C++ Interval Arithmetic Programming Reference

A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z

Index

A

acos, 1

affirmative relation, 1

affirmative relational operators, 1

anti-affirmative relation, 1

anti-affirmative relational operator, 1

arithmetic expressions, 1

arithmetic operations

containment set, 1

arithmetic operators, 1

formulas, 1

asin, 1

assignment statement, 1

atan, 1

atan2, 1

indeterminate forms, 1

B

base conversion, 1, 2

C

ceiling, 1

ceq, 1

certainly relational operators, 1, 2

certainly-relation, 1

cge, 1

cgt, 1

character set notation

constants, 1

cle, 1

closed interval, 1

closed mathematical system, 1, 2

closed set, 1

closure of expression, 1

clt, 1

cne, 1

composite expression, 1

connected set, 1

constants

character set notation, 1

literal, 1

strict interval expression processing, 1

containment constraint, 1, 2

containment failure, 1, 2

containment set, 1, 2

arithmetic operations, 1

containment set equivalent, 1

containment set evaluation theorem, 1

containment-set closure identity, 1

cos, 1

cosh, 1

cset(expression, set)

see also containment set1

D

data

representing intervals, 1

dbx, 1

debugging tools

dbx, 1

degenerate interval, 1, 2

representation, 1

directed rounding, 1, 2, 3

disjoint, 1, 2

disjoint interval, 1

disjoint set relation, 1

display format

inf, sup, 1

E

element set relation, 1

empty interval, 1, 2

empty set, 1

ev(literal_constant), 1

exceptions, 1

exchangeable expression, 1

exp, 1

expressions

composite, 1

interval, 1

extended interval, 1

external representation, 1

external value, 1

F

fabs, 1

floor, 1

fmod, 1

H

hull

see interval hull1

I

implementation quality, 1

in, 1, 2

in_interior, 1, 2

indeterminate forms

atan2, 1

power operator, 1

inf, 1

inf, sup display format, 1

infima, 1

infimum, 1, 2

input/output

entering interval data, 1

single number, 1, 2, 3

single-number, 1

interior set relation, 1

internal approximation, 1, 2

intersect, 1, 2

intersection set theoretic operator, 1, 2

interval

expressions, 1

interval algorithm, 1

interval arithmetic, 1

interval arithmetic functions

fabs, 1

fmod, 1

maximum, 1, 2

minimum, 1, 2

interval arithmetic operations, 1

interval box, 1

interval constants, 1

external value, 1

internal approximation, 1, 2

strict interval expression processing, 1

interval data type, 1

interval expressions, 1

interval hull, 1, 2

interval hull set theoretic operator, 1

interval input/output, 1

interval mathematical functions

exp, 1

log, 1

log10, 1

sqrt, 1

interval order relations, 1

certainly, 1

definitions, 1

possibly, 1

set, 1

interval relational operators, 1, 2

ceq, 1

cge, 1

cgt, 1

cle, 1

clt, 1

cne, 1

disjoint, 1

in, 1

in_interior, 1

peq, 1

pgt, 1

ple, 1

plt, 1

pne, 1

proper_subset, 1

proper_superset, 1

seq, 1, 2

sge, 1

sgt, 1

sle, 1

slt, 1

sne, 1

subset, 1

superset, 1

interval resources

code examples, 1

email, 1

papers, 1

web sites, 1

interval- specific operators, 1

interval support

performance, 1

interval support goals, 1

interval trigonometric functions

acos, 1

asin, 1

atan, 1

atan2, 1

cos, 1

cosh, 1

sin, 1

sinh, 1

tan, 1

tanh, 1

interval type conversion functions

interval, 1

interval width, 1

narrow, 1, 2

related to base conversion, 1

sharp, 1

interval_hull, 1, 2

intervals

input/output, 1

interval-specific functions, 1, 2, 3

ceiling, 1

floor, 1

inf, 1

isempty, 1

mag, 1

mid, 1

mig, 1

ndigits, 1

sup, 1

wid, 1

intrinsic C++ interval support, 1

intrinsic functions

interval, 1

properties, 1

standard, 1

intrinsic operators, 1

arithmetic, 1

relational, 1

isempty, 1

L

literal constants, 1, 2

external value, 1

internal approximation, 1

log, 1

log10, 1

M

mag, 1

mantissa, 1

maximum, 1, 2

mid, 1

mig, 1

minimum, 1, 2

multiple-use expression (MUE), 1

N

narrow intervals, 1, 2

ndigits, 1

O

online interval resources, 1, 2

opaque

data type, 1

operators

arithmetic, 1

intrinsic, 1

power, 1

relational, 1

P

peq, 1

performance, 1

pgt, 1

ple, 1

plt, 1

pne, 1

point, 1

possibly relational operators, 1, 2

possibly-relation, 1

power operator, 1

indeterminate forms, 1

singularities, 1

proper subset set relation, 1

proper superset set relation, 1

proper_subset, 1, 2

proper_superset, 1, 2

Q

quality of implementation, 1, 2

R

radix conversion, 1, 2

relational operators, 1

certainly true, 1

possibly true, 1

set, 1

S

seq, 1

set relational operators, 1, 2

set relations, 1

disjoint, 1

element, 1

interior, 1

proper subset, 1

proper superset, 1

subset, 1

superset, 1

set theoretic, 1

set theoretic operators, 1

interval hull, 1, 2

interval intersection, 1, 2

set-relations, 1

sge, 1

sgt, 1

sharp intervals, 1, 2

sin, 1

single-number input/output, 1, 2, 3, 4

single-number INTERVAL data conversion, 1

single-number interval format, 1

single-number interval representation

precision, 1

single-use expression

see SUE1

singularities

power operator, 1

sinh, 1

sle, 1

slt, 1

sne, 1

sqrt, 1

standard intrinsic functions, 1

subset, 1, 2

subset set relation, 1

SUE, 1, 2

sup, 1

superset, 1, 2

superset set relation, 1

suprema, 1

supremum, 1, 2

T

tan, 1

tanh, 1

U

uld, 1, 2

ulp, 1, 2, 3

unit in last digit

see uld1

unit in last place

see ulp1, 2

V

valid interval result, 1

W

wid, 1