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Add support for definite integration #59

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Add support for definite integration #59

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ca1a14b
add support for definite integration
GregVernon Aug 8, 2023
9aaa42e
add simple tests for definite integration
GregVernon Aug 9, 2023
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7 changes: 6 additions & 1 deletion src/integral.jl
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Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
using LinearAlgebra
using Statistics: mean, std
using Symbolics

Base.signbit(z::Complex{T}) where {T <: Number} = signbit(real(z))
Base.signbit(x::SymbolicUtils.Sym{Number}) = false
Expand All @@ -21,6 +22,7 @@ Arguments:
----------
- `eq`: a univariate expression
- `x`: the independent variable (optional)
- `domain`: the domain upon which to evaluate a definite integral (optional)

Keyword Arguments:
------------------
Expand All @@ -44,7 +46,7 @@ Output:
- `unsolved`: the residual unsolved portion of the input
- `err`: the numerical error in reaching the solution
"""
function integrate(eq, x = nothing; abstol = 1e-6, num_steps = 2, num_trials = 10,
function integrate(eq, x = nothing, domain::Vector{<:Number} = nothing; abstol = 1e-6, num_steps = 2, num_trials = 10,
radius = 1.0,
show_basis = false, opt = STLSQ(exp.(-10:1:0)), bypass = false,
symbolic = true, max_basis = 100, verbose = false, complex_plane = true,
Expand All @@ -71,6 +73,9 @@ function integrate(eq, x = nothing; abstol = 1e-6, num_steps = 2, num_trials = 1
s, u, ϵ = integrate_sum(eq, x, l; bypass, abstol, num_trials, num_steps,
radius, show_basis, opt, symbolic,
max_basis, verbose, complex_plane, use_optim)
if domain != nothing
s = substitute( s, Dict( [ x=>domain[1] ] ) ) - substitute( s, Dict( [ x=>domain[2] ] ) )
end
# return simplify(s), u, ϵ
return s, u, ϵ
end
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