## 12.2 Numbers Dictionary

• number, System Class
• complex, System Class
• real, System Class
• float, System Class
• rational, System Class
• ratio, System Class
• integer, System Class
• signed-byte, Type
• unsigned-byte, Type
• mod, Type Specifier
• bit, Type
• fixnum, Type
• bignum, Type
• = &rest numbers+ generalized-boolean, Function
• /= &rest numbers+ generalized-boolean, Function
• < &rest numbers+ generalized-boolean, Function
• > &rest numbers+ generalized-boolean, Function
• <= &rest numbers+ generalized-boolean, Function
• >= &rest numbers+ generalized-boolean, Function
• max &rest reals+ max-real, Function
• min &rest reals+ min-real, Function
• minusp real generalized-boolean, Function
• plusp real generalized-boolean, Function
• zerop number generalized-boolean, Function
• sin radians number, Function
• cos radians number, Function
• tan radians number, Function
• asin number radians, Function
• acos number radians, Function
• atan number1 &optional number2 radians, Function
• pi, Constant Variable
• sinh number result, Function
• cosh number result, Function
• tanh number result, Function
• asinh number result, Function
• acosh number result, Function
• atanh number result, Function
• * &rest numbers product, Function
• + &rest numbers sum, Function
• number negation, Function
• minuend &rest subtrahends+ diﬀerence, Function
• / number reciprocal, Function
• / numerator &rest denominators+ quotient, Function
• 1+ number successor, Function
• 1number predecessor, Function
• abs number absolute-value, Function
• evenp integer generalized-boolean, Function
• oddp integer generalized-boolean, Function
• exp number result, Function
• expt base-number power-number result, Function
• gcd &rest integers greatest-common-denominator, Function
• incf place [delta-form] new-value, Macro
• decf place [delta-form] new-value, Macro
• lcm &rest integers least-common-multiple, Function
• log number &optional base logarithm, Function
• mod number divisor modulus, Function
• rem number divisor remainder, Function
• signum number signed-prototype, Function
• sqrt number root, Function
• isqrt natural natural-root, Function
• random-state, System Class
• make-random-state &optional state new-state, Function
• random limit &optional random-state random-number, Function
• random-state-p object generalized-boolean, Function
• *random-state*, Variable
• numberp object generalized-boolean, Function
• cis radians number, Function
• complex realpart &optional imagpart complex, Function
• complexp object generalized-boolean, Function
• conjugate number conjugate, Function
• phase number phase, Function
• realpart number real, Function
• imagpart number real, Function
• upgraded-complex-part-type typespec &optional environment upgraded-typespec, Function
• realp object generalized-boolean, Function
• numerator rational numerator, Function
• denominator rational denominator, Function
• rational number rational, Function
• rationalize number rational, Function
• rationalp object generalized-boolean, Function
• ash integer count shifted-integer, Function
• integer-length integer number-of-bits, Function
• integerp object generalized-boolean, Function
• parse-integer string &key start end radix junk-allowed integer, pos, Function
• boole op integer-1 integer-2 result-integer, Function
• logand &rest integers result-integer, Function
• logandc1 integer-1 integer-2 result-integer, Function
• logandc2 integer-1 integer-2 result-integer, Function
• logeqv &rest integers result-integer, Function
• logior &rest integers result-integer, Function
• lognand integer-1 integer-2 result-integer, Function
• lognor integer-1 integer-2 result-integer, Function
• lognot integer result-integer, Function
• logorc1 integer-1 integer-2 result-integer, Function
• logorc2 integer-1 integer-2 result-integer, Function
• logxor &rest integers result-integer, Function
• logbitp index integer generalized-boolean, Function
• logcount integer number-of-on-bits, Function
• logtest integer-1 integer-2 generalized-boolean, Function
• byte size position bytespec, Function
• byte-size bytespec size, Function
• byte-position bytespec position, Function
• deposit-field newbyte bytespec integer result-integer, Function
• dpb newbyte bytespec integer result-integer, Function
• ldb bytespec integer byte, Accessor
• (setf (ldb bytespec place) new-byte), Accessor
• ldb-test bytespec integer generalized-boolean, Function
• (setf (mask-field bytespec place) new-masked-integer), Accessor
• most-positive-fixnum, most-negative-fixnum, Constant Variable
• decode-float float significand, exponent, sign, Function
• scale-float float integer scaled-float, Function
• float-sign float-1 &optional float-2 signed-float, Function
• float-digits float digits1, Function
• float-precision float digits2, Function
• integer-decode-float float significand, exponent, integer-sign, Function
• float number &optional prototype float, Function
• floatp object, Function
• generalized-boolean, Function
• arithmetic-error, Condition Type
• arithmetic-error-operands condition operands, Function
• arithmetic-error-operation condition operation, Function
• division-by-zero, Condition Type
• floating-point-invalid-operation, Condition Type
• floating-point-inexact, Condition Type
• floating-point-overflow, Condition Type
• floating-point-underflow, Condition Type