def test_dcp_curvature(self):
assert_equals(
m.dcp_curvature(m.INCREASING, Curvature.AFFINE, Sign.POSITIVE,
Curvature.CONVEX), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.NONMONOTONIC, Curvature.AFFINE, Sign.POSITIVE,
Curvature.AFFINE), Curvature.AFFINE)
assert_equals(
m.dcp_curvature(m.DECREASING, Curvature.UNKNOWN, Sign.POSITIVE,
Curvature.CONSTANT), Curvature.CONSTANT)
assert_equals(
m.dcp_curvature(m.INCREASING, Curvature.CONVEX, Sign.POSITIVE,
Curvature.CONVEX), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.DECREASING, Curvature.CONVEX, Sign.POSITIVE,
Curvature.CONCAVE), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.INCREASING, Curvature.CONCAVE, Sign.POSITIVE,
Curvature.CONCAVE), Curvature.CONCAVE)
assert_equals(
m.dcp_curvature(m.DECREASING, Curvature.CONCAVE, Sign.POSITIVE,
Curvature.CONVEX), Curvature.CONCAVE)
assert_equals(
m.dcp_curvature(m.INCREASING, Curvature.CONCAVE, Sign.POSITIVE,
Curvature.CONVEX), Curvature.UNKNOWN)
assert_equals(
m.dcp_curvature(m.NONMONOTONIC, Curvature.CONCAVE, Sign.POSITIVE,
Curvature.AFFINE), Curvature.CONCAVE)
assert_equals(
m.dcp_curvature(m.NONMONOTONIC, Curvature.CONSTANT, Sign.POSITIVE,
Curvature.UNKNOWN), Curvature.UNKNOWN)
def test_signed_curvature(self):
# Convex argument.
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.POSITIVE,
Curvature.CONVEX), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.NEGATIVE,
Curvature.CONVEX), Curvature.UNKNOWN)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.UNKNOWN,
Curvature.CONVEX), Curvature.UNKNOWN)
# Concave argument.
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.POSITIVE,
Curvature.CONCAVE), Curvature.UNKNOWN)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.NEGATIVE,
Curvature.CONCAVE), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.UNKNOWN,
Curvature.CONCAVE), Curvature.UNKNOWN)
# Affine argument.
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.POSITIVE,
Curvature.AFFINE), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.NEGATIVE,
Curvature.AFFINE), Curvature.CONVEX)
assert_equals(
m.dcp_curvature(m.SIGNED, Curvature.CONVEX, Sign.UNKNOWN,
Curvature.AFFINE), Curvature.CONVEX)
def test_dcp_curvature(self):
assert_equals(m.dcp_curvature(m.INCREASING,
Curvature.AFFINE,
Sign.POSITIVE,
Curvature.CONVEX),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.NONMONOTONIC, Curvature.AFFINE,
Sign.POSITIVE,
Curvature.AFFINE),
Curvature.AFFINE)
assert_equals(m.dcp_curvature(m.DECREASING, Curvature.UNKNOWN,
Sign.POSITIVE,
Curvature.CONSTANT),
Curvature.CONSTANT)
assert_equals(m.dcp_curvature(m.INCREASING, Curvature.CONVEX,
Sign.POSITIVE,
Curvature.CONVEX),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.DECREASING, Curvature.CONVEX,
Sign.POSITIVE,
Curvature.CONCAVE),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.INCREASING, Curvature.CONCAVE,
Sign.POSITIVE,
Curvature.CONCAVE),
Curvature.CONCAVE)
assert_equals(m.dcp_curvature(m.DECREASING, Curvature.CONCAVE,
Sign.POSITIVE,
Curvature.CONVEX),
Curvature.CONCAVE)
assert_equals(m.dcp_curvature(m.INCREASING, Curvature.CONCAVE,
Sign.POSITIVE,
Curvature.CONVEX),
Curvature.UNKNOWN)
assert_equals(m.dcp_curvature(m.NONMONOTONIC, Curvature.CONCAVE,
Sign.POSITIVE,
Curvature.AFFINE),
Curvature.CONCAVE)
assert_equals(m.dcp_curvature(m.NONMONOTONIC, Curvature.CONSTANT,
Sign.POSITIVE,
Curvature.UNKNOWN),
Curvature.UNKNOWN)
def test_signed_curvature(self):
# Convex argument.
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.POSITIVE,
Curvature.CONVEX),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.NEGATIVE,
Curvature.CONVEX),
Curvature.UNKNOWN)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.UNKNOWN,
Curvature.CONVEX),
Curvature.UNKNOWN)
# Concave argument.
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.POSITIVE,
Curvature.CONCAVE),
Curvature.UNKNOWN)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.NEGATIVE,
Curvature.CONCAVE),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.UNKNOWN,
Curvature.CONCAVE),
Curvature.UNKNOWN)
# Affine argument.
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.POSITIVE,
Curvature.AFFINE),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.NEGATIVE,
Curvature.AFFINE),
Curvature.CONVEX)
assert_equals(m.dcp_curvature(m.SIGNED, Curvature.CONVEX,
Sign.UNKNOWN,
Curvature.AFFINE),
Curvature.CONVEX)
