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TempApi Submodule

Giac.TempApi — Module
Giac.TempApi

A submodule providing convenience functions with simplified names for common symbolic computation operations. These functions delegate to invoke_cmd from the main Giac module.

This is intended as a temporary API for interactive use and quick access to common commands without needing to import the entire Giac.Commands submodule.

Access Patterns

  1. Full import (for interactive use):

    using Giac
using Giac.TempApi

x = giac_eval("x")
expr = giac_eval("x^2 - 1")
diff(expr, x)           # 2*x
factor(expr)            # (x-1)*(x+1)

  2. Selective import (recommended):

    using Giac
using Giac.TempApi: diff, factor

x = giac_eval("x")
expr = giac_eval("x^2 - 1")
diff(expr, x)    # Works
factor(expr)     # Works

  3. Qualified access:

    using Giac

x = giac_eval("x")
expr = giac_eval("x^2 - 1")
Giac.TempApi.diff(expr, x)
Giac.TempApi.factor(expr)

Exports

  • diff: Differentiate an expression (uses invoke_cmd(:diff, ...))
  • integrate: Integrate an expression (uses invoke_cmd(:integrate, ...))
  • limit: Compute limit (uses invoke_cmd(:limit, ...))
  • factor: Factor a polynomial (uses invoke_cmd(:factor, ...))
  • expand: Expand an expression (uses invoke_cmd(:expand, ...))
  • simplify: Simplify an expression (uses invoke_cmd(:simplify, ...))
  • solve: Solve an equation (uses invoke_cmd(:solve, ...))

See also

source

The Giac.TempApi submodule provides convenience functions with simplified names for common symbolic computation operations.

Usage

Selective Import (Recommended)

using Giac
using Giac.TempApi: diff, factor, integrate

x = giac_eval("x")
expr = giac_eval("x^2 - 1")
diff(expr, x)     # 2*x
factor(expr)      # (x-1)*(x+1)

Full Import

using Giac
using Giac.TempApi

x = giac_eval("x")
diff(giac_eval("x^3"), x)  # 3*x^2

Calculus Functions

Giac.TempApi.diff — Function
diff(expr, var, n=1)

Compute the nth derivative of an expression with respect to a variable.

Uses invoke_cmd(:diff, ...).

Arguments

  • expr: Expression to differentiate (GiacExpr or String)
  • var: Variable to differentiate with respect to (GiacExpr or String)
  • n: Order of differentiation (default: 1)

Returns

  • GiacExpr: The derivative

Example

using Giac
using Giac.TempApi

f = giac_eval("x^3")
x = giac_eval("x")
diff(f, x)      # 3*x^2
diff(f, x, 2)   # 6*x

See also

source
Giac.TempApi.integrate — Function
integrate(expr, var)
integrate(expr, var, a, b)

Compute indefinite or definite integral.

Uses invoke_cmd(:integrate, ...).

Arguments

  • expr: Expression to integrate (GiacExpr or String)
  • var: Variable of integration (GiacExpr or String)
  • a, b: Optional bounds for definite integration

Returns

  • GiacExpr: The integral

Example

using Giac
using Giac.TempApi

f = giac_eval("x^2")
x = giac_eval("x")
integrate(f, x)           # x^3/3
integrate(f, x, 0, 1)     # 1/3

See also

source
Giac.TempApi.limit — Function
limit(expr, var, point; direction=:both)

Compute the limit of an expression as a variable approaches a point.

Uses invoke_cmd(:limit, ...).

Arguments

  • expr: The expression (GiacExpr or String)
  • var: The variable (GiacExpr or String)
  • point: The point to approach
  • direction: :left, :right, or :both (default)

Returns

  • GiacExpr: The limit

Example

using Giac
using Giac.TempApi

f = giac_eval("sin(x)/x")
x = giac_eval("x")
limit(f, x, giac_eval("0"))  # 1

See also

source

Algebra Functions

Giac.TempApi.factor — Function
factor(expr)

Factor a polynomial expression.

Uses invoke_cmd(:factor, ...).

Arguments

  • expr: Expression to factor (GiacExpr or String)

Returns

  • GiacExpr: The factored expression

Example

using Giac
using Giac.TempApi

p = giac_eval("x^2 - 1")
factor(p)  # (x-1)*(x+1)

See also

source
Giac.TempApi.expand — Function
expand(expr)

Expand a polynomial expression.

Uses invoke_cmd(:expand, ...).

Arguments

  • expr: Expression to expand (GiacExpr or String)

Returns

  • GiacExpr: The expanded expression

Example

using Giac
using Giac.TempApi

p = giac_eval("(x+1)^3")
expand(p)  # x^3 + 3*x^2 + 3*x + 1

See also

source
Giac.TempApi.simplify — Function
simplify(expr)

Simplify an expression.

Uses invoke_cmd(:simplify, ...).

Arguments

  • expr: Expression to simplify (GiacExpr or String)

Returns

  • GiacExpr: The simplified expression

Example

using Giac
using Giac.TempApi

e = giac_eval("(x^2 - 1)/(x - 1)")
simplify(e)  # x + 1

See also

source
Giac.TempApi.solve — Function
solve(expr, var)

Solve an equation for a variable.

Uses invoke_cmd(:solve, ...).

Arguments

  • expr: The equation (assumed equal to 0) or an equation with =
  • var: The variable to solve for

Returns

  • GiacExpr: Solution set

Example

using Giac
using Giac.TempApi

eq = giac_eval("x^2 - 4")
x = giac_eval("x")
solve(eq, x)  # [-2, 2]

See also

source