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| 1 | +#include "gtest/gtest.h" |
| 2 | +#include <vector> |
| 3 | +#include <cmath> |
| 4 | + |
| 5 | +/************************************************ |
| 6 | + * unit test of write_elf logic |
| 7 | + ***********************************************/ |
| 8 | + |
| 9 | +/** |
| 10 | + * This test verifies the ELF calculation logic for nspin=4 |
| 11 | + * by testing the key formulas directly without file I/O. |
| 12 | + */ |
| 13 | + |
| 14 | +class ElfLogicTest : public ::testing::Test |
| 15 | +{ |
| 16 | +protected: |
| 17 | + // Test the Thomas-Fermi kinetic energy density calculation |
| 18 | + double calculate_tau_TF(double rho) { |
| 19 | + const double c_tf = 3.0 / 10.0 * std::pow(3 * std::pow(M_PI, 2.0), 2.0 / 3.0) * 2.0; |
| 20 | + if (rho > 0.0) { |
| 21 | + return c_tf * std::pow(rho, 5.0 / 3.0); |
| 22 | + } else { |
| 23 | + return 0.0; |
| 24 | + } |
| 25 | + } |
| 26 | + |
| 27 | + // Test the ELF calculation |
| 28 | + double calculate_elf(double tau, double tau_vw, double tau_TF) { |
| 29 | + const double eps = 1.0e-5; |
| 30 | + if (tau_TF > 1.0e-12) { |
| 31 | + double chi = (tau - tau_vw + eps) / tau_TF; |
| 32 | + return 1.0 / (1.0 + chi * chi); |
| 33 | + } else { |
| 34 | + return 0.0; |
| 35 | + } |
| 36 | + } |
| 37 | +}; |
| 38 | + |
| 39 | +TEST_F(ElfLogicTest, ThomasFermiPositiveDensity) |
| 40 | +{ |
| 41 | + // Test with positive density |
| 42 | + double rho = 0.1; |
| 43 | + double tau_TF = calculate_tau_TF(rho); |
| 44 | + |
| 45 | + EXPECT_GT(tau_TF, 0.0); |
| 46 | + EXPECT_LT(tau_TF, 1.0); // Should be reasonable value |
| 47 | +} |
| 48 | + |
| 49 | +TEST_F(ElfLogicTest, ThomasFermiNegativeDensity) |
| 50 | +{ |
| 51 | + // Test with negative density (for magnetization components) |
| 52 | + double rho = -0.02; |
| 53 | + double tau_TF = calculate_tau_TF(rho); |
| 54 | + |
| 55 | + EXPECT_EQ(tau_TF, 0.0); // Should return 0 for negative density |
| 56 | +} |
| 57 | + |
| 58 | +TEST_F(ElfLogicTest, ThomasFermiZeroDensity) |
| 59 | +{ |
| 60 | + // Test with zero density |
| 61 | + double rho = 0.0; |
| 62 | + double tau_TF = calculate_tau_TF(rho); |
| 63 | + |
| 64 | + EXPECT_EQ(tau_TF, 0.0); |
| 65 | +} |
| 66 | + |
| 67 | +TEST_F(ElfLogicTest, ElfCalculationNormal) |
| 68 | +{ |
| 69 | + // Test ELF calculation with normal values |
| 70 | + double tau = 0.05; |
| 71 | + double tau_vw = 0.02; |
| 72 | + double tau_TF = 0.03; |
| 73 | + |
| 74 | + double elf = calculate_elf(tau, tau_vw, tau_TF); |
| 75 | + |
| 76 | + EXPECT_GE(elf, 0.0); |
| 77 | + EXPECT_LE(elf, 1.0); |
| 78 | +} |
| 79 | + |
| 80 | +TEST_F(ElfLogicTest, ElfCalculationSmallTauTF) |
| 81 | +{ |
| 82 | + // Test ELF calculation with very small tau_TF |
| 83 | + double tau = 0.05; |
| 84 | + double tau_vw = 0.02; |
| 85 | + double tau_TF = 1.0e-15; // Very small |
| 86 | + |
| 87 | + double elf = calculate_elf(tau, tau_vw, tau_TF); |
| 88 | + |
| 89 | + EXPECT_EQ(elf, 0.0); // Should return 0 for very small tau_TF |
| 90 | +} |
| 91 | + |
| 92 | +TEST_F(ElfLogicTest, ElfCalculationZeroTauTF) |
| 93 | +{ |
| 94 | + // Test ELF calculation with zero tau_TF |
| 95 | + double tau = 0.05; |
| 96 | + double tau_vw = 0.02; |
| 97 | + double tau_TF = 0.0; |
| 98 | + |
| 99 | + double elf = calculate_elf(tau, tau_vw, tau_TF); |
| 100 | + |
| 101 | + EXPECT_EQ(elf, 0.0); // Should return 0 for zero tau_TF |
| 102 | +} |
| 103 | + |
| 104 | +TEST_F(ElfLogicTest, ElfValueRange) |
| 105 | +{ |
| 106 | + // Test that ELF is always in [0, 1] for various inputs |
| 107 | + std::vector<double> tau_values = {0.01, 0.05, 0.1, 0.5, 1.0}; |
| 108 | + std::vector<double> tau_vw_values = {0.005, 0.02, 0.05, 0.2, 0.5}; |
| 109 | + std::vector<double> tau_TF_values = {0.01, 0.03, 0.08, 0.3, 0.8}; |
| 110 | + |
| 111 | + for (double tau : tau_values) { |
| 112 | + for (double tau_vw : tau_vw_values) { |
| 113 | + for (double tau_TF : tau_TF_values) { |
| 114 | + double elf = calculate_elf(tau, tau_vw, tau_TF); |
| 115 | + EXPECT_GE(elf, 0.0) << "ELF should be >= 0"; |
| 116 | + EXPECT_LE(elf, 1.0) << "ELF should be <= 1"; |
| 117 | + } |
| 118 | + } |
| 119 | + } |
| 120 | +} |
| 121 | + |
| 122 | +TEST_F(ElfLogicTest, Nspin4ComponentHandling) |
| 123 | +{ |
| 124 | + // Test that we can handle 4 components independently |
| 125 | + int nspin = 4; |
| 126 | + std::vector<double> rho(nspin); |
| 127 | + std::vector<double> tau_TF(nspin); |
| 128 | + |
| 129 | + // Component 0: total charge (positive) |
| 130 | + rho[0] = 0.1; |
| 131 | + tau_TF[0] = calculate_tau_TF(rho[0]); |
| 132 | + EXPECT_GT(tau_TF[0], 0.0); |
| 133 | + |
| 134 | + // Components 1-3: magnetization (can be negative) |
| 135 | + for (int i = 1; i < nspin; ++i) { |
| 136 | + rho[i] = -0.01 * i; // Negative |
| 137 | + tau_TF[i] = calculate_tau_TF(rho[i]); |
| 138 | + EXPECT_EQ(tau_TF[i], 0.0); // Should be 0 for negative density |
| 139 | + } |
| 140 | +} |
| 141 | + |
| 142 | +TEST_F(ElfLogicTest, Nspin4AllPositive) |
| 143 | +{ |
| 144 | + // Test with all positive densities |
| 145 | + int nspin = 4; |
| 146 | + std::vector<double> rho(nspin); |
| 147 | + std::vector<double> tau_TF(nspin); |
| 148 | + |
| 149 | + for (int i = 0; i < nspin; ++i) { |
| 150 | + rho[i] = 0.05 + 0.01 * i; |
| 151 | + tau_TF[i] = calculate_tau_TF(rho[i]); |
| 152 | + EXPECT_GT(tau_TF[i], 0.0); |
| 153 | + } |
| 154 | +} |
| 155 | + |
| 156 | +TEST_F(ElfLogicTest, Nspin4MixedSigns) |
| 157 | +{ |
| 158 | + // Test with mixed positive and negative densities |
| 159 | + int nspin = 4; |
| 160 | + std::vector<double> rho = {0.1, -0.02, 0.03, -0.01}; |
| 161 | + std::vector<double> tau_TF(nspin); |
| 162 | + |
| 163 | + for (int i = 0; i < nspin; ++i) { |
| 164 | + tau_TF[i] = calculate_tau_TF(rho[i]); |
| 165 | + if (rho[i] > 0.0) { |
| 166 | + EXPECT_GT(tau_TF[i], 0.0); |
| 167 | + } else { |
| 168 | + EXPECT_EQ(tau_TF[i], 0.0); |
| 169 | + } |
| 170 | + } |
| 171 | +} |
| 172 | + |
| 173 | +int main(int argc, char** argv) |
| 174 | +{ |
| 175 | + testing::InitGoogleTest(&argc, argv); |
| 176 | + return RUN_ALL_TESTS(); |
| 177 | +} |
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