@khanacademy/kas NPM

@khanacademy/kas

A lightweight JavaScript CAS (Computer Algebra System) for comparing expressions and equations. It is used throughout Khan Academy's interactive exercises.

What can it do?

It can parse plain text math, LaTeX, or a mix of both:

var expr = KAS.parse("3x \\frac{42}{42} sin^2y").expr;
expr.print();
// "3*x*42/42*sin(y)^(2)"

It can evaluate expressions:

var expr = KAS.parse("(x^2+y^2)^.5").expr;
expr.eval({x: 3, y: 4});
// 5

It can compare expressions and equations:

var expr1 = KAS.parse("(1-x)(-1-6x)").expr;
var expr2 = KAS.parse("(6x+1)(x-1)").expr;
KAS.compare(expr1, expr2).equal;
// true

var eq1 = KAS.parse("2w+50/w=25").expr;
var eq2 = KAS.parse("w(12.5-w)=25").expr;
KAS.compare(eq1, eq2).equal;
// true

It can perform basic transforms that always simplify an expression:

var expr = KAS.parse("1+1+x+x+x+y").expr;
expr.collect().print();
// "2+3*x+y"

var expr = KAS.parse("b^(2*y*log_b x)").expr;
expr.collect().print();
// "x^(2*y)"

It can perform non-simplifying transforms on an expression:

var expr = KAS.parse("ab(c+d)e^f").expr;
expr.print();
// "a*b*(c+d)*e^(f)"
expr.expand().print();
// "a*b*e^(f)*c+a*b*e^(f)*d"
expr.expand().factor().print();
// "a*b*e^(f)*(c+d)"

It can combine the above abilities to perform powerful simplification:

var expr = KAS.parse("((nx^5)^5)/(n^-2x^2)^-3").expr;
expr.print();
// "(n*x^(5))^(5)*(n^(-2)*x^(2))^(-1*-3)"
expr.simplify().print();
// "n^(-1)*x^(31)"

var expr = KAS.parse("(15np-25mp)/(15p^2-5p)+(20mp+10p^2)/(15p^2-5p)").expr;
expr.print();
// "(15*n*p+-25*m*p)*(15*p^(2)+-5*p)^(-1)+(20*m*p+10*p^(2))*(15*p^(2)+-5*p)^(-1)"
expr.simplify().print();
// "(-1+3*p)^(-1)*(3*n+-1*m+2*p)"

How to build the library

yarn
yarn build

How to build the parser

First, make any changes in src/parser-generator.js

yarn
yarn build:parser

License

MIT License

parsing equation expression algebra symbolic

@khanacademy/perseus-core

@infinitebrahmanuniverse/nolb-_kh @everything-registry/sub-chunk-517 @khanacademy/perseus-dev-ui @khanacademy/perseus @khanacademy/perseus-editor @zalastax/nolb-_kh

0.0.0-PR1804-20241031160747

8 months ago

0.0.0-PR1806-20241031161337

8 months ago

0.0.0-PR1803-20241031160231

8 months ago

0.0.0-PR1813-20241031163022

8 months ago

0.0.0-PR1804-20241031161906

8 months ago

0.0.0-PR1806-20241031162237

8 months ago

0.0.0-PR1813-20241031163309

8 months ago

0.0.0-PR1806-20241031160948

8 months ago

0.3.16

8 months ago

0.0.0-PR1791-20241023211319

9 months ago

0.0.0-PR1745-20241017181942

9 months ago

0.0.0-PR1745-20241017220006

9 months ago

0.0.0-PR1745-20241017180706

9 months ago

0.0.0-PR1748-20241017150745

9 months ago

0.0.0-PR1761-20241017202659

9 months ago

0.0.0-PR1758-20241017165320

9 months ago

0.0.0-PR1763-20241018022210

9 months ago

0.0.0-PR1760-20241017172249

9 months ago

0.0.0-PR1754-20241017223621

9 months ago

0.0.0-PR1745-20241017195347

9 months ago

0.0.0-PR1763-20241018015101

9 months ago

0.0.0-PR1748-20241017121814

9 months ago

0.0.0-PR1758-20241017164805

9 months ago

0.0.0-PR1746-20241017153107

9 months ago

0.0.0-PR1745-20241017182517

9 months ago

0.0.0-PR1748-20241016210826

9 months ago

0.0.0-PR1762-20241017224356

9 months ago

0.0.0-PR1748-20241016172236

9 months ago

0.0.0-PR1763-20241018020433

9 months ago

0.0.0-PR1745-20241017162108

9 months ago

0.0.0-PR1762-20241017222544

9 months ago

0.0.0-PR1743-20241017183300

9 months ago

0.3.15

9 months ago

0.0.0-PR1748-20241017151644

9 months ago

0.0.0-PR1758-20241017165859

9 months ago

0.0.0-PR1746-20241017160713

9 months ago

0.0.0-PR1758-20241017173239

9 months ago

0.0.0-PR1695-20241004200447

9 months ago

0.0.0-PR1726-20241004165510

9 months ago

0.0.0-PR1716-20241003000109

9 months ago

0.0.0-PR1715-20241004182443

9 months ago

0.0.0-PR1748-20241013223043

9 months ago

0.0.0-PR1719-20241002230836

9 months ago

0.0.0-PR1715-20241004153241

9 months ago

0.0.0-PR1715-20241004161203

9 months ago

0.0.0-PR1748-20241013224216

9 months ago

0.0.0-PR1727-20241007073531

9 months ago

0.0.0-PR1748-20241013213441

9 months ago

0.0.0-PR1715-20241004155901

9 months ago

0.0.0-PR1719-20241002224525

9 months ago

0.0.0-PR1725-20241007165538

9 months ago

0.0.0-PR1725-20241004160541

9 months ago

0.0.0-PR1666-20241004180620

9 months ago

0.0.0-PR1719-20241002225840

9 months ago

0.0.0-PR1716-20241002234204

9 months ago

0.0.0-PR1715-20241004154826

9 months ago

0.0.0-PR1681-20240926184516

10 months ago

0.0.0-PR1747-20241013190319

9 months ago

0.0.0-PR1726-20241004170114

9 months ago

0.0.0-PR1715-20241004182745

9 months ago

0.0.0-PR1725-20241004155615

9 months ago

0.0.0-PR1666-20241004200558

9 months ago

0.0.0-PR1747-20241013144059

9 months ago

0.0.0-PR1716-20241003131842

9 months ago

0.0.0-PR1666-20241004194429

9 months ago

0.0.0-PR1748-20241013210554

9 months ago

0.3.14

9 months ago

0.0.0-PR1666-20241004181820

9 months ago

0.3.13

9 months ago

0.0.0-PR1715-20241004175325

9 months ago

0.0.0-PR1723-20241003235242

9 months ago

0.0.0-PR1507-20240815155425

11 months ago

0.0.0-PR1507-20240815154450

11 months ago

0.0.0-PR1428-20240730152916

12 months ago

0.0.0-PR1499-20240822150227

11 months ago

0.0.0-PR1507-20240815180050

11 months ago

0.0.0-PR1507-20240819201847

11 months ago

0.0.0-PR1507-20240815164129

11 months ago

0.0.0-PR1449-20240730144015

12 months ago

0.0.0-PR1507-20240814182728

11 months ago

0.0.0-PR1507-20240815194340

11 months ago

0.0.0-PR1407-20240712204832

12 months ago

0.0.0-PR1507-20240819211029

11 months ago

0.0.0-PR1428-20240730145908

12 months ago

0.0.0-PR1404-20240730145350

12 months ago

0.0.0-PR1412-20240715154444

12 months ago

0.0.0-PR1449-20240725145359

12 months ago

0.0.0-PR1428-20240730155133

12 months ago

0.3.12

11 months ago

0.3.11

12 months ago

0.3.10

12 months ago

0.0.0-PR1507-20240815153739

11 months ago

0.0.0-PR1507-20240815180313

11 months ago

0.0.0-PR1428-20240730151432

12 months ago

0.0.0-PR1099-20240320155027

1 year ago

0.0.0-PR1086-20240320144212

1 year ago

0.3.9

1 year ago

0.0.0-PR1096-20240319230915

1 year ago

0.0.0-PR973-20240214213540

1 year ago

0.3.8

1 year ago

0.0.0-PR973-20240207204403

1 year ago

0.0.0-PR973-20240207193807

1 year ago

0.0.0-PR971-20240207175347

1 year ago

0.0.0-PR973-20240207204548

1 year ago

0.0.0-PR973-20240207204934

1 year ago

0.0.0-PR971-20240207180432

1 year ago

0.0.0-PR973-20240207194831

1 year ago

0.0.0-PR973-20240207213425

1 year ago

0.0.0-PR973-20240207204706

1 year ago

0.3.7

2 years ago

0.0.0-PR804-20231207182346

2 years ago

0.0.0-PR804-20231207175624

2 years ago

0.0.0-PR862-20231207182125

2 years ago

0.0.0-PR862-20231207182234

2 years ago

0.0.0-PR861-20231207174433

2 years ago

0.0.0-PR804-20231207174503

2 years ago

0.0.0-PR860-20231207042746

2 years ago

0.0.0-PR804-20231206185852

2 years ago

0.0.0-PR804-20231207031230

2 years ago

0.0.0-PR861-20231207045146

2 years ago

0.0.0-PR860-20231207042717

2 years ago

0.0.0-PR858-20231206222408

2 years ago

0.0.0-PR860-20231207042652

2 years ago

0.0.0-PR861-20231207045159

2 years ago

0.0.0-PR851-20231205214334

2 years ago

0.0.0-PR804-20231205213526

2 years ago

0.0.0-PR848-20231205181617

2 years ago

0.0.0-PR851-20231205214607

2 years ago

0.3.6

2 years ago

0.0.0-PR851-20231205214508

2 years ago

0.0.0-PR804-20231206022231

2 years ago

0.0.0-PR848-20231205183854

2 years ago

0.0.0-PR804-20231205211814

2 years ago

0.0.0-PR804-20231205162311

2 years ago

0.0.0-PR848-20231205181446

2 years ago

0.0.0-PR848-20231205185520

2 years ago

0.0.0-PR848-20231205184036

2 years ago

0.0.0-PR839-20231205154518

2 years ago

0.0.0-PR848-20231205181613

2 years ago

0.0.0-PR814-20231204173447

2 years ago

0.0.0-PR837-20231204222228

2 years ago

0.0.0-PR838-20231204222155

2 years ago

0.0.0-PR838-20231204223001

2 years ago

0.0.0-PR839-20231204225114

2 years ago

0.0.0-PR838-20231204222643

2 years ago

0.0.0-PR838-20231204222413

2 years ago

0.0.0-PR837-20231204222258

2 years ago

0.0.0-PR794-20231204215232

2 years ago

0.0.0-PR837-20231204221956

2 years ago

0.0.0-PR837-20231204223202

2 years ago

0.0.0-PR838-20231204222458

2 years ago

0.0.0-PR745-20231003222422

2 years ago

0.0.0-PR786-20231026204739

2 years ago

0.0.0-PR753-20231005190426

2 years ago

0.0.0-PR711-20231011160442

2 years ago

0.0.0-PR783-20231026185326

2 years ago

0.0.0-PR762-20231012205627

2 years ago

0.0.0-PR780-20231025203238

2 years ago

0.0.0-PR786-20231026202041

2 years ago

0.0.0-PR786-20231026211246

2 years ago

0.0.0-PR755-20231004225725

2 years ago

0.0.0-PR757-20231005190458

2 years ago

0.3.5

2 years ago

0.0.0-PR790-20231103191602

2 years ago

0.0.0-PR762-20231012184111

2 years ago

0.3.2

2 years ago

0.3.4

2 years ago

0.3.3

2 years ago

0.0.0-PR711-20231010205521

2 years ago

0.0.0-PR789-20231101163312

2 years ago

0.0.0-PR783-20231026190919

2 years ago

0.0.0-PR759-20231010162514

2 years ago

0.0.0-PR769-20231018173847

2 years ago

0.0.0-PR753-20231005155921

2 years ago

0.0.0-PR760-20231011152527

2 years ago

0.0.0-PR757-20231005190108

2 years ago

0.0.0-PR745-20231003214236

2 years ago

0.0.0-PR745-20231004195820

2 years ago

0.0.0-PR755-20231004231319

2 years ago

0.0.0-PR786-20231026201459

2 years ago

0.0.0-PR753-20231005170804

2 years ago

0.0.0-PR757-20231005191601

2 years ago

0.0.0-PR786-20231026201739

2 years ago

0.0.0-PR755-20231010184426

2 years ago

0.0.0-PR755-20231004225700

2 years ago

0.0.0-PR755-20231004230813

2 years ago

0.0.0-PR746-20230928160510

2 years ago

0.0.0-PR783-20231026185512

2 years ago

0.0.0-PR789-20231101161110

2 years ago

0.0.0-PR755-20231004235546

2 years ago

0.0.0-PR745-20231004184637

2 years ago

0.0.0-PR757-20231005190402

2 years ago

0.0.0-PR711-20231005191758

2 years ago

0.0.0-PR789-20231101161224

2 years ago

0.0.0-PR760-20231011152007

2 years ago

0.0.0-PR755-20231004231452

2 years ago

0.0.0-PR759-20231009212809

2 years ago

0.0.0-PR769-20231018173722

2 years ago

0.0.0-PR757-20231005190810

2 years ago

0.0.0-PR759-20231010155907

2 years ago

0.0.0-PR780-20231025183350

2 years ago

0.0.0-PR745-20231003224747

2 years ago

0.0.0-PR788-20231101193210

2 years ago

0.0.0-PR757-20231005190154

2 years ago

0.0.0-PR790-20231103191518

2 years ago

0.0.0-PR759-20231009220447

2 years ago

0.0.0-PR745-20230928001000

2 years ago

0.0.0-PR814-20231129003235

2 years ago

0.0.0-PR745-20231004184900

2 years ago

0.0.0-PR759-20231009212715

2 years ago

0.0.0-PR781-20231026000232

2 years ago

0.0.0-PR745-20231003215634

2 years ago

0.0.0-PR759-20231009220456

2 years ago

0.0.0-PR443-20230328215601

2 years ago

0.0.0-PR447-20230329185647

2 years ago

0.0.0-PR443-20230329142459

2 years ago

0.0.0-PR443-20230329145726

2 years ago

0.0.0-PR445-20230328222414

2 years ago

0.0.0-PR451-20230330174928

2 years ago

0.0.0-PR443-20230328220035

2 years ago

0.0.0-PR447-20230329194346

2 years ago

0.0.0-PR445-20230328222322

2 years ago

0.0.0-PR445-20230329152312

2 years ago

0.0.0-PR454-20230330173945

2 years ago

0.0.0-PR443-20230329150323

2 years ago

0.0.0-PR443-20230329152243

2 years ago

0.0.0-PR449-20230329211247

2 years ago

0.0.0-PR445-20230329150413

2 years ago

0.0.0-PR445-20230329151801

2 years ago

0.0.0-PR443-20230329150649

2 years ago

0.0.0-PR445-20230329145825

2 years ago

0.0.0-PR446-20230329180622

2 years ago

0.0.0-PR443-20230329143350

2 years ago

0.0.0-PR443-20230329151813

2 years ago

0.0.0-PR443-20230328215611

2 years ago

0.0.0-PR445-20230329142451

2 years ago

0.0.0-PR445-20230328222707

2 years ago

0.0.0-PR447-20230329194852

2 years ago

0.0.0-PR447-20230329194456

2 years ago

0.3.0

2 years ago

0.0.0-PR445-20230329151037

2 years ago

0.0.0-PR445-20230329150723

2 years ago

0.0.0-PR445-20230329143437

2 years ago

0.0.0-PR449-20230329211055

2 years ago

0.3.1

2 years ago

0.0.0-PR443-20230329150952

2 years ago

0.0.0-PR446-20230329180856

2 years ago

3 years ago

3 years ago

3 years ago

3 years ago

3 years ago