "Output",
|
||||
CellChangeTimes->{{3.694293605879734*^9, 3.69429361931848*^9},
|
||||
3.694293671734251*^9, {3.6942940079400787`*^9, 3.6942940288814163`*^9}}]
|
||||
}, Open ]],
|
||||
|
||||
Cell["Generation of the abstract algebra:", "Text",
|
||||
CellChangeTimes->{{3.6942090658330803`*^9, 3.694209076132119*^9}}],
|
||||
|
||||
@ -460,10 +303,32 @@ Cell[BoxData[{
|
||||
RowBox[{
|
||||
RowBox[{"-", "i1_"}], ",",
|
||||
RowBox[{"-", "i2_"}]}], "]"}], ":=",
|
||||
RowBox[{"i1", ".", "i2"}]}], ";"}]}], "Input",
|
||||
RowBox[{"i1", ".", "i2"}]}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"Do", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"ConjugateTranspose", "[", "i", "]"}], "=",
|
||||
RowBox[{
|
||||
RowBox[{"Select", "[",
|
||||
RowBox[{"alg", ",",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"ConjugateTranspose", "[",
|
||||
RowBox[{"mat", "[", "i", "]"}], "]"}], "\[Equal]",
|
||||
RowBox[{"mat", "[", "#", "]"}]}], "&"}]}], "]"}], "[",
|
||||
RowBox[{"[", "1", "]"}], "]"}]}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{"i", ",", "palg"}], "}"}]}], "]"}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"ConjugateTranspose", "[",
|
||||
RowBox[{"-", "i_"}], "]"}], ":=",
|
||||
RowBox[{"-",
|
||||
RowBox[{"ConjugateTranspose", "[", "i", "]"}]}]}]}], "Input",
|
||||
CellChangeTimes->{{3.6941860329437103`*^9, 3.6941860343133917`*^9}, {
|
||||
3.694186163571176*^9, 3.6941862016761427`*^9}, {3.69418700219066*^9,
|
||||
3.6941870425469627`*^9}}],
|
||||
3.6941870425469627`*^9}, {3.694297326197534*^9, 3.6942974062629423`*^9}, {
|
||||
3.694297634175386*^9, 3.6942976496897383`*^9}}],
|
||||
|
||||
Cell["Check that we can reconstruct the Euclidean metric:", "Text",
|
||||
CellChangeTimes->{{3.694209080190936*^9, 3.694209096585559*^9}}],
|
||||
@ -516,7 +381,8 @@ Cell[BoxData[
|
||||
3.694214216283064*^9, 3.694214744924881*^9, 3.694214869005068*^9, {
|
||||
3.694214931160738*^9, 3.6942149565175247`*^9}, 3.69421520140513*^9,
|
||||
3.694215303184371*^9, 3.694215388782826*^9, 3.694215532274271*^9,
|
||||
3.694293468120837*^9}]
|
||||
3.694293468120837*^9, 3.69429409699356*^9, 3.694297655587861*^9,
|
||||
3.694297827778974*^9, 3.694297902050129*^9, 3.694298417447421*^9}]
|
||||
}, Open ]],
|
||||
|
||||
Cell["Full multiplication table:", "Text",
|
||||
@ -699,7 +565,8 @@ Cell[BoxData[
|
||||
3.694214216368701*^9, 3.694214744992138*^9, 3.694214869090289*^9, {
|
||||
3.694214931237383*^9, 3.6942149565897913`*^9}, 3.6942152015279818`*^9,
|
||||
3.694215303248364*^9, 3.694215388866436*^9, 3.694215532359406*^9,
|
||||
3.694293468220346*^9}]
|
||||
3.694293468220346*^9, 3.694294097121203*^9, 3.694297655690278*^9,
|
||||
3.694297827858612*^9, 3.694297902125073*^9, 3.694298417530912*^9}]
|
||||
}, Open ]]
|
||||
}, Open ]],
|
||||
|
||||
@ -733,18 +600,18 @@ generated by the Mathematica notebook gamma-gen/gamma-gen.nb\n\n#include \
|
||||
RowBox[{"out", "=",
|
||||
RowBox[{
|
||||
"out", "<>",
|
||||
"\"\< static const std::array<const char *, nGamma> \
|
||||
name;\n static const std::array<std::array<Algebra, nGamma>, nGamma> \
|
||||
mul;\n Algebra g;\n \
|
||||
public:\n Gamma(Algebra initg): g(initg) {} \n};\n\>\""}]}], ";",
|
||||
"\[IndentingNewLine]",
|
||||
"\"\< static const std::array<const char *, nGamma> \
|
||||
name;\n static const std::array<std::array<Algebra, nGamma>, nGamma> mul;\n\
|
||||
static const std::array<Algebra, nGamma> adj;\n \
|
||||
Algebra g;\n public:\n \
|
||||
Gamma(Algebra initg): g(initg) {} \n};\n\ninline Gamma operator*(const \
|
||||
Gamma &g1, const Gamma &g2)\n{\n return Gamma(Gamma::mul[g1.g][g2.g]);\n}\n\n\
|
||||
inline Gamma adj(const Gamma &g)\n{\n return Gamma(Gamma::adj[g.g]);\n}\n\n\
|
||||
\>\""}]}], ";", "\[IndentingNewLine]",
|
||||
RowBox[{"out", " ", "=",
|
||||
RowBox[{"out", "<>", "funcCode"}]}], ";", "\[IndentingNewLine]",
|
||||
RowBox[{"out", "=",
|
||||
RowBox[{
|
||||
"out", "<>",
|
||||
"\"\<\ninline Gamma operator*(const Gamma &g1, const Gamma &g2)\n{\n \
|
||||
return Gamma(Gamma::mul[g1.g][g2.g]);\n}\n\n}}\n\n#endif\n\>\""}]}], ";",
|
||||
RowBox[{"out", "<>", "\"\<\n}}\n\n#endif\n\>\""}]}], ";",
|
||||
"\[IndentingNewLine]",
|
||||
RowBox[{"Return", "[", "out", "]"}]}]}], "]"}]}]], "Input",
|
||||
CellChangeTimes->{{3.69419645529875*^9, 3.694196727399803*^9}, {
|
||||
@ -760,7 +627,8 @@ return Gamma(Gamma::mul[g1.g][g2.g]);\n}\n\n}}\n\n#endif\n\>\""}]}], ";",
|
||||
3.694214209845763*^9, 3.6942142108217773`*^9}, {3.694214621189205*^9,
|
||||
3.694214647829077*^9}, {3.694214730808668*^9, 3.6942148593149223`*^9}, {
|
||||
3.694214900404429*^9, 3.694214905595294*^9}, {3.6942155281289682`*^9,
|
||||
3.6942155289376802`*^9}}],
|
||||
3.6942155289376802`*^9}, {3.694297793776082*^9, 3.694297819122456*^9}, {
|
||||
3.694297854809973*^9, 3.694297889420939*^9}}],
|
||||
|
||||
Cell["Gamma enum generation:", "Text",
|
||||
CellFrame->{{0, 0}, {0, 0.5}},
|
||||
@ -1472,7 +1340,34 @@ Gamma::nGamma> \nGamma::mul = {{\\n\>\""}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{"i1", ",", "alg"}], "}"}]}], "]"}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"out", "=",
|
||||
RowBox[{"out", "<>", "\"\<\\n}};\>\""}]}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{"out", "<>", "\"\<\\n}};\\n\\n\>\""}]}],
|
||||
";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"out", " ", "=", " ",
|
||||
RowBox[{
|
||||
"out", "<>",
|
||||
"\"\<const std::array<Gamma::Algebra, Gamma::nGamma> Gamma::adj = \
|
||||
{\\n\>\""}]}], ";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"Do", "[", "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"out", "=",
|
||||
RowBox[{"out", "<>", "\"\< Gamma::\>\"", "<>",
|
||||
RowBox[{"enum", "[",
|
||||
RowBox[{"i", "\[ConjugateTranspose]"}], "]"}], "<>",
|
||||
RowBox[{"If", "[",
|
||||
RowBox[{
|
||||
RowBox[{"i", "\[Equal]",
|
||||
RowBox[{"Last", "[", "alg", "]"}]}], ",", "\"\<\>\"", ",",
|
||||
"\"\<,\\n\>\"", ",", "\"\<,\\n\>\""}], "]"}]}]}], ",",
|
||||
"\[IndentingNewLine]",
|
||||
RowBox[{"{",
|
||||
RowBox[{"i", ",", "alg"}], "}"}]}], "]"}],
|
||||
";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"out", "=",
|
||||
RowBox[{"out", "<>", "\"\<\\n};\\n\>\""}]}],
|
||||
";"}], "\[IndentingNewLine]",
|
||||
RowBox[{
|
||||
RowBox[{"file", "=",
|
||||
RowBox[{"OpenWrite", "[", "\"\<GammaMulTable.h\>\"", "]"}]}],
|
||||
@ -1495,7 +1390,9 @@ Gamma::nGamma> \nGamma::mul = {{\\n\>\""}], ";"}], "\[IndentingNewLine]",
|
||||
3.6942094865108747`*^9}, {3.694211744604581*^9, 3.6942117644193983`*^9}, {
|
||||
3.694211794987585*^9, 3.694211795663188*^9}, 3.694213436760853*^9, {
|
||||
3.6942134707645893`*^9, 3.69421347411766*^9}, {3.694215381435295*^9,
|
||||
3.694215385261436*^9}}],
|
||||
3.694215385261436*^9}, {3.694297237092742*^9, 3.6942972934131393`*^9}, {
|
||||
3.6942974934555683`*^9, 3.694297566898333*^9}, {3.694297598113819*^9,
|
||||
3.694297609176114*^9}, {3.694297683998802*^9, 3.694297711493322*^9}}],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
@ -1560,7 +1457,7 @@ Cell[BoxData[
|
||||
}, Open ]]
|
||||
},
|
||||
WindowSize->{1246, 1005},
|
||||
WindowMargins->{{213, Automatic}, {Automatic, 0}},
|
||||
WindowMargins->{{64, Automatic}, {Automatic, 0}},
|
||||
FrontEndVersion->"11.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (September \
|
||||
21, 2016)",
|
||||
StyleDefinitions->"Default.nb"
|
||||
@ -1578,54 +1475,44 @@ CellTagsIndex->{}
|
||||
Notebook[{
|
||||
Cell[558, 20, 1295, 18, 502, "Text"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[1878, 42, 393, 8, 75, "Input"],
|
||||
Cell[2274, 52, 680, 10, 32, "Output"]
|
||||
Cell[1878, 42, 513, 10, 75, "Input"],
|
||||
Cell[2394, 54, 821, 12, 32, "Output"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[2991, 67, 114, 1, 64, "Section"],
|
||||
Cell[3108, 70, 475, 14, 54, "Input"],
|
||||
Cell[3586, 86, 139, 1, 30, "Text"],
|
||||
Cell[3728, 89, 5454, 168, 427, "Input"],
|
||||
Cell[3252, 71, 114, 1, 64, "Section"],
|
||||
Cell[3369, 74, 475, 14, 54, "Input"],
|
||||
Cell[3847, 90, 190, 2, 30, "Text"],
|
||||
Cell[4040, 94, 5454, 168, 427, "Input"],
|
||||
Cell[9497, 264, 119, 1, 30, "Text"],
|
||||
Cell[9619, 267, 2115, 63, 96, "Input"],
|
||||
Cell[11737, 332, 133, 1, 30, "Text"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[9207, 261, 547, 16, 54, "Input"],
|
||||
Cell[9757, 279, 820, 23, 92, "Output"],
|
||||
Cell[10580, 304, 1245, 31, 92, "Output"]
|
||||
Cell[11895, 337, 479, 15, 32, "Input"],
|
||||
Cell[12377, 354, 1398, 30, 96, "Output"]
|
||||
}, Open ]],
|
||||
Cell[13790, 387, 110, 1, 30, "Text"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[11862, 340, 448, 12, 54, "Input"],
|
||||
Cell[12313, 354, 1028, 31, 96, "Output"],
|
||||
Cell[13344, 387, 1030, 31, 96, "Output"]
|
||||
}, Open ]],
|
||||
Cell[14389, 421, 119, 1, 30, "Text"],
|
||||
Cell[14511, 424, 1295, 41, 96, "Input"],
|
||||
Cell[15809, 467, 133, 1, 30, "Text"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[15967, 472, 479, 15, 32, "Input"],
|
||||
Cell[16449, 489, 1285, 29, 96, "Output"]
|
||||
}, Open ]],
|
||||
Cell[17749, 521, 110, 1, 30, "Text"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[17884, 526, 476, 12, 32, "Input"],
|
||||
Cell[18363, 540, 6339, 161, 312, "Output"]
|
||||
Cell[13925, 392, 476, 12, 32, "Input"],
|
||||
Cell[14404, 406, 6453, 162, 312, "Output"]
|
||||
}, Open ]]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[24751, 707, 117, 1, 64, "Section"],
|
||||
Cell[24871, 710, 128, 2, 38, "Text"],
|
||||
Cell[25002, 714, 2518, 48, 747, "Input"],
|
||||
Cell[27523, 764, 164, 3, 38, "Text"],
|
||||
Cell[27690, 769, 4876, 148, 684, "Input"],
|
||||
Cell[32569, 919, 2588, 55, 201, "Input"],
|
||||
Cell[35160, 976, 149, 2, 38, "Text"],
|
||||
Cell[35312, 980, 17242, 426, 3456, "Input"],
|
||||
Cell[52557, 1408, 137, 2, 38, "Text"],
|
||||
Cell[52697, 1412, 468, 11, 32, "Input"]
|
||||
Cell[20906, 574, 117, 1, 64, "Section"],
|
||||
Cell[21026, 577, 128, 2, 38, "Text"],
|
||||
Cell[21157, 581, 2742, 49, 894, "Input"],
|
||||
Cell[23902, 632, 164, 3, 38, "Text"],
|
||||
Cell[24069, 637, 4876, 148, 684, "Input"],
|
||||
Cell[28948, 787, 2588, 55, 201, "Input"],
|
||||
Cell[31539, 844, 149, 2, 38, "Text"],
|
||||
Cell[31691, 848, 17242, 426, 3456, "Input"],
|
||||
Cell[48936, 1276, 137, 2, 38, "Text"],
|
||||
Cell[49076, 1280, 468, 11, 32, "Input"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[53202, 1428, 116, 1, 64, "Section"],
|
||||
Cell[53321, 1431, 3046, 66, 285, "Input"],
|
||||
Cell[56370, 1499, 2179, 48, 432, "Input"],
|
||||
Cell[58552, 1549, 397, 9, 32, "Input"]
|
||||
Cell[49581, 1296, 116, 1, 64, "Section"],
|
||||
Cell[49700, 1299, 4128, 95, 390, "Input"],
|
||||
Cell[53831, 1396, 2179, 48, 432, "Input"],
|
||||
Cell[56013, 1446, 397, 9, 32, "Input"]
|
||||
}, Open ]]
|
||||
}
|
||||
]
|
||||
|
||||
@ -160,7 +160,7 @@ void checkMat(const Gamma::Algebra a, GridSerialRNG &rng)
|
||||
void checkProd(const Gamma::Algebra a, const Gamma::Algebra b)
|
||||
{
|
||||
SpinMatrix gm, testg = testAlgebra[a]*testAlgebra[b];
|
||||
Gamma ga(a), gb(b), g = ga*gb;
|
||||
Gamma g = Gamma(a)*Gamma(b);
|
||||
bool pass = true;
|
||||
|
||||
std::cout << GridLogMessage << "Checking " << Gamma::name[a] << " * "
|
||||
@ -171,6 +171,19 @@ void checkProd(const Gamma::Algebra a, const Gamma::Algebra b)
|
||||
std::cout << "(= " << Gamma::name[g.g] << ")" << std::endl;
|
||||
}
|
||||
|
||||
void checkAdj(const Gamma::Algebra a)
|
||||
{
|
||||
SpinMatrix gm, testg = adj(testAlgebra[a]);
|
||||
Gamma g(adj(Gamma(a)));
|
||||
bool pass = true;
|
||||
|
||||
std::cout << GridLogMessage << "Checking adj(" << Gamma::name[a] << "): ";
|
||||
gm = 1.0;
|
||||
gm = g*gm;
|
||||
test(gm, testg);
|
||||
std::cout << "(= " << Gamma::name[g.g] << ")" << std::endl;
|
||||
}
|
||||
|
||||
void checkProject(GridSerialRNG &rng)
|
||||
{
|
||||
SpinVector rv, recon, full;
|
||||
@ -227,8 +240,15 @@ int main(int argc, char *argv[])
|
||||
checkProd(i, j);
|
||||
}
|
||||
std::cout << GridLogMessage << std::endl;
|
||||
std::cout << GridLogMessage << "======== Adjoints check" << std::endl;
|
||||
for (int i = 0; i < Gamma::nGamma; ++i)
|
||||
{
|
||||
checkAdj(i);
|
||||
}
|
||||
std::cout << GridLogMessage << std::endl;
|
||||
std::cout << GridLogMessage << "======== Spin projectors check" << std::endl;
|
||||
checkProject(sRNG);
|
||||
std::cout << GridLogMessage << std::endl;
|
||||
|
||||
Grid_finalize();
|
||||
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user