From 9e6b567aac0901b97829ac331041d35f390fb321 Mon Sep 17 00:00:00 2001 From: Oscar Dowson Date: Sat, 15 Aug 2026 09:49:26 +1200 Subject: [PATCH] Prep for v1.9 --- schemas/mof.1.9.schema.json | 210 ++++++++++++++++++------------------ 1 file changed, 105 insertions(+), 105 deletions(-) diff --git a/schemas/mof.1.9.schema.json b/schemas/mof.1.9.schema.json index bf9fea9..ea11208 100644 --- a/schemas/mof.1.9.schema.json +++ b/schemas/mof.1.9.schema.json @@ -34,7 +34,7 @@ "required": ["name"], "properties": { "name": { - "description": "A unique name for the variable", + "description": "A unique name for the variable.", "type": "string" }, "primal_start": { @@ -176,7 +176,7 @@ } } }, { - "description": "Binary operators", + "description": "Binary operators.", "type": "object", "required": ["type", "args"], "properties": { @@ -191,7 +191,7 @@ } } }, { - "description": "N-ary operators", + "description": "N-ary operators.", "type": "object", "required": ["type", "args"], "properties": { @@ -205,8 +205,8 @@ } } }, { - "description": "A real-valued numeric constant", - "examples": ["{\"type\": \"real\", \"value\": 1.0}"], + "description": "A real-valued numeric constant.", + "examples": ["`{\"type\": \"real\", \"value\": 1.0}`"], "type": "object", "required": ["type", "value"], "properties": { @@ -214,8 +214,8 @@ "value": {"type": "number"} } }, { - "description": "A complex-valued numeric constant", - "examples": ["{\"type\": \"complex\", \"real\": 1.0, \"imag\": 2.0}"], + "description": "A complex-valued numeric constant.", + "examples": ["`{\"type\": \"complex\", \"real\": 1.0, \"imag\": 2.0}`"], "type": "object", "required": ["type", "real", "imag"], "properties": { @@ -224,8 +224,8 @@ "imag": {"type": "number"} } }, { - "description": "A reference to an optimization variable", - "examples": ["{\"type\": \"variable\", \"name\": \"x\"}"], + "description": "A reference to an optimization variable.", + "examples": ["`{\"type\": \"variable\", \"name\": \"x\"}`"], "type": "object", "required": ["type", "name"], "properties": { @@ -233,8 +233,8 @@ "name": {"type": "string"} } }, { - "description": "A pointer to a (1-indexed) element in the `node_list` field in a nonlinear function", - "examples": ["{\"type\": \"node\", \"index\": 2}"], + "description": "A pointer to a (1-indexed) element in the `node_list` field in a nonlinear function.", + "examples": ["`{\"type\": \"node\", \"index\": 2}`"], "type": "object", "required": ["type", "index"], "properties": { @@ -242,11 +242,11 @@ "index": {"type": "integer", "minimum": 1} } }, { - "description": "A reference to an optimization variable", + "description": "A reference to an optimization variable.", "examples": ["\"x\""], "type": "string" }, { - "description": "A real-valued numeric constant", + "description": "A real-valued numeric constant.", "examples": [1.0], "type": "number" }] @@ -257,7 +257,7 @@ "required": ["type"], "oneOf": [{ "description": "The scalar variable `x`.", - "examples": ["{\"type\": \"Variable\", \"name\": \"x\"}"], + "examples": ["`{\"type\": \"Variable\", \"name\": \"x\"}`"], "required": ["name"], "properties": { "type": {"const": "Variable"}, @@ -265,7 +265,7 @@ } }, { "description": "The function `a'x + b`, where `a` is a sparse vector specified by a list of `ScalarAffineTerm`s in `terms` and `b` is the scalar in `constant`. Duplicate variables in `terms` are accepted, and the corresponding coefficients are summed together.", - "examples": ["{\"type\": \"ScalarAffineFunction\", \"constant\": 1.0, \"terms\": [{\"coefficient\": 2.5, \"variable\": \"x\"}]}"], + "examples": ["`{\"type\": \"ScalarAffineFunction\", \"constant\": 1.0, \"terms\": [{\"coefficient\": 2.5, \"variable\": \"x\"}]}`"], "required": ["constant", "terms"], "properties": { "type": {"const": "ScalarAffineFunction"}, @@ -277,7 +277,7 @@ } }, { "description": "The function `0.5x'Qx + a'x + b`, where `a` is a sparse vector of `ScalarAffineTerm`s in `affine_terms`, `b` is the scalar `constant`, and `Q` is a symmetric matrix specified by a list of `ScalarQuadraticTerm`s in `quadratic_terms`. Duplicate indices in `affine_terms` and `quadratic` are accepted, and the corresponding coefficients are summed together. Mirrored indices in `quadratic_terms` (i.e., `(i,j)` and `(j, i)`) are considered duplicates; only one need to be specified.", - "examples": ["{\"type\": \"ScalarQuadraticFunction\", \"constant\": 1.0, \"affine_terms\": [{\"coefficient\": 2.5, \"variable\": \"x\"}], \"quadratic_terms\": [{\"coefficient\": 2.0, \"variable_1\": \"x\", \"variable_2\": \"y\"}]}"], + "examples": ["`{\"type\": \"ScalarQuadraticFunction\", \"constant\": 1.0, \"affine_terms\": [{\"coefficient\": 2.5, \"variable\": \"x\"}], \"quadratic_terms\": [{\"coefficient\": 2.0, \"variable_1\": \"x\", \"variable_2\": \"y\"}]}`"], "required": ["constant", "affine_terms", "quadratic_terms"], "properties": { "type": {"const": "ScalarQuadraticFunction"}, @@ -310,7 +310,7 @@ "required": ["type"], "oneOf": [{ "description": "An ordered list of variables.", - "examples": ["{\"type\": \"VectorOfVariables\", \"variables\": [\"x\", \"y\"]}"], + "examples": ["`{\"type\": \"VectorOfVariables\", \"variables\": [\"x\", \"y\"]}`"], "required": ["variables"], "properties": { "type": {"const": "VectorOfVariables"}, @@ -318,7 +318,7 @@ } }, { "description": "The function `Ax + b`, where `A` is a sparse matrix specified by a list of `VectorAffineTerm`s in `terms` and `b` is a dense vector specified by `constants`.", - "examples": ["{\"type\": \"VectorAffineFunction\", \"constants\": [1.0], \"terms\": [{\"output_index\": 1, \"scalar_term\": {\"coefficient\": 2.5, \"variable\": \"x\"}}]}"], + "examples": ["`{\"type\": \"VectorAffineFunction\", \"constants\": [1.0], \"terms\": [{\"output_index\": 1, \"scalar_term\": {\"coefficient\": 2.5, \"variable\": \"x\"}}]}`"], "required": ["constants", "terms"], "properties": { "type": {"const": "VectorAffineFunction"}, @@ -364,32 +364,32 @@ "type": "object", "required": ["type"], "oneOf": [{ - "description": "(-∞, upper]", - "examples": ["{\"type\": \"LessThan\", \"upper\": 2.1}"], + "description": "`(-∞, upper]`", + "examples": ["`{\"type\": \"LessThan\", \"upper\": 2.1}`"], "required": ["upper"], "properties": { "type": {"const": "LessThan"}, "upper": {"type": "number"} } }, { - "description": "[lower, ∞)", - "examples": ["{\"type\": \"GreaterThan\", \"lower\": 2.1}"], + "description": "`[lower, ∞)`", + "examples": ["`{\"type\": \"GreaterThan\", \"lower\": 2.1}`"], "required": ["lower"], "properties": { "type": {"const": "GreaterThan"}, "lower": {"type": "number"} } }, { - "description": "{value}", - "examples": ["{\"type\": \"EqualTo\", \"value\": 2.1}"], + "description": "`{value}`", + "examples": ["`{\"type\": \"EqualTo\", \"value\": 2.1}`"], "required": ["value"], "properties": { "type": {"const": "EqualTo"}, "value": {"type": "number"} } }, { - "description": "[lower, upper]", - "examples": ["{\"type\": \"Interval\", \"lower\": 2.1, \"upper\": 3.4}"], + "description": "`[lower, upper]`", + "examples": ["`{\"type\": \"Interval\", \"lower\": 2.1, \"upper\": 3.4}`"], "required": ["lower", "upper"], "properties": { "type": {"const": "Interval"}, @@ -397,8 +397,8 @@ "upper": {"type": "number"} } }, { - "description": "{0} ∪ {lower, lower + 1, ..., upper}", - "examples": ["{\"type\": \"Semiinteger\", \"lower\": 2, \"upper\": 4}"], + "description": "`{0} ∪ {lower, lower + 1, ..., upper}`", + "examples": ["`{\"type\": \"Semiinteger\", \"lower\": 2, \"upper\": 4}`"], "required": ["lower", "upper"], "properties": { "type": {"const": "Semiinteger"}, @@ -406,8 +406,8 @@ "upper": {"type": "number"} } }, { - "description": "{0} ∪ [lower, upper]", - "examples": ["{\"type\": \"Semicontinuous\", \"lower\": 2.1, \"upper\": 3.4}"], + "description": "`{0} ∪ [lower, upper]`", + "examples": ["`{\"type\": \"Semicontinuous\", \"lower\": 2.1, \"upper\": 3.4}`"], "required": ["lower", "upper"], "properties": { "type": {"const": "Semicontinuous"}, @@ -415,20 +415,20 @@ "upper": {"type": "number"} } }, { - "description": "{0, 1}", - "examples": ["{\"type\": \"ZeroOne\"}"], + "description": "`{0, 1}`", + "examples": ["`{\"type\": \"ZeroOne\"}`"], "properties": { "type": {"const": "ZeroOne"} } }, { - "description": "ℤ", - "examples": ["{\"type\": \"Integer\"}"], + "description": "`ℤ`", + "examples": ["`{\"type\": \"Integer\"}`"], "properties": { "type": {"const": "Integer"} } }, { - "description": "{value}", - "examples": ["{\"type\": \"Parameter\", \"value\": 2.1}"], + "description": "`{value}`", + "examples": ["`{\"type\": \"Parameter\", \"value\": 2.1}`"], "required": ["value"], "properties": { "type": {"const": "Parameter"}, @@ -441,40 +441,40 @@ "type": "object", "required": ["type"], "oneOf": [{ - "description": "R^{dimension}", - "examples": ["{\"type\": \"Reals\", \"dimension\": 3}"], + "description": "`R^{dimension}`", + "examples": ["`{\"type\": \"Reals\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "Reals"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "{0}^{dimension}", - "examples": ["{\"type\": \"Zeros\", \"dimension\": 3}"], + "description": "`{0}^{dimension}`", + "examples": ["`{\"type\": \"Zeros\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "Zeros"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "R₋^{dimension}", - "examples": ["{\"type\": \"Nonpositives\", \"dimension\": 3}"], + "description": "`R₋^{dimension}`", + "examples": ["`{\"type\": \"Nonpositives\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "Nonpositives"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "R₊^{dimension}", - "examples": ["{\"type\": \"Nonnegatives\", \"dimension\": 3}"], + "description": "`R₊^{dimension}`", + "examples": ["`{\"type\": \"Nonnegatives\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "Nonnegatives"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "x ∈ {R^d: x_i ∈ [lower_i, upper_i]}", - "examples": ["{\"type\": \"HyperRectangle\", \"lower\": [0, 0], \"upper\": [1, 1]}"], + "description": "`x ∈ {R^d: x_i ∈ [lower_i, upper_i]}`", + "examples": ["`{\"type\": \"HyperRectangle\", \"lower\": [0, 0], \"upper\": [1, 1]}`"], "required": ["lower", "upper"], "properties": { "type": {"const": "HyperRectangle"}, @@ -482,44 +482,44 @@ "upper": {"type": "array", "items": {"type": "number"}} } }, { - "description": "[t, x] ∈ {R^{dimension} : t ≥ ||x||₂}", - "examples": ["{\"type\": \"SecondOrderCone\", \"dimension\": 3}"], + "description": "`(t, x) ∈ {R^{dimension} : t ≥ ||x||₂}`", + "examples": ["`{\"type\": \"SecondOrderCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "SecondOrderCone"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "[t, u, x] ∈ {R^{dimension} : 2tu ≥ (||x||₂)²; t, u ≥ 0}", - "examples": ["{\"type\": \"RotatedSecondOrderCone\", \"dimension\": 3}"], + "description": "`(t, u, x) ∈ {R^{dimension} : 2tu ≥ (||x||₂)²; t, u ≥ 0}`", + "examples": ["`{\"type\": \"RotatedSecondOrderCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "RotatedSecondOrderCone"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "[x, y, z] ∈ {R³: y * exp(x / y) ≤ z, y ≥ 0}", - "examples": ["{\"type\": \"ExponentialCone\"}"], + "description": "`(x, y, z) ∈ {R³: y * exp(x / y) ≤ z, y > 0}`", + "examples": ["`{\"type\": \"ExponentialCone\"}`"], "properties": { "type": {"const": "ExponentialCone"} } }, { - "description": "[u, v, w] ∈ {R³: -u * exp(v / u) ≤ exp(1) * w, u < 0}", - "examples": ["{\"type\": \"DualExponentialCone\"}"], + "description": "`(u, v, w) ∈ {R³: -u * exp(v / u) ≤ exp(1) * w, u < 0}`", + "examples": ["`{\"type\": \"DualExponentialCone\"}`"], "properties": { "type": {"const": "DualExponentialCone"} } }, { - "description": "[x, y, z] ∈ {R³: x^{exponent} y^{1-exponent} ≥ |z|; x, y ≥ 0}", - "examples": ["{\"type\": \"PowerCone\", \"exponent\": 2.0}"], + "description": "`(x, y, z) ∈ {R³: x^{exponent} y^{1-exponent} ≥ |z|; x, y ≥ 0}`", + "examples": ["`{\"type\": \"PowerCone\", \"exponent\": 2.0}`"], "required": ["exponent"], "properties": { "type": {"const": "PowerCone"}, "exponent": {"type": "number"} } }, { - "description": "[u, v, w] ∈ {R³: (u / exponent)^{exponent} (v / (1-exponent))^{1-exponent} ≥ |w|; u, v ≥ 0}", - "examples": ["{\"type\": \"DualPowerCone\", \"exponent\": 2.0}"], + "description": "`(u, v, w) ∈ {R³: (u / exponent)^{exponent} (v / (1-exponent))^{1-exponent} ≥ |w|; u, v ≥ 0}`", + "examples": ["`{\"type\": \"DualPowerCone\", \"exponent\": 2.0}`"], "required": ["exponent"], "properties": { "type": {"const": "DualPowerCone"}, @@ -527,7 +527,7 @@ } }, { "description": "The (vectorized) cone of symmetric positive semidefinite matrices, with `side_dimension` rows and columns. The entries of the upper-right triangular part of the matrix are given column by column (or equivalently, the entries of the lower-left triangular part are given row by row).", - "examples": ["{\"type\": \"PositiveSemidefiniteConeTriangle\", \"side_dimension\": 2}"], + "examples": ["`{\"type\": \"PositiveSemidefiniteConeTriangle\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "PositiveSemidefiniteConeTriangle"}, @@ -535,7 +535,7 @@ } }, { "description": "The cone of symmetric positive semidefinite matrices, with side length `side_dimension`. The entries of the matrix are given column by column (or equivalently, row by row). The matrix is both constrained to be symmetric and to be positive semidefinite. That is, if the functions in entries `(i, j)` and `(j, i)` are different, then a constraint will be added to make sure that the entries are equal.", - "examples": ["{\"type\": \"PositiveSemidefiniteConeSquare\", \"side_dimension\": 2}"], + "examples": ["`{\"type\": \"PositiveSemidefiniteConeSquare\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "PositiveSemidefiniteConeSquare"}, @@ -543,39 +543,39 @@ } }, { "description": "The set in the `set` field, scaled such that the inner product of two elements in the set is the same as the dot product of the two vector functions. This is most useful for solvers which require PSD matrices in _scaled_ form.", - "examples": ["{\"type\": \"Scaled\", \"set\": {\"type\": \"PositiveSemidefiniteConeTriangle\", \"side_dimension\": 2}}"], + "examples": ["`{\"type\": \"Scaled\", \"set\": {\"type\": \"PositiveSemidefiniteConeTriangle\", \"side_dimension\": 2}}`"], "required": ["set"], "properties": { "type": {"const": "Scaled"}, "set": {"$ref": "#/definitions/vector_sets"} } }, { - "description": "{[t, X] ∈ R^{1 + d(d+1)/2} : t ≤ det(X)^{1/d}}, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeTriangle`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", - "examples": ["{\"type\": \"RootDetConeTriangle\", \"side_dimension\": 2}"], + "description": "`(t, X) ∈ { R^{1 + d(d+1)/2} : t ≤ det(X)^{1/d}}`, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeTriangle`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", + "examples": ["`{\"type\": \"RootDetConeTriangle\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "RootDetConeTriangle"}, "side_dimension": {"type": "integer", "minimum": 1} } }, { - "description": "{[t, X] ∈ R^{1 + d^2} : t ≤ det(X)^{1/d}, X symmetric}, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeSquare`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", - "examples": ["{\"type\": \"RootDetConeSquare\", \"side_dimension\": 2}"], + "description": "`(t, X) ∈ {R^{1 + d^2} : t ≤ det(X)^{1/d}, X symmetric}`, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeSquare`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", + "examples": ["`{\"type\": \"RootDetConeSquare\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "RootDetConeSquare"}, "side_dimension": {"type": "integer", "minimum": 1} } }, { - "description": "{[t, u, X] ∈ R^{2 + d(d+1)/2} : t ≤ u log(det(X/u)), u > 0}, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeTriangle`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", - "examples": ["{\"type\": \"LogDetConeTriangle\", \"side_dimension\": 2}"], + "description": "`(t, u, X) ∈ {R^{2 + d(d+1)/2} : t ≤ u log(det(X/u)), u > 0}`, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeTriangle`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", + "examples": ["`{\"type\": \"LogDetConeTriangle\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "LogDetConeTriangle"}, "side_dimension": {"type": "integer", "minimum": 1} } }, { - "description": "{[t, u, X] ∈ R^{2 + d^2} : t ≤ u log(det(X/u)), X symmetric, u > 0}, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeSquare`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", - "examples": ["{\"type\": \"LogDetConeSquare\", \"side_dimension\": 2}"], + "description": "`(t, u, X) ∈ {R^{2 + d^2} : t ≤ u log(det(X/u)), X symmetric, u > 0}`, where the matrix `X` is represented in the same symmetric packed format as in the `PositiveSemidefiniteConeSquare`. The argument `side_dimension` is the side dimension of the matrix `X`, i.e., its number of rows or columns.", + "examples": ["`{\"type\": \"LogDetConeSquare\", \"side_dimension\": 2}`"], "required": ["side_dimension"], "properties": { "type": {"const": "LogDetConeSquare"}, @@ -590,15 +590,15 @@ } }, { "description": "The (vectorized) cone of Hermitian positive semidefinite matrices, with non-negative side_dimension rows and columns.", - "examples": ["{\"type\": \"HermitianPositiveSemidefiniteConeTriangle\", \"side_dimension\": 3}"], + "examples": ["`{\"type\": \"HermitianPositiveSemidefiniteConeTriangle\", \"side_dimension\": 3}`"], "required": ["side_dimension"], "properties": { "type": {"const": "HermitianPositiveSemidefiniteConeTriangle"}, "side_dimension": {"type": "integer", "minimum": 1} } }, { - "description": "The p-norm cone (t, x) ∈ {R^d : t ≥ (Σᵢ|xᵢ|^p)^(1/p)}.", - "examples": ["{\"type\": \"NormCone\", \"dimension\": 3, \"p\": 1.5}"], + "description": "`(t, x) ∈ {R^d : t ≥ (Σᵢ|xᵢ|^p)^(1/p)}`", + "examples": ["`{\"type\": \"NormCone\", \"dimension\": 3, \"p\": 1.5}`"], "required": ["dimension", "p"], "properties": { "type": {"const": "NormCone"}, @@ -606,56 +606,56 @@ "p": {"type": "number"} } }, { - "description": "(t, x) ∈ {R^{dimension}: t ≥ Σᵢ|xᵢ|}", - "examples": ["{\"type\": \"NormOneCone\", \"dimension\": 2}"], + "description": "`(t, x) ∈ {R^{dimension}: t ≥ Σᵢ|xᵢ|}`", + "examples": ["`{\"type\": \"NormOneCone\", \"dimension\": 2}`"], "required": ["dimension"], "properties": { "type": {"const": "NormOneCone"}, "dimension": {"type": "integer", "minimum": 2} } }, { - "description": "(t, x) ∈ {R^{dimension}: t ≥ maxᵢ|xᵢ|}", - "examples": ["{\"type\": \"NormInfinityCone\", \"dimension\": 2}"], + "description": "`(t, x) ∈ {R^{dimension}: t ≥ maxᵢ|xᵢ|}`", + "examples": ["`{\"type\": \"NormInfinityCone\", \"dimension\": 2}`"], "required": ["dimension"], "properties": { "type": {"const": "NormInfinityCone"}, "dimension": {"type": "integer", "minimum": 2} } }, { - "description": "[t, x] ∈ {R^{dimension}: x ≥ 0, t ≤ (Πxᵢ)^{1 / (dimension-1)}}", - "examples": ["{\"type\": \"GeometricMeanCone\", \"dimension\": 3}"], + "description": "`(t, x) ∈ {R^{dimension}: x ≥ 0, t ≤ (Πxᵢ)^{1 / (dimension-1)}}`", + "examples": ["`{\"type\": \"GeometricMeanCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "GeometricMeanCone"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "[u, v] ∈ {R^{dimension}: v ≥ 0, 0 ≥ u ≥ -n * (Πvᵢ)^{1 / (dimension-1)}}", - "examples": ["{\"type\": \"DualGeometricMeanCone\", \"dimension\": 3}"], + "description": "`(u, v) ∈ {R^{dimension}: v ≥ 0, 0 ≥ u ≥ -n * (Πvᵢ)^{1 / (dimension-1)}}`", + "examples": ["`{\"type\": \"DualGeometricMeanCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "DualGeometricMeanCone"}, "dimension": {"type": "integer", "minimum": 1} } }, { - "description": "(u, v, w) ∈ {R^{dimension}: u ≥ Σᵢ wᵢlog(wᵢ/vᵢ), vᵢ > 0, wᵢ > 0}", - "examples": ["{\"type\": \"RelativeEntropyCone\", \"dimension\": 3}"], + "description": "`(u, v, w) ∈ {R^{dimension}: u ≥ Σᵢ wᵢlog(wᵢ/vᵢ), vᵢ > 0, wᵢ > 0}`", + "examples": ["`{\"type\": \"RelativeEntropyCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "RelativeEntropyCone"}, "dimension": {"type": "integer", "minimum": 3} } }, { - "description": "(u, v, w) ∈ {R^{dimension}: ∀i, wᵢ ≥ u(log(u/vᵢ) - 1), vᵢ > 0, u > 0}", - "examples": ["{\"type\": \"DualRelativeEntropyCone\", \"dimension\": 3}"], + "description": "`(u, v, w) ∈ {R^{dimension}: ∀i, wᵢ ≥ u(log(u/vᵢ) - 1), vᵢ > 0, u > 0}`", + "examples": ["`{\"type\": \"DualRelativeEntropyCone\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "DualRelativeEntropyCone"}, "dimension": {"type": "integer", "minimum": 3} } }, { - "description": "(t, X) ∈ {R^{1+row_dim×column_dim}: t ≥ σ₁(X)}", - "examples": ["{\"type\": \"NormSpectralCone\", \"row_dim\": 1, \"column_dim\": 2}"], + "description": "`(t, X) ∈ {R^{1+row_dim×column_dim}: t ≥ σ₁(X)}`", + "examples": ["`{\"type\": \"NormSpectralCone\", \"row_dim\": 1, \"column_dim\": 2}`"], "required": ["row_dim", "column_dim"], "properties": { "type": {"const": "NormSpectralCone"}, @@ -663,8 +663,8 @@ "column_dim": {"type": "integer", "minimum": 1} } }, { - "description": "(t, X) ∈ {R^{1+row_dim×column_dim}: t ≥ Σᵢ σᵢ(X)}", - "examples": ["{\"type\": \"NormNuclearCone\", \"row_dim\": 1, \"column_dim\": 2}"], + "description": "`(t, X) ∈ {R^{1+row_dim×column_dim}: t ≥ Σᵢ σᵢ(X)}`", + "examples": ["`{\"type\": \"NormNuclearCone\", \"row_dim\": 1, \"column_dim\": 2}`"], "required": ["row_dim", "column_dim"], "properties": { "type": {"const": "NormNuclearCone"}, @@ -673,7 +673,7 @@ } }, { "description": "The set corresponding to a mixed complementarity constraint. Complementarity constraints should be specified with an AbstractVectorFunction-in-Complements(dimension) constraint. The dimension of the vector-valued function `F` must be `dimension`. This defines a complementarity constraint between the scalar function `F[i]` and the variable in `F[i + dimension/2]`. Thus, `F[i + dimension/2]` must be interpretable as a single variable `x_i` (e.g., `1.0 * x + 0.0`). The mixed complementarity problem consists of finding `x_i` in the interval `[lb, ub]` (i.e., in the set `Interval(lb, ub)`), such that the following holds: 1. `F_i(x) == 0` if `lb_i < x_i < ub_i`; 2. `F_i(x) >= 0` if `lb_i == x_i`; 3. `F_i(x) <= 0` if `x_i == ub_i`. Classically, the bounding set for `x_i` is `Interval(0, Inf)`, which recovers: `0 <= F_i(x) ⟂ x_i >= 0`, where the `⟂` operator implies `F_i(x) * x_i = 0`.", - "examples": ["{\"type\": \"Complements\", \"dimension\": 2}"], + "examples": ["`{\"type\": \"Complements\", \"dimension\": 2}`"], "required": ["dimension"], "properties": { "type": {"const": "Complements"}, @@ -681,7 +681,7 @@ } }, { "description": "A special ordered set of type I.", - "examples": ["{\"type\": \"SOS1\", \"weights\": [1, 3, 2]}"], + "examples": ["`{\"type\": \"SOS1\", \"weights\": [1, 3, 2]}`"], "required": ["weights"], "properties": { "type": {"const": "SOS1"}, @@ -689,7 +689,7 @@ } }, { "description": "A special ordered set of type II.", - "examples": ["{\"type\": \"SOS2\", \"weights\": [1, 3, 2]}"], + "examples": ["`{\"type\": \"SOS2\", \"weights\": [1, 3, 2]}`"], "required": ["weights"], "properties": { "type": {"const": "SOS2"}, @@ -697,7 +697,7 @@ } }, { "description": "If `activate_on=one`: (y, x) ∈ {0,1}×Rᴺ: y = 0 ⟹ x ∈ S, otherwise when `activate_on=zero`: (y, x) ∈ {0,1}×Rᴺ: y = 1 ⟹ x ∈ S.", - "examples": ["{\"type\": \"Indicator\", \"set\": {\"type\": \"LessThan\", \"upper\": 2.0}, \"activate_on\": \"one\"}"], + "examples": ["`{\"type\": \"Indicator\", \"set\": {\"type\": \"LessThan\", \"upper\": 2.0}, \"activate_on\": \"one\"}`"], "required": ["set", "activate_on"], "properties": { "type": {"const": "Indicator"}, @@ -711,8 +711,8 @@ "activate_on": {"enum": ["one", "zero"]} } }, { - "description": "The set {x in Z^d} such that no two elements in x take the same value and dimension=d.", - "examples": ["{\"type\": \"AllDifferent\", \"dimension\": 2}"], + "description": "The set `{x in Z^d}` such that no two elements in x take the same value and dimension=d.", + "examples": ["`{\"type\": \"AllDifferent\", \"dimension\": 2}`"], "required": ["dimension"], "properties": { "type": {"const": "AllDifferent"}, @@ -720,7 +720,7 @@ } }, { "description": "The set `{x in Z^d}` where `d = length(w)`, such that each item `i` in `1:d` of weight `w[i]` is put into bin `x[i]`, and the total weight of each bin does not exceed `c`.", - "examples": ["{\"type\": \"BinPacking\", \"capacity\": 3.0, \"weights\": [1.0, 2.0, 3.0]}"], + "examples": ["`{\"type\": \"BinPacking\", \"capacity\": 3.0, \"weights\": [1.0, 2.0, 3.0]}`"], "required": ["capacity", "weights"], "properties": { "type": {"const": "BinPacking"}, @@ -729,7 +729,7 @@ } }, { "description": "The set `{x in {1..d}^d}` that constraints `x` to be a circuit, such that `x_i = j` means that `j` is the successor of `i`, and `dimension = d`.", - "examples": ["{\"type\": \"Circuit\", \"dimension\": 3}"], + "examples": ["`{\"type\": \"Circuit\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "Circuit"}, @@ -737,7 +737,7 @@ } }, { "description": "The set `{x in Z^{d_1 + d_2 + ldots d_N}}`, where `x` is partitioned into `N` subsets (`{x_1, ldots, x_{d_1}}`, `{x_{d_1 + 1}, ldots, x_{d_1 + d_2}}` and so on), and at least `n` elements of each subset take one of the values in `set`.", - "examples": ["{\"type\": \"CountAtLeast\", \"n\": 1, \"partitions\": [2, 2], \"set\": [3]}"], + "examples": ["`{\"type\": \"CountAtLeast\", \"n\": 1, \"partitions\": [2, 2], \"set\": [3]}`"], "required": ["n", "partitions", "set"], "properties": { "type": {"const": "CountAtLeast"}, @@ -747,7 +747,7 @@ } }, { "description": "The set `{(n, x) in Z^{1+d}}`, such that `n` elements of the vector `x` take on of the values in `set` and `dimension = 1 + d`.", - "examples": ["{\"type\": \"CountBelongs\", \"dimension\": 3, \"set\": [3, 4, 5]}"], + "examples": ["`{\"type\": \"CountBelongs\", \"dimension\": 3, \"set\": [3, 4, 5]}`"], "required": ["dimension", "set"], "properties": { "type": {"const": "CountBelongs"}, @@ -756,7 +756,7 @@ } }, { "description": "The set `{(n, x) in Z^{1+d}}`, such that the number of distinct values in `x` is `n` and `dimension = 1 + d`.", - "examples": ["{\"type\": \"CountDistinct\", \"dimension\": 3}"], + "examples": ["`{\"type\": \"CountDistinct\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "CountDistinct"}, @@ -764,7 +764,7 @@ } }, { "description": "The set `{(c, y, x) in Z^{1+1+d}}`, such that `c` is strictly greater than the number of occurances of `y` in `x` and `dimension = 1 + 1 + d`.", - "examples": ["{\"type\": \"CountGreaterThan\", \"dimension\": 3}"], + "examples": ["`{\"type\": \"CountGreaterThan\", \"dimension\": 3}`"], "required": ["dimension"], "properties": { "type": {"const": "CountGreaterThan"}, @@ -772,7 +772,7 @@ } }, { "description": "The set `{(s, d, r, b) in Z^{3n+1}}`, representing the `cumulative` global constraint, where `n == length(s) == length(r) == length(b)` and `dimension = 3n + 1`. `Cumulative` requires that a set of tasks given by start times `s`, durations `d`, and resource requirements `r`, never requires more than the global resource bound `b` at any one time.", - "examples": ["{\"type\": \"Cumulative\", \"dimension\": 10}"], + "examples": ["`{\"type\": \"Cumulative\", \"dimension\": 10}`"], "required": ["dimension"], "properties": { "type": {"const": "Cumulative"}, @@ -780,7 +780,7 @@ } }, { "description": "Given a graph comprised of a set of nodes `1..N` and a set of arcs `1..E` represented by an edge from node `from[i]` to node `to[i]`, `Path` constrains the set `(s, t, ns, es) in (1..N)times(1..E)times{0,1}^Ntimes{0,1}^E`, to form subgraph that is a path from node `s` to node `t`, where node `n` is in the path if `ns[n]` is `1`, and edge `e` is in the path if `es[e]` is `1`. The path must be acyclic, and it must traverse all nodes `n` for which `ns[n]` is `1`, and all edges `e` for which `es[e]` is `1`.", - "examples": ["{\"type\": \"Path\", \"from\": [1, 1, 2, 2, 3], \"to\": [2, 3, 3, 4, 4]}"], + "examples": ["`{\"type\": \"Path\", \"from\": [1, 1, 2, 2, 3], \"to\": [2, 3, 3, 4, 4]}`"], "required": ["from", "to"], "properties": { "type": {"const": "Path"}, @@ -789,7 +789,7 @@ } }, { "description": "The set `{x in R^d}` where `d = size(table, 2)`, such that `x` belongs to one row of `table`. That is, there exists some `j` in `1:size(table, 1)`, such that `x[i] = table[j, i]` for all `i=1:size(table, 2)`.", - "examples": ["{\"type\": \"Table\", \"table\": [[1, 1, 0], [0, 1, 1]]}"], + "examples": ["`{\"type\": \"Table\", \"table\": [[1, 1, 0], [0, 1, 1]]}`"], "required": ["table"], "properties": { "type": {"const": "Table"}, @@ -799,8 +799,8 @@ } } }, { - "description": "(z, f(x)) ∈ {R^{dimension}: z iff f(x) ∈ S}", - "examples": ["{\"type\": \"Reified\", \"set\": {\"type\": \"GreaterThan\", \"lower\": 0}}"], + "description": "`(z, f(x)) ∈ {R^{dimension}: z iff f(x) ∈ S}`", + "examples": ["`{\"type\": \"Reified\", \"set\": {\"type\": \"GreaterThan\", \"lower\": 0}}`"], "required": ["set"], "properties": { "type": {"const": "Reified"},