MATHJX

Extends MathJS with the following scripting language:

if TEST
DO
elseif TEST
DO
:
else
DO
end

switch TEST
case TEST
DO
:
default
DO
end

try
DO
catch
DO
end

for INDEX
DO
end

while TEST
DO
end

until TEST
DO
end

when EVENT
DO
end

def f=(x,y, [a,b, ...], {u,v, ...}, ...)
DO
end

Inline functions are supported using fat-arrows:

(x,y, [a,b, ...], {u,v, ...}, ...) => {
DO
}

Because MathJS intrinsically protects against lax Matlab expressions, term-wise
evaluation of intrinsically singular functions like cos must use Cos([x,y,z...]) or map([x,y,z,...], cos).

Transposes are likewise strict, so [x,y,z,...]', [[x,y,z,...]]', and [x;y;z;...]' produce [x,y,z,...], [x;y;z,...], and
[x,y,z,...], respectively.

Multiple MathJX lines be coded using DO \ DO \ ....

Evaluate MathJX scripts using:

$( "script", ctx => { / optional callback /
});

MathJX supports both MathJS tensors and native JS-style tensors:

var
A = $( [N1], function $ ( i, A ) { /.../ } ), // rank 1
B = $( [N1,N2], function $$ (i,j, B ) { /.../ } ), // rank 2
C = $( [N1,N2,...NK], ( [i,j,...], C ) => { /.../ } ) // rank K

where initialization callbacks are optional. Tensors are similarly indexed using:

A.$( (i, A) => { /.../ } ); // rank 1
B.$$( (i,j, B) => { /.../ } ); // rank 2
C.for( [i,j,...], C ) { /.../ } ); // rank K

Install

npm install @totemorg/mathjx # Install
npm update

Start

npm run start # Start/Unit test

Manage

npm run verminor # Roll minor version
npm run vermajor # Roll major version
npm run redoc # Regen documentation
npm run pubminor # republish as minor version
npm run pubmajor # republish as major version

Usage

Acquire and optionally configure MATHJX as follows:

import { JX } from "@totemorg/mathjx";

JX.config({
key: value, // set key
"key.key": value, // indexed set
"key.key.": value // indexed append
});

where configuration keys follow ENUMS deep copy conventions. See the
Program Reference for usage examples.

Program Reference

Open/Close

Modules

MATHJX

Process supplied mathjx-script by reducing the script to a mathjs script
using the following language model:

if TEST BLOCK elseif TEST BLOCK : else BLOCK end switch TEST case TEST BLOCK : default TEST BLOCK end try BLOCK catch BLOCK end for INDEX BLOCK end while TEST BLOCK end until TEST BLOCK end when EVENT BLOCK end

def f=(x,y,...) BLOCK end

Inline functions are also supported using fat-arrows:

(x,y,...) => {
    BLOCK
}

array

JX

MATHJX

Process supplied mathjx-script by reducing the script to a mathjs script
using the following language model:

if TEST
BLOCK
elseif TEST
BLOCK
:
else
BLOCK
end

switch TEST
case TEST
BLOCK
:
default TEST
BLOCK
end

try
BLOCK
catch
BLOCK
end

for INDEX
BLOCK
end

while TEST
BLOCK
end

until TEST
BLOCK
end

when EVENT
BLOCK
end

def f=(x,y,...)
BLOCK
end
Inline functions are also supported using fat-arrows:

(x,y,...) => {
BLOCK
}

Requires: module:mathjs, module:enums, module:cp
Author: ACMESDS

| Param | Type | Description |
| --- | --- | --- |
| pgm | String \| Array | Script to reduce and execute. Use an Array to bypass default eol-tokenization. |
| blks | Array | Stash fo code blocks; initially []. |
| idx | Number | Current line index to start parsing; initially 0. |
| lang | Object | Language model; see code herein. |

Example (js-reduction)
``js \\ program def f=(x,y) f=x+y; end

\\ reduces to def($ctx[1])

\\ with resulting context [ { test: 'f=(x,y)', code: 'f=x+y\n' } ]`Example (js-reduction)`js \\ program for i i1 i2 for j j1; j2; while u\u1\end end end \\ reduces to for($ctx[3]) \\ with resulting context [ { test: 'u', code: 'u1\n' }, { test: 'j', code: 'j1; j2;\nwhile($ctx[1])' }, { test: 'i', code: 'i1\ni2\nfor($ctx[2])' } ]`Example (js-reduction)`js \\ program a1="this;is;a;test"; \\ reduces to a1=$ctx[1]; \\ with resulting context [ 'this;is;a;test' ]`Example (js-reduction)`js \\ program somefn(1,2, \def f=(x,y) print("x=%f and y=%f",x,y); end ) \\ and program somefn(1,2, \(x,y) => { print("x=%f and y=%f",x,y); }) \\ reduces to def($ctx[2])) \\ with resulting context [ 'x=%f and y=%f', { test: 'f=(x,y)', code: 'print($ctx[1],x,y);\n' } ]`Example (js-reduction)`js \\ program def f=(x,y) f=x+y; end disp(f(1,2)); \\ reduces to def($ctx[1]);disp(f(1,2)); \\ with resulting context [ { test: 'f=(x,y)', code: 'f=x+y;\n' } ]`Example (js-reduction)`js \\ program def f=([a,b],{x,y}) f=x+y+a+b; end disp(f([4,5],{x:10,y:20})); \\ reduces to def($ctx[1]);disp(f([4,5],{x:10,y:20})); \\ with resulting context [ { test: 'f=([a,b],{x,y})', code: 'f=x+y+a+b;\n' } ]``

* MATHJX
* ~_Errors
* .badBlock
* .noTerm

$3

Client error messages

Kind: inner constant of MATHJX

* ~_Errors
* .badBlock
* .noTerm

Kind: inner method of JX

$3

Return rank of x.

Kind: inner method of JX

$3

Return size of x.

Kind: inner method of JX

$3

Return length of x.

switch TEST
case TEST
DO
:
default
DO
end

try
DO
catch
DO
end

for INDEX
DO
end

while TEST
DO
end

until TEST
DO
end

when EVENT
DO
end

def f=(x,y, [a,b, ...], {u,v, ...}, ...)
DO
end

Inline functions are supported using fat-arrows:

(x,y, [a,b, ...], {u,v, ...}, ...) => {
DO
}

Because MathJS intrinsically protects against lax Matlab expressions, term-wise
evaluation of intrinsically singular functions like cos must use Cos([x,y,z...]) or map([x,y,z,...], cos).

Transposes are likewise strict, so [x,y,z,...]', [[x,y,z,...]]', and [x;y;z;...]' produce [x,y,z,...], [x;y;z,...], and
[x,y,z,...], respectively.

Multiple MathJX lines be coded using DO \ DO \ ....

Evaluate MathJX scripts using:

$( "script", ctx => { / optional callback /
});

MathJX supports both MathJS tensors and native JS-style tensors:

var
A = $( [N1], function $ ( i, A ) { /.../ } ), // rank 1
B = $( [N1,N2], function $$ (i,j, B ) { /.../ } ), // rank 2
C = $( [N1,N2,...NK], ( [i,j,...], C ) => { /.../ } ) // rank K

where initialization callbacks are optional. Tensors are similarly indexed using:

A.$( (i, A) => { /.../ } ); // rank 1
B.$$( (i,j, B) => { /.../ } ); // rank 2
C.for( [i,j,...], C ) { /.../ } ); // rank K

Install

npm install @totemorg/mathjx # Install
npm update

Start

npm run start # Start/Unit test

Manage

Usage

Acquire and optionally configure MATHJX as follows:

import { JX } from "@totemorg/mathjx";

JX.config({
key: value, // set key
"key.key": value, // indexed set
"key.key.": value // indexed append
});

where configuration keys follow ENUMS deep copy conventions. See the
Program Reference for usage examples.

Program Reference

Open/Close

Modules

MATHJX

Process supplied mathjx-script by reducing the script to a mathjs script
using the following language model:

def f=(x,y,...) BLOCK end

Inline functions are also supported using fat-arrows:

(x,y,...) => {
    BLOCK
}

array

JX

MATHJX

Process supplied mathjx-script by reducing the script to a mathjs script
using the following language model:

if TEST
BLOCK
elseif TEST
BLOCK
:
else
BLOCK
end

switch TEST
case TEST
BLOCK
:
default TEST
BLOCK
end

try
BLOCK
catch
BLOCK
end

for INDEX
BLOCK
end

while TEST
BLOCK
end

until TEST
BLOCK
end

when EVENT
BLOCK
end

def f=(x,y,...)
BLOCK
end
Inline functions are also supported using fat-arrows:

(x,y,...) => {
BLOCK
}

Requires: module:mathjs, module:enums, module:cp
Author: ACMESDS

Example (js-reduction)
``js \\ program def f=(x,y) f=x+y; end

\\ reduces to def($ctx[1])

* MATHJX
* ~_Errors
* .badBlock
* .noTerm

$3

Client error messages

Kind: inner constant of MATHJX

* ~_Errors
* .badBlock
* .noTerm

Kind: inner method of JX

$3

Return rank of x.

Kind: inner method of JX

$3

Return size of x.

Kind: inner method of JX

$3

Return length of x.

MIT