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27 lines
735 B
Julia
27 lines
735 B
Julia
module RandomPoly
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export random_system
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using TypedPolynomials
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using Random
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using Distributions
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# Random polynomial of degree n in m variables
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function random_poly(n, m)
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x = [TypedPolynomials.Variable{Symbol("x[$i]")}() for i in 1:m]
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monomial_powers=collect(Iterators.product([0:n for _ in 1:m]...))
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monomials = [prod(x.^i) for i in monomial_powers if sum(i) == n]
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return sum(map(m -> rand(Normal()) * m, monomials))
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end
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# Generate a system of m random polynomials in m variables
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# of degree d_i randomly chosen between 1 and max_degree
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function random_system(m, max_degree)
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d = rand(1:max_degree, m)
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random_polys = [random_poly(d[i], m) for i in 1:m]
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return random_polys
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end
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end
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