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{"text": "\n    # eval_piecewise has the same calling convention as eval_factor.\n    # It simplifies piecewise expressions.\n    eval_piecewise := proc(e :: specfunc(piecewise),\n                           kb :: t_kb, mode :: identical(`*`,`+`),\n                           loops :: list([identical(product,Product,sum,Sum),\n                                          name=range]),\n                           $)\n      local default, kbs, pieces, i, cond, inds, res, s, r, x, b, a;\n      default := 0; # the catch-all \"else\" result\n      kbs[1] := kb;\n      for i from 1 by 2 to nops(e) do\n        if i = nops(e) then\n          default := op(i,e);\n          pieces[i] := default;\n        else\n          # Simplify piecewise conditions using KB\n          cond := op(i,e);\n          # cond := eval_factor(cond, kbs[i], `+`, []);\n          kbs[i+1] := assert(cond, kbs[i]);\n              # This condition is false in context, so delete this piece\n              # by not putting anything inside \"pieces\"\n          if kbs[i+1] :: t_kb then\n            # find all of the assertions in \"kbs[i+1] - kbs[i]\"\n            cond := map(proc(cond::[identical(assert),anything], $)\n                          op(2,cond)\n                        end proc,\n                        kb_subtract(kbs[i+1], kbs[i]));\n            if nops(cond) = 0 then\n              default := op(i+1,e);\n              pieces[i] := default;\n              break;\n            else\n              cond := `if`(nops(cond)=1, op(1,cond), And(op(cond)));\n            end if;\n          end if;\n          # TODO: Extend KB interface to optimize for\n          #       entails(kb,cond) := nops(kb_subtract(assert(cond,kb),kb))=0\n          kbs[i+2] := assert(Not(cond), kbs[i]);\n          if not(kb_entails(kbs[i], kbs[i+2])) then\n            pieces[i] := cond;\n            pieces[i+1] := op(i+1,e);\n          else\n            # This condition is false in context, so delete this piece\n            # by not putting anything inside \"pieces\"\n          end if\n        end if\n      end do;\n      # Combine duplicate branches at end\n      inds := [indices(pieces, 'nolist', 'indexorder')];\n      for i in ListTools:-Reverse(select(type, inds, 'even')) do\n        if Testzero(pieces[i]-default) then\n          pieces[i  ] := evaln(pieces[i  ]);\n          pieces[i-1] := evaln(pieces[i-1]);\n        else\n          break;\n        end if\n      end do;\n      # Special processing for when the pieces are few\n      res := [entries(pieces, 'nolist', 'indexorder')];\n      if nops(res) <= 1 then\n        return eval_factor(default, kb, mode, loops);\n      end if;\n      if nops(res) <= 3\n         and op(1,res) :: '{`=`,And(specfunc(And),Not(specfunc(Not(`=`),And)))}'\n         and Testzero(default - mode()) then\n        # Reduce product(piecewise(i=3,f(i),1),i=1..10) to f(3)\n        r := op(1,res);\n        r := `if`(r::`=`, And(r), select(type,r,`=`));\n        for i from 1 to nops(loops) do\n          x := op([i,2,1],loops);\n          s, r := selectremove(depends, r, x);\n          for cond in s do\n            if ispoly(lhs(cond)-rhs(cond), 'linear', x, 'b', 'a') then\n              b := Normalizer(-b/a);\n              if kb_entails(kb,\n                            And(b :: integer,\n                                op([i,2,2,1],loops) <= b,\n                                b <= op([i,2,2,2],loops))\n                            ) then\n                kb := assert(x=b, kb);# TODO: why not just use kb?\n                ASSERT(type(kb,t_kb), \"eval_piecewise{product of pw}: not a kb\");\n                res := `if`(op(1,res) = cond,\n                            op(2,res),\n                            piecewise(bool_And(op(remove(`=`, op(1,res), cond))),\n                                      op(2..-1,res)));\n                return eval_factor(eval(res, x=b),\n                                   kb,\n                                   mode,\n                                   eval(subsop(i=NULL, loops), x=b));\n              end if;\n            end if;\n          end do;\n          if nops(r) = 0 then break end if;\n        end do;\n      end if;\n      # Recursively process pieces\n      inds := [indices(pieces, 'nolist', 'indexorder')];\n      for i in inds do\n        if i::even or i=op(-1,inds) then\n          # only simplify if the piece is not default;\n          # note that kbs[i] could be NotAKB(), but this is still valid\n          if not Testzero(pieces[i] - default) then\n            pieces[i] := eval_factor(pieces[i], kbs[i], mode, []);\n          end if;\n        end if;\n      end do;\n      res := piecewise(entries(pieces, 'nolist', 'indexorder'));\n      for i in loops do res := op(1,i)(res, op(2,i)) end do;\n      return res;\n    end proc;\n", "meta": {"hexsha": "5a7068cb003faa32691e36ee9267ec6294afcf91", "size": 4674, "ext": "mpl", "lang": "Maple", "max_stars_repo_path": "maple/NewSLO/Piecewise.mpl", "max_stars_repo_name": "zaxtax/hakaru", "max_stars_repo_head_hexsha": "03ac5b645815e99437e28d228e6c668753b2640e", "max_stars_repo_licenses": ["BSD-3-Clause"], "max_stars_count": 4, "max_stars_repo_stars_event_min_datetime": "2015-02-07T17:57:04.000Z", "max_stars_repo_stars_event_max_datetime": "2016-01-29T19:40:24.000Z", "max_issues_repo_path": "maple/NewSLO/Piecewise.mpl", "max_issues_repo_name": "zaxtax/hakaru", "max_issues_repo_head_hexsha": "03ac5b645815e99437e28d228e6c668753b2640e", "max_issues_repo_licenses": ["BSD-3-Clause"], "max_issues_count": null, "max_issues_repo_issues_event_min_datetime": null, "max_issues_repo_issues_event_max_datetime": null, "max_forks_repo_path": "maple/NewSLO/Piecewise.mpl", "max_forks_repo_name": "zaxtax/hakaru", "max_forks_repo_head_hexsha": "03ac5b645815e99437e28d228e6c668753b2640e", "max_forks_repo_licenses": ["BSD-3-Clause"], "max_forks_count": null, "max_forks_repo_forks_event_min_datetime": null, "max_forks_repo_forks_event_max_datetime": null, "avg_line_length": 41.7321428571, "max_line_length": 81, "alphanum_fraction": 0.458707745, "num_tokens": 1208, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. NO", "lm_q1_score": 0.5544704649604273, "lm_q2_score": 0.331119752830196, "lm_q1q2_score": 0.18359612330934055}}
{"text": "SemiAlgebraic := module()\n    uses Domain, Domain_Type, SolveTools, Utilities;\n    export SimplName  := \"SemiAlgebraic\";\n    export SimplOrder := 6+(1/2);\n\n    export ModuleApply := proc(dbnds :: DomBound, dshape :: DomShape, $)\n        local vs;\n        vs := ListTools[Reverse](Domain:-Bound:-varsOf(dbnds));\n        vs := map(v->if v::list then op(1,v) else v end if, vs);\n        do_sh( dshape , dbnds, vs );\n    end proc;\n\n    local extra_sol := (c -> c::`=` and (lhs(c)::DomBoundVar and evalb(lhs(c)=rhs(c))));\n    local postproc := proc(sol, $)\n      foldl((x,k)->subsindets(x,op(k)), sol\n           ,[specfunc('piecewise')\n            ,x->DSplit(Partition:-PWToPartition(x,'check_valid'))]\n           ,[list(list),DSum@op]\n           ,[list(relation),x->DConstrain(remove(extra_sol,x)[])]);\n    end proc;\n\n    # Check for trivial solutions, which are rejected because they are not an\n    # improvement in terms of Hakaru semantics (but SemiAlgebraic doesn't know\n    # anything about that)\n    local trivial_sol := proc(sh :: DomShape, ctx :: DomBound, $)\n      local ps, vs, vsc;\n      if sh::DomConstrain then\n        nops(sh)=0\n      elif sh::DomSplit then\n        # we assume that the conditions of a solution of SemiAlgebraic cover the\n        # entire domain, so it is left to check only the values\n        ps := KB:-kb_Partition( op(1,sh), Domain:-Bound:-contextOf(ctx),\n                               ((x_,y_)->true), #unused dummy to pass typechecks\n                               ((v,kb)->trivial_sol\n                                  (v,Domain:-Bound:-onContext(_->kb,ctx))) );\n        `and`(op(map(evalb@Partition:-valOf,Partition:-piecesOf(ps))));\n      elif sh::DomSum then\n        if nops(sh)<>2 then return false end if;\n        if ormap(s->not(s::DomConstrain) or nops(s)<>1,sh)\n        then return false; end if;\n        vs := Domain:-Bound:-varsOf(ctx,\"set\");\n        vsc := map((v->(v,-v)), vs);\n        ps := map2(op,1,[op(sh)]);\n        ps := map(p->classify_relation(p,v->v in vsc), ps);\n        if not(has(ps, {B_LO,B_HI})) then return false; end if;\n        if not(the(map2(op,3,ps))) then return false; end if;\n        if not(the(map(abs,map2(op,4,ps)))) then return; false end if;\n        return true;\n      elif sh::DomInto then\n        error \"solution should not have DIntos: %1\", sh;\n      else\n        error \"unrecognized DomShape: %1\", sh;\n      end if;\n    end proc;\n\n    local do_sh := proc( sh :: DomShape, ctx :: DomBound, vs, $)\n        local sol;\n        if sh :: DomConstrain then\n            sol := do_Constrain(sh, ctx, vs);\n            sol := `if`(sol::DomShape, sol, postproc(sol));\n            if not(sol::DomNoSol) and trivial_sol(sol, ctx) then\n              userinfo(3, Domain:-Improve,\n                       printf(\"Discarding solution: %a\\n\", sol));\n              sh;\n            else sol end if;\n        elif sh :: DomSplit then\n            DSplit(Partition:-Amap(\n              [ (c,_)->c\n              , (p,c)-> p->do_sh(p, applyop(cs->{c,op(cs)},2,ctx), vs)\n              , c->c ], op(1, sh) ));\n        elif sh :: DomSum then\n            map(s->do_sh(s, ctx, vs), sh);\n        else\n            DNoSol(sprintf(\"Don't know how to solve DOMAIN(%a, %a)\", ctx, sh));\n        end if;\n    end proc;\n\n    local do_Constrain := proc( sh :: DomConstrain , ctx, vs_, $ )\n        local ts, vs := vs_, cs;\n        cs := { op( Domain:-Bound:-toConstraints(ctx,'no_infinity') ), op(sh) } ;\n        ts, cs := selectremove(type, cs, `::`);\n        ts := select(t->op(2,t)<>real, ts);\n        if ts <> {} and has(cs,ts) then\n          WARNING(\"Variables of unrecognized types being passed to SemiAlgebraic: %1\",ts);\n        end if;\n        try SemiAlgebraic(cs, vs);\n        catch: DNoSol(StringTools[FormatMessage](lastexception[2..-1]));\n        end try;\n    end proc;\nend module; #SemiAlgebraic\n", "meta": {"hexsha": "36e747cfbbb0f190674f2acb395fc8caff205ff5", "size": 3843, "ext": "mpl", "lang": "Maple", "max_stars_repo_path": "maple/Domain/Improve/SemiAlgebraic.mpl", "max_stars_repo_name": "vmchale/hakaru", "max_stars_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_stars_repo_licenses": ["BSD-3-Clause"], "max_stars_count": 327, "max_stars_repo_stars_event_min_datetime": "2015-01-03T08:56:51.000Z", "max_stars_repo_stars_event_max_datetime": "2022-01-24T12:12:06.000Z", "max_issues_repo_path": "maple/Domain/Improve/SemiAlgebraic.mpl", "max_issues_repo_name": "vmchale/hakaru", "max_issues_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_issues_repo_licenses": ["BSD-3-Clause"], "max_issues_count": 155, "max_issues_repo_issues_event_min_datetime": "2015-05-05T17:57:22.000Z", "max_issues_repo_issues_event_max_datetime": "2022-03-30T15:43:39.000Z", "max_forks_repo_path": "maple/Domain/Improve/SemiAlgebraic.mpl", "max_forks_repo_name": "vmchale/hakaru", "max_forks_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_forks_repo_licenses": ["BSD-3-Clause"], "max_forks_count": 38, "max_forks_repo_forks_event_min_datetime": "2015-01-23T16:25:37.000Z", "max_forks_repo_forks_event_max_datetime": "2021-03-14T15:09:12.000Z", "avg_line_length": 42.2307692308, "max_line_length": 90, "alphanum_fraction": 0.5472287276, "num_tokens": 1078, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. NO", "lm_q1_score": 0.523420348936324, "lm_q2_score": 0.3486451285660856, "lm_q1q2_score": 0.1824879548490101}}
{"text": "repeat process ACV_smoothTeleportation {\n/scoreboard players reset @e ACV_TP_FROM\n/scoreboard players reset @e ACV_TP_UNEVEN\n/scoreboard players reset @e ACV_TP_TO\n/scoreboard players reset @e ACV_TP_IR\n/scoreboard players reset @e ACV_TP_OR\n/scoreboard players reset @e ACV_TP_RD\n\n/execute @e[type=area_effect_cloud,name=ACV_PortalIn] ~ ~ ~ scoreboard players operation @e[tag=!ACV_TpProof,dy=0] ACV_TP_FROM = @e[type=area_effect_cloud,name=ACV_PortalIn,r=0,c=1] ACV_COLOR\n\n// Calulate the target portal\n/execute @e[score_ACV_TP_FROM_min=0] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_FROM_min=0,r=0,c=1] ACV_TP_TO = @e[score_ACV_TP_FROM_min=0,r=0,c=1] ACV_TP_FROM\n/execute @e[score_ACV_TP_FROM_min=0] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_FROM_min=0,r=0,c=1] ACV_TP_UNEVEN = @e[score_ACV_TP_FROM_min=0,r=0,c=1] ACV_TP_FROM\n/scoreboard players operation @e[score_ACV_TP_FROM_min=0] ACV_TP_UNEVEN %= 2 ACV_CONSTANT\n/scoreboard players add @e[score_ACV_TP_UNEVEN_min=0,score_ACV_TP_UNEVEN=0] ACV_TP_TO 1\n/scoreboard players remove @e[score_ACV_TP_UNEVEN_min=1,score_ACV_TP_UNEVEN=1] ACV_TP_TO 1\n\n// Assign In-Rotation\n/execute @e[type=area_effect_cloud,name=ACV_PortalIn] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_TO_min=0,dy=0] ACV_TP_IR = @e[type=area_effect_cloud,name=ACV_PortalIn,r=0,c=1] ACV_DIRECTION\n\n// Lightbridges must be rotated to look away from the portal, because the idle bridge is a fresh summon that always looks south\n/scoreboard players set @e[tag=ACV_RotationProof] ACV_TP_IR -1\n\n// Assign Out-Rotation\n\n// Bug Workaround: https://bugs.mojang.com/browse/MC-89667\n// /tp @e[score_ACV_TP_TO_min=0,score_ACV_TP_TO=0] @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=0,score_ACV_COLOR=0]\n// /tp @e[score_ACV_TP_TO_min=1,score_ACV_TP_TO=1] @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=1,score_ACV_COLOR=1]\n// /tp @e[score_ACV_TP_TO_min=2,score_ACV_TP_TO=2] @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=2,score_ACV_COLOR=2]\n// /tp @e[score_ACV_TP_TO_min=3,score_ACV_TP_TO=3] @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=3,score_ACV_COLOR=3]\n///execute @e[name=ACV_PortalOut] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_TO_min=0,tag=!ACV_TpProof,dy=0] ACV_TP_OR = @e[r=0,c=1] ACV_DIRECTION\n\n// Bug Workaround: https://bugs.mojang.com/browse/MC-89667\n/scoreboard players operation @e[score_ACV_TP_TO_min=0,score_ACV_TP_TO=0] ACV_TP_OR = @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=0,score_ACV_COLOR=0] ACV_DIRECTION\n/scoreboard players operation @e[score_ACV_TP_TO_min=1,score_ACV_TP_TO=1] ACV_TP_OR = @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=1,score_ACV_COLOR=1] ACV_DIRECTION\n/scoreboard players operation @e[score_ACV_TP_TO_min=2,score_ACV_TP_TO=2] ACV_TP_OR = @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=2,score_ACV_COLOR=2] ACV_DIRECTION\n/scoreboard players operation @e[score_ACV_TP_TO_min=3,score_ACV_TP_TO=3] ACV_TP_OR = @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=3,score_ACV_COLOR=3] ACV_DIRECTION\n\n// Rotation Calculation\n/execute @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_RD = @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_IR\n/execute @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_RD -= @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_OR\n/execute @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0] ~ ~ ~ scoreboard players add @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_RD 4\n/execute @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0] ~ ~ ~ scoreboard players operation @e[score_ACV_TP_IR_min=0,score_ACV_TP_OR_min=0,r=0,c=1] ACV_TP_RD %= 4 ACV_CONSTANT\n\n// Teleport the entity to the other portal\n\n// Bug Workaround: https://bugs.mojang.com/browse/MC-89667\n/execute @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=0,score_ACV_COLOR=0] ~ ~ ~ teleport @e[score_ACV_TP_TO_min=0,score_ACV_TP_TO=0] ~ ~ ~\n/execute @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=1,score_ACV_COLOR=1] ~ ~ ~ teleport @e[score_ACV_TP_TO_min=1,score_ACV_TP_TO=1] ~ ~ ~\n/execute @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=2,score_ACV_COLOR=2] ~ ~ ~ teleport @e[score_ACV_TP_TO_min=2,score_ACV_TP_TO=2] ~ ~ ~\n/execute @e[type=area_effect_cloud,name=ACV_PortalOut,score_ACV_COLOR_min=3,score_ACV_COLOR=3] ~ ~ ~ teleport @e[score_ACV_TP_TO_min=3,score_ACV_TP_TO=3] ~ ~ ~\n\n// Rotate the entity\n/tp @e[score_ACV_TP_RD_min=0,score_ACV_TP_RD=0] ~ ~ ~ ~180 ~\n/tp @e[score_ACV_TP_RD_min=1,score_ACV_TP_RD=1] ~ ~ ~ ~90 ~\n//tp @e[score_ACV_TP_RD_min=2,score_ACV_TP_RD=2] ~ ~ ~ ~0 ~\n/tp @e[score_ACV_TP_RD_min=3,score_ACV_TP_RD=3] ~ ~ ~ ~-90 ~\n\n// when IR is up or down, but OR is on a wall (or it is a lightbridge)\n/tp @e[score_ACV_TP_IR=-1,score_ACV_TP_OR_min=0,score_ACV_TP_OR=0] ~ ~ ~ 0 ~\n/tp @e[score_ACV_TP_IR=-1,score_ACV_TP_OR_min=1,score_ACV_TP_OR=1] ~ ~ ~ 90 ~\n/tp @e[score_ACV_TP_IR=-1,score_ACV_TP_OR_min=2,score_ACV_TP_OR=2] ~ ~ ~ 180 ~\n/tp @e[score_ACV_TP_IR=-1,score_ACV_TP_OR_min=3,score_ACV_TP_OR=3] ~ ~ ~ -90 ~\n\n// Lightbridges must look also look away from horizontal portals\n/tp @e[tag=ACV_RotationProof,score_ACV_TP_OR_min=-1,score_ACV_TP_OR=-1] ~ ~ ~ ~ -90\n/tp @e[tag=ACV_RotationProof,score_ACV_TP_OR_min=-2,score_ACV_TP_OR=-2] ~ ~ ~ ~ 90\n}\n", "meta": {"hexsha": "43305f12329510eb7f7028824cf6fbe27b551883", "size": 5555, "ext": "mpl", "lang": "Maple", "max_stars_repo_path": "src/main/mpl/ACV_smoothTeleportation.mpl", "max_stars_repo_name": "Adrodoc55/ApertureCraftVanilla", "max_stars_repo_head_hexsha": "fe24660a2b0cf54cf68074f380f1ea49fa2c5bf9", 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{"text": "### Domain abstraction\n\n# A domain is abstractly a pair of a \"square\" domain (a product of square\n# domains, or an interval), the domain \"bounds\", and a domain \"shape\". The\n# domain \"bounds\" are essentially the variables, each with the type of domain\n# (Int,Sum, etc) ; the domains \"shape\" is sums of products of constraints\n# (relations) on the domain, interspersed with 'makes' (DInto) which parametrize\n# a subdomain by one of the domain variables ('picking' a particular\n# parametrization of the domain, in which one variable is fixed in subsequent\n# \"shape\" constructors).\n\n# the seperation between the two 'stages' of domain exists mainly because\n# certain simplifications need to happen after extracting the domain\n# bounds but before extracting the domain shape, as the shape ends up\n# becoming part of the bounds of an inner simplification.\n\n# Broad TODOs:\n#\n# Mechanism for 'checking if' and 'making' constraints about variables should\n#   be abstracted out into its own module (it is needed in multiple places, and\n#   done sort of ad-hoc) (this could be fixed by a broader design - see \"merging\n#   KB with Domain\")\n#\n# DInto should also optionally omit the bounds if they are identical to the\n#   bounds in the a-priori domain bounds (i.e. just `DInto(x)`); DInto sort of\n#   means 'we've solved this bound in this subcontext' but the `DInto`s where\n#   the bound is identically the a-priori bound are erased (as they should be)\n#   - we want a slightly seperate form to mean \"we are done improving this\", but\n#   we still want to be able to omit bounds which would be identical. It should\n#   also allow specifying only a subset of the bounds.\n#\n# A more granular interface for composing/re-composing simplifiers, including\n#   call simplifier A {before/after} B\n#\n# Domain bounds should store a representation of 'dependancy' of variables\n#   (a more refined representation; the current one is a linear order of variables)\n#   Basically we want a list of graphs, nodes are variables and edges are\n#   variable dependencies. If each graph is acyclic, the variable dependency\n#   in the bounds is valid. e.g.\n#     [x=0..1, y=0..1, z=0..1]  =>  [ {[x, {}]}, {[y, {}]}, {[z, {}]} ]\n#     [x=0..1, y=x..1, z=0..y]  =>  [ {[z, {y}], [y, {x}], [x, {}]} ]\n#   This generalizes the previous notion of variable order, although in certain\n#     cases it is ambiguous what the 'original' order was. This is only when\n#     there are variable dependencies, so perhaps this isn't a big deal - we may\n#     want to rearrange the dependant bounds even when there is no 'interesting'\n#     constraint to solve in the shape, because we know a particular order will\n#     be better in some way.\n#   The graph is probably not a convenient place to store the variable bounds.\n#    (this is one of the big reasons we want to view the variables as a table -\n#    we have lots of different information for which the convenient formats are\n#    all different)\n#\n# Long term, KB and Domain should be merged, as their functionality overlaps\n#   quite a bit; basically\n#     - Introduce becomes a variable in DBound\n#     - Constrain becomes DConstrain\n#     - DBound becomes DInto\n#     - Let becomes (probably?) a one piece partition,\n#           or maybe a new variable type\n#          (it doesn't seem to appear in present code?)\n#  Logically, this is at most an ephemeral change - Domain already generalizes\n#   KB. But mechanically it is no small undertaking.\n#  assert_deny becomes a \"DConstrain\" smart constructor (note that in the\n#   current AST for Domain, DConstrain appears only at leaves, i.e. products\n#   are pushed all the way down; whereas KB is 'flat') but the shape of domains\n#   means it is probably much simpler to 'normalize' the constraints all at\n#   once, as opposed to when every constrain is inserted, as KB currently does.\n#  kb_subtract becomes a similar `domain_combine` function (kb_subtract is really\n#   an 'combine' as well as a 'deconstruct into a way to rebuild the KB' together in\n#   one - we don't really need the 'deconstruct' part anymore, but 'add' is\n#   still useful) - basically this function takes two domains, checks if the\n#   variables of the first are a subset of the second (non commutative!) and if\n#   so, combines the shapes according to the passed 'shape constructor'; all of\n#   the constructors (aside from DInto)\n#  gen{whatever} becomes a part of `Domain:-Extract` - basically we will not\n#   have `gen` as part of the \"interface\" to KB+Domain, but rather an entry in\n#   the `Ext` function tables.\n#  most of the other functions in KB can be basically literally translated to\n#    the subset of Domain which corresponds to KB\n\n# The `Domain' type, i.e., its constructors. For a description of the\n# intended semantics (as an algebraic datatype), see Domain/Types.mpl\nDomain_Type := module()\n  option package;\n  export\n    DOMAIN, DBound, DConstrain, DSum,\n    # These intentionally have no definition\n    DSplit, DInto, DNoSol;\n\n  DOMAIN := proc()\n    local errs := indets([args[2..-1]], specfunc(`DNoSol`));\n    if errs <> {} then\n      'procname'(args[1], 'DNoSol'(map(op,errs)[]));\n    end if;\n    'procname'(args);\n  end proc;\n\n  DBound := proc(a)\n    local b,cs;\n    b := `if`(nargs>=2,[args[2]],[KB:-empty])[];\n    cs := `if`(nargs>=3,[args[3..-1]],[])[];\n    'procname'(a,b,cs) ;\n  end proc;\n\n  DConstrain := proc()\n    local as := {args};\n    if false in as then return DSum() end if;\n    as := remove(x->x::identical(false),as);\n    'procname'(op(as));\n  end proc;\n\n  DSum := proc()\n    local as := [args];\n    as := subsindets(as, specfunc(`DSum`), xs->\n                     map(x->if op(0,x)=`DSum` then op(x) else x end if,\n                         xs));\n    if nops(as) = 1 then return op(1,as) end if;\n    'procname'(op(as));\n  end proc;\nend module;\n\nDomain := module()\n    uses Hakaru, Utilities, Partition, SolveTools[Inequality], Domain_Type ;\n\n    local ModuleLoad := proc($)\n      local g;\n      BindingTools:-load_types_from_table(DomainTypes);\n\n      #op([2,6], ...) of a module is its globals.\n      for g in op([2,6], thismodule) do\n        if g <> eval(g) then\n          unassign(g);\n          WARNING(\"Previous value of global name '%1' erased.\", g)\n        end if;\n        protect(g);\n      end do;\n      Apply:-ModuleLoad(); # Needed to load types properly (?)\n    end proc;\n\n    local ModuleUnload := proc($) NULL; end proc;\n\n    # Extending domain extraction and replacement.\n    export ExtBound := table();\n    export ExtShape := table();\n\n    export Set_ExtBound := proc(nm,val,$)\n      unprotect(Domain:-ExtBound);\n      Domain:-ExtBound[nm] := val;\n      protect(Domain:-ExtBound);\n    end proc;\n\n    export Set_ExtShape := proc(nm,val,$)\n      unprotect(Domain:-ExtShape);\n      Domain:-ExtShape[nm] := val;\n      protect(Domain:-ExtShape);\n    end proc;\n\n$include \"Domain/Has.mpl\"\n$include \"Domain/Bound.mpl\"\n$include \"Domain/Shape.mpl\"\n$include \"Domain/Types.mpl\"\n$include \"Domain/Extract.mpl\"\n$include \"Domain/Apply.mpl\"\n$include \"Domain/Improve.mpl\"\n\n    local default_handlers :=\n      Record('f_apply'=((f,x)->f(x)), 'f_nosimp'=(_->FAIL));\n\n    # The main interface to Domain\n    export Reduce :=\n      proc(e0,dom_ctx::t_kb,handlers0,opts:=[],$)\n      local e := e0, dom_specb, dom_specw, dom_spec, dom_ctx1, rn, ws\n          , handlers := merge_record_default(default_handlers, handlers0)\n          , apply_ctx ;\n\n      # Build the domain\n      dom_specb, e, ws := op(Domain:-Extract:-Bound(e));\n      # No simplification needed if the bounds are empty\n      if Domain:-Bound:-isEmpty(dom_specb)\n      then return handlers:-f_nosimp(e0) end if;\n      # Bounds are converted to a KB to use during extraction of the shape\n      dom_ctx1, rn := Domain:-Bound:-toKB(dom_specb)[];\n      dom_specb, e, ws := subs(rn,[dom_specb,e,ws])[];\n      dom_specw, e := op(Domain:-Extract:-Shape(e, dom_ctx1));\n      # Append the outer context (a KB) to the domain bounds\n      dom_specb := DBound(op(1,dom_specb), dom_ctx);\n      # Create the actual domain\n      dom_spec := DOMAIN(dom_specb, dom_specw);\n\n      # Improve, if necessary, then apply back to the expression\n      if dom_specw <> DConstrain() and not (\"no_domain\" in {opts[]})\n      then dom_spec := Domain:-Improve(dom_spec) end if;\n\n      # The handlers which are used by Domain:-Apply\n      apply_ctx := Record[handlers]('weights'=table(ws),-'f_apply',-'f_nosimp');\n      handlers:-f_apply(Domain:-Apply(dom_spec, apply_ctx), e);\n    end proc;\n\n    ModuleLoad();\nend module;\n", "meta": {"hexsha": "fb8839421480d1ca7f64cd3902c81c04e139da8e", "size": 8517, "ext": "mpl", "lang": "Maple", "max_stars_repo_path": "maple/Domain.mpl", "max_stars_repo_name": "vmchale/hakaru", "max_stars_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_stars_repo_licenses": ["BSD-3-Clause"], "max_stars_count": 327, "max_stars_repo_stars_event_min_datetime": "2015-01-03T08:56:51.000Z", "max_stars_repo_stars_event_max_datetime": "2022-01-24T12:12:06.000Z", "max_issues_repo_path": "maple/Domain.mpl", "max_issues_repo_name": "vmchale/hakaru", "max_issues_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_issues_repo_licenses": ["BSD-3-Clause"], "max_issues_count": 155, "max_issues_repo_issues_event_min_datetime": "2015-05-05T17:57:22.000Z", "max_issues_repo_issues_event_max_datetime": "2022-03-30T15:43:39.000Z", "max_forks_repo_path": "maple/Domain.mpl", "max_forks_repo_name": "vmchale/hakaru", "max_forks_repo_head_hexsha": "78922e13876e449d6812a55a11bf84c8eb0af4d6", "max_forks_repo_licenses": ["BSD-3-Clause"], "max_forks_count": 38, "max_forks_repo_forks_event_min_datetime": "2015-01-23T16:25:37.000Z", "max_forks_repo_forks_event_max_datetime": "2021-03-14T15:09:12.000Z", "avg_line_length": 42.3731343284, "max_line_length": 84, "alphanum_fraction": 0.6727721029, "num_tokens": 2284, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. 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