Numeric S¶
numeric.spad line 1 [edit on github]
Numeric provides real and complex numerical evaluation functions for various symbolic types.
- complexNumeric: (Complex S, PositiveInteger) -> Complex Float if S has CommutativeRing
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (Expression Complex S, PositiveInteger) -> Complex Float if S has IntegralDomain and S has OrderedSet
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (Expression S, PositiveInteger) -> Complex Float if S has IntegralDomain and S has OrderedSet
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (Fraction Polynomial Complex S, PositiveInteger) -> Complex Float if S has IntegralDomain
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (Fraction Polynomial S, PositiveInteger) -> Complex Float if S has IntegralDomain
complexNumeric(x, n)
returns a complex approximation ofx
- complexNumeric: (Polynomial Complex S, PositiveInteger) -> Complex Float if S has CommutativeRing
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (Polynomial S, PositiveInteger) -> Complex Float if S has Ring
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: (S, PositiveInteger) -> Complex Float
complexNumeric(x, n)
returns a complex approximation ofx
up ton
decimal places.
- complexNumeric: Complex S -> Complex Float if S has CommutativeRing
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Expression Complex S -> Complex Float if S has IntegralDomain and S has OrderedSet
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Expression S -> Complex Float if S has IntegralDomain and S has OrderedSet
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Fraction Polynomial Complex S -> Complex Float if S has IntegralDomain
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Fraction Polynomial S -> Complex Float if S has IntegralDomain
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Polynomial Complex S -> Complex Float if S has CommutativeRing
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumeric: Polynomial S -> Complex Float if S has Ring
complexNumeric(x)
returns a complex approximation ofx
.
- complexNumericIfCan: (Expression Complex S, PositiveInteger) -> Union(Complex Float, failed) if S has IntegralDomain and S has OrderedSet
complexNumericIfCan(x, n)
returns a complex approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- complexNumericIfCan: (Expression S, PositiveInteger) -> Union(Complex Float, failed) if S has IntegralDomain and S has OrderedSet
complexNumericIfCan(x, n)
returns a complex approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- complexNumericIfCan: (Fraction Polynomial Complex S, PositiveInteger) -> Union(Complex Float, failed) if S has IntegralDomain
complexNumericIfCan(x, n)
returns a complex approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- complexNumericIfCan: (Fraction Polynomial S, PositiveInteger) -> Union(Complex Float, failed) if S has IntegralDomain
complexNumericIfCan(x, n)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- complexNumericIfCan: (Polynomial Complex S, PositiveInteger) -> Union(Complex Float, failed) if S has CommutativeRing
complexNumericIfCan(x, n)
returns a complex approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- complexNumericIfCan: (Polynomial S, PositiveInteger) -> Union(Complex Float, failed) if S has Ring
complexNumericIfCan(x, n)
returns a complex approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- complexNumericIfCan: Expression Complex S -> Union(Complex Float, failed) if S has IntegralDomain and S has OrderedSet
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- complexNumericIfCan: Expression S -> Union(Complex Float, failed) if S has IntegralDomain and S has OrderedSet
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- complexNumericIfCan: Fraction Polynomial Complex S -> Union(Complex Float, failed) if S has IntegralDomain
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- complexNumericIfCan: Fraction Polynomial S -> Union(Complex Float, failed) if S has IntegralDomain
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- complexNumericIfCan: Polynomial Complex S -> Union(Complex Float, failed) if S has CommutativeRing
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not constant.
- complexNumericIfCan: Polynomial S -> Union(Complex Float, failed) if S has Ring
complexNumericIfCan(x)
returns a complex approximation ofx
, or “failed” ifx
is not a constant.
- numeric: (Expression S, PositiveInteger) -> Float if S has IntegralDomain and S has OrderedSet
numeric(x, n)
returns a real approximation ofx
up ton
decimal places.
- numeric: (Fraction Polynomial S, PositiveInteger) -> Float if S has IntegralDomain
numeric(x, n)
returns a real approximation ofx
up ton
decimal places.
- numeric: (Polynomial S, PositiveInteger) -> Float if S has Ring
numeric(x, n)
returns a real approximation ofx
up ton
decimal places.
- numeric: (S, PositiveInteger) -> Float
numeric(x, n)
returns a real approximation ofx
up ton
decimal places.
- numeric: Expression S -> Float if S has IntegralDomain and S has OrderedSet
numeric(x)
returns a real approximation ofx
.
- numeric: Fraction Polynomial S -> Float if S has IntegralDomain
numeric(x)
returns a real approximation ofx
.
- numeric: Polynomial S -> Float if S has Ring
numeric(x)
returns a real approximation ofx
.
- numeric: S -> Float
numeric(x)
returns a real approximation ofx
.
- numericIfCan: (Expression S, PositiveInteger) -> Union(Float, failed) if S has IntegralDomain and S has OrderedSet
numericIfCan(x, n)
returns a real approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- numericIfCan: (Fraction Polynomial S, PositiveInteger) -> Union(Float, failed) if S has IntegralDomain
numericIfCan(x, n)
returns a real approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- numericIfCan: (Polynomial S, PositiveInteger) -> Union(Float, failed) if S has Ring
numericIfCan(x, n)
returns a real approximation ofx
up ton
decimal places, or “failed” ifx
is not a constant.
- numericIfCan: Expression S -> Union(Float, failed) if S has IntegralDomain and S has OrderedSet
numericIfCan(x)
returns a real approximation ofx
, or “failed” ifx
is not a constant.
- numericIfCan: Fraction Polynomial S -> Union(Float, failed) if S has IntegralDomain
numericIfCan(x)
returns a real approximation ofx
, or “failed” ifx
is not a constant.
- numericIfCan: Polynomial S -> Union(Float, failed) if S has Ring
numericIfCan(x)
returns a real approximation ofx
, or “failed” ifx
is not a constant.