diff --git a/TODO.txt b/TODO.txt new file mode 100644 index 0000000..c0633fa --- /dev/null +++ b/TODO.txt @@ -0,0 +1,15 @@ + +//~ TODO +//- +/** + * + [-] Use arena for matrices instead of malloc maybe + [-] Factor l-dependent matrix + [-] Print eigenfunctions for plotting + [-] Solve for more shells + [-] Make some good orbital/atom abstraction + [-] Then try to make hartree fock work maybe. + [-] Need to make a Complex double (Z64) version if I want to go relativistic + [-] Smarter way to multiply bsplines and do gauss integration? + * + */ diff --git a/notebook/hf_again.ipynb b/notebook/hf_again.ipynb index 8db0b31..1a98da0 100644 --- a/notebook/hf_again.ipynb +++ b/notebook/hf_again.ipynb @@ -2,13 +2,23 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, + "execution_count": 1, "id": "6c2814c6-dcc2-4dc3-9932-e124f14aa23d", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -18,7 +28,7 @@ } ], "source": [ - "%autoreload 2\n", + "\n", " \n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", @@ -68,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 2, "id": "4aa0cdce-d9d0-41ff-99a6-fdbb485c40db", "metadata": {}, "outputs": [ @@ -76,13 +86,35 @@ "name": "stdout", "output_type": "stream", "text": [ - "(100, 20)\n", - "(24, 20)\n" + "(100, 36)\n", + "(40, 36)\n" ] }, { "data": { - "image/png": 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+ "text/plain": [ + "array([[1.000000e+00, 0.000000e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " [1.000000e+00, 0.000000e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " [1.000000e+00, 0.000000e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " ...,\n", + " [0.000000e+00, 0.000000e+00, 0.000000e+00, ..., 4.066601e-29,\n", + " 9.018427e-15, 1.000000e+00],\n", + " [0.000000e+00, 0.000000e+00, 0.000000e+00, ..., 4.066601e-29,\n", + " 9.018427e-15, 1.000000e+00],\n", + " [0.000000e+00, 0.000000e+00, 0.000000e+00, ..., 4.066601e-29,\n", + " 9.018427e-15, 1.000000e+00]])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -102,13 +134,15 @@ " bspl = bsplines[:, i]\n", " plt.plot(x_axis, bspl, marker=mark, linewidth=linewidth)\n", "\n", + " return bsplines\n", + "\n", "plot_bsplines(grid, \"../out/bsplines_grid.dat\")\n", "plot_bsplines(knots, \"../out/bsplines_knots.dat\", 'o', 0)" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 3, "id": "d60d63ef-59f4-41b4-bbcc-a437185b77a2", "metadata": {}, "outputs": [ @@ -116,13 +150,35 @@ "name": "stdout", "output_type": "stream", "text": [ - "(100, 20)\n", - "(24, 20)\n" + "(100, 36)\n", + "(40, 36)\n" ] }, { "data": { - "image/png": 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", + "text/plain": [ + "array([[-7.615385e+00, 7.615385e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " [-7.615385e+00, 7.615385e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " [-7.615385e+00, 7.615385e+00, 0.000000e+00, ..., 0.000000e+00,\n", + " 0.000000e+00, 0.000000e+00],\n", + " ...,\n", + " [ 0.000000e+00, 0.000000e+00, 0.000000e+00, ..., -3.433940e-14,\n", + " -7.615385e+00, 7.615385e+00],\n", + " [ 0.000000e+00, 0.000000e+00, 0.000000e+00, ..., -3.433940e-14,\n", + " -7.615385e+00, 7.615385e+00],\n", + " [ 0.000000e+00, 0.000000e+00, 0.000000e+00, ..., -3.433940e-14,\n", + " -7.615385e+00, 7.615385e+00]])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -142,15 +198,51 @@ " bspl = bsplines[:, i]\n", " plt.plot(x_axis, bspl, marker=mark, linewidth=linewidth)\n", "\n", + " return bsplines;\n", + "\n", "plot_bsplines(grid, \"../out/dBsplines_grid.dat\")\n", "plot_bsplines(knots, \"../out/dBsplines_knots.dat\", 'o', 0)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "1b259290-0cde-4671-b4e0-122dcda63ad9", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.7295584424494733\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bsplines = np.loadtxt(\"../out/bsplines_grid.dat\", skiprows=1)\n", + "coeffs = np.loadtxt(\"../out/ground_state_coeffs.dat\")\n", + "\n", + "radialwf = np.sum(coeffs*bsplines[:,1:-1], axis=1)\n", + "\n", + "plt.plot(grid, radialwf)\n", + "print(np.sum(radialwf)/(grid[len(grid)-1]-grid[0]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "87a94536-f5bb-4075-9fd9-115281ba3a19", + "metadata": {}, "outputs": [], "source": [] } diff --git a/out/bspline1.dat b/out/bspline1.dat index 318e80c..0e0a5f6 100644 --- a/out/bspline1.dat +++ b/out/bspline1.dat @@ -1,7 +1,7 @@ 0.000000e+00 - 5.628398e-01 + 5.628397e-01 5.229180e-01 - 2.575732e-01 + 2.575733e-01 7.860800e-02 1.071875e-02 2.000000e-06 diff --git a/out/bspline2.dat b/out/bspline2.dat index 515563c..d3b50bc 100644 --- a/out/bspline2.dat +++ b/out/bspline2.dat @@ -1,9 +1,9 @@ 0.000000e+00 1.304078e-01 3.898620e-01 - 5.807092e-01 + 5.807093e-01 5.544480e-01 - 3.779063e-01 + 3.779062e-01 1.768620e-01 5.475150e-02 7.776000e-03 diff --git a/out/bsplines_grid.dat b/out/bsplines_grid.dat index 347b3ab..5c6076f 100644 --- a/out/bsplines_grid.dat +++ b/out/bsplines_grid.dat @@ -1,10 +1,10 @@ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 - 3.007630e-01 5.628398e-01 1.304078e-01 5.989500e-03 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 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100644 --- a/out/dBspline0.dat +++ b/out/dBspline0.dat @@ -1,7 +1,7 @@ --9.900000e+00 --4.444110e+00 --1.144440e+00 --9.900000e-04 +-7.615385e+00 +-3.418546e+00 +-8.803385e-01 +-7.615385e-04 0.000000e+00 0.000000e+00 0.000000e+00 diff --git a/out/dBspline1.dat b/out/dBspline1.dat index 33f7b47..99f5df1 100644 --- a/out/dBspline1.dat +++ b/out/dBspline1.dat @@ -1,10 +1,10 @@ - 9.900000e+00 - 1.985693e+00 --2.155230e+00 --2.522767e+00 --1.144440e+00 --3.031875e-01 --9.900000e-04 + 7.615385e+00 + 1.527456e+00 +-1.657869e+00 +-1.940590e+00 +-8.803385e-01 +-2.332212e-01 +-7.615385e-04 0.000000e+00 0.000000e+00 0.000000e+00 diff --git a/out/dBspline2.dat b/out/dBspline2.dat index cc84627..5fc4ddf 100644 --- a/out/dBspline2.dat +++ b/out/dBspline2.dat @@ -1,13 +1,13 @@ 0.000000e+00 - 2.278733e+00 - 2.580930e+00 - 9.065925e-01 --1.223640e+00 --2.097562e+00 --1.713690e+00 --7.855650e-01 --2.138400e-01 --1.485000e-03 + 1.752871e+00 + 1.985331e+00 + 6.973788e-01 +-9.412615e-01 +-1.613510e+00 +-1.318223e+00 +-6.042808e-01 +-1.644923e-01 +-1.142308e-03 0.000000e+00 0.000000e+00 0.000000e+00 diff --git a/out/dBspline3.dat b/out/dBspline3.dat index 3f18315..34b94ea 100644 --- a/out/dBspline3.dat +++ b/out/dBspline3.dat @@ -1,16 +1,16 @@ 0.000000e+00 - 1.796850e-01 - 7.187400e-01 - 1.617165e+00 - 2.199120e+00 - 1.703625e+00 - 1.300200e-01 --1.570305e+00 --2.196480e+00 --1.744545e+00 --8.085000e-01 --2.258850e-01 --2.640000e-03 + 1.382192e-01 + 5.528769e-01 + 1.243973e+00 + 1.691631e+00 + 1.310481e+00 + 1.000154e-01 +-1.207927e+00 +-1.689600e+00 +-1.341958e+00 +-6.219231e-01 +-1.737577e-01 +-2.030769e-03 0.000000e+00 0.000000e+00 0.000000e+00 diff --git a/out/dBspline9.dat b/out/dBspline9.dat index be012df..b5c6674 100644 --- a/out/dBspline9.dat +++ b/out/dBspline9.dat @@ -17,18 +17,18 @@ 0.000000e+00 0.000000e+00 0.000000e+00 - 1.202850e-01 - 5.940000e-01 - 1.427085e+00 - 2.173380e+00 - 1.873905e+00 - 4.963200e-01 --1.340625e+00 --2.162820e+00 --1.906905e+00 --9.530400e-01 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e0ae447..49ada5d 100644 Binary files a/out/grid.bin and b/out/grid.bin differ diff --git a/out/grid.dat b/out/grid.dat index 61c3b79..df7361c 100644 --- a/out/grid.dat +++ b/out/grid.dat @@ -1,100 +1,100 @@ 0.000000e+00 - 1.000000e-01 - 2.000000e-01 - 3.000000e-01 - 4.000000e-01 - 5.000000e-01 - 6.000000e-01 - 7.000000e-01 - 8.000000e-01 - 9.000000e-01 - 1.000000e+00 - 1.100000e+00 - 1.200000e+00 + 1.300000e-01 + 2.600000e-01 + 3.900000e-01 + 5.200000e-01 + 6.500000e-01 + 7.800000e-01 + 9.100000e-01 + 1.040000e+00 + 1.170000e+00 1.300000e+00 - 1.400000e+00 - 1.500000e+00 - 1.600000e+00 - 1.700000e+00 - 1.800000e+00 - 1.900000e+00 - 2.000000e+00 - 2.100000e+00 - 2.200000e+00 - 2.300000e+00 - 2.400000e+00 - 2.500000e+00 + 1.430000e+00 + 1.560000e+00 + 1.690000e+00 + 1.820000e+00 + 1.950000e+00 + 2.080000e+00 + 2.210000e+00 + 2.340000e+00 + 2.470000e+00 2.600000e+00 - 2.700000e+00 - 2.800000e+00 - 2.900000e+00 - 3.000000e+00 - 3.100000e+00 - 3.200000e+00 - 3.300000e+00 - 3.400000e+00 - 3.500000e+00 - 3.600000e+00 - 3.700000e+00 - 3.800000e+00 + 2.730000e+00 + 2.860000e+00 + 2.990000e+00 + 3.120000e+00 + 3.250000e+00 + 3.380000e+00 + 3.510000e+00 + 3.640000e+00 + 3.770000e+00 3.900000e+00 - 4.000000e+00 - 4.100000e+00 - 4.200000e+00 - 4.300000e+00 - 4.400000e+00 - 4.500000e+00 - 4.600000e+00 - 4.700000e+00 - 4.800000e+00 - 4.900000e+00 - 5.000000e+00 - 5.100000e+00 + 4.030000e+00 + 4.160000e+00 + 4.290000e+00 + 4.420000e+00 + 4.550000e+00 + 4.680000e+00 + 4.810000e+00 + 4.940000e+00 + 5.070000e+00 5.200000e+00 - 5.300000e+00 - 5.400000e+00 - 5.500000e+00 - 5.600000e+00 - 5.700000e+00 - 5.800000e+00 - 5.900000e+00 - 6.000000e+00 - 6.100000e+00 - 6.200000e+00 - 6.300000e+00 - 6.400000e+00 + 5.330000e+00 + 5.460000e+00 + 5.590000e+00 + 5.720000e+00 + 5.850000e+00 + 5.980000e+00 + 6.110000e+00 + 6.240000e+00 + 6.370000e+00 6.500000e+00 - 6.600000e+00 - 6.700000e+00 - 6.800000e+00 - 6.900000e+00 - 7.000000e+00 - 7.100000e+00 - 7.200000e+00 - 7.300000e+00 - 7.400000e+00 - 7.500000e+00 - 7.600000e+00 - 7.700000e+00 + 6.630000e+00 + 6.760000e+00 + 6.890000e+00 + 7.020000e+00 + 7.150000e+00 + 7.280000e+00 + 7.410000e+00 + 7.540000e+00 + 7.670000e+00 7.800000e+00 - 7.900000e+00 - 8.000000e+00 - 8.100000e+00 - 8.200000e+00 - 8.300000e+00 - 8.400000e+00 - 8.500000e+00 - 8.600000e+00 - 8.700000e+00 - 8.800000e+00 - 8.900000e+00 - 9.000000e+00 + 7.930000e+00 + 8.060000e+00 + 8.190000e+00 + 8.320000e+00 + 8.450000e+00 + 8.580000e+00 + 8.710000e+00 + 8.840000e+00 + 8.970000e+00 9.100000e+00 - 9.200000e+00 - 9.300000e+00 - 9.400000e+00 - 9.500000e+00 - 9.600000e+00 - 9.700000e+00 - 9.800000e+00 - 1.000000e+01 + 9.230000e+00 + 9.360000e+00 + 9.490000e+00 + 9.620000e+00 + 9.750000e+00 + 9.880000e+00 + 1.001000e+01 + 1.014000e+01 + 1.027000e+01 + 1.040000e+01 + 1.053000e+01 + 1.066000e+01 + 1.079000e+01 + 1.092000e+01 + 1.105000e+01 + 1.118000e+01 + 1.131000e+01 + 1.144000e+01 + 1.157000e+01 + 1.170000e+01 + 1.183000e+01 + 1.196000e+01 + 1.209000e+01 + 1.222000e+01 + 1.235000e+01 + 1.248000e+01 + 1.261000e+01 + 1.274000e+01 + 1.300000e+01 diff --git a/out/ground_state_coeffs.dat b/out/ground_state_coeffs.dat new file mode 100644 index 0000000..f92bd1c --- /dev/null +++ b/out/ground_state_coeffs.dat @@ -0,0 +1,34 @@ + 1.133340e-01 + 2.694214e-01 + 4.439444e-01 + 4.595803e-01 + 4.179690e-01 + 3.547308e-01 + 2.883617e-01 + 2.276047e-01 + 1.758416e-01 + 1.336568e-01 + 1.003007e-01 + 7.449632e-02 + 5.486226e-02 + 4.011609e-02 + 2.915634e-02 + 2.108062e-02 + 1.517274e-02 + 1.087716e-02 + 7.770252e-03 + 5.533336e-03 + 3.929222e-03 + 2.782933e-03 + 1.966331e-03 + 1.386158e-03 + 9.748959e-04 + 6.838729e-04 + 4.781267e-04 + 3.326017e-04 + 2.293545e-04 + 1.555076e-04 + 1.017495e-04 + 6.122882e-05 + 2.593097e-05 + 8.380605e-06 diff --git a/out/knotpoints.dat b/out/knotpoints.dat index 02d5aed..c0295c1 100644 --- a/out/knotpoints.dat +++ b/out/knotpoints.dat @@ -2,39 +2,39 @@ 0.000000e+00 0.000000e+00 0.000000e+00 - 3.030303e-01 - 6.060606e-01 - 9.090909e-01 - 1.212121e+00 - 1.515152e+00 - 1.818182e+00 - 2.121212e+00 - 2.424242e+00 - 2.727273e+00 - 3.030303e+00 - 3.333333e+00 - 3.636364e+00 + 3.939394e-01 + 7.878788e-01 + 1.181818e+00 + 1.575758e+00 + 1.969697e+00 + 2.363636e+00 + 2.757576e+00 + 3.151515e+00 + 3.545455e+00 3.939394e+00 - 4.242424e+00 - 4.545455e+00 - 4.848485e+00 - 5.151515e+00 - 5.454545e+00 - 5.757576e+00 - 6.060606e+00 - 6.363636e+00 - 6.666667e+00 - 6.969697e+00 - 7.272727e+00 - 7.575758e+00 + 4.333333e+00 + 4.727273e+00 + 5.121212e+00 + 5.515152e+00 + 5.909091e+00 + 6.303030e+00 + 6.696970e+00 + 7.090909e+00 + 7.484848e+00 7.878788e+00 - 8.181818e+00 - 8.484848e+00 - 8.787879e+00 - 9.090909e+00 - 9.393939e+00 - 9.696970e+00 - 1.000000e+01 - 1.000000e+01 - 1.000000e+01 - 1.000000e+01 + 8.272727e+00 + 8.666667e+00 + 9.060606e+00 + 9.454545e+00 + 9.848485e+00 + 1.024242e+01 + 1.063636e+01 + 1.103030e+01 + 1.142424e+01 + 1.181818e+01 + 1.221212e+01 + 1.260606e+01 + 1.300000e+01 + 1.300000e+01 + 1.300000e+01 + 1.300000e+01 diff --git a/src/hf/bsplines_and_grid.c b/src/hf/bsplines_and_grid.c index b8e46f2..a605bae 100644 --- a/src/hf/bsplines_and_grid.c +++ b/src/hf/bsplines_and_grid.c @@ -268,7 +268,7 @@ set_up_bsplines_at_points_and_write_matrix_F64(Arena *arena) { U32 index = get_bspline_index(i, j); g_bspline_ctx.bsplines[index] = compute_bspline_F64(t[i], j); - g_bspline_ctx.bsplines[index] = compute_dBspline_F64(t[i], j); + g_bspline_ctx.dBsplines[index] = compute_dBspline_F64(t[i], j); } } diff --git a/src/hf/hf_base.c b/src/hf/hf_base.c index 618b29f..e8240a3 100644 --- a/src/hf/hf_base.c +++ b/src/hf/hf_base.c @@ -22,6 +22,24 @@ mat_F64(U32 size1, U32 size2) return out; } +function Mat_F64 +mat_F64_from_data(U32 size1, U32 size2, F64 *data) +{ + Mat_F64 out = {0}; + out.size1 = size1; + out.size2 = size2; + out.matrix = (F64 **)malloc(size1 * sizeof(F64 *)); + out.data = data; + + for(U32 i = 0; i < size1; i++) + { + out.matrix[i] = &out.data[i * size2]; + } + + return out; +} + + function void mat_F64_free(Mat_F64 *mat) { @@ -175,3 +193,30 @@ print_mat_F64(Mat_F64 *mat) } +function void +mat_invert_F64(Mat_F64 *mat) +{ + S32 n = mat->size1; + S32 lda = n; + S32 info; + S32 *ipiv = (S32*)malloc(n * sizeof(S32)); + F64 *work = (F64 *)malloc(n * sizeof(F64)); + S32 lwork = n; + + dgetrf_(&n, &n, mat->data, &lda, ipiv, &info); + + dgetri_(&n, mat->data, &lda, ipiv, work, &lwork, &info); + + free(ipiv); + free(work); +} + + + + + + + + + + diff --git a/src/hf/hf_base.h b/src/hf/hf_base.h index 7096a98..8b8fa67 100644 --- a/src/hf/hf_base.h +++ b/src/hf/hf_base.h @@ -31,12 +31,15 @@ struct GaussLegendre // Mat_F64 functions function Mat_F64 mat_F64(U32 size1, U32 size2); +function Mat_F64 mat_F64_from_data(U32 size1, U32 size2, F64 *data); function void mat_F64_free(Mat_F64 *mat); function inline void mat_F64_set(Mat_F64 *mat, U32 i, U32 j, F64 val); function inline F64 mat_F64_get(Mat_F64 *mat, U32 i, U32 j); function Mat_F64 mat_F64_copy(Mat_F64 *src); function void print_mat_F64(Mat_F64 *mat); +function void mat_invert_F64(Mat_F64 *mat); + // Gauss-Legendre function void set_up_gauss_legendre_points(Arena* arena); diff --git a/src/main.c b/src/main.c index 4ff75c1..bd1104d 100644 --- a/src/main.c +++ b/src/main.c @@ -54,6 +54,15 @@ struct SortPair_F64 U64 original_index; }; +typedef struct Eigensolution_F64 Eigensolution_F64; +struct Eigensolution_F64 +{ + F64 *eigenvalues_re; + F64 *eigenvalues_im; + Mat_F64 right_eigenvectors; + Mat_F64 left_eigenvectors; +}; + global Arena* g_base_arena = 0; @@ -179,13 +188,14 @@ function void EntryPoint(void) //- Then we generate the BSplines and save them off for reference and debugging. set_up_bsplines_at_points_and_write_matrix_F64(g_base_arena); - U32 N = g_bspline_ctx.num_knotpoints; U32 k = g_bspline_ctx.order; U32 mat_size1 = N - k - 2; U32 mat_size2 = mat_size1; Mat_F64 H = mat_F64(mat_size1, mat_size2); - Mat_F64 B = mat_F64(mat_size1, mat_size2); + Mat_F64 H_l = mat_F64(mat_size1, mat_size2); + // This will be the inverse of B, but to start with we construct B. + Mat_F64 B_inv = mat_F64(mat_size1, mat_size2); // We work in units hbar = 1, bohr radius a0 = 1, electron mass m_e = 1, and charge e = 1, // and 1/(4piepsilon_0) = 1. @@ -194,11 +204,13 @@ function void EntryPoint(void) { ArenaTemp scratch = scratch_get(0, 0); - LOG("Setting up matrices.\n"); - String8 setuplog = str8_pushf(scratch.arena, - "Num knotpoints: %i, Bspline order k = %i, Matrix size1 = N-k-2 = %i, size2 = %i\n", - N, k, mat_size1, mat_size2); - LOG(setuplog.str); +/* { */ +/* LOG("Setting up matrices.\n"); */ +/* String8 setuplog = str8_pushf(scratch.arena, */ +/* "Num knotpoints: %i, Bspline order k = %i, Matrix size1 = N-k-2 = %i, size2 = %i\n", */ +/* N, k, mat_size1, mat_size2); */ +/* LOG(setuplog.str); */ +/* } */ F64 *t = g_bspline_ctx.knotpoints; @@ -239,7 +251,7 @@ function void EntryPoint(void) F64 b = t[knotpoint_idx+1]; F64 prefac = 0.5*(b-a); - // Skip integrating between ghost points + // Only integrate non-zero intervals if(prefac > 1e-16) { for(U32 gq_i = 0; gq_i < g_gauss_legendre.order; gq_i++) @@ -252,7 +264,6 @@ function void EntryPoint(void) F64 dB_j = compute_dBspline_F64(r, bspl_index_j); F64 B_i = compute_bspline_F64(r, bspl_index_i); F64 B_j = compute_bspline_F64(r, bspl_index_j); - //F64 r_inv = r > 0.0 ? 1.0/r : 0.0; term1 += term_prefac*dB_i*dB_j; term2 += term_prefac*B_i*B_j / (r * r); term3 += term_prefac*B_i*B_j/r; @@ -261,68 +272,34 @@ function void EntryPoint(void) } } - F64 term_sum = 0.5*term1 + (0.5*(l*(l+1.0))*term2) + (-Z)*term3; - String8 debug = str8_pushf(scratch.arena, "(i=%i,j=%i,t_i=%4.4f,t_i=%4.4f,term1=%.4e,term2=%.4e,term3=%.4e,term_sum=%.4e) \n", - bspl_index_i, bspl_index_j, t[bspl_index_i+k-1],t[bspl_index_j+k-1],term1,term2,term3,term_sum); - LOG(debug.str); - mat_F64_set(&H, i, j, term_sum); - mat_F64_set(&B, i, j, Bmat_term); + F64 H_term_sum = 0.5*term1 + (-Z)*term3; + F64 H_l_term = 0.5*term2; + /* String8 debug = str8_pushf(scratch.arena, "(i=%i,j=%i,t_i=%4.4f,t_i=%4.4f,term1=%.4e,term2=%.4e,term3=%.4e,term_sum=%.4e) \n", */ + /* bspl_index_i, bspl_index_j, t[bspl_index_i+k-1],t[bspl_index_j+k-1],term1,term2,term3,term_sum); */ + /* LOG(debug.str); */ + mat_F64_set(&H, i, j, H_term_sum); + mat_F64_set(&H_l, i, j, H_l_term); + mat_F64_set(&B_inv, i, j, Bmat_term); //mat_F64_set(&H, i, j, abs_index_diff); } //mat_F64_set(&H, i, j, abs_index_diff); } - LOG("\n"); + //LOG("\n"); } - LOG(str8_pushf(scratch.arena, "H.size1=N-k-2=%i, last bspline index=%i \n", H.size1, g_bspline_ctx.num_bsplines-1).str); + //LOG(str8_pushf(scratch.arena, "H.size1=N-k-2=%i, last bspline index=%i \n", H.size1, g_bspline_ctx.num_bsplines-1).str); scratch_release(scratch); - print_mat_F64(&H); - LOG("\n"); + //print_mat_F64(&H); + //LOG("\n"); //print_mat_F64(&B); } - // Our problem is Hc = EBc, but we want to solve B^-1Hc = Ec, - // so we invert the B matrix and compute the product A = B^-1H before calling zgeev - - Mat_F64 B_inv = mat_F64_copy(&B); - Mat_F64 A = mat_F64(H.size1, H.size2); Arena *mkl_arena = m_make_arena(); - //print_mat_F64(&B); - LOG("\n"); - //print_mat_F64(&B_inv); - // Invert - { - S32 n = B_inv.size1; - S32 lda = n; - S32 info; - S32 *ipiv = (S32*)malloc(n * sizeof(S32)); - F64 *work = (F64 *)malloc(n * sizeof(F64)); - S32 lwork = n; - - dgetrf_(&n, &n, B_inv.data, &lda, ipiv, &info); - - dgetri_(&n, B_inv.data, &lda, ipiv, work, &lwork, &info); - - - //print_mat_F64(&B_inv); - - // Test that inverse worked - /* { */ - /* Mat_F64 test = mat_F64(B_inv.size1, B_inv.size2); */ - - /* cblas_dgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans, */ - /* n, n, n, 1.0, B_inv.data, n, B.data, n, 1.0, test.data, n); */ - - /* LOG("\n"); */ - /* print_mat_F64(&test); */ - - /* mat_F64_free(&test); */ - /* } */ - - free(ipiv); - free(work); - } + // Our problem is Hc = EBc, but we want to solve B^-1Hc = Ec, + // so we invert the B matrix and compute the product A = B^-1H before calling zgeev + Mat_F64 A = mat_F64(H.size1, H.size2); + mat_invert_F64(&B_inv); // Multiply to get A = B^-1 H { @@ -333,6 +310,7 @@ function void EntryPoint(void) print_mat_F64(&A); } + Eigensolution_F64 eigensolution = {0}; // Solve generalised eigenvalue problem { S32 n = A.size1; @@ -349,7 +327,7 @@ function void EntryPoint(void) F64 *wi = PushArray(mkl_arena, F64, n); F64 *vl = PushArray(mkl_arena, F64, ldvl*n); F64 *vr = PushArray(mkl_arena, F64, ldvr*n); - + lwork = -1; F64 *a = A.data; dgeev("Vectors", "Vectors", &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, @@ -364,27 +342,22 @@ function void EntryPoint(void) exit( 1 ); } + eigensolution.right_eigenvectors = mat_F64_from_data(ldvr, n, vr); + print_eigenvalues( "Eigenvalues unsorted:", n, wr, wi ); U64 *sorted_indices = PushArray(mkl_arena, U64, n); sort_and_get_indices_F64(wr, sorted_indices, n); sort_by_indices_F64(wi, sorted_indices, n); - /* Print eigenvalues */ print_eigenvalues( "Eigenvalues sorted: ", n, wr, wi ); - /* Free workspace */ + + + U64 lowest_energy_index = sorted_indices[0]; + write_array_F64(str8_lit("D:\\dev\\hf_again\\out\\ground_state_coeffs.dat"), eigensolution.right_eigenvectors.matrix[lowest_energy_index], n, "%13.6e\n"); + + free( (void*)work ); - - } -} -//~ TODO -//- -/// -/// - Use arena for matrices instead of malloc maybe -/// - Factor l-dependent matrix -/// - Print eigenfunctions for plotting -/// - Solve for more shells -/// - Make some good orbital/atom abstraction -/// - Then try to make hartree fock work maybe. -/// - Need to make a Complex double (Z64) version if I want to go relativistic + +} diff --git a/src/test_mkl.c b/src/test_mkl.c deleted file mode 100644 index 41a9bbb..0000000 --- a/src/test_mkl.c +++ /dev/null @@ -1,272 +0,0 @@ - -/******************************************************************************* - * Copyright 2009-2021 Intel Corporation. - * - * This software and the related documents are Intel copyrighted materials, and - * your use of them is governed by the express license under which they were - * provided to you (License). Unless the License provides otherwise, you may not - * use, modify, copy, publish, distribute, disclose or transmit this software or - * the related documents without Intel's prior written permission. - * - * This software and the related documents are provided as is, with no express - * or implied warranties, other than those that are expressly stated in the - * License. - *******************************************************************************/ - -/* - ZGEEV Example. - ============== - - Program computes the eigenvalues and left and right eigenvectors of a general - rectangular matrix A: - - ( -3.84, 2.25) ( -8.94, -4.75) ( 8.95, -6.53) ( -9.87, 4.82) - ( -0.66, 0.83) ( -4.40, -3.82) ( -3.50, -4.26) ( -3.15, 7.36) - ( -3.99, -4.73) ( -5.88, -6.60) ( -3.36, -0.40) ( -0.75, 5.23) - ( 7.74, 4.18) ( 3.66, -7.53) ( 2.58, 3.60) ( 4.59, 5.41) - - Description. - ============ - - The routine computes for an n-by-n complex nonsymmetric matrix A, the - eigenvalues and, optionally, the left and/or right eigenvectors. The right - eigenvector v(j) of A satisfies - - A*v(j)= lambda(j)*v(j) - - where lambda(j) is its eigenvalue. The left eigenvector u(j) of A satisfies - - u(j)H*A = lambda(j)*u(j)H - - where u(j)H denotes the conjugate transpose of u(j). The computed - eigenvectors are normalized to have Euclidean norm equal to 1 and - largest component real. - - Example Program Results. - ======================== - - ZGEEV Example Program Results - - Eigenvalues - ( -9.43,-12.98) ( -3.44, 12.69) ( 0.11, -3.40) ( 5.76, 7.13) - - Left eigenvectors - ( 0.24, -0.18) ( 0.61, 0.00) ( -0.18, -0.33) ( 0.28, 0.09) - ( 0.79, 0.00) ( -0.05, -0.27) ( 0.82, 0.00) ( -0.55, 0.16) - ( 0.22, -0.27) ( -0.21, 0.53) ( -0.37, 0.15) ( 0.45, 0.09) - ( -0.02, 0.41) ( 0.40, -0.24) ( 0.06, 0.12) ( 0.62, 0.00) - - Right eigenvectors - ( 0.43, 0.33) ( 0.83, 0.00) ( 0.60, 0.00) ( -0.31, 0.03) - ( 0.51, -0.03) ( 0.08, -0.25) ( -0.40, -0.20) ( 0.04, 0.34) - ( 0.62, 0.00) ( -0.25, 0.28) ( -0.09, -0.48) ( 0.36, 0.06) - ( -0.23, 0.11) ( -0.10, -0.32) ( -0.43, 0.13) ( 0.81, 0.00) - */ -#include -#include -#include - -/* Auxiliary routines prototypes */ -function void -print_matrix_cmplx16( char* desc, int m, int n, MKL_Complex16* a, int lda ); - -#ifndef TEST_ZGEEV_N -#define TEST_ZGEEV_N 4 -#endif - -/* Main program */ -static void -test_mkl_zgeev(void) { - /* Locals */ - int N = TEST_ZGEEV_N; - MKL_INT n = N, lda = N, ldvl = N, ldvr = N, info, lwork; - MKL_Complex16 wkopt; - MKL_Complex16* work; - /* Local arrays */ - /* rwork dimension should be at least 2*n */ - double rwork[2*TEST_ZGEEV_N]; - MKL_Complex16 w[TEST_ZGEEV_N], vl[TEST_ZGEEV_N*TEST_ZGEEV_N], vr[TEST_ZGEEV_N*TEST_ZGEEV_N]; - MKL_Complex16 a[TEST_ZGEEV_N*TEST_ZGEEV_N] = { - {-3.84, 2.25}, {-0.66, 0.83}, {-3.99, -4.73}, { 7.74, 4.18}, - {-8.94, -4.75}, {-4.40, -3.82}, {-5.88, -6.60}, { 3.66, -7.53}, - { 8.95, -6.53}, {-3.50, -4.26}, {-3.36, -0.40}, { 2.58, 3.60}, - {-9.87, 4.82}, {-3.15, 7.36}, {-0.75, 5.23}, { 4.59, 5.41} - }; - /* Executable statements */ - LOG( " ZGEEV Example Program Results\n" ); - /* Query and allocate the optimal workspace */ - lwork = -1; - zgeev( "Vectors", "Vectors", &n, a, &lda, w, vl, &ldvl, vr, &ldvr, - &wkopt, &lwork, rwork, &info ); - lwork = (MKL_INT)wkopt.real; - work = (MKL_Complex16*)malloc( lwork*sizeof(MKL_Complex16) ); - /* Solve eigenproblem */ - zgeev( "Vectors", "Vectors", &n, a, &lda, w, vl, &ldvl, vr, &ldvr, - work, &lwork, rwork, &info ); - /* Check for convergence */ - if( info > 0 ) { - LOG( "The algorithm failed to compute eigenvalues.\n" ); - exit( 1 ); - } - /* Print eigenvalues */ - print_matrix_cmplx16( "Eigenvalues", 1, n, w, 1 ); - /* Print left eigenvectors */ - print_matrix_cmplx16( "Left eigenvectors", n, n, vl, ldvl ); - /* Print right eigenvectors */ - print_matrix_cmplx16( "Right eigenvectors", n, n, vr, ldvr ); - /* Free workspace */ - free( (void*)work ); - //exit( 0 ); -} /* End of ZGEEV Example */ - -/* Auxiliary routine: printing a matrix */ -function void -print_matrix_cmplx16( char* desc, int m, int n, MKL_Complex16* a, int lda ) { - ArenaTemp scratch = scratch_get(0,0); - int i, j; - String8 newline = str8_lit("\n"); - String8 header = str8_pushf(scratch.arena, "\n %s\n", desc ); - LOG(header.str); - //printf("\n %s \n", desc); - for( i = 0; i < m; i++ ) { - for( j = 0; j < n; j++ ) { - String8 outstr = str8_pushf(scratch.arena, " (%6.2f,%6.2f)", a[i+j*lda].real, a[i+j*lda].imag ); - LOG(outstr.str); - //printf(" (%6.2f,%6.2f)", a[i+j*lda].real, a[i+j*lda].imag ); - } - LOG(newline.str); - //printf("\n"); - } -} - -/******************************************************************************* - * Copyright 2009-2021 Intel Corporation. - * - * This software and the related documents are Intel copyrighted materials, and - * your use of them is governed by the express license under which they were - * provided to you (License). Unless the License provides otherwise, you may not - * use, modify, copy, publish, distribute, disclose or transmit this software or - * the related documents without Intel's prior written permission. - * - * This software and the related documents are provided as is, with no express - * or implied warranties, other than those that are expressly stated in the - * License. - *******************************************************************************/ - -/* - DSYEVD Example. - ============== - - Program computes all eigenvalues and eigenvectors of a real symmetric - matrix A using divide and conquer algorithm, where A is: - - 6.39 0.13 -8.23 5.71 -3.18 - 0.13 8.37 -4.46 -6.10 7.21 - -8.23 -4.46 -9.58 -9.25 -7.42 - 5.71 -6.10 -9.25 3.72 8.54 - -3.18 7.21 -7.42 8.54 2.51 - - Description. - ============ - - The routine computes all eigenvalues and, optionally, eigenvectors of an - n-by-n real symmetric matrix A. The eigenvector v(j) of A satisfies - - A*v(j) = lambda(j)*v(j) - - where lambda(j) is its eigenvalue. The computed eigenvectors are - orthonormal. - If the eigenvectors are requested, then this routine uses a divide and - conquer algorithm to compute eigenvalues and eigenvectors. - - Example Program Results. - ======================== - - DSYEVD Example Program Results - - Eigenvalues - -17.44 -11.96 6.72 14.25 19.84 - - Eigenvectors (stored columnwise) - -0.26 0.31 -0.74 0.33 0.42 - -0.17 -0.39 -0.38 -0.80 0.16 - -0.89 0.04 0.09 0.03 -0.45 - -0.29 -0.59 0.34 0.31 0.60 - -0.19 0.63 0.44 -0.38 0.48 - */ -#include -#include -#include - -/* Auxiliary routines prototypes */ -extern void print_matrix( char* desc, int m, int n, double* a, int lda ); - -/* Parameters */ -#define TEST_DSYEVD_N 5 -#define LDA TEST_DSYEVD_N - -/* Main program */ -function void -test_mkl_dsyevd(void) { - /* Locals */ - MKL_INT n = TEST_DSYEVD_N, lda = LDA, info, lwork, liwork; - MKL_INT iwkopt; - MKL_INT* iwork; - double wkopt; - double* work; - /* Local arrays */ - double w[TEST_DSYEVD_N]; - double a[LDA*TEST_DSYEVD_N] = { - 6.39, 0.00, 0.00, 0.00, 0.00, - 0.13, 8.37, 0.00, 0.00, 0.00, - -8.23, -4.46, -9.58, 0.00, 0.00, - 5.71, -6.10, -9.25, 3.72, 0.00, - -3.18, 7.21, -7.42, 8.54, 2.51 - }; - /* Executable statements */ - LOG( " DSYEVD Example Program Results\n" ); - /* Query and allocate the optimal workspace */ - lwork = -1; - liwork = -1; - dsyevd( "Vectors", "Upper", &n, a, &lda, w, &wkopt, &lwork, &iwkopt, - &liwork, &info ); - lwork = (MKL_INT)wkopt; - work = (double*)malloc( lwork*sizeof(double) ); - liwork = iwkopt; - iwork = (MKL_INT*)malloc( liwork*sizeof(MKL_INT) ); - /* Solve eigenproblem */ - dsyevd( "Vectors", "Upper", &n, a, &lda, w, work, &lwork, iwork, - &liwork, &info ); - /* Check for convergence */ - if( info > 0 ) { - LOG( "The algorithm failed to compute eigenvalues.\n" ); - exit( 1 ); - } - /* Print eigenvalues */ - print_matrix( "Eigenvalues", 1, n, w, 1 ); - /* Print eigenvectors */ - print_matrix( "Eigenvectors (stored columnwise)", n, n, a, lda ); - /* Free workspace */ - free( (void*)iwork ); - free( (void*)work ); -} /* End of DSYEVD Example */ - -/* Auxiliary routine: printing a matrix */ -void print_matrix( char* desc, int m, int n, double* a, int lda ) { - ArenaTemp scratch = scratch_get(0, 0); - int i, j; - //printf( "\n %s\n", desc ); - String8 header = str8_pushf(scratch.arena, "\n %s\n", desc); - LOG(header.str); - for( i = 0; i < m; i++ ) { - for( j = 0; j < n; j++ ) - { - String8 out = str8_pushf(scratch.arena, " %6.2f", a[i+j*lda] ); - LOG(out.str); - //printf( " %6.2f", a[i+j*lda] ); - } - LOG(str8_lit("\n").str); - } -} - -