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help.c
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/*
* Mathomatic help command and parsing routines.
*
* Everything that depends on the command table goes here.
*
* Copyright (C) 1987-2012 George Gesslein II.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
The chief copyright holder can be contacted at [email protected], or
George Gesslein II, P.O. Box 224, Lansing, NY 14882-0224 USA.
*/
#include "includes.h"
#include "license.h" /* the current software license for Mathomatic */
#define CMD_REQUIRED_NCHARS 4 /* Only type this many characters to run a Mathomatic command. */
/* Set this to a high number like 50 to require all letters of a command to be typed. */
/*
* The following structure is used for each Mathomatic command.
*/
typedef struct {
const char *name; /* command name to be typed by user (must not contain any spaces) */
const char *secondary_name; /* another name for this command */
int (*func)(); /* function that handles this command */
/* function is passed a char pointer and returns true if successful */
const char *usage; /* command syntax text */
const char *info; /* one line description of command */
const char *extra; /* one line extra info on command */
} com_type;
/*
* The Mathomatic command table follows. It should be in alphabetical order.
*/
static const com_type com_list[] = {
/* command name, alternate name, function, usage, information */
{ "approximate", NULL, approximate_cmd, "[equation-number-ranges]", "Approximate all numerical values in equation spaces.", "\"repeat approximate\" approximates more, like calculate." },
#if !LIBRARY
{ "calculate", NULL, calculate_cmd, "[\"factor\"] [equation-number-range] [variable iterations]", "Temporarily plug in values for variables and approximate well.", "\"repeat calculate\" repeatedly prompts for any input." },
#endif
{ "clear", NULL, clear_cmd, "[equation-number-ranges]", "Delete expressions stored in memory so equation spaces can be reused.", "Tip: Use \"clear all\" to quickly restart Mathomatic." },
{ "code", NULL, code_cmd, "[\"c\" or \"java\" or \"python\" or \"integer\"] [equation-number-ranges]", "Output C, Java, or Python code for the specified equations.", "Related commands: simplify, optimize, and variables" },
{ "compare", NULL, compare_cmd, "[\"symbolic\" \"approx\"] equation-number [\"with\" equation-number]", "Compare two equation spaces for mathematical equivalence.", "This command may be preceded with \"repeat\" for full simplify." },
{ "copy", NULL, copy_cmd, "[\"select\"] [equation-number-ranges]", "Duplicate the contents of the specified equation spaces.", "With select, the first copy is made the current equation." },
{ "derivative", "differentiate", derivative_cmd, "[\"nosimplify\"] variable or \"all\" [order]", "Symbolically differentiate and simplify, order times." },
{ "display", NULL, display_cmd, "[\"factor\"] [\"simple\" or \"mixed\"] [equation-number-ranges]", "Display expressions in pretty, 2D multi-line fraction format." },
{ "divide", NULL, divide_cmd, "[base-variable] [dividend divisor]", "Divide 2 numbers or polynomials. Give detailed result and GCD.", "\"repeat divide\" repeatedly prompts for any input." },
{ "echo", NULL, echo_cmd, "[text]", "Output a line of text, followed by a newline.", "This command may be preceded with \"repeat\"." },
#if SHELL_OUT
{ "edit", NULL, edit_cmd, "[file-name]", "Edit all equation spaces or an input file, then read them in.", "Editor name in EDITOR environment variable." },
#endif
{ "eliminate", NULL, eliminate_cmd, "variables or \"all\" [\"using\" equation-number]", "Substitute the specified variables with solved equations.", "This command may be preceded with \"repeat\"." },
{ "extrema", NULL, extrema_cmd, "[variable] [order]", "Show where the slope of the current equation equals zero.", "Helps with finding the minimums and maximums." },
{ "factor", "collect", factor_cmd, "[\"number\" [integers]] or [\"power\"] [equation-number-range] [variables]", "Factor variables in equation spaces or factorize given integers." },
{ "for", NULL, for_cmd, "variable start end [step-size]", "Evaluate and display the current expression for each value of variable.", "Same syntax as the sum and product commands." },
{ "fraction", NULL, fraction_cmd, "[\"numerator\" \"denominator\"] [equation-number-range]", "Convert expression to a single simple algebraic fraction.", "This command may be preceded with \"repeat\"." },
#if HELP
{ "help", "?", help_cmd, "[topics or command-names]", "Short, built-in help and reference." },
#endif
{ "imaginary", NULL, imaginary_cmd, "[variable]", "Fully expand and copy the imaginary part of the current expression.", "Related command: real" },
{ "integrate", "integral", integrate_cmd, "[\"constant\" or \"definite\"] variable [order [lower and upper-bounds]]", "Symbolically integrate polynomials order times, then simplify." },
{ "laplace", NULL, laplace_cmd, "[\"inverse\"] variable", "Compute the Laplace or inverse Laplace transform of polynomials.", "This command only works with polynomials." },
{ "limit", NULL, limit_cmd, "variable expression", "Take the limit as variable goes to expression.", "This limit command is experimental." },
{ "list", NULL, list_cmd, "[\"export\" or \"maxima\" or \"gnuplot\" or \"hex\"] [equation-number-ranges]", "Display equation spaces in single-line (one-dimensional) format.", "Options to export expressions to other math programs." },
{ "nintegrate", NULL, nintegrate_cmd, "[\"trapezoid\"] variable [partitions [lower and upper-bounds]]", "Do numerical definite integration using Simpson's rule.", "This command cannot integrate over singularities." },
{ "optimize", NULL, optimize_cmd, "[equation-number-range]", "Split up equations into smaller, more efficient equations." },
{ "pause", NULL, pause_cmd, "[text]", "Display a line of text and wait for user to press the Enter key." },
#if SHELL_OUT
{ "plot", NULL, plot_cmd, "[equation-number-ranges] [xyz-ranges] [gnuplot-expressions,]", "Automatically plot multiple expressions in 2D or 3D with gnuplot.", "Plots variable x; if expression contains y, do a 3D surface plot." },
#endif
{ "product", NULL, product_cmd, "variable start end [step-size]", "Compute the product as variable goes from start to end.", "Related command: sum" },
#if READLINE || EDITLINE
{ "push", NULL, push_cmd, "[equation-number-ranges or text-to-push]", "Push equation spaces or text into readline history for editing.", "Available only if readline is enabled." },
#endif
#if !LIBRARY
{ "quit", "exit", quit_cmd, "[exit-value]", "Terminate this program without saving." },
#endif
#if !SECURE
{ "read", NULL, read_cmd, "[file-name or directory]", "Display/change directory, or read in a text file as if it was typed in.", "\"repeat read\" will read in a file repeatedly until failure." },
#endif
{ "real", NULL, real_cmd, "[variable]", "Fully expand and copy the real part of the current expression.", "Related command: imaginary" },
{ "replace", NULL, replace_cmd, "[variables [\"with\" expression]]", "Substitute variables in the current equation with expressions.", "This command may be preceded with \"repeat\"." },
{ "roots", NULL, roots_cmd, "root real-part imaginary-part", "Display all the roots of a complex number.", "\"repeat roots\" repeatedly prompts for any input." },
#if !SECURE
{ "save", NULL, save_cmd, "file-name", "Save all equation spaces in a text file.", "Related command: read" },
#endif
{ "set", NULL, set_cmd, "[[\"no\"] option [value]] ...", "Display, set, or \"save\" current session options.", "\"set\" by itself will show all current option settings." },
{ "simplify", NULL, simplify_cmd, "[\"sign\" \"symbolic\" \"quick[est]\" \"fraction\"] [equation-number-ranges]", "Completely simplify expressions.", "This command may be preceded with \"repeat\" for full simplify." },
{ "solve", NULL, solve_cmd, "[\"verify\" or \"verifiable\"] [equation-number-range] [\"for\"] expression", "Solve the specified equations for a variable or for zero.", "The verify options check all returned solutions for correctness." },
{ "sum", NULL, sum_cmd, "variable start end [step-size]", "Compute the summation as variable goes from start to end.", "Related command: product" },
#if !LIBRARY
{ "tally", NULL, tally_cmd, "[\"average\"] [equation-number-ranges]", "Add entries, specified and prompted for, showing total." },
#endif
{ "taylor", NULL, taylor_cmd, "[\"nosimplify\"] variable order point", "Compute the Taylor series expansion of the current expression." },
{ "unfactor", "expand", unfactor_cmd, "[\"count\" \"fraction\" \"quick\" \"power\"] [equation-number-range]", "Algebraically expand (multiply out) expressions." },
{ "variables", NULL, variables_cmd, "[\"c\" \"java\" \"integer\" \"count\"] [equation-number-ranges]", "Show all variable names used within the specified expressions.", "Related command: code" },
{ "version", NULL, version_cmd, "[\"status\"]", "Display Mathomatic version, status, and compiler information." }
};
#if HELP
const char *example_strings[] = {
"; Example 1:\n",
"; Here the derivative of the absolute value function is computed.\n",
"; Expressions are entered by just typing them in:\n",
"|x| ; The absolute value of x\n",
"derivative ; The result gives the sign of x:\n",
"pause\n",
"repeat echo -\n",
"; Example 2:\n",
#if !LIBRARY
"; Here the calculate command is used to plug values into a solved formula.\n",
"; A common temperature conversion formula (from \"help conversions\"):\n",
"fahrenheit = (9*celsius/5) + 32\n",
"repeat calculate ; plug in values until an empty line is entered\n",
"\n",
"; Solve for the other variable and simplify the result:\n",
"solve for celsius\n",
"simplify\n",
"repeat calculate ; plug in values until an empty line is entered\n",
"\n",
"variables count; count all variables that occur in expressions\n",
"pause\n",
"repeat echo -\n",
"; Example 3:\n",
#endif
"; Expand the following to polynomial form, then refactor and differentiate:\n",
"(x+y+z)^3\n",
"expand count ; Expand and count the resulting number of terms:\n",
"pause\n",
"simplify ; refactor:\n",
"derivative x ; here is the derivative, with respect to x:\n",
"expand count ; and its term count, when expanded:\n",
NULL
};
#endif
#if HELP
const char *geometry_strings[] = {
"; Triangle area, \"b\" is the \"base\" side:\n",
"triangle_area = b*height/2\n",
"; Here is Heron's formula for the area of any triangle\n",
"; given all three side lengths (\"a\", \"b\", and \"c\"):\n",
"triangle_area = (((a + b + c)*(a - b + c)*(a + b - c)*(b - a + c))^(1/2))/4\n",
"\n",
"; Rectangle of length \"l\" and width \"w\":\n",
"rectangle_area = l*w\n",
"rectangle_perimeter = 2*l + 2*w\n",
"\n",
"; Trapezoid of parallel sides \"a\" and \"b\",\n",
"; and the \"distance\" between them:\n",
"trapezoid_area = distance*(a + b)/2\n",
"\n",
"; Circle of radius \"r\":\n",
"circle_area = pi*r^2\n",
"circle_perimeter = 2*pi*r\n",
"\n",
"; 3D rectangular solid of length \"l\", width \"w\", and height \"h\":\n",
"brick_volume = l*w*h\n",
"brick_surface_area = 2*l*w + 2*l*h + 2*w*h\n",
"\n",
"; 3D sphere of radius \"r\":\n",
"sphere_volume = 4/3*pi*r^3\n",
"sphere_surface_area = 4*pi*r^2\n",
"\n",
"; Convex 2D polygon with straight sides,\n",
"; sum of all interior angles formula in degree, radian, and gradian units:\n",
"sum_degrees = (sides - 2)*180\n",
"sum_radians = (sides - 2)*pi\n",
"sum_grads = (sides - 2)*180*10/9 ; Rarely used gradian formula.\n",
"; \"sides\" is the number of sides of any convex 2D polygon.\n",
"; Convex means that all interior angles are less than 180 degrees.\n",
"; Type \"elim sides\" to get the radians/degrees/grads conversion formulas.\n",
NULL
};
const char *conversion_strings[] = {
"; Temperature\n",
"fahrenheit = (9*celsius/5) + 32\n",
"kelvin = celsius + 273.15\n",
"; Distance\n",
"inches = centimeters/2.54\n",
"miles = kilometers/1.609344\n",
"; Weight\n",
"pounds = kilograms/0.45359237\n",
NULL
};
#endif
/*
* Process mathematical expression input in Mathomatic,
* with no solving and no automatic calculation.
*
* Simply parse the equation or expression text in "cp"
* and place the result in equation space "n".
*
* Return true if successful.
*/
int
parse(MathoMatic* mathomatic, int n, char *cp)
{
if (parse_equation(mathomatic, n, cp)) {
if (mathomatic->n_lhs[n] == 0 && mathomatic->n_rhs[n] == 0)
return true;
if (mathomatic->n_lhs[n] == 0) {
/* RHS expression only, set equal to zero */
mathomatic->n_lhs[n] = 1;
mathomatic->lhs[n][0] = mathomatic->zero_token;
}
mathomatic->cur_equation = n;
return return_result(mathomatic, mathomatic->cur_equation);
}
return false;
}
/*
* Process main prompt equation and expression input in Mathomatic;
* either swapping equation sides, selecting an equation space (autoselect),
* solving the current equation (autosolve), calculating a numerical expression (autocalc),
* or storing a new or modified equation or expression.
* Here we can apply identical operations to both sides of an equation, too.
*
* Parse the mathematical expression text in "cp" and perform one of the above operations,
* or store it in equation space "n" and display.
*
* Return true if successful.
*/
int
process_parse(MathoMatic* mathomatic, int n, char *cp)
{
int i;
char *cp1, *ep;
int equals_flag = false;
#if LIBRARY
int previous_repeat_flag;
#endif
int rv;
int op = 0;
//static int last_autocalc_en = -1;
long answer_v = 0; /* Mathomatic answer variable */
if (cp == NULL)
return false;
if ((cp1 = strchr(cp, '=')) != NULL) {
if (strrchr(cp, '=') == cp1 && is_mathomatic_operator(cp[0]) && cp[0] != '='
&& is_mathomatic_operator(cp[1])) {
if (cp[1] == '=') {
switch (cp[0]) {
case '+':
op = PLUS;
break;
case '-':
op = MINUS;
break;
case '*':
op = TIMES;
break;
case '/':
op = DIVIDE;
break;
case '^':
op = POWER;
break;
case '%':
op = MODULUS;
break;
}
} else if (cp[2] == '=') {
if (cp[0] == '*' && cp[1] == '*') {
op = POWER;
} else if (cp[0] == '/' && cp[1] == '/') {
op = IDIVIDE;
}
}
}
if (op) {
if (mathomatic->cur_equation == n || empty_equation_space(mathomatic, mathomatic->cur_equation)) {
error(mathomatic, _("No current equation to manipulate."));
return false;
}
mathomatic->input_column += (cp1 + 1) - cp;
if (parse_equation(mathomatic, n, cp1 + 1) == NULL) {
return false;
}
if (mathomatic->n_lhs[n] <= 0 || mathomatic->n_rhs[n] != 0) {
error(mathomatic, _("Syntax error."));
mathomatic->n_lhs[n] = 0;
mathomatic->n_rhs[n] = 0;
return false;
}
if (mathomatic->n_lhs[mathomatic->cur_equation] + 1 + mathomatic->n_lhs[n] > mathomatic->n_tokens
|| mathomatic->n_rhs[mathomatic->cur_equation] + 1 + mathomatic->n_lhs[n] > mathomatic->n_tokens) {
mathomatic->n_lhs[n] = 0;
mathomatic->n_rhs[n] = 0;
error_huge(mathomatic);
}
for (i = 0; i < mathomatic->n_lhs[mathomatic->cur_equation]; i++) {
mathomatic->lhs[mathomatic->cur_equation][i].level++;
}
mathomatic->lhs[mathomatic->cur_equation][i].kind = OPERATOR;
mathomatic->lhs[mathomatic->cur_equation][i].level = 1;
mathomatic->lhs[mathomatic->cur_equation][i].token.operatr = op;
i++;
blt(&mathomatic->lhs[mathomatic->cur_equation][i], mathomatic->lhs[n], mathomatic->n_lhs[n] * sizeof(token_type));
mathomatic->n_lhs[mathomatic->cur_equation] += 1 + mathomatic->n_lhs[n];
for (; i < mathomatic->n_lhs[mathomatic->cur_equation]; i++) {
mathomatic->lhs[mathomatic->cur_equation][i].level++;
}
if (mathomatic->n_rhs[mathomatic->cur_equation] > 0) {
for (i = 0; i < mathomatic->n_rhs[mathomatic->cur_equation]; i++) {
mathomatic->rhs[mathomatic->cur_equation][i].level++;
}
mathomatic->rhs[mathomatic->cur_equation][i].kind = OPERATOR;
mathomatic->rhs[mathomatic->cur_equation][i].level = 1;
mathomatic->rhs[mathomatic->cur_equation][i].token.operatr = op;
i++;
blt(&mathomatic->rhs[mathomatic->cur_equation][i], mathomatic->lhs[n], mathomatic->n_lhs[n] * sizeof(token_type));
mathomatic->n_rhs[mathomatic->cur_equation] += 1 + mathomatic->n_lhs[n];
for (; i < mathomatic->n_rhs[mathomatic->cur_equation]; i++) {
mathomatic->rhs[mathomatic->cur_equation][i].level++;
}
}
mathomatic->n_lhs[n] = 0;
mathomatic->n_rhs[n] = 0;
simp_equation(mathomatic, mathomatic->cur_equation);
return return_result(mathomatic, mathomatic->cur_equation);
}
}
if ((ep = parse_equation(mathomatic, n, cp))) {
for (cp1 = cp; cp1 < ep; cp1++) {
if (*cp1 == '=') {
equals_flag = true;
break;
}
}
if (mathomatic->n_lhs[n] == 0 && mathomatic->n_rhs[n] == 0) {
if (strcmp(cp, "=") == 0 && mathomatic->cur_equation != n && equation_space_is_equation(mathomatic, mathomatic->cur_equation)) {
debug_string(mathomatic, 0, _("Swapping both sides of the current equation..."));
n = mathomatic->cur_equation;
i = mathomatic->n_lhs[n];
blt(mathomatic->scratch, mathomatic->lhs[n], i * sizeof(token_type));
mathomatic->n_lhs[n] = mathomatic->n_rhs[n];
blt(mathomatic->lhs[n], mathomatic->rhs[n], mathomatic->n_rhs[n] * sizeof(token_type));
mathomatic->n_rhs[n] = i;
blt(mathomatic->rhs[n], mathomatic->scratch, i * sizeof(token_type));
return return_result(mathomatic, mathomatic->cur_equation);
}
return true;
}
if (mathomatic->n_lhs[n] == 0 || mathomatic->n_rhs[n] == 0) {
if (equals_flag && mathomatic->cur_equation != n && !empty_equation_space(mathomatic, mathomatic->cur_equation) && mathomatic->n_rhs[mathomatic->cur_equation] == 0) {
debug_string(mathomatic, 0, _("Combining to make an equation out of the current non-equation."));
if (mathomatic->n_lhs[n]) {
/* copy the LHS to the RHS */
blt(mathomatic->rhs[mathomatic->cur_equation], mathomatic->lhs[mathomatic->cur_equation], mathomatic->n_lhs[mathomatic->cur_equation] * sizeof(token_type));
mathomatic->n_rhs[mathomatic->cur_equation] = mathomatic->n_lhs[mathomatic->cur_equation];
blt(mathomatic->lhs[mathomatic->cur_equation], mathomatic->lhs[n], mathomatic->n_lhs[n] * sizeof(token_type));
mathomatic->n_lhs[mathomatic->cur_equation] = mathomatic->n_lhs[n];
} else if (mathomatic->n_rhs[n]) {
blt(mathomatic->rhs[mathomatic->cur_equation], mathomatic->rhs[n], mathomatic->n_rhs[n] * sizeof(token_type));
mathomatic->n_rhs[mathomatic->cur_equation] = mathomatic->n_rhs[n];
}
mathomatic->n_lhs[n] = 0;
mathomatic->n_rhs[n] = 0;
return return_result(mathomatic, mathomatic->cur_equation);
}
if (mathomatic->autosolve || equals_flag) {
if ((mathomatic->n_lhs[n] == 1 && ((mathomatic->lhs[n][0].kind == CONSTANT && mathomatic->lhs[n][0].token.constant == 0.0)
|| (mathomatic->lhs[n][0].kind == VARIABLE && ((mathomatic->lhs[n][0].token.variable & VAR_MASK) > SIGN || equals_flag))))
|| (mathomatic->n_rhs[n] == 1 && ((mathomatic->rhs[n][0].kind == CONSTANT && mathomatic->rhs[n][0].token.constant == 0.0)
|| mathomatic->rhs[n][0].kind == VARIABLE))) {
rv = solve_espace(mathomatic, n, mathomatic->cur_equation);
mathomatic->n_lhs[n] = 0;
mathomatic->n_rhs[n] = 0;
if (rv) {
return return_result(mathomatic, mathomatic->cur_equation);
} else {
return false;
}
}
}
if (!equals_flag && mathomatic->autoselect && mathomatic->n_lhs[n] == 1 && mathomatic->lhs[n][0].kind == CONSTANT && fmod(mathomatic->lhs[n][0].token.constant, 1.0) == 0.0
&& mathomatic->lhs[n][0].token.constant > 0.0 && mathomatic->lhs[n][0].token.constant <= mathomatic->n_equations) {
/* easy selecting of equation spaces by just typing in the equation number */
mathomatic->cur_equation = mathomatic->lhs[n][0].token.constant - 1;
mathomatic->n_lhs[n] = 0;
return_result(mathomatic, mathomatic->cur_equation);
return true;
}
if (mathomatic->autocalc) {
/* the numerical input calculation */
if (mathomatic->n_lhs[n]) {
if (!exp_is_numeric(mathomatic->lhs[n], mathomatic->n_lhs[n])) {
goto set_equal_to_zero; /* not numerical (contains a variable) */
}
/* copy the LHS to the RHS */
blt(mathomatic->rhs[n], mathomatic->lhs[n], mathomatic->n_lhs[n] * sizeof(token_type));
mathomatic->n_rhs[n] = mathomatic->n_lhs[n];
}
if (exp_is_numeric(mathomatic->rhs[n], mathomatic->n_rhs[n])) {
/* make the expression an equation by making the LHS the "answer" variable */
mathomatic->lhs[n][0].level = 1;
mathomatic->lhs[n][0].kind = VARIABLE;
parse_var(mathomatic, &answer_v, "answer"); /* convert to a Mathomatic variable */
mathomatic->lhs[n][0].token.variable = answer_v;
mathomatic->n_lhs[n] = 1;
/* make it the current equation and run the calculate command on it */
mathomatic->cur_equation = n;
#if LIBRARY
previous_repeat_flag = mathomatic->repeat_flag;
mathomatic->repeat_flag = true; /* act like the calculate command does */
rv = approximate_cmd(mathomatic, ""); /* display an approximation even when using the Symbolic Math Library, unless autocalc is false */
mathomatic->repeat_flag = previous_repeat_flag;
#else
debug_string(mathomatic, 0, _("Calculating..."));
rv = calculate_cmd(mathomatic, ""); /* display the approximation */
#endif
/* Keep the current input until next autocalc, then delete if "set autodelete". */
i = mathomatic->last_autocalc_en;
if (mathomatic->autodelete && i >= 0 && i < mathomatic->n_equations) {
if (i != n && mathomatic->n_lhs[i] == 1 && mathomatic->lhs[i][0].kind == VARIABLE
&& mathomatic->lhs[i][0].token.variable == answer_v) {
/* delete previous answer from memory */
mathomatic->n_lhs[i] = 0;
mathomatic->n_rhs[i] = 0;
}
}
mathomatic->last_autocalc_en = n;
return rv;
}
}
set_equal_to_zero:
if (equals_flag) {
debug_string(mathomatic, 0, _("Setting new algebraic expression equal to zero."));
if (mathomatic->n_rhs[n]) {
/* RHS expression only with equals sign; set equal to zero */
mathomatic->n_lhs[n] = 1;
mathomatic->lhs[n][0] = mathomatic->zero_token;
} else if (mathomatic->n_lhs[n]) {
/* LHS expression only with equals sign; set equal to zero */
mathomatic->n_rhs[n] = 1;
mathomatic->rhs[n][0] = mathomatic->zero_token;
}
}
}
mathomatic->cur_equation = n;
return return_result(mathomatic, mathomatic->cur_equation);
}
return false;
}
/*
* Run a line of main prompt input to Mathomatic.
* It may be a command, an expression or equation to store, etc.
*
* Return true if line starts with a colon (:) or if successful.
*/
int
process(MathoMatic* mathomatic, char *cp)
{
if (cp && cp[0] == ':') {
mathomatic->input_column++;
mathomatic->previous_return_value = process_rv(mathomatic, cp + 1);
return true;
} else {
mathomatic->previous_return_value = process_rv(mathomatic, cp);
if (!mathomatic->previous_return_value) {
debug_string(mathomatic, 1, "Error return.");
}
return mathomatic->previous_return_value;
}
}
/*
* Run a line of main prompt input to Mathomatic.
* It may be a command, an expression or equation to store, etc.
*
* Return true if successful.
*/
int
process_rv(MathoMatic* mathomatic, char *cp)
{
char *cp1 = NULL;
char *cp_start;
int i;
int len;
int rv;
char buf2[MAX_CMD_LEN]; /* do not make this static! */
int our_repeat_flag = false;
long v; /* Mathomatic variable */
#if !SECURE
FILE *fp;
int i1;
#endif
#if DEBUG
check_gvars();
#endif
init_gvars(mathomatic); /* make sure we are in the default state */
set_sign_array(mathomatic); /* register all sign variables so that the next ones will be unique */
if (cp == NULL) {
return false;
}
cp_start = cp;
cp = skip_space(cp);
/* handle search forward */
if (*cp == '/' && isvarchar(mathomatic, cp[1])) {
cp++;
debug_string(mathomatic, 0, ("Searching forwards for variable."));
if ((cp1 = parse_var(mathomatic, &v, cp)) == NULL) {
return false;
}
if (extra_characters(mathomatic, cp1)) {
return false;
}
if (search_all_for_var(mathomatic, v, true)) {
return return_result(mathomatic, mathomatic->cur_equation);
} else {
error(mathomatic, _("Variable not found in any equation space."));
return false;
}
}
/* handle the equation selector */
if (*cp == '#') {
cp++;
if (isvarchar(mathomatic, *cp)) {
debug_string(mathomatic, 0, ("Searching backwards for variable."));
if ((cp1 = parse_var(mathomatic, &v, cp)) == NULL) {
return false;
}
if (extra_characters(mathomatic, cp1)) {
return false;
}
if (search_all_for_var(mathomatic, v, false)) {
return return_result(mathomatic, mathomatic->cur_equation);
} else {
error(mathomatic, _("Variable not found in any equation space."));
return false;
}
}
i = mathomatic->cur_equation;
cp1 = cp;
switch (*cp) {
case '+':
case '-':
i += strtol(cp, &cp1, 10);
break;
default:
if (isdigit(*cp)) {
i = strtol(cp, &cp1, 10) - 1;
}
break;
}
if (cp1 == NULL || cp == cp1) {
return true; /* treat as comment */
}
if (*cp1 == '\0' || *cp1 == ':' || isspace(*cp1)) {
if (!alloc_to_espace(mathomatic, i)) {
put_up_arrow(mathomatic, cp - cp_start, _("Equation number out of range."));
return false;
}
cp = cp1;
if (*cp == ':') {
cp++;
}
cp = skip_space(cp);
if (*cp) {
mathomatic->input_column += (cp - cp_start);
return parse(mathomatic, i, cp);
}
mathomatic->cur_equation = i;
return_result(mathomatic, mathomatic->cur_equation);
return true;
} else {
cp--;
}
}
#if SHELL_OUT
/* handle shell escape */
if (*cp == '!') {
if (mathomatic->security_level > 0) {
error(mathomatic, _("Shelling out disabled by security level."));
return false;
}
cp = skip_space(cp + 1);
if (*cp == '\0' && mathomatic->security_level < 0) {
error(mathomatic, _("Running an interactive shell is not possible with m4."));
return false;
}
#if MINGW
cp1 = "cmd";
#else
cp1 = getenv("SHELL");
if (cp1 == NULL) {
cp1 = "/bin/sh";
}
#endif
#if 0
if (*cp1 == '/' && access(cp1, X_OK)) {
perror(cp1);
error(mathomatic, _("Shell not found or not executable, check SHELL environment variable."));
return false;
}
#endif
rv = shell_out(mathomatic, *cp ? cp : cp1);
return !rv;
}
#endif
#if HELP
/* a quick way to get help */
if (*cp == '?') {
cp = skip_space(cp + 1);
mathomatic->input_column += (cp - cp_start);
return(help_cmd(mathomatic, cp));
}
#endif
/* See if the string pointed to by cp is a command. */
/* If so, execute it. */
do_repeat:
cp1 = cp;
while (*cp1 && !isspace(*cp1))
cp1++;
len = cp1 - cp; /* length of possible command name in cp */
#define COMPARE_COMMAND_NAME(str) (len >= min(CMD_REQUIRED_NCHARS, strlen(str)) \
&& len <= strlen(str) && strncasecmp(cp, str, len) == 0)
if (COMPARE_COMMAND_NAME("repeat")) {
our_repeat_flag = true;
cp = skip_space(cp1);
goto do_repeat;
}
for (i = 0; i < ARR_CNT(com_list); i++) {
if (COMPARE_COMMAND_NAME(com_list[i].name)
|| (com_list[i].secondary_name && COMPARE_COMMAND_NAME(com_list[i].secondary_name))) {
cp1 = skip_space(cp1);
mathomatic->input_column += (cp1 - cp_start);
/* Copy the command-line to buf2 and use it, because the original string may be overwritten. */
if (my_strlcpy(buf2, cp1, sizeof(buf2)) >= sizeof(buf2)) {
error(mathomatic, _("Command-line too long."));
return false;
}
#if !SECURE
fp = NULL;
if (mathomatic->security_level < 2) {
/* handle output redirection */
mathomatic->gfp_append_flag = false;
mathomatic->gfp_filename = NULL;
for (i1 = strlen(buf2) - 1; i1 >= 0; i1--) {
if (buf2[i1] == '>') {
mathomatic->gfp_filename = skip_space(&buf2[i1+1]);
if (i1 && buf2[i1-1] == '>') {
i1--;
mathomatic->gfp_append_flag = true;
}
buf2[i1] = '\0';
break;
}
}
if (mathomatic->gfp_filename) {
if (mathomatic->gfp_append_flag) {
fp = fopen(mathomatic->gfp_filename, "a");
} else {
fp = fopen(mathomatic->gfp_filename, "w");
}
if (fp == NULL) {
perror(mathomatic->gfp_filename);
error(mathomatic, _("Can't open redirected output file for writing."));
mathomatic->gfp_filename = NULL;
return false;
}
if (mathomatic->gfp != stdout && mathomatic->gfp != stderr && mathomatic->gfp != mathomatic->default_out) {
fclose(mathomatic->gfp); /* make sure previous redirection file is closed */
}
mathomatic->gfp = fp;
}
}
#endif
remove_trailing_spaces(buf2);
mathomatic->pull_number = 1;
mathomatic->show_usage = true;
mathomatic->repeat_flag = our_repeat_flag;
/* execute the command by calling the command function */
rv = (*com_list[i].func)(mathomatic, buf2);
mathomatic->repeat_flag = false;
#if !SECURE
if (fp && mathomatic->gfp != mathomatic->default_out) {
if (mathomatic->gfp != stdout && mathomatic->gfp != stderr)
fclose(mathomatic->gfp);
mathomatic->gfp = mathomatic->default_out;
}
mathomatic->gfp_filename = NULL;
#endif
#if !SILENT && !LIBRARY
if (!rv) {
if (mathomatic->show_usage && mathomatic->debug_level >= 0) {
printf("Command usage: %s %s\n", com_list[i].name, com_list[i].usage);
#if DEBUG
} else if (!mathomatic->test_mode && !mathomatic->demo_mode) {
printf(_("Command returned with error.\n"));
#endif
}
}
#endif
return rv;
}
}
if (our_repeat_flag) {
error(mathomatic, _("Follow \"repeat\" with a command to automatically repeat."));
return false;
}
/* cp is not a command, so parse the expression */
i = next_espace(mathomatic);
mathomatic->input_column += (cp - cp_start);
return process_parse(mathomatic, i, cp);
}
/*
* Display and process Mathomatic main prompt input.
* Used by the read command and "help examples", "help conversions", and "help geometry".
* The input string will be shortened by set_error_level().
*
* Return true if successful.
*/
int
display_process(MathoMatic* mathomatic, char *cp)
//char *cp; /* String to process; will be modified, so do not use constant strings. */
{
int len;
int nlt; /* true if cp is newline terminated */
if (cp == NULL)
return false;
#if !LIBRARY
mathomatic->error_str = NULL;
mathomatic->warning_str = NULL;
#endif
len = strlen(cp);
if (len > 0)
len--;
nlt = (cp[len] == '\n');
mathomatic->input_column = 0;
#if !SILENT || !LIBRARY
if (!mathomatic->quiet_mode) {
set_color(mathomatic, 3); /* blue prompt */
mathomatic->input_column = printf("%d%s", mathomatic->cur_equation + 1, mathomatic->html_flag ? HTML_PROMPT_STR : PROMPT_STR);
default_color(mathomatic, false);
if (mathomatic->html_flag) {
mathomatic->input_column -= (strlen(HTML_PROMPT_STR) - strlen(PROMPT_STR));
printf("<b>%s</b>", cp); /* make input bold */
} else {
printf("%s", cp);
}
if (!nlt)
printf("\n");
}
#endif
if (mathomatic->gfp != stdout && mathomatic->gfp != stderr) {
if (mathomatic->html_flag == 2) {
set_color(mathomatic, 3);
mathomatic->input_column = fprintf(mathomatic->gfp, "%d%s", mathomatic->cur_equation + 1, HTML_PROMPT_STR);
default_color(mathomatic, false);
mathomatic->input_column -= (strlen(HTML_PROMPT_STR) - strlen(PROMPT_STR));
fprintf(mathomatic->gfp, "<b>%s</b>", cp);
} else {
mathomatic->input_column = fprintf(mathomatic->gfp, "%d%s", mathomatic->cur_equation + 1, PROMPT_STR);
fprintf(mathomatic->gfp, "%s", cp);
}
if (!nlt)
fprintf(mathomatic->gfp, "\n");
}
set_error_level(mathomatic, cp);
return process(mathomatic, cp);
}
#if SHELL_OUT
/*
* Execute a shell command. Note that system(3) requires "/bin/sh".
*
* Returns exit status of command (0 if no error).
*/
int
shell_out(MathoMatic* mathomatic, char *cp)
//char *cp; /* shell command string */
{
int rv;
if (mathomatic->security_level > 0) {
error(mathomatic, _("Shelling out disabled by security level."));
return -1;
}
#if !SILENT
if (mathomatic->debug_level > 0) {
fprintf(mathomatic->gfp, _("Running shell command-line: %s\n"), cp);
}
#endif
reset_attr(mathomatic);
errno = 0;
rv = system(cp);
if (rv < 0) {
perror("system(3) call failed");
}
printf("\n");
default_color(mathomatic, false);
if (rv) {
mathomatic->show_usage = false; /* already shows enough */
}
return rv;
}
#endif
/*
* Parse a variable name with before and after space and comma character skipping.
*
* Return new position in string or NULL if error.
*/
char *
parse_var2(MathoMatic* mathomatic, long *vp, char *cp)
//long *vp; /* pointer to returned variable in Mathomatic internal format */
//char *cp; /* pointer to variable name string */
{
cp = skip_comma_space(cp);
cp = parse_var(mathomatic, vp, cp);
if (cp == NULL) {
return NULL;
}
return skip_comma_space(cp);
}
#if HELP
/*
* Display command usage info in color.
*
* Return number of lines displayed.
*/
int
display_usage(MathoMatic* mathomatic, char *pstr, int i)
//char *pstr; /* prefix string */
{
int len = 0;
len += fprintf(mathomatic->gfp, "%s", pstr);
set_color(mathomatic, 0);
len += fprintf(mathomatic->gfp, "%s", com_list[i].name);
default_color(mathomatic, false);
len += fprintf(mathomatic->gfp, " %s\n", com_list[i].usage);
if (mathomatic->screen_columns && len > mathomatic->screen_columns) {
return 2;
} else {
return 1;
}
}
/*
* Output command info and usage.
*
* Return the number of lines output.
*/
int
display_command(MathoMatic* mathomatic, int i)
//int i; /* command table index of command */
{
int rows = 2;
fprintf(mathomatic->gfp, "%s - %s\n", com_list[i].name, com_list[i].info);
rows += display_usage(mathomatic, "Usage: ", i);
if (com_list[i].secondary_name) {
fprintf(mathomatic->gfp, "Alternate name for this command: %s\n", com_list[i].secondary_name);
rows++;
}
if (com_list[i].extra) {
fprintf(mathomatic->gfp, "%s\n", com_list[i].extra);
rows++;
}
fprintf(mathomatic->gfp, "\n");
#if DEBUG
if (com_list[i].secondary_name && com_list[i].extra) {
error_bug(mathomatic, "Alternate name and extra info fields both set for this command, only one or the other is currently allowed.");
}
#endif
return rows;
}
/*
* Output repeat command info and usage.
*
* Return the number of lines output.
*/
int
display_repeat_command(MathoMatic* mathomatic)
{
EP(mathomatic, "repeat - Automatically repeat the following command over and over.");
fprintf(mathomatic->gfp, "Usage: ");
set_color(mathomatic, 0);
fprintf(mathomatic->gfp, "repeat");
default_color(mathomatic, false);
fprintf(mathomatic->gfp, " command arguments\n");
EP(mathomatic, "Not all commands are repeatable.\n");
return 3;
}
int
read_examples(MathoMatic* mathomatic, const char **cpp)
{
int i;
char *cp;
for (i = 0; cpp[i]; i++) {
cp = strdup(cpp[i]);
if (cp == NULL)
return false;
if (!display_process(mathomatic, cp)) {
free(cp);
return false;
}
free(cp);
}
return true;
}
/*
* Display a row of dashes to underline a title.
*/
void
underline_title(MathoMatic* mathomatic, int count)
//int count; /* length of title, including newline */
{
#if !NOT80COLUMNS
int i;
for (i = 1; i < count; i++) {
fprintf(mathomatic->gfp, "-");
}
#endif
fprintf(mathomatic->gfp, "\n");
}
/*
* The help command.
*/
int
help_cmd(MathoMatic* mathomatic, char *cp)
{
int i, j;
char *cp1;
int flag, html_out;
int row;
html_out = ((mathomatic->html_flag == 2) || (mathomatic->html_flag && mathomatic->gfp == stdout));
if (*cp == '\0') {
intro:
/* default help text: */
SP(mathomatic, "Mathomatic is a Computer Algebra System (CAS) and calculator program.");
#if !LIBRARY
SP(mathomatic, "Type \"help options\" for a list of shell command-line startup options.");
#endif
SP(mathomatic, "For helpful interactive examples, \"help examples\". For news, \"help news\".");
SP(mathomatic, "Type \"help equations\" for help with entering expressions and equations.");
SP(mathomatic, "Type \"help all\" for a summary of all commands or \"help usage\" just for syntax.");
SP(mathomatic, "Other help topics: constants, color, license, bugs, geometry, or conversions.");
SP(mathomatic, "\"help\" or \"?\" followed by a command name will give info on that command.");
fprintf(mathomatic->gfp, "These are the %d commands for this version of Mathomatic:\n", ARR_CNT(com_list));
set_color(mathomatic, 0);
for (i = 0; i < ARR_CNT(com_list); i++) {
if ((i % 5) == 0)
fprintf(mathomatic->gfp, "\n");
j = 15 - fprintf(mathomatic->gfp, "%s", com_list[i].name);
for (; j > 0; j--)
fprintf(mathomatic->gfp, " ");
}
default_color(mathomatic, false);
SP(mathomatic, "\n\nTo see what is allowed at the main prompt, type \"help main\".");
EP(mathomatic, "For more help, go to the official website: www.mathomatic.org");
} else if (strcasecmp(cp, "table") == 0) {
fprintf(mathomatic->gfp, "Mathomatic version %s Quick Reference Card\n", VERSION);
fprintf(mathomatic->gfp, "Command\tUsage\tNotes\n");
for (i = 0; i < ARR_CNT(com_list); i++) {
fprintf(mathomatic->gfp, "%s", com_list[i].name);
fprintf(mathomatic->gfp, "\t%s %s", com_list[i].name, com_list[i].usage);
if (com_list[i].secondary_name) {
fprintf(mathomatic->gfp, "\tAlternate name for this command: %s", com_list[i].secondary_name);
} else if (com_list[i].extra) {