mir-algorithm 3.3.8

Mir Algorithm

Dlang core library for math, finance and a home for Dlang multidimensional array package - ndslice.

Links

• API Documentation
• Scheme of basic API (advanced)
• Lubeck - Linear Algebra Library for Mir Algorithm
• numir - mir extension with numpy-like API

Blogs

• Mir Blog
• Shigeki Karita - D言語で数値計算 mir-algorithm
• Shigeki Karita - D言語(mir)でNumPyを拡張する (mir-pybuffer integration)

Example (3 sec)

/+dub.sdl:
dependency "mir-algorithm" version="~>2.0.0"
+/

void main()
{
    import mir.ndslice;

    auto matrix = slice!double(3, 4);
    matrix[] = 0;
    matrix.diagonal[] = 1;

    auto row = matrix[2];
    row[3] = 6;
    assert(matrix[2, 3] == 6); // D & C index order
    
    import std.stdio;
    matrix.writeln; // [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 6]]
}

Example (30 sec)

/+dub.sdl:
dependency "mir-algorithm" version="~>2.0.0"
+/
void main()
{
    import mir.ndslice;
    import std.stdio : writefln;

    enum fmt = "%(%(%.2f %)\n%)\n";

    // Magic sqaure. 
    // `a` is lazy, each element is computed on-demand.
    auto a = magic(5).as!float;
    writefln(fmt, a);

    // 5x5 grid on sqaure [1, 2] x [0, 1] with values x * x + y. 
    // `b` is lazy, each element is computed on-demand.
    auto b = linspace!float([5, 5], [1f, 2f], [0f, 1f]).map!"a * a + b";
    writefln(fmt, b);

    // allocate a 5 x 5 contiguous matrix
    auto c = slice!float(5, 5);

    c[] = transposed(a + b / 2); // no memory allocations here
    // 1. b / 2 - lazy element-wise operation with scalars
    // 2. a + (...) - lazy element-wise operation with other slices
    // Both slices must be `contiguous` or one-dimensional.
    // 3. transposed(...) - trasposes matrix view. The result is `universal` (numpy-like) matrix.
    // 5. c[] = (...) -- performs element-wise assignment.
    writefln(fmt, c);
}

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