java.lang.Object
- jscl.math.Predef

public class Predef
extends java.lang.Object

Field Summary

Fields
Modifier and Type Field Description

static Generic drl

static Generic lex

static Generic oo

static Generic pi

static Generic tdl

Constructor Summary

Constructors
Constructor Description

Predef()

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static Generic`	`and(Generic expression1, Generic expression2)`
`static Generic`	`approx(Generic expression1, Generic expression2)`
`static Generic`	`arccos(Generic a)`
`static Generic`	`arccosh(Generic a)`
`static Generic`	`arccot(Generic a)`
`static Generic`	`arccoth(Generic a)`
`static Generic`	`arcsin(Generic a)`
`static Generic`	`arcsinh(Generic a)`
`static Generic`	`arctan(Generic a)`
`static Generic`	`arctanh(Generic a)`
`static Generic`	`bool(boolean value)`
`static Generic`	`C(Generic n, Generic p)`
`static Generic`	`cl(int p, int q)`
`static Generic`	`coef(Generic expression, Generic variable)`
`static Generic`	`complex(double real, double imag)`
`static Generic`	`complex(Generic[] vector1, Generic[] vector2)`
`static Generic`	`cos(Generic a)`
`static Generic`	`cosh(Generic a)`
`static Generic`	`cot(Generic a)`
`static Generic`	`coth(Generic a)`
`static Generic`	`cubic(Generic a)`
`static Generic`	`curl(Generic vector, Generic[] variable)`
`static Generic`	`d(Generic expression, Generic variable)`
`static Generic`	`d(Generic expression, Generic variable, Generic value)`
`static Generic`	`d(Generic expression, Generic variable, Generic value, Generic order)`
`static Generic`	`dalembertian(Generic expression, Generic[] variable)`
`static Generic`	`del(Generic vector, Generic[] variable)`
`static Generic`	`del(Generic vector, Generic[] variable, Generic algebra)`
`static Generic`	`determinant(Generic matrix)`
`static Generic`	`divergence(Generic vector, Generic[] variable)`
`static Generic`	`elementary(Generic expression)`
`static Generic`	`elim(int k)`
`static Generic`	`eq(Generic expression1, Generic expression2)`
`static Generic`	`exp(Generic a)`
`static Generic`	`factorial(Generic expression)`
`static Generic`	`factorial(Generic expression, Generic order)`
`static Generic`	`factorize(Generic expression)`
`static Generic`	`factorof(Generic expression1, Generic expression2)`
`static ImplicitFunction.Curried`	`function(java.lang.String name, int derivation)`
`static ImplicitFunction.Curried`	`function(java.lang.String name, int[] derivation)`
`static ImplicitFunction.Curried[]`	`function(java.lang.String name, int[] derivation, int n)`
`static ImplicitFunction.Curried[]`	`function(java.lang.String name, int derivation, int n)`
`static Generic`	`function(Generic expression, Generic variable)`
`static Generic`	`geometric(Generic[] vector1, Generic[] vector2)`
`static Generic`	`geometric(Generic[] vector1, Generic[] vector2, Generic algebra)`
`static Generic`	`geq(Generic expression1, Generic expression2)`
`static Generic`	`grad(Generic expression, Generic[] variable)`
`static java.lang.Object`	`graph(Generic a)`
`static java.lang.Object`	`graph(Generic[] a)`
`static Generic`	`groebner(Generic generic, Generic[] variable)`
`static Generic`	`groebner(Generic generic, Generic[] variable, Generic ordering)`
`static Generic`	`groebner(Generic generic, Generic[] variable, Generic ordering, int modulo)`
`static Generic`	`gt(Generic expression1, Generic expression2)`
`static Generic`	`implies(Generic expression1, Generic expression2)`
`static Generic`	`integer(java.lang.String str)`
`static Generic`	`integral(Generic expression, Generic variable)`
`static Generic`	`integral(Generic expression, Generic variable, Generic n1, Generic n2)`
`static Generic`	`jacobian(Generic vector, Generic[] variable)`
`static Generic`	`laplacian(Generic expression, Generic[] variable)`
`static Generic`	`leq(Generic expression1, Generic expression2)`
`static Generic`	`limit(Generic expression, Generic variable, Generic limit)`
`static Generic`	`limit(Generic expression, Generic variable, Generic limit, int direction)`
`static Generic`	`log(Generic a)`
`static Generic`	`lt(Generic expression1, Generic expression2)`
`static Generic[][]`	`matrix(java.lang.String name, int n)`
`static Generic[][]`	`matrix(java.lang.String name, int n, int p)`
`static Generic`	`matrix(Generic[][] element)`
`static Generic`	`matrix(Generic[][] matrix1, Generic[][] matrix2)`
`static Generic`	`mod(Generic integer, Generic modulo)`
`static Generic`	`modint(java.lang.String str, java.lang.String mod)`
`static Generic`	`modinv(Generic integer, Generic modulo)`
`static Generic`	`modpow(Generic integer, Generic exponent, Generic modulo)`
`static Generic`	`neq(Generic expression1, Generic expression2)`
`static Generic`	`not(Generic expression)`
`static Generic`	`numeric(Generic expression)`
`static Generic`	`or(Generic expression1, Generic expression2)`
`static Generic`	`phi(Generic integer)`
`static Generic`	`power(Generic a, Generic b)`
`static Generic`	`primitiveroots(Generic integer)`
`static Generic`	`product(Generic expression, Generic variable, Generic n1, Generic n2)`
`static Generic`	`quaternion(Generic[] vector1, Generic[] vector2)`
`static Generic`	`quote(Generic expression)`
`static Generic`	`quotient(Generic expression1, Generic expression2)`
`static Generic`	`rational(java.lang.String n, java.lang.String d)`
`static Generic`	`real(double val)`
`static Generic`	`rem(Generic expression1, Generic expression2)`
`static Generic[]`	`root(Generic[] parameter)`
`static Generic`	`simplify(Generic expression)`
`static Generic`	`sin(Generic a)`
`static Generic`	`sinh(Generic a)`
`static Generic`	`solve(Generic expression, Generic variable)`
`static Generic`	`solve(Generic expression, Generic variable, int subscript)`
`static Generic`	`sqrt(Generic a)`
`static Generic`	`subst(Generic expression, Generic[] variable, Generic[] value)`
`static Generic`	`subst(Generic expression, Generic variable, Generic value)`
`static Generic`	`sum(Generic expression, Generic variable, Generic n1, Generic n2)`
`static Generic`	`tan(Generic a)`
`static Generic`	`tanh(Generic a)`
`static Generic`	`taylor(Generic expression, Generic variable, Generic value, Generic order)`
`static Generic`	`tensor(Generic[][] matrix1, Generic[][] matrix2)`
`static Generic`	`trace(Generic matrix)`
`static Generic`	`transpose(Generic matrix)`
`static Generic`	`variable(java.lang.String name)`
`static Generic`	`variable(java.lang.String name, int prime)`
`static Generic[]`	`vector(java.lang.String name, int n)`
`static Generic[]`	`vector(java.lang.String name, int prime, int n)`
`static Generic`	`vector(Generic[] element)`
`static Generic`	`vector(Generic[] vector1, Generic[] vector2)`
`static Generic`	`xor(Generic expression1, Generic expression2)`

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

pi
```
public static final Generic pi
```

oo
```
public static final Generic oo
```

lex
```
public static final Generic lex
```

tdl
```
public static final Generic tdl
```

drl
```
public static final Generic drl
```

Constructor Detail
- Predef
```
public Predef()
```

Method Detail

elim
```
public static Generic elim(int k)
```

cl

public static Generic cl(int p,
                         int q)

function

public static ImplicitFunction.Curried function(java.lang.String name,
                                                int derivation)

function

public static ImplicitFunction.Curried[] function(java.lang.String name,
                                                  int derivation,
                                                  int n)

function

public static ImplicitFunction.Curried function(java.lang.String name,
                                                int[] derivation)

function

public static ImplicitFunction.Curried[] function(java.lang.String name,
                                                  int[] derivation,
                                                  int n)

root

public static Generic[] root(Generic[] parameter)

cubic

public static Generic cubic(Generic a)

sqrt

public static Generic sqrt(Generic a)

sin

public static Generic sin(Generic a)

cos

public static Generic cos(Generic a)

tan

public static Generic tan(Generic a)

cot

public static Generic cot(Generic a)

arcsin

public static Generic arcsin(Generic a)

arccos

public static Generic arccos(Generic a)

arctan

public static Generic arctan(Generic a)

arccot

public static Generic arccot(Generic a)

sinh

public static Generic sinh(Generic a)

cosh

public static Generic cosh(Generic a)

tanh

public static Generic tanh(Generic a)

coth

public static Generic coth(Generic a)

arcsinh

public static Generic arcsinh(Generic a)

arccosh

public static Generic arccosh(Generic a)

arctanh

public static Generic arctanh(Generic a)

arccoth

public static Generic arccoth(Generic a)

exp

public static Generic exp(Generic a)

log

public static Generic log(Generic a)

power

public static Generic power(Generic a,
                            Generic b)

vector

public static Generic[] vector(java.lang.String name,
                               int prime,
                               int n)

vector

public static Generic[] vector(java.lang.String name,
                               int n)

matrix

public static Generic[][] matrix(java.lang.String name,
                                 int n,
                                 int p)

matrix

public static Generic[][] matrix(java.lang.String name,
                                 int n)

variable

public static Generic variable(java.lang.String name)

variable

public static Generic variable(java.lang.String name,
                               int prime)

integral

public static Generic integral(Generic expression,
                               Generic variable)

integral

public static Generic integral(Generic expression,
                               Generic variable,
                               Generic n1,
                               Generic n2)

d

public static Generic d(Generic expression,
                        Generic variable)

d

public static Generic d(Generic expression,
                        Generic variable,
                        Generic value)

d

public static Generic d(Generic expression,
                        Generic variable,
                        Generic value,
                        Generic order)

taylor

public static Generic taylor(Generic expression,
                             Generic variable,
                             Generic value,
                             Generic order)

modint

public static Generic modint(java.lang.String str,
                             java.lang.String mod)

integer

public static Generic integer(java.lang.String str)

rational

public static Generic rational(java.lang.String n,
                               java.lang.String d)

real

public static Generic real(double val)

complex

public static Generic complex(double real,
                              double imag)

bool

public static Generic bool(boolean value)

vector

public static Generic vector(Generic[] element)

matrix

public static Generic matrix(Generic[][] element)

graph

public static java.lang.Object graph(Generic a)

graph

public static java.lang.Object graph(Generic[] a)

function

public static Generic function(Generic expression,
                               Generic variable)

elementary

public static Generic elementary(Generic expression)

factorize

public static Generic factorize(Generic expression)

simplify

public static Generic simplify(Generic expression)

numeric

public static Generic numeric(Generic expression)

quote

public static Generic quote(Generic expression)

sum

public static Generic sum(Generic expression,
                          Generic variable,
                          Generic n1,
                          Generic n2)

product

public static Generic product(Generic expression,
                              Generic variable,
                              Generic n1,
                              Generic n2)

limit

public static Generic limit(Generic expression,
                            Generic variable,
                            Generic limit)

limit

public static Generic limit(Generic expression,
                            Generic variable,
                            Generic limit,
                            int direction)

factorial

public static Generic factorial(Generic expression)

factorial

public static Generic factorial(Generic expression,
                                Generic order)

quotient

public static Generic quotient(Generic expression1,
                               Generic expression2)

rem

public static Generic rem(Generic expression1,
                          Generic expression2)

factorof

public static Generic factorof(Generic expression1,
                               Generic expression2)

eq

public static Generic eq(Generic expression1,
                         Generic expression2)

neq

public static Generic neq(Generic expression1,
                          Generic expression2)

leq

public static Generic leq(Generic expression1,
                          Generic expression2)

lt

public static Generic lt(Generic expression1,
                         Generic expression2)

geq

public static Generic geq(Generic expression1,
                          Generic expression2)

gt

public static Generic gt(Generic expression1,
                         Generic expression2)

approx

public static Generic approx(Generic expression1,
                             Generic expression2)

and

public static Generic and(Generic expression1,
                          Generic expression2)

or

public static Generic or(Generic expression1,
                         Generic expression2)

xor

public static Generic xor(Generic expression1,
                          Generic expression2)

not

public static Generic not(Generic expression)

implies

public static Generic implies(Generic expression1,
                              Generic expression2)

transpose

public static Generic transpose(Generic matrix)

trace

public static Generic trace(Generic matrix)

determinant

public static Generic determinant(Generic matrix)

grad

public static Generic grad(Generic expression,
                           Generic[] variable)

divergence

public static Generic divergence(Generic vector,
                                 Generic[] variable)

curl

public static Generic curl(Generic vector,
                           Generic[] variable)

laplacian

public static Generic laplacian(Generic expression,
                                Generic[] variable)

dalembertian

public static Generic dalembertian(Generic expression,
                                   Generic[] variable)

jacobian

public static Generic jacobian(Generic vector,
                               Generic[] variable)

del

public static Generic del(Generic vector,
                          Generic[] variable)

del

public static Generic del(Generic vector,
                          Generic[] variable,
                          Generic algebra)

groebner

public static Generic groebner(Generic generic,
                               Generic[] variable)

groebner

public static Generic groebner(Generic generic,
                               Generic[] variable,
                               Generic ordering)

groebner

public static Generic groebner(Generic generic,
                               Generic[] variable,
                               Generic ordering,
                               int modulo)

coef

public static Generic coef(Generic expression,
                           Generic variable)

subst

public static Generic subst(Generic expression,
                            Generic variable,
                            Generic value)

subst

public static Generic subst(Generic expression,
                            Generic[] variable,
                            Generic[] value)

solve

public static Generic solve(Generic expression,
                            Generic variable)

solve

public static Generic solve(Generic expression,
                            Generic variable,
                            int subscript)

complex

public static Generic complex(Generic[] vector1,
                              Generic[] vector2)

quaternion

public static Generic quaternion(Generic[] vector1,
                                 Generic[] vector2)

vector

public static Generic vector(Generic[] vector1,
                             Generic[] vector2)

matrix

public static Generic matrix(Generic[][] matrix1,
                             Generic[][] matrix2)

tensor

public static Generic tensor(Generic[][] matrix1,
                             Generic[][] matrix2)

geometric

public static Generic geometric(Generic[] vector1,
                                Generic[] vector2)

geometric

public static Generic geometric(Generic[] vector1,
                                Generic[] vector2,
                                Generic algebra)

mod

public static Generic mod(Generic integer,
                          Generic modulo)

modpow

public static Generic modpow(Generic integer,
                             Generic exponent,
                             Generic modulo)

modinv

public static Generic modinv(Generic integer,
                             Generic modulo)

phi

public static Generic phi(Generic integer)

primitiveroots

public static Generic primitiveroots(Generic integer)

C

public static Generic C(Generic n,
                        Generic p)

Modifier and Type	Field	Description
`static Generic`	`drl`
`static Generic`	`lex`
`static Generic`	`oo`
`static Generic`	`pi`
`static Generic`	`tdl`

Class Predef

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

pi

oo

lex

tdl

drl

Constructor Detail

Predef

Method Detail

elim

cl

function

function

function

function

root

cubic

sqrt

sin

cos

tan

cot

arcsin

arccos

arctan

arccot

sinh

cosh

tanh

coth

arcsinh

arccosh

arctanh

arccoth

exp

log

power

vector

vector

matrix

matrix

variable

variable

integral

integral

d

d

d

taylor

modint

integer

rational

real

complex

bool

vector

matrix

graph

graph

function

elementary

factorize

simplify

numeric

quote

sum

product

limit

limit

factorial

factorial

quotient

rem

factorof

eq