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34
Task/Matrix-multiplication/D/matrix-multiplication-1.d
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34
Task/Matrix-multiplication/D/matrix-multiplication-1.d
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import std.stdio, std.string, std.conv, std.numeric,
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std.array, std.algorithm;
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bool isRectangular(T)(in T[][] M) pure nothrow {
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return M.all!(row => row.length == M[0].length);
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}
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T[][] matrixMul(T)(in T[][] A, in T[][] B) pure nothrow
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in {
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assert(A.isRectangular && B.isRectangular &&
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!A.empty && !B.empty && A[0].length == B.length);
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} body {
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auto result = new T[][](A.length, B[0].length);
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auto aux = new T[B.length];
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foreach (immutable j; 0 .. B[0].length) {
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foreach (immutable k, const row; B)
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aux[k] = row[j];
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foreach (immutable i, const ai; A)
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result[i][j] = dotProduct(ai, aux);
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}
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return result;
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}
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void main() {
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immutable a = [[1, 2], [3, 4], [3, 6]];
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immutable b = [[-3, -8, 3,], [-2, 1, 4]];
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immutable form = "[%([%(%d, %)],\n %)]]";
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writefln("A = \n" ~ form ~ "\n", a);
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writefln("B = \n" ~ form ~ "\n", b);
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writefln("A * B = \n" ~ form, matrixMul(a, b));
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}
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16
Task/Matrix-multiplication/D/matrix-multiplication-2.d
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Task/Matrix-multiplication/D/matrix-multiplication-2.d
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import std.stdio, std.range, std.array, std.numeric, std.algorithm;
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T[][] matMul(T)(in T[][] A, in T[][] B) pure nothrow /*@safe*/ {
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const Bt = B[0].length.iota.map!(i=> B.transversal(i).array).array;
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return A.map!(a => Bt.map!(b => a.dotProduct(b)).array).array;
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}
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void main() {
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immutable a = [[1, 2], [3, 4], [3, 6]];
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immutable b = [[-3, -8, 3,], [-2, 1, 4]];
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immutable form = "[%([%(%d, %)],\n %)]]";
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writefln("A = \n" ~ form ~ "\n", a);
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writefln("B = \n" ~ form ~ "\n", b);
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writefln("A * B = \n" ~ form, matMul(a, b));
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}
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17
Task/Matrix-multiplication/D/matrix-multiplication-3.d
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Task/Matrix-multiplication/D/matrix-multiplication-3.d
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import std.stdio, std.range, std.numeric, std.algorithm;
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T[][] matMul(T)(immutable T[][] A, immutable T[][] B) pure nothrow {
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immutable Bt = B[0].length.iota.map!(i=> B.transversal(i).array)
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.array;
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return A.map!((in a) => Bt.map!(b => a.dotProduct(b)).array).array;
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}
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void main() {
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immutable a = [[1, 2], [3, 4], [3, 6]];
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immutable b = [[-3, -8, 3,], [-2, 1, 4]];
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immutable form = "[%([%(%d, %)],\n %)]]";
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writefln("A = \n" ~ form ~ "\n", a);
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writefln("B = \n" ~ form ~ "\n", b);
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writefln("A * B = \n" ~ form, matMul(a, b));
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}
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33
Task/Matrix-multiplication/D/matrix-multiplication-4.d
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Task/Matrix-multiplication/D/matrix-multiplication-4.d
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import std.stdio, std.string, std.numeric, std.algorithm, std.traits;
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alias TMMul_helper(M1, M2) = Unqual!(ForeachType!(ForeachType!M1))
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[M2.init[0].length][M1.length];
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void matrixMul(T, T2, size_t k, size_t m, size_t n)
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(in ref T[m][k] A, in ref T[n][m] B,
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/*out*/ ref T2[n][k] result) pure nothrow /*@safe*/ @nogc
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if (is(T2 == Unqual!T)) {
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static if (hasIndirections!T)
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T2[m] aux;
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else
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T2[m] aux = void;
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foreach (immutable j; 0 .. n) {
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foreach (immutable i, const ref bi; B)
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aux[i] = bi[j];
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foreach (immutable i, const ref ai; A)
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result[i][j] = dotProduct(ai, aux);
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}
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}
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void main() {
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immutable int[2][3] a = [[1, 2], [3, 4], [3, 6]];
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immutable int[3][2] b = [[-3, -8, 3,], [-2, 1, 4]];
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enum form = "[%([%(%d, %)],\n %)]]";
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writefln("A = \n" ~ form ~ "\n", a);
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writefln("B = \n" ~ form ~ "\n", b);
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TMMul_helper!(typeof(a), typeof(b)) result = void;
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matrixMul(a, b, result);
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writefln("A * B = \n" ~ form, result);
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}
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