diff --git a/notebooks/figures/fig_jacobi.svg b/notebooks/figures/fig_jacobi.svg new file mode 100644 index 0000000..eef92f9 --- /dev/null +++ b/notebooks/figures/fig_jacobi.svg @@ -0,0 +1,130710 @@ + +image/svg+xmluu_newu_new[i] = u[i-1]+u[i]+u[1+1]iii+1i-1ii+1i-1iii+1i-1iuu_newuu_newuu_newuuu_newuu_newii-1i+1ichnl_next_sndchnl_next_rcvchnl_prev_rcvchnl_prev_sndxu0L-110Ln+2 pointsu?-1?????????1uu_newii-1i+1iii+1i-1iuu_newkijuuuu_newii-1i+1ikijxxxxxxxxxxxxxxxxxxxxxxxxxxxx????????????????????????????????????kij1D block2D block2D cyclicxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxu?-1?????????1uu_new?-1?????????1-1-111srsuu_newrsrsuu_newrr-1s+1uuu_newcommunicationcomputationuu_newi-1i+1ii+1-1-1-1111uuu_newcommunicationcomputation-1-1-1111(i+1,j)(i,j)(i-1,j)(i,j+1)(i,j-1)xxxxxxxxxxxxxxxxxxxxxxxxxxxx????????????????????????????????????Partition2nd CPUPartition2nd CPUCPU 1CPU 2CPU PNNN/PCPU 1CPU 2CPU PNNN/PCPU 1CPU 2CPU PCPU 1CPU 2CPU PCPU 5CPU 5Data updatedData usedCPU 2CPU 2Data updatedData usedCPU 5CPU 5Data updatedData usedCPU 1CPU 1Data updatedData usedCPU 5?Data updatedData useduu_newCPU 2localremoteremote12345232191234921531234123412935000012341234123350000InputOutput968561081234921531234123412935000012341234123350000InputOutput968561081234921531234123412935000012341234123350000InputOutput968561081234921531234123412935000012341234129350000Inputk=01234321531234123412935000012341234123350000Inputk=11234321531234123412935000012341234123350000Inputk=256561234321531234123412935000012341234123350000Inputk=356561088101234321531234123412935000012341234123350000Inputk=45656108810968968kijC[i,j]C[i,k]C[k,j]C[i,j] = min(C[i,j],C[i,k]+C[k,j])kijC[i,j] = min(C[i,j],C[i,k]+C[k,j])CPU 2ijkkCPU 2ijkkCPU 2kCPU 2CPU 2Data updatedData used (iteration k)kCPU 2?Data updatedData used (iteration k)CPU 2CPU 2N/PN1P1P2P3123456timeP1P2P3123456time124343342323422422314111333344461243433423234224223141113333444661243433232322314142241133343444612434332323223141422411333434446791243433232322314142241133343444666779124343323232231414224113334344467912341234123412340000Table CGraph GOutput32232413232413Start =11234Length = 66124343342323422422314111333344412341234321243433423234224223141113333444123412341234123412341234123410101010101055555xxxx12443342332..................MasterWorkersmaxhops?Data updatedData used (iteration k)kkData updatedkkData updatedkkData updatedkkData updatedkkData updatedkData updatedkkData updatedkkkusing a 12x12 matrixmyrowskkCPU 1Data updated (iteration k)?kkCPU 3kkCPU 3Data updated (iteration k)Data used (iteration k)kkCPU 3kkCPU 3Data updated (iteration k)Data used (iteration k)?1D block2D block2D cyclic1D block1D cyclickkkkData updated (iteration k)Data updated (iteration k)CPU 1CPU 4??kkkkData updated (iteration k)Data updated (iteration k)CPU 1CPU 4CPU 1CPU 1CPU 4CPU 4kkCPU 3Data updated (iteration k)?kkCPU 3Data used (iteration k)?kkCPU 1Data updated (iteration k)?kkCPU 1Data used (iteration k)?CPU 2Data updatedData used?CPU 5Data updatedData used?CPU 1Data updatedData used?uu_newCPU 2???CPU 2CPU 1CPU 31243433423234224223141113333444W1W2W3W4W5W61243433423234224223141113333444W1W2W312434334232342242231411133334441243433423234224223141113333444W1W2W36679771243433423234224223141113333444W1W2W3rank 0rank 1rank 2rootrand(1:10)kkCPU 3Data updated (iteration k=6)?CPU 2CPU 1??kkCPU 3Data updated (iteration k=6)CPU 2CPU 1Data updated (iteration k=6)kkCPU 1CPU 2CPU 3CPU 4Data updated (iteration k=6)kkCPU 1CPU 2CPU 3CPU 4Data updated (iteration k=6)kkCPU 1CPU 1CPU 1CPU 2CPU 2CPU 2CPU 3CPU 3CPU 3CPU 4CPU 4CPU 4Data updated (iteration k=6)kkCPU 1CPU 1CPU 1CPU 2CPU 2CPU 2CPU 3CPU 3CPU 3CPU 4CPU 4CPU 4kkkkData updated (iteration k)Data used (iteration k)kiikkkkData updated (iteration k)Data used (iteration k)kii?uu_newCPU 2localremoteremotelocalremoteOutput1243433423234224223141113333444Outputmin distance = 6Outputmin distance = 6697978 diff --git a/notebooks/pdes.ipynb b/notebooks/pdes.ipynb index 23680da..0d26c41 100644 --- a/notebooks/pdes.ipynb +++ b/notebooks/pdes.ipynb @@ -40,21 +40,10 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "821ac5e2", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "pdes_check_1 (generic function with 1 method)" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using Printf\n", "function answer_checker(answer,solution)\n", @@ -64,7 +53,10 @@ " \"It's not correct. Keep trying! 💪\"\n", " end |> println\n", "end\n", - "pdes_check_1(answer)=answer_checker(answer, \"b\")" + "pdes_check_1(answer)=answer_checker(answer, \"b\")\n", + "pdes_check_2(answer)=answer_checker(answer, \"c\")\n", + "pdes_check_3(answer)=answer_checker(answer, \"d\")\n", + "pdes_check_4(answer)=answer_checker(answer, \"a\")" ] }, { @@ -248,29 +240,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "b3b69c74", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8×8 Matrix{Float64}:\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "N = 8\n", "u = zeros(N,N)" @@ -278,21 +251,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "c7af2b38", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "fill_boundary! (generic function with 1 method)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function fill_boundary!(u)\n", " u_window = 5.0\n", @@ -321,29 +283,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "76888875", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8×8 Matrix{Float64}:\n", - " 20.0 20.0 40.0 20.0 20.0 20.0 20.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0\n", - " 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "fill_boundary!(u)" ] @@ -360,7 +303,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e29f8eaf", "metadata": {}, "outputs": [], @@ -370,21 +313,10 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "b75d45cf", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "visualize (generic function with 1 method)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function visualize(u;title=\"Temperature distribution\")\n", " xlabel=\"x-coordinate\"\n", @@ -402,539 +334,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "b5a0362c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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UB0KIhoZGYGBgeHj46NGjV6xYoaWldfPmzZ9//tne3j4lJUV0V3369ImPj//4449Hjx6tra1tZmY2duzYhkf08/MLCAg4f/68n5/fmjVrOnXq9ODBg5UrV1IU9dNPP2HJmXaMvVNyQVqNzseuqalZvHixmpqa6KeprKw8ZMgQevou9b/5E0eOHBHdG93VExgYKHYUuk+ZOfOdmY+9cuVK0eFof3//0tJSsfBCQkLEep85HE7//v0zMzPpOvT8CdF5fIw///xTdMTYyMgoMjKyX79+hBBmIghFUc+ePevbty8TCT0fm6Ko0tJSesohjcvlhoSENDUfu9G39+bNmw1PIurUqdPRo0eb/EgoiqKof//9V/TMHB6Pd+fOHcnzsaOiohoO5js4OMTExIi+nwsXLhQdDxedj33x4sWGkTQ6f2LBggWrV68W/eyGDh0qOpOGoqjs7Gw3Nzemgrq6elhYWMP5Ezk5Of7+/syUewnzsSsrK6dNmyZ6UC0tra1bt4oelJmPLfYq6AmGOTk5kt92aHscCmcXtAevXr0ihNjb24udQVRcXBwVFZWZmampqWlhYeHu7i56Sk9RUVFJSQmPxxP90amrq8vKytLU1KS7pxmZmZl8Pr9z5870IcLDw8ePH7906dItW7a8efPm7t27NTU1PXr0EP2xFlVZWXnv3r20tDQVFRVzc/MePXqIrk5RXl5eUFBgaGjY6FBtbm7u/fv38/PzraysfH19NTU13759W1tbS3eMiNbk8/m5ubl8Pl9XV5f5waUo6u7du8+fP9fS0vLx8bGysiouLi4uLhZ94RkZGQKBoEuXLo2+vUKh8OnTp/Hx8dXV1ebm5ra2tm5ubo2+zIav+urVq3l5efRCRpqamunp6RRFMas51dTUZGZm6urqMhmFoqiEhISUlJT8/Hx9fX07Ozt3d/dG1zUqLCyku3roD4XeNDMza9hkSUlJUVZWZg5aVVWVm5tLv0Xp6em3b9+uqalxc3Pr169fwxclEAhu3Ljx+vVrXV3dYcOGGRsbFxQUlJeXW1hYiJ4hTQipr6/Py8ujz5ymO8cyMzNramrs7OzE4n/z5k1UVFR5ebm5ufngwYPFPvSysrLCwsKGX4bs7OyampqGHzqwDnkCGieaJ9iOBQDYhHFsAACQBHkCAAAkwflO0DgXF5eNGzfSA5UA8CHD+AQAAEiCficAAJAEeQIAACRBngAAAEmQJwAAQBLkCQAAkAR5AgAAJEGeAAAASZAnAABAEuQJAACQBHkCAAAkQZ4AAABJkCcAAEAS5AkAAJAEeQIAACRBngAAAEmQJwAAQBLkCQAAkAR5AgAAJEGeAAAASZAnAABAEuQJAACQBHkCAAAkQZ4AAABJkCcAAEAS5AkAAJAEeQIAACRBngAAAEmQJwAAOg6KoubOnTtt2jSmJCcnZ+rUqc7OzuPHj3/z5k0r9ok8AQDQcezbt+/mzZt3795lSqZMmaKtrR0REeHg4BAYGEhRVEv3yWnFcwAAQAHl5OT4+fmtWrXq22+/TUtLI4QkJSW5u7sXFBRoa2vX19ebmZmFh4d7eXm1aLdoTwAAdBDz5s0LDg7W19dnShISErp166atrU0I4XK57u7uCQkJLd0t8gQAQEdw6NAhZWXljz/+WLSwoKBANG0YGBjk5eW1dM/KMoiOVWFhYaWlpUuXLm2zI748d7f5So2hKKq+vl5Zud2/56IEAkHHe0VcLpfD4bT9oS8W1Mtjtwr7xRtpwm31c9/ni+cwZlCrjysP1cKbQlIqZeVt6+NXr14tWrJ48eKtW7cWFRWtWrUqMjKyuLi4oqJCKBQWFxfr6enp6elVVlYylcvLyw0MDFoaocJ9dVqqsLCwtFTat1gmkk7daMvDwYdjY0Id2yG0KVsXVVaOq2h5olJ4WUBlSFn53Tvetm3bFi1aJFael5fH5XLHjBlDCKmqqiosLOzTp8+9e/c6d+6cmprKpNWXL19++eWXLY0Q/U4AAGziCAlHSEl5a2onTk5Oqf+zd+9eS0vL1NRUMzMzT09PQ0PD/fv3E0LOnTtXWlrq7+/f0gjbfXsCAKBd41CSEkArqKio6Onp/XfnHM6BAwcmT568Zs0aoVB48OBBNTW1lu4QeQIAgE0ciuLIdH6Cn59fXFwcs+np6fnmzZuSkhI9PT0lpdb0ISFPAAB0cBwOpxXD1wzkCQAANkkeeFAEyBMAAKyiCBGyHYNEyBMAAGyS+fiEzCFPAACwSkgUvN8J8ycAAEAStCcAANgk8/kTMoc8AQDAKiFFkCcAAKApGMcGAACJFL49gXFsAACQRO55orKycteuXbNnz544cWJTC4AXFxfPnj3b1dV1zJgxiYmJTHlkZKSPj0+PHj1+/PHH+nq5LM0PAMAuehz7PdeLlSu554ni4uI7d+5YWVmdOHGipqam0Tr/+c9/SktLw8PDBw0aNHLkSD6fTwhJSUn55JNPFi5ceOTIkdOnT//666/yDhUAoO1xqP8OUUhzYyVCuecJKyurI0eOLFy4sKkKeXl54eHh27Zt69q164oVKzQ1Nc+dO0cICQsLGzt27Lhx45ydndetW/fHH3/IO1QAABbQ4xNS3tjA/vhEcnIyj8eztLSkN/v27RsfH08ISUhI6Nu3L13Yp0+f169fi169DwCgg6DoSxVJdWMF++c75efnM5fUIIQYGBjk5+fT5czlv+kVcfPz8zt37iz29MTExHPnzv3zzz/0ZlBQ0Jo1a9oibgBonyoqKtrycMrKyurq6m15RJljP080vMw33bbQ09NjPk76TqPrp3fr1k1bW3v58uX0prm5uYaGhtyDBoB2S1tbm+0Q/n8URTB/QrIuXbrk5OSUl5fr6OgQQl6+fDlw4EBCSOfOnV+9ekXXefHihYGBAdO8EMXlcvX19bt06dKWMQMAyIriX3+iLcYniouLS0pKCCGlpaXFxcV04fHjxyMiIggh9vb2vXr1ooepo6Ojnz17Nn78eELItGnTjh07lpOTQ1HUjh07pk6d2gahAgC0NUrRx7Hboj3h5ORUV1dnYGDg4eFBCCkqKiKEXLt2TVdXd+zYsYSQ3bt3BwUF/fbbbzU1NWFhYXT/kre396xZs5ycnNTU1JydnXft2tUGoQIAtDH6vFi2o5CkLfJEbm5uw8LQ0FDmvqura3Jy8rt37/T09FRUVJjy4ODg77//vqam5n2u7AoAAO+D/fEJGofDMTY2bliuoaGBcWkA6MgUfn0nRckTAAAfJg7F2sQIKSFPAACwCufFAgCABDgvFgAA2je0JwAAWIVxbAAAaIZCpwnkCQAAdin8+ATyBAAAq4QE/U4AACB3Bw8ejImJKS0ttbe3nzNnjrm5OSHk1atXe/bsYepMmzbNxcWlpXvG+U4AAGzi/HeJJ6luEsTExLi4uIwcOfLVq1f9+/cvLS0lhKSlpR06dMjgf1RVVVsRIdoTAACsktH5Tr///jt9Z/LkyTwe78mTJz4+PoQQMzOzFStWvM+ekScAAFgl0/NiKYq6evWqUCjs3r07XZKfn79y5Uo9Pb2xY8c6Ozu3Yp/odwIAYJOs+p0IIVOnTlVXVx87duxff/3F4/EIIXR6MDMzy8rK8vDwOHfuXCsiRHsCAKA92bp166FDh5jNCRMmMN1Khw8f3rt377Vr16ZNm2Zvb9+zZ89+/fr169ePftTOzm7t2rVjxoxp6RGRJ9qToLtn2Q4BQIYC2Q5AMbSw32nixImTJ09mNi0tLUUfVVNTGz16tKen59WrV3v27Cn6UM+ePTdv3tyKAJEnAABYJSSkJeuKW1lZ9e7dW6ywsrKSw+FoamoSQgoLC+Pi4ubMmUPfpy/tIxQKDx8+3PCJ0kCeAABglSzWFU9LS/P29nZxcVFVVX306NGECRMCAwMJIcuXL4+Ojra1tU1JSVFRUTlz5kwrdo48AQDQ7jk7O6ekpCQkJAiFQnt7e6YzKiwsLDExMT8/n8fjde/eXVm5Nb/5yBMAAGziUC3rd2qKgYGBl5eXWCGXy3Vzc3vPPSNPAACwCus7AQCAJBTWFQcAAAlk1O8kP5iPDQAAkqA9AQDAKlz3FAAAJOBgfAIAACRR+PEJ5AkAAFbJYj62XGEcGwAAJEF7AgCAVS1cB7DtIU8AALAK4xMAACAJzncCAABJFL7fCePYAAAgCdoTAACsQr8TAABIgnFsAACQROHHJ5AnAABYpfD9ThjHBgAASdCeAABgFcYnAABAEoXvd0KeAABgFcaxAQBAEopDKA7bQUiCcWwAAJAE7QkAAFZhHBsAACTB+AQAAEhAURxKsccnkCcAAFil8P1OGMcGAABJ0J4AAGCVjObZxcXFxcbGFhcXd+3adeTIkcrK//15r66uDg8PLyws9Pf379atWyv2jPYEAACrhIQIOdLemrZgwYL79+9nZ2evWbPG29u7rq6OEFJXV+ft7X3gwIHMzMwBAwZcvXq1FQGiPQEAwCoZtSdu375N36mpqTEzM3vw4MGgQYPOnDlTXV194cIFZWVle3v7H3/8cdiwYS3dM9oTAABsoigOJZT2Js0OCwoKBAKBhYUFIeTy5cujR4+m+6DGjh1779698vLylkaIPAEA0EEsXbrU3d29R48eu3fv7tKlCyHk7du35ubm9KOmpqZKSkrZ2dkt3S36nQAAWNXC9Z2OHz+elJTEbA4ZMmTSpEn0/Xnz5gUFBV27dm3p0qVeXl5WVlYcDoei3rdXC3kCAIBVLRyf6NSpU+/evZlNGxsb5r6dnZ2dnZ2np+etW7eOHz++ZMkSc3PzvLw8+tH8/HyhUMg0L6SHPAEAwCbpBx5onp6ec+bMEd8JRXE4/90Jn89/+/atsbExIcTPz2/Tpk3r169XUlK6cOGCh4eHrq5uSyNEngAAaPfi4uLmzp3r6empqqp69epVXV3dCRMmEELGjx+/efPmwMBAV1fXv/7669ChQ63YOfIEAAC7ZHD9CRcXlw0bNjx79kwoFAYHB48YMUJJSYkQoqamdu/evWPHjhUXF9+8edPV1bUVO0eeAABgEyUkLep3apSysrKvr6+vr2/Dh7S0tD7//PP32vn7PFl6kZGRT548sbe3DwoK4nK5Yo9GRETU1tYymzY2Nv369aurqzt79ixT6OTk5OLi0jbRAgC0HYW/nl1b5Im1a9ceOXJkxowZv/zyS2Rk5P79+8Uq3L59m5n6ceLEiUWLFvXr16+iomLixInMcI2qqiryBAB0QBR57zNX5UvueaKsrGzr1q337t1zdXX96quvrKysVq9ebW9vL1pny5Yt9J2srKx9+/Z9+umnzEN//fWXvCMEAAAJ5J4noqOjDQwM6METAwOD/v37X79+XSxPMPbu3evr6yt6OvDhw4eVlJQ8PT1tbW3lHSoAAAuoZhb4Y53c80R2draZmRmzaW5u3tSscYqiDhw4EBISwpT07dv39u3b7969mzNnzq5du6ZNm9bwWTk5OTExMcuXL6c3+/fvP2bMGJm+AgDoUERHQ9uAkpKSioqKhAq4nh3hcrlC4f9dq6m+vp4+W6uhf//9t7i4ODAwkN40NDR88OABff/EiROzZ8+ePHlywzFwZWVldXV1AwMDelNHR6ep/QMAEELa+Cei+cNhHNvc3Dw3N5fZzM3NHTp0aKM19+7dO3XqVHV19YYPDRs2rLS0NDs7u1OnTmIPmZiYeHp6fvfddzKMGQA6MMn/3be9ls7Hbntyz6uenp7l5eWPHj0ihOTl5T148GD48OGEkKKiohcvXjDVSktLz5w5I3qSr2gr5MaNG9ra2vQyuQAA0Jbk3p7Q0tJatWrVuHHjPvnkk8jIyM8++4wepg4PD9+2bVtiYiJd7dChQ05OTj179mSeuHPnztOnT7u6uubn558/f37Hjh0NO50AANo7ipAPfXyCELJs2bIBAwbExsb+8ssvdGOCEDJixAjRK7V6e3uLXWVpxowZtra26enpffv23bhxo+hJUAAAHQfGJ2gDBgwYMGCAaImVlZWVlRWz2XDVET09PUCegPkAACAASURBVJy5BAAdHs53AgAAiYRKlFChz9JU6OAAAIB1aE8AALAN/U4AANAUjE8AAIAkyBMAACCJ4ucJjGMDAIAkaE8AALBJ8dsTyBMAAOziUJRCd+0gTwAAsAntCQAAkETx84RCN3YAAIB1aE8AALBJ8dsTLcsTfD6/pqZGR0dHTtEAAHxoKErRx7GlCo6iqO3btzs4OGhqavr5+dGF8+fP37VrlzxjAwDo+Oj2hJQ3ViKUKk+sXr166dKlAwYMmDJlClNoa2u7c+dOuQUGAPCBaP95oqysbMuWLdu3b//777/9/f2Zcg8Pj6SkpLq6OnmGBwAALGs+T7x8+bK2tnby5Mli5TweTygUFhYWyicwAIAPAkU40t9YibD5cWwNDQ1CSHl5uaGhoWh5amoql8vV19eXV2gAAB8AIcURymIcWygUvnz5srCw0NHR0cTEhC6sqanJzs5m6vB4PG1t7ZbuufngunXrZmZmtmXLFkIIh8Nhjr1+/XpPT09NTc2WHhIAABgyGcfOzc3t1KnTmDFjvv/+e3t7+02bNtHljx49cnJyGvY/169fb0WEzbcnuFzuL7/8Mm3atISEBB6PV1BQsGbNmn/++efNmzc3btxoxSEBAOD/yGKAWkND4+zZs3369CGExMbG9unTZ8qUKZ06dSKE2NvbJyYmvs/OpWrsTJky5fTp00VFRcePH3/z5s26det0dXWvXbs2cODA9zk2AADIhJ6eHp0kCCEuLi4qKipFRUX0JkVRr169ys/Pb/XOpZ1nFxgYGBgY+O7du5KSEgMDA7GxCgAAaB2Zn/C6e/due3t7Z2dnejMrK2vcuHFv377t1q3bP//8Y21t3dIdNp8nhELhd999t3LlSn19fSMjIyMjI7o8Pj7+3Llz3333XUsPCQAADCFRErZkqb379++LDgz36tWrb9++zOaNGzd+/PHHixcvKisr04/m5+erq6vX1NR8+umn8+fPj4iIaGmEzQcnFAo3bdpUWloqVv7ixYs//vijpccDAABRVEuGsgkhmZmZj0W8evWK2dW9e/cmTZp0/Pjx3r170yVaWlrq6uqEEHV19fnz59+5c6cVEbZ+HcCioiI9Pb1WPx0AAFph4sSJixYtalgeHR390Ucf7d+/38fHp9EnpqWlGRsbt+KIkvJEZGTk7du3hUIhIWTTpk26urrMQ5WVleHh4U1FAwAAUmrZ+EQTFbOzs0eMGNG/f//4+Pj4+HhCyPjx4+3t7X/99Vc+n29nZ5eamrpx48affvqpFRFKyhPR0dGhoaH0/SNHjigp/V8nlba2dv/+/devX9+KQwIAgAjZTLSeO3cuIaS4uJje5PP5hJA+ffqcOHHi4cOHPB7v2LFjzEKuLSIpT6xbt27dunUCgUBFRSUuLs7GxqYVBwAAAAmEFEf43uc7WVhYbNy4sWH5oEGDBg0a9J47b358QllZmaKo9zwMAAA0qqNdp6i2traqqorZVFJSwlA2AEDHJtVJuxUVFfPnz7e2ttbU1DQUwczjAACA1qEIh55CIc2NlQilak989tlnly5dWrBgwdmzZ3v27Glvbx8eHp6fn7927Vo5hwcA0MEpfr9T89mpoqIiPDw8LCxsw4YNVlZWgwYNWrduXVxc3MCBA6Ojo9sgRACADkzxrz/RfJ5ITU2lKIq+kp2ysjI9PsHlcleuXHno0KHa2lq5xwgA0HHR5ztJeWMlwubzBD3nu76+nhBiZmaWkZFBl+vq6tbW1paUlMg1PgAAYFfzecLGxkZDQ4NevtzDw+PYsWOxsbElJSUhISH6+vo8Hk/+QQIAdFgUkcF1iuRKqvbEzJkzY2JiCCHTp083Njbu3bu3gYHB0aNH169fz1zhDgAAWoEiREg4Ut5YiVCq85127txJ39HQ0Hjw4MG1a9fevn3r6enZq1cvecYGANDxtbChwMKs5xavF6ulpRUYGCiPUAAAPkAtPJFJsfNEeXl5RkZGTU0NU6KiouLm5iaHqAAAQFFIlSdiY2Pnz59///59sXJLS8usrCw5RAUA8KGg2DvhVUrN54n6+vqAgABlZeVffvmla9euGhoazENqamryjA0AoONjcQKdlJrPEykpKTk5OVFRUZ6enm0QEADAB0VIkY7QniCE2Nrayj0WAIAPj+K3J5qfP+Hk5OTs7Hzp0qU2iAYAABSNVOPY33333dKlS7OzswcPHiw6PoHznQAA3lMHGceeOnUqIWTVqlViD+F8JwCA96T4/U7N5wkul3v16tVGH8L5TgAA70lIiFCxLy3dfJ7gcDh+fn5tEAoAwAdI8dsT7FxFDwAA2osm2xPHjx8/ePDgkiVLBg8e3NSCTkZGRn///be8QgMA+AC043Hsmpqa4uLiuro6iqKKi4sbf7Jyi5cRBAAAURQhCt7v1OQP/YwZM2bMmEHfv3v3blvFAwDwYWHxgqZSQoMAAIBlin26U9N5IicnJzs7W/KTMc8OAKDDazJP7NmzZ/Xq1ZKfjHl2AADvqR33O02dOtXDw4O+/+LFi5UrVwYGBo4cOZLH4+Xk5ISHh9++ffuXX35pqzgBADomxZ8/0WSe6Ny5c+fOnQkhFEV9/fXX69evX7BgAfPojBkzVqxYERoaOmnSpLYIEwCggxISjlB2eaKqqkpTU1P8EEJhdXW1lpZW6/bZ/Dy7pKSk58+fM+c+MWbMmHHjxo3S0lJpDlNaWvr69Wt6ifIWKSwsTE9Pb+mzAADaDYpQUt+aUlRUFBAQoKWlZWpqamdnd+7cOeahP/74w9jYuFOnTt7e3jk5Oa0IsPk8UVdXRwjJzMwUK8/IyKAois/nN7uHbdu22draBgQEdO3aNT4+vmGFrl27cv5n+PDhdCFFUQsWLOjWrdvQoUPd3d1zc3ObfzUAAB8kgUAwduzYnJyc8vLydevWTZo06d27d4SQV69erVy58s6dO4WFhQ4ODt98800rdt58nnBxcbGysvr0008TExOZwocPH86fP79v377GxsaSn56enr569ero6Ojnz5/PmjXr66+/brRaTEwMRVEURV25coUuuX79+unTp1+8eJGSkuLi4rJ27VppXxMAQPsh/F/XkzS3pnbC4/HmzJmjq6tLCJk8ebJQKExLSyOEHDx4cOTIkc7OzkpKSsuWLTtx4kRVVVVLI2w+TygrK//zzz/p6emurq62trZ9+vSxsrLq168fn8/fv39/s08/duyYj4+Po6MjIWTu3Lm3b99u9HRbPp9fXV0tWnL06NFJkyYZGRkRQubNm3f06FFKQqMLAKB9oiiO9DdpdhgZGamnp+fk5EQISU1Npe8QQhwcHAQCwdu3b1saoVTz7AYOHJicnHzgwIGEhITc3Fx3d/eePXtOnz5dR0en2eempaV17dqVvm9kZKSvr5+enm5hYSFWbeTIkXw+v0uXLr/99tuQIUPoJwYFBdGPdu3ataysrKioiE4bourq6nJzcx8/fkxvWllZmZqaSvOiAAAUAUWIsCX1s7KymF88QkinTp14PB6zmZqaOnv27F27dtGj2aWlpczwtZKSkqamZlPrMEnQfJ5IT09fvnz5unXrlixZ0tK9E0IqKir09PSYTU1NzfLycrE6ERERTk5OFEX9/vvv48aNe/XqlYmJSUVFBXPtPPoFl5WVNcwTqamply9fjouLozcDAgJa1wEHAB+IioqKtjycsrKyurq6hAoUkbahQDt+/PjNmzeZzfHjx3/77bf0/YyMDD8/vzVr1owbN44uMTExYc42EggEFRUVJiYmLYqfSJMniouLT5w4sXXr1pbumsbj8UpKSkT31vD/fbpZxOFwFixYsHXr1ujo6DFjxog+saioiBDSaEPBycnJwsJiw4YNrQsPAD402trabIfwXpYsWbJo0aKG5VlZWUOGDJk3b97cuXOZwu7du//777/0/djYWD09PUtLy5YesfnxCUdHRz09vWfPnrV017SePXtGR0fT9xMSEjgcjr29fVOV6+rqysvL6e4s0SdGR0c7Ojo2PCkYAKC9E7bk1pTi4uKhQ4c6Ozv36tXr2rVr165dKywsJITMmDHj3r17x44dS0tL+/777z///HNVVdWWRth8e0JDQ2Pnzp2LFi3S1NT09vZWUmrZpY3Gjx//zTffhISEDB8+fMWKFTNnzqQ7y1asWKGtrb169eqkpKSIiAgPDw+BQPDbb7+ZmZl5enoSQmbNmtWjR499+/Y5ODisWrVKdJYfAECHIf0AtQRFRUXW1tZVVVWbNm2iS3766SdjY2NTU9MzZ8788MMPP/zwg7+/f3BwcCt23nyeqK+v/+GHH/Ly8nx9fVVVVc3NzblcLv2QqalpVFSU5KdraGhcv3593bp1Fy9e9PX1XbVqFV3epUsXun2gp6f3+vXryMhIVVXV3r177969m77stq2t7fnz57ds2VJSUjJ37tx58+a14uUBACi4lo5jN8rOzu7q1auNPjRkyBD65KBWe6/rY+vr60tzDCcnp6NHj4oVfvnll/QdCwuLv/76q9Enenl5eXl5SXMIAACQk+bzhJKSUlO/4wAA8J7a8TqATREIBLjcKQCArAgpouDriks7KH3hwgVfX18TExMVFRVzc/NRo0bhYqgAAO+PasmNFVK1DPbs2fPFF19YWlqOHTvWxMQkJycnMjLSx8cnIiJi1KhR8g4RAKADoygiVOw1iZrPE3V1dcuXL580adKBAweYE28rKyvHjBmzZMkS5AkAgI5NqutPFBcXb9iwQXR2hpaW1rp16168eEEvXQsAAK1Dj2NLeWMlwubbE0KhkBCioqIiVk6X0I8CAEDrCBW+36n59oSTk5O2tnZISIjost719fWbNm2ytbVtxZJSAAAgov23J9TV1deuXbts2bK7d+8GBASYmJjk5uaGh4e/fv36yJEjbRAiAEAHJiSK3p6Q6nynpUuXGhsb//zzzxs3biSEKCkpubu7nzlzZuzYsXIODwAAWCbtjLlPP/30008/raioKCws5PF4WLoVAEAmOtp8bHrddiQJAABZ6Qjj2LRTp055enrq6Ojo6OgYGBj4+voy174AAID30RHmY+/atWvevHm2trYzZsygx7HPnj07bNiw8PDwwMBAeYcIANCBCSmOgq/v1HyeqK2t/fbbb6dNm7Zv3z5mBcBff/01MDBw2bJlyBMAAB2bVPOxS0tLg4ODRZeJVVdXX7NmTUpKCn1pPQAAaJ0Osg4gIYTDEW8WNSwBAICWksl1T+VKqvnYurq6a9euFV2ig8/nr1+/3s7OztjYWJ7hAQB0cPR1T6W8saL59oSamlpwcPDChQvv3bs3atQoHo+XnZ199uzZrKyskydPtkGIAAAdGEURSrHPi5Wq32nBggU8Hm/z5s07duwQCoXKysoeHh5hYWHDhw+Xd3wAAMAuaccnJk2aNGnSpOrq6pqaGk1NTTU1NbmGBQDwgRASIuxI87E1NDQ0NDTkFAoAwAeIIore7yTVfOzu3buvW7dOrHDu3LkjRoyQQ0gAAB+QjjCOnZWVlZSUNGHCBLHyiRMnjhgxQiAQiM6rAACAFukI58Xm5OQQQqysrMTKLS0t+Xx+QUGBXOICAADF0HyeMDAwIIS8evVKrPzFixdKSko6OjpyiQsA4MOg+POxm88TdnZ2Xbp0Wbp0aUVFBVP47t27VatWeXp60iuNAwBA61DUf5cWl+bGiuaHFjgczm+//RYYGNi1a9dRo0aZm5tnZmZGRETU1dXdunWrDUIEAOjAOsh1ikaNGnXz5s0ff/zx8OHDtbW12traw4YNW7dunYuLi7zjAwDo2BT/OkXSnqo0cODAK1euEEIqKyu1tLTkGRIAALRMSUnJvn37Hj9+nJeXFxERwUx0++mnn27fvk3f19PTa91iSy07pbWsrOzJkycDBgxQUVFpxcEAAECMTAao37179+zZMwcHh8OHDwsEAqY8Pj7excVl9OjRhJBW/263LE8kJib6+Pjk5+ebmJi07ngAACBKJvMn7Ozs9u3bl5WVtWbNGrGHunXr5ufn9z47l/b62AAAIA/yno+9a9cuLy+vL7744sWLF62LEFOpAQDYJNd1xYOCgvT09LS0tE6ePOnh4REfH99w0nSz0J4AAGhPFi9ezBGxaNEiCZUnTpzo7+8/aNCgX3/91dXV9fjx4604YsvaE/3796+oqPjAz3fy2N3KtpsMOLF2ZACQk5auF7tt2zbJuaEpxsbGotOlpdd8e0IgEPj4+Bw5cqS2tlZJSekDTxIAALJFEY5Q6puE/RQXF5eWlhJCSkpKSkpKCCECgeDWrVsURRFCrl27dunSpdYNaDefJ5SUlCorK6dOnWplZbVs2bKXL1+24jAAANAoenxCyltT+Hy+nZ2dl5eXgYFBjx496EnQ9fX1c+fO1dDQ0NXVnTVr1s6dOwcMGNCKCJvvd1JSUnr48OHz588PHDgQGhr6yy+/9O7de86cOdOnT8c1iwAAFIGKikpRUZFYoZqaWlJSUm1tbX19vaamZqt3Lu04dvfu3Tdu3JiRkREaGsrhcL788ktbW9sVK1akpKS0+tgAACDv9WLV1NTeJ0mQlp7vpK2tPXv27EuXLk2fPj0/P3/z5s2Ojo4ff/xxamrq+wQBAPDBElJESHGkvLESYQvyBEVRt2/fnjZtmpWV1cmTJ2fOnHnnzp0//vgjLi5uwIAB5eXl8osSAKADU/DrT0h1Xuy7d+/279+/e/fu5ORkBweH9evXf/bZZ/T1iwYNGjRu3DgzM7PY2NjBgwfLOVoAgI5GrvPsZKL5PFFfX29paVlfXx8YGPjbb78NHTqUw/n/2j4mJiadOnXi8/lyCxIAAFgjVXvi22+/nT17toWFRVMV0tLSZBYRAMCHhMWBByk1nye4XG7DBQgBAEAmWBx4kBLWAQQAYBNFZLCuuFwhTwAAsIlq7YLhbQbrxQIAgCRoTwAAsKkjnBcLAADy0xHOdwIAALmSvjnBSj5BngAAYFOL+p1YyRMYxwYAAEnQngAAYFOLxidY+dceeQIAgE2Yjw0AAJJQFOZjAwBA0yhChIrdoMA4NgAASIL2BAAAmyhCKHbOd5VWW+SJoqKi77///tGjR/S18GxsbMQqhIWFRUZGvn37tnPnzsuWLevTpw8hpKKi4vPPP2fqjBs37pNPPmmDaAEA2hLW7SCEkM8++0xbW3vv3r379+8PCAh49uyZ2BXxzp07N2XKFHt7+0uXLvn6+sbHx9va2tbV1Z04ceL48eN0HScnpzYIFQCgjVGEI/zA2xNv3ry5fPlyTk6OoaHh5s2bDx06dPPmTV9fX9E6Z8+epe/07t372LFjd+7csbW1pUsmTJgg7wgBAFik+O0JuY9jx8fH29nZGRoaEkKUlJT69u377NmzpiqXlpamp6d37dqVKQkKCpo4ceKff/4pEAjkHSoAADQk9/ZEfn6+vr4+s2lgYJCXl9doTYqiZs+ePWLECA8PD0KIqqpqcHBwr169ioqKQkJCHj16FBYW1vBZz58/j4iI+Oeff+jNyZMnf/vtt3J4HSLU5bt7AJCr8vLytjycsrKyhoaGhApYL5bo6upWVVUxm5WVlXp6eg2rURT11Vdf5eTkXLp0iS7R1tb+/vvv6fuurq7u7u47duzQ1NQUe6KDg8PkyZOXL19ObxoZGeno6Mj+ZYio4st19wAgX/L+iWgpxe93knuesLW1TUtL4/P5KioqhJBXr15NnDixYbUlS5bExsZeuXJFS0ur4aOWlpZCobC0tLRhnlBWVtbX1+/SpYs8ggcAkDeKcBT8vFi5j0/07dvX1NT04MGDhJBbt25lZGQEBAQQQp48ebJr1y66znfffXfz5s3IyEhdXV3miampqcXFxYQQgUAQEhLSrVs3c3NzeUcLANDG6PnYUt5YIfc8weFw9uzZ88MPPzg4OIwfP37Pnj10i+Hp06ehoaGEkLq6ug0bNjx9+tTIyIjD4XA4nE2bNhFC7t+/b21tbW1tbWxsHBUVxZwgCwAAbakt5k8MGjQoPT09Ozvb1NRUVVWVLpw5c+bMmTMJIaqqqlRjnXPTpk2bOHEiPQyura3dBnECALQ9mawDWFdXFx0d/ejRo/z8/B9//FFNTY156MSJExEREXp6egsXLnRwcGjFzttofScul9upUycmSUhJVVXVysoKSQIAOjBhS25NefHixYIFC+7fv79p06a6ujqm/MCBA4sXLx49erSRkdHAgQPfvXvXigixvhMAAKso8v7tCVdX17i4uKysrJMnT4qWb9myZfPmzfSiRw8fPty3b9+yZctaunPkCQAANslvgLqqqio+Pn7w4MH05uDBg6Ojo1uxH6wrDgDQMeXm5hJCjIyM6E1jY2O6pKXQngAAYFNL509s3br10KFDzOb48eObWoSCngdeW1urrq5OCKmpqWk4BU0ayBMtFj3bkb2DJ7N3aACQC6qF/U4TJ06cPHkys2llZdVUTR6Pp6qqmpGR4erqSgjJyMiQUFkC5AkAADa1dN0OKyur3r17S1OTy+V+9NFHBw4c+PnnnysrK0+dOrV9+/ZWRIg8AQDQ7gkEAkdHR3pdbTc3Ny0trYSEBELIunXrhg4dGhsbm5mZ2bNnz5EjR7Zi58gTAABsEsriOkVcLvfq1avMJnMtOEdHx1evXj169EhPT8/Nza11O0eeAABgk5DI4LxYDofT1HKoGhoaXl5e77Nz5AkAAFbJYt0OuUKeAABgk+QFORQB5tkBAIAkaE8AALAJ1z0FAIBmKPZlT5EnAABYxeKF6qSEPAEAwCaMYwMAQPuG9gQAAJtaug5g20OeAABgk+L3OyFPAACwSSbrdsgV8gQAAJsohW9PYBwbAAAkQXsCAIBNQkIJFXumHfIEAACbkCcAAEASxR+fQJ4AAGCTkBIKKYXOFBjHBgAASdCeAABgk5CQeoxPAABAU4QcSshBngAAgCZQRChU7JFs5AkAADbVE6pesfMExrEBAEAStCcAANgkRL8TAABIgPEJAACQREiEQlLPdhSSIE8AALBJ8dsTGMcGAABJ0J4AAGAT+p0AAEASIamXSZ64cuVKaWkpfd/Y2NjX1/f990lDngAAYBNFKJmMTyxfvtzQ0NDExIQQ4ujoiDwBANBByKo9QQhZs2aNj4+PTHYlCnkCAKCDuHfvXlZWVs+ePV1cXGS4W5zvBADAJooIKVIv5U3CfiwtLZ8/fx4ZGenl5bVkyRIZRoj2BAAAm1o6f+L48eNJSUnMpo+Pz+TJkwkhkZGRdElqaqqrq+u0adPc3d1lEiHyRHtyclAg2yEAgIy19LzYTp069e7dm9ns0qWLWAU7OztHR8ekpCTkCQCAD5Gnp+ecOXPECimK4nA49P2cnJyUlBQ7OztZHRF5AgCATc0OPEgjLi5u9uzZAwYMoCjq1KlTH3/8sYeHh0zCI8gTAADsoiiKot53/kT37t1DQkKSk5OVlJROnDgxYMAAmcRGQ54AAGATJYv5E6qqqsOHDx8+fLhMQhKDPAEAwCb6vFipq7MwmQHzJwAAQBK0JwAA2EQRIdWC+RMs/HOPPAEAwCaKElKU9P1OLPxoI08AALCphe0JFiBPAACwqmXtCRZgHBsAACRBewIAgE3odwIAAElksm6HXCFPAACwSSbrdshVW+QJPp8fHh6elZU1ePDgPn36NFonKirq/v37nTt3DgwM5HK5dGF5efnJkyfLyspGjRrVtWvXNggVAKDN1RPFbk+0xTh2QEDAb7/9VlhYGBAQcPDgwYYVdu7cOWHChKKioo0bN9IX3CCEVFZWenh4nDlzJjMzs1+/fnfv3m2DUAEAQIzc2xN37tx59uzZ69evNTQ0BgwYsHjx4qlTpyop/V9+qqurCw4OPnr0qI+Pz4oVK6ytrZ89e+bm5nb06FEdHZ0zZ85wOBwzM7Pg4OBLly7JO1oAgDZGEUXvd5J7e+Ly5ct+fn4aGhqEEH9//8zMzFevXolWiIuLq66u9vb2JoTo6ur6+PhcvnyZfmJAQAB95Y0xY8Zcu3ZNIBDIO1oAgDYnpKS+sRKf3NsT2dnZFhYW9H1VVVUjI6Ps7GxHR0emwtu3b83MzJgWhrm5eXZ2Nv3EESNG0IUWFhb19fV5eXmWlpZi+8/Ly4uNjQ0JCaE3e/bs6efnJ9dXBADtWm1tbVseTklJSUVFRVINiiKK3Z6Qe57gcDgURTGbohfnk1xBtJy+I/ZERm1tbUlJCX0fbQ4AaF8oql7B52PLPU+Ym5tnZGTQ9/l8flFRkbm5uViF/Px8oVBINylyc3PpKzGZm5vn5eXRdXJzc7lcLo/Ha7h/U1NTX1/fDRs2yPdlAEBHoaamxnYI7YzcxyeGDx9+7dq1mpoaQsiVK1csLS3pM1xzc3Pz8/MJIT179lRVVaVPZ6qoqLh165a/vz/9xPPnz9MtifPnzw8ZMkRZGbM9AKDjEbbkxgK5//J6e3s7Ozv7+/t7eXnt2bNn06ZNdLth2bJlenp6O3fuVFVVXbVq1dSpUz/77LNr164NHTq0R48ehJApU6Zs27Zt/Pjx9vb2u3fvjoiIkHeoAABtD/PsCCEkMjLy1KlTWVlZZ8+e7devH124aNEiZmxnwYIFvXr1un///tKlSz/++GO6UEtLKyYm5sSJE2VlZdHR0aJD3wAAHQhrDQUptUWeUFFR+eSTT8QKxSZmDxo0aNCgQWJ1dHR0Pv/8c/kGBwDALoU/3wnrigMAgCQYGQYAYBPWiwUAAIkooYL3OyFPAACwS9HHJ5AnAADYpejnO2EcGwAAJEF7AgCAVQp/XizyBAAAmyhKiPnYAAAggczGJ6qqqh4+fGhgYODm5iaTHdKQJwAAWEVRROTaCq32/PlzPz+/7t27p6Wl9enT5+jRo01di6GlMI4NANARrF69ml5N9cmTJzExMVevXpXVnpEnAABYRY9jS3lrQl1dXURExIwZMwghOjo6H3/88alTp2QVIPIEAAC7pE4STeeJ2np9BQAAE5pJREFUnJwcgUBgY2NDb9rY2GRmZsoqvnY/PlFcXPzs2bPQ0NA2O6Jpmx0JAOSgLX8uCCFcLnfatGkSLqJHEYpqyTj2/fv3NTU1mc0ePXr079+fvhYcc7EGNTW16urq1oYsrt3nCQcHh+fPnz9+/LjtDtnaayaWlZUVFBTY2dnJNBqWPXnypFevXmxHIUtv3rwxMDDQ19dnOxCZqaioyMnJoa8j2WE8ffq0R48erRynfZwl63Ak4XK548ePl5AnYs8dkX5vV65cOXXqlOgvno6OTv/+/c3MzAghRUVF9PWhCwsLxa4w/T44lCzG2QEAgF3du3f/8ccfJ0yYQAgZNmxYQEDA119/LZM9t/v2BAAAEEKWLVu2bNkyoVAYHx8fHx9//PhxWe0ZeQIAoCP4/PPPtbW1z507Z2hoeO/ePQMDA1ntGf1OAAAgCc6LBQAASdDvJDMURe3Zs+fatWvGxsZLly7t3LlzwzpRUVGhoaH19fXTpk3z9/enC2tra7dv3/7o0aPOnTt/8803RkZGbRu4JC9fvty2bVtJScnIkSPpKTyiysrKjh8/HhUVxefzPTw8vvjiC/qkjqioqIiICKbakiVL6HMwFEFxcfHmzZtTU1N79eq1ePFidXV1sQq7d+9OTU2l75uYmCxdupS+n56evmXLlvz8/CFDhsyePVtJSYH+x4qIiDh27Ji6uvq8efN69+4t9ujZs2fv37/PbCorKwcHBxNCwsLCUlJS6EJjY+Nly5a1WcCSZWVl3blzJzEx0c3NbeLEiY3WSUhI2LFjR3l5+UcffTRp0iS6UCgUhoaG3rhxw9TUdNmyZdbW1m0YdUemQN/19m7r1q1btmz55JNPtLW1vby8KisrxSokJiaOGDGif//+w4cPnzx58s2bN+nyBQsWXLhwYfr06Tk5OaNHj27ruJtWXFw8aNAgHo83YcKEH3/88c8//xSrcOPGjfPnzw8YMGDUqFFhYWEzZ86kyx8/fnz58mWD/1Gon9TAwMC0tLQZM2Zcv3597ty5DSscPXr07du3dOR6enp0YU1Njbe3t6qq6pQpU37//fdNmza1bdSSXLhwYdasWQEBAW5ubkOGDGGSHENTU5P5LO7fv3/79m26/NixY5mZmWKvVBHs3LnzwIEDly9fvnDhQqMV8vLyvL29bW1tx48fv2zZskOHDtHl69ev37lz55QpU7hc7uDBg2tra9sw6g6NAlkQCARWVlZXrlyhNz08PMLCwsTqfPnll1999RV9f8OGDWPHjqUoKj8/X01NLS0tjaIoPp9vYmJy+/btNgxckl9//XXIkCH0/dOnT9vb2wuFQtEKopuPHz9WUVGpq6ujKGrHjh1Tp05ty1ClFBMTo6+vX1tbS1FUdna2mppadna2WB1fX9+TJ0+KFR44cKBXr170/Vu3bpmZmdGvVBH4+vpu376dvj9z5sylS5dKqOzk5LRv3z76vp+f37Fjx+QdXqt99913M2bMaPShkJCQMWPG0PcPHTrUs2dPiqJqa2t5PB7z59OjR49Dhw61TagdngL9o9euZWdnZ2VleXl50ZteXl4xMTFidR48eODt7S1WIS4uztTUlJ5tr6ys7Onp+eDBgzYMXJKHDx8yAXt7e6ekpBQVFYlWEJ3l9PbtW2NjY2Y6aHx8/Lx584KDg9+8edNmATcrJiamf//+qqqqhBBzc3NbW9snT540rHbkyJEFCxb8+eefzIzWBw8eMB/uwIEDCwoK0tPT2yxsycS+VxK+P1FRUZmZmUFBQUzJ0aNHFyxYsGvXLhnO3W0Doi/Z29s7Li6utrY2LS3t3bt3AwYMoMslvxXQIsgTspGbm6ulpcV0dhsbG+fk5DSsY2hoyFQoKCgQCAR5eXmiAxKNPpEtogEbGBhwudzc3NxGa5aUlCxevHjdunX0prW1dWBgoJubW3p6upubW2xsbBtF3Byxd9vIyKjhu+3t7T1w4EAHB4dDhw4NGDCA7rsQfSu4XK6BgUFTb0UbKy8vr6ysFP1eSfj+7NmzZ/Lkydra2vSml5eXl5eXg4PDkSNHPD096YUf2gWxPyWKonJzc3Nzc/X19blcLlOuOH9K7R3GsWVDU1OT7s2g/8Wuqalh/hrF6tD3a2pq1NTUlJWVNTQ0RHtRG30iW0Rj4/P59fX1WlpaDauVl5ePGjVq1KhRX3zxBV0SGBgYGBhI31dRUfn555+PHj3aNjFL1vDdbviK1q5dS9+ZM2eOo6NjRETEhAkTNDQ06urqmDrV1dWNvhVtT11dXUlJSfR71dT3p6Ki4sSJE1euXGFKfvjhB/rOnDlzunXrdvbsWWZAWMGJ/SkRQrS0tEQLiYL9KbV3aE/IhqWlZX19fXZ2Nr2Znp5uaWkpVqdTp05MZ0VaWlqnTp0IIVZWVm/fvhUIBBKeyBaxgJWVlek1ZERVVlaOGTPGxcVl+/btje7E2dlZcf6tE31FQqEwMzPTysqqqcpqamr29vZ08KJPLCwsrKqqUpCPSUVFxdTUlIktPT29qVd07NgxS0tLDw+Phg+pqal17dpVcT6mZol9MzU0NIyMjKysrCorK9+9e0eXK9SfUnuHPCEb+vr6fn5+f//9NyHk3bt358+fp1dZKSws3L9/P10nKCjo0KFDdEo4cOAA3U3cp08fQ0PDM2fOEEKSk5NjY2OZ/8RZFxQUdObMmdLSUkLI/v37AwIC6I61K1euxMfHE0Kqq6vHjh1ra2v7559/io5VMPmysrLy6NGjffv2ZSP8RowePfr58+d08BcuXFBTU6N/N588efLvv/8SQmpra5kxmISEhOjoaDr4oKCgixcv5uXlEUL279/v7e2tOGf6Tpgwgf6O1dXVHTlyhP5e8fn8/fv3058dbe/evUyDjxBSW1vL/KQmJibev39fcT6mRlVXV+/fv58+jTAoKOjkyZMVFRWEkP37948fP57D4ZiZmQ0cOJB+K/Ly8i5dukT/DYIMsD2Q3nHExsaam5v7+PhYWVn95z//oQujo6MJIfX19RRFVVZWent7Ozs79+nTx83NraCggK5z7tw5IyOjYcO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"execute_result" - } - ], + "outputs": [], "source": [ "visualize(u)" ] @@ -989,21 +392,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "ec0622d6", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "generate_system_sparse (generic function with 1 method)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using SparseArrays\n", "function generate_system_sparse(u)\n", @@ -1045,30 +437,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "a5cc7201", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9×9 SparseMatrixCSC{Float64, Int64} with 33 stored entries:\n", - " 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ ⋅ ⋅ ⋅ \n", - " -1.0 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ ⋅ ⋅ \n", - " ⋅ -1.0 4.0 ⋅ ⋅ -1.0 ⋅ ⋅ ⋅ \n", - " -1.0 ⋅ ⋅ 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ \n", - " ⋅ -1.0 ⋅ -1.0 4.0 -1.0 ⋅ -1.0 ⋅ \n", - " ⋅ ⋅ -1.0 ⋅ -1.0 4.0 ⋅ ⋅ -1.0\n", - " ⋅ ⋅ ⋅ -1.0 ⋅ ⋅ 4.0 -1.0 ⋅ \n", - " ⋅ ⋅ ⋅ ⋅ -1.0 ⋅ -1.0 4.0 -1.0\n", - " ⋅ ⋅ ⋅ ⋅ ⋅ -1.0 ⋅ -1.0 4.0" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "N = 5\n", "u = zeros(N,N)\n", @@ -1145,18 +517,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "0244f525", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It's not correct. Keep trying! 💪\n" - ] - } - ], + "outputs": [], "source": [ "answer=\"x\" # Replace x with a,b,c or d\n", "pdes_check_1(answer)" @@ -1182,21 +546,10 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "2f70617a", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "jacobi! (generic function with 2 methods)" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using LinearAlgebra\n", "function jacobi!(u,f=zeros(size(u));reltol=0.0,maxiters=0)\n", @@ -1231,556 +584,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "7a8ff556", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Jacobi converged in 136 iterations\n" - ] - }, - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "N = 10\n", "u = zeros(N,N)\n", @@ -1801,7 +608,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "67e79b9c", "metadata": {}, "outputs": [], @@ -1811,131 +618,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "86c8fbb7", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "Ns = [20,40,80,160]\n", "reltol = 1.0e-6\n", @@ -2032,870 +718,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "9f8dbf39", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Converged after 158 iterations." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "using IterativeSolvers: cg!\n", "N = 80\n", @@ -2911,193 +737,10 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "30c6e04e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "N = 100\n", "u = zeros(N,N)\n", @@ -5324,21 +978,10 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "id": "ee7679f4", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "prolongate! (generic function with 1 method)" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function prolongate!(u_fine,u_coarse)\n", " ni_coarse, nj_coarse = size(u_coarse)\n", @@ -5362,31 +1005,10 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "id": "260bbcb0", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to C:\\Users\\gelie\\Home\\TeachingInnovationProject\\XM_40017\\notebooks\\a2.gif\n" - ] - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "Plots.AnimatedGif(\"C:\\\\Users\\\\gelie\\\\Home\\\\TeachingInnovationProject\\\\XM_40017\\\\notebooks\\\\a2.gif\")" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "iters_in_level = [2,2,2,2,2,2,2,2]\n", "u_coarse = zeros(2,2)\n", @@ -5414,285 +1036,10 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "id": "8a5e1031", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" ] }, { @@ -5758,26 +1106,16 @@ "id": "b5eadafc", "metadata": {}, "source": [ - "### Conjugate gradient method" + "### Implementation of conjugate gradient method\n", + "First, let's analyze how to parallelize the individual parts of the serial implementation of the CG method." ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "b37f6be4", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "conjugate_gradient! (generic function with 1 method)" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function conjugate_gradient!(x,A,b;M,reltol,maxiters=size(A,1))\n", " c = similar(x)\n", @@ -5809,11 +1147,13 @@ "id": "e0bb3512", "metadata": {}, "source": [ - "The phases that are not trivially parallel are\n", + "The algorithm performs matrix multiplications and additions which are trivially parallelizable. The phases that are not trivially parallelizable are\n", "\n", - "- Dot products\n", - "- Sparse matrix-vector products\n", - "- Preconditioners" + " - Dot products\n", + " - Sparse matrix-vector products\n", + " - Preconditioners\n", + " \n", + "If we find parallel implementations for these parts, we get a complete parallel implementation for the CG method. " ] }, { @@ -5823,8 +1163,10 @@ "source": [ "### Dot product\n", "\n", + "The dot product is defined as \n", + "$$\\text{dot}(a,b)= \\sum_i a_i b_i$$. \n", "\n", - "$\\text{dot}(a,b)= \\sum_i a_i b_i$\n" + "Imagine we have our data distributed on two CPUs as in the picture below. How can we implement the dot product computation in parallel? " ] }, { @@ -5838,32 +1180,58 @@ "metadata": {}, "source": [ "
\n", - "\n", + "\n", "
" ] }, { "cell_type": "markdown", - "id": "a8aa2ebd", + "id": "93ec2564", "metadata": {}, "source": [ "### MPI implementation\n", - " TODO maybe question which MPI directive is used? (erase MPI.Allreduce from picture and put it into answer for the question" + "For the parallel implementation, the processes can compute the dot product of their respective sub-vectors independently. But they have to send the result to the other processes so they can be combined for the final dot product. Each process needs the _global_ dot product, because further computations in the algorithm depend on it. For instance, the stopping criterion depends on the result of the global dot product, such that all processes stop at the same time. " ] }, { "attachments": { - "g2419.png": { - "image/png": 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" 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" } }, "cell_type": "markdown", - "id": "f0260d7b", + "id": "a8aa2ebd", "metadata": {}, "source": [ "
\n", - "\n", - "
\n" + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "42776d84", + "metadata": {}, + "source": [ + "
\n", + "Question: Which MPI directive best incorporates the communication of the local dot product among processes?\n", + "
\n", + "\n", + " a) MPI_Gather\n", + " b) MPI_Reduce\n", + " c) MPI_Allreduce\n", + " d) MPI_Bcast" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e0907af2", + "metadata": {}, + "outputs": [], + "source": [ + "answer=\"x\" # Replace x with a, b, c, or d\n", + "pdes_check_2(answer)" ] }, { @@ -5871,7 +1239,8 @@ "id": "759aefd1", "metadata": {}, "source": [ - "### Sparse matrix-vector product\n" + "### Sparse matrix-vector product\n", + "Next we will discuss how to parallelize the product of a sparse matrix $A$ with a vector $x$. " ] }, { @@ -5899,8 +1268,21 @@ "Question: Which parts of $A$ and $x$ are needed to compute the local values of $b$ in a worker? \n", "\n", "\n", - "\n", - "- Answer: Only the entries of x associated with the non-zero columns of A stored in the worker." + " a) The local entries of A and all entries of x.\n", + " b) The local entries of A and the local entries of x. \n", + " c) All entries of A and the entries of x associated with local non-zero columns of A. \n", + " d) The local entries of A and the entries of x associated with the local non-zero columns of A. \n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53672399", + "metadata": {}, + "outputs": [], + "source": [ + "answer=\"x\" # Replace x with a, b, c, or d\n", + "pdes_check_3(answer)" ] }, { @@ -5908,7 +1290,8 @@ "id": "4afca5ab", "metadata": {}, "source": [ - "### Ghost (halo) columns" + "### Ghost (halo) columns\n", + "In our example, each CPU needs all local entries of $x$ plus two additional entries from another machine. If all entries in $A$ were non-zero, the whole vector $x$ would be required. Thus, the sparsity of $A$ allows to reduce the amount of communication. This pays off especially in larger problems. " ] }, { @@ -5933,7 +1316,11 @@ "source": [ "### Latency hiding\n", "\n", - "A = A_own + A_ghost\n" + "We can also use latency hiding for this problem. The computations are split into two parts: \n", + "1. Multiplication with only local values of $x$ \n", + "2. Multiplication with the remaining communicated values of $x$\n", + "\n", + "The first part of the computations has no data dependencies, so it can be started immediately. During its computation, the communication of the values of $x$ can be started. " ] }, { @@ -5962,14 +1349,12 @@ }, { "cell_type": "markdown", - "id": "5e2926d0", + "id": "149111fa", "metadata": {}, "source": [ "
\n", "Question: Which mesh partition does lead to less communication in the sparse matrix-vector product?\n", - "
\n", - "\n", - "- Answer: 2d block (as for Jacobi method)" + "" ] }, { @@ -5979,7 +1364,7 @@ } }, "cell_type": "markdown", - "id": "a6433395", + "id": "b2883efb", "metadata": {}, "source": [ "
\n", @@ -5987,6 +1372,27 @@ "
" ] }, + { + "cell_type": "markdown", + "id": "5e2926d0", + "metadata": {}, + "source": [ + " a) The 2D block partitioning\n", + " b) The 2D cyclic partitioning\n", + " c) Both are equally good" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7f67a66a", + "metadata": {}, + "outputs": [], + "source": [ + "answer=\"x\" # Replace x with a, b, or c \n", + "pdes_check_4(answer)" + ] + }, { "cell_type": "markdown", "id": "a91edb5d", @@ -5994,7 +1400,9 @@ "source": [ "Remember: The equation associated with point (i,j) is:\n", "\n", - "$u_{i-1,j} + u_{i+1,j} + u_{i,j-1} + u_{i,j+1} - 4u_{i,j} = 0$" + "$u_{i-1,j} + u_{i+1,j} + u_{i,j-1} + u_{i,j+1} - 4u_{i,j} = 0$\n", + "\n", + "Each equation for a point corresponds with a row in the matrix $A$. Each row will have only 5 non-zero values, and it reduces communication if they are on the same CPU. Therefore, the 2D block partitioning is more suitable, since only the boundary values need to be communicated." ] }, { @@ -6020,10 +1428,7 @@ "source": [ "## How to partition unstructured meshes?\n", "\n", - "- FEM methods work on unstructured meshes\n", - "- One equation per node\n", - "- Non-zero columns are associated with nodes connected by mesh edges\n", - "\n" + "Finite element methods also work on unstructured meshes. The grid of points can be modeled as a graph. Again, there will be one equation per node in the graph. The partition can be computed as the result of a k-way graph partitioning problem.\n" ] }, { @@ -6049,10 +1454,10 @@ "### k-way graph partitioning problem\n", "\n", "\n", - "Given a graph $G$ (i.e. the mesh)\n", + "Given a graph $G$ (i.e. the mesh),\n", "\n", - "- Partition the vertices of $G$ into k disjoint parts of equal size (load balance)\n", - "- Minimize the number of edges with end vertices belonging to different parts (reduce communication)\n", + "- Partition the vertices of $G$ into $k$ disjoint parts of equal size (to achieve load balance)\n", + "- Minimize the number of edges with end vertices belonging to different parts (to reduce communication)\n", "\n", "\n", "\n" @@ -6070,8 +1475,7 @@ "source": [ "### Example\n", "\n", - "- Partition of a mesh into 8 parts\n", - "- Computed with [METIS](https://github.com/KarypisLab/METIS)\n", + "The picture shows a partition of a mesh into 8 parts (computed with [METIS](https://github.com/KarypisLab/METIS)).\n", "\n", "
\n", "\n",