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p3a_unit_tests_mandel.cpp
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#include "gtest/gtest.h"
#include "p3a_mandel3x6.hpp"
#include "p3a_mandel6x3.hpp"
#include "p3a_mandel6x6.hpp"
using Y = double;
Y abs_err = Y(5.) * p3a::epsilon_value<Y>();
struct TestData {
Y const r1 = 0.2946950525769927;
p3a::vector3<Y> v;
p3a::vector3<Y> vp;
p3a::mandel6x1<Y> V;
p3a::mandel6x1<Y> VinvX;
p3a::mandel6x1<Y> ident;
p3a::symmetric3x3<Y> Vsymm;
p3a::diagonal3x3<Y> Vdiag;
p3a::mandel6x1<Y> Vp;
p3a::mandel6x1<Y> VpinvX;
p3a::matrix3x3<Y> TV;
p3a::static_matrix<Y,3,3> TVstatic;
p3a::mandel6x6<Y> C;
p3a::static_matrix<Y,6,6> Cstatic;
p3a::mandel6x6<Y> CinvX;
p3a::mandel6x6<Y> Ident;
p3a::mandel6x6<Y> Cp;
p3a::mandel6x6<Y> CpinvX;
p3a::mandel3x6<Y> e36;
p3a::mandel3x6<Y> e36invX;
p3a::mandel3x6<Y> e36p;
p3a::mandel3x6<Y> e36pinvX;
p3a::mandel6x3<Y> e63;
p3a::mandel6x3<Y> e63invX;
p3a::mandel6x3<Y> e63p;
p3a::mandel6x3<Y> e63pinvX;
TestData() : v(0.5403153418505242, 0.1916615978226233, 0.7913471057605709),
vp(0.2588658912519261, 0.9328687907855321, 0.2121274165250259),
V(0.3458750937599743, 0.1560730533788416, 0.6018325296947370,
1.3672391918240188, 0.0056991146342982, 1.1552653743154688,false),
ident(1.0, 1.0, 1.0, 0.0, 0.0, 0.0, false),
Vsymm(0.3458750937599743, 0.8168959802484831, 0.0040298826046717,
0.1560730533788416, 0.9667841040427784,
0.6018325296947370),
Vdiag(0.3458750937599743, 0.8168959802484831, 0.0040298826046717),
Vp(0.0332809212161841, 0.0487815715174135, 0.8094624540252358,
0.4008775383705890, 0.6915662506016785, 0.1162162432201077,false),
TV(0.3458750937599743, 0.8168959802484831, 0.0040298826046717,
0.8168959802484831, 0.1560730533788416, 0.9667841040427785,
0.0040298826046717, 0.9667841040427785, 0.6018325296947370),
C(0.4335153608215544, 0.0856007508096491, 0.6181864586228960, 1.0180326366236518, 0.9998149495390550, 1.3248978263217353,
0.4327952022077987, 0.3742135173559312, 0.1080020759711545, 0.8147725263605445, 0.9048931279343728, 1.2476465544083184,
0.1619267043337781, 0.8255468602509465, 0.4823784238849611, 0.6837503075397613, 0.0784973317433504, 0.8368479998334433,
0.0112200396694362, 0.8194354458300377, 1.1074040005476036, 0.6118023983888154, 0.4369542629777867, 0.6474343145633832,
0.0836906759361557, 0.9338502039452401, 0.9911298229891556, 1.6059479559586896, 1.9166663623233735, 0.8109702524757447,
0.0501618784358511, 0.9139519661627958, 0.4597365381087316, 1.0569116390136390, 0.6655431451182421, 0.9678972164817718,
false),
Ident(1.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 1.0,
false),
Cp(0.2107177965118975, 0.1575416472166756, 0.5687654031408809, 0.0187036991768127, 0.3377232536213498, 1.2061579849914903,
0.9690547680956271, 0.3015620428716760, 0.0117926801846069, 0.9799577916244374, 1.3212262938876842, 1.1437745297112247,
0.9477962697578962, 0.8362711354333037, 0.5573723018243313, 1.1469535452828015, 1.3018482448421571, 1.2345256143574863,
1.1283311601253478, 0.8511773708296858, 0.5606130265475940, 1.7722378395723914, 0.5637212302658510, 1.2310906790509168,
0.7107977300479361, 0.1201771916290927, 0.8985377565988617, 1.6007054847018209, 1.8945186334241886, 1.6472528162998632,
0.6135597538445192, 1.1831257314989769, 1.2978577062887620, 0.0659440885591793, 1.6164910199618434, 1.8004733085589755,
false),
e36(0.8076127837790422, 0.0119054861420681, 0.3198164644230427, 0.1899714025547371, 0.0810795183410036, 0.3999599660633990,
0.0453167988352610, 0.2818248347311008, 0.1508671814551668, 0.2127405166893033, 0.6128683635764686, 0.4153444264017785,
0.5405046604793561, 0.4391783723249735, 0.4128631387354691, 0.5546654249524924, 0.6862523687819362, 0.6488819206134113,
false),
e36p(0.1350855076155520, 0.0231767044698068, 0.9464219592050042, 0.1065057861528435, 0.2688248383393013, 0.1909939208122375,
0.6097426473273645, 0.7344489953830811, 0.8160894918005591, 0.3734452187287570, 0.2222233196071084, 0.5049930480412529,
0.2163593876325339, 0.0370067441280660, 0.3742486996899349, 0.3756620371052928, 0.2105298764336539, 0.3698923292958400,
false),
e63(0.4759634421237341, 0.8867644229624673, 0.4135404273124733,
0.8568504365470173, 0.1472947329145138, 0.4477610978101461,
0.7307484706668289, 0.2502091219941188, 0.0617040225205491,
0.4119163419942556, 0.1499018857533562, 0.3357608808746134,
0.3481855982554204, 0.5219168123093268, 0.6767633687457478,
0.1958577356414437, 0.3181944873075155, 0.2417581438483243,
false),
e63p(0.5608766530609716, 0.1521742176592169, 0.0109210634329266,
0.2873082726699938, 0.5245336001209888, 0.6563889052851136,
0.8040961321642845, 0.2438452443118183, 0.9532018807957614,
0.4882124674604895, 0.5228073932512954, 0.4459480468559615,
0.1874635649351754, 0.2063901066888893, 0.2852170092848386,
0.7058726767702264, 0.4070564297078077, 0.3017792316742351,
false) {
VinvX = V;
VinvX.invMandelXform();
VpinvX = Vp;
VpinvX.invMandelXform();
CinvX = C;
CinvX.invMandelXform();
CpinvX = Cp;
CpinvX.invMandelXform();
e36invX = e36;
e36invX.invMandelXform();
e36pinvX = e36p;
e36pinvX.invMandelXform();
e63invX = e63;
e63invX.invMandelXform();
e63pinvX = e63p;
e63pinvX.invMandelXform();
TVstatic(0,0)=0.3458750937599743;
TVstatic(0,1)=0.8168959802484831;
TVstatic(0,2)=0.0040298826046717;
TVstatic(1,0)=0.8168959802484831;
TVstatic(1,1)=0.1560730533788416;
TVstatic(1,2)=0.9667841040427785;
TVstatic(2,0)=0.0040298826046717;
TVstatic(2,1)=0.9667841040427785;
TVstatic(2,2)=0.6018325296947370;
Cstatic(0,0)=0.4335153608215544;
Cstatic(0,1)=0.0856007508096491;
Cstatic(0,2)=0.6181864586228960;
Cstatic(0,3)=0.7198577808258045;
Cstatic(0,4)=0.7069759307507516;
Cstatic(0,5)=0.9368442373714156;
Cstatic(1,0)=0.4327952022077987;
Cstatic(1,1)=0.3742135173559312;
Cstatic(1,2)=0.1080020759711545;
Cstatic(1,3)=0.5761311785140361;
Cstatic(1,4)=0.6398560670115011;
Cstatic(1,5)=0.8822193391461527;
Cstatic(2,0)=0.1619267043337781;
Cstatic(2,1)=0.8255468602509465;
Cstatic(2,2)=0.4823784238849611;
Cstatic(2,3)=0.4834844790997526;
Cstatic(2,4)=0.0555059955807731;
Cstatic(2,5)=0.5917408955046265;
Cstatic(3,0)=0.0079337661354404;
Cstatic(3,1)=0.5794283604910414;
Cstatic(3,2)=0.7830528783003216;
Cstatic(3,3)=0.3059011991944077;
Cstatic(3,4)=0.2184771314888934;
Cstatic(3,5)=0.3237171572816916;
Cstatic(4,0)=0.0591782444765415;
Cstatic(4,1)=0.6603318118221196;
Cstatic(4,2)=0.7008346188718544;
Cstatic(4,3)=0.8029739779793448;
Cstatic(4,4)=0.9583331811616868;
Cstatic(4,5)=0.4054851262378724;
Cstatic(5,0)=0.0354698043990456;
Cstatic(5,1)=0.6462616329524909;
Cstatic(5,2)=0.3250828236559117;
Cstatic(5,3)=0.5284558195068195;
Cstatic(5,4)=0.3327715725591210;
Cstatic(5,5)=0.4839486082408859;
}
};
/**************************************************************************
* Test Mandel Inverses:
* Many tests rely on the inverse being correct
*************************************************************************/
TEST(mandel_tensors,LinAlg2ndOrderMandelVectorInverseV){
TestData td;
const auto & V = td.V;
const auto & ident = td.ident;
p3a::mandel6x1 T = inverse(V);
p3a::mandel6x1 I = T*V;
EXPECT_NEAR(ident.x1(),I.x1(),abs_err) << "I.x1";
EXPECT_NEAR(ident.x2(),I.x2(),abs_err) << "I.x2";
EXPECT_NEAR(ident.x3(),I.x3(),abs_err) << "I.x3";
EXPECT_NEAR(ident.x4(),I.x4(),abs_err) << "I.x4";
EXPECT_NEAR(ident.x5(),I.x5(),abs_err) << "I.x5";
EXPECT_NEAR(ident.x6(),I.x6(),abs_err) << "I.x6";
}
TEST(mandel_tensors,LinAlg4thOrderMandelTensorInverseC){
TestData td;
const auto & C = td.C;
const auto & Ident = td.Ident;
p3a::mandel6x6 Ct = C;
Ct.MandelXform();
p3a::mandel6x6 St = inverse(Ct);
St.invMandelXform();
p3a::mandel6x6 S = C*St;
EXPECT_NEAR(Ident.x11(),S.x11(),abs_err) << "S.x11()";
EXPECT_NEAR(Ident.x12(),S.x12(),abs_err) << "S.x12()";
EXPECT_NEAR(Ident.x13(),S.x13(),abs_err) << "S.x13()";
EXPECT_NEAR(Ident.x14(),S.x14(),abs_err) << "S.x14()";
EXPECT_NEAR(Ident.x15(),S.x15(),abs_err) << "S.x15()";
EXPECT_NEAR(Ident.x16(),S.x16(),abs_err) << "S.x16()";
EXPECT_NEAR(Ident.x21(),S.x21(),abs_err) << "S.x21()";
EXPECT_NEAR(Ident.x22(),S.x22(),abs_err) << "S.x22()";
EXPECT_NEAR(Ident.x23(),S.x23(),abs_err) << "S.x23()";
EXPECT_NEAR(Ident.x24(),S.x24(),abs_err) << "S.x24()";
EXPECT_NEAR(Ident.x25(),S.x25(),abs_err) << "S.x25()";
EXPECT_NEAR(Ident.x26(),S.x26(),abs_err) << "S.x26()";
EXPECT_NEAR(Ident.x31(),S.x31(),abs_err) << "S.x31()";
EXPECT_NEAR(Ident.x32(),S.x32(),abs_err) << "S.x32()";
EXPECT_NEAR(Ident.x33(),S.x33(),abs_err) << "S.x33()";
EXPECT_NEAR(Ident.x34(),S.x34(),abs_err) << "S.x34()";
EXPECT_NEAR(Ident.x35(),S.x35(),abs_err) << "S.x35()";
EXPECT_NEAR(Ident.x36(),S.x36(),abs_err) << "S.x36()";
EXPECT_NEAR(Ident.x41(),S.x41(),abs_err) << "S.x41()";
EXPECT_NEAR(Ident.x42(),S.x42(),abs_err) << "S.x42()";
EXPECT_NEAR(Ident.x43(),S.x43(),abs_err) << "S.x43()";
EXPECT_NEAR(Ident.x44(),S.x44(),abs_err) << "S.x44()";
EXPECT_NEAR(Ident.x45(),S.x45(),abs_err) << "S.x45()";
EXPECT_NEAR(Ident.x46(),S.x46(),abs_err) << "S.x46()";
EXPECT_NEAR(Ident.x51(),S.x51(),abs_err) << "S.x51()";
EXPECT_NEAR(Ident.x52(),S.x52(),abs_err) << "S.x52()";
EXPECT_NEAR(Ident.x53(),S.x53(),abs_err) << "S.x53()";
EXPECT_NEAR(Ident.x54(),S.x54(),abs_err) << "S.x54()";
EXPECT_NEAR(Ident.x55(),S.x55(),abs_err) << "S.x55()";
EXPECT_NEAR(Ident.x56(),S.x56(),abs_err) << "S.x56()";
EXPECT_NEAR(Ident.x61(),S.x61(),abs_err) << "S.x61()";
EXPECT_NEAR(Ident.x62(),S.x62(),abs_err) << "S.x62()";
EXPECT_NEAR(Ident.x63(),S.x63(),abs_err) << "S.x63()";
EXPECT_NEAR(Ident.x64(),S.x64(),abs_err) << "S.x64()";
EXPECT_NEAR(Ident.x65(),S.x65(),abs_err) << "S.x65()";
EXPECT_NEAR(Ident.x66(),S.x66(),abs_err) << "S.x66()";
}
/**************************************************************************
* Constructor tests for p3a::mandel6x1 (2nd-order tensors)
*************************************************************************/
TEST(mandel_tensors,Construct2ndOrderVfromListxform){
TestData td;
const auto & V = td.V;
p3a::mandel6x1 Vt = V; //V made from list initially
EXPECT_FLOAT_EQ(V.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(V.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(V.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(V.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(V.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(V.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVfromMatrix3x3Vxform){
TestData td;
const auto & V = td.V;
const auto & TV = td.TV;
p3a::mandel6x1 Vt = TV;
EXPECT_FLOAT_EQ(V.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(V.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(V.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(V.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(V.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(V.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVfromMatrix3x3V){
TestData td;
const auto & VinvX = td.VinvX;
p3a::mandel6x1 Vt(td.TV);
Vt.invMandelXform();
EXPECT_FLOAT_EQ(VinvX.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(VinvX.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(VinvX.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(VinvX.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(VinvX.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(VinvX.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVconvertfromStaticMatrixVxform){
TestData td;
const auto & V = td.V;
const auto & TV = td.TVstatic;
p3a::mandel6x1<Y> Vt = TV;
EXPECT_FLOAT_EQ(V.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(V.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(V.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(V.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(V.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(V.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVfromStaticMatrixVxform){
TestData td;
const auto & V = td.V;
const auto & TV = td.TVstatic;
p3a::mandel6x1 Vt(TV);
EXPECT_FLOAT_EQ(V.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(V.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(V.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(V.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(V.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(V.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVfromsymmetric3x3Vxform){
TestData td;
const auto & V = td.V;
p3a::mandel6x1 Vt(td.Vsymm);
EXPECT_FLOAT_EQ(V.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(V.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(V.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(V.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(V.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(V.x6(),Vt.x6()) << "V.x6";
}
TEST(mandel_tensors,Construct2ndOrderVfromsymmetric3x3V){
TestData td;
const auto & VinvX = td.VinvX;
p3a::mandel6x1 Vt(td.Vsymm,false);
EXPECT_FLOAT_EQ(VinvX.x1(),Vt.x1()) << "V.x1";
EXPECT_FLOAT_EQ(VinvX.x2(),Vt.x2()) << "V.x2";
EXPECT_FLOAT_EQ(VinvX.x3(),Vt.x3()) << "V.x3";
EXPECT_FLOAT_EQ(VinvX.x4(),Vt.x4()) << "V.x4";
EXPECT_FLOAT_EQ(VinvX.x5(),Vt.x5()) << "V.x5";
EXPECT_FLOAT_EQ(VinvX.x6(),Vt.x6()) << "V.x6";
}
/**************************************************************************
* Basic operation tests for p3a::mandel6x1 (2nd-order tensors)
*************************************************************************/
TEST(mandel_tensors,Basics2ndOrderVplusVp){
TestData td;
p3a::mandel6x1 Us = td.V + td.Vp;
p3a::mandel6x1 U = Us-td.V-td.Vp;
EXPECT_NEAR(0.,U.x1(),abs_err) << "U.x1";
EXPECT_NEAR(0.,U.x2(),abs_err) << "U.x2";
EXPECT_NEAR(0.,U.x3(),abs_err) << "U.x3";
EXPECT_NEAR(0.,U.x4(),abs_err) << "U.x4";
EXPECT_NEAR(0.,U.x5(),abs_err) << "U.x5";
EXPECT_NEAR(0.,U.x6(),abs_err) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderVplusequalVp){
TestData td;
p3a::mandel6x1 Us = td.V;
Us += td.Vp;
p3a::mandel6x1 U = Us-td.V-td.Vp;
EXPECT_NEAR(0.,U.x1(),abs_err) << "U.x1";
EXPECT_NEAR(0.,U.x2(),abs_err) << "U.x2";
EXPECT_NEAR(0.,U.x3(),abs_err) << "U.x3";
EXPECT_NEAR(0.,U.x4(),abs_err) << "U.x4";
EXPECT_NEAR(0.,U.x5(),abs_err) << "U.x5";
EXPECT_NEAR(0.,U.x6(),abs_err) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderVxReal){
TestData td;
const auto & V = td.V;
const auto & r1 = td.r1;
p3a::mandel6x1 U = td.V;
U*=r1;
EXPECT_FLOAT_EQ(V.x1()*r1,U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(V.x2()*r1,U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(V.x3()*r1,U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(V.x4()*r1,U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(V.x5()*r1,U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(V.x6()*r1,U.x6()) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderVdivReal){
TestData td;
const auto & V = td.V;
const auto & r1 = td.r1;
p3a::mandel6x1 U = V;
U /= r1;
EXPECT_FLOAT_EQ(V.x1()/r1,U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(V.x2()/r1,U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(V.x3()/r1,U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(V.x4()/r1,U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(V.x5()/r1,U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(V.x6()/r1,U.x6()) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderVminusVp){
TestData td;
const auto & V = td.V;
const auto & Vp = td.Vp;
p3a::mandel6x1 U = td.V - td.Vp;
EXPECT_FLOAT_EQ(0.,V.x1()-Vp.x1()-U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(0.,V.x2()-Vp.x2()-U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(0.,V.x3()-Vp.x3()-U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(0.,V.x4()-Vp.x4()-U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(0.,V.x5()-Vp.x5()-U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(0.,V.x6()-Vp.x6()-U.x6()) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderBinaryVmultReal){
TestData td;
const auto & V = td.V;
const auto & r1 = td.r1;
p3a::mandel6x1 U = V * r1;
EXPECT_FLOAT_EQ(V.x1()*r1,U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(V.x2()*r1,U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(V.x3()*r1,U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(V.x4()*r1,U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(V.x5()*r1,U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(V.x6()*r1,U.x6()) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderBinaryRealmultV){
TestData td;
const auto & V = td.V;
const auto & r1 = td.r1;
p3a::mandel6x1 U = r1 * V;
EXPECT_FLOAT_EQ(V.x1()*r1,U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(V.x2()*r1,U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(V.x3()*r1,U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(V.x4()*r1,U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(V.x5()*r1,U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(V.x6()*r1,U.x6()) << "U.x6";
}
TEST(mandel_tensors,Basics2ndOrderBinaryVdivReal){
TestData td;
const auto & V = td.V;
const auto & r1 = td.r1;
p3a::mandel6x1 U = V / r1;
EXPECT_FLOAT_EQ(V.x1()/r1,U.x1()) << "U.x1";
EXPECT_FLOAT_EQ(V.x2()/r1,U.x2()) << "U.x2";
EXPECT_FLOAT_EQ(V.x3()/r1,U.x3()) << "U.x3";
EXPECT_FLOAT_EQ(V.x4()/r1,U.x4()) << "U.x4";
EXPECT_FLOAT_EQ(V.x5()/r1,U.x5()) << "U.x5";
EXPECT_FLOAT_EQ(V.x6()/r1,U.x6()) << "U.x6";
}
/**************************************************************************
* Linear Alegbra operation tests for p3a::mandel6x1 (2nd-order tensors)
*************************************************************************/
TEST(mandel_tensors,LinAlg2ndOrderInverseMandelXformV){
TestData td;
const auto & V = td.V;
const auto & VinvX = td.VinvX;
p3a::mandel6x1 T = V;
T.invMandelXform();
EXPECT_FLOAT_EQ(VinvX.x1(),T.x1()) << "T.x1";
EXPECT_FLOAT_EQ(VinvX.x2(),T.x2()) << "T.x2";
EXPECT_FLOAT_EQ(VinvX.x3(),T.x3()) << "T.x3";
EXPECT_FLOAT_EQ(VinvX.x4(),T.x4()) << "T.x4";
EXPECT_FLOAT_EQ(VinvX.x5(),T.x5()) << "T.x5";
EXPECT_FLOAT_EQ(VinvX.x6(),T.x6()) << "T.x6";
}
TEST(mandel_tensors,LinAlg2ndOrderDeterminantV){
TestData td;
Y d = p3a::determinant(td.V);
EXPECT_FLOAT_EQ(-0.6860431470481314,d) << "Determinant of p3a::mandel6x1 V";
}
TEST(mandel_tensors,LinAlg2ndOrderCxV){
TestData td;
p3a::mandel6x1 T = td.C * td.V;
EXPECT_FLOAT_EQ(3.4635476194506110,T.x1()) << "T.x1";
EXPECT_FLOAT_EQ(2.8336057738272911,T.x2()) << "T.x2";
EXPECT_FLOAT_EQ(2.3772421613021302,T.x3()) << "T.x3";
EXPECT_FLOAT_EQ(2.3851731903163613,T.x4()) << "T.x4";
EXPECT_FLOAT_EQ(3.9147136807559804,T.x5()) << "T.x5";
EXPECT_FLOAT_EQ(3.0036995840611000,T.x6()) << "T.x6";
}
TEST(mandel_tensors,LinAlg2ndOrderCxTensorV){
TestData td;
p3a::mandel6x1 T = td.C*td.TV;
EXPECT_FLOAT_EQ(3.4635476194506110,T.x1()) << "T.x1";
EXPECT_FLOAT_EQ(2.8336057738272911,T.x2()) << "T.x2";
EXPECT_FLOAT_EQ(2.3772421613021302,T.x3()) << "T.x3";
EXPECT_FLOAT_EQ(2.3851731903163613,T.x4()) << "T.x4";
EXPECT_FLOAT_EQ(3.9147136807559804,T.x5()) << "T.x5";
EXPECT_FLOAT_EQ(3.0036995840611000,T.x6()) << "T.x6";
}
TEST(mandel_tensors,LinAlg2ndOrdere63xVectorv){
TestData td;
p3a::mandel6x1 T = td.e63*td.v;
EXPECT_FLOAT_EQ(0.7543830564053962,T.x1()) << "T.x1";
EXPECT_FLOAT_EQ(0.8455346292231598,T.x2()) << "T.x2";
EXPECT_FLOAT_EQ(0.4916193894817055,T.x3()) << "T.x3";
EXPECT_FLOAT_EQ(0.5169985553863012,T.x4()) << "T.x4";
EXPECT_FLOAT_EQ(0.8237161638682240,T.x5()) << "T.x5";
EXPECT_FLOAT_EQ(0.3581252106713043,T.x6()) << "T.x6";
}
/**************************************************************************
* physlib::vector3 Conversion tests
*************************************************************************/
TEST(mandel_tensors,VectorConvTestse36xV){
TestData td;
p3a::vector3 T = td.e36*td.V;
EXPECT_FLOAT_EQ(1.1959255529807966,T.x()) << "T.x";
EXPECT_FLOAT_EQ(0.9246490053867547,T.y()) << "T.y";
EXPECT_FLOAT_EQ(2.0158676300370968,T.z()) << "T.z";
}
TEST(mandel_tensors,VectorConvTestsTensorxVector3){
TestData td;
p3a::vector3 T = td.TV*td.v;
EXPECT_FLOAT_EQ(0.3466382442875668,T.x()) << "T.x";
EXPECT_FLOAT_EQ(1.2363564442415020,T.y()) << "T.y";
EXPECT_FLOAT_EQ(0.6637312240540059,T.z()) << "T.z";
}
/**************************************************************************
* Tensor Conversion tests
*************************************************************************/
TEST(mandel_tensors,TensorConvTestsMandelToTensor){
TestData td;
const auto & VinvX = td.VinvX;
p3a::matrix3x3 T = p3a::mandel6x1_to_matrix3x3(td.V);
EXPECT_FLOAT_EQ(VinvX.x1(),T.xx()) << "T.xx()";
EXPECT_FLOAT_EQ(VinvX.x6(),T.xy()) << "T.xy()";
EXPECT_FLOAT_EQ(VinvX.x5(),T.xz()) << "T.xz()";
EXPECT_FLOAT_EQ(VinvX.x6(),T.yx()) << "T.yx()";
EXPECT_FLOAT_EQ(VinvX.x2(),T.yy()) << "T.yy()";
EXPECT_FLOAT_EQ(VinvX.x4(),T.yz()) << "T.yz()";
EXPECT_FLOAT_EQ(VinvX.x5(),T.zx()) << "T.zx()";
EXPECT_FLOAT_EQ(VinvX.x4(),T.zy()) << "T.zy()";
EXPECT_FLOAT_EQ(VinvX.x3(),T.zz()) << "T.zz()";
}
TEST(mandel_tensors,TensorConvTestse36xe63){
TestData td;
p3a::matrix3x3 T = td.e36*td.e63;
EXPECT_FLOAT_EQ(0.8131190728640454,T.xx()) << "T.xx()";
EXPECT_FLOAT_EQ(0.9959957879323522,T.xy()) << "T.xy()";
EXPECT_FLOAT_EQ(0.5743955040157696,T.xz()) << "T.xz()";
EXPECT_FLOAT_EQ(0.7556684864696379,T.yx()) << "T.yx()";
EXPECT_FLOAT_EQ(0.6033617978655575,T.yy()) << "T.yy()";
EXPECT_FLOAT_EQ(0.7408493369039156,T.yz()) << "T.yz()";
EXPECT_FLOAT_EQ(1.5297772340856588,T.zx()) << "T.zx()";
EXPECT_FLOAT_EQ(1.2950737798283347,T.zy()) << "T.zy()";
EXPECT_FLOAT_EQ(1.2531807400797446,T.zz()) << "T.zz()";
}
TEST(mandel_tensors,TensorConvTestsVxTensor){
TestData td;
p3a::matrix3x3 T = td.V*td.TV;
EXPECT_FLOAT_EQ(0.7869648629834085,T.xx()) << "T.xx()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.xy()) << "T.xy()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.xz()) << "T.xz()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.yx()) << "T.yx()";
EXPECT_FLOAT_EQ(1.6263493443669228,T.yy()) << "T.yy()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.yz()) << "T.yz()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.zx()) << "T.zx()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.zy()) << "T.zy()";
EXPECT_FLOAT_EQ(1.2968901375823718,T.zz()) << "T.zz()";
}
TEST(mandel_tensors,TensorConvTestsTensorxV){
TestData td;
p3a::matrix3x3 T = td.TV*td.V;
EXPECT_FLOAT_EQ(0.7869648629834085,T.xx()) << "T.xx()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.xy()) << "T.xy()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.xz()) << "T.xz()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.yx()) << "T.yx()";
EXPECT_FLOAT_EQ(1.6263493443669228,T.yy()) << "T.yy()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.yz()) << "T.yz()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.zx()) << "T.zx()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.zy()) << "T.zy()";
EXPECT_FLOAT_EQ(1.2968901375823718,T.zz()) << "T.zz()";
}
TEST(mandel_tensors,TensorConvTestsTensorxTensor){
TestData td;
p3a::matrix3x3 T = td.TV*td.TV;
EXPECT_FLOAT_EQ(0.7869648629834085,T.xx()) << "T.xx()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.xy()) << "T.xy()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.xz()) << "T.xz()";
EXPECT_FLOAT_EQ(0.4139354501342279,T.yx()) << "T.yx()";
EXPECT_FLOAT_EQ(1.6263493443669228,T.yy()) << "T.yy()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.yz()) << "T.yz()";
EXPECT_FLOAT_EQ(0.7935811988267519,T.zx()) << "T.zx()";
EXPECT_FLOAT_EQ(0.7360230649814389,T.zy()) << "T.zy()";
EXPECT_FLOAT_EQ(1.2968901375823718,T.zz()) << "T.zz()";
}
/**************************************************************************
* symmetric3x3 Conversion tests
*************************************************************************/
TEST(mandel_tensors,symmetric3x3ConvTestsMandelVectorConstructor){
TestData td;
const auto & V = td.V;
const auto & VinvX = td.VinvX;
p3a::symmetric3x3 U = p3a::mandel6x1_to_symmetric3x3(V);
EXPECT_FLOAT_EQ(VinvX.x1(),U.xx()) << "U.x1";
EXPECT_FLOAT_EQ(VinvX.x2(),U.yy()) << "U.x2";
EXPECT_FLOAT_EQ(VinvX.x3(),U.zz()) << "U.x3";
EXPECT_FLOAT_EQ(VinvX.x4(),U.yz()) << "U.x4";
EXPECT_FLOAT_EQ(VinvX.x5(),U.xz()) << "U.x5";
EXPECT_FLOAT_EQ(VinvX.x6(),U.xy()) << "U.x6";
}
/**************************************************************************
* Constructor tests for 4th-order MandelTensors:
*************************************************************************/
TEST(mandel_tensors,Construct4thOrderCfromListxform){
//already done, made from initial setup
TestData td;
const auto &C = td.C;
EXPECT_FLOAT_EQ(0.4335153608215544,C.x11()) << "C.x11()";
EXPECT_FLOAT_EQ(0.0856007508096491,C.x12()) << "C.x12()";
EXPECT_FLOAT_EQ(0.6181864586228960,C.x13()) << "C.x13()";
EXPECT_FLOAT_EQ(1.0180326366236518,C.x14()) << "C.x14()";
EXPECT_FLOAT_EQ(0.9998149495390550,C.x15()) << "C.x15()";
EXPECT_FLOAT_EQ(1.3248978263217353,C.x16()) << "C.x16()";
EXPECT_FLOAT_EQ(0.4327952022077987,C.x21()) << "C.x21()";
EXPECT_FLOAT_EQ(0.3742135173559312,C.x22()) << "C.x22()";
EXPECT_FLOAT_EQ(0.1080020759711545,C.x23()) << "C.x23()";
EXPECT_FLOAT_EQ(0.8147725263605445,C.x24()) << "C.x24()";
EXPECT_FLOAT_EQ(0.9048931279343728,C.x25()) << "C.x25()";
EXPECT_FLOAT_EQ(1.2476465544083184,C.x26()) << "C.x26()";
EXPECT_FLOAT_EQ(0.1619267043337781,C.x31()) << "C.x31()";
EXPECT_FLOAT_EQ(0.8255468602509465,C.x32()) << "C.x32()";
EXPECT_FLOAT_EQ(0.4823784238849611,C.x33()) << "C.x33()";
EXPECT_FLOAT_EQ(0.6837503075397613,C.x34()) << "C.x34()";
EXPECT_FLOAT_EQ(0.0784973317433504,C.x35()) << "C.x35()";
EXPECT_FLOAT_EQ(0.8368479998334433,C.x36()) << "C.x36()";
EXPECT_FLOAT_EQ(0.0112200396694362,C.x41()) << "C.x41()";
EXPECT_FLOAT_EQ(0.8194354458300377,C.x42()) << "C.x42()";
EXPECT_FLOAT_EQ(1.1074040005476036,C.x43()) << "C.x43()";
EXPECT_FLOAT_EQ(0.6118023983888154,C.x44()) << "C.x44()";
EXPECT_FLOAT_EQ(0.4369542629777867,C.x45()) << "C.x45()";
EXPECT_FLOAT_EQ(0.6474343145633832,C.x46()) << "C.x46()";
EXPECT_FLOAT_EQ(0.0836906759361557,C.x51()) << "C.x51()";
EXPECT_FLOAT_EQ(0.9338502039452401,C.x52()) << "C.x52()";
EXPECT_FLOAT_EQ(0.9911298229891556,C.x53()) << "C.x53()";
EXPECT_FLOAT_EQ(1.6059479559586896,C.x54()) << "C.x54()";
EXPECT_FLOAT_EQ(1.9166663623233735,C.x55()) << "C.x55()";
EXPECT_FLOAT_EQ(0.8109702524757447,C.x56()) << "C.x56()";
EXPECT_FLOAT_EQ(0.0501618784358511,C.x61()) << "C.x61()";
EXPECT_FLOAT_EQ(0.9139519661627958,C.x62()) << "C.x62()";
EXPECT_FLOAT_EQ(0.4597365381087316,C.x63()) << "C.x63()";
EXPECT_FLOAT_EQ(1.0569116390136390,C.x64()) << "C.x64()";
EXPECT_FLOAT_EQ(0.6655431451182421,C.x65()) << "C.x65()";
EXPECT_FLOAT_EQ(0.9678972164817718,C.x66()) << "C.x66()";
}
TEST(mandel_tensors,Construct4thOrderCfromC){
//already done, made from initial setup
TestData td;
const auto &C(td.C);
EXPECT_FLOAT_EQ(0.4335153608215544,C.x11()) << "C.x11()";
EXPECT_FLOAT_EQ(0.0856007508096491,C.x12()) << "C.x12()";
EXPECT_FLOAT_EQ(0.6181864586228960,C.x13()) << "C.x13()";
EXPECT_FLOAT_EQ(1.0180326366236518,C.x14()) << "C.x14()";
EXPECT_FLOAT_EQ(0.9998149495390550,C.x15()) << "C.x15()";
EXPECT_FLOAT_EQ(1.3248978263217353,C.x16()) << "C.x16()";
EXPECT_FLOAT_EQ(0.4327952022077987,C.x21()) << "C.x21()";
EXPECT_FLOAT_EQ(0.3742135173559312,C.x22()) << "C.x22()";
EXPECT_FLOAT_EQ(0.1080020759711545,C.x23()) << "C.x23()";
EXPECT_FLOAT_EQ(0.8147725263605445,C.x24()) << "C.x24()";
EXPECT_FLOAT_EQ(0.9048931279343728,C.x25()) << "C.x25()";
EXPECT_FLOAT_EQ(1.2476465544083184,C.x26()) << "C.x26()";
EXPECT_FLOAT_EQ(0.1619267043337781,C.x31()) << "C.x31()";
EXPECT_FLOAT_EQ(0.8255468602509465,C.x32()) << "C.x32()";
EXPECT_FLOAT_EQ(0.4823784238849611,C.x33()) << "C.x33()";
EXPECT_FLOAT_EQ(0.6837503075397613,C.x34()) << "C.x34()";
EXPECT_FLOAT_EQ(0.0784973317433504,C.x35()) << "C.x35()";
EXPECT_FLOAT_EQ(0.8368479998334433,C.x36()) << "C.x36()";
EXPECT_FLOAT_EQ(0.0112200396694362,C.x41()) << "C.x41()";
EXPECT_FLOAT_EQ(0.8194354458300377,C.x42()) << "C.x42()";
EXPECT_FLOAT_EQ(1.1074040005476036,C.x43()) << "C.x43()";
EXPECT_FLOAT_EQ(0.6118023983888154,C.x44()) << "C.x44()";
EXPECT_FLOAT_EQ(0.4369542629777867,C.x45()) << "C.x45()";
EXPECT_FLOAT_EQ(0.6474343145633832,C.x46()) << "C.x46()";
EXPECT_FLOAT_EQ(0.0836906759361557,C.x51()) << "C.x51()";
EXPECT_FLOAT_EQ(0.9338502039452401,C.x52()) << "C.x52()";
EXPECT_FLOAT_EQ(0.9911298229891556,C.x53()) << "C.x53()";
EXPECT_FLOAT_EQ(1.6059479559586896,C.x54()) << "C.x54()";
EXPECT_FLOAT_EQ(1.9166663623233735,C.x55()) << "C.x55()";
EXPECT_FLOAT_EQ(0.8109702524757447,C.x56()) << "C.x56()";
EXPECT_FLOAT_EQ(0.0501618784358511,C.x61()) << "C.x61()";
EXPECT_FLOAT_EQ(0.9139519661627958,C.x62()) << "C.x62()";
EXPECT_FLOAT_EQ(0.4597365381087316,C.x63()) << "C.x63()";
EXPECT_FLOAT_EQ(1.0569116390136390,C.x64()) << "C.x64()";
EXPECT_FLOAT_EQ(0.6655431451182421,C.x65()) << "C.x65()";
EXPECT_FLOAT_EQ(0.9678972164817718,C.x66()) << "C.x66()";
}
TEST(mandel_tensors,Construct4thOrderCfromstaticmatrixxform){
TestData td;
const p3a::mandel6x6<Y> C(td.Cstatic);
EXPECT_FLOAT_EQ(0.4335153608215544,C.x11()) << "C.x11()";
EXPECT_FLOAT_EQ(0.0856007508096491,C.x12()) << "C.x12()";
EXPECT_FLOAT_EQ(0.6181864586228960,C.x13()) << "C.x13()";
EXPECT_FLOAT_EQ(1.0180326366236518,C.x14()) << "C.x14()";
EXPECT_FLOAT_EQ(0.9998149495390550,C.x15()) << "C.x15()";
EXPECT_FLOAT_EQ(1.3248978263217353,C.x16()) << "C.x16()";
EXPECT_FLOAT_EQ(0.4327952022077987,C.x21()) << "C.x21()";
EXPECT_FLOAT_EQ(0.3742135173559312,C.x22()) << "C.x22()";
EXPECT_FLOAT_EQ(0.1080020759711545,C.x23()) << "C.x23()";
EXPECT_FLOAT_EQ(0.8147725263605445,C.x24()) << "C.x24()";
EXPECT_FLOAT_EQ(0.9048931279343728,C.x25()) << "C.x25()";
EXPECT_FLOAT_EQ(1.2476465544083184,C.x26()) << "C.x26()";
EXPECT_FLOAT_EQ(0.1619267043337781,C.x31()) << "C.x31()";
EXPECT_FLOAT_EQ(0.8255468602509465,C.x32()) << "C.x32()";
EXPECT_FLOAT_EQ(0.4823784238849611,C.x33()) << "C.x33()";
EXPECT_FLOAT_EQ(0.6837503075397613,C.x34()) << "C.x34()";
EXPECT_FLOAT_EQ(0.0784973317433504,C.x35()) << "C.x35()";
EXPECT_FLOAT_EQ(0.8368479998334433,C.x36()) << "C.x36()";
EXPECT_FLOAT_EQ(0.0112200396694362,C.x41()) << "C.x41()";
EXPECT_FLOAT_EQ(0.8194354458300377,C.x42()) << "C.x42()";
EXPECT_FLOAT_EQ(1.1074040005476036,C.x43()) << "C.x43()";
EXPECT_FLOAT_EQ(0.6118023983888154,C.x44()) << "C.x44()";
EXPECT_FLOAT_EQ(0.4369542629777867,C.x45()) << "C.x45()";
EXPECT_FLOAT_EQ(0.6474343145633832,C.x46()) << "C.x46()";
EXPECT_FLOAT_EQ(0.0836906759361557,C.x51()) << "C.x51()";
EXPECT_FLOAT_EQ(0.9338502039452401,C.x52()) << "C.x52()";
EXPECT_FLOAT_EQ(0.9911298229891556,C.x53()) << "C.x53()";
EXPECT_FLOAT_EQ(1.6059479559586896,C.x54()) << "C.x54()";
EXPECT_FLOAT_EQ(1.9166663623233735,C.x55()) << "C.x55()";
EXPECT_FLOAT_EQ(0.8109702524757447,C.x56()) << "C.x56()";
EXPECT_FLOAT_EQ(0.0501618784358511,C.x61()) << "C.x61()";
EXPECT_FLOAT_EQ(0.9139519661627958,C.x62()) << "C.x62()";
EXPECT_FLOAT_EQ(0.4597365381087316,C.x63()) << "C.x63()";
EXPECT_FLOAT_EQ(1.0569116390136390,C.x64()) << "C.x64()";
EXPECT_FLOAT_EQ(0.6655431451182421,C.x65()) << "C.x65()";
EXPECT_FLOAT_EQ(0.9678972164817718,C.x66()) << "C.x66()";
}
/**************************************************************************
* Basic Operations 4th-order MandelTensors
*************************************************************************/
TEST(mandel_tensors,Basics4thOrderCpluseqCp){
TestData td;
const auto & C = td.C;
const auto & Cp = td.Cp;
p3a::mandel6x6 W = C;
W += Cp;
EXPECT_FLOAT_EQ(C.x11()+Cp.x11(),W.x11()) << "T.x11()";
EXPECT_FLOAT_EQ(C.x12()+Cp.x12(),W.x12()) << "T.x12()";
EXPECT_FLOAT_EQ(C.x13()+Cp.x13(),W.x13()) << "T.x13()";
EXPECT_FLOAT_EQ(C.x14()+Cp.x14(),W.x14()) << "T.x14()";
EXPECT_FLOAT_EQ(C.x15()+Cp.x15(),W.x15()) << "T.x15()";
EXPECT_FLOAT_EQ(C.x16()+Cp.x16(),W.x16()) << "T.x16()";
EXPECT_FLOAT_EQ(C.x21()+Cp.x21(),W.x21()) << "T.x21()";
EXPECT_FLOAT_EQ(C.x22()+Cp.x22(),W.x22()) << "T.x22()";
EXPECT_FLOAT_EQ(C.x23()+Cp.x23(),W.x23()) << "T.x23()";
EXPECT_FLOAT_EQ(C.x24()+Cp.x24(),W.x24()) << "T.x24()";
EXPECT_FLOAT_EQ(C.x25()+Cp.x25(),W.x25()) << "T.x25()";
EXPECT_FLOAT_EQ(C.x26()+Cp.x26(),W.x26()) << "T.x26()";
EXPECT_FLOAT_EQ(C.x31()+Cp.x31(),W.x31()) << "T.x31()";
EXPECT_FLOAT_EQ(C.x32()+Cp.x32(),W.x32()) << "T.x32()";
EXPECT_FLOAT_EQ(C.x33()+Cp.x33(),W.x33()) << "T.x33()";
EXPECT_FLOAT_EQ(C.x34()+Cp.x34(),W.x34()) << "T.x34()";
EXPECT_FLOAT_EQ(C.x35()+Cp.x35(),W.x35()) << "T.x35()";
EXPECT_FLOAT_EQ(C.x36()+Cp.x36(),W.x36()) << "T.x36()";
EXPECT_FLOAT_EQ(C.x41()+Cp.x41(),W.x41()) << "T.x41()";
EXPECT_FLOAT_EQ(C.x42()+Cp.x42(),W.x42()) << "T.x42()";
EXPECT_FLOAT_EQ(C.x43()+Cp.x43(),W.x43()) << "T.x43()";
EXPECT_FLOAT_EQ(C.x44()+Cp.x44(),W.x44()) << "T.x44()";
EXPECT_FLOAT_EQ(C.x45()+Cp.x45(),W.x45()) << "T.x45()";
EXPECT_FLOAT_EQ(C.x46()+Cp.x46(),W.x46()) << "T.x46()";
EXPECT_FLOAT_EQ(C.x51()+Cp.x51(),W.x51()) << "T.x51()";
EXPECT_FLOAT_EQ(C.x52()+Cp.x52(),W.x52()) << "T.x52()";
EXPECT_FLOAT_EQ(C.x53()+Cp.x53(),W.x53()) << "T.x53()";
EXPECT_FLOAT_EQ(C.x54()+Cp.x54(),W.x54()) << "T.x54()";
EXPECT_FLOAT_EQ(C.x55()+Cp.x55(),W.x55()) << "T.x55()";
EXPECT_FLOAT_EQ(C.x56()+Cp.x56(),W.x56()) << "T.x56()";
EXPECT_FLOAT_EQ(C.x61()+Cp.x61(),W.x61()) << "T.x61()";
EXPECT_FLOAT_EQ(C.x62()+Cp.x62(),W.x62()) << "T.x62()";
EXPECT_FLOAT_EQ(C.x63()+Cp.x63(),W.x63()) << "T.x63()";
EXPECT_FLOAT_EQ(C.x64()+Cp.x64(),W.x64()) << "T.x64()";
EXPECT_FLOAT_EQ(C.x65()+Cp.x65(),W.x65()) << "T.x65()";
EXPECT_FLOAT_EQ(C.x66()+Cp.x66(),W.x66()) << "T.x66()";
}
TEST(mandel_tensors,Basics4thOrderCminuseqCp){
TestData td;
const auto & C = td.C;
const auto & Cp = td.Cp;
p3a::mandel6x6 W = C;
W -= Cp;
EXPECT_FLOAT_EQ(C.x11()-Cp.x11(),W.x11()) << "T.x11()";
EXPECT_FLOAT_EQ(C.x12()-Cp.x12(),W.x12()) << "T.x12()";
EXPECT_FLOAT_EQ(C.x13()-Cp.x13(),W.x13()) << "T.x13()";
EXPECT_FLOAT_EQ(C.x14()-Cp.x14(),W.x14()) << "T.x14()";
EXPECT_FLOAT_EQ(C.x15()-Cp.x15(),W.x15()) << "T.x15()";
EXPECT_FLOAT_EQ(C.x16()-Cp.x16(),W.x16()) << "T.x16()";
EXPECT_FLOAT_EQ(C.x21()-Cp.x21(),W.x21()) << "T.x21()";
EXPECT_FLOAT_EQ(C.x22()-Cp.x22(),W.x22()) << "T.x22()";
EXPECT_FLOAT_EQ(C.x23()-Cp.x23(),W.x23()) << "T.x23()";
EXPECT_FLOAT_EQ(C.x24()-Cp.x24(),W.x24()) << "T.x24()";
EXPECT_FLOAT_EQ(C.x25()-Cp.x25(),W.x25()) << "T.x25()";
EXPECT_FLOAT_EQ(C.x26()-Cp.x26(),W.x26()) << "T.x26()";
EXPECT_FLOAT_EQ(C.x31()-Cp.x31(),W.x31()) << "T.x31()";
EXPECT_FLOAT_EQ(C.x32()-Cp.x32(),W.x32()) << "T.x32()";
EXPECT_FLOAT_EQ(C.x33()-Cp.x33(),W.x33()) << "T.x33()";
EXPECT_FLOAT_EQ(C.x34()-Cp.x34(),W.x34()) << "T.x34()";
EXPECT_FLOAT_EQ(C.x35()-Cp.x35(),W.x35()) << "T.x35()";
EXPECT_FLOAT_EQ(C.x36()-Cp.x36(),W.x36()) << "T.x36()";
EXPECT_FLOAT_EQ(C.x41()-Cp.x41(),W.x41()) << "T.x41()";
EXPECT_FLOAT_EQ(C.x42()-Cp.x42(),W.x42()) << "T.x42()";
EXPECT_FLOAT_EQ(C.x43()-Cp.x43(),W.x43()) << "T.x43()";
EXPECT_FLOAT_EQ(C.x44()-Cp.x44(),W.x44()) << "T.x44()";
EXPECT_FLOAT_EQ(C.x45()-Cp.x45(),W.x45()) << "T.x45()";
EXPECT_FLOAT_EQ(C.x46()-Cp.x46(),W.x46()) << "T.x46()";
EXPECT_FLOAT_EQ(C.x51()-Cp.x51(),W.x51()) << "T.x51()";
EXPECT_FLOAT_EQ(C.x52()-Cp.x52(),W.x52()) << "T.x52()";
EXPECT_FLOAT_EQ(C.x53()-Cp.x53(),W.x53()) << "T.x53()";
EXPECT_FLOAT_EQ(C.x54()-Cp.x54(),W.x54()) << "T.x54()";
EXPECT_FLOAT_EQ(C.x55()-Cp.x55(),W.x55()) << "T.x55()";
EXPECT_FLOAT_EQ(C.x56()-Cp.x56(),W.x56()) << "T.x56()";
EXPECT_FLOAT_EQ(C.x61()-Cp.x61(),W.x61()) << "T.x61()";
EXPECT_FLOAT_EQ(C.x62()-Cp.x62(),W.x62()) << "T.x62()";
EXPECT_FLOAT_EQ(C.x63()-Cp.x63(),W.x63()) << "T.x63()";
EXPECT_FLOAT_EQ(C.x64()-Cp.x64(),W.x64()) << "T.x64()";
EXPECT_FLOAT_EQ(C.x65()-Cp.x65(),W.x65()) << "T.x65()";
EXPECT_FLOAT_EQ(C.x66()-Cp.x66(),W.x66()) << "T.x66()";
}
TEST(mandel_tensors,Basics4thOrderCaddCp){
TestData td;
const auto & C = td.C;
const auto & Cp = td.Cp;
p3a::mandel6x6 W = Cp + C;
EXPECT_FLOAT_EQ(C.x11()+Cp.x11(),W.x11()) << "T.x11()";
EXPECT_FLOAT_EQ(C.x12()+Cp.x12(),W.x12()) << "T.x12()";
EXPECT_FLOAT_EQ(C.x13()+Cp.x13(),W.x13()) << "T.x13()";
EXPECT_FLOAT_EQ(C.x14()+Cp.x14(),W.x14()) << "T.x14()";
EXPECT_FLOAT_EQ(C.x15()+Cp.x15(),W.x15()) << "T.x15()";
EXPECT_FLOAT_EQ(C.x16()+Cp.x16(),W.x16()) << "T.x16()";
EXPECT_FLOAT_EQ(C.x21()+Cp.x21(),W.x21()) << "T.x21()";
EXPECT_FLOAT_EQ(C.x22()+Cp.x22(),W.x22()) << "T.x22()";
EXPECT_FLOAT_EQ(C.x23()+Cp.x23(),W.x23()) << "T.x23()";
EXPECT_FLOAT_EQ(C.x24()+Cp.x24(),W.x24()) << "T.x24()";
EXPECT_FLOAT_EQ(C.x25()+Cp.x25(),W.x25()) << "T.x25()";
EXPECT_FLOAT_EQ(C.x26()+Cp.x26(),W.x26()) << "T.x26()";
EXPECT_FLOAT_EQ(C.x31()+Cp.x31(),W.x31()) << "T.x31()";
EXPECT_FLOAT_EQ(C.x32()+Cp.x32(),W.x32()) << "T.x32()";
EXPECT_FLOAT_EQ(C.x33()+Cp.x33(),W.x33()) << "T.x33()";
EXPECT_FLOAT_EQ(C.x34()+Cp.x34(),W.x34()) << "T.x34()";
EXPECT_FLOAT_EQ(C.x35()+Cp.x35(),W.x35()) << "T.x35()";
EXPECT_FLOAT_EQ(C.x36()+Cp.x36(),W.x36()) << "T.x36()";
EXPECT_FLOAT_EQ(C.x41()+Cp.x41(),W.x41()) << "T.x41()";
EXPECT_FLOAT_EQ(C.x42()+Cp.x42(),W.x42()) << "T.x42()";
EXPECT_FLOAT_EQ(C.x43()+Cp.x43(),W.x43()) << "T.x43()";
EXPECT_FLOAT_EQ(C.x44()+Cp.x44(),W.x44()) << "T.x44()";
EXPECT_FLOAT_EQ(C.x45()+Cp.x45(),W.x45()) << "T.x45()";
EXPECT_FLOAT_EQ(C.x46()+Cp.x46(),W.x46()) << "T.x46()";
EXPECT_FLOAT_EQ(C.x51()+Cp.x51(),W.x51()) << "T.x51()";
EXPECT_FLOAT_EQ(C.x52()+Cp.x52(),W.x52()) << "T.x52()";
EXPECT_FLOAT_EQ(C.x53()+Cp.x53(),W.x53()) << "T.x53()";
EXPECT_FLOAT_EQ(C.x54()+Cp.x54(),W.x54()) << "T.x54()";
EXPECT_FLOAT_EQ(C.x55()+Cp.x55(),W.x55()) << "T.x55()";
EXPECT_FLOAT_EQ(C.x56()+Cp.x56(),W.x56()) << "T.x56()";
EXPECT_FLOAT_EQ(C.x61()+Cp.x61(),W.x61()) << "T.x61()";
EXPECT_FLOAT_EQ(C.x62()+Cp.x62(),W.x62()) << "T.x62()";
EXPECT_FLOAT_EQ(C.x63()+Cp.x63(),W.x63()) << "T.x63()";
EXPECT_FLOAT_EQ(C.x64()+Cp.x64(),W.x64()) << "T.x64()";
EXPECT_FLOAT_EQ(C.x65()+Cp.x65(),W.x65()) << "T.x65()";
EXPECT_FLOAT_EQ(C.x66()+Cp.x66(),W.x66()) << "T.x66()";
}
TEST(mandel_tensors,Basics4thOrderCminusCp){
TestData td;
const auto & C = td.C;
const auto & Cp = td.Cp;
p3a::mandel6x6 W = C - Cp;
EXPECT_FLOAT_EQ(C.x11()-Cp.x11(),W.x11()) << "T.x11()";
EXPECT_FLOAT_EQ(C.x12()-Cp.x12(),W.x12()) << "T.x12()";
EXPECT_FLOAT_EQ(C.x13()-Cp.x13(),W.x13()) << "T.x13()";
EXPECT_FLOAT_EQ(C.x14()-Cp.x14(),W.x14()) << "T.x14()";
EXPECT_FLOAT_EQ(C.x15()-Cp.x15(),W.x15()) << "T.x15()";
EXPECT_FLOAT_EQ(C.x16()-Cp.x16(),W.x16()) << "T.x16()";
EXPECT_FLOAT_EQ(C.x21()-Cp.x21(),W.x21()) << "T.x21()";
EXPECT_FLOAT_EQ(C.x22()-Cp.x22(),W.x22()) << "T.x22()";
EXPECT_FLOAT_EQ(C.x23()-Cp.x23(),W.x23()) << "T.x23()";
EXPECT_FLOAT_EQ(C.x24()-Cp.x24(),W.x24()) << "T.x24()";
EXPECT_FLOAT_EQ(C.x25()-Cp.x25(),W.x25()) << "T.x25()";
EXPECT_FLOAT_EQ(C.x26()-Cp.x26(),W.x26()) << "T.x26()";
EXPECT_FLOAT_EQ(C.x31()-Cp.x31(),W.x31()) << "T.x31()";
EXPECT_FLOAT_EQ(C.x32()-Cp.x32(),W.x32()) << "T.x32()";
EXPECT_FLOAT_EQ(C.x33()-Cp.x33(),W.x33()) << "T.x33()";
EXPECT_FLOAT_EQ(C.x34()-Cp.x34(),W.x34()) << "T.x34()";
EXPECT_FLOAT_EQ(C.x35()-Cp.x35(),W.x35()) << "T.x35()";
EXPECT_FLOAT_EQ(C.x36()-Cp.x36(),W.x36()) << "T.x36()";
EXPECT_FLOAT_EQ(C.x41()-Cp.x41(),W.x41()) << "T.x41()";
EXPECT_FLOAT_EQ(C.x42()-Cp.x42(),W.x42()) << "T.x42()";
EXPECT_FLOAT_EQ(C.x43()-Cp.x43(),W.x43()) << "T.x43()";
EXPECT_FLOAT_EQ(C.x44()-Cp.x44(),W.x44()) << "T.x44()";
EXPECT_FLOAT_EQ(C.x45()-Cp.x45(),W.x45()) << "T.x45()";
EXPECT_FLOAT_EQ(C.x46()-Cp.x46(),W.x46()) << "T.x46()";
EXPECT_FLOAT_EQ(C.x51()-Cp.x51(),W.x51()) << "T.x51()";
EXPECT_FLOAT_EQ(C.x52()-Cp.x52(),W.x52()) << "T.x52()";
EXPECT_FLOAT_EQ(C.x53()-Cp.x53(),W.x53()) << "T.x53()";
EXPECT_FLOAT_EQ(C.x54()-Cp.x54(),W.x54()) << "T.x54()";
EXPECT_FLOAT_EQ(C.x55()-Cp.x55(),W.x55()) << "T.x55()";
EXPECT_FLOAT_EQ(C.x56()-Cp.x56(),W.x56()) << "T.x56()";
EXPECT_FLOAT_EQ(C.x61()-Cp.x61(),W.x61()) << "T.x61()";
EXPECT_FLOAT_EQ(C.x62()-Cp.x62(),W.x62()) << "T.x62()";
EXPECT_FLOAT_EQ(C.x63()-Cp.x63(),W.x63()) << "T.x63()";
EXPECT_FLOAT_EQ(C.x64()-Cp.x64(),W.x64()) << "T.x64()";
EXPECT_FLOAT_EQ(C.x65()-Cp.x65(),W.x65()) << "T.x65()";
EXPECT_FLOAT_EQ(C.x66()-Cp.x66(),W.x66()) << "T.x66()";
}
TEST(mandel_tensors,Basics4thOrderCxReal){
TestData td;
const auto & C = td.C;
const auto & r1 = td.r1;
p3a::mandel6x6 W = C;
W*=r1;
EXPECT_FLOAT_EQ(C.x11()*r1,W.x11()) << "T.x11()";
EXPECT_FLOAT_EQ(C.x12()*r1,W.x12()) << "T.x12()";
EXPECT_FLOAT_EQ(C.x13()*r1,W.x13()) << "T.x13()";
EXPECT_FLOAT_EQ(C.x14()*r1,W.x14()) << "T.x14()";
EXPECT_FLOAT_EQ(C.x15()*r1,W.x15()) << "T.x15()";
EXPECT_FLOAT_EQ(C.x16()*r1,W.x16()) << "T.x16()";
EXPECT_FLOAT_EQ(C.x21()*r1,W.x21()) << "T.x21()";
EXPECT_FLOAT_EQ(C.x22()*r1,W.x22()) << "T.x22()";
EXPECT_FLOAT_EQ(C.x23()*r1,W.x23()) << "T.x23()";
EXPECT_FLOAT_EQ(C.x24()*r1,W.x24()) << "T.x24()";
EXPECT_FLOAT_EQ(C.x25()*r1,W.x25()) << "T.x25()";
EXPECT_FLOAT_EQ(C.x26()*r1,W.x26()) << "T.x26()";
EXPECT_FLOAT_EQ(C.x31()*r1,W.x31()) << "T.x31()";
EXPECT_FLOAT_EQ(C.x32()*r1,W.x32()) << "T.x32()";