Quadratic

class Quadratic

Quadratic function of decision variables.

A quadratic function has the form: \(c_0 + \sum_i c_i x_i + \sum_{ij} q_{ij} x_i x_j\) where \(x_i\) are decision variables and \(c_i\), \(q_{ij}\) are coefficients.

Examples

Create via DecisionVariable multiplication:

>>> x = DecisionVariable.integer(1)
>>> y = DecisionVariable.integer(2)
>>> q = x * y + 2*x + 3*y + 1

Note that ==, <=, >= create Constraint objects:

>>> constraint = q <= 10  # Returns Constraint

__add__(rhs: int | float | DecisionVariable | Parameter | Linear | Quadratic) → Quadratic
__add__(rhs: Polynomial) → Polynomial

__copy__() → Quadratic

__deepcopy__(_memo: Any) → Quadratic

__eq__(other: ToFunction) → Constraint: Create an equality constraint: self == other → Constraint with EqualToZero

__ge__(other: ToFunction) → Constraint: Create a greater-than-or-equal constraint: self >= other → Constraint

__iadd__(rhs: Quadratic) → Quadratic

__le__(other: ToFunction) → Constraint: Create a less-than-or-equal constraint: self <= other → Constraint

__mul__(rhs: int | float) → Quadratic
__mul__(rhs: DecisionVariable | Parameter | Linear | Quadratic | Polynomial) → Polynomial

__neg__() → Quadratic: Negation operator

__new__(columns: Sequence[int], rows: Sequence[int], values: Sequence[float], linear: Optional[Linear] = None) → Quadratic

__radd__(lhs: int | float | DecisionVariable | Parameter | Linear | Quadratic) → Quadratic
__radd__(lhs: Polynomial) → Polynomial

__repr__() → str

__rmul__(lhs: int | float) → Quadratic
__rmul__(lhs: DecisionVariable | Parameter | Linear | Quadratic | Polynomial) → Polynomial

__rsub__(lhs: int | float | DecisionVariable | Parameter | Linear | Quadratic) → Quadratic
__rsub__(lhs: Polynomial) → Polynomial

__sub__(rhs: int | float | DecisionVariable | Parameter | Linear | Quadratic) → Quadratic
__sub__(rhs: Polynomial) → Polynomial

add_assign(rhs: Quadratic) → None

add_linear(linear: Linear) → Quadratic

add_scalar(scalar: float) → Quadratic

almost_equal(other: Quadratic, atol: float = 1e-06) → bool

evaluate(state: ToState, atol: Optional[float] = None) → float

from_bytes(bytes: bytes) → Quadratic

mul_linear(linear: Linear) → Polynomial

mul_scalar(scalar: float) → Quadratic

partial_evaluate(state: ToState, atol: Optional[float] = None) → Quadratic

random(rng: Rng, num_terms: int = 5, max_id: int = 10) → Quadratic

terms() → dict

to_bytes() → bytes

property constant_term: float: Read-only property.

property linear_terms: dict[int, float]: Read-only property.

property quadratic_terms: dict[tuple[int, int], float]: Read-only property.