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Added is_matrix() and error handling for linear_solve() and qr()

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Adrian Mariano 2020-03-06 18:33:53 -05:00
parent d26a1ab3d4
commit 4722cc0d01
1 changed files with 16 additions and 0 deletions
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math.scad
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@ -538,6 +538,8 @@ function mean(v) = sum(v)/len(v);
// the least squares solution is returned. If A is underdetermined, the minimal norm solution is returned.
// If A is rank deficient or singular then linear_solve returns `undef`.
function linear_solve(A,b) =
assert(is_matrix(A))
assert(is_vector(b))
let(
dim = array_dim(A),
m=dim[0], n=dim[1]
@ -569,6 +571,7 @@ function submatrix(M,ind1,ind2) = [for(i=ind1) [for(j=ind2) M[i][j] ] ];
// Calculates the QR factorization of the input matrix A and returns it as the list [Q,R]. This factorization can be
// used to solve linear systems of equations.
function qr_factor(A) =
assert(is_matrix(A))
let(
dim = array_dim(A),
m = dim[0],
@ -673,6 +676,19 @@ function determinant(M) =
);
// Function: is_matrix()
// Usage:
// is_matrix(A,[m],[n])
// Description:
// Returns true if A is a numeric matrix of height m and width n. If m or n
// are omitted or set to undef then true is returned for any positive dimension.
function is_matrix(A,m,n) =
is_list(A) && len(A)>0 &&
(is_undef(m) || len(A)==m) &&
is_vector(A[0]) &&
(is_undef(n) || len(A[0])==n) &&
is_consistent(A);
// Section: Comparisons and Logic