61 lines
1.0 KiB
Python
61 lines
1.0 KiB
Python
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import sympy
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import sys
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assert sys.version_info >= (3, 5)
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def dot(left, right):
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assert(isinstance(left, sympy.Matrix))
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assert(isinstance(right, sympy.Matrix))
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sum = 0
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for c in range(0, left.cols):
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for r in range(0, left.rows):
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sum += left[r, c] * right[r, c]
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return sum
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def squared_norm(m):
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assert(isinstance(m, sympy.Matrix))
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return dot(m, m)
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def Vector2(x, y):
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return sympy.Matrix([x, y])
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def ZeroVector2():
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return Vector2(0, 0)
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def Vector3(x, y, z):
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return sympy.Matrix([x, y, z])
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def ZeroVector3():
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return Vector3(0, 0, 0)
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def Vector6(a, b, c, d, e, f):
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return sympy.Matrix([a, b, c, d, e, f])
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def ZeroVector6():
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return Vector6(0, 0, 0, 0, 0, 0)
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def proj(v):
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m, n = v.shape
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assert m > 1
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assert n == 1
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l = [v[i] / v[m - 1] for i in range(0, m - 1)]
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r = sympy.Matrix(m - 1, 1, l)
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return r
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def unproj(v):
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m, n = v.shape
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assert m >= 1
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assert n == 1
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return v.col_join(sympy.Matrix.ones(1, 1))
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