Package jscl.math

Class Predef

java.lang.Object

jscl.math.Predef

public class Predef
extends Object

Field Summary

Fields

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

Constructor Summary

Constructors

Constructor	Description
Predef()

Method Summary

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	expand(Generic expression)
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(String name, int derivation)
static ImplicitFunction.Curried	function(String name, int[] derivation)
static ImplicitFunction.Curried[]	function(String name, int[] derivation, int n)
static ImplicitFunction.Curried[]	function(String name, int derivation, int n)
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 Object	graph(Generic expression, Generic variable)
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(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(String name, int n)
static Generic[][]	matrix(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(String str, 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(String n, 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(String name)
static Generic	variable(String name, int prime)
static Generic[]	vector(String name, int n)
static Generic[]	vector(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 Details

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 Details

Predef

public Predef()

Method Details

elim

public static Generic elim(int k)

cl

public static Generic cl(int p,
 int q)

function

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

function

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

function

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

function

public static ImplicitFunction.Curried[] function(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(String name,
 int prime,
 int n)

vector

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

matrix

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

matrix

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

variable

public static Generic variable(String name)

variable

public static Generic variable(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(String str,
 String mod)

integer

public static Generic integer(String str)

rational

public static Generic rational(String n,
 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 Object graph(Generic expression,
 Generic variable)

expand

public static Generic expand(Generic expression)

factorize

public static Generic factorize(Generic expression)

elementary

public static Generic elementary(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)