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2013-01-02 20:45
README.prev
30.98
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2013-01-01 15:37
calc-aent.elc
26.25
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2023-06-07 04:11
calc-alg.elc
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2023-06-07 04:11
calc-arith.elc
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calc-bin.elc
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calc-comb.elc
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calc-cplx.elc
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calc-embed.elc
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calc-ext.elc
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2023-06-07 04:11
calc-fin.elc
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2023-06-07 04:11
calc-forms.elc
47.54
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2023-06-07 04:11
calc-frac.elc
6.07
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calc-funcs.elc
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calc-graph.elc
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calc-help.elc
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calc-incom.elc
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calc-keypd.elc
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calc-lang.elc
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calc-loaddefs.el
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calc-macs.elc
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calc-map.elc
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calc-math.elc
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calc-menu.elc
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calc-misc.elc
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calc-mode.elc
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calc-mtx.elc
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calc-nlfit.elc
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2023-06-07 04:12
calc-poly.elc
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calc-prog.elc
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calc-rewr.elc
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calc-rules.elc
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calc-sel.elc
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calc-stat.elc
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calc-store.elc
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calc-stuff.elc
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calc-trail.elc
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calc-undo.elc
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calc-units.elc
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calc-vec.elc
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calc-yank.elc
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calc.elc
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calcalg2.elc
78.94
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calcalg3.elc
41.76
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calccomp.elc
33.11
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2023-06-07 04:12
calcsel2.elc
5.98
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;ELC ;;; Compiled by mockbuild@buildfarm06.corp.cloudlinux.com on Wed Jun 7 08:11:51 2023 ;;; from file /builddir/build/BUILD/emacs-24.3/lisp/calc/calc-alg.el ;;; in Emacs version 24.3.1 ;;; with all optimizations. ;;; This file uses dynamic docstrings, first added in Emacs 19.29. ;;; This file does not contain utf-8 non-ASCII characters, ;;; and so can be loaded in Emacs versions earlier than 23. ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (byte-code "\300\301!\210\300\302!\207" [require calc-ext calc-macs] 2) (defalias 'calc-alg-evaluate #[(arg) "\300\301`\"\207" [calc-do #[nil "\303>?\205 \304\305\n!\210\306\307\310\311\307!#*\207" [calc-simplify-mode math-simplify-only arg (none num) nil calc-modify-simplify-mode calc-enter-result 1 "dsmp" calc-top] 5]] 3 nil "p"]) (defalias 'calc-modify-simplify-mode #[(arg) "\302!\303U\203 \304\202 \302!\305Y\203 \306\307W\205! C\211\207" [arg calc-simplify-mode math-abs 2 alg 3 ext 0] 2]) (defalias 'calc-simplify #[nil "\300\301`\"\207" [calc-do #[nil "\302\303!\304 \203 \305\306\307!!)\310 \203 \305\306\311!!) \312>?\205( \313\303\314\315!#*\207" [top calc-simplify-mode calc-top-n 1 calc-is-inverse nil math-normalize math-trig-rewrite calc-is-hyperbolic math-hyperbolic-trig-rewrite (none num) calc-enter-result "simp" math-simplify] 5]] 3 nil nil]) (defalias 'calc-simplify-extended #[nil "\300\301`\"\207" [calc-do #[nil "\301>?\205 \302\303\304\305\306\303!!#)\207" [calc-simplify-mode (none num) calc-enter-result 1 "esmp" math-simplify-extended calc-top-n] 6]] 3 nil nil]) (defalias 'calc-expand-formula #[(arg) "\300\301`\"\207" [calc-do #[nil "\305>?\205 \306\307\n!\210\310\311\312\n\313V\203! \314\315\311!)\202- \315\311! \316\f!\206, \f)#*\207" [calc-simplify-mode math-simplify-only arg math-expand-formulas top (none num) nil calc-modify-simplify-mode calc-enter-result 1 "expf" 0 t calc-top-n math-expand-formula] 5]] 3 nil "p"]) (defalias 'calc-factor #[(arg) "\300\301`\"\207" [calc-do #[nil "\301\302\303 \203 \304\202\f \305#\207" [arg calc-unary-op "fctr" calc-is-hyperbolic calcFunc-factors calcFunc-factor] 4]] 3 nil "P"]) (defalias 'calc-expand #[(n) "\300\301`\"\207" [calc-do #[nil "\301\302\303\304\305\306\302!D\205 \307!C\"#\207" [n calc-enter-result 1 "expa" append calcFunc-expand calc-top-n prefix-numeric-value] 7]] 3 nil "P"]) (defalias 'calcFunc-powerexpand #[(expr) "\301\302\303\"!\207" [expr math-normalize math-map-tree math-powerexpand] 4]) (defalias 'math-powerexpand #[(expr) "\242\305=\203l \3068\211\250\2037 \307V\2037 \310A@A@\211 W\2032 \311\n \"\fT\211\202! \n+\202j \250\203i \307W\203i \312\313A@\312\"\313A@\312\"\211 V\203d \311 \n\"\fS\211\202S \n+\202j )\207\207" [expr n prod a i ^ 2 0 1 math-mul -1 math-pow] 6]) (defalias 'calc-powerexpand #[nil "\300\301`\"\207" [calc-do #[nil "\300\301\302\303\304\301!!#\207" [calc-enter-result 1 "pexp" calcFunc-powerexpand calc-top-n] 6]] 3 nil nil]) (defalias 'calc-collect #[(&optional var) "\300\301`\"\207" [calc-do #[nil "\301\232\204 \302\232\204 \204 \303\304\305\306\307\304!B#\207\310!\211\242\311=\203, \311\312A@\"\210\303\313\305\306\314\313!E#)\207" [var "" "$" calc-enter-result 2 "clct" calcFunc-collect calc-top-list-n math-read-expr error "Bad format in expression: %s" 1 calc-top-n] 7]] 3 nil "sCollect terms involving: "]) (defalias 'calc-apart #[(arg) "\300\301`\"\207" [calc-do #[nil "\301\302\303#\207" [arg calc-unary-op "aprt" calcFunc-apart] 4]] 3 nil "P"]) (defalias 'calc-normalize-rat #[(arg) "\300\301`\"\207" [calc-do #[nil "\301\302\303#\207" [arg calc-unary-op "nrat" calcFunc-nrat] 4]] 3 nil "P"]) (defalias 'calc-poly-gcd #[(arg) "\300\301`\"\207" [calc-do #[nil "\301\302\303#\207" [arg calc-binary-op "pgcd" calcFunc-pgcd] 4]] 3 nil "P"]) (defalias 'calc-poly-div #[(arg) "\300\301`\"\207" [calc-do #[nil "\303\304\305\306 #\210\205R ?\205R \307\310!\210\311\312\"\210\211:\203> \n@\313>?\205A \n@\314=\2038 \nA@\315=\202A \316\n!\202A \n\315=)\204O \317\320\321\315\"\"\202R \317\322!)\207" [calc-poly-div-remainder arg a nil calc-binary-op "pdiv" calcFunc-pdiv calc-clear-command-flag clear-message calc-record "prem" (bigpos bigneg) float 0 math-zerop message "(Remainder was %s)" math-format-flat-expr "(No remainder)"] 6]] 3 nil "P"]) (defalias 'calc-poly-rem #[(arg) "\300\301`\"\207" [calc-do #[nil "\301\302\303#\207" [arg calc-binary-op "prem" calcFunc-prem] 4]] 3 nil "P"]) (defalias 'calc-poly-div-rem #[(arg) "\300\301`\"\207" [calc-do #[nil "\301 \203 \302\303\304#\207\302\303\305#\207" [arg calc-is-hyperbolic calc-binary-op "pdvr" calcFunc-pdivide calcFunc-pdivrem] 4]] 3 nil "P"]) (defalias 'calc-substitute #[(&optional oldname newname) "\300\301`\"\207" [calc-do #[nil "\306\211\307\306\f\310\232\204 \f\311\232\204 \f\204) \312\307!\312\313!\312\314!\314\202\233 \2049 \315\307!\210\316\317\f\320Q\f\" \310\232\204I \311\232\204I \204V \312\307!\312\313!\313\202u ;\203a \321 !\202b \211\242\322=\203q \322\323\nA@\"\210\312\307!\f;\203\200 \321\f!\202\201 \f\211\242\322=\203\220 \322\323 A@\"\210\324 \"\204\233 \322\325!\210\326 \327\330 \n##,\207" [expr num new old oldname newname nil 1 "" "$" calc-top-n 2 3 calc-unread-command read-string "Substitute old: " ", new: " math-read-expr error "Bad format in expression: %s" math-expr-contains "No occurrences found" calc-enter-result "sbst" math-expr-subst] 8]] 3 nil "sSubstitute old: "]) (defalias 'calc-has-rules #[(name) "\301!\211:\205 @\302>\205 \207" [name calc-var-value (vec calcFunc-assign calcFunc-condition)] 3]) (defalias 'math-recompile-eval-rules #[nil "\303\304!\205 \305\306!\307\236\310\304!\211\207" [math-eval-rules-cache math-eval-rules-cache-other math-eval-rules-cache-tag calc-has-rules var-EvalRules math-compile-rewrites (var EvalRules var-EvalRules) nil calc-var-value] 2]) (defalias 'math-expand-formula #[(expr) ":\205. @9\205. @\303N\204 @\304N\205. \305\306@A\")\211\242@=?\205- \n)\207" [expr math-expand-formulas res calc-user-defn math-expandable t apply] 4]) (defalias 'math-beforep #[(a b) "\211:?\206\f @\303>)\203E \211:?\206 @\303>)\203E \304 \"\211\305=\206C \n\306=\205C \232?\205C \242\307>G \242\310>GV)\207 \311\232\203M \312\207\313\232\203U \314\207\315\232\203] \312\207 \316\232\203e \314\207\211:?\206q @\303>)\203\237 \242\317=\203\235 \320 !\203\235 \321\322 8\"\204\233 \322 8\304 \"\306U*\205\236 \314\207\314\207 \211:?\206\253 @\303>)\203\307 \242\317=\205\306 \320!\205\375\321\3228 \"\205\306 \314\207@\317=\203Z @\317=\203Z\320!\203Z\320 !\203Z\304\3228\322 8\"\211\305=\203\364 \314\202X\n\323=\203\376 \312\202XA@\324>\203 A@\325>\203\314\202XA@\326>\203& A@\327>\203&\312\202X\304\3308\330 8\"\211\305=\2039\314\202X\n\323=\203C\312\202XA@\331>\203W A@\332>\203W\314\202X\312)\207\211:?\206f@\333>)? \211:?\206t@\333>)?=\204\210\211:?\206\206@\333>)\207@\334=\203\261 @\334=\203\242\335A@!\335 A@!\231\207 \211:?\206\256@\336>)?\207 @\334=\203\306\211:?\206\304@\336>)\207@ @=\203\364A A\211\203\344\203\344@ @\232\204\316 \205\375?\206\363\321@ @\"\207\335@!\335 @!\231\207" [a b comp (bigpos bigneg frac float) math-compare -1 0 (bigneg nil bigpos frac float) (bigneg nil bigpos frac float) (neg (var inf var-inf)) nil (neg (var inf var-inf)) t (var inf var-inf) (var inf var-inf) intv math-intv-constp math-beforep 2 1 (2 3) (0 1) (0 1) (2 3) 3 (0 2) (1 3) (bigpos bigneg frac float cplx polar hms date sdev intv mod) var symbol-name (bigpos bigneg frac float cplx polar)] 5]) (defalias 'math-simplify-extended #[(a) "\302\303 !)\207" [math-living-dangerously a t math-simplify] 2]) (byte-code "\300\301\302\303#\210\304\305\301\"\207" [put math-simplify-extended byte-optimizer byte-compile-inline-expand defalias calcFunc-esimplify] 4) #@64 Rewrite trigonometric functions in terms of sines and cosines. (defalias 'math-trig-rewrite #[(fn) ":\204 \207\242\302=\203 \303\304\305\306A!BE\207\242\307=\203) \303\304\310\306A!BE\207\242\311=\203? \306A!\303\310 B\305 BE)\207\242\312=\203U \306A!\303\305 B\310 BE)\207\313\306\"\207" [fn newfn calcFunc-sec / 1 calcFunc-cos math-trig-rewrite calcFunc-csc calcFunc-sin calcFunc-tan calcFunc-cot mapcar] 5 (#$ . 8005)]) #@59 Rewrite hyperbolic functions in terms of sinhs and coshs. (defalias 'math-hyperbolic-trig-rewrite #[(fn) ":\204 \207\242\302=\203 \303\304\305\306A!BE\207\242\307=\203) \303\304\310\306A!BE\207\242\311=\203? \306A!\303\310 B\305 BE)\207\242\312=\203U \306A!\303\305 B\310 BE)\207\313\306\"\207" [fn newfn calcFunc-sech / 1 calcFunc-cosh math-hyperbolic-trig-rewrite calcFunc-csch calcFunc-sinh calcFunc-tanh calcFunc-coth mapcar] 5 (#$ . 8449)]) (defalias 'math-simplify #[(top-expr) "\306:\307\310\311!\205 \312 \205 \310\313!\205 \314\n\205! \310\315!\205! \316 \205, \310\317!\205, \320$\321 \203f \322\323!!\324\323\f!\203b \325@\326#A\211\204O )\202\246 \327>?\205n \323! ?\205\233 \203\222 \325\f@\"A\211\204\202 \322\f!\211\232?)\203\245 \f\202o ),\207" [calc-simplify-mode math-living-dangerously math-simplifying-units math-integrating res simp-rules t append calc-has-rules var-AlgSimpRules ((var AlgSimpRules var-AlgSimpRules)) var-ExtSimpRules ((var ExtSimpRules var-ExtSimpRules)) var-UnitSimpRules ((var UnitSimpRules var-UnitSimpRules)) var-IntegSimpRules ((var IntegSimpRules var-IntegSimpRules)) nil math-simplify-step math-normalize (nil) math-rewrite (neg (var inf var-inf)) (none num) math-top-only math-simplifying r top-expr math-normalize-error] 9]) (defalias 'calcFunc-simplify 'math-simplify) (defalias 'math-simplify-step #[(a) "\211:?\206\f @\304>)\203 \207 \204 @\305>\203! \202) @\306\307A\"B\211@9\203T \n@\310N\211\203S \203S @\n!\206E \n\211\232\203S A\211\204= )\n)\207" [a math-top-only aa handler (bigpos bigneg frac float cplx polar hms date mod var) (calcFunc-quote calcFunc-condition calcFunc-evalto) mapcar math-simplify-step math-simplify] 5]) (defalias 'math-defsimplify '(macro . #[(funcs &rest code) "\301\302\3039\203 C\202 \"B\207" [funcs progn mapcar #[(func) "\302\303D\304\305\306\303D\307BB\310\311\312\313 BBDDEF\207" [func code put quote 'math-simplify nconc get ('math-simplify) list function lambda (math-simplify-expr)] 10]] 4])) (byte-code "\300\301\302\303#\210\300\304\305\304\305N\306C\244#\210\300\307\305\307\305N\310C\244#\207" [put math-defsimplify lisp-indent-hook 1 + math-simplify #[#1=(math-simplify-expr) "\300 \207" [math-simplify-plus] 1] - #[#1# "\300 \207" [math-simplify-plus] 1]] 5) (defalias 'math-simplify-plus #[nil "A@\242\306>\203Y \307A@8\211:?\206 @\310>)\203Y \3078\211:?\206+ @\310>)\204Y \3078@AA\307A@8\240\210\211A@@\240\210A@AA \240\210A@\n\240\210*\202\226 @\311=\203\226 A@\211:?\206n @\310>)\203\226 \3078\211:?\206\200 @\310>)\204\226 \3078AAA@\240\210A \240\210)\312\211 \211 A@\211\242\313>\203\330 \314\307 8\3078 @\315=@\315=\316%\211\203\316 AA\f\240\210\311\240\210 AA\317\240\210A@\211\202\236 \314 \3078\312@\315=\316%\211\203\371 AA\f\240\210\311\240\210A\317\240\210+\207" [math-simplify-expr a op x temp aaa (+ -) 2 (bigpos bigneg frac float cplx polar) + nil (+ -) math-combine-sum - t 0 aa] 7]) (byte-code "\300\301\302\301\302N\303C\244#\207" [put * math-simplify #[(math-simplify-expr) "\300 \207" [math-simplify-times] 1]] 5) (defalias 'math-simplify-times #[nil "\3068\242\307=\203B \310\3068A@A@\"\203q \311A@\312\"\204* \311\3068A@\312\"\203q A@A\3068A@\240\210\3068A \240\210)\202q \310\3068A@\"\203q \311A@\312\"\204_ \311\3068\312\"\203q \3068AAA@\240\210A \240\210)\313\211\312\311A@! A@\211 :?\206\220 @\314>)\203\263 \315\3068!\211\203\263 AA\316\3068\f\"\240\210A\317A@\f\"\240\210\3068\211\242\307=\203\361 \203\361 \320A@ A@\313\211\312%\211\203\335 A\f\240\210 A\321\240\210\n\206\347 \311 A@\312\"\3068\202\263 \320 A@\313\211\312%\211\203 \203A\f\240\210AA\321\240\210A@\242\322=\2036A@A@\323>\2036\324\317\3068A@A@\"\306A@8\"\2027-\207" [math-simplify-expr x scalar safe temp aaa 2 * math-beforep math-known-scalarp t nil (bigpos bigneg frac) math-common-constant-factor math-cancel-common-factor math-mul math-combine-prod 1 frac (1 -1) math-div aa a] 7]) (byte-code "\300\301\302\301\302N\303C\244#\207" [put / math-simplify #[(math-simplify-expr) "\300 \207" [math-simplify-divide] 1]] 5) (defalias 'math-simplify-divide #[nil "A\306@\307=\204 \3108\211:?\206 @\311>)?\205\" \312\3108!\306\211 \f\203\346 @\307=\204H A@\211:?\206C @\311>)?\205M \312A@!\f\242\313=\203\254 \fA@\314=\203\254 \204\254 \242\315=\203| A@\242\316=\203| \317\3108A@\"\203\346 A\320\310\f8A@\"\240\210AA\321\3108\f\"\240\210\322\f!\203\346 @\236\211\203\346 \nA@\240\210\202\346 \203\346 \323 \f\"\211\314=\204\346 A\321A@ \"\240\210AA\321\3108 \"\240\210\322 !\203\346 @\236\211\203\346 \nA@\240\210@\242\307=\2037\324\3108\325\"\2037A@A\211@\211\242\326=\203$\324\310 8\325\"\203\327 AAA\306\325$\210 AA\211\202\377 \327AA\306\325$\210\325A@AA@\211\242\326=\203^\324\310 8\325\"\203U\327 AAA \325$\210 AA\211\2029\327AA \325$\210-\207" [math-simplify-expr a op n nn nover nil / 2 (bigpos bigneg frac float) math-common-constant-factor frac 1 calcFunc-eq var math-expr-contains math-mul math-cancel-common-factor math-negp math-frac-gcd math-known-scalarp t * math-simplify-divisor np calc-tweak-eqn-table] 6]) (defalias 'math-simplify-divisor #[(np dp math-simplify-divisor-nover math-simplify-divisor-dover) "@\242\306=\203& \307 @A\n $\210\310@A@\311\"\205\226 \307 @AA\n ?$\207\f@\306=\204R \312 @!\211 \313>\206G \f@\314>\203E \315=\206G )\204R \316 @!\205\226 \317\311\310 @! @\211\242\320=\203\214 \203\214 \321 A\"\210\206\201 \310A@\311\"AA\211\202_ \205\225 \321 \"+\207" [dp np math-simplify-divisor-nover math-simplify-divisor-dover math-simplify-expr signs / math-simplify-divisor math-known-scalarp t math-possible-signs (1 4) (calcFunc-eq calcFunc-neq) 5 math-numberp nil * math-simplify-one-divisor math-living-dangerously scalar safe d] 6]) (defalias 'math-simplify-one-divisor #[(np dp) "\306@ @\n \307%\310 \211 \203F @\311>\2041 \312 @!\2031 @\236\211\2031 \fA@\240\210\n\203= \313\314 \"\202> \240\210 \314\240\202\207 \205\207 \n?\205\207 @\315=\205\207 @\242\316=\205\207 @A@\211 :?\206p @\317>)\205\207 \320@\316 @A@D\"\240\210 \211@A@\240*\207" [np dp math-simplify-divisor-nover math-simplify-divisor-dover op temp math-combine-prod t nil (/ calcFunc-eq calcFunc-neq) math-known-negp math-div 1 / calcFunc-sqrt (bigpos bigneg) math-mul math-simplify-expr calc-tweak-eqn-table a] 7]) (defalias 'math-common-constant-factor #[(expr) "\211:?\206\f @\304>)\2039 \211:?\206 @\305>)\203+ \306>?\2058 \307!\207\310\311!\211!\2058 \312!\207@\313>\203c \312A@!\312\3148!\211\205a \n\205a \315 \n\"\211\316=?\205a *\207@\317>\203p \312A@!\207@\320=\205\231 \312A@!\206\231 \3148\211:?\206\215 @\321>)\205\231 \322\316\307\3148!E\207" [expr a f2 f1 (bigpos bigneg frac float) (bigpos bigneg frac) (0 1 -1) math-abs math-ratp math-to-simple-fraction math-common-constant-factor (+ - cplx sdev) 2 math-frac-gcd 1 (* polar) / (bigpos bigneg) frac] 6]) (defalias 'math-cancel-common-factor #[(expr val) "\242\302>\203 A\303A@ \"\240\210AA\303\3048 \"\240\210\207\242\305=\2031 \306\303A@ \"\3048\"\207\307 \"\207" [expr val (+ - cplx sdev) math-cancel-common-factor 2 * math-mul math-div] 4]) (defalias 'math-frac-gcd #[(a b) "\211:\203$ @\302>?\205' @\303=\203 A@\304=\202' \305!\202' \304=)\203- \207 \211:\203Q @\302>?\205T @\303=\203K A@\304=\202T \305!\202T \304=)\203Z \207\211:?\206f @\306>)\203 \211:?\206v @\306>)\203 \307 \"\207\211:?\206\213 @\306>)\203\224 \310\311E \211:?\206\240 @\306>)\203\251 \310 \311E\312\307A@ A@\"\307\3138\313 8\"\"\207" [a b (bigpos bigneg) float 0 math-zerop (bigpos bigneg) math-gcd frac 1 math-make-frac 2] 7]) (byte-code "\300\301\302\301\302N\303C\244#\207" [put % math-simplify #[(math-simplify-expr) "\300 \207" [math-simplify-mod] 1]] 5) (defalias 'math-simplify-mod #[nil "\3068\211:?\206 @\307>)\205\3068\211:\203N @\310=\206Q @\311=?\205Q @\312>\203H A@\211:\203A @\310=\202D \313V)\202Q \314 !\202Q \313V)\205\315A@!\316\211\211 \211 \203\230 \317 @!\204 @\3068 \320 \"\321U*\204\230 \322\323\324 A@\306 8\"\325 @\3068\"E\3068E\206 \203\355 \326 A@\327\"\204\355 \330 A@!\203\355 \330\3068!\203\355 \331 A@\3068\"\211\203\355 \326\f\327\"\204\355 \332\f\322\323\324\333 A@\f\"\306 8\"\334 \333 @\f\")E\333\3068\f\"EE\206\326\3068\327\"\205\335 \203\324 A@\306 8\"\202 A@!\205 \203\325 @\327\"\202\313,\207" [math-simplify-expr a t3 t2 t1 lin 2 (bigpos bigneg frac float) bigpos bigneg (frac float) 0 math-posp math-is-linear nil math-negp math-compare -1 % + math-mul math-mod math-equal-int 1 math-num-integerp calcFunc-gcd * math-div t math-known-integerp b calc-prefer-frac] 9]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\210\300\306\302\306\302N\307C\244#\210\300\310\302\310\302N\311C\244#\210\300\312\302\312\302N\313C\244#\210\300\314\302\314\302N\315C\244#\207" [put calcFunc-eq math-simplify #[#1=(math-simplify-expr) "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2] calcFunc-neq #[#1# "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2] calcFunc-lt #[#1# "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2] calcFunc-gt #[#1# "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2] calcFunc-leq #[#1# "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2] calcFunc-geq #[#1# "G\301U\205 \302 \207" [math-simplify-expr 3 math-simplify-ineq] 2]] 5) (defalias 'math-simplify-ineq #[nil "A\304\211@\211\242\305>\203$ \306 AAAA @\307=\304$\210 A\211\202 \306\nAA\304\nA=$\210\310 \210\311\307AB!@\312=\203U \313=\203K \314\202\335 \315>\203\334 \316\202\335 @\317=\203p \313=\203f \316\202\335 \320>\203\334 \314\202\335 @\321=\203\213 \314=\203\201 \314\202\335 \322>\203\334 \316\202\335 @\323=\203\246 \324=\203\234 \314\202\335 \325>\203\334 \316\202\335 @\326=\203\301 \324=\203\267 \316\202\335 \327>\203\334 \314\202\335 @\330=\203\334 \314=\203\322 \316\202\335 \331>\203\334 \314\202\335 +\207" [math-simplify-expr n np signs nil (+ -) math-simplify-add-term - math-simplify-divide math-possible-signs calcFunc-eq 2 1 (1 4 5) 0 calcFunc-neq (1 4 5) calcFunc-lt (2 4 6) calcFunc-gt 4 (1 2 3) calcFunc-leq (1 2 3) calcFunc-geq (2 4 6)] 7]) (defalias 'math-simplify-add-term #[(np dp minus lplain) "\306@!\206\277 \307\310\211\211\211 @@\211\242\311>\203{ \310\312\f\313 8 @\314=\307%\211\203t \204A \315 !=\203[ \203M \316 !\202N \211\240\210 AA\317\240\210\202t \317\240\210 AA @\314=\203o \316 !\202p \211\240\210 A\202 \312\f \307\211%\211\205\276 \204\232 \204\262 \315 !=\203\262 \203\246 \316 !\202\247 \211\240\210\317\240\202\276 \317\240\210\316 !\211\240-\207" [np temp dd d n rplain math-vectorp t nil (+ -) math-combine-sum 2 + math-looks-negp math-neg 0 dp minus lplain] 6]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\210\300\306\302\306\302N\307C\244#\210\300\310\302\310\302N\311C\244#\207" [put calcFunc-sin math-simplify #[#1=(math-simplify-expr) "A@\242\305=\203 A@A@\206\312 \306A@!\203% \307\310\307A@!D!\206\312 \311=\203C \312A@\313\"\211\205? \314\n@\nA@\315\316$)\206\312 \317=\203` \320A@!\211\205\\ \314\n@\nA@\321\316$)\206\312 A@\242\322=\203x \323\324\325\326A@A@!\"D\206\312 A@\242\327=\203\227 \330A@A@\323\331\325\326A@A@!\"D\"\206\312 \332A@!\211\205\311 @\250\205\311 @ A@ \333\334\310\334\nS\fED\335\fDE\334\335\334\nS\fED\310\fDEE*)\207" [math-simplify-expr calc-angle-mode n m a calcFunc-arcsin math-looks-negp math-neg calcFunc-sin rad math-linear-in (var pi var-pi) math-known-sin 120 0 deg math-integer-plus (frac 2 3) calcFunc-arccos calcFunc-sqrt math-sub 1 math-sqr calcFunc-arctan math-div math-add math-should-expand-trig + * calcFunc-cos] 8] calcFunc-cos #[#1# "A@\242\305=\203 A@A@\206\304 \306A@!\203# \307\310A@!D\206\304 \311=\203A \312A@\313\"\211\205= \314\n@\nA@\315\316$)\206\304 \317=\203^ \320A@!\211\205Z \314\n@\nA@\321\316$)\206\304 A@\242\322=\203v \323\324\325\326A@A@!\"D\206\304 A@\242\327=\203\221 \330\325\323\331\325\326A@A@!\"D\"\206\304 \332A@!\211\205\303 @\250\205\303 @ A@ \333\334\307\334\nS\fED\307\fDE\334\335\334\nS\fED\335\fDEE*)\207" [math-simplify-expr calc-angle-mode n m a calcFunc-arccos math-looks-negp calcFunc-cos math-neg rad math-linear-in (var pi var-pi) math-known-sin 120 300 deg math-integer-plus (frac 2 3) calcFunc-arcsin calcFunc-sqrt math-sub 1 math-sqr calcFunc-arctan math-div math-add math-should-expand-trig - * calcFunc-sin] 8] calcFunc-sec #[#1# "\303A@!\203 \304\305A@!D\206\227 \306=\2033 \307A@\310\"\211\205/ \311\312\313\n@\nA@\314\315$\")\206\227 \316=\203S \317A@!\211\205O \311\312\313\n@\nA@\320\315$\")\206\227 A@\242\321=\203n \311\312\322\323\312\324A@A@!\"D\"\206\227 A@\242\325=\203\202 \311\312A@A@\"\206\227 A@\242\326=\205\227 \322\327\312\324A@A@!\"D\207" [math-simplify-expr calc-angle-mode n math-looks-negp calcFunc-sec math-neg rad math-linear-in (var pi var-pi) math-div 1 math-known-sin 120 300 deg math-integer-plus (frac 2 3) calcFunc-arcsin calcFunc-sqrt math-sub math-sqr calcFunc-arccos calcFunc-arctan math-add] 8] calcFunc-csc #[#1# "\303A@!\203 \304\305\304A@!D!\206\240 \306=\2035 \307A@\310\"\211\2051 \311\312\313\n@\nA@\314\315$\")\206\240 \316=\203U \317A@!\211\205Q \311\312\313\n@\nA@\320\315$\")\206\240 A@\242\321=\203i \311\312A@A@\"\206\240 A@\242\322=\203\204 \311\312\323\324\312\325A@A@!\"D\"\206\240 A@\242\326=\205\240 \311\323\327\312\325A@A@!\"DA@A@\"\207" [math-simplify-expr calc-angle-mode n math-looks-negp math-neg calcFunc-csc rad math-linear-in (var pi var-pi) math-div 1 math-known-sin 120 0 deg math-integer-plus (frac 2 3) calcFunc-arcsin calcFunc-arccos calcFunc-sqrt math-sub math-sqr calcFunc-arctan math-add] 8]] 5) (defalias 'math-should-expand-trig #[(x &optional hyperbolic) "\305!\n\205E \205E @\250\203 @\306V\204 @\307\232\205E \204D A@\242\f\2030 \310\2021 \311>\204D A@\242\312=\205E \f\313=\205E )\207" [x m math-living-dangerously math-integrating hyperbolic math-is-multiple 1 (frac 1 2) (calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh) (calcFunc-arcsin calcFunc-arccos calcFunc-arctan) calcFunc-ln exp] 2]) (defalias 'math-known-sin #[(plus n mul off) "\305 \"\306!\205h \307\310\311!\n\"\312\"\211\205h \313Y\2030 \314 \313Z\315\316$\211\205h \317!\207\320V\203: \313Z\321 !\203O \f\204J \322>\205h \323\236A\207\316=\203[ \324\325 D!\207\320=\203g \324\326 D!\207\327\207" [n mul off plus calc-symbolic-mode math-mul math-num-integerp math-mod math-add math-trunc 240 120 math-known-sin 1 0 math-neg 60 math-zerop (0 20 60) ((0 . 0) (10 / (calcFunc-sqrt (- 2 (calcFunc-sqrt 3))) 2) (12 / (- (calcFunc-sqrt 5) 1) 4) (15 / (calcFunc-sqrt (- 2 (calcFunc-sqrt 2))) 2) (20 / 1 2) (24 * (^ (/ 1 2) (/ 3 2)) (calcFunc-sqrt (- 5 (calcFunc-sqrt 5)))) (30 / (calcFunc-sqrt 2) 2) (36 / (+ (calcFunc-sqrt 5) 1) 4) (40 / (calcFunc-sqrt 3) 2) (45 / (calcFunc-sqrt (+ 2 (calcFunc-sqrt 2))) 2) (48 * (^ (/ 1 2) (/ 3 2)) (calcFunc-sqrt (+ 5 (calcFunc-sqrt 5)))) (50 / (calcFunc-sqrt (+ 2 (calcFunc-sqrt 3))) 2) (60 . 1)) math-normalize calcFunc-sin calcFunc-cos nil] 5]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\207" [put calcFunc-tan math-simplify #[#1=(math-simplify-expr) "A@\242\304=\203 A@A@\206\314 \305A@!\203% \306\307\306A@!D!\206\314 \310=\203B \311A@\312\"\211\205> \313\n@\nA@\314#)\206\314 \315=\203^ \316A@!\211\205Z \313\n@\nA@\317#)\206\314 A@\242\320=\203} \321A@A@\322\323\324\325A@A@!\"D\"\206\314 A@\242\326=\203\234 \321\322\323\324\325A@A@!\"DA@A@\"\206\314 \327A@!\211\205\313 @\330\232\203\277 \321\323\324\331 A@D\"\332 A@D\"\202\313 \321\332A@D\331A@D\")\207" [math-simplify-expr calc-angle-mode n m calcFunc-arctan math-looks-negp math-neg calcFunc-tan rad math-linear-in (var pi var-pi) math-known-tan 120 deg math-integer-plus (frac 2 3) calcFunc-arcsin math-div calcFunc-sqrt math-sub 1 math-sqr calcFunc-arccos math-should-expand-trig (frac 1 2) calcFunc-cos calcFunc-sin] 8] calcFunc-cot #[#1# "\303A@!\203 \304\305\304A@!D!\206\242 \306=\2034 \307A@\310\"\211\2050 \311\312\313\n@\nA@\314#\")\206\242 \315=\203S \316A@!\211\205O \311\312\313\n@\nA@\317#\")\206\242 A@\242\320=\203r \311\321\322\312\323A@A@!\"DA@A@\"\206\242 A@\242\324=\203\221 \311A@A@\321\322\312\323A@A@!\"D\"\206\242 A@\242\325=\205\242 \311\312A@A@\"\207" [math-simplify-expr calc-angle-mode n math-looks-negp math-neg calcFunc-cot rad math-linear-in (var pi var-pi) math-div 1 math-known-tan 120 deg math-integer-plus (frac 2 3) calcFunc-arcsin calcFunc-sqrt math-sub math-sqr calcFunc-arccos calcFunc-arctan] 8]] 5) (defalias 'math-known-tan #[(plus n mul) "\304 \"\305!\205] \306\307!\310\"\211\205] \311V\203, \312\n\310Z\313#\211\205] \314!\207\315\n!\203A \204< \316>\205] \317\236A\207\320=\203M \321\322\nD!\207\311=\203\\ \321\323\324\322\nDE!\207\325\207" [n mul plus calc-symbolic-mode math-mul math-num-integerp math-mod math-trunc 120 60 math-known-tan 1 math-neg math-zerop (0 30 60) ((0 . 0) (10 - 2 (calcFunc-sqrt 3)) (12 calcFunc-sqrt (- 1 (* (/ 2 5) (calcFunc-sqrt 5)))) (15 - (calcFunc-sqrt 2) 1) (20 / (calcFunc-sqrt 3) 3) (24 calcFunc-sqrt (- 5 (* 2 (calcFunc-sqrt 5)))) (30 . 1) (36 calcFunc-sqrt (+ 1 (* (/ 2 5) (calcFunc-sqrt 5)))) (40 calcFunc-sqrt 3) (45 + (calcFunc-sqrt 2) 1) (48 calcFunc-sqrt (+ 5 (* 2 (calcFunc-sqrt 5)))) (50 + 2 (calcFunc-sqrt 3)) (60 var uinf var-uinf)) 0 math-normalize calcFunc-tan / -1 nil] 5]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\210\300\306\302\306\302N\307C\244#\210\300\310\302\310\302N\311C\244#\210\300\312\302\312\302N\313C\244#\210\300\314\302\314\302N\315C\244#\210\300\316\302\316\302N\317C\244#\210\300\320\302\320\302N\321C\244#\210\300\322\302\322\302N\323C\244#\210\300\324\302\324\302N\325C\244#\210\300\326\302\326\302N\327C\244#\210\300\330\302\330\302N\331C\244#\210\300\332\302\332\302N\333C\244#\207" [put calcFunc-sinh math-simplify #[#1=(math-simplify-expr) "A@\242\305=\203 A@A@\206\236 \306A@!\203% \307\310\307A@!D!\206\236 A@\242\311=\203A \203A \312\313\314A@A@!\315\"D\206\236 A@\242\316=\203d \203d \317A@A@\312\313\315\314A@A@!\"D\"\206\236 \320A@\321\"\211\205\235 \n@\250\205\235 \n@\nA@\211 \315V\205\234 \322\323\310\323\fS ED\324 DE\323\324\323\fS ED\310 DEE*)\207" [math-simplify-expr math-living-dangerously m a n calcFunc-arcsinh math-looks-negp math-neg calcFunc-sinh calcFunc-arccosh calcFunc-sqrt math-sub math-sqr 1 calcFunc-arctanh math-div math-should-expand-trig t + * calcFunc-cosh] 8] calcFunc-cosh #[#1# "A@\242\305=\203 A@A@\206\230 \306A@!\203# \307\310A@!D\206\230 A@\242\311=\203? \203? \312\313\314A@A@!\315\"D\206\230 A@\242\316=\203^ \203^ \317\315\312\320\315\314A@A@!\"D\"\206\230 \321A@\322\"\211\205\227 \n@\250\205\227 \n@\nA@\211 \315V\205\226 \323\324\307\324\fS ED\307 DE\324\325\324\fS ED\325 DEE*)\207" [math-simplify-expr math-living-dangerously m a n calcFunc-arccosh math-looks-negp calcFunc-cosh math-neg calcFunc-arcsinh calcFunc-sqrt math-add math-sqr 1 calcFunc-arctanh math-div math-sub math-should-expand-trig t + * calcFunc-sinh] 8] calcFunc-tanh #[#1# "A@\242\303=\203 A@A@\206\234 \304A@!\203% \305\306\305A@!D!\206\234 A@\242\307=\203H \203H \310A@A@\311\312\313A@A@!\314\"D\"\206\234 A@\242\315=\203k \203k \310\311\316\313A@A@!\314\"DA@A@\"\206\234 \317A@\320\"\211\205\233 \n@\321\232\203\217 \310\316\322\nA@D\314\"\323\nA@D\"\202\233 \310\323A@D\322A@D\")\207" [math-simplify-expr math-living-dangerously m calcFunc-arctanh math-looks-negp math-neg calcFunc-tanh calcFunc-arcsinh math-div calcFunc-sqrt math-add math-sqr 1 calcFunc-arccosh math-sub math-should-expand-trig t (frac 1 2) calcFunc-cosh calcFunc-sinh] 7] calcFunc-sech #[#1# "\302A@!\203 \303\304A@!D\206d A@\242\305=\2031 \2031 \306\307\310\311\312A@A@!\307\"D\"\206d A@\242\313=\203K \203K \306\307A@A@\"\203K \307\207A@\242\314=\205d \205d \310\315\307\312A@A@!\"D\207" [math-simplify-expr math-living-dangerously math-looks-negp calcFunc-sech math-neg calcFunc-arcsinh math-div 1 calcFunc-sqrt math-add math-sqr calcFunc-arccosh calcFunc-arctanh math-sub] 6] calcFunc-csch #[#1# "\302A@!\203 \303\304\303A@!D!\206k A@\242\305=\203, \203, \306\307A@A@\"\206k A@\242\310=\203K \203K \306\307\311\312\313A@A@!\307\"D\"\206k A@\242\314=\205k \205k \306\311\312\307\313A@A@!\"DA@A@\"\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-csch calcFunc-arcsinh math-div 1 calcFunc-arccosh calcFunc-sqrt math-sub math-sqr calcFunc-arctanh] 6] calcFunc-coth #[#1# "\302A@!\203 \303\304\303A@!D!\206o A@\242\305=\2037 \2037 \306\307\310\311A@A@!\312\"DA@A@\"\206o A@\242\313=\203Z \203Z \306A@A@\307\314\311A@A@!\312\"D\"\206o A@\242\315=\205o \205o \306\312A@A@\"\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-coth calcFunc-arcsinh math-div calcFunc-sqrt math-add math-sqr 1 calcFunc-arccosh math-sub calcFunc-arctanh] 6] calcFunc-arcsin #[#1# "\302A@!\203 \303\304\303A@!D!\206_ A@\305=\203\" \306\307!\206_ A@\310\232\2033 \311\312\307!\313\"\206_ \203H A@\242\314=\203H A@A@\206_ \205_ A@\242\315=\205_ \316\306\307!A@A@\"\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-arcsin 1 math-quarter-circle t (frac 1 2) math-div math-half-circle 6 calcFunc-sin calcFunc-cos math-sub] 4] calcFunc-arccos #[#1# "A@\302=\203 \303\304!\206m A@\305=\203 \306\304!\206m A@\307\232\203- \310\306\304!\311\"\206m A@\312\232\203A \310\313\306\304!\314\"\311\"\206m \203V A@\242\315=\203V A@A@\206m \205m A@\242\316=\205m \317\303\304!A@A@\"\207" [math-simplify-expr math-living-dangerously 0 math-quarter-circle t -1 math-half-circle (frac 1 2) math-div 3 (frac -1 2) math-mul 2 calcFunc-cos calcFunc-sin math-sub] 4] calcFunc-arctan #[#1# "\302A@!\203 \303\304\303A@!D!\2067 A@\305=\203% \306\307\310!\311\"\2067 \2057 A@\242\312=\2057 A@A@\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-arctan 1 math-div math-half-circle t 4 calcFunc-tan] 4] calcFunc-arcsinh #[#1# "\302A@!\203 \303\304\303A@!D!\2060 A@\242\305=\2050 \204+ \306A@A@!\2050 A@A@\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-arcsinh calcFunc-sinh math-known-realp] 4] calcFunc-arccosh #[#1# "A@\242\302=\205 \204 \303A@A@!\205 A@A@\207" [math-simplify-expr math-living-dangerously calcFunc-cosh math-known-realp] 2] calcFunc-arctanh #[#1# "\302A@!\203 \303\304\303A@!D!\2060 A@\242\305=\2050 \204+ \306A@A@!\2050 A@A@\207" [math-simplify-expr math-living-dangerously math-looks-negp math-neg calcFunc-arctanh calcFunc-tanh math-known-realp] 4] calcFunc-sqrt #[#1# "\300 \207" [math-simplify-sqrt] 1]] 5) (defalias 'math-simplify-sqrt #[nil "A@\242\306=\203! \307\310\311A@A@\312A@8\"D\312A@8\"\206\220\313A@!\2031 \314A@!\2026 \315A@!\211\205S \316=?\205S \311\317\310 D!\317\310\320A@ \"D!\")\206\220\n\205\220A@\242\321=\203\275 \322A@A@\316\"\203\275 \312A@8\242\323=\203\275 \322\312\211A@88\312\"\203\275 \312A@8A@\242\324=\203\242 \325\312A@8A@A@D\206\220\312A@8A@\242\325=\203\275 \324\312A@8A@A@D\206\220A@\242\321=\203\322\312A@8\316\"\203A@A@\242\323=\203\322\312A@A@8\312\"\203A@A@A@\242\326=\203\327A@A@A@A@D\206\220A@\242\330=\203\226A@A@\312A@8 \322\f\316\"\203, A@A@\211\2043\322 \316\"\205\222\f\242\323=\205\222\322\312\f8\312\"\205\222\fA@\242\327=\203V\326\fA@A@D\206\222\fA@\242\331=\203i\332\fA@A@D\206\222\fA@\242\333=\203\334\316\325\fA@A@DE\206\222\fA@\242\335=\205\222\334\316\324\fA@A@DE*\206\220A@\242\323=\203\261\323A@A@\307\312A@8\312\"E\206\220A@\242\310=\203\310\323A@A@\307\316\336\"E\206\220A@\242\337>\203\347A@@\310A@A@D\310\312A@8DE\206\220A@\242\340>\205\220\341A@!?\205\220\342\343A@!! \344 !\205\217 G\312V\204\312 A@8\316V\205\217\316\211\211\345\211 + , - . A\211\203s @A@\312 @8\211+\316V\203Q\311.\346 +\312\245\"\".+\312\246++\347V\203& \242\350>\203i\351, \",\202&\311- \"-\202&.\316=\205~-\352>?\205\216\311.\310\311,-\"D\"-)\207" [math-simplify-expr fac math-living-dangerously b a f frac math-div calcFunc-sqrt math-mul 2 math-objectp math-squared-factor math-common-constant-factor 1 math-normalize math-cancel-common-factor - math-equal-int ^ calcFunc-sin calcFunc-cos calcFunc-cosh calcFunc-sinh + calcFunc-csch calcFunc-coth calcFunc-tan / calcFunc-cot 4 (* /) (+ -) math-any-floats calcFunc-factors calcFunc-expand math-vectorp nil math-pow 0 (+ -) math-mul-thru (1 -1) pow sums rest out] 8]) (defalias 'math-squared-factor #[(x) "\211:?\206\f @\305>)\205< \306\307\310 \f\203: \311\f@\"\211A\312=\2033 \n@\313 \f@\"\202 \fA\211\204 +\207" [x a res fac prsqr (bigpos bigneg) (4 9 25 49 121 169 289 361 529 841) 1 nil math-idivmod 0 math-mul] 4]) (byte-code "\300\301\302\301\302N\303C\244#\207" [put calcFunc-exp math-simplify #[(math-simplify-expr) "\301A@!\207" [math-simplify-expr math-simplify-exp] 2]] 5) (defalias 'math-simplify-exp #[(x) "\242\306=\203 A@\206\300 \203{ \242\307=\203* \310A@\311\310\312A@!\313\"D\"\206\300 \242\314=\203C \310A@\311\315\312A@!\313\"D\"\206\300 \242\316=\203_ \317\311\310\313A@\"D\311\315\313A@\"D\"\206\300 \320\321\"\211\205w \n@\250\205w \322\323\nA@D\n@E)\206\300 \205\300 \324!\205\300 \325! \326\f\327\" \330\211 ! \205\277 \331 @ A@\332\333$\211 \205\277 \331 @ A@\332\334$\211!\205\277 \335!\336 \337EE,\207" [x math-living-dangerously m calc-symbolic-mode ip n calcFunc-ln calcFunc-arcsinh math-add calcFunc-sqrt math-sqr 1 calcFunc-arccosh math-sub calcFunc-arctanh math-div math-should-expand-trig exp ^ calcFunc-exp math-known-imagp calcFunc-im math-linear-in (var pi var-pi) nil math-known-sin 120 0 300 + * (var i var-i) s c] 7]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\207" [put calcFunc-ln math-simplify #[#1=(math-simplify-expr) "A@\242\305=\203 \204 \306A@A@!\203 A@A@\206\225 A@\242\307=\203H A@A@\310\232\203H \204@ \306\311A@8!\203H \311A@8\206\225 \n\203a \312A@!\203a \313\314\315A@!D\316\"\206\225 \n\205\225 \317A@!\205\225 \320A@!\321 !\211 \322>\203\206 \313\314 D\323\"\206\224 \f\324>\205\224 \325\314\315 !D\326\"*\207" [math-simplify-expr math-living-dangerously calc-symbolic-mode ip ips calcFunc-exp math-known-realp ^ (var e var-e) 2 math-known-negp math-add calcFunc-ln math-neg (* (var pi var-pi) (var i var-i)) math-known-imagp calcFunc-im math-possible-signs (4 6) (/ (* (var pi var-pi) (var i var-i)) 2) (1 3) math-sub (/ (* (var pi var-pi) (var i var-i)) 2)] 5] ^ #[#1# "\300 \207" [math-simplify-pow] 1]] 5) (defalias 'math-simplify-pow #[nil "\203_ A@\242\306=\203! \306 A@A@\307\310 8\310 A@8\"E\206! A@\242\311=\203: \306 A@A@\312\310 8\310\"E\206! A@\242\313>\203_ A@@\306 A@A@\310 8E\306\310 A@8\310 8EE\206!\314 A@\315\"\203y \310 8\242\316=\203y \310 8A@\206! A@\317\232\203\211 \320\310 8!\206! A@\242\321=\203\245 \n\204\245 \321\307 A@A@\310 8\"D\206! A@\322\232\203\362 \323 \203\362 \324\310 8!\203\362 \325\326\310 8!\327\"\211\330=\203\315 \331\202\356 \331=\203\331 A@\202\356 \310=\203\343 \332\202\356 \333=\205\356 \334 A@!)\206!\n\203M\310 8\250\203M\310 8\310Y\203M A@\242\335=\203)\307\336 A@\310 8\310Z\"\337\331\340\341 A@A@D!\"\"\206! A@\242\342=\203M\307\336 A@\310 8\310Z\"\343\331\340\344 A@A@D!\"\"\206!\310 8\242\345=\203 A@\211 :?\206d\f@\346>)\203 A@\211 :\203\244\f@\347=\206\247\f@\350=?\205\247\f@\351>\203\236\fA@\211 :\203\227\f@\347=\202\232\f\330V)\202\247\352\f!\202\247\f\330V)\203\310 8\353\232\203\273\311 A@D\202\354\310 8!\211 \211 :\203\345\f@\355>?\205\350\f@\356=\203\337\fA@\330=\202\350\357\f!\202\350\f\330=)?\205 \360\306 A@ E\306 A@\337\310 8 \"EE)\206!\361\310 8!\310=\205!\362 \211 3\205 \3063\307\310 8\310\"E)\207" [math-living-dangerously math-simplify-expr math-integrating x a flr ^ math-mul 2 calcFunc-sqrt math-div (* /) math-equal-int 10 calcFunc-log10 (var e var-e) math-simplify-exp calcFunc-exp (var i var-i) math-imaginary-i math-num-integerp math-mod math-trunc 4 0 1 -1 3 math-neg calcFunc-cos math-pow math-sub math-sqr calcFunc-sin calcFunc-cosh math-add calcFunc-sinh frac (bigpos bigneg frac) bigpos bigneg (frac float) math-posp (frac 1 2) math-floor (bigpos bigneg) float math-zerop * math-quarter-integer math-simplify-sqrt temp] 8]) (byte-code "\300\301\302\301\302N\303C\244#\210\300\304\302\304\302N\305C\244#\210\300\306\302\306\302N\307C\244#\207" [put calcFunc-log10 math-simplify #[#1=(math-simplify-expr) "A@\242\302=\205' \303A@A@\304\"\205' \204\" \305\306A@8!\205' \306A@8\207" [math-simplify-expr math-living-dangerously ^ math-equal-int 10 math-known-realp 2] 3] calcFunc-erf #[#1# "\301A@!\203 \302\303\302A@!D!\206& A@\242\304=\205& \304\303A@A@DD\207" [math-simplify-expr math-looks-negp math-neg calcFunc-erf calcFunc-conj] 4] calcFunc-erfc #[#1# "\301A@!\203 \302\303\304\305A@!D\"\206' A@\242\306=\205' \306\304A@A@DD\207" [math-simplify-expr math-looks-negp math-sub 2 calcFunc-erfc math-neg calcFunc-conj] 5]] 5) (defalias 'math-linear-in #[(expr term &optional always) "\305 \"\203 \306\307 \310#\211A\205 *\207\f\205 \311D\207" [expr term calc-prefer-frac p always math-expr-contains t math-is-polynomial 1 0] 5]) (defalias 'math-multiple-of #[(expr term) "\303 \"\211\205 \304\n@!\205 \nA@)\207" [expr term p math-linear-in math-zerop] 4]) (defalias 'math-integer-plus #[(expr) "\211:?\206\f @\302>)\203 \303D\207@\304>\203D A@\211:?\206) @\302>)\203D @\305=\203: \3068\202? \307\3068!A@D\207@\310>\203t \3068\211:?\206Y @\302>)\203t A@@\305=\203m \3068\202r \307\3068!D\207\311\207" [expr a (bigpos bigneg) 0 (+ -) + 2 math-neg (+ -) nil] 5]) (defalias 'math-is-linear #[(expr &optional always) "\305\211\n\242\306=\203E \nA@\211:?\206 @\307>)\203( \nA@\310\n8\202\207 \310\n8\211:?\2066 @\307>)\203\207 \310\n8\nA@\202\207 \n\242\311=\203\207 \nA@\211:?\206Z @\307>)\203k \nA@\312\310\n8!\202\207 \310\n8\211:?\206y @\307>)\203\207 \312\310\n8!\nA@\313\n\f\" \203\242 @\206\227 \314A@\206\236 \nE\202\251 \205\251 \315B*\207" [coef offset expr a always nil + (bigpos bigneg frac float cplx polar hms date sdev intv mod) 2 - math-neg math-is-multiple 1 0] 4]) (defalias 'math-is-multiple #[(expr &optional always) "\242\304=\203# A@\211:?\206 @\305>)\203\270 A@\3068D\202\265 \242\307=\203\251 A@\211:?\2068 @\305>)\203R \310A@\311\"\204R A@\312\311\3068\"D\202\265 \3068\211:?\206` @\305>)\203q \312\311\3068\"A@D\202\265 \313A@!\211\203\213 \n@\312\306A@8\3068\"D\202\245 \313\3068!\211\205\245 \312\311\n@\"\312A@\306\21188\"D)\202\265 \242\314=\203\270 \315A@D\206\331 \211:?\206\304 @\316>)\203\322 \311=\205\331 \311D\207 \205\331 \311D\207" [expr a res always * (bigpos bigneg frac float cplx polar hms date sdev intv mod) 2 / math-equal-int 1 math-div math-is-multiple neg -1 (bigpos bigneg frac float cplx polar hms date sdev intv mod vec)] 7]) (defalias 'calcFunc-lin #[(expr &optional var) "\203 \303 \304#\211\204 \305 \306\"\210\307\n@\nA@F)\207\310 \304\"\211\204+ \305 \306\"\210\307\n)B\207" [var expr res math-linear-in t math-reject-arg "Linear term expected" vec math-is-linear] 5]) (defalias 'calcFunc-linnt #[(expr &optional var) "\203 \303 \"\211\204 \304 \305\"\210\306\n@\nA@F)\207\307 !\211\204) \304 \305\"\210\306\n)B\207" [var expr res math-linear-in math-reject-arg "Linear term expected" vec math-is-linear] 5]) (defalias 'calcFunc-islin #[(expr &optional var) "\211:?\206\f @\303>)\203 \n\204 \304\207\305\n\"\210\306\207" [expr a var (bigpos bigneg frac float cplx polar hms date sdev intv mod vec) 0 calcFunc-lin 1] 4]) (defalias 'calcFunc-islinnt #[(expr &optional var) "\211:?\206\f @\303>)\203 \304\207\305\n\"\210\306\207" [expr a var (bigpos bigneg frac float cplx polar hms date sdev intv mod vec) 0 calcFunc-linnt 1] 4]) (defalias 'math-expr-contains-count #[(expr thing) " \232\203 \304\207\211:?\206 \n@\305>)\203 \306\207\307A\211\2032 \310@ \"\206- \307\\\202 \307V\2059 )\207" [expr thing a num 1 (bigpos bigneg frac float cplx polar hms date mod var) nil 0 math-expr-contains-count] 5]) (defalias 'math-expr-contains #[(expr thing) " \232\203 \303\207\211:?\206 \n@\304>)\203 \305\207A\211\203) \306@ \"\203 \207" [expr thing a 1 (bigpos bigneg frac float cplx polar hms date mod var) nil math-expr-contains] 4]) (defalias 'math-expr-depends #[(expr thing) "\211:?\206\f @\303>)\203 \242\304=\205, \305\n\"\207A\211\203+ \306\n@\"\203 \207" [thing a expr (bigpos bigneg frac float cplx polar hms date mod var) var math-expr-contains math-expr-depends] 4]) (defalias 'math-expr-subst #[(expr math-expr-subst-old math-expr-subst-new) "\301!\207" [expr math-expr-subst-rec] 2]) (defalias 'calcFunc-subst 'math-expr-subst) (defalias 'math-expr-subst-rec #[(expr) " \232\203 \n\207\211:?\206 @\304>)\203 \207@\305>\203D G\306U\2038 A@ \232\2036 \307\nC\"\207\207@A@\310\3068!E\207@\311\310A\"B\207" [expr math-expr-subst-old math-expr-subst-new a (bigpos bigneg frac float cplx polar hms date mod var) (calcFunc-deriv calcFunc-tderiv) 2 append math-expr-subst-rec mapcar] 6]) (defalias 'math-expr-weight #[(expr) "\211:?\206\f @\303>)\203 \304\207\304A\211\203% \n\305@!\\\202 \n)\207" [expr a w (bigpos bigneg frac float cplx polar hms date mod var) 1 math-expr-weight] 4]) (defalias 'math-expr-height #[(expr) "\211:?\206\f @\303>)\203 \304\207\304A\211\203% \n\305@!]\202 \nT)\207" [expr a h (bigpos bigneg frac float cplx polar hms date mod var) 0 math-expr-height] 4]) (defalias 'calcFunc-collect #[(expr base) "\303 \304\305$\211A\203 \306\307\310\n\" \"\202 \n@)\207" [expr base p math-is-polynomial 50 t math-build-polynomial-expr mapcar math-normalize] 6]) (defalias 'math-is-polynomial #[(expr math-var &optional math-is-poly-degree math-is-poly-loose) "\203 \306=\203 \202 \307\202 \n\310 \f\" \203' G TX\205( *\207" [math-is-poly-loose math-var math-poly-base-variable expr math-poly-neg-powers poly gen (var XXX XXX) math-is-poly-rec math-is-poly-degree] 3]) (defalias 'math-is-poly-rec #[(expr negpow) "\306 \232\204 \242\307=\203O\310 \232\204 \3118A@ \310=\204\221 \312\n\310\"\211 @\242\313=\203m \f@A@\211 :\203Z @\314>?\205] @\315=\203T A@\316=\202] \317 !\202] \316=)\203m \311\f@8\320\fA@\321\"D \203y \fA@\232\202~ \fA@\211\205\217 \232\204\215 \310=\205\217 \f@)\n:\203\265 \322\n!\211\242\323=\203\265 ,\203\265 \232\203\265 \324,\311\n8\",,\325>\204\302 \320\n,\"\n\250\205K\n\310U\203\331 \232\203\331 \316\310D\202K\326\n!\203, \232\203\353 \316\310D\202\357 \327\330\"\n\310C - .\211 /\205(0\203/GS._0X\205(.\310Y\203&\331-/\"-.S\211.\202-+\202K1\205K\327\330\"\205K\332\n[\"2B\2112\205K\307\nEC*\202\216\211 :?\206[ @\333>)\203dC\202\216@\334>\203\235\327A@1\"\211 /\205\231\327\31181\"\211 3\205\230\335/\3103@\336=\203\226\310\202\227\337$))\202\216@\340=\203\261\341\342\327A@1\"\"\202\216@\343=\203\361\327A@1\"\211 /\205\355\327\31181\"\211 3\205\3540\203\346/G3G\\\311Z0X\205\354\331/3\"))\202\216@\344=\203Z\345\3118 \"\2031\203\221\327\3118\330\"\203\221\31182B\2112\203\221\3118\211 :\203A @\314>?\205D @\315=\203; A@\316=\202D\317 !\202D \316=)\204\221\327A@1\" /\341\346/\")\202\216@\347=\203t \350\232\203t\327\307 A@E1\"\202\216@\351=\203\215,\203\215\327\307A@\352E1\"\202\216\330\206\247\345 \"\203\2354\205\247@\353=?\205\247C!\207" [expr math-var pow math-poly-mult-powers m a math-poly-simplify ^ 1 2 math-is-multiple cplx (bigpos bigneg) float 0 math-zerop math-mul (var i var-i) math-to-simple-fraction frac calcFunc-lcm (1 nil) natnump math-is-poly-rec nil math-poly-mul math-pow (bigpos bigneg frac float cplx polar hms date sdev intv mod) (+ -) math-poly-mix + -1 neg mapcar math-neg * / math-poly-depends #[(x) "\302\303 8\"\207" [x expr math-div 2] 4] calcFunc-exp (var e var-e) calcFunc-sqrt (frac 1 2) vec math-poly-frac-powers accum n p1 math-is-poly-degree negpow math-poly-neg-powers p2 math-is-poly-loose] 8]) (defalias 'math-polynomial-p #[(expr var) " \232\203 \305\207\211:?\206 \n@\306>)\203 \307\207@\310>\203> \311A@ \"\312\211 \205< \311\3138 \"\211\205< \f ]*\207@\314=\203b \311A@ \"\312\211 \205` \311\3138 \"\211\205` \f \\*\207@\315=\203p \311A@ \"\207@\316=\203\207 \317\3138 \"\204\207 \311A@ \"\207@\320=\203\250 \321\3138!\203\250 \311A@ \"\211 \205\246 \f\3138_)\207\317 \"\203\261 \312\207\307\207" [expr var a p2 p1 1 (bigpos bigneg frac float cplx polar hms date mod var) 0 (+ -) math-polynomial-p nil 2 * neg / math-poly-depends ^ natnump] 4]) (defalias 'math-poly-depends #[(expr var) "\203 \303 \"\207\304 \n\"\207" [math-poly-base-variable expr var math-expr-contains math-expr-depends] 3]) (defalias 'math-polynomial-base #[(math-poly-base-top-expr &optional math-poly-base-pred) "\204 \303\304\305\n!)\206 \306\305\n!)\207" [math-poly-base-pred math-poly-base-const-ok math-poly-base-top-expr #[(base) "\302 \"\207" [math-poly-base-top-expr base math-polynomial-p] 3] nil math-polynomial-base-rec t] 2]) (defalias 'math-polynomial-base-rec #[(mpb-expr) "\211:?\206\f @\304>)?\205d @\305>\203( \306A@!\206d \306\3078!\206d @\310>\2037 \306A@!\206d @\311=\203F \306A@!\206d @\312=\203S \306\313!\206d \n\204] \314!\205d !\205d \207" [mpb-expr a math-poly-base-const-ok math-poly-base-pred (bigpos bigneg frac float cplx polar hms date sdev intv mod vec) (+ - *) math-polynomial-base-rec 2 (/ neg) ^ calcFunc-exp (var e var-e) math-expr-contains-vars] 4]) (defalias 'math-expr-contains-vars #[(expr) "\242\302=\206' \211:?\206 @\303>)?\205' A\211\203& \304@!\203 \207" [expr a var (bigpos bigneg frac float cplx polar hms date mod var) math-expr-contains-vars] 3]) (defalias 'math-poly-simplify #[(p) "\205{ GS8\211:\203, @\303>?\205/ @\304=\203& A@\305=\202/ \306 !\202/ \305=)\203z \307!\nA\203w \nGS\n8\211:\203d @\303>?\205g @\304=\203^ A@\305=\202g \306 !\202g \305=)\203w \nG\310Z\n\233\311\241\210\2027 \n)\207\207" [p a pp (bigpos bigneg) float 0 math-zerop copy-sequence 2 nil] 3]) (defalias 'math-poly-mix #[(a ac b bc) "\204 \205% \304\305@\206 \306\n\"\305 @\206 \306 \"\"\307A\n A $B\207" [a b ac bc math-add math-mul 0 math-poly-mix] 6]) (defalias 'math-poly-zerop #[(a) "?\2064 A?\2054 @\211:\2030 @\301>?\2053 @\302=\203* A@\303=\2023 \304!\2023 \303=)\207" [a (bigpos bigneg) float 0 math-zerop] 3]) (defalias 'math-poly-mul #[(a b) "\205 \205 \302 @\303A\304 B\"\305$\207" [a b math-poly-mix math-poly-mul 0 1] 7]) (defalias 'math-build-polynomial-expr #[(p var) "\203\213 \211:?\206 \n@\306>)\2036 \307 T\310!\211 @ \fA\211\2032 \311\f@\312 \"\"\202 +!\207\310!\211 GS \312\f@\313 \"\" \314 \fA\211\203\210 S\315\f@!\204L \316\f@!\203j \317\202k \320 \312\316\f@!\203{ \321\f@!\202} \f@\313 \"\"E\202L ,\207\322\207" [p var a calc-internal-prec rp accum (bigpos bigneg frac float cplx polar) math-normalize reverse math-add math-mul math-pow nil math-zerop math-looks-negp - + math-neg 0 n term] 8]) (defalias 'math-to-simple-fraction #[(f) "\242\301=\203@ \3028\303Y\203 \304A@\3028\"\206A A@\250\203@ A@\305V\203@ A@\306W\203@ \307A@\304\310\3028[\"\"\206A \207" [f float 2 0 math-scale-int -1000 1000 math-make-frac 1] 6]) (provide 'calc-alg)