author | paulson |
Wed, 27 Jun 2007 12:41:36 +0200 | |
changeset 23510 | 4521fead5609 |
parent 23442 | 028e39e5e8f3 |
child 25430 | 372d6749f00e |
permissions | -rw-r--r-- |
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(* ========================================================================= *) |
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(* ML UTILITY FUNCTIONS *) |
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(* Copyright (c) 2001-2005 Joe Hurd, distributed under the BSD License *) |
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(* ========================================================================= *) |
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signature Useful = |
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sig |
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(* ------------------------------------------------------------------------- *) |
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(* Exceptions. *) |
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(* ------------------------------------------------------------------------- *) |
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exception Error of string |
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exception Bug of string |
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val partial : exn -> ('a -> 'b option) -> 'a -> 'b |
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val total : ('a -> 'b) -> 'a -> 'b option |
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val can : ('a -> 'b) -> 'a -> bool |
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(* ------------------------------------------------------------------------- *) |
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(* Tracing. *) |
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(* ------------------------------------------------------------------------- *) |
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val tracePrint : (string -> unit) ref |
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val maxTraceLevel : int ref |
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val traceLevel : int ref (* in the set {0, ..., maxTraceLevel} *) |
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val traceAlign : {module : string, alignment : int -> int option} list ref |
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val tracing : {module : string, level : int} -> bool |
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val trace : string -> unit |
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(* ------------------------------------------------------------------------- *) |
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(* Combinators. *) |
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(* ------------------------------------------------------------------------- *) |
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val C : ('a -> 'b -> 'c) -> 'b -> 'a -> 'c |
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val I : 'a -> 'a |
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val K : 'a -> 'b -> 'a |
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val S : ('a -> 'b -> 'c) -> ('a -> 'b) -> 'a -> 'c |
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val W : ('a -> 'a -> 'b) -> 'a -> 'b |
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val funpow : int -> ('a -> 'a) -> 'a -> 'a |
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val exp : ('a * 'a -> 'a) -> 'a -> int -> 'a -> 'a |
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val equal : ''a -> ''a -> bool |
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val notEqual : ''a -> ''a -> bool |
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(* ------------------------------------------------------------------------- *) |
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(* Pairs. *) |
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(* ------------------------------------------------------------------------- *) |
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val fst : 'a * 'b -> 'a |
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val snd : 'a * 'b -> 'b |
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val pair : 'a -> 'b -> 'a * 'b |
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val swap : 'a * 'b -> 'b * 'a |
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val curry : ('a * 'b -> 'c) -> 'a -> 'b -> 'c |
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val uncurry : ('a -> 'b -> 'c) -> 'a * 'b -> 'c |
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val ## : ('a -> 'c) * ('b -> 'd) -> 'a * 'b -> 'c * 'd |
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(* ------------------------------------------------------------------------- *) |
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(* State transformers. *) |
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(* ------------------------------------------------------------------------- *) |
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val unit : 'a -> 's -> 'a * 's |
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val bind : ('s -> 'a * 's) -> ('a -> 's -> 'b * 's) -> 's -> 'b * 's |
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val mmap : ('a -> 'b) -> ('s -> 'a * 's) -> 's -> 'b * 's |
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val mjoin : ('s -> ('s -> 'a * 's) * 's) -> 's -> 'a * 's |
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val mwhile : ('a -> bool) -> ('a -> 's -> 'a * 's) -> 'a -> 's -> 'a * 's |
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(* ------------------------------------------------------------------------- *) |
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(* Lists: note we count elements from 0. *) |
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(* ------------------------------------------------------------------------- *) |
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val cons : 'a -> 'a list -> 'a list |
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val hdTl : 'a list -> 'a * 'a list |
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val append : 'a list -> 'a list -> 'a list |
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val singleton : 'a -> 'a list |
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val first : ('a -> 'b option) -> 'a list -> 'b option |
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val index : ('a -> bool) -> 'a list -> int option |
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val maps : ('a -> 's -> 'b * 's) -> 'a list -> 's -> 'b list * 's |
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val mapsPartial : ('a -> 's -> 'b option * 's) -> 'a list -> 's -> 'b list * 's |
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val enumerate : 'a list -> (int * 'a) list |
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val zipwith : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list |
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val zip : 'a list -> 'b list -> ('a * 'b) list |
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val unzip : ('a * 'b) list -> 'a list * 'b list |
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val cartwith : ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list |
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val cart : 'a list -> 'b list -> ('a * 'b) list |
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val divide : 'a list -> int -> 'a list * 'a list (* Subscript *) |
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val revDivide : 'a list -> int -> 'a list * 'a list (* Subscript *) |
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val updateNth : int * 'a -> 'a list -> 'a list (* Subscript *) |
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val deleteNth : int -> 'a list -> 'a list (* Subscript *) |
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(* ------------------------------------------------------------------------- *) |
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(* Sets implemented with lists. *) |
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(* ------------------------------------------------------------------------- *) |
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137 |
val mem : ''a -> ''a list -> bool |
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The Metis prover (slightly modified version from Larry);
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138 |
|
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139 |
val insert : ''a -> ''a list -> ''a list |
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140 |
|
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The Metis prover (slightly modified version from Larry);
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141 |
val delete : ''a -> ''a list -> ''a list |
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142 |
|
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143 |
val setify : ''a list -> ''a list (* removes duplicates *) |
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144 |
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145 |
val union : ''a list -> ''a list -> ''a list |
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The Metis prover (slightly modified version from Larry);
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146 |
|
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The Metis prover (slightly modified version from Larry);
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147 |
val intersect : ''a list -> ''a list -> ''a list |
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The Metis prover (slightly modified version from Larry);
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148 |
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The Metis prover (slightly modified version from Larry);
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|
149 |
val difference : ''a list -> ''a list -> ''a list |
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|
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The Metis prover (slightly modified version from Larry);
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151 |
val subset : ''a list -> ''a list -> bool |
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The Metis prover (slightly modified version from Larry);
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152 |
|
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The Metis prover (slightly modified version from Larry);
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153 |
val distinct : ''a list -> bool |
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154 |
|
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The Metis prover (slightly modified version from Larry);
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|
155 |
(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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156 |
(* Comparisons. *) |
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The Metis prover (slightly modified version from Larry);
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157 |
(* ------------------------------------------------------------------------- *) |
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158 |
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|
159 |
val mapCompare : ('a -> 'b) -> ('b * 'b -> order) -> 'a * 'a -> order |
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160 |
|
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161 |
val revCompare : ('a * 'a -> order) -> 'a * 'a -> order |
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162 |
|
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The Metis prover (slightly modified version from Larry);
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163 |
val prodCompare : |
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The Metis prover (slightly modified version from Larry);
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|
164 |
('a * 'a -> order) -> ('b * 'b -> order) -> ('a * 'b) * ('a * 'b) -> order |
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165 |
|
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The Metis prover (slightly modified version from Larry);
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166 |
val lexCompare : ('a * 'a -> order) -> 'a list * 'a list -> order |
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The Metis prover (slightly modified version from Larry);
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167 |
|
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The Metis prover (slightly modified version from Larry);
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|
168 |
val boolCompare : bool * bool -> order (* true < false *) |
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The Metis prover (slightly modified version from Larry);
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169 |
|
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The Metis prover (slightly modified version from Larry);
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|
170 |
(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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|
171 |
(* Sorting and searching. *) |
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The Metis prover (slightly modified version from Larry);
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parents:
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|
172 |
(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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173 |
|
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The Metis prover (slightly modified version from Larry);
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|
174 |
val minimum : ('a * 'a -> order) -> 'a list -> 'a * 'a list (* Empty *) |
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175 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
176 |
val maximum : ('a * 'a -> order) -> 'a list -> 'a * 'a list (* Empty *) |
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The Metis prover (slightly modified version from Larry);
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177 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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178 |
val merge : ('a * 'a -> order) -> 'a list -> 'a list -> 'a list |
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The Metis prover (slightly modified version from Larry);
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179 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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180 |
val sort : ('a * 'a -> order) -> 'a list -> 'a list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
181 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
182 |
val sortMap : ('a -> 'b) -> ('b * 'b -> order) -> 'a list -> 'a list |
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|
183 |
|
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The Metis prover (slightly modified version from Larry);
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184 |
(* ------------------------------------------------------------------------- *) |
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185 |
(* Integers. *) |
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186 |
(* ------------------------------------------------------------------------- *) |
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187 |
|
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The Metis prover (slightly modified version from Larry);
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188 |
val interval : int -> int -> int list |
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|
189 |
|
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The Metis prover (slightly modified version from Larry);
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190 |
val divides : int -> int -> bool |
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The Metis prover (slightly modified version from Larry);
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|
191 |
|
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The Metis prover (slightly modified version from Larry);
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192 |
val gcd : int -> int -> int |
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|
193 |
|
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The Metis prover (slightly modified version from Larry);
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|
194 |
val primes : int -> int list |
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195 |
|
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The Metis prover (slightly modified version from Larry);
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|
196 |
val primesUpTo : int -> int list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
197 |
|
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The Metis prover (slightly modified version from Larry);
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|
198 |
(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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|
199 |
(* Strings. *) |
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The Metis prover (slightly modified version from Larry);
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200 |
(* ------------------------------------------------------------------------- *) |
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The Metis prover (slightly modified version from Larry);
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201 |
|
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The Metis prover (slightly modified version from Larry);
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|
202 |
val rot : int -> char -> char |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
203 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
204 |
val charToInt : char -> int option |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
205 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
206 |
val charFromInt : int -> char option |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
207 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
208 |
val nChars : char -> int -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
209 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
210 |
val chomp : string -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
211 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
212 |
val trim : string -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
213 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
214 |
val join : string -> string list -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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changeset
|
215 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
216 |
val split : string -> string -> string list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
217 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
218 |
val mkPrefix : string -> string -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
219 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
220 |
val destPrefix : string -> string -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
221 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
222 |
val isPrefix : string -> string -> bool |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
223 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
224 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
225 |
(* Tables. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
226 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
227 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
228 |
type columnAlignment = {leftAlign : bool, padChar : char} |
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The Metis prover (slightly modified version from Larry);
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|
229 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
230 |
val alignColumn : columnAlignment -> string list -> string list -> string list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
231 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
232 |
val alignTable : columnAlignment list -> string list list -> string list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
233 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
234 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
235 |
(* Reals. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
236 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
237 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
238 |
val percentToString : real -> string |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
239 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
240 |
val pos : real -> real |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
241 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
242 |
val log2 : real -> real (* Domain *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
243 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
244 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
245 |
(* Sum datatype. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
246 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
247 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
248 |
datatype ('a,'b) sum = Left of 'a | Right of 'b |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
249 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
250 |
val destLeft : ('a,'b) sum -> 'a |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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changeset
|
251 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
252 |
val isLeft : ('a,'b) sum -> bool |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
253 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
254 |
val destRight : ('a,'b) sum -> 'b |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
255 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
256 |
val isRight : ('a,'b) sum -> bool |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
257 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
258 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
259 |
(* Useful impure features. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
260 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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changeset
|
261 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
262 |
val newInt : unit -> int |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
263 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
264 |
val newInts : int -> int list |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
wenzelm
parents:
diff
changeset
|
265 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
266 |
val random : int -> int |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
267 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
268 |
val uniform : unit -> real |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
changeset
|
269 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
270 |
val coinFlip : unit -> bool |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
271 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
272 |
val withRef : 'r ref * 'r -> ('a -> 'b) -> 'a -> 'b |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
273 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
274 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
diff
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|
275 |
(* The environment. *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
276 |
(* ------------------------------------------------------------------------- *) |
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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|
277 |
|
028e39e5e8f3
The Metis prover (slightly modified version from Larry);
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parents:
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|
278 |
val host : unit -> string |
028e39e5e8f3
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val time : unit -> string |
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val date : unit -> string |
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val readTextFile : {filename : string} -> string |
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val writeTextFile : {filename : string, contents : string} -> unit |
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(* ------------------------------------------------------------------------- *) |
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(* Profiling and error reporting. *) |
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(* ------------------------------------------------------------------------- *) |
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val try : ('a -> 'b) -> 'a -> 'b |
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val warn : string -> unit |
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val die : string -> 'exit |
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val timed : ('a -> 'b) -> 'a -> real * 'b |
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val timedMany : ('a -> 'b) -> 'a -> real * 'b |
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val executionTime : unit -> real (* Wall clock execution time *) |
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end |