;;; calc-ext.el --- various extension functions for Calc -*- lexical-binding:t -*- ;; Copyright (C) 1990-1993, 2001-2022 Free Software Foundation, Inc. ;; Author: David Gillespie ;; This file is part of GNU Emacs. ;; GNU Emacs is free software: you can redistribute it and/or modify ;; it under the terms of the GNU General Public License as published by ;; the Free Software Foundation, either version 3 of the License, or ;; (at your option) any later version. ;; GNU Emacs is distributed in the hope that it will be useful, ;; but WITHOUT ANY WARRANTY; without even the implied warranty of ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ;; GNU General Public License for more details. ;; You should have received a copy of the GNU General Public License ;; along with GNU Emacs. If not, see . ;;; Commentary: ;;; Code: (require 'calc) (require 'calc-macs) (require 'cl-lib) ;; Declare functions which are defined elsewhere. (declare-function math-clip "calc-bin" (a &optional w)) (declare-function math-round "calc-arith" (a &optional prec)) (declare-function math-simplify "calc-alg" (top-expr)) (declare-function math-simplify-extended "calc-alg" (a)) (declare-function math-simplify-units "calc-units" (a)) (declare-function calc-set-language "calc-lang" (lang &optional option no-refresh)) (declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg)) (declare-function calc-save-modes "calc-mode" ()) (declare-function calc-embedded-modes-change "calc-embed" (vars)) (declare-function calc-embedded-var-change "calc-embed" (var &optional buf)) (declare-function math-mul-float "calc-arith" (a b)) (declare-function math-arctan-raw "calc-math" (x)) (declare-function math-sqrt-raw "calc-math" (a &optional guess)) (declare-function math-sqrt-float "calc-math" (a &optional guess)) (declare-function math-exp-minus-1-raw "calc-math" (x)) (declare-function math-normalize-polar "calc-cplx" (a)) (declare-function math-normalize-hms "calc-forms" (a)) (declare-function math-normalize-mod "calc-forms" (a)) (declare-function math-make-sdev "calc-forms" (x sigma)) (declare-function math-make-intv "calc-forms" (mask lo hi)) (declare-function math-normalize-logical-op "calc-prog" (a)) (declare-function math-possible-signs "calc-arith" (a &optional origin)) (declare-function math-infinite-dir "calc-math" (a &optional inf)) (declare-function math-calcFunc-to-var "calc-map" (f)) (declare-function calc-embedded-evaluate-expr "calc-embed" (x)) (declare-function math-known-nonzerop "calc-arith" (a)) (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term)) (declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 &optional baseline prec short)) (declare-function math-read-big-balance "calc-lang" (h v what &optional commas)) (declare-function math-format-date "calc-forms" (math-fd-date)) (declare-function math-vector-is-string "calccomp" (a)) (declare-function math-vector-to-string "calccomp" (a &optional quoted)) (declare-function math-format-radix-float "calc-bin" (a prec)) (declare-function math-compose-expr "calccomp" (a prec &optional div)) (declare-function math-abs "calc-arith" (a)) (declare-function math-format-binary "calc-bin" (a)) (declare-function math-format-radix "calc-bin" (a)) (declare-function math-compute-max-digits "calc-bin" (w r)) (declare-function math-map-vec "calc-vec" (f a)) (declare-function math-make-frac "calc-frac" (num den)) (defvar math-simplifying nil) (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay. (defvar math-integrating nil) (defvar math-rewrite-selections nil) (defvar math-compose-level 0) (defvar math-comp-selected nil) (defvar math-comp-tagged nil) (defvar math-comp-sel-hpos nil) (defvar math-comp-sel-vpos nil) (defvar math-comp-sel-cpos nil) (defvar math-compose-hash-args nil) (defvar calc-alg-map) (defvar calc-alg-esc-map) ;; The following was made a function so that it could be byte-compiled. (defun calc-init-extensions () (define-key calc-mode-map ":" 'calc-fdiv) (define-key calc-mode-map "\\" 'calc-idiv) (define-key calc-mode-map "|" 'calc-concat) (define-key calc-mode-map "!" 'calc-factorial) (define-key calc-mode-map "C" 'calc-cos) (define-key calc-mode-map "E" 'calc-exp) (define-key calc-mode-map "H" 'calc-hyperbolic) (define-key calc-mode-map "I" 'calc-inverse) (define-key calc-mode-map "J" 'calc-conj) (define-key calc-mode-map "L" 'calc-ln) (define-key calc-mode-map "N" 'calc-eval-num) (define-key calc-mode-map "O" 'calc-option) (define-key calc-mode-map "P" 'calc-pi) (define-key calc-mode-map "Q" 'calc-sqrt) (define-key calc-mode-map "R" 'calc-round) (define-key calc-mode-map "S" 'calc-sin) (define-key calc-mode-map "T" 'calc-tan) (define-key calc-mode-map "U" 'calc-undo) (define-key calc-mode-map "X" 'calc-call-last-kbd-macro) (define-key calc-mode-map "o" 'calc-realign) (define-key calc-mode-map "p" 'calc-precision) (define-key calc-mode-map "w" 'calc-why) (define-key calc-mode-map "x" 'calc-execute-extended-command) (define-key calc-mode-map "y" 'calc-copy-to-buffer) (define-key calc-mode-map "(" 'calc-begin-complex) (define-key calc-mode-map ")" 'calc-end-complex) (define-key calc-mode-map "[" 'calc-begin-vector) (define-key calc-mode-map "]" 'calc-end-vector) (define-key calc-mode-map "," 'calc-comma) (define-key calc-mode-map ";" 'calc-semi) (define-key calc-mode-map "`" 'calc-edit) (define-key calc-mode-map "=" 'calc-evaluate) (define-key calc-mode-map "~" 'calc-num-prefix) (define-key calc-mode-map "<" 'calc-scroll-left) (define-key calc-mode-map ">" 'calc-scroll-right) (define-key calc-mode-map "{" 'calc-scroll-down) (define-key calc-mode-map "}" 'calc-scroll-up) (define-key calc-mode-map "\C-k" 'calc-kill) (define-key calc-mode-map "\M-k" 'calc-copy-as-kill) (define-key calc-mode-map "\C-w" 'calc-kill-region) (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill) (define-key calc-mode-map "\M-\C-w" 'kill-ring-save) (define-key calc-mode-map "\M-\C-m" 'calc-last-args) (define-key calc-mode-map "a" nil) (define-key calc-mode-map "a?" 'calc-a-prefix-help) (define-key calc-mode-map "aa" 'calc-apart) (define-key calc-mode-map "ab" 'calc-substitute) (define-key calc-mode-map "ac" 'calc-collect) (define-key calc-mode-map "ad" 'calc-derivative) (define-key calc-mode-map "ae" 'calc-simplify-extended) (define-key calc-mode-map "af" 'calc-factor) (define-key calc-mode-map "ag" 'calc-poly-gcd) (define-key calc-mode-map "ai" 'calc-integral) (define-key calc-mode-map "am" 'calc-match) (define-key calc-mode-map "an" 'calc-normalize-rat) (define-key calc-mode-map "ap" 'calc-poly-interp) (define-key calc-mode-map "ar" 'calc-rewrite) (define-key calc-mode-map "as" 'calc-simplify) (define-key calc-mode-map "at" 'calc-taylor) (define-key calc-mode-map "av" 'calc-alg-evaluate) (define-key calc-mode-map "ax" 'calc-expand) (define-key calc-mode-map "aA" 'calc-abs) (define-key calc-mode-map "aF" 'calc-curve-fit) (define-key calc-mode-map "aI" 'calc-num-integral) (define-key calc-mode-map "aM" 'calc-map-equation) (define-key calc-mode-map "aN" 'calc-find-minimum) (define-key calc-mode-map "aP" 'calc-poly-roots) (define-key calc-mode-map "aS" 'calc-solve-for) (define-key calc-mode-map "aR" 'calc-find-root) (define-key calc-mode-map "aT" 'calc-tabulate) (define-key calc-mode-map "aX" 'calc-find-maximum) (define-key calc-mode-map "a+" 'calc-summation) (define-key calc-mode-map "a-" 'calc-alt-summation) (define-key calc-mode-map "a*" 'calc-product) (define-key calc-mode-map "a\\" 'calc-poly-div) (define-key calc-mode-map "a%" 'calc-poly-rem) (define-key calc-mode-map "a/" 'calc-poly-div-rem) (define-key calc-mode-map "a=" 'calc-equal-to) (define-key calc-mode-map "a#" 'calc-not-equal-to) (define-key calc-mode-map "a<" 'calc-less-than) (define-key calc-mode-map "a>" 'calc-greater-than) (define-key calc-mode-map "a[" 'calc-less-equal) (define-key calc-mode-map "a]" 'calc-greater-equal) (define-key calc-mode-map "a." 'calc-remove-equal) (define-key calc-mode-map "a{" 'calc-in-set) (define-key calc-mode-map "a&" 'calc-logical-and) (define-key calc-mode-map "a|" 'calc-logical-or) (define-key calc-mode-map "a!" 'calc-logical-not) (define-key calc-mode-map "a:" 'calc-logical-if) (define-key calc-mode-map "a_" 'calc-subscript) (define-key calc-mode-map "a\"" 'calc-expand-formula) (define-key calc-mode-map "b" nil) (define-key calc-mode-map "b?" 'calc-b-prefix-help) (define-key calc-mode-map "ba" 'calc-and) (define-key calc-mode-map "bc" 'calc-clip) (define-key calc-mode-map "bd" 'calc-diff) (define-key calc-mode-map "bl" 'calc-lshift-binary) (define-key calc-mode-map "bn" 'calc-not) (define-key calc-mode-map "bo" 'calc-or) (define-key calc-mode-map "bp" 'calc-pack-bits) (define-key calc-mode-map "br" 'calc-rshift-binary) (define-key calc-mode-map "bt" 'calc-rotate-binary) (define-key calc-mode-map "bu" 'calc-unpack-bits) (define-key calc-mode-map "bw" 'calc-word-size) (define-key calc-mode-map "bx" 'calc-xor) (define-key calc-mode-map "bB" 'calc-log) (define-key calc-mode-map "bD" 'calc-fin-ddb) (define-key calc-mode-map "bF" 'calc-fin-fv) (define-key calc-mode-map "bI" 'calc-fin-irr) (define-key calc-mode-map "bL" 'calc-lshift-arith) (define-key calc-mode-map "bM" 'calc-fin-pmt) (define-key calc-mode-map "bN" 'calc-fin-npv) (define-key calc-mode-map "bP" 'calc-fin-pv) (define-key calc-mode-map "bR" 'calc-rshift-arith) (define-key calc-mode-map "bS" 'calc-fin-sln) (define-key calc-mode-map "bT" 'calc-fin-rate) (define-key calc-mode-map "bY" 'calc-fin-syd) (define-key calc-mode-map "b#" 'calc-fin-nper) (define-key calc-mode-map "b%" 'calc-percent-change) (define-key calc-mode-map "c" nil) (define-key calc-mode-map "c?" 'calc-c-prefix-help) (define-key calc-mode-map "cc" 'calc-clean) (define-key calc-mode-map "cd" 'calc-to-degrees) (define-key calc-mode-map "cf" 'calc-float) (define-key calc-mode-map "ch" 'calc-to-hms) (define-key calc-mode-map "cp" 'calc-polar) (define-key calc-mode-map "cr" 'calc-to-radians) (define-key calc-mode-map "cC" 'calc-cos) (define-key calc-mode-map "cF" 'calc-fraction) (define-key calc-mode-map "c%" 'calc-convert-percent) (define-key calc-mode-map "d" nil) (define-key calc-mode-map "d?" 'calc-d-prefix-help) (define-key calc-mode-map "d0" 'calc-decimal-radix) (define-key calc-mode-map "d2" 'calc-binary-radix) (define-key calc-mode-map "d6" 'calc-hex-radix) (define-key calc-mode-map "d8" 'calc-octal-radix) (define-key calc-mode-map "db" 'calc-line-breaking) (define-key calc-mode-map "dc" 'calc-complex-notation) (define-key calc-mode-map "dd" 'calc-date-notation) (define-key calc-mode-map "de" 'calc-eng-notation) (define-key calc-mode-map "df" 'calc-fix-notation) (define-key calc-mode-map "dg" 'calc-group-digits) (define-key calc-mode-map "dh" 'calc-hms-notation) (define-key calc-mode-map "di" 'calc-i-notation) (define-key calc-mode-map "dj" 'calc-j-notation) (define-key calc-mode-map "dl" 'calc-line-numbering) (define-key calc-mode-map "dn" 'calc-normal-notation) (define-key calc-mode-map "do" 'calc-over-notation) (define-key calc-mode-map "dp" 'calc-show-plain) (define-key calc-mode-map "dr" 'calc-radix) (define-key calc-mode-map "ds" 'calc-sci-notation) (define-key calc-mode-map "dt" 'calc-truncate-stack) (define-key calc-mode-map "dw" 'calc-auto-why) (define-key calc-mode-map "dz" 'calc-leading-zeros) (define-key calc-mode-map "dA" 'calc-giac-language) (define-key calc-mode-map "dB" 'calc-big-language) (define-key calc-mode-map "dD" 'calc-redo) (define-key calc-mode-map "dC" 'calc-c-language) (define-key calc-mode-map "dE" 'calc-eqn-language) (define-key calc-mode-map "dF" 'calc-fortran-language) (define-key calc-mode-map "dM" 'calc-mathematica-language) (define-key calc-mode-map "dN" 'calc-normal-language) (define-key calc-mode-map "dO" 'calc-flat-language) (define-key calc-mode-map "dP" 'calc-pascal-language) (define-key calc-mode-map "dT" 'calc-tex-language) (define-key calc-mode-map "dL" 'calc-latex-language) (define-key calc-mode-map "dU" 'calc-unformatted-language) (define-key calc-mode-map "dW" 'calc-maple-language) (define-key calc-mode-map "dX" 'calc-maxima-language) (define-key calc-mode-map "dY" 'calc-yacas-language) (define-key calc-mode-map "d[" 'calc-truncate-up) (define-key calc-mode-map "d]" 'calc-truncate-down) (define-key calc-mode-map "d." 'calc-point-char) (define-key calc-mode-map "d," 'calc-group-char) (define-key calc-mode-map "d\"" 'calc-display-strings) (define-key calc-mode-map "d<" 'calc-left-justify) (define-key calc-mode-map "d=" 'calc-center-justify) (define-key calc-mode-map "d>" 'calc-right-justify) (define-key calc-mode-map "d{" 'calc-left-label) (define-key calc-mode-map "d}" 'calc-right-label) (define-key calc-mode-map "d'" 'calc-display-raw) (define-key calc-mode-map "d " 'calc-refresh) (define-key calc-mode-map "d\r" 'calc-refresh-top) (define-key calc-mode-map "d@" 'calc-toggle-banner) (define-key calc-mode-map "f" nil) (define-key calc-mode-map "f?" 'calc-f-prefix-help) (define-key calc-mode-map "fb" 'calc-beta) (define-key calc-mode-map "fe" 'calc-erf) (define-key calc-mode-map "fg" 'calc-gamma) (define-key calc-mode-map "fh" 'calc-hypot) (define-key calc-mode-map "fi" 'calc-im) (define-key calc-mode-map "fj" 'calc-bessel-J) (define-key calc-mode-map "fn" 'calc-min) (define-key calc-mode-map "fr" 'calc-re) (define-key calc-mode-map "fs" 'calc-sign) (define-key calc-mode-map "fx" 'calc-max) (define-key calc-mode-map "fy" 'calc-bessel-Y) (define-key calc-mode-map "fA" 'calc-abssqr) (define-key calc-mode-map "fB" 'calc-inc-beta) (define-key calc-mode-map "fE" 'calc-expm1) (define-key calc-mode-map "fF" 'calc-floor) (define-key calc-mode-map "fG" 'calc-inc-gamma) (define-key calc-mode-map "fI" 'calc-ilog) (define-key calc-mode-map "fL" 'calc-lnp1) (define-key calc-mode-map "fM" 'calc-mant-part) (define-key calc-mode-map "fQ" 'calc-isqrt) (define-key calc-mode-map "fS" 'calc-scale-float) (define-key calc-mode-map "fT" 'calc-arctan2) (define-key calc-mode-map "fX" 'calc-xpon-part) (define-key calc-mode-map "f[" 'calc-decrement) (define-key calc-mode-map "f]" 'calc-increment) (define-key calc-mode-map "g" nil) (define-key calc-mode-map "g?" 'calc-g-prefix-help) (define-key calc-mode-map "ga" 'calc-graph-add) (define-key calc-mode-map "gb" 'calc-graph-border) (define-key calc-mode-map "gc" 'calc-graph-clear) (define-key calc-mode-map "gd" 'calc-graph-delete) (define-key calc-mode-map "gf" 'calc-graph-fast) (define-key calc-mode-map "gg" 'calc-graph-grid) (define-key calc-mode-map "gh" 'calc-graph-header) (define-key calc-mode-map "gk" 'calc-graph-key) (define-key calc-mode-map "gj" 'calc-graph-juggle) (define-key calc-mode-map "gl" 'calc-graph-log-x) (define-key calc-mode-map "gn" 'calc-graph-name) (define-key calc-mode-map "gp" 'calc-graph-plot) (define-key calc-mode-map "gq" 'calc-graph-quit) (define-key calc-mode-map "gr" 'calc-graph-range-x) (define-key calc-mode-map "gs" 'calc-graph-line-style) (define-key calc-mode-map "gt" 'calc-graph-title-x) (define-key calc-mode-map "gv" 'calc-graph-view-commands) (define-key calc-mode-map "gx" 'calc-graph-display) (define-key calc-mode-map "gz" 'calc-graph-zero-x) (define-key calc-mode-map "gA" 'calc-graph-add-3d) (define-key calc-mode-map "gC" 'calc-graph-command) (define-key calc-mode-map "gD" 'calc-graph-device) (define-key calc-mode-map "gF" 'calc-graph-fast-3d) (define-key calc-mode-map "gG" 'calc-argument) (define-key calc-mode-map "gH" 'calc-graph-hide) (define-key calc-mode-map "gK" 'calc-graph-kill) (define-key calc-mode-map "gL" 'calc-graph-log-y) (define-key calc-mode-map "gN" 'calc-graph-num-points) (define-key calc-mode-map "gO" 'calc-graph-output) (define-key calc-mode-map "gP" 'calc-graph-print) (define-key calc-mode-map "gR" 'calc-graph-range-y) (define-key calc-mode-map "gS" 'calc-graph-point-style) (define-key calc-mode-map "gT" 'calc-graph-title-y) (define-key calc-mode-map "gV" 'calc-graph-view-trail) (define-key calc-mode-map "gX" 'calc-graph-geometry) (define-key calc-mode-map "gZ" 'calc-graph-zero-y) (define-key calc-mode-map "g\C-l" 'calc-graph-log-z) (define-key calc-mode-map "g\C-r" 'calc-graph-range-z) (define-key calc-mode-map "g\C-t" 'calc-graph-title-z) (define-key calc-mode-map "h" 'calc-help-prefix) (define-key calc-mode-map "j" nil) (define-key calc-mode-map "j?" 'calc-j-prefix-help) (define-key calc-mode-map "ja" 'calc-select-additional) (define-key calc-mode-map "jb" 'calc-break-selections) (define-key calc-mode-map "jc" 'calc-clear-selections) (define-key calc-mode-map "jd" 'calc-show-selections) (define-key calc-mode-map "je" 'calc-enable-selections) (define-key calc-mode-map "jl" 'calc-select-less) (define-key calc-mode-map "jm" 'calc-select-more) (define-key calc-mode-map "jn" 'calc-select-next) (define-key calc-mode-map "jo" 'calc-select-once) (define-key calc-mode-map "jp" 'calc-select-previous) (define-key calc-mode-map "jr" 'calc-rewrite-selection) (define-key calc-mode-map "js" 'calc-select-here) (define-key calc-mode-map "jv" 'calc-sel-evaluate) (define-key calc-mode-map "ju" 'calc-unselect) (define-key calc-mode-map "jC" 'calc-sel-commute) (define-key calc-mode-map "jD" 'calc-sel-distribute) (define-key calc-mode-map "jE" 'calc-sel-jump-equals) (define-key calc-mode-map "jI" 'calc-sel-isolate) (define-key calc-mode-map "jJ" 'calc-conj) (define-key calc-mode-map "jL" 'calc-commute-left) (define-key calc-mode-map "jM" 'calc-sel-merge) (define-key calc-mode-map "jN" 'calc-sel-negate) (define-key calc-mode-map "jO" 'calc-select-once-maybe) (define-key calc-mode-map "jR" 'calc-commute-right) (define-key calc-mode-map "jS" 'calc-select-here-maybe) (define-key calc-mode-map "jU" 'calc-sel-unpack) (define-key calc-mode-map "j&" 'calc-sel-invert) (define-key calc-mode-map "j\r" 'calc-copy-selection) (define-key calc-mode-map "j\n" 'calc-copy-selection) (define-key calc-mode-map "j\010" 'calc-del-selection) (define-key calc-mode-map "j\177" 'calc-del-selection) (define-key calc-mode-map "j'" 'calc-enter-selection) (define-key calc-mode-map "j`" 'calc-edit-selection) (define-key calc-mode-map "j+" 'calc-sel-add-both-sides) (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides) (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides) (define-key calc-mode-map "j/" 'calc-sel-div-both-sides) (define-key calc-mode-map "j\"" 'calc-sel-expand-formula) (define-key calc-mode-map "k" nil) (define-key calc-mode-map "k?" 'calc-k-prefix-help) (define-key calc-mode-map "ka" 'calc-random-again) (define-key calc-mode-map "kb" 'calc-bernoulli-number) (define-key calc-mode-map "kc" 'calc-choose) (define-key calc-mode-map "kd" 'calc-double-factorial) (define-key calc-mode-map "ke" 'calc-euler-number) (define-key calc-mode-map "kf" 'calc-prime-factors) (define-key calc-mode-map "kg" 'calc-gcd) (define-key calc-mode-map "kh" 'calc-shuffle) (define-key calc-mode-map "kl" 'calc-lcm) (define-key calc-mode-map "km" 'calc-moebius) (define-key calc-mode-map "kn" 'calc-next-prime) (define-key calc-mode-map "kp" 'calc-prime-test) (define-key calc-mode-map "kr" 'calc-random) (define-key calc-mode-map "ks" 'calc-stirling-number) (define-key calc-mode-map "kt" 'calc-totient) (define-key calc-mode-map "kB" 'calc-utpb) (define-key calc-mode-map "kC" 'calc-utpc) (define-key calc-mode-map "kE" 'calc-extended-gcd) (define-key calc-mode-map "kF" 'calc-utpf) (define-key calc-mode-map "kK" 'calc-keep-args) (define-key calc-mode-map "kN" 'calc-utpn) (define-key calc-mode-map "kP" 'calc-utpp) (define-key calc-mode-map "kT" 'calc-utpt) (define-key calc-mode-map "l" nil) (define-key calc-mode-map "lq" 'calc-lu-quant) (define-key calc-mode-map "ld" 'calc-db) (define-key calc-mode-map "ln" 'calc-np) (define-key calc-mode-map "l+" 'calc-lu-plus) (define-key calc-mode-map "l-" 'calc-lu-minus) (define-key calc-mode-map "l*" 'calc-lu-times) (define-key calc-mode-map "l/" 'calc-lu-divide) (define-key calc-mode-map "ls" 'calc-spn) (define-key calc-mode-map "lm" 'calc-midi) (define-key calc-mode-map "lf" 'calc-freq) (define-key calc-mode-map "l?" 'calc-l-prefix-help) (define-key calc-mode-map "m" nil) (define-key calc-mode-map "m?" 'calc-m-prefix-help) (define-key calc-mode-map "ma" 'calc-algebraic-mode) (define-key calc-mode-map "md" 'calc-degrees-mode) (define-key calc-mode-map "me" 'calc-embedded-preserve-modes) (define-key calc-mode-map "mf" 'calc-frac-mode) (define-key calc-mode-map "mg" 'calc-get-modes) (define-key calc-mode-map "mh" 'calc-hms-mode) (define-key calc-mode-map "mi" 'calc-infinite-mode) (define-key calc-mode-map "mm" 'calc-save-modes) (define-key calc-mode-map "mp" 'calc-polar-mode) (define-key calc-mode-map "mr" 'calc-radians-mode) (define-key calc-mode-map "ms" 'calc-symbolic-mode) (define-key calc-mode-map "mt" 'calc-total-algebraic-mode) (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode) (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode) (define-key calc-mode-map "mv" 'calc-matrix-mode) (define-key calc-mode-map "mw" 'calc-working) (define-key calc-mode-map "mx" 'calc-always-load-extensions) (define-key calc-mode-map "mA" 'calc-alg-simplify-mode) (define-key calc-mode-map "mB" 'calc-bin-simplify-mode) (define-key calc-mode-map "mC" 'calc-auto-recompute) (define-key calc-mode-map "mD" 'calc-default-simplify-mode) (define-key calc-mode-map "mE" 'calc-ext-simplify-mode) (define-key calc-mode-map "mF" 'calc-settings-file-name) (define-key calc-mode-map "mI" 'calc-basic-simplify-mode) (define-key calc-mode-map "mM" 'calc-more-recursion-depth) (define-key calc-mode-map "mN" 'calc-num-simplify-mode) (define-key calc-mode-map "mO" 'calc-no-simplify-mode) (define-key calc-mode-map "mR" 'calc-mode-record-mode) (define-key calc-mode-map "mS" 'calc-shift-prefix) (define-key calc-mode-map "mU" 'calc-units-simplify-mode) (define-key calc-mode-map "mX" 'calc-load-everything) (define-key calc-mode-map "r" nil) (define-key calc-mode-map "ri" 'calc-insert-register) (define-key calc-mode-map "rs" 'calc-copy-to-register) (define-key calc-mode-map "r?" 'calc-r-prefix-help) (define-key calc-mode-map "s" nil) (define-key calc-mode-map "s?" 'calc-s-prefix-help) (define-key calc-mode-map "sc" 'calc-copy-variable) (define-key calc-mode-map "sd" 'calc-declare-variable) (define-key calc-mode-map "se" 'calc-edit-variable) (define-key calc-mode-map "si" 'calc-insert-variables) (define-key calc-mode-map "sk" 'calc-copy-special-constant) (define-key calc-mode-map "sl" 'calc-let) (define-key calc-mode-map "sm" 'calc-store-map) (define-key calc-mode-map "sn" 'calc-store-neg) (define-key calc-mode-map "sp" 'calc-permanent-variable) (define-key calc-mode-map "sr" 'calc-recall) (define-key calc-mode-map "ss" 'calc-store) (define-key calc-mode-map "st" 'calc-store-into) (define-key calc-mode-map "su" 'calc-unstore) (define-key calc-mode-map "sx" 'calc-store-exchange) (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules) (define-key calc-mode-map "sD" 'calc-edit-Decls) (define-key calc-mode-map "sE" 'calc-edit-EvalRules) (define-key calc-mode-map "sF" 'calc-edit-FitRules) (define-key calc-mode-map "sG" 'calc-edit-GenCount) (define-key calc-mode-map "sH" 'calc-edit-Holidays) (define-key calc-mode-map "sI" 'calc-edit-IntegLimit) (define-key calc-mode-map "sL" 'calc-edit-LineStyles) (define-key calc-mode-map "sP" 'calc-edit-PointStyles) (define-key calc-mode-map "sR" 'calc-edit-PlotRejects) (define-key calc-mode-map "sS" 'calc-sin) (define-key calc-mode-map "sT" 'calc-edit-TimeZone) (define-key calc-mode-map "sU" 'calc-edit-Units) (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules) (define-key calc-mode-map "s+" 'calc-store-plus) (define-key calc-mode-map "s-" 'calc-store-minus) (define-key calc-mode-map "s*" 'calc-store-times) (define-key calc-mode-map "s/" 'calc-store-div) (define-key calc-mode-map "s^" 'calc-store-power) (define-key calc-mode-map "s|" 'calc-store-concat) (define-key calc-mode-map "s&" 'calc-store-inv) (define-key calc-mode-map "s[" 'calc-store-decr) (define-key calc-mode-map "s]" 'calc-store-incr) (define-key calc-mode-map "s:" 'calc-assign) (define-key calc-mode-map "s=" 'calc-evalto) (define-key calc-mode-map "t" nil) (define-key calc-mode-map "t?" 'calc-t-prefix-help) (define-key calc-mode-map "tb" 'calc-trail-backward) (define-key calc-mode-map "td" 'calc-trail-display) (define-key calc-mode-map "tf" 'calc-trail-forward) (define-key calc-mode-map "th" 'calc-trail-here) (define-key calc-mode-map "ti" 'calc-trail-in) (define-key calc-mode-map "tk" 'calc-trail-kill) (define-key calc-mode-map "tm" 'calc-trail-marker) (define-key calc-mode-map "tn" 'calc-trail-next) (define-key calc-mode-map "to" 'calc-trail-out) (define-key calc-mode-map "tp" 'calc-trail-previous) (define-key calc-mode-map "tr" 'calc-trail-isearch-backward) (define-key calc-mode-map "ts" 'calc-trail-isearch-forward) (define-key calc-mode-map "ty" 'calc-trail-yank) (define-key calc-mode-map "t[" 'calc-trail-first) (define-key calc-mode-map "t]" 'calc-trail-last) (define-key calc-mode-map "t<" 'calc-trail-scroll-left) (define-key calc-mode-map "t>" 'calc-trail-scroll-right) (define-key calc-mode-map "t{" 'calc-trail-backward) (define-key calc-mode-map "t}" 'calc-trail-forward) (define-key calc-mode-map "t." 'calc-full-trail-vectors) (define-key calc-mode-map "tC" 'calc-convert-time-zones) (define-key calc-mode-map "tD" 'calc-date) (define-key calc-mode-map "tI" 'calc-inc-month) (define-key calc-mode-map "tJ" 'calc-julian) (define-key calc-mode-map "tM" 'calc-new-month) (define-key calc-mode-map "tN" 'calc-now) (define-key calc-mode-map "tP" 'calc-date-part) (define-key calc-mode-map "tT" 'calc-tan) (define-key calc-mode-map "tU" 'calc-unix-time) (define-key calc-mode-map "tW" 'calc-new-week) (define-key calc-mode-map "tY" 'calc-new-year) (define-key calc-mode-map "tZ" 'calc-time-zone) (define-key calc-mode-map "t+" 'calc-business-days-plus) (define-key calc-mode-map "t-" 'calc-business-days-minus) (define-key calc-mode-map "u" 'nil) (define-key calc-mode-map "u?" 'calc-u-prefix-help) (define-key calc-mode-map "ua" 'calc-autorange-units) (define-key calc-mode-map "ub" 'calc-base-units) (define-key calc-mode-map "uc" 'calc-convert-units) (define-key calc-mode-map "ud" 'calc-define-unit) (define-key calc-mode-map "ue" 'calc-explain-units) (define-key calc-mode-map "ug" 'calc-get-unit-definition) (define-key calc-mode-map "un" 'calc-convert-exact-units) (define-key calc-mode-map "up" 'calc-permanent-units) (define-key calc-mode-map "ur" 'calc-remove-units) (define-key calc-mode-map "us" 'calc-simplify-units) (define-key calc-mode-map "ut" 'calc-convert-temperature) (define-key calc-mode-map "uu" 'calc-undefine-unit) (define-key calc-mode-map "uv" 'calc-enter-units-table) (define-key calc-mode-map "ux" 'calc-extract-units) (define-key calc-mode-map "uV" 'calc-view-units-table) (define-key calc-mode-map "uC" 'calc-vector-covariance) (define-key calc-mode-map "uG" 'calc-vector-geometric-mean) (define-key calc-mode-map "uM" 'calc-vector-mean) (define-key calc-mode-map "uN" 'calc-vector-min) (define-key calc-mode-map "uR" 'calc-vector-rms) (define-key calc-mode-map "uS" 'calc-vector-sdev) (define-key calc-mode-map "uU" 'calc-undo) (define-key calc-mode-map "uX" 'calc-vector-max) (define-key calc-mode-map "u#" 'calc-vector-count) (define-key calc-mode-map "u+" 'calc-vector-sum) (define-key calc-mode-map "u*" 'calc-vector-product) (define-key calc-mode-map "v" 'nil) (define-key calc-mode-map "v?" 'calc-v-prefix-help) (define-key calc-mode-map "va" 'calc-arrange-vector) (define-key calc-mode-map "vb" 'calc-build-vector) (define-key calc-mode-map "vc" 'calc-mcol) (define-key calc-mode-map "vd" 'calc-diag) (define-key calc-mode-map "ve" 'calc-expand-vector) (define-key calc-mode-map "vf" 'calc-vector-find) (define-key calc-mode-map "vh" 'calc-head) (define-key calc-mode-map "vi" 'calc-ident) (define-key calc-mode-map "vk" 'calc-cons) (define-key calc-mode-map "vl" 'calc-vlength) (define-key calc-mode-map "vm" 'calc-mask-vector) (define-key calc-mode-map "vn" 'calc-rnorm) (define-key calc-mode-map "vp" 'calc-pack) (define-key calc-mode-map "vr" 'calc-mrow) (define-key calc-mode-map "vs" 'calc-subvector) (define-key calc-mode-map "vt" 'calc-transpose) (define-key calc-mode-map "vu" 'calc-unpack) (define-key calc-mode-map "vv" 'calc-reverse-vector) (define-key calc-mode-map "vx" 'calc-index) (define-key calc-mode-map "vA" 'calc-apply) (define-key calc-mode-map "vC" 'calc-cross) (define-key calc-mode-map "vK" 'calc-kron) (define-key calc-mode-map "vD" 'calc-mdet) (define-key calc-mode-map "vE" 'calc-set-enumerate) (define-key calc-mode-map "vF" 'calc-set-floor) (define-key calc-mode-map "vG" 'calc-grade) (define-key calc-mode-map "vH" 'calc-histogram) (define-key calc-mode-map "vI" 'calc-inner-product) (define-key calc-mode-map "vJ" 'calc-conj-transpose) (define-key calc-mode-map "vL" 'calc-mlud) (define-key calc-mode-map "vM" 'calc-map) (define-key calc-mode-map "vN" 'calc-cnorm) (define-key calc-mode-map "vO" 'calc-outer-product) (define-key calc-mode-map "vR" 'calc-reduce) (define-key calc-mode-map "vS" 'calc-sort) (define-key calc-mode-map "vT" 'calc-mtrace) (define-key calc-mode-map "vU" 'calc-accumulate) (define-key calc-mode-map "vV" 'calc-set-union) (define-key calc-mode-map "vX" 'calc-set-xor) (define-key calc-mode-map "v^" 'calc-set-intersect) (define-key calc-mode-map "v-" 'calc-set-difference) (define-key calc-mode-map "v~" 'calc-set-complement) (define-key calc-mode-map "v:" 'calc-set-span) (define-key calc-mode-map "v#" 'calc-set-cardinality) (define-key calc-mode-map "v+" 'calc-remove-duplicates) (define-key calc-mode-map "v&" 'calc-inv) (define-key calc-mode-map "v<" 'calc-matrix-left-justify) (define-key calc-mode-map "v=" 'calc-matrix-center-justify) (define-key calc-mode-map "v>" 'calc-matrix-right-justify) (define-key calc-mode-map "v." 'calc-full-vectors) (define-key calc-mode-map "v/" 'calc-break-vectors) (define-key calc-mode-map "v," 'calc-vector-commas) (define-key calc-mode-map "v[" 'calc-vector-brackets) (define-key calc-mode-map "v]" 'calc-matrix-brackets) (define-key calc-mode-map "v{" 'calc-vector-braces) (define-key calc-mode-map "v}" 'calc-matrix-brackets) (define-key calc-mode-map "v(" 'calc-vector-parens) (define-key calc-mode-map "v)" 'calc-matrix-brackets) ;; We can't rely on the automatic upper->lower conversion because ;; in the global map V is explicitly bound, so we need to bind it ;; explicitly as well :-( --stef (define-key calc-mode-map "V" (lookup-key calc-mode-map "v")) (define-key calc-mode-map "z" 'nil) (define-key calc-mode-map "z?" 'calc-z-prefix-help) (define-key calc-mode-map "Z" 'nil) (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help) (define-key calc-mode-map "ZC" 'calc-user-define-composition) (define-key calc-mode-map "ZD" 'calc-user-define) (define-key calc-mode-map "ZE" 'calc-user-define-edit) (define-key calc-mode-map "ZF" 'calc-user-define-formula) (define-key calc-mode-map "ZG" 'calc-get-user-defn) (define-key calc-mode-map "ZI" 'calc-user-define-invocation) (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro) (define-key calc-mode-map "ZP" 'calc-user-define-permanent) (define-key calc-mode-map "ZS" 'calc-edit-user-syntax) (define-key calc-mode-map "ZT" 'calc-timing) (define-key calc-mode-map "ZU" 'calc-user-undefine) (define-key calc-mode-map "Z[" 'calc-kbd-if) (define-key calc-mode-map "Z:" 'calc-kbd-else) (define-key calc-mode-map "Z|" 'calc-kbd-else-if) (define-key calc-mode-map "Z]" 'calc-kbd-end-if) (define-key calc-mode-map "Z<" 'calc-kbd-repeat) (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat) (define-key calc-mode-map "Z(" 'calc-kbd-for) (define-key calc-mode-map "Z)" 'calc-kbd-end-for) (define-key calc-mode-map "Z{" 'calc-kbd-loop) (define-key calc-mode-map "Z}" 'calc-kbd-end-loop) (define-key calc-mode-map "Z/" 'calc-kbd-break) (define-key calc-mode-map "Z`" 'calc-kbd-push) (define-key calc-mode-map "Z'" 'calc-kbd-pop) (define-key calc-mode-map "Z#" 'calc-kbd-query) (calc-init-prefixes) (mapc (lambda (x) (define-key calc-mode-map (format "c%c" x) 'calc-clean-num) (define-key calc-mode-map (format "j%c" x) 'calc-select-part) (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick) (define-key calc-mode-map (format "s%c" x) 'calc-store-quick) (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick) (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)) "0123456789") (let ((i ?A)) (while (<= i ?z) (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap) (aset (nth 1 calc-mode-map) i (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i)) (cdr (aref (nth 1 calc-mode-map) i)))))) (setq i (1+ i)))) (setq calc-alg-map (copy-keymap calc-mode-map) calc-alg-esc-map (copy-keymap esc-map)) (let ((i 32)) (while (< i 127) (or (memq i '(?' ?` ?= ??)) (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry)) (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9)) (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i))) (setq i (1+ i)))) (define-key calc-alg-map "\e" calc-alg-esc-map) (define-key calc-alg-map "\e\t" 'calc-roll-up) (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub) (define-key calc-alg-map "\e\177" 'calc-pop-above) ;;;; (Autoloads here) (mapc (lambda (x) (mapcar (lambda (func) (autoload func (car x))) (cdr x))) '( ("calc-alg" calc-has-rules math-defsimplify calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep math-build-polynomial-expr math-expand-formula math-expr-contains math-expr-contains-count math-expr-depends math-expr-height math-expr-subst math-expr-weight math-integer-plus math-is-linear math-is-multiple math-is-polynomial math-linear-in math-multiple-of math-poly-depends math-poly-mix math-poly-mul math-poly-simplify math-poly-zerop math-polynomial-base math-polynomial-p math-recompile-eval-rules math-simplify math-simplify-exp math-simplify-extended math-simplify-sqrt math-to-simple-fraction) ("calcalg2" calcFunc-asum calcFunc-deriv calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12 math-integral-rational-funcs math-lcm-denoms math-looks-evenp math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn math-solve-for math-sum-rec math-try-integral) ("calcalg3" calcFunc-efit calcFunc-fit calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate math-ninteg-midpoint math-ninteg-romberg math-poly-interp) ("calc-arith" calcFunc-abs calcFunc-abssqr calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx math-add-objects-fancy math-add-or-sub math-add-symb-fancy math-ceiling math-combine-prod math-combine-sum math-div-by-zero math-div-objects-fancy math-div-symb-fancy math-div-zero math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg math-intv-constp math-known-evenp math-known-imagp math-known-integerp math-known-matrixp math-known-negp math-known-nonnegp math-known-nonposp math-known-nonzerop math-known-num-integerp math-known-oddp math-known-posp math-known-realp math-known-scalarp math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy math-neg-float math-okay-neg math-possible-signs math-possible-types math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero math-quarter-integer math-round math-setup-declarations math-sqr math-sqr-float math-trunc-fancy math-trunc-special) ("calc-bin" calcFunc-and calcFunc-ash calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip math-compute-max-digits math-convert-radix-digits math-float-parts math-format-binary math-format-radix math-format-radix-float math-integer-log2 math-power-of-2 math-radix-float-power) ("calc-comb" calc-report-prime-test calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2 calcFunc-totient math-init-random-base math-member math-prime-test math-random-base) ("calccomp" calcFunc-cascent calcFunc-cdescent calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent math-comp-height math-comp-width math-compose-expr math-composition-to-string math-stack-value-offset-fancy math-vector-is-string math-vector-to-string) ("calc-cplx" calcFunc-arg calcFunc-conj calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex math-fix-circular math-imaginary math-imaginary-i math-normalize-polar math-polar math-want-polar) ("calc-embed" calc-do-embedded calc-do-embedded-activate calc-embedded-evaluate-expr calc-embedded-modes-change calc-embedded-var-change calc-embedded-preserve-modes) ("calc-fin" calc-to-percentage calcFunc-ddb calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd) ("calc-forms" calcFunc-badd calcFunc-bsub calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals math-date-parts math-date-to-dt math-div-mod math-dt-to-date math-format-date math-from-business-day math-from-hms math-make-intv math-make-mod math-make-sdev math-mod-intv math-normalize-hms math-normalize-mod math-parse-date math-read-angle-brackets math-setup-add-holidays math-setup-holidays math-setup-year-holidays math-sort-intv math-to-business-day math-to-hms) ("calc-frac" calc-add-fractions calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac math-make-frac) ("calc-funcs" calc-prob-dist calcFunc-bern calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt math-bernoulli-number math-gammap1-raw) ("calc-graph" calc-graph-show-tty) ("calc-incom" calc-digit-dots) ("calc-keypd" calc-do-keypad calc-keypad-left-click calc-keypad-middle-click calc-keypad-right-click) ("calc-lang" calc-set-language math-read-big-balance math-read-big-rec) ("calc-map" calc-get-operator calcFunc-accum calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec calcFunc-rreduced calcFunc-rreducer math-build-call math-calcFunc-to-var math-multi-subst math-multi-subst-rec math-var-to-calcFunc) ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud math-mul-mat-vec math-mul-mats math-row-matrix) ("calc-math" calcFunc-alog calcFunc-arccos calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec calcFunc-sech calcFunc-sin calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw math-exp-minus-1-raw math-exp-raw math-from-radians math-from-radians-2 math-hypot math-infinite-dir math-ln-raw math-nearly-equal math-nearly-equal-float math-nearly-zerop math-nearly-zerop-float math-nth-root math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw math-tan-raw math-to-radians math-to-radians-2) ("calc-mode" math-get-modes-vec) ("calc-poly" calcFunc-apart calcFunc-expand calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim calcFunc-prem math-accum-factors math-atomic-factorp math-div-poly-const math-div-thru math-expand-power math-expand-term math-factor-contains math-factor-expr math-factor-finish math-factor-protect math-mul-thru math-padded-polynomial math-partial-fractions math-poly-degree math-poly-deriv-coefs math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p math-to-ratpoly math-to-ratpoly-rec) ("calc-prog" calc-default-formula-arglist calc-execute-kbd-macro calc-finish-user-syntax-edit calc-fix-token-name calc-fix-user-formula calc-read-parse-table calc-read-parse-table-part calc-subsetp calc-write-parse-table calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable math-body-refers-to math-break math-composite-inequalities math-do-defmath math-handle-for math-handle-foreach math-normalize-logical-op math-return) ("calc-rewr" calcFunc-match calcFunc-matches calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches math-apply-rewrites math-compile-patterns math-compile-rewrites math-flatten-lands math-match-patterns math-rewrite math-rewrite-heads) ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules calc-MergeRules calc-NegateRules calc-compile-rule-set) ("calc-sel" calc-auto-selection calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula calc-find-parent-formula calc-find-sub-formula calc-prepare-selection calc-preserve-point calc-replace-selections calc-replace-sub-formula calc-roll-down-with-selections calc-roll-up-with-selections calc-sel-error) ("calc-stat" calc-vector-op calcFunc-agmean calcFunc-rms calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev calcFunc-vsum calcFunc-vvar math-flatten-many-vecs) ("calc-store" calc-read-var-name calc-store-value calc-var-name) ("calc-stuff" calc-explain-why calcFunc-clean calcFunc-pclean calcFunc-pfloat calcFunc-pfrac) ("calc-units" calcFunc-usimplify calcFunc-lufadd calcFunc-lupadd calcFunc-lufsub calcFunc-lupsub calcFunc-lufmul calcFunc-lupmul calcFunc-lufdiv calcFunc-lupdiv calcFunc-lufquant calcFunc-lupquant calcFunc-dbfield calcFunc-dbpower calcFunc-npfield calcFunc-nppower calcFunc-spn calcFunc-midi calcFunc-freq math-build-units-table math-build-units-table-buffer math-check-unit-name math-convert-temperature math-convert-units math-extract-units math-remove-units math-simplify-units math-single-units-in-expr-p math-to-standard-units math-units-in-expr-p) ("calc-vec" calcFunc-append calcFunc-appendrev calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross calcFunc-kron calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix math-dimension-error math-dot-product math-flatten-vector math-map-vec math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set math-read-brackets math-reduce-cols math-reduce-vec math-transpose) ("calc-yank" calc-alg-edit calc-clean-newlines calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit calc-copy-to-register calc-insert-register calc-append-to-register calc-prepend-to-register calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer) )) (mapcar (lambda (x) (mapcar (lambda (cmd) (autoload cmd (car x) nil t)) (cdr x))) '( ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand calc-expand-formula calc-factor calc-normalize-rat calc-poly-div calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify calc-simplify-extended calc-substitute calc-powerexpand) ("calcalg2" calc-alt-summation calc-derivative calc-dump-integral-cache calc-integral calc-num-integral calc-poly-roots calc-product calc-solve-for calc-summation calc-tabulate calc-taylor) ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum calc-find-root calc-poly-interp) ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part) ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size calc-xor) ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius calc-next-prime calc-perm calc-prev-prime calc-prime-factors calc-prime-test calc-random calc-random-again calc-rrandom calc-shuffle calc-totient) ("calc-cplx" calc-argument calc-complex-notation calc-i-notation calc-im calc-j-notation calc-polar calc-polar-mode calc-re) ("calc-embed" calc-embedded-copy-formula-as-kill calc-embedded-duplicate calc-embedded-edit calc-embedded-forget calc-embedded-kill-formula calc-embedded-mark-formula calc-embedded-new-formula calc-embedded-next calc-embedded-previous calc-embedded-select calc-embedded-update-formula calc-embedded-word calc-find-globals calc-show-plain) ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change) ("calc-forms" calc-business-days-minus calc-business-days-plus calc-convert-time-zones calc-date calc-date-notation calc-date-part calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month calc-julian calc-new-month calc-new-week calc-new-year calc-now calc-time calc-time-zone calc-to-hms calc-unix-time) ("calc-frac" calc-fdiv calc-frac-mode calc-fraction calc-over-notation calc-slash-notation) ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf calc-utpn calc-utpp calc-utpt) ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border calc-graph-clear calc-graph-command calc-graph-delete calc-graph-device calc-graph-display calc-graph-fast calc-graph-fast-3d calc-graph-geometry calc-graph-grid calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key calc-graph-kill calc-graph-line-style calc-graph-log-x calc-graph-log-y calc-graph-log-z calc-graph-name calc-graph-num-points calc-graph-output calc-graph-plot calc-graph-point-style calc-graph-print calc-graph-quit calc-graph-range-x calc-graph-range-y calc-graph-range-z calc-graph-show-dumb calc-graph-title-x calc-graph-title-y calc-graph-title-z calc-graph-view-commands calc-graph-view-trail calc-graph-zero-x calc-graph-zero-y) ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help calc-d-prefix-help calc-describe-function calc-describe-key calc-describe-key-briefly calc-describe-variable calc-f-prefix-help calc-full-help calc-g-prefix-help calc-help-prefix calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help calc-option-prefix-help calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help calc-t-prefix-help calc-u-prefix-help calc-l-prefix-help calc-v-prefix-help) ("calc-incom" calc-begin-complex calc-begin-vector calc-comma calc-dots calc-end-complex calc-end-vector calc-semi) ("calc-keypd" calc-keypad-menu calc-keypad-menu-back calc-keypad-press) ("calc-lang" calc-big-language calc-c-language calc-eqn-language calc-flat-language calc-fortran-language calc-maple-language calc-yacas-language calc-maxima-language calc-giac-language calc-mathematica-language calc-normal-language calc-pascal-language calc-tex-language calc-latex-language calc-unformatted-language) ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map calc-map-equation calc-map-stack calc-outer-product calc-reduce) ("calc-mtx" calc-mdet calc-mlud calc-mtrace) ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh calc-cot calc-coth calc-csc calc-csch calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10 calc-pi calc-radians-mode calc-sec calc-sech calc-sin calc-sincos calc-sinh calc-sqrt calc-tan calc-tanh calc-to-degrees calc-to-radians) ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode calc-always-load-extensions calc-auto-recompute calc-auto-why calc-basic-simplify-mode calc-bin-simplify-mode calc-break-vectors calc-center-justify calc-default-simplify-mode calc-display-raw calc-eng-notation calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors calc-full-vectors calc-get-modes calc-group-char calc-group-digits calc-infinite-mode calc-left-justify calc-left-label calc-line-breaking calc-line-numbering calc-matrix-brackets calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode calc-normal-notation calc-num-simplify-mode calc-point-char calc-right-justify calc-right-label calc-save-modes calc-sci-notation calc-settings-file-name calc-shift-prefix calc-symbolic-mode calc-total-algebraic-mode calc-truncate-down calc-truncate-stack calc-truncate-up calc-units-simplify-mode calc-vector-braces calc-vector-brackets calc-vector-commas calc-vector-parens calc-working) ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push calc-kbd-query calc-kbd-repeat calc-less-equal calc-less-than calc-logical-and calc-logical-if calc-logical-not calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal calc-timing calc-user-define calc-user-define-composition calc-user-define-edit calc-user-define-formula calc-user-define-invocation calc-user-define-kbd-macro calc-user-define-permanent calc-user-undefine) ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection) ("calc-sel" calc-break-selections calc-clear-selections calc-copy-selection calc-del-selection calc-edit-selection calc-enable-selections calc-enter-selection calc-sel-add-both-sides calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula calc-sel-mult-both-sides calc-sel-sub-both-sides calc-select-additional calc-select-here calc-select-here-maybe calc-select-less calc-select-more calc-select-next calc-select-once calc-select-once-maybe calc-select-part calc-select-previous calc-show-selections calc-unselect) ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute calc-sel-distribute calc-sel-invert calc-sel-isolate calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack) ("calc-stat" calc-vector-correlation calc-vector-count calc-vector-covariance calc-vector-geometric-mean calc-vector-harmonic-mean calc-vector-max calc-vector-mean calc-vector-mean-error calc-vector-median calc-vector-min calc-vector-pop-covariance calc-vector-pop-sdev calc-vector-pop-variance calc-vector-product calc-vector-rms calc-vector-sdev calc-vector-sum calc-vector-variance) ("calc-store" calc-assign calc-copy-special-constant calc-copy-variable calc-declare-variable calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables calc-let calc-permanent-variable calc-recall calc-recall-quick calc-store calc-store-concat calc-store-decr calc-store-div calc-store-exchange calc-store-incr calc-store-into calc-store-into-quick calc-store-inv calc-store-map calc-store-minus calc-store-neg calc-store-plus calc-store-power calc-store-quick calc-store-times calc-subscript calc-unstore) ("calc-stuff" calc-clean calc-clean-num calc-flush-caches calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix calc-why) ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next calc-trail-out calc-trail-previous calc-trail-scroll-left calc-trail-scroll-right calc-trail-yank) ("calc-undo" calc-last-args calc-redo) ("calc-units" calc-autorange-units calc-base-units calc-convert-temperature calc-convert-units calc-convert-exact-units calc-define-unit calc-enter-units-table calc-explain-units calc-extract-units calc-get-unit-definition calc-permanent-units calc-quick-units calc-remove-units calc-simplify-units calc-undefine-unit calc-view-units-table calc-lu-quant calc-db calc-np calc-lu-plus calc-lu-minus calc-lu-times calc-lu-divide calc-spn calc-midi calc-freq) ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm calc-conj-transpose calc-cons calc-cross calc-kron calc-diag calc-display-strings calc-expand-vector calc-grade calc-head calc-histogram calc-ident calc-index calc-mask-vector calc-mcol calc-mrow calc-pack calc-pack-bits calc-remove-duplicates calc-reverse-vector calc-rnorm calc-set-cardinality calc-set-complement calc-set-difference calc-set-enumerate calc-set-floor calc-set-intersect calc-set-span calc-set-union calc-set-xor calc-sort calc-subvector calc-tail calc-transpose calc-unpack calc-unpack-bits calc-vector-find calc-vlength) ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill calc-copy-to-buffer calc-edit calc-edit-cancel calc--edit-mode calc-kill calc-kill-region calc-yank)))) (defun calc-init-prefixes () (if calc-shift-prefix (progn (define-key calc-mode-map "A" (lookup-key calc-mode-map "a")) (define-key calc-mode-map "B" (lookup-key calc-mode-map "b")) (define-key calc-mode-map "C" (lookup-key calc-mode-map "c")) (define-key calc-mode-map "D" (lookup-key calc-mode-map "d")) (define-key calc-mode-map "F" (lookup-key calc-mode-map "f")) (define-key calc-mode-map "G" (lookup-key calc-mode-map "g")) (define-key calc-mode-map "J" (lookup-key calc-mode-map "j")) (define-key calc-mode-map "K" (lookup-key calc-mode-map "k")) (define-key calc-mode-map "M" (lookup-key calc-mode-map "m")) (define-key calc-mode-map "S" (lookup-key calc-mode-map "s")) (define-key calc-mode-map "T" (lookup-key calc-mode-map "t")) (define-key calc-mode-map "U" (lookup-key calc-mode-map "u"))) (define-key calc-mode-map "A" 'calc-abs) (define-key calc-mode-map "B" 'calc-log) (define-key calc-mode-map "C" 'calc-cos) (define-key calc-mode-map "D" 'calc-redo) (define-key calc-mode-map "F" 'calc-floor) (define-key calc-mode-map "G" 'calc-argument) (define-key calc-mode-map "J" 'calc-conj) (define-key calc-mode-map "K" 'calc-keep-args) (define-key calc-mode-map "M" 'calc-more-recursion-depth) (define-key calc-mode-map "S" 'calc-sin) (define-key calc-mode-map "T" 'calc-tan) (define-key calc-mode-map "U" 'calc-undo))) (calc-init-extensions) ;;;; Miscellaneous. ;; calc-command-flags is declared in calc.el (defvar calc-command-flags) (defun calc-clear-command-flag (f) (setq calc-command-flags (delq f calc-command-flags))) (defun calc-record-message (tag &rest args) (let ((msg (apply #'format-message args))) (message "%s" msg) (calc-record msg tag)) (calc-clear-command-flag 'clear-message)) (defun calc-normalize-fancy (val) (let ((simp (if (consp calc-simplify-mode) (car calc-simplify-mode) calc-simplify-mode))) (cond ((eq simp 'binary) (let ((s (math-normalize val))) (if (math-realp s) (math-clip (math-round s)) s))) ((eq simp 'alg) (math-simplify val)) ((eq simp 'ext) (math-simplify-extended val)) ((eq simp 'units) (math-simplify-units val)) (t ; nil, none, num (math-normalize val))))) (defvar-keymap calc-help-map "b" 'calc-describe-bindings "c" 'calc-describe-key-briefly "f" 'calc-describe-function "h" 'calc-full-help "i" 'calc-info "k" 'calc-describe-key "n" 'calc-view-news "s" 'calc-info-summary "t" 'calc-tutorial "v" 'calc-describe-variable "C-c" 'calc-describe-copying "C-d" 'calc-describe-distribution "C-n" 'calc-view-news "C-w" 'calc-describe-no-warranty "?" 'calc-help-for-help "C-h" 'calc-help-for-help) (defvar calc-prefix-help-retry nil) (defvar calc-prefix-help-phase 0) (defun calc-do-prefix-help (msgs group key) (if calc-full-help-flag (list msgs group key) (if (cdr msgs) (progn (setq calc-prefix-help-phase (if calc-prefix-help-retry (% (1+ calc-prefix-help-phase) (1+ (length msgs))) 0)) (let ((msg (nth calc-prefix-help-phase msgs))) (message "%s" (if msg (concat group ": " msg ":" (make-string (- (apply #'max (mapcar #'length msgs)) (length msg)) ?\s) " [MORE]" (if key (concat " " (char-to-string key) "-") "")) (if key (format "%c-" key) ""))))) (setq calc-prefix-help-phase 0) (if key (if msgs (message "%s: %s: %c-" group (car msgs) key) (message "%s: (none) %c-" group key)) (message "%s: %s" group (car msgs)))) (let* ((chr (read-char)) (bnd (local-key-binding (if key (string key chr) (string chr))))) (setq calc-prefix-help-retry (= chr ??)) (if bnd (call-interactively bnd) (message "%s is undefined" (key-description (if key (vector key chr) (vector chr)))))))) ;;;; Commands. ;;; General. (defvar calc-embedded-quiet) (defun calc-reset (arg) (interactive "P") (setq arg (if arg (prefix-numeric-value arg) nil)) (cond ((and calc-embedded-info (equal (aref calc-embedded-info 0) (current-buffer)) (<= (point) (aref calc-embedded-info 5)) (>= (point) (aref calc-embedded-info 4))) (let ((cbuf (aref calc-embedded-info 1)) (calc-embedded-quiet t)) (save-window-excursion (calc-embedded nil) (set-buffer cbuf) (calc-reset arg)) (calc-embedded nil))) ((eq major-mode 'calc-mode) (save-excursion (unless (and arg (> (abs arg) 0)) (setq calc-stack nil)) (setq calc-undo-list nil calc-redo-list nil) (let (calc-stack calc-user-parse-tables calc-standard-date-formats calc-invocation-macro) (mapc (lambda (v) (set v nil)) calc-local-var-list) (if (and arg (<= arg 0)) (calc-mode-var-list-restore-default-values) (calc-mode-var-list-restore-saved-values))) (calc-set-language nil nil t) (calc-mode) (calc-flush-caches t) (run-hooks 'calc-reset-hook)) (calc-wrapper (let ((win (get-buffer-window (current-buffer)))) (calc-realign 0) ;; Adjust the window height if the window is visible, but doesn't ;; take up the whole height of the frame. (if (and win (not (window-full-height-p))) (let ((height (- (window-height win) 2))) (set-window-point win (point)) (or (= height calc-window-height) (let ((swin (selected-window))) (select-window win) (enlarge-window (- calc-window-height height)) (select-window swin))))))) (message "(Calculator reset)")) (t (message "(Not inside a Calc buffer)")))) ;; What a pain; scroll-left behaves differently when called non-interactively. (defun calc-scroll-left (n) (interactive "P") (setq prefix-arg (or n (/ (window-width) 2))) (call-interactively #'scroll-left)) (defun calc-scroll-right (n) (interactive "P") (setq prefix-arg (or n (/ (window-width) 2))) (call-interactively #'scroll-right)) (defun calc-scroll-up (n) (interactive "P") (ignore-errors (scroll-up (or n (/ (window-height) 2)))) (if (pos-visible-in-window-p (max 1 (- (point-max) 2))) (if (eq major-mode 'calc-mode) (calc-realign) (goto-char (point-max)) (set-window-start (selected-window) (save-excursion (forward-line (- (1- (window-height)))) (point))) (forward-line -1)))) (defun calc-scroll-down (n) (interactive "P") (or (pos-visible-in-window-p 1) (scroll-down (or n (/ (window-height) 2))))) (defun calc-precision (n) (interactive "NPrecision: ") (calc-wrapper (if (< (prefix-numeric-value n) 3) (error "Precision must be at least 3 digits") (calc-change-mode 'calc-internal-prec (prefix-numeric-value n) (and (memq (car calc-float-format) '(float sci eng)) (< (nth 1 calc-float-format) (if (= calc-number-radix 10) 0 1)))) (calc-record calc-internal-prec "prec")) (message "Floating-point precision is %d digits" calc-internal-prec))) (defun calc-inverse (&optional n) (interactive "P") (let* ((hyp-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-hyperbolic-flag) calc-hyperbolic-flag)) (opt-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-option-flag) calc-option-flag)) (msg (cond ((and opt-flag hyp-flag) "Option Inverse Hyperbolic...") (hyp-flag "Inverse Hyperbolic...") (opt-flag "Option Inverse...") (t "Inverse...")))) (calc-fancy-prefix 'calc-inverse-flag msg n))) (defconst calc-fancy-prefix-map (let ((map (make-sparse-keymap))) (define-key map [t] 'calc-fancy-prefix-other-key) (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key) (define-key map [switch-frame] nil) (define-key map [?\C-u] 'universal-argument) (define-key map [?0] 'digit-argument) (define-key map [?1] 'digit-argument) (define-key map [?2] 'digit-argument) (define-key map [?3] 'digit-argument) (define-key map [?4] 'digit-argument) (define-key map [?5] 'digit-argument) (define-key map [?6] 'digit-argument) (define-key map [?7] 'digit-argument) (define-key map [?8] 'digit-argument) (define-key map [?9] 'digit-argument) map) "Keymap used while processing calc-fancy-prefix.") (defvar calc-is-keypad-press nil) (defun calc-fancy-prefix (flag msg n) (let (prefix) (calc-wrapper (calc-set-command-flag 'keep-flags) (calc-set-command-flag 'no-align) (setq prefix (set flag (not (symbol-value flag))) prefix-arg n) (message "%s" (if prefix msg ""))) (and prefix (not calc-is-keypad-press) (if (boundp 'overriding-terminal-local-map) (setq overriding-terminal-local-map calc-fancy-prefix-map) (let ((event (read-event))) (if (eq (setq last-command-event event) ?\C-u) (universal-argument) (if (or (not (integerp last-command-event)) (and (>= last-command-event 0) (< last-command-event ? ) (not (memq last-command-event '(?\e))))) (calc-wrapper)) ; clear flags if not a Calc command. (setq last-command-event event) (if (or (not (integerp last-command-event)) (eq last-command-event ?-)) (calc-unread-command) (digit-argument n)))))))) (defun calc-fancy-prefix-other-key (arg) (interactive "P") (if (and (not (eq last-command-event 'tab)) (not (eq last-command-event 'M-tab)) (or (not (integerp last-command-event)) (and (>= last-command-event 0) (< last-command-event ? ) (not (eq last-command-event meta-prefix-char))))) (calc-wrapper)) ; clear flags if not a Calc command. (setq prefix-arg arg) (calc-unread-command) (setq overriding-terminal-local-map nil)) (defun calc-invert-func () (save-excursion (calc-select-buffer) (setq calc-inverse-flag (not (calc-is-inverse)) calc-hyperbolic-flag (calc-is-hyperbolic) current-prefix-arg nil))) (defun calc-is-inverse () calc-inverse-flag) (defun calc-hyperbolic (&optional n) (interactive "P") (let* ((inv-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-inverse-flag) calc-inverse-flag)) (opt-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-option-flag) calc-option-flag)) (msg (cond ((and opt-flag inv-flag) "Option Inverse Hyperbolic...") (opt-flag "Option Hyperbolic...") (inv-flag "Inverse Hyperbolic...") (t "Hyperbolic...")))) (calc-fancy-prefix 'calc-hyperbolic-flag msg n))) (defun calc-hyperbolic-func () (save-excursion (calc-select-buffer) (setq calc-inverse-flag (calc-is-inverse) calc-hyperbolic-flag (not (calc-is-hyperbolic)) current-prefix-arg nil))) (defun calc-is-hyperbolic () calc-hyperbolic-flag) (defun calc-option (&optional n) (interactive "P") (let* ((inv-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-inverse-flag) calc-inverse-flag)) (hyp-flag (if (or (eq major-mode 'calc-keypad-mode) (eq major-mode 'calc-trail-mode)) (with-current-buffer calc-main-buffer calc-hyperbolic-flag) calc-hyperbolic-flag)) (msg (cond ((and hyp-flag inv-flag) "Option Inverse Hyperbolic...") (hyp-flag "Option Hyperbolic...") (inv-flag "Option Inverse...") (t "Option...")))) (calc-fancy-prefix 'calc-option-flag msg n))) (defun calc-is-option () calc-option-flag) (defun calc-keep-args (&optional n) (interactive "P") (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n)) (defun calc-change-mode (var value &optional refresh option) (if option (setq value (if value (> (prefix-numeric-value value) 0) (not (symbol-value var))))) (or (consp var) (setq var (list var) value (list value))) (if calc-inverse-flag (let ((old nil)) (or refresh (error "Not a display-mode command")) (calc-check-stack 1) (unwind-protect (let ((v var)) (while v (setq old (cons (symbol-value (car v)) old)) (set (car v) (car value)) (setq v (cdr v) value (cdr value))) (calc-refresh-top 1) (calc-refresh-evaltos) (symbol-value (car var))) (let ((v var)) (setq old (nreverse old)) (while v (set (car v) (car old)) (setq v (cdr v) old (cdr old))) (if (eq (car var) 'calc-language) (calc-set-language calc-language calc-language-option t))))) (let ((chg nil) (v var)) (while v (or (equal (symbol-value (car v)) (car value)) (progn (set (car v) (car value)) (if (eq (car v) 'calc-float-format) (setq calc-full-float-format (list (if (eq (car (car value)) 'fix) 'float (car (car value))) 0))) (setq chg t))) (setq v (cdr v) value (cdr value))) (if chg (progn (or (and refresh (calc-do-refresh)) (calc-refresh-evaltos)) (and (eq calc-mode-save-mode 'save) (not (equal var '(calc-mode-save-mode))) (calc-save-modes)))) (if calc-embedded-info (calc-embedded-modes-change var)) (calc-set-mode-line) (symbol-value (car var))))) (defun calc-toggle-banner () "Toggle display of the friendly greeting calc normally shows above the stack." (interactive) (setq calc-show-banner (not calc-show-banner)) (calc-refresh)) (defun calc-refresh-top (n) (interactive "p") (calc-wrapper (cond ((< n 0) (setq n (- n)) (let ((entry (calc-top n 'entry)) (calc-undo-list nil) (calc-redo-list nil)) (calc-pop-stack 1 n t) (calc-push-list (list (car entry)) n (list (nth 2 entry))))) ((= n 0) (calc-refresh)) (t (let ((entries (calc-top-list n 1 'entry)) (calc-undo-list nil) (calc-redo-list nil)) (calc-pop-stack n 1 t) (calc-push-list (mapcar #'car entries) 1 (mapcar (lambda (x) (nth 2 x)) entries))))))) (defvar calc-refreshing-evaltos nil) (defvar calc-no-refresh-evaltos nil) (defun calc-refresh-evaltos (&optional which-var) (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos) (let ((calc-refreshing-evaltos t) (num (calc-stack-size)) (calc-undo-list nil) (calc-redo-list nil) value new-val) (while (> num 0) (setq value (calc-top num 'entry)) (if (and (not (nth 2 value)) (setq value (car value)) (or (eq (car-safe value) 'calcFunc-evalto) (and (eq (car-safe value) 'vec) (eq (car-safe (nth 1 value)) 'calcFunc-evalto)))) (progn (setq new-val (math-normalize value)) (or (equal new-val value) (progn (calc-push-list (list new-val) num) (calc-pop-stack 1 (1+ num) t))))) (setq num (1- num))))) (and calc-embedded-active which-var (calc-embedded-var-change which-var))) (defun calc-push (&rest vals) (calc-push-list vals)) (defun calc-pop-push (n &rest vals) (calc-pop-push-list n vals)) (defun calc-pop-push-record (n prefix &rest vals) (calc-pop-push-record-list n prefix vals)) (defun calc-evaluate (n) (interactive "p") (calc-slow-wrapper (if (= n 0) (setq n (calc-stack-size))) (calc-with-default-simplification (if (< n 0) (calc-pop-push-record-list 1 "eval" (math-evaluate-expr (calc-top (- n))) (- n)) (calc-pop-push-record-list n "eval" (mapcar #'math-evaluate-expr (calc-top-list n))))) (calc-handle-whys))) (defun calc-eval-num (n) (interactive "P") (calc-slow-wrapper (let* ((nn (prefix-numeric-value n)) (calc-internal-prec (cond ((>= nn 3) nn) ((< nn 0) (max (+ calc-internal-prec nn) 3)) (t calc-internal-prec))) (calc-symbolic-mode nil)) (calc-with-default-simplification (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1))))) (calc-handle-whys))) (defvar calc-extended-command-history nil "The history list for calc-execute-extended-command.") (defun calc-execute-extended-command (n) (interactive "P") (let* ((prompt (concat (calc-num-prefix-name n) "M-x ")) (cmd (intern (completing-read prompt obarray 'commandp t "calc-" 'calc-extended-command-history)))) (setq prefix-arg n) (command-execute cmd))) (defun calc-realign (&optional num) (interactive "P") (if (and num (eq major-mode 'calc-mode)) (progn (calc-check-stack num) (calc-cursor-stack-index num) (and calc-line-numbering (forward-char 4))) (if (and calc-embedded-info (eq (current-buffer) (aref calc-embedded-info 0))) (progn (goto-char (aref calc-embedded-info 2)) (if (with-current-buffer (aref calc-embedded-info 1) calc-show-plain) (forward-line 1))) (calc-wrapper (if (get-buffer-window (current-buffer)) (set-window-hscroll (get-buffer-window (current-buffer)) 0)))))) (defvar math-cache-list nil) (defun calc-var-value (v) (and (symbolp v) (boundp v) (symbol-value v) (if (symbolp (symbol-value v)) (set v (funcall (symbol-value v))) (if (stringp (symbol-value v)) (let ((val (math-read-expr (symbol-value v)))) (if (eq (car-safe val) 'error) (error "Bad format in variable contents: %s" (nth 2 val)) (set v val))) (symbol-value v))))) ;;; In the following table, ( OP LOPS ROPS ) means that if an OP ;;; term appears as the first argument to any LOPS term, or as the ;;; second argument to any ROPS term, then they should be treated ;;; as one large term for purposes of associative selection. (defconst calc-assoc-ops '( ( + ( + - ) ( + ) ) ( - ( + - ) ( + ) ) ( * ( * ) ( * ) ) ( / ( / ) ( ) ) ( | ( | ) ( | ) ) ( calcFunc-land ( calcFunc-land ) ( calcFunc-land ) ) ( calcFunc-lor ( calcFunc-lor ) ( calcFunc-lor ) ) )) (defvar var-CommuteRules 'calc-CommuteRules) (defvar var-JumpRules 'calc-JumpRules) (defvar var-DistribRules 'calc-DistribRules) (defvar var-MergeRules 'calc-MergeRules) (defvar var-NegateRules 'calc-NegateRules) (defvar var-InvertRules 'calc-InvertRules) (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq ) ( calcFunc-neq calcFunc-neq calcFunc-eq ) ( calcFunc-lt calcFunc-gt calcFunc-geq ) ( calcFunc-gt calcFunc-lt calcFunc-leq ) ( calcFunc-leq calcFunc-geq calcFunc-gt ) ( calcFunc-geq calcFunc-leq calcFunc-lt ) )) (defun calc-float (arg) (interactive "P") (calc-slow-wrapper (calc-unary-op "flt" (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat) arg))) (defvar calc-gnuplot-process nil) (defvar calc-gnuplot-input) (defvar calc-gnuplot-buffer) (defun calc-gnuplot-alive () (and calc-gnuplot-process calc-gnuplot-buffer (buffer-name calc-gnuplot-buffer) calc-gnuplot-input (buffer-name calc-gnuplot-input) (memq (process-status calc-gnuplot-process) '(run stop)))) (defun calc-load-everything () (interactive) (require 'calc-aent) (require 'calc-alg) (require 'calc-arith) (require 'calc-bin) (require 'calc-comb) (require 'calc-cplx) (require 'calc-embed) (require 'calc-fin) (require 'calc-forms) (require 'calc-frac) (require 'calc-funcs) (require 'calc-graph) (require 'calc-help) (require 'calc-incom) (require 'calc-keypd) (require 'calc-lang) (require 'calc-macs) (require 'calc-map) (require 'calc-math) (require 'calc-misc) (require 'calc-mode) (require 'calc-mtx) (require 'calc-poly) (require 'calc-prog) (require 'calc-rewr) (require 'calc-rules) (require 'calc-sel) (require 'calc-stat) (require 'calc-store) (require 'calc-stuff) (require 'calc-trail) (require 'calc-undo) (require 'calc-units) (require 'calc-vec) (require 'calc-yank) (require 'calcalg2) (require 'calcalg3) (require 'calccomp) (require 'calcsel2) (message "All parts of Calc are now loaded")) ;;; Vector commands. (defun calc-concat (arg) (interactive "P") (calc-wrapper (if (calc-is-inverse) (if (calc-is-hyperbolic) (calc-enter-result 2 "apnd" (list 'calcFunc-append (calc-top 1) (calc-top 2))) (calc-enter-result 2 "|" (list 'calcFunc-vconcat (calc-top 1) (calc-top 2)))) (if (calc-is-hyperbolic) (calc-binary-op "apnd" 'calcFunc-append arg '(vec)) (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|))))) (defun calc-append (arg) (interactive "P") (calc-hyperbolic-func) (calc-concat arg)) (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB ) ( var ArgC var-ArgC ) ( var ArgD var-ArgD ) ( var ArgE var-ArgE ) ( var ArgF var-ArgF ) ( var ArgG var-ArgG ) ( var ArgH var-ArgH ) ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ ) )) (defun calc-invent-args (n) (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values)))) ;;; User menu. (defun calc-user-key-map () (let ((res (cdr (lookup-key calc-mode-map "z")))) (if (eq (car (car res)) 27) (cdr res) res))) (defvar calc-z-prefix-buf nil) (defvar calc-z-prefix-msgs nil) (defun calc-z-prefix-help () (interactive) (let* ((calc-z-prefix-msgs nil) (calc-z-prefix-buf "") (kmap (sort (copy-sequence (calc-user-key-map)) (lambda (x y) (< (car x) (car y))))) (flags (apply #'logior (mapcar (lambda (k) (calc-user-function-classify (car k))) kmap)))) (if (= (logand flags 8) 0) (calc-user-function-list kmap 7) (calc-user-function-list kmap 1) (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs) calc-z-prefix-buf "") (calc-user-function-list kmap 6)) (if (/= flags 0) (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs))) (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z))) (defun calc-user-function-classify (key) (cond ((/= key (downcase key)) ; upper-case (if (assq (downcase key) (calc-user-key-map)) 9 1)) ((/= key (upcase key)) 2) ; lower-case ((= key ??) 0) (t 4))) ; other (defun calc-user-function-list (map flags) (and map (let* ((key (car (car map))) (kind (calc-user-function-classify key)) (func (cdr (car map)))) (if (or (= (logand kind flags) 0) (not (symbolp func))) () (let* ((name (symbol-name func)) (name (if (string-match "\\`calc-" name) (substring name 5) name)) (pos (string-match (char-to-string key) name)) (desc (if (symbolp func) (if (= (logand kind 3) 0) (format-message "`%c' = %s" key name) (if pos (format "%s%c%s" (downcase (substring name 0 pos)) (upcase key) (downcase (substring name (1+ pos)))) (format "%c = %s" (upcase key) (downcase name)))) (char-to-string (upcase key))))) (if (= (length calc-z-prefix-buf) 0) (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "") desc)) (if (> (+ (length calc-z-prefix-buf) (length desc)) 58) (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs) calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "") desc)) (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc)))))) (calc-user-function-list (cdr map) flags)))) (defun calc-shift-Z-prefix-help () (interactive) (calc-do-prefix-help '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn" "Composition, Syntax; Invocation; Permanent; Timing" "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)" "kbd-macros: < > (repeat), ( ) (for), { } (loop)" "kbd-macros: / (break)" "kbd-macros: \\=` (save), \\=' (restore)") "user" ?Z)) ;;;; Caches. (defmacro math-defcache (name init form) (declare (indent 2) (debug (symbolp sexp form))) (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec"))) (cache-val (intern (concat (symbol-name name) "-cache"))) (last-prec (intern (concat (symbol-name name) "-last-prec"))) (last-val (intern (concat (symbol-name name) "-last")))) `(progn ;; (defvar ,cache-prec ,(if init (math-numdigs (nth 1 init)) -100)) (defvar ,cache-prec (cond ((consp ,init) (math-numdigs (nth 1 ,init))) (,init (nth 1 (math-numdigs (eval ,init t)))) (t -100))) (defvar ,cache-val (cond ((consp ,init) ,init) (,init (eval ,init t)) (t ,init))) (defvar ,last-prec -100) (defvar ,last-val nil) (setq math-cache-list (cons ',cache-prec (cons ',last-prec math-cache-list))) (defun ,name () (or (= ,last-prec calc-internal-prec) (setq ,last-val (math-normalize (progn (or (>= ,cache-prec calc-internal-prec) (setq ,cache-val (let ((calc-internal-prec (+ calc-internal-prec 4))) ,form) ,cache-prec (+ calc-internal-prec 2))) ,cache-val)) ,last-prec calc-internal-prec)) ,last-val)))) ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public] (defconst math-approx-pi (math-read-number-simple "3.141592653589793238463") "An approximation for pi.") (math-defcache math-pi math-approx-pi (math-add-float (math-mul-float '(float 16 0) (math-arctan-raw '(float 2 -1))) (math-mul-float '(float -4 0) (math-arctan-raw (math-float '(frac 1 239)))))) (math-defcache math-two-pi nil (math-mul-float (math-pi) '(float 2 0))) (math-defcache math-pi-over-2 nil (math-mul-float (math-pi) '(float 5 -1))) (math-defcache math-pi-over-4 nil (math-mul-float (math-pi) '(float 25 -2))) (math-defcache math-pi-over-180 nil (math-div-float (math-pi) '(float 18 1))) (math-defcache math-sqrt-pi nil (math-sqrt-float (math-pi))) (math-defcache math-sqrt-2 nil (math-sqrt-float '(float 2 0))) (math-defcache math-sqrt-12 nil (math-sqrt-float '(float 12 0))) (math-defcache math-sqrt-two-pi nil (math-sqrt-float (math-two-pi))) (defconst math-approx-sqrt-e (math-read-number-simple "1.648721270700128146849") "An approximation for sqrt(3).") (math-defcache math-sqrt-e math-approx-sqrt-e (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1)))) (math-defcache math-e nil (math-pow (math-sqrt-e) 2)) (math-defcache math-phi nil (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0)) '(float 5 -1))) (defconst math-approx-gamma-const (math-read-number-simple "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495") "An approximation for gamma.") (math-defcache math-gamma-const nil math-approx-gamma-const) (defun math-half-circle (symb) (if (eq calc-angle-mode 'rad) (if symb '(var pi var-pi) (math-pi)) 180)) (defun math-full-circle (symb) (math-mul 2 (math-half-circle symb))) (defun math-quarter-circle (symb) (math-div (math-half-circle symb) 2)) (defvar math-expand-formulas nil) ;;;; Miscellaneous math routines. ;;; True if A is an odd integer. [P R R] [Public] (defun math-oddp (a) (and (integerp a) (cl-oddp a))) ;;; True if A is an integer. [P x] [Public] (defalias 'math-integerp #'integerp) ;;; True if A is (numerically) a non-negative integer. [P N] [Public] (defalias 'math-natnump #'natnump) ;;; True if A is a rational (or integer). [P x] [Public] (defalias 'math-ratp #'Math-ratp) ;;; True if A is a real (or rational). [P x] [Public] (defalias 'math-realp #'Math-realp) ;;; True if A is a real or HMS form. [P x] [Public] (defalias 'math-anglep #'Math-anglep) ;;; True if A is a number of any kind. [P x] [Public] (defalias 'math-numberp #'Math-numberp) ;;; True if A is a complex number or angle. [P x] [Public] (defalias 'math-scalarp #'Math-scalarp) ;;; True if A is a vector. [P x] [Public] (defalias 'math-vectorp #'Math-vectorp) ;;; True if A is any vector or scalar data object. [P x] (defun math-objvecp (a) ; [Public] (or (integerp a) (memq (car-safe a) '(frac float cplx polar hms date sdev intv mod vec ;; FIXME: Math-objvecp does not include this one! incomplete)))) ;;; True if A is an object not composed of sub-formulas . [P x] [Public] (defun math-primp (a) (or (integerp a) (memq (car-safe a) '(frac float cplx polar hms date mod var)))) ;;; True if A is numerically (but not literally) an integer. [P x] [Public] (defun math-messy-integerp (a) (cond ((eq (car-safe a) 'float) (>= (nth 2 a) 0)) ;; FIXME: Math-messy-integerp does not include this case! ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a))))) ;;; True if A is numerically an integer. [P x] [Public] (defun math-num-integerp (a) (or (integerp a) (Math-messy-integerp a))) ;;; True if A is (numerically) a non-negative integer. [P N] [Public] (defun math-num-natnump (a) (or (natnump a) (and (eq (car-safe a) 'float) (Math-natnump (nth 1 a)) (>= (nth 2 a) 0)))) ;;; True if A is an integer or will evaluate to an integer. [P x] [Public] (defun math-provably-integerp (a) (or (Math-integerp a) (and (memq (car-safe a) '(calcFunc-trunc calcFunc-round calcFunc-rounde calcFunc-roundu calcFunc-floor calcFunc-ceil)) (= (length a) 2)))) ;;; True if A is a real or will evaluate to a real. [P x] [Public] (defun math-provably-realp (a) (or (Math-realp a) (math-provably-integerp a) (memq (car-safe a) '(abs arg)))) ;;; True if A is a non-real, complex number. [P x] [Public] (defun math-complexp (a) (memq (car-safe a) '(cplx polar))) ;;; True if A is a non-real, rectangular complex number. [P x] [Public] (defun math-rect-complexp (a) (eq (car-safe a) 'cplx)) ;;; True if A is a non-real, polar complex number. [P x] [Public] (defun math-polar-complexp (a) (eq (car-safe a) 'polar)) ;;; True if A is a matrix. [P x] [Public] (defun math-matrixp (a) (and (Math-vectorp a) (Math-vectorp (nth 1 a)) (cdr (nth 1 a)) (let ((len (length (nth 1 a)))) (setq a (cdr a)) (while (and (setq a (cdr a)) (Math-vectorp (car a)) (= (length (car a)) len))) (null a)))) (defun math-matrixp-step (a len) ; [P L] (or (null a) (and (Math-vectorp (car a)) (= (length (car a)) len) (math-matrixp-step (cdr a) len)))) ;;; True if A is a square matrix. [P V] [Public] (defun math-square-matrixp (a) (let ((dims (math-mat-dimens a))) (and (cdr dims) (= (car dims) (nth 1 dims))))) ;;; True if MAT is an identity matrix. (defun math-identity-matrix-p (mat &optional mul) (if (math-square-matrixp mat) (let ((a (if mul (nth 1 (nth 1 mat)) 1)) (n (1- (length mat))) (i 1)) (while (and (<= i n) (math-ident-row-p (nth i mat) i a)) (setq i (1+ i))) (if (> i n) a nil)))) (defun math-ident-row-p (row n &optional a) (unless a (setq a 1)) (and (not (memq nil (mapcar (lambda (x) (eq x 0)) (nthcdr (1+ n) row)))) (not (memq nil (mapcar (lambda (x) (eq x 0)) (butlast (cdr row) (- (length row) n))))) (eq (elt row n) a))) ;;; True if A is any scalar data object. [P x] (defun math-objectp (a) ; [Public] (or (integerp a) (memq (car-safe a) '(frac float cplx polar hms date sdev intv mod)))) ;;; Verify that A is an integer and return A in integer form. [I N; - x] (defun math-check-integer (a) ; [Public] (cond ((integerp a) a) ((math-messy-integerp a) (math-trunc a)) (t (math-reject-arg a 'integerp)))) ;;; Verify that A is a small integer and return A in integer form. [S N; - x] (defun math-check-fixnum (a &optional allow-inf) ; [Public] (cond ((fixnump a) a) ; for speed ((Math-num-integerp a) (let ((a (math-trunc a))) (if (fixnump a) a (math-reject-arg a 'fixnump)))) ((and allow-inf (equal a '(var inf var-inf))) most-positive-fixnum) ((and allow-inf (equal a '(neg (var inf var-inf)))) (- most-positive-fixnum)) (t (math-reject-arg a 'fixnump)))) ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x] (defun math-check-natnum (a) ; [Public] (cond ((natnump a) a) ((and (not (math-negp a)) (Math-num-integerp a)) (math-trunc a)) (t (math-reject-arg a 'natnump)))) ;;; Verify that A is in floating-point form, or force it to be a float. [F N] (defun math-check-float (a) ; [Public] (cond ((eq (car-safe a) 'float) a) ((Math-vectorp a) (math-map-vec 'math-check-float a)) ((Math-objectp a) (math-float a)) (t a))) ;;; Verify that A is a constant. (defun math-check-const (a &optional exp-ok) (if (or (math-constp a) (and exp-ok math-expand-formulas)) a (math-reject-arg a 'constp))) ;;; Some functions for working with error forms. (defun math-get-value (x) "Get the mean value of the error form X. If X is not an error form, return X." (if (eq (car-safe x) 'sdev) (nth 1 x) x)) (defun math-get-sdev (x &optional one) "Get the standard deviation of the error form X. If X is not an error form, return 1." (if (eq (car-safe x) 'sdev) (nth 2 x) (if one 1 0))) (defun math-contains-sdev-p (ls) "Non-nil if the list LS contains an error form." (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls))) (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls)))) ;;; Coerce integer A to be a small integer. [S I] (defvar math-simplify-only nil) (defun math-normalize-fancy (a) (cond ((eq (car a) 'frac) (math-make-frac (math-normalize (nth 1 a)) (math-normalize (nth 2 a)))) ((eq (car a) 'cplx) (let ((real (math-normalize (nth 1 a))) (imag (math-normalize (nth 2 a)))) (if (and (math-zerop imag) (not math-simplify-only)) ; oh, what a kludge! real (list 'cplx real imag)))) ((eq (car a) 'polar) (math-normalize-polar a)) ((eq (car a) 'hms) (math-normalize-hms a)) ((eq (car a) 'date) (list 'date (math-normalize (nth 1 a)))) ((eq (car a) 'mod) (math-normalize-mod a)) ((eq (car a) 'sdev) (let ((x (math-normalize (nth 1 a))) (s (math-normalize (nth 2 a)))) (if (or (and (Math-objectp x) (not (Math-scalarp x))) (and (Math-objectp s) (not (Math-scalarp s)))) (list 'calcFunc-sdev x s) (math-make-sdev x s)))) ((eq (car a) 'intv) (let ((mask (math-normalize (nth 1 a))) (lo (math-normalize (nth 2 a))) (hi (math-normalize (nth 3 a)))) (if (if (eq (car-safe lo) 'date) (not (eq (car-safe hi) 'date)) (or (and (Math-objectp lo) (not (Math-anglep lo))) (and (Math-objectp hi) (not (Math-anglep hi))))) (list 'calcFunc-intv mask lo hi) (math-make-intv mask lo hi)))) ((eq (car a) 'vec) (cons 'vec (mapcar #'math-normalize (cdr a)))) ((eq (car a) 'quote) (math-normalize (nth 1 a))) ((eq (car a) 'special-const) (calc-with-default-simplification (math-normalize (nth 1 a)))) ((eq (car a) 'var) (cons 'var (cdr a))) ; need to re-cons for selection routines ((eq (car a) 'calcFunc-if) (math-normalize-logical-op a)) ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition)) (let ((calc-simplify-mode 'none)) (cons (car a) (mapcar #'math-normalize (cdr a))))) ((eq (car a) 'calcFunc-evalto) (setq a (or (nth 1 a) 0)) (or calc-refreshing-evaltos (setq a (let ((calc-simplify-mode 'none)) (math-normalize a)))) (let ((b (if (and (eq (car-safe a) 'calcFunc-assign) (= (length a) 3)) (nth 2 a) a))) (list 'calcFunc-evalto a (if (eq calc-simplify-mode 'none) (math-normalize b) (calc-with-default-simplification (math-evaluate-expr b)))))) ((or (integerp (car a)) (consp (car a))) (if (null (cdr a)) (math-normalize (car a)) (error "Can't use multi-valued function in an expression"))))) ;; The variable math-normalize-a is local to math-normalize in calc.el, ;; but is used by math-normalize-nonstandard, which is called by ;; math-normalize. (defun math-normalize-nonstandard (a) (if (consp calc-simplify-mode) (progn (setq calc-simplify-mode 'none math-simplify-only (car-safe (cdr-safe a))) nil) (and (symbolp (car a)) (or (eq calc-simplify-mode 'none) (and (eq calc-simplify-mode 'num) (let ((aptr (setq a (cons (car a) (mapcar #'math-normalize (cdr a)))))) (while (and aptr (math-constp (car aptr))) (setq aptr (cdr aptr))) aptr))) (cons (car a) (mapcar #'math-normalize (cdr a)))))) ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public] (defun calcFunc-sign (a &optional x) (let ((signs (math-possible-signs a))) (cond ((eq signs 4) (or x 1)) ((eq signs 2) 0) ((eq signs 1) (if x (math-neg x) -1)) ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a)))) (t (calc-record-why 'realp a) (if x (list 'calcFunc-sign a x) (list 'calcFunc-sign a)))))) ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more. ;;; Arguments must be normalized! [S N N] (defun math-compare (a b) (cond ((equal a b) (if (and (consp a) (memq (car a) '(var neg * /)) (math-infinitep a)) 2 0)) ((and (integerp a) (Math-integerp b)) (if (< a b) -1 1)) ((eq (car-safe a) 'frac) (if (eq (car-safe b) 'frac) (math-compare (math-mul (nth 1 a) (nth 2 b)) (math-mul (nth 1 b) (nth 2 a))) (math-compare (nth 1 a) (math-mul b (nth 2 a))))) ((eq (car-safe b) 'frac) (math-compare (math-mul a (nth 2 b)) (nth 1 b))) ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float)) (if (math-lessp-float a b) -1 1)) ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date)) (math-compare (nth 1 a) (nth 1 b))) ((and (or (Math-anglep a) (and (eq (car a) 'cplx) (eq (nth 2 a) 0))) (or (Math-anglep b) (and (eq (car b) 'cplx) (eq (nth 2 b) 0)))) (calcFunc-sign (math-add a (math-neg b)))) ((and (eq (car-safe a) 'intv) (or (Math-anglep b) (eq (car-safe b) 'date))) (let ((res (math-compare (nth 2 a) b))) (cond ((eq res 1) 1) ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1) ((eq (setq res (math-compare (nth 3 a) b)) -1) -1) ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1) (t 2)))) ((and (eq (car-safe b) 'intv) (or (Math-anglep a) (eq (car-safe a) 'date))) (let ((res (math-compare a (nth 2 b)))) (cond ((eq res -1) -1) ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1) ((eq (setq res (math-compare a (nth 3 b))) 1) 1) ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1) (t 2)))) ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv)) (let ((res (math-compare (nth 3 a) (nth 2 b)))) (cond ((eq res -1) -1) ((and (eq res 0) (or (memq (nth 1 a) '(0 2)) (memq (nth 1 b) '(0 1)))) -1) ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1) ((and (eq res 0) (or (memq (nth 1 a) '(0 1)) (memq (nth 1 b) '(0 2)))) 1) (t 2)))) ((math-infinitep a) (if (or (equal a '(var uinf var-uinf)) (equal a '(var nan var-nan))) 2 (let ((dira (math-infinite-dir a))) (if (math-infinitep b) (if (or (equal b '(var uinf var-uinf)) (equal b '(var nan var-nan))) 2 (let ((dirb (math-infinite-dir b))) (cond ((and (eq dira 1) (eq dirb -1)) 1) ((and (eq dira -1) (eq dirb 1)) -1) (t 2)))) (cond ((eq dira 1) 1) ((eq dira -1) -1) (t 2)))))) ((math-infinitep b) (if (or (equal b '(var uinf var-uinf)) (equal b '(var nan var-nan))) 2 (let ((dirb (math-infinite-dir b))) (cond ((eq dirb 1) -1) ((eq dirb -1) 1) (t 2))))) ((and (eq (car-safe a) 'calcFunc-exp) (eq (car-safe b) '^) (equal (nth 1 b) '(var e var-e))) (math-compare (nth 1 a) (nth 2 b))) ((and (eq (car-safe b) 'calcFunc-exp) (eq (car-safe a) '^) (equal (nth 1 a) '(var e var-e))) (math-compare (nth 2 a) (nth 1 b))) ((or (and (eq (car-safe a) 'calcFunc-sqrt) (eq (car-safe b) '^) (or (equal (nth 2 b) '(frac 1 2)) (equal (nth 2 b) '(float 5 -1)))) (and (eq (car-safe b) 'calcFunc-sqrt) (eq (car-safe a) '^) (or (equal (nth 2 a) '(frac 1 2)) (equal (nth 2 a) '(float 5 -1))))) (math-compare (nth 1 a) (nth 1 b))) ((eq (car-safe a) 'var) 2) (t (if (and (consp a) (consp b) (eq (car a) (car b)) (math-compare-lists (cdr a) (cdr b))) 0 2)))) (defun math-compare-lists (a b) (cond ((null a) (null b)) ((null b) nil) (t (and (Math-equal (car a) (car b)) (math-compare-lists (cdr a) (cdr b)))))) (defun math-lessp-float (a b) ; [P F F] (let ((ediff (- (nth 2 a) (nth 2 b)))) (if (>= ediff 0) (if (>= ediff (+ calc-internal-prec calc-internal-prec)) (if (eq (nth 1 a) 0) (Math-integer-posp (nth 1 b)) (Math-integer-negp (nth 1 a))) (Math-lessp (math-scale-int (nth 1 a) ediff) (nth 1 b))) (if (>= (setq ediff (- ediff)) (+ calc-internal-prec calc-internal-prec)) (if (eq (nth 1 b) 0) (Math-integer-negp (nth 1 a)) (Math-integer-posp (nth 1 b))) (Math-lessp (nth 1 a) (math-scale-int (nth 1 b) ediff)))))) ;;; True if A is numerically equal to B. [P N N] [Public] (defun math-equal (a b) (= (math-compare a b) 0)) ;;; True if A is numerically less than B. [P R R] [Public] (defun math-lessp (a b) (= (math-compare a b) -1)) ;;; True if A is numerically equal to the integer B. [P N S] [Public] ;;; B must not be a multiple of 10. (defun math-equal-int (a b) (or (eql a b) (and (eq (car-safe a) 'float) (eql (nth 1 a) b) (= (nth 2 a) 0)))) ;;; Return the dimensions of a matrix as a list. [l x] [Public] (defun math-mat-dimens (m) (if (math-vectorp m) (if (math-matrixp m) (cons (1- (length m)) (math-mat-dimens (nth 1 m))) (list (1- (length m)))) nil)) (defun calc-binary-op-fancy (name func arg ident unary) (let ((n (prefix-numeric-value arg))) (cond ((> n 1) (calc-enter-result n name (list 'calcFunc-reduce (math-calcFunc-to-var func) (cons 'vec (calc-top-list-n n))))) ((= n 1) (if unary (calc-enter-result 1 name (list unary (calc-top-n 1))))) ((= n 0) (if ident (calc-enter-result 0 name ident) (error "Argument must be nonzero"))) (t (let ((rhs (calc-top-n 1))) (calc-enter-result (- 1 n) name (mapcar (lambda (x) (list func x rhs)) (calc-top-list-n (- n) 2)))))))) (defun calc-unary-op-fancy (name func arg) (let ((n (prefix-numeric-value arg))) (if (= n 0) (setq n (calc-stack-size))) (cond ((> n 0) (calc-enter-result n name (mapcar (lambda (x) (list func x)) (calc-top-list-n n)))) ((< n 0) (calc-enter-result 1 name (list func (calc-top-n (- n))) (- n)))))) (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun))) (defvar var-Decls (list 'vec)) (defun math-inexact-result () (and calc-symbolic-mode (signal 'inexact-result nil))) (defun math-overflow (&optional exp) (if (and exp (math-negp exp)) (math-underflow) (signal 'math-overflow nil))) (defun math-underflow () (signal 'math-underflow nil)) ;;; Compute the greatest common divisor of A and B. [I I I] [Public] (defun math-gcd (a b) (cond ((not (or (consp a) (consp b))) (if (< a 0) (setq a (- a))) (if (< b 0) (setq b (- b))) (let (c) (if (< a b) (setq c b b a a c)) (while (> b 0) (setq c b b (% a b) a c)) a)) ((eq a 0) b) ((eq b 0) a) (t (if (Math-integer-negp a) (setq a (math-neg a))) (if (Math-integer-negp b) (setq b (math-neg b))) (let (c) (if (< a b) (setq c b b a a c)) (while (and (consp a) (not (eq b 0))) (setq c b b (math-imod a b) a c)) (while (> b 0) (setq c b b (% a b) a c)) a)))) ;;;; Algebra. ;;; Evaluate variables in an expression. (defun math-evaluate-expr (x) ; [Public] (if calc-embedded-info (calc-embedded-evaluate-expr x) (calc-normalize (math-evaluate-expr-rec x)))) (defalias 'calcFunc-evalv 'math-evaluate-expr) (defun calcFunc-evalvn (x &optional prec) (if prec (progn (or (math-num-integerp prec) (if (and (math-vectorp prec) (= (length prec) 2) (math-num-integerp (nth 1 prec))) (setq prec (math-add (nth 1 prec) calc-internal-prec)) (math-reject-arg prec 'integerp))) (setq prec (math-trunc prec)) (if (< prec 3) (setq prec 3)) (if (> prec calc-internal-prec) (math-normalize (let ((calc-internal-prec prec)) (calcFunc-evalvn x))) (let ((calc-internal-prec prec)) (calcFunc-evalvn x)))) (let ((calc-symbolic-mode nil)) (math-evaluate-expr x)))) (defun math-evaluate-expr-rec (x) (if (consp x) (if (memq (car x) '(calcFunc-quote calcFunc-condition calcFunc-evalto calcFunc-assign)) (if (and (eq (car x) 'calcFunc-assign) (= (length x) 3)) (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x))) x) (if (eq (car x) 'var) (if (and (calc-var-value (nth 2 x)) (not (eq (car-safe (symbol-value (nth 2 x))) 'incomplete))) (let ((val (symbol-value (nth 2 x)))) (if (eq (car-safe val) 'special-const) (if calc-symbolic-mode x val) val)) x) (if (Math-primp x) x (cons (car x) (mapcar #'math-evaluate-expr-rec (cdr x)))))) x)) (defun math-any-floats (expr) (if (Math-primp expr) (math-floatp expr) (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr))))) expr)) (defvar var-FactorRules 'calc-FactorRules) (defvar math-mt-many nil) (defvar math-mt-func nil) (defun math-map-tree (func mmt-expr &optional many) (let ((math-mt-func func) (math-mt-many (or many 1000000))) (math-map-tree-rec mmt-expr))) (defun math-map-tree-rec (mmt-expr) (or (= math-mt-many 0) (let ((mmt-done nil) mmt-nextval) (while (not mmt-done) (while (and (/= math-mt-many 0) (setq mmt-nextval (funcall math-mt-func mmt-expr)) (not (equal mmt-expr mmt-nextval))) (setq mmt-expr mmt-nextval math-mt-many (if (> math-mt-many 0) (1- math-mt-many) (1+ math-mt-many)))) (if (or (Math-primp mmt-expr) (<= math-mt-many 0)) (setq mmt-done t) (setq mmt-nextval (cons (car mmt-expr) (mapcar #'math-map-tree-rec (cdr mmt-expr)))) (if (equal mmt-nextval mmt-expr) (setq mmt-done t) (setq mmt-expr mmt-nextval)))))) mmt-expr) (defun math-is-true (expr) (if (Math-numberp expr) (not (Math-zerop expr)) (math-known-nonzerop expr))) (defun math-const-var (expr) (and (consp expr) (eq (car expr) 'var) (or (and (symbolp (nth 2 expr)) (boundp (nth 2 expr)) (eq (car-safe (symbol-value (nth 2 expr))) 'special-const)) (memq (nth 2 expr) '(var-inf var-uinf var-nan))))) ;; The variable math-integral-cache is originally declared in calcalg2.el, ;; but is set by math-defintegral and math-defintegral-2. (defvar math-integral-cache) (defmacro math-defintegral (funcs &rest code) (declare (indent 1) (debug (sexp body))) (setq math-integral-cache nil) (cons 'progn (mapcar (lambda (func) `(put ',func 'math-integral (nconc (get ',func 'math-integral) (list (lambda (u) ,@code))))) (if (symbolp funcs) (list funcs) funcs)))) (defmacro math-defintegral-2 (funcs &rest code) (declare (indent 1) (debug (sexp body))) (setq math-integral-cache nil) (cons 'progn (mapcar (lambda (func) `(put ',func 'math-integral-2 (nconc (get ',func 'math-integral-2) (list (lambda (u v) ,@code))))) (if (symbolp funcs) (list funcs) funcs)))) (defvar var-IntegAfterRules 'calc-IntegAfterRules) (defvar var-FitRules 'calc-FitRules) (defvar math-poly-base-variable nil) (defvar math-poly-neg-powers nil) (defvar math-poly-mult-powers 1) (defvar math-poly-frac-powers nil) (defvar math-poly-exp-base nil) (defun math-build-var-name (name) (if (stringp name) (setq name (intern name))) (if (string-match "\\`var-." (symbol-name name)) (list 'var (intern (substring (symbol-name name) 4)) name) (list 'var name (intern (concat "var-" (symbol-name name)))))) (defvar math-simplifying-units nil) (defvar math-combining-units t) ;;; Nontrivial number parsing. (defun math-read-number-fancy (s) (cond ;; Integer+fractions ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s) (let ((int (math-match-substring s 1)) (num (math-match-substring s 2)) (den (math-match-substring s 3))) (let ((int (if (> (length int) 0) (math-read-number int) 0)) (num (if (> (length num) 0) (math-read-number num) 1)) (den (if (> (length num) 0) (math-read-number den) 1))) (and int num den (math-integerp int) (math-integerp num) (math-integerp den) (not (math-zerop den)) (list 'frac (math-add num (math-mul int den)) den))))) ;; Fractions ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s) (let ((num (math-match-substring s 1)) (den (math-match-substring s 2))) (let ((num (if (> (length num) 0) (math-read-number num) 1)) (den (if (> (length num) 0) (math-read-number den) 1))) (and num den (math-integerp num) (math-integerp den) (not (math-zerop den)) (list 'frac num den))))) ;; Modulo forms ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s) (let* ((n (math-match-substring s 1)) (m (math-match-substring s 2)) (n (math-read-number n)) (m (math-read-number m))) (and n m (math-anglep n) (math-anglep m) (list 'mod n m)))) ;; Error forms ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s) (let* ((x (math-match-substring s 1)) (sigma (math-match-substring s 2)) (x (math-read-number x)) (sigma (math-read-number sigma))) (and x sigma (math-scalarp x) (math-anglep sigma) (list 'sdev x sigma)))) ;; Integer+fraction with explicit radix ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s) (let ((radix (string-to-number (math-match-substring s 1))) (int (math-match-substring s 3)) (num (math-match-substring s 4)) (den (math-match-substring s 5))) (let ((int (if (> (length int) 0) (math-read-radix int radix) 0)) (num (if (> (length num) 0) (math-read-radix num radix) 1)) (den (if (> (length den) 0) (math-read-radix den radix) 1))) (and int num den (not (math-zerop den)) (list 'frac (math-add num (math-mul int den)) den))))) ;; Fraction with explicit radix ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s) (let ((radix (string-to-number (math-match-substring s 1))) (num (math-match-substring s 3)) (den (math-match-substring s 4))) (let ((num (if (> (length num) 0) (math-read-radix num radix) 1)) (den (if (> (length den) 0) (math-read-radix den radix) 1))) (and num den (not (math-zerop den)) (list 'frac num den))))) ;; Float with explicit radix and exponent ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s) (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s)) (let ((radix (string-to-number (math-match-substring s 2))) (mant (math-match-substring s 1)) (exp (math-match-substring s 4))) (let ((mant (math-read-number mant)) (exp (math-read-number exp))) (and mant exp (math-mul mant (math-pow (math-float radix) exp)))))) ;; Float with explicit radix, no exponent ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s) (let ((radix (string-to-number (math-match-substring s 1))) (int (math-match-substring s 3)) (fracs (math-match-substring s 4))) (let ((int (if (> (length int) 0) (math-read-radix int radix) 0)) (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0)) (calc-prefer-frac nil)) (and int frac (math-add int (math-div frac (math-pow radix (length fracs)))))))) ;; Integer with explicit radix ((string-match "^\\([0-9]+\\)\\(#&?\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s) (math-read-radix (math-match-substring s 3) (string-to-number (math-match-substring s 1)))) ;; Two's complement with explicit radix ((string-match "^\\([0-9]+\\)\\(##\\)\\([0-9a-zA-Z]+\\)$" s) (let ((num (math-read-radix (math-match-substring s 3) (string-to-number (math-match-substring s 1))))) (if (and (Math-lessp num math-2-word-size) (<= (math-compare math-half-2-word-size num) 0)) (math-sub num math-2-word-size) num))) ;; C language hexadecimal notation ((and (eq calc-language 'c) (string-match "^0[xX]\\([[:xdigit:]]+\\)$" s)) (let ((digs (math-match-substring s 1))) (math-read-radix digs 16))) ;; Pascal language hexadecimal notation ((and (eq calc-language 'pascal) (string-match "^\\$\\([[:xdigit:]]+\\)$" s)) (let ((digs (math-match-substring s 1))) (math-read-radix digs 16))) ;; Hours (or degrees) ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s) (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s)) (let* ((hours (math-match-substring s 1)) (minsec (math-match-substring s 2)) (hours (math-read-number hours)) (minsec (if (> (length minsec) 0) (math-read-number minsec) 0))) (and hours minsec (math-num-integerp hours) (not (math-negp hours)) (not (math-negp minsec)) (cond ((math-num-integerp minsec) (and (Math-lessp minsec 60) (list 'hms hours minsec 0))) ((and (eq (car-safe minsec) 'hms) (math-zerop (nth 1 minsec))) (math-add (list 'hms hours 0 0) minsec)) (t nil))))) ;; Minutes ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s) (let* ((minutes (math-match-substring s 1)) (seconds (math-match-substring s 2)) (minutes (math-read-number minutes)) (seconds (if (> (length seconds) 0) (math-read-number seconds) 0))) (and minutes seconds (math-num-integerp minutes) (not (math-negp minutes)) (not (math-negp seconds)) (cond ((math-realp seconds) (and (Math-lessp minutes 60) (list 'hms 0 minutes seconds))) ((and (eq (car-safe seconds) 'hms) (math-zerop (nth 1 seconds)) (math-zerop (nth 2 seconds))) (math-add (list 'hms 0 minutes 0) seconds)) (t nil))))) ;; Seconds ((string-match "^\\([^\"#^]+\\)[sS\"]$" s) (let ((seconds (math-read-number (math-match-substring s 1)))) (and seconds (math-realp seconds) (not (math-negp seconds)) (Math-lessp seconds 60) (list 'hms 0 0 seconds)))) ;; Fraction using "/" instead of ":" ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s) (math-read-number (concat (math-match-substring s 1) ":" (math-match-substring s 2)))) ;; Syntax error! (t nil))) (defun math-read-radix (s r) ; [I X D] (setq s (upcase s)) (let ((i 0) (res 0) dig) (while (and (< i (length s)) (setq dig (math-read-radix-digit (elt s i))) (< dig r)) (setq res (math-add (math-mul res r) dig) i (1+ i))) (and (= i (length s)) res))) ;;; Expression parsing. (defvar math-expr-data) (defvar math-exp-pos) (defvar math-exp-old-pos) (defvar math-exp-keep-spaces) (defvar math-exp-token) (defvar math-expr-data) (defvar math-exp-str) (defun math-read-expr (str) (let ((math-exp-pos 0) (math-exp-str str) (math-exp-old-pos 0) (math-exp-keep-spaces nil) math-exp-token math-expr-data) (setq math-exp-str (math-read-preprocess-string math-exp-str)) (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str)) (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots" (substring math-exp-str (+ math-exp-token 2))))) (math-build-parse-table) (math-read-token) (let ((val (catch 'syntax (math-read-expr-level 0)))) (if (stringp val) (list 'error math-exp-old-pos val) (if (equal math-exp-token 'end) val (list 'error math-exp-old-pos "Syntax error")))))) (defun math-read-plain-expr (exp-str &optional error-check) (let* ((calc-language nil) (math-expr-opers (math-standard-ops)) (val (math-read-expr exp-str))) (and error-check (eq (car-safe val) 'error) (error "%s: %s" (nth 2 val) exp-str)) val)) (defun math-read-string () (let ((str (read-from-string (concat math-expr-data "\"")))) (or (and (= (cdr str) (1+ (length math-expr-data))) (stringp (car str))) (throw 'syntax "Error in string constant")) (math-read-token) (append '(vec) (car str) nil))) ;;; They said it couldn't be done... (defvar math-read-big-baseline) (defvar math-read-big-h2) (defvar math-read-big-err-msg) (defvar math-read-big-lines) (defun math-read-big-expr (str) (and (> (length calc-left-label) 0) (string-match (concat "^" (regexp-quote calc-left-label)) str) (setq str (concat (substring str 0 (match-beginning 0)) (substring str (match-end 0))))) (and (> (length calc-right-label) 0) (string-match (concat (regexp-quote calc-right-label) " *$") str) (setq str (concat (substring str 0 (match-beginning 0)) (substring str (match-end 0))))) (if (string-match "\\\\[^ \n|]" str) (if (eq calc-language 'latex) (math-read-expr str) (let ((calc-language 'latex) (calc-language-option nil) (math-expr-opers (get 'latex 'math-oper-table)) (math-expr-function-mapping (get 'latex 'math-function-table)) (math-expr-variable-mapping (get 'latex 'math-variable-table))) (math-read-expr str))) (let ((math-read-big-lines nil) (pos 0) (width 0) (math-read-big-err-msg nil) math-read-big-baseline math-read-big-h2 new-pos p) (while (setq new-pos (string-search "\n" str pos)) (setq math-read-big-lines (cons (substring str pos new-pos) math-read-big-lines) pos (1+ new-pos))) (setq math-read-big-lines (nreverse (cons (substring str pos) math-read-big-lines)) p math-read-big-lines) (while p (setq width (max width (length (car p))) p (cdr p))) (if (math-read-big-bigp math-read-big-lines) (or (catch 'syntax (math-read-big-rec 0 0 width (length math-read-big-lines))) math-read-big-err-msg '(error 0 "Syntax error")) (math-read-expr str))))) (defvar math-rb-h2) (defun math-read-big-bigp (read-big-lines) (when (cdr read-big-lines) (let ((math-read-big-lines read-big-lines) (matrix nil) (v 0) (height (if (> (length (car read-big-lines)) 0) 1 0))) (while (and (cdr math-read-big-lines) (let* ((i 0) j (l1 (car math-read-big-lines)) (l2 (nth 1 math-read-big-lines)) (len (min (length l1) (length l2)))) (if (> (length l2) 0) (setq height (1+ height))) (while (and (< i len) (or (memq (aref l1 i) '(?\ ?\- ?\_)) (memq (aref l2 i) '(?\ ?\-)) (and (memq (aref l1 i) '(?\| ?\,)) (= (aref l2 i) (aref l1 i))) (and (eq (aref l1 i) ?\[) (eq (aref l2 i) ?\[) (let ((math-rb-h2 (length l1))) (setq j (math-read-big-balance (1+ i) v "["))) (setq i (1- j))))) (setq i (1+ i))) (or (= i len) (and (eq (aref l1 i) ?\[) (eq (aref l2 i) ?\[) (setq matrix t) nil)))) (setq math-read-big-lines (cdr math-read-big-lines) v (1+ v))) (or (and (> height 1) (not (cdr math-read-big-lines))) matrix)))) ;;; Nontrivial "flat" formatting. (defvar math-format-hash-args nil) (defvar calc-can-abbrev-vectors nil) (defun math-format-flat-expr-fancy (a prec) (cond ((eq (car a) 'incomplete) (format "" (nth 1 a))) ((eq (car a) 'vec) (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors) (< (length a) 7)) (concat "[" (math-format-flat-vector (cdr a) ", " (if (cdr (cdr a)) 0 1000)) "]") (concat "[" (math-format-flat-expr (nth 1 a) 0) ", " (math-format-flat-expr (nth 2 a) 0) ", " (math-format-flat-expr (nth 3 a) 0) ", ..., " (math-format-flat-expr (nth (1- (length a)) a) 0) "]"))) ((eq (car a) 'intv) (concat (if (memq (nth 1 a) '(0 1)) "(" "[") (math-format-flat-expr (nth 2 a) 1000) " .. " (math-format-flat-expr (nth 3 a) 1000) (if (memq (nth 1 a) '(0 2)) ")" "]"))) ((eq (car a) 'date) (concat "<" (math-format-date a) ">")) ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2)) (let ((p (cdr a)) (ap calc-arg-values) (math-format-hash-args (if (= (length a) 3) 1 t))) (while (and (cdr p) (equal (car p) (car ap))) (setq p (cdr p) ap (cdr ap))) (concat "<" (if (cdr p) (concat (math-format-flat-vector (nreverse (cdr (reverse (cdr a)))) ", " 0) " : ") "") (math-format-flat-expr (nth (1- (length a)) a) 0) ">"))) ((eq (car a) 'var) (or (and math-format-hash-args (let ((p calc-arg-values) (v 1)) (while (and p (not (equal (car p) a))) (setq p (and (eq math-format-hash-args t) (cdr p)) v (1+ v))) (and p (if (eq math-format-hash-args 1) "#" (format "#%d" v))))) (symbol-name (nth 1 a)))) ((and (memq (car a) '(calcFunc-string calcFunc-bstring)) (= (length a) 2) (math-vectorp (nth 1 a)) (math-vector-is-string (nth 1 a))) (concat (substring (symbol-name (car a)) 9) "(" (math-vector-to-string (nth 1 a) t) ")")) (t (let ((op (math-assq2 (car a) (math-standard-ops)))) (cond ((and op (= (length a) 3)) (if (> prec (min (nth 2 op) (nth 3 op))) (concat "(" (math-format-flat-expr a 0) ")") (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op))) (rhs (math-format-flat-expr (nth 2 a) (nth 3 op)))) (setq op (car op)) (if (or (equal op "^") (equal op "_")) (if (= (aref lhs 0) ?-) (setq lhs (concat "(" lhs ")"))) (setq op (concat " " op " "))) (concat lhs op rhs)))) ((eq (car a) 'neg) (concat "-" (math-format-flat-expr (nth 1 a) 1000))) (t (concat (math-remove-dashes (if (string-match "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'" (symbol-name (car a))) (math-match-substring (symbol-name (car a)) 1) (symbol-name (car a)))) "(" (math-format-flat-vector (cdr a) ", " 0) ")"))))))) (defun math-format-flat-vector (vec sep prec) (if vec (let ((buf (math-format-flat-expr (car vec) prec))) (while (setq vec (cdr vec)) (setq buf (concat buf sep (math-format-flat-expr (car vec) prec)))) buf) "")) (defun math-format-nice-expr (x w) (cond ((and (eq (car-safe x) 'vec) (cdr (cdr x)) (let ((ops '(vec calcFunc-assign calcFunc-condition calcFunc-schedule calcFunc-iterations calcFunc-phase))) (or (memq (car-safe (nth 1 x)) ops) (memq (car-safe (nth 2 x)) ops) (memq (car-safe (nth 3 x)) ops) calc-break-vectors))) (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]")) (t (let ((str (math-format-flat-expr x 0)) (pos 0) p) (or (string-search "\"" str) (while (<= (setq p (+ pos w)) (length str)) (while (and (> (setq p (1- p)) pos) (not (= (aref str p) ? )))) (if (> p (+ pos 5)) (setq str (concat (substring str 0 p) "\n " (substring str p)) pos (1+ p)) (setq pos (+ pos w))))) str)))) (defun math-assq2 (v a) (while (and a (not (eq v (nth 1 (car a))))) (setq a (cdr a))) (car a)) (defun math-format-number-fancy (a prec) (cond ((eq (car a) 'float) ; non-decimal radix (if (Math-integer-negp (nth 1 a)) (concat "-" (math-format-number (math-neg a))) (let ((str (if (and calc-radix-formatter (not (memq calc-language '(c pascal)))) (funcall calc-radix-formatter calc-number-radix (math-format-radix-float a prec)) (format "%d#%s" calc-number-radix (math-format-radix-float a prec))))) (if (and prec (> prec 191) (string-search "*" str)) (concat "(" str ")") str)))) ((eq (car a) 'frac) (setq a (math-adjust-fraction a)) (if (> (length (car calc-frac-format)) 1) (if (Math-integer-negp (nth 1 a)) (concat "-" (math-format-number (math-neg a))) (let ((q (math-idivmod (nth 1 a) (nth 2 a)))) (concat (let ((calc-frac-format nil)) (math-format-number (car q))) (substring (car calc-frac-format) 0 1) (let ((math-radix-explicit-format nil) (calc-frac-format nil)) (math-format-number (cdr q))) (substring (car calc-frac-format) 1 2) (let ((math-radix-explicit-format nil) (calc-frac-format nil)) (math-format-number (nth 2 a)))))) (concat (let ((calc-frac-format nil)) (math-format-number (nth 1 a))) (car calc-frac-format) (let ((math-radix-explicit-format nil) (calc-frac-format nil)) (math-format-number (nth 2 a)))))) ((eq (car a) 'cplx) (if (math-zerop (nth 2 a)) (math-format-number (nth 1 a)) (if (null calc-complex-format) (concat "(" (math-format-number (nth 1 a)) ", " (math-format-number (nth 2 a)) ")") (if (math-zerop (nth 1 a)) (if (math-equal-int (nth 2 a) 1) (symbol-name calc-complex-format) (if (math-equal-int (nth 2 a) -1) (concat "-" (symbol-name calc-complex-format)) (if prec (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec) (concat (math-format-number (nth 2 a)) " " (symbol-name calc-complex-format))))) (if prec (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+) (nth 1 a) (list 'cplx 0 (math-abs (nth 2 a)))) prec) (concat (math-format-number (nth 1 a)) (if (math-negp (nth 2 a)) " - " " + ") (math-format-number (list 'cplx 0 (math-abs (nth 2 a)))))))))) ((eq (car a) 'polar) (concat "(" (math-format-number (nth 1 a)) "; " (math-format-number (nth 2 a)) ")")) ((eq (car a) 'hms) (if (math-negp a) (concat "-" (math-format-number (math-neg a))) (let ((calc-number-radix 10) (calc-twos-complement-mode nil) (calc-leading-zeros nil) (calc-group-digits nil)) (format calc-hms-format (let ((calc-frac-format '(":" nil))) (math-format-number (nth 1 a))) (let ((calc-frac-format '(":" nil))) (math-format-number (nth 2 a))) (math-format-number (nth 3 a)))))) ((eq (car a) 'intv) (concat (if (memq (nth 1 a) '(0 1)) "(" "[") (math-format-number (nth 2 a)) " .. " (math-format-number (nth 3 a)) (if (memq (nth 1 a) '(0 2)) ")" "]"))) ((eq (car a) 'sdev) (concat (math-format-number (nth 1 a)) " +/- " (math-format-number (nth 2 a)))) ((eq (car a) 'vec) (math-format-flat-expr a 0)) (t (format "%s" a)))) (defun math-adjust-fraction (a) (if (nth 1 calc-frac-format) (progn (if (Math-integerp a) (setq a (list 'frac a 1))) (let ((g (math-quotient (nth 1 calc-frac-format) (math-gcd (nth 2 a) (nth 1 calc-frac-format))))) (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g)))) a)) (defun math--format-integer-fancy (a) ; [I] (let ((str (if (= calc-number-radix 10) (number-to-string a) (math-format-radix a)))) (if calc-leading-zeros (let* ((calc-internal-prec 6) (digs (math-compute-max-digits (math-abs calc-word-size) calc-number-radix)) (len (length str))) (if (< len digs) (setq str (concat (make-string (- digs len) ?0) str))))) (if calc-group-digits (let ((i (length str)) (g (if (integerp calc-group-digits) (math-abs calc-group-digits) (if (memq calc-number-radix '(2 16)) 4 3)))) (while (> i g) (setq i (- i g) str (concat (substring str 0 i) calc-group-char (substring str i)))) str)) (if (and (/= calc-number-radix 10) math-radix-explicit-format) (if calc-radix-formatter (funcall calc-radix-formatter calc-number-radix str) (format "%d#%s" calc-number-radix str)) str))) (defun math-group-float (str) ; [X X] (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str))) (g (if (integerp calc-group-digits) (math-abs calc-group-digits) (if (memq calc-number-radix '(2 16)) 4 3))) (i pt)) (if (and (integerp calc-group-digits) (< calc-group-digits 0)) (while (< (setq i (+ (1+ i) g)) (length str)) (setq str (concat (substring str 0 i) calc-group-char (substring str i)) i (+ i (1- (length calc-group-char)))))) (setq i pt) (while (> i g) (setq i (- i g) str (concat (substring str 0 i) calc-group-char (substring str i)))) str)) ;;; Users can redefine this in their init files. (defvar calc-keypad-user-menu nil "If non-nil, this describes an additional menu for `calc-keypad'. It should contain a list of three rows. Each row should be a list of six keys. Each key should be a list of a label string, plus a Calc command name spec. A command spec is a command name symbol, a keyboard macro string, a list containing a numeric entry string, or nil. A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.") (make-obsolete-variable 'calc-ext-load-hook "use `with-eval-after-load' instead." "28.1") (run-hooks 'calc-ext-load-hook) (provide 'calc-ext) ;;; calc-ext.el ends here