diff --git a/stable b/stable index f2afddf9c..4d5899787 120000 --- a/stable +++ b/stable @@ -1 +1 @@ -v0.7.3 \ No newline at end of file +v0.7.4 \ No newline at end of file diff --git a/v0.7 b/v0.7 index f2afddf9c..4d5899787 120000 --- a/v0.7 +++ b/v0.7 @@ -1 +1 @@ -v0.7.3 \ No newline at end of file +v0.7.4 \ No newline at end of file diff --git a/v0.7.4/.documenter-siteinfo.json b/v0.7.4/.documenter-siteinfo.json new file mode 100644 index 000000000..61cb86ecd --- /dev/null +++ b/v0.7.4/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.6.7","generation_timestamp":"2024-01-31T05:30:12","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/v0.7.4/api/cones/index.html b/v0.7.4/api/cones/index.html new file mode 100644 index 000000000..46eb9f7a2 --- /dev/null +++ b/v0.7.4/api/cones/index.html @@ -0,0 +1,38 @@ + +Cones module · Hypatia
GitHub

Cones module

See the Cone interface and predefined cones section.

Array utilities

Hypatia.Cones.vec_length — Function
vec_length(_, len)
+

The dimension of the real vectorization of a real or complex vector of length len::Int.

source
Hypatia.Cones.vec_copyto! — Function
vec_copyto!(v1, v2)
+

Copy a vector in-place.

source
vec_copyto!(rvec, cvec)
+

Copy a complex vector to a real vector in-place.

source
vec_copyto!(cvec, rvec)
+

Copy a real vector to a complex vector in-place.

source
Hypatia.Cones.svec_length — Function
svec_length(side)
+

The dimension of the vectorized triangle of a real symmetric matrix with side dimension side::Int.

source
svec_length(_, side)
+

The dimension of the real vectorized triangle of a real symmetric or complex Hermitian matrix with side dimension side::Int.

source
Hypatia.Cones.svec_side — Function
svec_side(len)
+

The side dimension of a real symmetric matrix with vectorized triangle length len::Int.

source
svec_side(_, len)
+

The side dimension of a real symmetric or complex Hermitian matrix with real vectorized triangle length len::Int.

source
Hypatia.Cones.svec_idx — Function
svec_idx(row, col)
+

The index in the vectorized triangle of a symmetric matrix for element (row::Int, col::Int).

source
Hypatia.Cones.block_idxs — Function
block_idxs(incr, block)
+

The indices corresponding to block block::Int in a vector of blocks with equal length incr::Int.

source
Hypatia.Cones.scale_svec! — Function
scale_svec!(arr, scal)
+

Rescale the elements corresponding to off-diagonals in arr::AbstractVecOrMat, with scaling scal::Real, for real symmetric matrices.

source
Hypatia.Cones.scale_svec_incr! — Function
scale_svec_incr!(arr, scal, incr)
+

Rescale the elements corresponding to off-diagonals in arr::AbstractVecOrMat, with scaling scal::Real and block increment incr::Int, for real symmetric matrices.

source
Hypatia.Cones.smat_to_svec! — Function
smat_to_svec!(vec, mat, rt2)
+

Copy a real symmetric matrix upper triangle to a svec-scaled vector in-place.

source
smat_to_svec!(vec, mat, rt2)
+

Copy a complex Hermitian matrix upper triangle to a svec-scaled real vector in-place.

source
Hypatia.Cones.svec_to_smat! — Function
svec_to_smat!(mat, vec, rt2)
+

Copy a svec-scaled vector to a real symmetric matrix upper triangle in-place.

source
svec_to_smat!(mat, vec, rt2)
+

Copy a svec-scaled real vector to a complex Hermitian matrix upper triangle in-place.

source

Cone oracles

Hypatia.Cones.is_feas — Function
is_feas(cone)
+

Returns true if and only if the currently-loaded primal point is strictly feasible for the cone.

source
Hypatia.Cones.is_dual_feas — Function
is_dual_feas(cone)
+

Returns false only if the currently-loaded dual point is outside the interior of the cone's dual cone.

source
Hypatia.Cones.grad — Function
grad(cone)
+

The gradient of the cone's barrier function at the currently-loaded primal point.

source
Hypatia.Cones.hess — Function
hess(cone)
+

The Hessian (symmetric positive definite) of the cone's barrier function at the currently-loaded primal point.

source
Hypatia.Cones.inv_hess — Function
inv_hess(cone)
+

The inverse Hessian (symmetric positive definite) of the cone's barrier function at the currently-loaded primal point.

source
Hypatia.Cones.hess_prod! — Function
hess_prod!(prod, arr, cone)
+

Compute the product of the Hessian of the cone's barrier function at the currently-loaded primal point with a vector or array, in-place.

source
Hypatia.Cones.inv_hess_prod! — Function
inv_hess_prod!(prod, arr, cone)
+

Compute the product of the inverse Hessian of the cone's barrier function at the currently-loaded primal point with a vector or array, in-place.

source
Hypatia.Cones.dder3 — Function
dder3(cone, dir)
+

Compute the third-order directional derivative, in the direction dir, the cone's barrier function at the currently-loaded primal point.

source

Predefined cone types

Hypatia.Cones.Nonnegative — Type
mutable struct Nonnegative{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Nonnegative cone of dimension dim.

Nonnegative{T}(dim::Int)
source
Hypatia.Cones.PosSemidefTri — Type
mutable struct PosSemidefTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Real symmetric or complex Hermitian positive semidefinite cone of dimension dim in svec (scaled upper triangle) format.

PosSemidefTri{T, R}(dim::Int)
source
Hypatia.Cones.DoublyNonnegativeTri — Type
mutable struct DoublyNonnegativeTri{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Real symmetric doubly nonnegative cone (intersection of nonnegative and positive semidefinite cones) of dimension dim in svec format.

DoublyNonnegativeTri{T}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.PosSemidefTriSparse — Type
mutable struct PosSemidefTriSparse{I<:Hypatia.Cones.PSDSparseImpl, T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Real symmetric or complex Hermitian sparse positive semidefinite cone of side dimension side and sparse lower triangle row and column indices rows, cols in svec format. Note all diagonal elements must be present.

PosSemidefTriSparse{T, R}(side::Int, rows::Vector{Int}, cols::Vector{Int}, use_dual::Bool = false)
source
Hypatia.Cones.LinMatrixIneq — Type
mutable struct LinMatrixIneq{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Linear matrix inequality cone parametrized by list of real symmetric or complex Hermitian matrices mats of equal dimension.

LinMatrixIneq{T}(mats::Vector, use_dual::Bool = false)
source
Hypatia.Cones.EpiNormInf — Type
mutable struct EpiNormInf{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of real or complex infinity norm cone of dimension dim.

EpiNormInf{T, R}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.EpiNormEucl — Type
mutable struct EpiNormEucl{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of Euclidean norm (AKA second-order) cone of dimension dim.

EpiNormEucl{T}(dim::Int)
source
Hypatia.Cones.EpiPerSquare — Type
mutable struct EpiPerSquare{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of perspective function of halved squared Euclidean norm (AKA rotated second-order) cone of dimension dim.

EpiPerSquare{T}(dim::Int)
source
Hypatia.Cones.EpiNormSpectralTri — Type
mutable struct EpiNormSpectralTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of real symmetric or complex Hermitian matrix spectral norm (i.e. maximum absolute value of eigenvalues) cone of dimension dim in svec format.

EpiNormSpectralTri{T, R}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.EpiNormSpectral — Type
mutable struct EpiNormSpectral{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of real or complex matrix spectral norm (i.e. maximum singular value) for a matrix (stacked column-wise) of nrows rows and ncols columns with nrows ≤ ncols.

EpiNormSpectral{T, R}(nrows::Int, ncols::Int, use_dual::Bool = false)
source
Hypatia.Cones.MatrixEpiPerSquare — Type
mutable struct MatrixEpiPerSquare{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Matrix epigraph of perspective function of real or complex matrix outer product for a matrix (stacked column-wise) of nrows rows and ncols columns with nrows ≤ ncols.

MatrixEpiPerSquare{T, R}(nrows::Int, ncols::Int, use_dual::Bool = false)
source
Hypatia.Cones.GeneralizedPower — Type
mutable struct GeneralizedPower{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Generalized power cone parametrized by powers α in the unit simplex and dimension d of the normed variables.

GeneralizedPower{T}(α::Vector{T}, d::Int, use_dual::Bool = false)
source
Hypatia.Cones.HypoPowerMean — Type
mutable struct HypoPowerMean{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Hypograph of weighted power mean cone parametrized by powers α in the unit simplex.

HypoPowerMean{T}(α::Vector{T}, use_dual::Bool = false)
source
Hypatia.Cones.HypoGeoMean — Type
mutable struct HypoGeoMean{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Hypograph of geometric mean cone of dimension dim.

HypoGeoMean{T}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.HypoRootdetTri — Type
mutable struct HypoRootdetTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Hypograph of real symmetric or complex Hermitian root-determinant cone of dimension dim in svec format.

HypoRootdetTri{T, R}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.HypoPerLog — Type
mutable struct HypoPerLog{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Hypograph of perspective function of sum-log cone of dimension dim.

HypoPerLog{T}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.HypoPerLogdetTri — Type
mutable struct HypoPerLogdetTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Hypograph of perspective function of real symmetric or complex Hermitian log-determinant cone of dimension dim in svec format.

HypoPerLogdetTri{T, R}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.EpiPerSepSpectral — Type
mutable struct EpiPerSepSpectral{Q<:Hypatia.Cones.ConeOfSquares, T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of perspective function of a convex separable spectral function h over a cone of squares Q on a Jordan algebra with rank d.

EpiPerSepSpectral{Q, T}(h::Hypatia.Cones.SepSpectralFun, d::Int, use_dual::Bool = false)
source
Hypatia.Cones.EpiRelEntropy — Type
mutable struct EpiRelEntropy{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of vector relative entropy cone of dimension dim.

EpiRelEntropy{T}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.EpiTrRelEntropyTri — Type
mutable struct EpiTrRelEntropyTri{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Epigraph of matrix relative entropy cone of dimension dim in svec format.

EpiTrRelEntropyTri{T}(dim::Int, use_dual::Bool = false)
source
Hypatia.Cones.WSOSInterpNonnegative — Type
mutable struct WSOSInterpNonnegative{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}

Interpolant-basis weighted sum-of-squares polynomial cone of dimension U, for real or real-valued complex polynomials, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.

WSOSInterpNonnegative{T, R}(U::Int, Ps::Vector{Matrix{R}}, use_dual::Bool = false)
source
Hypatia.Cones.WSOSInterpPosSemidefTri — Type
mutable struct WSOSInterpPosSemidefTri{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Interpolant-basis weighted sum-of-squares polynomial (of dimension U) positive semidefinite matrix (of side dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.

WSOSInterpPosSemidefTri{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)
source
Hypatia.Cones.WSOSInterpEpiNormEucl — Type
mutable struct WSOSInterpEpiNormEucl{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Interpolant-basis weighted sum-of-squares polynomial (of dimension U) epigraph of ℓ₂ norm (of dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.

WSOSInterpEpiNormEucl{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)
source
Hypatia.Cones.WSOSInterpEpiNormOne — Type
mutable struct WSOSInterpEpiNormOne{T<:Real} <: Hypatia.Cones.Cone{T<:Real}

Interpolant-basis weighted sum-of-squares polynomial (of dimension U) epigraph of ℓ₁ norm (of dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.

WSOSInterpEpiNormOne{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)
source

Helpers for PosSemidefTriSparse

EpiPerSepSpectral helpers

Hypatia.Cones.MatrixCSqr — Type
struct MatrixCSqr{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.ConeOfSquares{T<:Real}

Real symmetric or complex Hermitian positive semidefinite cone of squares.

source
Hypatia.Cones.vector_dim — Function
vector_dim(
+    _::Type{var"#s68"} where var"#s68"<:Hypatia.Cones.VectorCSqr,
+    d::Int64
+) -> Int64
+

The rank of the vector cone of squares, equal to the vector length.

source
vector_dim(
+    _::Type{var"#s67"} where var"#s67"<:(Hypatia.Cones.MatrixCSqr{var"#s66", R} where var"#s66"<:Real),
+    d::Int64
+) -> Int64
+

The rank of the matrix cone of squares, equal to the side dimension of the matrix.

source
Hypatia.Cones.NegSqrtSSF — Type
struct NegSqrtSSF <: Hypatia.Cones.SepSpectralFun

The negative square root function $x \to -x^{1/2}$. Note this is a special case of the negative power: NegPower01SSF(0.5).

source
Hypatia.Cones.NegPower01SSF — Type
struct NegPower01SSF <: Hypatia.Cones.SepSpectralFun

The negative power function $x \to -x^p$ parametrized by $p \in (0, 1)$

source
Hypatia.Cones.Power12SSF — Type
struct Power12SSF <: Hypatia.Cones.SepSpectralFun

The power function $x \to x^p$ parametrized by $p \in (1, 2]$. Note for $p = 2$, it is more efficient to use EpiPerSquare.

source
diff --git a/v0.7.4/api/hypatia/index.html b/v0.7.4/api/hypatia/index.html new file mode 100644 index 000000000..5ad889159 --- /dev/null +++ b/v0.7.4/api/hypatia/index.html @@ -0,0 +1,2 @@ + +Hypatia module · Hypatia
GitHub

Hypatia module

Hypatia.Hypatia — Module

A Julia package for generic conic optimization with interior point algorithms.

source

MathOptInterface optimizer

Hypatia.Optimizer — Type
mutable struct Optimizer{T<:Real} <: MathOptInterface.AbstractOptimizer

A MathOptInterface optimizer type for Hypatia.

source

MathOptInterface cones

diff --git a/v0.7.4/api/models/index.html b/v0.7.4/api/models/index.html new file mode 100644 index 000000000..6f50acd54 --- /dev/null +++ b/v0.7.4/api/models/index.html @@ -0,0 +1,2 @@ + +Models module · Hypatia
GitHub
diff --git a/v0.7.4/api/polyutils/index.html b/v0.7.4/api/polyutils/index.html new file mode 100644 index 000000000..7d141ea54 --- /dev/null +++ b/v0.7.4/api/polyutils/index.html @@ -0,0 +1,23 @@ + +PolyUtils module · Hypatia
GitHub

PolyUtils module

Real polynomial domains

Hypatia.PolyUtils.EllipsoidDomain — Type
mutable struct EllipsoidDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}

Hyperellipse $(x-c)' Q (x-c) \leq 1$ with center c::Vector{T} and symmetric positive definite scaling/rotation matrix Q::AbstractMatrix{T}.

source
Hypatia.PolyUtils.BoxDomain — Type
mutable struct BoxDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}

Hyperbox $x ∈ [l, u]$ with lower bounds l::Vector{T} and upper bounds u::Vector{T}.

source
Hypatia.PolyUtils.BallDomain — Type
mutable struct BallDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}

Euclidean hyperball $\lVert (x-c) \rVert_2 \leq r$ with center c::Vector{T} and positive radius r::T.

source

Interpolation

Hypatia.PolyUtils.interpolate — Function
interpolate(
+    dom,
+    d;
+    calc_V,
+    get_quadr,
+    sample,
+    sample_factor
+)
+

Compute interpolation data for a real weighted sum-of-squares conic constraint on a domain.

source
interpolate(
+    R,
+    halfdeg,
+    n,
+    gs,
+    g_halfdegs;
+    sample_factor,
+    use_qr
+)
+

Compute interpolation data for a complex weighted sum-of-squares conic constraint on a domain.

source
diff --git a/v0.7.4/api/solvers/index.html b/v0.7.4/api/solvers/index.html new file mode 100644 index 000000000..8f930e7a0 --- /dev/null +++ b/v0.7.4/api/solvers/index.html @@ -0,0 +1,2 @@ + +Solvers module · Hypatia
GitHub
diff --git a/v0.7.4/assets/documenter.js b/v0.7.4/assets/documenter.js new file mode 100644 index 000000000..f5311607b --- /dev/null +++ b/v0.7.4/assets/documenter.js @@ -0,0 +1,889 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'minisearch': 'https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function () { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'minisearch'], function($, minisearch) { + +// In general, most search related things will have "search" as a prefix. +// To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +let results = []; +let timer = undefined; + +let data = documenterSearchIndex["docs"].map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; +}); + +// list below is the lunr 2.1.3 list minus the intersect with names(Base) +// (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) +// ideally we'd just filter the original list but it's not available as a variable +const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", +]); + +let index = new minisearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with search results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + boost: { title: 100 }, + fuzzy: 2, + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + tokenize: (string) => string.split(/[\s\-\.]+/), + }, +}); + +index.addAll(data); + +let filters = [...new Set(data.map((x) => x.category))]; +var modal_filters = make_modal_body_filters(filters); +var filter_results = []; + +$(document).on("keyup", ".documenter-search-input", function (event) { + // Adding a debounce to prevent disruptions from super-speed typing! + debounce(() => update_search(filter_results), 300); +}); + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + $(this).removeClass("search-filter-selected"); + } else { + $(this).addClass("search-filter-selected"); + } + + // Adding a debounce to prevent disruptions from crazy clicking! + debounce(() => get_filters(), 300); +}); + +/** + * A debounce function, takes a function and an optional timeout in milliseconds + * + * @function callback + * @param {number} timeout + */ +function debounce(callback, timeout = 300) { + clearTimeout(timer); + timer = setTimeout(callback, timeout); +} + +/** + * Make/Update the search component + * + * @param {string[]} selected_filters + */ +function update_search(selected_filters = []) { + let initial_search_body = ` +
Type something to get started!
+ `; + + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + results = index.search(querystring, { + filter: (result) => { + // Filtering results + if (selected_filters.length === 0) { + return result.score >= 1; + } else { + return ( + result.score >= 1 && selected_filters.includes(result.category) + ); + } + }, + }); + + let search_result_container = ``; + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + results.forEach(function (result) { + if (result.location) { + // Checking for duplication of results for the same page + if (!links.includes(result.location)) { + search_results += make_search_result(result, querystring); + count++; + } + + links.push(result.location); + } + }); + + let result_count = `
${count} result(s)
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + filter_results = []; + modal_filters = make_modal_body_filters(filters, filter_results); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(initial_search_body); + } +} + +/** + * Make the modal filter html + * + * @param {string[]} filters + * @param {string[]} selected_filters + * @returns string + */ +function make_modal_body_filters(filters, selected_filters = []) { + let str = ``; + + filters.forEach((val) => { + if (selected_filters.includes(val)) { + str += `${val}`; + } else { + str += `${val}`; + } + }); + + let filter_html = ` +
+ Filters: + ${str} +
+ `; + + return filter_html; +} + +/** + * Make the result component given a minisearch result data object and the value of the search input as queryString. + * To view the result object structure, refer: https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ +function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`\\b${querystring}\\b`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`\\b${querystring}\\b`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${result.title}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; +} + +/** + * Get selected filters, remake the filter html and lastly update the search modal + */ +function get_filters() { + let ele = $(".search-filters .search-filter-selected").get(); + filter_results = ele.map((x) => $(x).text().toLowerCase()); + modal_filters = make_modal_body_filters(filters, filter_results); + update_search(filter_results); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+`; + +let initial_search_body = ` +
Type something to get started!
+`; + +let search_modal_footer = ` + +`; + +$(document.body).append( + ` + + ` +); + +document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); +}); + +document.querySelector(".close-search-modal").addEventListener("click", () => { + closeModal(); +}); + +$(document).on("click", ".search-result-link", function () { + closeModal(); +}); + +document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; +}); + +// Functions to open and close a modal +function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); +} + +function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); +} + +document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/v0.7.4/assets/themes/documenter-dark.css b/v0.7.4/assets/themes/documenter-dark.css new file mode 100644 index 000000000..9f5449f4b --- /dev/null +++ b/v0.7.4/assets/themes/documenter-dark.css @@ -0,0 +1,7 @@ +html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .file-cta,html.theme--documenter-dark .file-name,html.theme--documenter-dark .select select,html.theme--documenter-dark .textarea,html.theme--documenter-dark .input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark .button{-moz-appearance:none;-webkit-appearance:none;align-items:center;border:1px solid transparent;border-radius:.4em;box-shadow:none;display:inline-flex;font-size:1rem;height:2.5em;justify-content:flex-start;line-height:1.5;padding-bottom:calc(0.5em - 1px);padding-left:calc(0.75em - 1px);padding-right:calc(0.75em - 1px);padding-top:calc(0.5em - 1px);position:relative;vertical-align:top}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus,html.theme--documenter-dark .pagination-ellipsis:focus,html.theme--documenter-dark .file-cta:focus,html.theme--documenter-dark .file-name:focus,html.theme--documenter-dark .select select:focus,html.theme--documenter-dark .textarea:focus,html.theme--documenter-dark .input:focus,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:focus,html.theme--documenter-dark .button:focus,html.theme--documenter-dark .is-focused.pagination-previous,html.theme--documenter-dark .is-focused.pagination-next,html.theme--documenter-dark .is-focused.pagination-link,html.theme--documenter-dark .is-focused.pagination-ellipsis,html.theme--documenter-dark .is-focused.file-cta,html.theme--documenter-dark .is-focused.file-name,html.theme--documenter-dark .select select.is-focused,html.theme--documenter-dark .is-focused.textarea,html.theme--documenter-dark .is-focused.input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-focused,html.theme--documenter-dark .is-focused.button,html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active,html.theme--documenter-dark .pagination-ellipsis:active,html.theme--documenter-dark .file-cta:active,html.theme--documenter-dark .file-name:active,html.theme--documenter-dark .select select:active,html.theme--documenter-dark .textarea:active,html.theme--documenter-dark .input:active,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input:active,html.theme--documenter-dark .button:active,html.theme--documenter-dark .is-active.pagination-previous,html.theme--documenter-dark .is-active.pagination-next,html.theme--documenter-dark .is-active.pagination-link,html.theme--documenter-dark .is-active.pagination-ellipsis,html.theme--documenter-dark .is-active.file-cta,html.theme--documenter-dark .is-active.file-name,html.theme--documenter-dark .select select.is-active,html.theme--documenter-dark .is-active.textarea,html.theme--documenter-dark .is-active.input,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-active,html.theme--documenter-dark .is-active.button{outline:none}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark .pagination-next[disabled],html.theme--documenter-dark .pagination-link[disabled],html.theme--documenter-dark .pagination-ellipsis[disabled],html.theme--documenter-dark .file-cta[disabled],html.theme--documenter-dark .file-name[disabled],html.theme--documenter-dark .select select[disabled],html.theme--documenter-dark .textarea[disabled],html.theme--documenter-dark .input[disabled],html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input[disabled],html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark fieldset[disabled] .pagination-previous,fieldset[disabled] html.theme--documenter-dark .pagination-next,html.theme--documenter-dark fieldset[disabled] .pagination-next,fieldset[disabled] html.theme--documenter-dark .pagination-link,html.theme--documenter-dark fieldset[disabled] .pagination-link,fieldset[disabled] html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark fieldset[disabled] .pagination-ellipsis,fieldset[disabled] html.theme--documenter-dark .file-cta,html.theme--documenter-dark fieldset[disabled] .file-cta,fieldset[disabled] html.theme--documenter-dark .file-name,html.theme--documenter-dark fieldset[disabled] .file-name,fieldset[disabled] html.theme--documenter-dark .select select,fieldset[disabled] html.theme--documenter-dark .textarea,fieldset[disabled] html.theme--documenter-dark .input,fieldset[disabled] html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark fieldset[disabled] .select select,html.theme--documenter-dark .select fieldset[disabled] select,html.theme--documenter-dark fieldset[disabled] .textarea,html.theme--documenter-dark fieldset[disabled] .input,html.theme--documenter-dark fieldset[disabled] #documenter .docs-sidebar form.docs-search>input,html.theme--documenter-dark #documenter .docs-sidebar fieldset[disabled] form.docs-search>input,fieldset[disabled] html.theme--documenter-dark .button,html.theme--documenter-dark fieldset[disabled] .button{cursor:not-allowed}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" ";display:block;height:0.625em;margin-top:-0.4375em;pointer-events:none;position:absolute;top:50%;transform:rotate(-45deg);transform-origin:center;width:0.625em}html.theme--documenter-dark .admonition:not(:last-child),html.theme--documenter-dark .tabs:not(:last-child),html.theme--documenter-dark .pagination:not(:last-child),html.theme--documenter-dark .message:not(:last-child),html.theme--documenter-dark .level:not(:last-child),html.theme--documenter-dark .breadcrumb:not(:last-child),html.theme--documenter-dark .block:not(:last-child),html.theme--documenter-dark .title:not(:last-child),html.theme--documenter-dark 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.button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark 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kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ad8100 #ad8100 !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fffaeb;color:#d19c00}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fff7de;border-color:transparent;color:#d19c00}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fff3d1;border-color:transparent;color:#d19c00}html.theme--documenter-dark .button.is-danger{background-color:#9e1b0d;border-color:transparent;color:#fff}html.theme--documenter-dark 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.button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--documenter-dark .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--documenter-dark .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--documenter-dark div.icon-text{display:flex}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/v0.7.4/assets/themeswap.js b/v0.7.4/assets/themeswap.js new file mode 100644 index 000000000..9f5eebe6a --- /dev/null +++ b/v0.7.4/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/v0.7.4/assets/warner.js b/v0.7.4/assets/warner.js new file mode 100644 index 000000000..3f6f5d008 --- /dev/null +++ b/v0.7.4/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/v0.7.4/benchmarks/index.html b/v0.7.4/benchmarks/index.html new file mode 100644 index 000000000..9ec6b17ac --- /dev/null +++ b/v0.7.4/benchmarks/index.html @@ -0,0 +1,2 @@ + +Benchmarks · Hypatia
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Benchmarking scripts

In the benchmarks folder, we have scripts for running performance benchmarks on instances derived from our examples. See Examples for descriptions of our examples, and see the examples folder for the instances, which are generated on-the-fly. The two types of benchmarks we run are:

  • natural versus extended formulations, for a selection of examples; see natvsext,
  • selected algorithmic options for the stepping procedures; see stepper.

We also provide scripts to analyze the raw results output from the run scripts. See the READMEs for simple instructions for running these scripts on your machines. Each run script typically takes several days to complete if running all examples, and the analysis scripts only take seconds.

diff --git a/v0.7.4/cones/index.html b/v0.7.4/cones/index.html new file mode 100644 index 000000000..d5f896fbe --- /dev/null +++ b/v0.7.4/cones/index.html @@ -0,0 +1,2 @@ + +Cones · Hypatia
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Cone interface and predefined cones

Generic cone interface

Hypatia's Cones module specifies a generic cone interface that allows defining new proper cones as subtypes of Cone. This requires implementing cone oracles as methods for the new cone type; see Cone oracles. The required oracles are:

  • an initial interior point inside the cone; see set_initial_point!,
  • a feasibility test, which checks whether a given point is in the interior of the cone; see is_feas,
  • gradient and Hessian evaluations for a logarithmically homogeneous self-concordant barrier (LHSCB) function for the cone; see grad and hess.

Additional optional oracles can be specified to improve speed and numerical performance. Defining a new cone automatically defines its dual cone (through the use_dual option) also. See Hypatia's predefined cones in the cones folder for examples of how to implement a new cone type and efficient oracles. The implementations of the HypoPowerMean cone (which uses a primal LHSCB) and the WSOSInterpNonnegative cone (which uses a dual LHSCB) are fairly typical.

Predefined cones

Hypatia predefines many proper cones that are practically useful; see Predefined cone types. These cones are used in Hypatia's Examples and native instances. These cones are also wrapped as MathOptInterface.AbstractVectorSet types and exported from Hypatia; see MathOptInterface cones.

diff --git a/v0.7.4/examples/index.html b/v0.7.4/examples/index.html new file mode 100644 index 000000000..882ca1c5d --- /dev/null +++ b/v0.7.4/examples/index.html @@ -0,0 +1,2 @@ + +Examples · Hypatia
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Examples

See the Hypatia examples folder for example models and corresponding test/benchmark instances. Most examples have options for instance sizes/characteristics and formulation variants. See the example files for more information and references. Most example models use JuMP, and some use Hypatia's native interface. New examples are welcomed and should be implemented similarly to the existing examples and linked from this page.

  • CBLIB. Run a given CBLIB instance from the Conic Benchmark Library.
  • Central polynomial matrix. Minimize a spectral function of a gram matrix of a polynomial.
  • Classical-quantum capacity. Compute the capacity of a classical-to-quantum channel.
  • Condition number. Minimize the condition number of a matrix pencil subject to a linear matrix inequality.
  • Contraction analysis. Find a contraction metric that guarantees global stability of a dynamical system.
  • Convexity parameter. Find the strong convexity parameter of a polynomial function over a domain.
  • Covariance estimation. Estimate a covariance matrix that satisfies some given prior information and minimizes a given convex spectral function.
  • Density estimation. Find a valid polynomial density function maximizing the likelihood of a set of observations.
  • Discrete maximum likelihood. Maximize the likelihood of some observations at discrete points, subject to the probability vector being close to a uniform prior.
  • D-optimal design. Solve a D-optimal experiment design problem, i.e. maximize the determinant of the information matrix subject to side constraints.
  • Entanglement-assisted capacity. Compute the entanglement-assisted classical capacity of a quantum channel.
  • Experiment design. Solve a general experiment design problem that minimizes a given convex spectral function of the information matrix subject to side constraints.
  • Linear program. Solve a simple linear program.
  • Lotka-Volterra. Find an optimal controller for a Lotka-Volterra model of population dynamics.
  • Lyapunov stability. Minimize an upper bound on the root mean square gain of a dynamical system.
  • Matrix completion. Complete a rectangular matrix by minimizing the nuclear norm and constraining the missing entries.
  • Matrix quadratic. Find a rectangular matrix that minimizes a linear function and satisfies a constraint on the outer product of the matrix.
  • Matrix regression. Solve a multiple-output (or matrix) regression problem with regularization terms (such as $\ell_1$, $\ell_2$, or nuclear norm).
  • Maximum volume hypercube. Find a maximum volume hypercube (with edges parallel to the axes) inside a given polyhedron or ellipsoid.
  • Nearest correlation matrix. Compute the nearest correlation matrix in the quantum relative entropy sense.
  • Nearest polynomial matrix. Given a symmetric matrix of polynomials $H$, find a polynomial matrix $Q$ that minimizes the sum of the integrals of its elements over the unit box and guarantees $Q - H$ is pointwise PSD on the unit box.
  • Nearest PSD matrix. Find a sparse PSD matrix or a PSD-completable matrix (with a given sparsity pattern) with constant trace that maximizes a linear function.
  • Nonparametric distribution. Given a random variable taking values in a finite set, compute the distribution minimizing a given convex spectral function over all distributions satisfying some prior information.
  • Norm cone polynomial. Given a vector of polynomials, check a sufficient condition for pointwise membership in the epigraph of the $\ell_1$ or $\ell_2$ norm.
  • Polynomial envelope. Find a polynomial that closely approximates, over the unit box, the lower envelope of a given list of polynomials.
  • Polynomial minimization. Compute a lower bound for a given polynomial over a given semialgebraic set.
  • Polynomial norm. Find a polynomial that, over the unit box, has minimal integral and belongs pointwise to the epigraph of the $\ell_1$ or $\ell_2$ norm of other given polynomials.
  • Portfolio. Maximize the expected returns of a stock portfolio and satisfy various risk constraints.
  • Region of attraction. Find the region of attraction of a polynomial control system.
  • Relative entropy of entanglement. Compute a lower bound on relative entropy of entanglement with a positive partial transpose relaxation.
  • Robust geometric programming. Bound the worst-case optimal value of an uncertain signomial function with a given coefficient uncertainty set.
  • Semidefinite polynomial matrix. Check a sufficient condition for global convexity of a given polynomial.
  • Shape constrained regression. Given a dataset, fit a polynomial function that satisfies shape constraints such as monotonicity or convexity over a domain.
  • Signomial minimization. Compute a global lower bound for a given signomial function.
  • Sparse LMI. Optimize over a simple linear matrix inequality with sparse data.
  • Sparse principal components. Solve a convex relaxation of the problem of approximating a symmetric matrix by a rank-one matrix with a cardinality-constrained eigenvector.
  • Stability number. Given a graph, solve for a particular strengthening of the theta function towards the stability number.
diff --git a/v0.7.4/index.html b/v0.7.4/index.html new file mode 100644 index 000000000..8cb228bd7 --- /dev/null +++ b/v0.7.4/index.html @@ -0,0 +1,4 @@ + +Home · Hypatia
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Hypatia

Hypatia is a highly-customizable interior point solver for generic conic optimization problems, written in Julia. It is licensed under the MIT License; see LICENSE.

See the README for a quick-start introduction. For more information about Hypatia's algorithms and cones, please see our working paper and cones reference.

Installation

To use Hypatia, install Julia, then at the Julia REPL, type:

using Pkg
+Pkg.add("Hypatia")
+using Hypatia

Hypatia is an experimental solver and a work in progress, and may not run with older releases of Julia. Default options/parameters are not well-tuned, so we encourage you to experiment with these.

Usage

Hypatia can be accessed through a low-level native Julia interface or through open-source modeling tools such as JuMP and Convex.jl. The native interface is more expressive, allowing Hypatia to solve conic models expressed with generic real floating point types and structured matrices or linear operators, for example. However, it is typically sufficient and more convenient to use JuMP.

diff --git a/v0.7.4/modeling/index.html b/v0.7.4/modeling/index.html new file mode 100644 index 000000000..569c7bf0a --- /dev/null +++ b/v0.7.4/modeling/index.html @@ -0,0 +1,14 @@ + +Modeling · Hypatia
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Conic models

Conic form

Any convex optimization problem may be represented as a conic problem that minimizes a linear function over the intersection of an affine subspace with a Cartesian product of primitive proper cones (i.e. irreducible, closed, convex, pointed, and full-dimensional conic sets). An advantage of using conic form is that a conic problem, if well-posed, has a very simple and easily checkable certificate of optimality, primal infeasibility, or dual infeasibility.

Hypatia's primal conic form over variable $x \in \mathbb{R}^n$ is:

\[\begin{aligned} +\min \quad c'x &: +\\ +b - Ax &= 0 +\\ +h - Gx &\in \mathcal{K} +\end{aligned}\]

where $\mathcal{K}$ is a proper cone.

The corresponding conic dual form over variables $y \in \mathbb{R}^p$ and $z \in \mathbb{R}^q$ is:

\[\begin{aligned} +\max \quad -b'y - h'z &: +\\ +c + A'y + G'z &= 0 +\\ +z &\in \mathcal{K}^* +\end{aligned}\]

where $\mathcal{K}^*$ is the dual cone of $\mathcal{K}$.

Model interface

Hypatia's Models module specifies a Model type corresponding to the primal conic form above:

  • $\mathcal{K}$ is a vector of Hypatia cones,
  • $c \in \mathbb{R}^n$, $b \in \mathbb{R}^p$, $h \in \mathbb{R}^q$ are vectors,
  • $A \in \mathbb{R}^{p \times n}$ and $G \in \mathbb{R}^{q \times n}$ are linear operators.

An objective offset can be specified using the keyword arg obj_offset (the default is 0). See Models module.

Polynomial utilities

The PolyUtils module provides tools for setting up polynomial interpolations for sum-of-squares models; see PolyUtils module.

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Note all diagonal elements must be present.\n\nPosSemidefTriSparse{T, R}(side::Int, rows::Vector{Int}, cols::Vector{Int}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.LinMatrixIneq","page":"Cones module","title":"Hypatia.Cones.LinMatrixIneq","text":"mutable struct LinMatrixIneq{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nLinear matrix inequality cone parametrized by list of real symmetric or complex Hermitian matrices mats of equal dimension.\n\nLinMatrixIneq{T}(mats::Vector, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiNormInf","page":"Cones module","title":"Hypatia.Cones.EpiNormInf","text":"mutable struct EpiNormInf{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of real or complex infinity norm cone of dimension dim.\n\nEpiNormInf{T, R}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiNormEucl","page":"Cones module","title":"Hypatia.Cones.EpiNormEucl","text":"mutable struct EpiNormEucl{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of Euclidean norm (AKA second-order) cone of dimension dim.\n\nEpiNormEucl{T}(dim::Int)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiPerSquare","page":"Cones module","title":"Hypatia.Cones.EpiPerSquare","text":"mutable struct EpiPerSquare{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of perspective function of halved squared Euclidean norm (AKA rotated second-order) cone of dimension dim.\n\nEpiPerSquare{T}(dim::Int)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiNormSpectralTri","page":"Cones module","title":"Hypatia.Cones.EpiNormSpectralTri","text":"mutable struct EpiNormSpectralTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of real symmetric or complex Hermitian matrix spectral norm (i.e. maximum absolute value of eigenvalues) cone of dimension dim in svec format.\n\nEpiNormSpectralTri{T, R}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiNormSpectral","page":"Cones module","title":"Hypatia.Cones.EpiNormSpectral","text":"mutable struct EpiNormSpectral{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of real or complex matrix spectral norm (i.e. maximum singular value) for a matrix (stacked column-wise) of nrows rows and ncols columns with nrows ≤ ncols.\n\nEpiNormSpectral{T, R}(nrows::Int, ncols::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.MatrixEpiPerSquare","page":"Cones module","title":"Hypatia.Cones.MatrixEpiPerSquare","text":"mutable struct MatrixEpiPerSquare{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nMatrix epigraph of perspective function of real or complex matrix outer product for a matrix (stacked column-wise) of nrows rows and ncols columns with nrows ≤ ncols.\n\nMatrixEpiPerSquare{T, R}(nrows::Int, ncols::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.GeneralizedPower","page":"Cones module","title":"Hypatia.Cones.GeneralizedPower","text":"mutable struct GeneralizedPower{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nGeneralized power cone parametrized by powers α in the unit simplex and dimension d of the normed variables.\n\nGeneralizedPower{T}(α::Vector{T}, d::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.HypoPowerMean","page":"Cones module","title":"Hypatia.Cones.HypoPowerMean","text":"mutable struct HypoPowerMean{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nHypograph of weighted power mean cone parametrized by powers α in the unit simplex.\n\nHypoPowerMean{T}(α::Vector{T}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.HypoGeoMean","page":"Cones module","title":"Hypatia.Cones.HypoGeoMean","text":"mutable struct HypoGeoMean{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nHypograph of geometric mean cone of dimension dim.\n\nHypoGeoMean{T}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.HypoRootdetTri","page":"Cones module","title":"Hypatia.Cones.HypoRootdetTri","text":"mutable struct HypoRootdetTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nHypograph of real symmetric or complex Hermitian root-determinant cone of dimension dim in svec format.\n\nHypoRootdetTri{T, R}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.HypoPerLog","page":"Cones module","title":"Hypatia.Cones.HypoPerLog","text":"mutable struct HypoPerLog{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nHypograph of perspective function of sum-log cone of dimension dim.\n\nHypoPerLog{T}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.HypoPerLogdetTri","page":"Cones module","title":"Hypatia.Cones.HypoPerLogdetTri","text":"mutable struct HypoPerLogdetTri{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nHypograph of perspective function of real symmetric or complex Hermitian log-determinant cone of dimension dim in svec format.\n\nHypoPerLogdetTri{T, R}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiPerSepSpectral","page":"Cones module","title":"Hypatia.Cones.EpiPerSepSpectral","text":"mutable struct EpiPerSepSpectral{Q<:Hypatia.Cones.ConeOfSquares, T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of perspective function of a convex separable spectral function h over a cone of squares Q on a Jordan algebra with rank d.\n\nEpiPerSepSpectral{Q, T}(h::Hypatia.Cones.SepSpectralFun, d::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiRelEntropy","page":"Cones module","title":"Hypatia.Cones.EpiRelEntropy","text":"mutable struct EpiRelEntropy{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of vector relative entropy cone of dimension dim.\n\nEpiRelEntropy{T}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.EpiTrRelEntropyTri","page":"Cones module","title":"Hypatia.Cones.EpiTrRelEntropyTri","text":"mutable struct EpiTrRelEntropyTri{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nEpigraph of matrix relative entropy cone of dimension dim in svec format.\n\nEpiTrRelEntropyTri{T}(dim::Int, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.WSOSInterpNonnegative","page":"Cones module","title":"Hypatia.Cones.WSOSInterpNonnegative","text":"mutable struct WSOSInterpNonnegative{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.Cone{T<:Real}\n\nInterpolant-basis weighted sum-of-squares polynomial cone of dimension U, for real or real-valued complex polynomials, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.\n\nWSOSInterpNonnegative{T, R}(U::Int, Ps::Vector{Matrix{R}}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.WSOSInterpPosSemidefTri","page":"Cones module","title":"Hypatia.Cones.WSOSInterpPosSemidefTri","text":"mutable struct WSOSInterpPosSemidefTri{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nInterpolant-basis weighted sum-of-squares polynomial (of dimension U) positive semidefinite matrix (of side dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.\n\nWSOSInterpPosSemidefTri{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.WSOSInterpEpiNormEucl","page":"Cones module","title":"Hypatia.Cones.WSOSInterpEpiNormEucl","text":"mutable struct WSOSInterpEpiNormEucl{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nInterpolant-basis weighted sum-of-squares polynomial (of dimension U) epigraph of ℓ₂ norm (of dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.\n\nWSOSInterpEpiNormEucl{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.WSOSInterpEpiNormOne","page":"Cones module","title":"Hypatia.Cones.WSOSInterpEpiNormOne","text":"mutable struct WSOSInterpEpiNormOne{T<:Real} <: Hypatia.Cones.Cone{T<:Real}\n\nInterpolant-basis weighted sum-of-squares polynomial (of dimension U) epigraph of ℓ₁ norm (of dimension R) cone, parametrized by vector of matrices Ps derived from interpolant basis and polynomial domain constraints.\n\nWSOSInterpEpiNormOne{T}(R::Int, U::Int, Ps::Vector{Matrix{T}}, use_dual::Bool = false)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Helpers-for-PosSemidefTriSparse","page":"Cones module","title":"Helpers for PosSemidefTriSparse","text":"","category":"section"},{"location":"api/cones/","page":"Cones module","title":"Cones module","text":"PSDSparseImpl\nPSDSparseDense\nPSDSparseCholmod","category":"page"},{"location":"api/cones/#Hypatia.Cones.PSDSparseImpl","page":"Cones module","title":"Hypatia.Cones.PSDSparseImpl","text":"abstract type PSDSparseImpl\n\nAn implementation type for the sparse positive semidefinite cone PosSemidefTriSparse.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.PSDSparseDense","page":"Cones module","title":"Hypatia.Cones.PSDSparseDense","text":"struct PSDSparseDense <: Hypatia.Cones.PSDSparseImpl\n\nDense Cholesky-based implementation for the sparse positive semidefinite cone PosSemidefTriSparse.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.PSDSparseCholmod","page":"Cones module","title":"Hypatia.Cones.PSDSparseCholmod","text":"struct PSDSparseDense <: Hypatia.Cones.PSDSparseImpl\n\nDense Cholesky-based implementation for the sparse positive semidefinite cone PosSemidefTriSparse.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#EpiPerSepSpectral-helpers","page":"Cones module","title":"EpiPerSepSpectral helpers","text":"","category":"section"},{"location":"api/cones/","page":"Cones module","title":"Cones module","text":"ConeOfSquares\nVectorCSqr\nMatrixCSqr\nvector_dim\nSepSpectralFun\nNegLogSSF\nNegEntropySSF\nNegSqrtSSF\nNegPower01SSF\nPower12SSF","category":"page"},{"location":"api/cones/#Hypatia.Cones.ConeOfSquares","page":"Cones module","title":"Hypatia.Cones.ConeOfSquares","text":"abstract type ConeOfSquares{T<:Real}\n\nA cone of squares on a Jordan algebra.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.VectorCSqr","page":"Cones module","title":"Hypatia.Cones.VectorCSqr","text":"struct VectorCSqr{T<:Real} <: Hypatia.Cones.ConeOfSquares{T<:Real}\n\nReal vector cone of squares.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.MatrixCSqr","page":"Cones module","title":"Hypatia.Cones.MatrixCSqr","text":"struct MatrixCSqr{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: Hypatia.Cones.ConeOfSquares{T<:Real}\n\nReal symmetric or complex Hermitian positive semidefinite cone of squares.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.vector_dim","page":"Cones module","title":"Hypatia.Cones.vector_dim","text":"vector_dim(\n _::Type{var\"#s68\"} where var\"#s68\"<:Hypatia.Cones.VectorCSqr,\n d::Int64\n) -> Int64\n\n\nThe rank of the vector cone of squares, equal to the vector length.\n\n\n\n\n\nvector_dim(\n _::Type{var\"#s67\"} where var\"#s67\"<:(Hypatia.Cones.MatrixCSqr{var\"#s66\", R} where var\"#s66\"<:Real),\n d::Int64\n) -> Int64\n\n\nThe rank of the matrix cone of squares, equal to the side dimension of the matrix.\n\n\n\n\n\n","category":"function"},{"location":"api/cones/#Hypatia.Cones.SepSpectralFun","page":"Cones module","title":"Hypatia.Cones.SepSpectralFun","text":"abstract type SepSpectralFun\n\nA univariate convex function defined on positive reals.\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.NegLogSSF","page":"Cones module","title":"Hypatia.Cones.NegLogSSF","text":"struct NegLogSSF <: Hypatia.Cones.SepSpectralFun\n\nThe negative logarithm function x to - log(x).\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.NegEntropySSF","page":"Cones module","title":"Hypatia.Cones.NegEntropySSF","text":"struct NegEntropySSF <: Hypatia.Cones.SepSpectralFun\n\nThe negative entropy function x to x log(x).\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.NegSqrtSSF","page":"Cones module","title":"Hypatia.Cones.NegSqrtSSF","text":"struct NegSqrtSSF <: Hypatia.Cones.SepSpectralFun\n\nThe negative square root function x to -x^12. Note this is a special case of the negative power: NegPower01SSF(0.5).\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.NegPower01SSF","page":"Cones module","title":"Hypatia.Cones.NegPower01SSF","text":"struct NegPower01SSF <: Hypatia.Cones.SepSpectralFun\n\nThe negative power function x to -x^p parametrized by p in (0 1)\n\n\n\n\n\n","category":"type"},{"location":"api/cones/#Hypatia.Cones.Power12SSF","page":"Cones module","title":"Hypatia.Cones.Power12SSF","text":"struct Power12SSF <: Hypatia.Cones.SepSpectralFun\n\nThe power function x to x^p parametrized by p in (1 2. Note for p = 2, it is more efficient to use EpiPerSquare.\n\n\n\n\n\n","category":"type"},{"location":"benchmarks/#Benchmarking-scripts","page":"Benchmarks","title":"Benchmarking scripts","text":"","category":"section"},{"location":"benchmarks/","page":"Benchmarks","title":"Benchmarks","text":"In the benchmarks folder, we have scripts for running performance benchmarks on instances derived from our examples. See Examples for descriptions of our examples, and see the examples folder for the instances, which are generated on-the-fly. The two types of benchmarks we run are:","category":"page"},{"location":"benchmarks/","page":"Benchmarks","title":"Benchmarks","text":"natural versus extended formulations, for a selection of examples; see natvsext,\nselected algorithmic options for the stepping procedures; see stepper.","category":"page"},{"location":"benchmarks/","page":"Benchmarks","title":"Benchmarks","text":"We also provide scripts to analyze the raw results output from the run scripts. See the READMEs for simple instructions for running these scripts on your machines. Each run script typically takes several days to complete if running all examples, and the analysis scripts only take seconds.","category":"page"},{"location":"api/polyutils/#PolyUtils-module","page":"PolyUtils module","title":"PolyUtils module","text":"","category":"section"},{"location":"api/polyutils/","page":"PolyUtils module","title":"PolyUtils module","text":"CurrentModule = Hypatia.PolyUtils","category":"page"},{"location":"api/polyutils/","page":"PolyUtils module","title":"PolyUtils module","text":"PolyUtils","category":"page"},{"location":"api/polyutils/#Hypatia.PolyUtils","page":"PolyUtils module","title":"Hypatia.PolyUtils","text":"Utilities for constructing interpolant-basis polynomial sum-of-squares models.\n\n\n\n\n\n","category":"module"},{"location":"api/polyutils/#Real-polynomial-domains","page":"PolyUtils module","title":"Real polynomial domains","text":"","category":"section"},{"location":"api/polyutils/","page":"PolyUtils module","title":"PolyUtils module","text":"Domain\ndimension\ndegree\nsample\nweights\nEllipsoidDomain\nBoxDomain\nBallDomain\nFreeDomain","category":"page"},{"location":"api/polyutils/#Hypatia.PolyUtils.Domain","page":"PolyUtils module","title":"Hypatia.PolyUtils.Domain","text":"abstract type Domain{T<:Real}\n\nReal domains for polynomial constraints.\n\n\n\n\n\n","category":"type"},{"location":"api/polyutils/#Hypatia.PolyUtils.dimension","page":"PolyUtils module","title":"Hypatia.PolyUtils.dimension","text":"dimension(dom)\n\n\nDimension of a domain.\n\n\n\n\n\n","category":"function"},{"location":"api/polyutils/#Hypatia.PolyUtils.degree","page":"PolyUtils module","title":"Hypatia.PolyUtils.degree","text":"degree(dom)\n\n\nDegree of a polynomial constraints defining a domain.\n\n\n\n\n\n","category":"function"},{"location":"api/polyutils/#Hypatia.PolyUtils.sample","page":"PolyUtils module","title":"Hypatia.PolyUtils.sample","text":"sample(dom, npts)\n\n\nSample npts points from the interior of the domain.\n\n\n\n\n\n","category":"function"},{"location":"api/polyutils/#Hypatia.PolyUtils.weights","page":"PolyUtils module","title":"Hypatia.PolyUtils.weights","text":"weights(dom, pts)\n\n\nEvaluations of the polynomial domain constraints at the points.\n\n\n\n\n\n","category":"function"},{"location":"api/polyutils/#Hypatia.PolyUtils.EllipsoidDomain","page":"PolyUtils module","title":"Hypatia.PolyUtils.EllipsoidDomain","text":"mutable struct EllipsoidDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}\n\nHyperellipse (x-c) Q (x-c) leq 1 with center c::Vector{T} and symmetric positive definite scaling/rotation matrix Q::AbstractMatrix{T}.\n\n\n\n\n\n","category":"type"},{"location":"api/polyutils/#Hypatia.PolyUtils.BoxDomain","page":"PolyUtils module","title":"Hypatia.PolyUtils.BoxDomain","text":"mutable struct BoxDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}\n\nHyperbox x l u with lower bounds l::Vector{T} and upper bounds u::Vector{T}.\n\n\n\n\n\n","category":"type"},{"location":"api/polyutils/#Hypatia.PolyUtils.BallDomain","page":"PolyUtils module","title":"Hypatia.PolyUtils.BallDomain","text":"mutable struct BallDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}\n\nEuclidean hyperball lVert (x-c) rVert_2 leq r with center c::Vector{T} and positive radius r::T.\n\n\n\n\n\n","category":"type"},{"location":"api/polyutils/#Hypatia.PolyUtils.FreeDomain","page":"PolyUtils module","title":"Hypatia.PolyUtils.FreeDomain","text":"mutable struct FreeDomain{T<:Real} <: Hypatia.PolyUtils.Domain{T<:Real}\n\nReal vectors x ℝⁿ of dimension n::Int.\n\n\n\n\n\n","category":"type"},{"location":"api/polyutils/#Interpolation","page":"PolyUtils module","title":"Interpolation","text":"","category":"section"},{"location":"api/polyutils/","page":"PolyUtils module","title":"PolyUtils module","text":"interpolate","category":"page"},{"location":"api/polyutils/#Hypatia.PolyUtils.interpolate","page":"PolyUtils module","title":"Hypatia.PolyUtils.interpolate","text":"interpolate(\n dom,\n d;\n calc_V,\n get_quadr,\n sample,\n sample_factor\n)\n\n\nCompute interpolation data for a real weighted sum-of-squares conic constraint on a domain.\n\n\n\n\n\ninterpolate(\n R,\n halfdeg,\n n,\n gs,\n g_halfdegs;\n sample_factor,\n use_qr\n)\n\n\nCompute interpolation data for a complex weighted sum-of-squares conic constraint on a domain.\n\n\n\n\n\n","category":"function"},{"location":"modeling/#Conic-models","page":"Modeling","title":"Conic models","text":"","category":"section"},{"location":"modeling/#Conic-form","page":"Modeling","title":"Conic form","text":"","category":"section"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"Any convex optimization problem may be represented as a conic problem that minimizes a linear function over the intersection of an affine subspace with a Cartesian product of primitive proper cones (i.e. irreducible, closed, convex, pointed, and full-dimensional conic sets). An advantage of using conic form is that a conic problem, if well-posed, has a very simple and easily checkable certificate of optimality, primal infeasibility, or dual infeasibility.","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"Hypatia's primal conic form over variable x in mathbbR^n is:","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"beginaligned\nmin quad cx \n\nb - Ax = 0\n\nh - Gx in mathcalK\nendaligned","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"where mathcalK is a proper cone.","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"The corresponding conic dual form over variables y in mathbbR^p and z in mathbbR^q is:","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"beginaligned\nmax quad -by - hz \n\nc + Ay + Gz = 0\n\nz in mathcalK^*\nendaligned","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"where mathcalK^* is the dual cone of mathcalK.","category":"page"},{"location":"modeling/#Model-interface","page":"Modeling","title":"Model interface","text":"","category":"section"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"CurrentModule = Hypatia.Models","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"Hypatia's Models module specifies a Model type corresponding to the primal conic form above:","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"mathcalK is a vector of Hypatia cones,\nc in mathbbR^n, b in mathbbR^p, h in mathbbR^q are vectors,\nA in mathbbR^p times n and G in mathbbR^q times n are linear operators.","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"An objective offset can be specified using the keyword arg obj_offset (the default is 0). See Models module.","category":"page"},{"location":"modeling/#Polynomial-utilities","page":"Modeling","title":"Polynomial utilities","text":"","category":"section"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"CurrentModule = Hypatia.PolyUtils","category":"page"},{"location":"modeling/","page":"Modeling","title":"Modeling","text":"The PolyUtils module provides tools for setting up polynomial interpolations for sum-of-squares models; see PolyUtils module.","category":"page"},{"location":"cones/#Cone-interface-and-predefined-cones","page":"Cones","title":"Cone interface and predefined cones","text":"","category":"section"},{"location":"cones/","page":"Cones","title":"Cones","text":"CurrentModule = Hypatia.Cones","category":"page"},{"location":"cones/#Generic-cone-interface","page":"Cones","title":"Generic cone interface","text":"","category":"section"},{"location":"cones/","page":"Cones","title":"Cones","text":"Hypatia's Cones module specifies a generic cone interface that allows defining new proper cones as subtypes of Cone. This requires implementing cone oracles as methods for the new cone type; see Cone oracles. The required oracles are:","category":"page"},{"location":"cones/","page":"Cones","title":"Cones","text":"an initial interior point inside the cone; see set_initial_point!,\na feasibility test, which checks whether a given point is in the interior of the cone; see is_feas,\ngradient and Hessian evaluations for a logarithmically homogeneous self-concordant barrier (LHSCB) function for the cone; see grad and hess.","category":"page"},{"location":"cones/","page":"Cones","title":"Cones","text":"Additional optional oracles can be specified to improve speed and numerical performance. Defining a new cone automatically defines its dual cone (through the use_dual option) also. See Hypatia's predefined cones in the cones folder for examples of how to implement a new cone type and efficient oracles. The implementations of the HypoPowerMean cone (which uses a primal LHSCB) and the WSOSInterpNonnegative cone (which uses a dual LHSCB) are fairly typical.","category":"page"},{"location":"cones/#Predefined-cones","page":"Cones","title":"Predefined cones","text":"","category":"section"},{"location":"cones/","page":"Cones","title":"Cones","text":"Hypatia predefines many proper cones that are practically useful; see Predefined cone types. These cones are used in Hypatia's Examples and native instances. These cones are also wrapped as MathOptInterface.AbstractVectorSet types and exported from Hypatia; see MathOptInterface cones.","category":"page"},{"location":"api/hypatia/#Hypatia-module","page":"Hypatia module","title":"Hypatia module","text":"","category":"section"},{"location":"api/hypatia/","page":"Hypatia module","title":"Hypatia module","text":"CurrentModule = Hypatia","category":"page"},{"location":"api/hypatia/","page":"Hypatia module","title":"Hypatia module","text":"Hypatia","category":"page"},{"location":"api/hypatia/#Hypatia.Hypatia","page":"Hypatia module","title":"Hypatia.Hypatia","text":"A Julia package for generic conic optimization with interior point algorithms.\n\n\n\n\n\n","category":"module"},{"location":"api/hypatia/#MathOptInterface-optimizer","page":"Hypatia module","title":"MathOptInterface optimizer","text":"","category":"section"},{"location":"api/hypatia/","page":"Hypatia module","title":"Hypatia module","text":"Optimizer","category":"page"},{"location":"api/hypatia/#Hypatia.Optimizer","page":"Hypatia module","title":"Hypatia.Optimizer","text":"mutable struct Optimizer{T<:Real} <: MathOptInterface.AbstractOptimizer\n\nA MathOptInterface optimizer type for Hypatia.\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#MathOptInterface-cones","page":"Hypatia module","title":"MathOptInterface cones","text":"","category":"section"},{"location":"api/hypatia/","page":"Hypatia module","title":"Hypatia module","text":"NonnegativeCone\nPosSemidefTriCone\nDoublyNonnegativeTriCone\nPosSemidefTriSparseCone\nLinMatrixIneqCone\nEpiNormInfCone\nEpiNormEuclCone\nEpiPerSquareCone\nEpiNormSpectralTriCone\nEpiNormSpectralCone\nMatrixEpiPerSquareCone\nGeneralizedPowerCone\nHypoPowerMeanCone\nHypoGeoMeanCone\nHypoRootdetTriCone\nHypoPerLogCone\nHypoPerLogdetTriCone\nEpiPerSepSpectralCone\nEpiRelEntropyCone\nEpiTrRelEntropyTriCone\nWSOSInterpNonnegativeCone\nWSOSInterpPosSemidefTriCone\nWSOSInterpEpiNormEuclCone\nWSOSInterpEpiNormOneCone","category":"page"},{"location":"api/hypatia/#Hypatia.NonnegativeCone","page":"Hypatia module","title":"Hypatia.NonnegativeCone","text":"struct NonnegativeCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.Nonnegative.\n\ndim::Int64\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.PosSemidefTriCone","page":"Hypatia module","title":"Hypatia.PosSemidefTriCone","text":"struct PosSemidefTriCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.PosSemidefTri.\n\ndim::Int64\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.DoublyNonnegativeTriCone","page":"Hypatia module","title":"Hypatia.DoublyNonnegativeTriCone","text":"struct DoublyNonnegativeTriCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.DoublyNonnegativeTri.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.PosSemidefTriSparseCone","page":"Hypatia module","title":"Hypatia.PosSemidefTriSparseCone","text":"struct PosSemidefTriSparseCone{I<:Hypatia.Cones.PSDSparseImpl, T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.PosSemidefTriSparse.\n\nside::Int64\nrow_idxs::Vector{Int64}\ncol_idxs::Vector{Int64}\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.LinMatrixIneqCone","page":"Hypatia module","title":"Hypatia.LinMatrixIneqCone","text":"struct LinMatrixIneqCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.LinMatrixIneq.\n\nAs::Vector{T} where T\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiNormInfCone","page":"Hypatia module","title":"Hypatia.EpiNormInfCone","text":"struct EpiNormInfCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiNormInf.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiNormEuclCone","page":"Hypatia module","title":"Hypatia.EpiNormEuclCone","text":"struct EpiNormEuclCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiNormEucl.\n\ndim::Int64\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiPerSquareCone","page":"Hypatia module","title":"Hypatia.EpiPerSquareCone","text":"struct EpiPerSquareCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiPerSquare.\n\ndim::Int64\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiNormSpectralTriCone","page":"Hypatia module","title":"Hypatia.EpiNormSpectralTriCone","text":"struct EpiNormSpectralTriCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiNormSpectralTri.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiNormSpectralCone","page":"Hypatia module","title":"Hypatia.EpiNormSpectralCone","text":"struct EpiNormSpectralCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiNormSpectral.\n\nd1::Int64\nd2::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.MatrixEpiPerSquareCone","page":"Hypatia module","title":"Hypatia.MatrixEpiPerSquareCone","text":"struct MatrixEpiPerSquareCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.MatrixEpiPerSquare.\n\nd1::Int64\nd2::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.GeneralizedPowerCone","page":"Hypatia module","title":"Hypatia.GeneralizedPowerCone","text":"struct GeneralizedPowerCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.GeneralizedPower.\n\nα::Vector{T} where T<:Real\nn::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.HypoPowerMeanCone","page":"Hypatia module","title":"Hypatia.HypoPowerMeanCone","text":"struct HypoPowerMeanCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.HypoPowerMean.\n\nα::Vector{T} where T<:Real\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.HypoGeoMeanCone","page":"Hypatia module","title":"Hypatia.HypoGeoMeanCone","text":"struct HypoGeoMeanCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.HypoGeoMean.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.HypoRootdetTriCone","page":"Hypatia module","title":"Hypatia.HypoRootdetTriCone","text":"struct HypoRootdetTriCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.HypoRootdetTri.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.HypoPerLogCone","page":"Hypatia module","title":"Hypatia.HypoPerLogCone","text":"struct HypoPerLogCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.HypoPerLog.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.HypoPerLogdetTriCone","page":"Hypatia module","title":"Hypatia.HypoPerLogdetTriCone","text":"struct HypoPerLogdetTriCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.HypoPerLogdetTri.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiPerSepSpectralCone","page":"Hypatia module","title":"Hypatia.EpiPerSepSpectralCone","text":"struct EpiPerSepSpectralCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiPerSepSpectral.\n\nh::Hypatia.Cones.SepSpectralFun\nQ::Type{var\"#s498\"} where {T<:Real, var\"#s498\"<:Hypatia.Cones.ConeOfSquares{T}}\nd::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiRelEntropyCone","page":"Hypatia module","title":"Hypatia.EpiRelEntropyCone","text":"struct EpiRelEntropyCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiRelEntropy.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.EpiTrRelEntropyTriCone","page":"Hypatia module","title":"Hypatia.EpiTrRelEntropyTriCone","text":"struct EpiTrRelEntropyTriCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.EpiTrRelEntropyTri.\n\ndim::Int64\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.WSOSInterpNonnegativeCone","page":"Hypatia module","title":"Hypatia.WSOSInterpNonnegativeCone","text":"struct WSOSInterpNonnegativeCone{T<:Real, R<:Union{Complex{T<:Real}, T<:Real}} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.WSOSInterpNonnegative.\n\nU::Int64\nPs::Array{Matrix{R}, 1} where {T<:Real, R<:Union{Complex{T}, T}}\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.WSOSInterpPosSemidefTriCone","page":"Hypatia module","title":"Hypatia.WSOSInterpPosSemidefTriCone","text":"struct WSOSInterpPosSemidefTriCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.WSOSInterpPosSemidefTri.\n\nR::Int64\nU::Int64\nPs::Array{Matrix{T}, 1} where T<:Real\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.WSOSInterpEpiNormEuclCone","page":"Hypatia module","title":"Hypatia.WSOSInterpEpiNormEuclCone","text":"struct WSOSInterpEpiNormEuclCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.WSOSInterpEpiNormEucl.\n\nR::Int64\nU::Int64\nPs::Array{Matrix{T}, 1} where T<:Real\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/hypatia/#Hypatia.WSOSInterpEpiNormOneCone","page":"Hypatia module","title":"Hypatia.WSOSInterpEpiNormOneCone","text":"struct WSOSInterpEpiNormOneCone{T<:Real} <: MathOptInterface.AbstractVectorSet\n\nSee Cones.WSOSInterpEpiNormOne.\n\nR::Int64\nU::Int64\nPs::Array{Matrix{T}, 1} where T<:Real\nuse_dual::Bool\n\n\n\n\n\n","category":"type"},{"location":"api/solvers/#Solvers-module","page":"Solvers module","title":"Solvers module","text":"","category":"section"},{"location":"api/solvers/","page":"Solvers module","title":"Solvers module","text":"See the Solving conic models section.","category":"page"},{"location":"api/solvers/","page":"Solvers module","title":"Solvers module","text":"CurrentModule = Hypatia.Solvers","category":"page"},{"location":"api/solvers/","page":"Solvers module","title":"Solvers module","text":"Solvers\nSolver","category":"page"},{"location":"api/solvers/#Hypatia.Solvers","page":"Solvers module","title":"Hypatia.Solvers","text":"Interior point algorithms for conic models.\n\n\n\n\n\n","category":"module"},{"location":"api/solvers/#Hypatia.Solvers.Solver","page":"Solvers module","title":"Hypatia.Solvers.Solver","text":"mutable struct Solver{T<:Real}\n\nHypatia's interior point solver type. See source for options and defaults.\n\n\n\n\n\n","category":"type"},{"location":"solving/#Solving-conic-models","page":"Solving","title":"Solving conic models","text":"","category":"section"},{"location":"solving/","page":"Solving","title":"Solving","text":"Hypatia can be accessed through a low-level native Julia interface or through open-source modeling tools such as JuMP and Convex.jl. The native interface is more expressive, allowing Hypatia to solve conic models expressed with generic real floating point types and structured matrices or linear operators, for example. However, it is typically sufficient and more convenient to use JuMP.","category":"page"},{"location":"solving/#Native-interface","page":"Solving","title":"Native interface","text":"","category":"section"},{"location":"solving/","page":"Solving","title":"Solving","text":"CurrentModule = Hypatia.Solvers","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"Hypatia's Solvers module provides a Solver type with low-level functions for solving models and querying solve information and conic certificates; see Solvers module.","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"Below is a simple example of a spectral norm optimization problem:","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"using LinearAlgebra\nimport Hypatia\nimport Hypatia.Cones\nimport Hypatia.Solvers\n\nT = BigFloat\n(Xn, Xm) = (3, 4)\ndim = Xn * Xm\nc = vcat(one(T), zeros(T, dim))\nA = hcat(zeros(T, dim, 1), Matrix{T}(I, dim, dim))\nb = rand(T, dim)\nG = -one(T) * I\nh = vcat(zero(T), rand(T, dim))\ncones = [Cones.EpiNormSpectral{T, T}(Xn, Xm)]\nmodel = Hypatia.Models.Model{T}(c, A, b, G, h, cones);","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"Now we call optimize and query the solution:","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"julia> solver = Solvers.Solver{T}(verbose = true);\n\n\njulia> Solvers.load(solver, model);\n\n\njulia> Solvers.solve(solver);\n\n iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res step alpha\n 0 2.0000e+00 0.0000e+00 | 4.00e+00 5.00e-01 6.14e-01 | 1.00e+00 1.00e+00 1.00e+00 |\n 1 2.5147e+00 2.2824e+00 | 1.07e+00 2.24e-01 2.74e-01 | 6.71e-01 7.44e-01 3.14e-01 | 3.45e-77 co-a 7.00e-01\n 2 3.0958e+00 3.0966e+00 | 3.39e-01 7.40e-02 9.08e-02 | 6.08e-01 2.70e-01 1.01e-01 | 1.73e-77 co-a 7.00e-01\n...\n 33 3.2962e+00 3.2962e+00 | 1.33e-30 1.86e-30 2.29e-30 | 2.21e-01 1.88e-30 3.50e-31 | 4.85e-50 co-a 5.00e-01\n 34 3.2962e+00 3.2962e+00 | 2.29e-31 2.77e-31 3.40e-31 | 2.23e-01 1.56e-31 5.28e-32 | 2.70e-48 co-a 8.50e-01\n 35 3.2962e+00 3.2962e+00 | 7.32e-32 1.21e-31 1.49e-31 | 2.04e-01 1.15e-31 1.93e-32 | 2.52e-49 co-a 6.00e-01\noptimal solution found; terminating\n\nstatus is Optimal after 35 iterations and 1.417 seconds\n\njulia> Solvers.get_status(solver)\nOptimal::Status = 3\n\njulia> Solvers.get_primal_obj(solver)\n3.296219213377718379486912616497183695150874915748434424139285907044225666610375\n\njulia> Solvers.get_dual_obj(solver)\n3.29621921337771837948691261649702242580041815859477664034990154727149325280482\n\njulia> Solvers.get_x(solver)\n13-element Vector{BigFloat}:\n 3.296219213377718379486912616497183695150874915748434424139285907044225666610375\n 0.2014951884389319019635492500560556305705409904059068283971229702024509946542355\n 0.2974304558864173403751380894865665103907350340298129119333915978313596204101965\n...\n 0.5076818262444516526146124557277599761994226912376378984924714206880970861448005\n 0.4719189060586783692091058031965586401783925037880741775651825386863356120491953\n 0.6377366379371803537625028513405673487028387050401566067448589228065218202592247","category":"page"},{"location":"solving/#MathOptInterface-and-JuMP","page":"Solving","title":"MathOptInterface and JuMP","text":"","category":"section"},{"location":"solving/","page":"Solving","title":"Solving","text":"CurrentModule = Hypatia","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"JuMP is generally more user-friendly than Hypatia's native interface, though it may make sense to try the more-expressive native interface for large dense or structured models. Hypatia exports MathOptInterface wrappers for Hypatia's solver (see Optimizer) and predefined cones (see MathOptInterface cones).","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"Below is a simple example from D-optimal experiment design:","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"using LinearAlgebra\nusing JuMP\nusing Hypatia\n\nopt = Hypatia.Optimizer(verbose = false)\nmodel = Model(() -> opt)\n@variable(model, x[1:3] >= 0)\n@constraint(model, sum(x) == 5)\n@variable(model, hypo)\n@objective(model, Max, hypo)\nV = rand(2, 3)\nQ = V * diagm(x) * V'\naff = vcat(hypo, [Q[i, j] for i in 1:2 for j in 1:i]...)\n@constraint(model, aff in MOI.RootDetConeTriangle(2))","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"The model is now:","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"julia> model\nA JuMP Model\nMaximization problem with:\nVariables: 4\nObjective function type: VariableRef\n`AffExpr`-in-`MathOptInterface.EqualTo{Float64}`: 1 constraint\n`Vector{AffExpr}`-in-`MathOptInterface.RootDetConeTriangle`: 1 constraint\n`VariableRef`-in-`MathOptInterface.GreaterThan{Float64}`: 3 constraints\nModel mode: AUTOMATIC\nCachingOptimizer state: EMPTY_OPTIMIZER\nSolver name: Hypatia\nNames registered in the model: hypo, x","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"Now we call optimize and query the solution:","category":"page"},{"location":"solving/","page":"Solving","title":"Solving","text":"julia> optimize!(model)\n\n\njulia> termination_status(model)\nOPTIMAL::TerminationStatusCode = 1\n\njulia> objective_value(model)\n1.4303650845824805\n\njulia> value.(x)\n3-element Vector{Float64}:\n 2.499999987496876\n 2.499999992300735\n 2.0202389761081463e-8","category":"page"},{"location":"examples/#Examples","page":"Examples","title":"Examples","text":"","category":"section"},{"location":"examples/","page":"Examples","title":"Examples","text":"See the Hypatia examples folder for example models and corresponding test/benchmark instances. Most examples have options for instance sizes/characteristics and formulation variants. See the example files for more information and references. Most example models use JuMP, and some use Hypatia's native interface. New examples are welcomed and should be implemented similarly to the existing examples and linked from this page.","category":"page"},{"location":"examples/","page":"Examples","title":"Examples","text":"CBLIB. Run a given CBLIB instance from the Conic Benchmark Library.\nCentral polynomial matrix. Minimize a spectral function of a gram matrix of a polynomial.\nClassical-quantum capacity. Compute the capacity of a classical-to-quantum channel.\nCondition number. Minimize the condition number of a matrix pencil subject to a linear matrix inequality.\nContraction analysis. Find a contraction metric that guarantees global stability of a dynamical system.\nConvexity parameter. Find the strong convexity parameter of a polynomial function over a domain.\nCovariance estimation. Estimate a covariance matrix that satisfies some given prior information and minimizes a given convex spectral function.\nDensity estimation. Find a valid polynomial density function maximizing the likelihood of a set of observations.\nDiscrete maximum likelihood. Maximize the likelihood of some observations at discrete points, subject to the probability vector being close to a uniform prior.\nD-optimal design. Solve a D-optimal experiment design problem, i.e. maximize the determinant of the information matrix subject to side constraints.\nEntanglement-assisted capacity. Compute the entanglement-assisted classical capacity of a quantum channel.\nExperiment design. Solve a general experiment design problem that minimizes a given convex spectral function of the information matrix subject to side constraints.\nLinear program. Solve a simple linear program.\nLotka-Volterra. Find an optimal controller for a Lotka-Volterra model of population dynamics.\nLyapunov stability. Minimize an upper bound on the root mean square gain of a dynamical system.\nMatrix completion. Complete a rectangular matrix by minimizing the nuclear norm and constraining the missing entries.\nMatrix quadratic. Find a rectangular matrix that minimizes a linear function and satisfies a constraint on the outer product of the matrix.\nMatrix regression. Solve a multiple-output (or matrix) regression problem with regularization terms (such as ell_1, ell_2, or nuclear norm).\nMaximum volume hypercube. Find a maximum volume hypercube (with edges parallel to the axes) inside a given polyhedron or ellipsoid.\nNearest correlation matrix. Compute the nearest correlation matrix in the quantum relative entropy sense.\nNearest polynomial matrix. Given a symmetric matrix of polynomials H, find a polynomial matrix Q that minimizes the sum of the integrals of its elements over the unit box and guarantees Q - H is pointwise PSD on the unit box.\nNearest PSD matrix. Find a sparse PSD matrix or a PSD-completable matrix (with a given sparsity pattern) with constant trace that maximizes a linear function.\nNonparametric distribution. Given a random variable taking values in a finite set, compute the distribution minimizing a given convex spectral function over all distributions satisfying some prior information.\nNorm cone polynomial. Given a vector of polynomials, check a sufficient condition for pointwise membership in the epigraph of the ell_1 or ell_2 norm.\nPolynomial envelope. Find a polynomial that closely approximates, over the unit box, the lower envelope of a given list of polynomials.\nPolynomial minimization. Compute a lower bound for a given polynomial over a given semialgebraic set.\nPolynomial norm. Find a polynomial that, over the unit box, has minimal integral and belongs pointwise to the epigraph of the ell_1 or ell_2 norm of other given polynomials.\nPortfolio. Maximize the expected returns of a stock portfolio and satisfy various risk constraints.\nRegion of attraction. Find the region of attraction of a polynomial control system.\nRelative entropy of entanglement. Compute a lower bound on relative entropy of entanglement with a positive partial transpose relaxation.\nRobust geometric programming. Bound the worst-case optimal value of an uncertain signomial function with a given coefficient uncertainty set.\nSemidefinite polynomial matrix. Check a sufficient condition for global convexity of a given polynomial.\nShape constrained regression. Given a dataset, fit a polynomial function that satisfies shape constraints such as monotonicity or convexity over a domain.\nSignomial minimization. Compute a global lower bound for a given signomial function.\nSparse LMI. Optimize over a simple linear matrix inequality with sparse data.\nSparse principal components. Solve a convex relaxation of the problem of approximating a symmetric matrix by a rank-one matrix with a cardinality-constrained eigenvector.\nStability number. Given a graph, solve for a particular strengthening of the theta function towards the stability number.","category":"page"},{"location":"#Hypatia","page":"Home","title":"Hypatia","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Hypatia is a highly-customizable interior point solver for generic conic optimization problems, written in Julia. It is licensed under the MIT License; see LICENSE.","category":"page"},{"location":"","page":"Home","title":"Home","text":"See the README for a quick-start introduction. For more information about Hypatia's algorithms and cones, please see our working paper and cones reference.","category":"page"},{"location":"#Installation","page":"Home","title":"Installation","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"To use Hypatia, install Julia, then at the Julia REPL, type:","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Pkg\nPkg.add(\"Hypatia\")\nusing Hypatia","category":"page"},{"location":"","page":"Home","title":"Home","text":"Hypatia is an experimental solver and a work in progress, and may not run with older releases of Julia. Default options/parameters are not well-tuned, so we encourage you to experiment with these.","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Hypatia can be accessed through a low-level native Julia interface or through open-source modeling tools such as JuMP and Convex.jl. The native interface is more expressive, allowing Hypatia to solve conic models expressed with generic real floating point types and structured matrices or linear operators, for example. However, it is typically sufficient and more convenient to use JuMP.","category":"page"},{"location":"api/models/#Models-module","page":"Models module","title":"Models module","text":"","category":"section"},{"location":"api/models/","page":"Models module","title":"Models module","text":"See the Conic models section.","category":"page"},{"location":"api/models/","page":"Models module","title":"Models module","text":"CurrentModule = Hypatia.Models","category":"page"},{"location":"api/models/","page":"Models module","title":"Models module","text":"Models\nModel","category":"page"},{"location":"api/models/#Hypatia.Models","page":"Models module","title":"Hypatia.Models","text":"Conic models and utilities.\n\n\n\n\n\n","category":"module"},{"location":"api/models/#Hypatia.Models.Model","page":"Models module","title":"Hypatia.Models.Model","text":"mutable struct Model{T<:Real}\n\nConic model corresponding to Hypatia's primal general conic form.\n\n\n\n\n\n","category":"type"}] +} diff --git a/v0.7.4/siteinfo.js b/v0.7.4/siteinfo.js new file mode 100644 index 000000000..f7d220ea4 --- /dev/null +++ b/v0.7.4/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "v0.7.4"; diff --git a/v0.7.4/solving/index.html b/v0.7.4/solving/index.html new file mode 100644 index 000000000..799baa9c9 --- /dev/null +++ b/v0.7.4/solving/index.html @@ -0,0 +1,90 @@ + +Solving · Hypatia
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Solving conic models

Hypatia can be accessed through a low-level native Julia interface or through open-source modeling tools such as JuMP and Convex.jl. The native interface is more expressive, allowing Hypatia to solve conic models expressed with generic real floating point types and structured matrices or linear operators, for example. However, it is typically sufficient and more convenient to use JuMP.

Native interface

Hypatia's Solvers module provides a Solver type with low-level functions for solving models and querying solve information and conic certificates; see Solvers module.

Below is a simple example of a spectral norm optimization problem:

using LinearAlgebra
+import Hypatia
+import Hypatia.Cones
+import Hypatia.Solvers
+
+T = BigFloat
+(Xn, Xm) = (3, 4)
+dim = Xn * Xm
+c = vcat(one(T), zeros(T, dim))
+A = hcat(zeros(T, dim, 1), Matrix{T}(I, dim, dim))
+b = rand(T, dim)
+G = -one(T) * I
+h = vcat(zero(T), rand(T, dim))
+cones = [Cones.EpiNormSpectral{T, T}(Xn, Xm)]
+model = Hypatia.Models.Model{T}(c, A, b, G, h, cones);

Now we call optimize and query the solution:

julia> solver = Solvers.Solver{T}(verbose = true);
+
+
+julia> Solvers.load(solver, model);
+
+
+julia> Solvers.solve(solver);
+
+ iter        p_obj        d_obj |  abs_gap    x_feas    z_feas |      tau       kap        mu |  dir_res  step     alpha
+    0   2.0000e+00   0.0000e+00 | 4.00e+00  5.00e-01  6.14e-01 | 1.00e+00  1.00e+00  1.00e+00 |
+    1   2.5147e+00   2.2824e+00 | 1.07e+00  2.24e-01  2.74e-01 | 6.71e-01  7.44e-01  3.14e-01 | 3.45e-77  co-a  7.00e-01
+    2   3.0958e+00   3.0966e+00 | 3.39e-01  7.40e-02  9.08e-02 | 6.08e-01  2.70e-01  1.01e-01 | 1.73e-77  co-a  7.00e-01
+...
+   33   3.2962e+00   3.2962e+00 | 1.33e-30  1.86e-30  2.29e-30 | 2.21e-01  1.88e-30  3.50e-31 | 4.85e-50  co-a  5.00e-01
+   34   3.2962e+00   3.2962e+00 | 2.29e-31  2.77e-31  3.40e-31 | 2.23e-01  1.56e-31  5.28e-32 | 2.70e-48  co-a  8.50e-01
+   35   3.2962e+00   3.2962e+00 | 7.32e-32  1.21e-31  1.49e-31 | 2.04e-01  1.15e-31  1.93e-32 | 2.52e-49  co-a  6.00e-01
+optimal solution found; terminating
+
+status is Optimal after 35 iterations and 1.417 seconds
+
+julia> Solvers.get_status(solver)
+Optimal::Status = 3
+
+julia> Solvers.get_primal_obj(solver)
+3.296219213377718379486912616497183695150874915748434424139285907044225666610375
+
+julia> Solvers.get_dual_obj(solver)
+3.29621921337771837948691261649702242580041815859477664034990154727149325280482
+
+julia> Solvers.get_x(solver)
+13-element Vector{BigFloat}:
+ 3.296219213377718379486912616497183695150874915748434424139285907044225666610375
+ 0.2014951884389319019635492500560556305705409904059068283971229702024509946542355
+ 0.2974304558864173403751380894865665103907350340298129119333915978313596204101965
+...
+ 0.5076818262444516526146124557277599761994226912376378984924714206880970861448005
+ 0.4719189060586783692091058031965586401783925037880741775651825386863356120491953
+ 0.6377366379371803537625028513405673487028387050401566067448589228065218202592247

MathOptInterface and JuMP

JuMP is generally more user-friendly than Hypatia's native interface, though it may make sense to try the more-expressive native interface for large dense or structured models. Hypatia exports MathOptInterface wrappers for Hypatia's solver (see Optimizer) and predefined cones (see MathOptInterface cones).

Below is a simple example from D-optimal experiment design:

using LinearAlgebra
+using JuMP
+using Hypatia
+
+opt = Hypatia.Optimizer(verbose = false)
+model = Model(() -> opt)
+@variable(model, x[1:3] >= 0)
+@constraint(model, sum(x) == 5)
+@variable(model, hypo)
+@objective(model, Max, hypo)
+V = rand(2, 3)
+Q = V * diagm(x) * V'
+aff = vcat(hypo, [Q[i, j] for i in 1:2 for j in 1:i]...)
+@constraint(model, aff in MOI.RootDetConeTriangle(2))

The model is now:

julia> model
+A JuMP Model
+Maximization problem with:
+Variables: 4
+Objective function type: VariableRef
+`AffExpr`-in-`MathOptInterface.EqualTo{Float64}`: 1 constraint
+`Vector{AffExpr}`-in-`MathOptInterface.RootDetConeTriangle`: 1 constraint
+`VariableRef`-in-`MathOptInterface.GreaterThan{Float64}`: 3 constraints
+Model mode: AUTOMATIC
+CachingOptimizer state: EMPTY_OPTIMIZER
+Solver name: Hypatia
+Names registered in the model: hypo, x

Now we call optimize and query the solution:

julia> optimize!(model)
+
+
+julia> termination_status(model)
+OPTIMAL::TerminationStatusCode = 1
+
+julia> objective_value(model)
+1.4303650845824805
+
+julia> value.(x)
+3-element Vector{Float64}:
+ 2.499999987496876
+ 2.499999992300735
+ 2.0202389761081463e-8
diff --git a/versions.js b/versions.js index c77a17648..f85d6c768 100644 --- a/versions.js +++ b/versions.js @@ -5,5 +5,5 @@ var DOC_VERSIONS = [ "v0.5", "dev", ]; -var DOCUMENTER_NEWEST = "v0.7.3"; +var DOCUMENTER_NEWEST = "v0.7.4"; var DOCUMENTER_STABLE = "stable";