Skip to content

Implement sin and cos #4

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
tmcgrath325 wants to merge 1 commit into
base: main
Choose a base branch
from
Open

Implement sin and cos #4

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
16 changes: 16 additions & 0 deletions src/GaussianRandomVariables.jl
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -227,4 +227,20 @@ function Base.sqrt(a::GVar{<:AbstractFloat})
return GVar(meanvar(sqrt, x -> 1/(2*sqrt(x)), x -> -1/(4 * sqrt(x^3)), a.center, a.σ)...)
end

# For the following trigonometric functions, the resulting distributions are not normal,
# but they will still be represented as such
function Base.sin(a::GVar{<:AbstractFloat})
return GVar(
sin(a.center) * exp(-0.5 * a.σ^2),
0.5 - 0.5*cos(2*a.center)*exp(-2 * a.σ^2) - (sin(a.center)^2) * exp(-a.σ^2)
)
end

function Base.cos(a::GVar{<:AbstractFloat})
return GVar(
cos(a.center) * exp(-0.5 * a.σ^2),
0.5 + 0.5 * cos(2*a.center)*exp(-2 * a.σ^2) - (cos(a.center)^2) * exp(-a.σ^2)
)
end

end # module
Loading