switching to high quality piper tts and added label translations

2026-01-29 23:48:19 +01:00
commit d80c619df9
3934 changed files with 1451600 additions and 0 deletions
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+from sympy.core.assumptions import check_assumptions
+from sympy.core.logic import fuzzy_and
+from sympy.core.sympify import _sympify
+from sympy.matrices.kind import MatrixKind
+from sympy.sets.sets import Set, SetKind
+from sympy.core.kind import NumberKind
+from .matexpr import MatrixExpr
+
+
+class MatrixSet(Set):
+    """
+    MatrixSet represents the set of matrices with ``shape = (n, m)`` over the
+    given set.
+
+    Examples
+    ========
+
+    >>> from sympy.matrices import MatrixSet
+    >>> from sympy import S, I, Matrix
+    >>> M = MatrixSet(2, 2, set=S.Reals)
+    >>> X = Matrix([[1, 2], [3, 4]])
+    >>> X in M
+    True
+    >>> X = Matrix([[1, 2], [I, 4]])
+    >>> X in M
+    False
+
+    """
+    is_empty = False
+
+    def __new__(cls, n, m, set):
+        n, m, set = _sympify(n), _sympify(m), _sympify(set)
+        cls._check_dim(n)
+        cls._check_dim(m)
+        if not isinstance(set, Set):
+            raise TypeError("{} should be an instance of Set.".format(set))
+        return Set.__new__(cls, n, m, set)
+
+    @property
+    def shape(self):
+        return self.args[:2]
+
+    @property
+    def set(self):
+        return self.args[2]
+
+    def _contains(self, other):
+        if not isinstance(other, MatrixExpr):
+            raise TypeError("{} should be an instance of MatrixExpr.".format(other))
+        if other.shape != self.shape:
+            are_symbolic = any(_sympify(x).is_Symbol for x in other.shape + self.shape)
+            if are_symbolic:
+                return None
+            return False
+        return fuzzy_and(self.set.contains(x) for x in other)
+
+    @classmethod
+    def _check_dim(cls, dim):
+        """Helper function to check invalid matrix dimensions"""
+        ok = not dim.is_Float and check_assumptions(
+            dim, integer=True, nonnegative=True)
+        if ok is False:
+            raise ValueError(
+                "The dimension specification {} should be "
+                "a nonnegative integer.".format(dim))
+
+    def _kind(self):
+        return SetKind(MatrixKind(NumberKind))