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e and MATLAB®.

Roundtrip MATLAB to JSON

ansatz27 lets you

  • read and write JSON streams with a predictable behavior,
  • make JSON Schemas part of your public API, and
  • avoid boilerplate code to validate that input data is correct.

There is no one-to-one correspondence between JSON and MATLAB data types. Even the number 1 is a 2-dimensional matrix in MATLAB, and could translate to a JSON type of number, array of number or array of array of number. ansatz27 uses JSON Schema to coerce JSON and MATLAB data types consistently and to validate the data.

Requirements

Version GNU Octave ≥4.0 or MATLAB ≥2013b. There are no dependencies.

Related Work

Understanding JSON Schema

You can validated JSON by JSON Schema online with jsonschemalint

Usage

% Parse a literal JSON string
[obj, errors] = JSON.parse('{"id": "MyId", "value": 3.14}');

% Parse JSON from URI
[obj, errors] = JSON.parse('document.json', 'schema.json');

obj = containers.Map();
obj('foo') = struct('bar', 13);
obj('bar') = {'foo' 'bar'};

json = JSON.stringify(obj);
[json, errors] = JSON.stringify(obj, 'schema.json');

% For performance, explicitely parse a schema to use it for multiple parses or stringifies
schema = JSON.loadSchema('schema.json');
[obj, errors] = JSON.parse('document.json', schema);
[json, errors] = JSON.stringify(obj, schema);

Conformance with JSON Schema Specification

FeatureDescription
type All primitive types (array, boolean, integer, number, null, object, string) are supported; `type` keyword is string or list, i.e. `"type": ["number", "null"]` meaning numeric or null
object validation keywords
properties, patternProperties, maxProperties, minProperties Fully supported
additionalProperties Supports only `true` and `false`
array validation keywords
maxItems, minItems Fully supported
additionalItems Supports only `true` and `false`
string validation keywords
pattern Supports valid MATLAB/Octave regular expressions. On Octave not supported from the V4 Spec are lazy quantifiers ("+?", "*?", "??")
maxLength, minLength Do not always work correctly because the *overestimating* length(char) function is used, i.e. `length('®')==2`
number validation keywords
minimum, exclusiveMinimum, maximum, exclusiveMaximum, multipleOf Fully supported
$ref Internal and external referencing fully supported
definitions Fully supported
default See Defaults
format Validates `date-time`, and adds `date`, `structured-array`, `cell-array` and `Map`
enum Only supportes uniform arrays of either strings, numbers or booleans
$schema Fully supported, which means ignored
id Scope resolution alteration is fully supported, see URI Resolution. Note: ansatz27 does not use inline dereferencing.
uniqueItems Not supported
dependencies Not supported
allOf Deprecated. Supported only in top level schema. Use it as a poor man's schema inheritance. Best practise is to flatten the hierarchy by listing all properties and to use schema references.
anyOf Fully supported. Coersion is according the first validating schema. A back-tracking algorithm on the schema array is used, so performance may be poor.
oneOf Fully supported. Coersion is according the single validating schema. Best practise is to use `anyOf` as it performs better.
not Not supported

Comprehensive Example

MATLAB //: # "roundtrip/Comprehensive_Example/payload.m"

a = struct('id', '4711');
a.portfolio.index = 3;
a.portfolio.value = 4.32;
a.deals = struct( 'name', {'DEAL-A' 'DEAL-B'}, 'value', {13.13 42.42} );
a.dealValues = [13.13 42.42];
a;

JSON //: # "roundtrip/Comprehensive_Example/payload.json"

{
    "id": "4711",
    "portfolio": {
        "index": 3,
        "value": 4.32
    },
    "deals": [
        { "name": "DEAL-A", "value": 13.13 },
        { "name": "DEAL-B", "value": 42.42 }
    ],
    "dealValues": [ 13.13, 42.42 ]
}

Schema //: # "roundtrip/Comprehensive_Example/schema.json"

{
    "type": "object",
    "properties": {
        "id": {
            "type": "string"
        },
        "portfolio": {
            "type": "object",
            "properties": {
                "index": { "type": "integer", "minimum": 1 },
                "value": { "type": "number" }
            }
        },
        "deals": {
            "type": "array",
            "items": {
                "type": "object",
                "additionalProperties": false,
                "properties": {
                    "name":  { "type": "string", "pattern": "^DEAL-\\w+$" },
                    "value": { "type": "number", "minimum": 0 }
                }
            }
        }
    }
}

Type Coersion

Type Coersion on Parse

JSON Schema MATLAB
number/integer none | type=number|integer 1x1 numeric matrix
string format=date(-time) datetime
string other formats char array
boolean none | type=boolean 1x1 boolean matrix
object format=struct (default) struct
object format=Map containers.Map
array format=structured-array and item type=object structured-array
array array is uniform (hypercube) and all leafs are numeric numeric matrix
array otherwise cell array
null none | type=null 1x1 NaN

Note: The coersion to struct will simply drop all properties with invalid field names. The coersion to Map will retain all properties.

JSON //: # "parse/Non_MATLAB_Keys/payload.json"

{ "Hello": "World", "$ref": 2 }

MATLAB //: # "parse/Non_MATLAB_Keys/payload.m"

struct('Hello', 'World')

Type Coersion on Stringify

MATLAB Schema JSON
1x1 numeric matrix none | type=number|integer number/integer
datetime type=string and format=date(-time) string
numeric matrix none | type=array array
char array none | string string
1x1 boolean matrix none | type=boolean boolean
boolean matrix none | type=array array
struct none | type=object object
containers.Map none | type=object object
NaN none | type=null null

URI Resolution

With ansatz27, you may reference a JSON or schema resource with a Uniform Resource Identifier (URI). This is either direcly when calling JSON.parse() or JSON.stringify, or indirectly through the $ref keyword in schema documents.

All relative (i.e. having no scheme like file: or http:) URIs are resolved against the current resolution scope as defined by the JSON Schema Specs.

There is one exception: If the schema was not loaded base URI of the JSON class.

The default base URI of the JSON class is either pwd() or ctfroot with a file scheme. You can change this value with

    JSON.setBaseURI('THE_BASE_URI')

Be aware how URI resolution works. You probably want the base URI ending in a slash (/), for example

    JSON.parse('{...}', 'test/schema.json')
    JSON.getBaseURI() ->  /home/decatur/ansatz27/

the resolved URI is file:/home/decatur/ansatz27/test/schema.json.

After resolution the resource is loaded with the Octave/MATLAB urlread() function.

In a standalone MATLAB application, be sure to include all schemas relative to your application into the CTF archive with mcc's -a (add) flag.

Formatter

Formatters allow to make custom transformations. A typical candidate is the mapping of dates between string representation and MATLABs numerical representation. A formatter is invoked on an element if the value of the format property (if any) is the name of a registered formatter.

On parse, formatters are applied after all parseing and validation steps have been performed. On stringify, formatters are performed before all validation and stringifying takes place.

There are two predefined formatters date and date-time, see Date Coercion.

Array Type Coercion

JSON arrays are converted to cell arrays with the exception of structured arrays and numeric matrices.

Structured Array Coercion

A JSON array is coerced to a structured array if

  1. there is a schema,
  2. and /items is an object
  3. and /items/type is 'object'
  4. and the default value of /format is 'structured-array'

MATLAB //: # "roundtrip/Roundtrip_Structured_Array/payload.m"

struct('foo', {1 2}, 'bar', {3 4})

Schema //: # "roundtrip/Roundtrip_Structured_Array/schema.json"

{
    "type": "array",
    "items": {
        "type": "object",
        "properties": {
            "foo": {},
            "bar": {}
        }
    }
}

JSON //: # "roundtrip/Roundtrip_Structured_Array/payload.json"

[
    {"foo":1,"bar":3},
    {"foo":2,"bar":4}
]

Numeric Matrix Coercion

A JSON array is coerced to a numeric matrix if

  1. at each level the sub-arrays have the same length,
  2. and if all items at the lowest level are numbers or null.

MATLAB //: # "roundtrip/Roundtrip_Numeric_Matrix/payload.m"

[ [1 2 NaN]; [4 -5 6] ]

Schema //: # "roundtrip/Roundtrip_Numeric_Matrix/schema.json"

{
    "type": "array",
    "items": {
        "type": "array",
        "items": {
            "type": ["number", "null"]
        }
    }
}

JSON //: # "roundtrip/Roundtrip_Numeric_Matrix/payload.json"

[[1,2,null],[4,-5,6]]

MATLAB //: # "roundtrip/Roundtrip_3D_Matrix/payload.m"

a = NaN(2,2,2);
a(1,:,:) = [1 2; 3 4];
a(2,:,:) = [5 6; 7 8];
a;

JSON //: # "roundtrip/Roundtrip_3D_Matrix/payload.json"

[
    [ [1,2], [3,4] ],
    [ [5,6], [7,8] ]
]

Date Coercion

The two predefined formatters date and date-time coerce ISO8601 date string to datetime objects.

MATLAB //: # "roundtrip/Roundtrip_Date_Formater/payload.m"

struct( ...
    'myDate', 1+datetime('2016-01-02'), ...
    'myDateTime', 1.5+datetime('2016-01-02', 'TimeZone', 'Europe/Berlin') ...
)

Schema //: # "roundtrip/Roundtrip_Date_Formater/schema.json"

{
    "type": "object",
    "properties": {
        "myDate": { 
            "type": "string",
            "format": "date"
        },
        "myDateTime": { 
            "type": "string",
            "format": "date-time"
        }
    }
}

JSON //: # "roundtrip/Roundtrip_Date_Formater/payload.json"

{
    "myDate":"2016-01-03",
    "myDateTime":"2016-01-03T12:00:00+0100"
}

Defaults

A schema may specify a default value. On stringify, defaults are ignored. In particular, values which are equals to defaults are not removed.

On parse, default values are set for unspecified object properties.

MATLAB //: # "parse/Structured_Array_with_Defaults/payload.m"

struct('foo', {1 2}, 'bar', {3 4})

JSON //: # "parse/Structured_Array_with_Defaults/payload.json"

[ 
    { "foo": 1 },
    { "foo": 2, "bar": 4 }
]

Schema //: # "parse/Structured_Array_with_Defaults/schema.json"

{
    "type": "array",
    "items": {
        "type": "object",
        "properties": {
            "foo": {},
            "bar": { "type": "number", "default": 3 }
        }
    }
}

Typical Use Cases

List of From-Fill-Value Tripples

MATLAB //: # "roundtrip/List_of_From-Fill-Value_Tripples/payload.m"

{
    {datetime('2016-01-01') datetime('2016-01-31') 13.13}
    {datetime('2016-02-01') datetime('2016-02-29') 42.42}
}

Schema //: # "roundtrip/List_of_From-Fill-Value_Tripples/schema.json"

{
    "type": "array",
    "items": {
        "type": "array",
        "items": [
            {"type": "string", "format": "date"},
            {"type": "string", "format": "date"},
            {"type": ["number", "null"] }
        ]
    }
}

JSON //: # "roundtrip/List_of_From-Fill-Value_Tripples/payload.json"

[
    ["2016-01-01", "2016-01-31", 13.13],
    ["2016-02-01", "2016-02-29", 42.42]
]

Reuse with Schema References

MATLAB //: # "roundtrip/Reuse_with_Schema_References/payload.m"

struct( ...
    'shipping_address', ...
        struct('street_address', '1600 Penn Ave NW', 'city', 'Washington', 'state', 'DC'), ...
    'billing_address', ...
        struct('street_address', '1st Street SE', 'city', 'Washington', 'state', 'DC'))

Schema //: # "roundtrip/Reuse_with_Schema_References/schema.json"

{
    "$schema": "http://json-schema.org/draft-04/schema#",
    "definitions": {
        "address": {
            "type": "object",
            "properties": {
                "street_address": { "type": "string" },
                "city":           { "type": "string" },
                "state":          { "type": "string" }
            },
            "required": ["street_address", "city", "state"]
        }
    },
    "type": "object",
    "properties": {
        "billing_address":  { "$ref": "#/definitions/address" },
        "shipping_address": { "$ref": "#/definitions/address" }
    }
}

JSON //: # "roundtrip/Reuse_with_Schema_References/payload.json"

{
    "shipping_address": {
        "street_address": "1600 Penn Ave NW",
        "city":           "Washington",
        "state":          "DC"
    },
    "billing_address": {
        "street_address": "1st Street SE",
        "city":           "Washington",
        "state":          "DC"
    }
}

Schema Inheritance with allOf

MATLAB //: # "roundtrip/Schema_Inheritance_with_allOf/payload.m"

struct( ...
    'id', '4711', ...
    'foo', 2, ...
    'bar', 'DEF_VAL')

Schema //: # "roundtrip/Schema_Inheritance_with_allOf/schema.json"

{
    "allOf": [
        {
            "$ref": "schema2.json"
        },
        {
            "type": "object",
            "required": ["id"],
            "properties": {
                "id": {
                    "type": "string"
                },
                "foo": {
                    "type": "number"
                }
            }
        }
    ]
}

JSON //: # "roundtrip/Schema_Inheritance_with_allOf/payload.json"

{
    "id":"4711",
    "foo":2,
    "bar":"DEF_VAL"
}

Dictionary

Sometimes an object is used for arbitrary key-value mapping, also called a dictonary or a map. In practice you should consider not to use dictionaries, use arrays and some extra lookup logic instead.

MATLAB //: # "roundtrip/Dictionary/payload.m"

a = containers.Map();
a('DEAL-A')  = struct('start', datetime('2016-03-20'), 'value', 1);
a('DEAL-XY') = struct('start', datetime('2016-03-21'), 'value', 2);
a('DEAL-Z')  = struct('start', datetime('2016-03-22'), 'value', 3);
a;

Schema //: # "roundtrip/Dictionary/schema.json"

{
    "type": "object",
    "format": "Map",
    "patternProperties": {
        "^DEAL-[A-Z]+$": { 
            "type": "object",
            "properties": {
                "start": { "type": "string", "format": "date" }
            }
        }
    }
}

JSON //: # "roundtrip/Dictionary/payload.json"

{
    "DEAL-A" : { "start": "2016-03-20", "value": 1 },
    "DEAL-XY": { "start": "2016-03-21", "value": 2 },
    "DEAL-Z" : { "start": "2016-03-22", "value": 3 }
}

Validation by Schema

Appart from type coercion, schemas are used to validate the input to parse or stringify. Validation errors are returned by these methods, see Usage.

Expected Errors

All errors related to input data are reported in the second return value of JSON.parse() and JSON.stringify(). These include

  • parse errors in the JSON data or JSON schema
  • schema invalid against the specification
  • JSON data invalid against the schema

Note: The persistent schema cache is only written after schemas are successfully resolved. Therefore the cache will only hold valid schemas.

It is best practise to always check for errors and to discard the input if errors have occured:

[obj, errors] = JSON.parse('{"foo": 1, "bar": 2}', 'roundtrip/Comprehensive_Example/schema.json');
if ~isempty(errors)
    % Report errors and stop processing
end

For each validation error one item in the errors cell array is generated:

Schema //: # "validation/Format_Validation_on_Parse/schema.json"

{
    "type": "object",
    "properties": {
        "a": { "type": "string", "format": "date" },
        "b": { "type": "string", "format": "date" },
        "c": { "type": "string", "format": "date-time" },
        "d": { "type": "string", "format": "date-time" }
    }
}

JSON //: # "validation/Format_Validation_on_Parse/payload.json"

{
    "a": "2016-01-01",
    "b": "2016-01-01T12:00:00Z",
    "c": "2016-01-01T12:00:00Z",
    "d": "2016-01-01T12:00:00Y"
}

Errors //: # "validation/Format_Validation_on_Parse/errors.m"

{
    {'/b' 'is not a valid date' '2016-01-01T12:00:00Z'}
    {'/b' 'is not a valid date' '2016-01-01T12:00:00Z'}
    {'/d' 'is not a valid date-time' '2016-01-01T12:00:00Y'}
}

Unhandled Errors

Both JSON.parse() and JSON.stringify() may throw an error. This is the case when the method is called with an invalid argument type such as JSON.parse(struct()).

In all other cases an unhandled error is always a bug in ansatz27. Please report it!

Utilities

JSON.getPath

Retrieve a value inside an object given its [JSON Pointer](See https://tools.ietf.org/html/rfc6901). The object may be one of struct, cell array or containers.Map.

obj = getPath(obj, pointer, default)
%GETPATH Returns the value under the pointer.
% The pointer must be a JSON pointer, so each reference token must be
% prefixed by / and numerical tokens referencing an array are zero-based.
% Returns default or empty if the pointer does not resolve.

Example

obj = containers.Map();
obj('foo') = struct('bar', 13);
obj('bar') = {'foo' 'bar'};
obj('foo/bar') = 42;                % Not recommended!

JSON.getPath(obj, '/foo/bar')       % -> 13
JSON.getPath(obj, '/bar/1')         % -> 'bar'
JSON.getPath(obj, 'foo~1bar')       % -> 42
JSON.getPath(obj, 'foobar', 4711)   % -> 4711

Security Considerations

The parse time of a JSON-document is proportional to its size. There is the possibility of a DoS with a mild amplification factor.

You must trust the schema creator. A schema can reference another external schema. This is then fetched by urlread() if network settings allow it. The fetched document could contain malicious code, which (although not executed by ansatz27) may reside somewhere in storage. Additionally, one can create an effient DoS with many, possibly huge, external schemas.

Building

  1. Execute runsuite.m in its containing directory and fix all errors.
  2. Execute build.py in its containing directory to update all code fragments in README.md.

Design Decisions

  • We do not use functions in private directories. Octave Version 4.0 cannot resolve those from class member functions.
  • Local functions cannot call private class member functions in Octave.

Improvements by Priority

  • Resolve TODOs
  • Check enum values for uniquness
  • Support mixed type enum
  • Describe Best Practises
  • Usage with webread() introduced in R2014b, via weboptions('ContentReader', @handler)
  • ThingSpeak?
  • Validate keyword multipleOf (integer>0)
  • Validate exclusiveMinimum/Maximum (min/max must exist)

About

A validating and round-tripping JSON Parser and Stringifier for GNU Octave and MATLAB®.

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