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/*  English character strings used in MathXpert */
/*  Last modified 11.24.98
    This file should be viewed and translated in the ISO-Latin1 character set
    Sent to translator.
    3.19.99  added 159-162 to input_error_message
    6.27.99  added CANADIAN
    10.24.99  added error 162
    10.31.99  added dem message 8
    1.9.00    added messages 163 and 164
    1.10.00  added aem 64
    1.11.00  added input_error_message 165
    7.10.00  added input_error_message 166
    9.3.04  removed a superfluous include
    9.5.04  added input_error_message 15.
*/

#include <assert.h>
#define ENGLISH_DLL
#include "export.h"
#include "english1.h"
#include "lang.h"

/*___________________________________________________________________*/
MEXPORT_ENGLISH const char * input_error_message(int k)
{ switch (k)
   {
      case 1:  return "Input is not a polynomial.";  /* for POLYROOTS */
      case 2:  return "You must have MathXpert Calculus Assistant to use d/dx.";
      case 3:  return "You must have MathXpert Calculus Assistant to use 'integral'.";
      case 4:  return "You must have MathXpert Calculus Assistant to use 'lim'.";
      case 5:  return "You must have MathXpert Precalculus Assistant to use trig functions.";
      case 6:  return "You must have MathXpert Precalculus Assistant to use ln.";
      case 7:  return "You must have MathXpert Precalculus Assistant to use log.";
      case 8:  return "You must have MathXpert Precalculus Assistant to use $\\sum $.";
      case 9:  return "You must have MathXpert Precalculus Assistant to use indexed products";
      case 10: return "You must enter a list of equations, separated by commas";
      case 11: return "You must enter LINEAR equations.";
      case 12: return "You must enter an inequality (or inequalities)";
      case 13: return "You can't use lists here"; /* encountering ',' ,';' in graphing */
      case 14: return "You can't use matrices or vectors here";
            /* e.g. in graphing, solving equations (unless one single matrix eqn is entered) */
      case 15: return "MathXpert can't handle any more variables.";
      case 16: return "In sum(term to add,index,first,last), index must be a variable";
      case 17: return "In sum(term to add,index,first,last), first and last must be integers";
      case 18: return "In product(term to add,index,first,last), index must be a variable";
      case 19: return "In product(term to add,index,first,last), first and last must be integers.";
      case 20: return "You entered an undefined expression.";
      case 21: return "Can only take the determinant of a square matrix.";
      case 22: return "Can't take the absolute value of that expression.";
           /* e.g. matrices, vectors, equalities, inequalities,logical operators */
      case 23: return "n! is defined only if n is a non-negative integer.";
      case 24: return "floor(n) is defined only if n is an integer.";
      case 25: return "binomial(n,m) is defined only if m and n are integers.";
                        /* in MathXpert, at least; Knuth notwithstanding */
      case 26: return "gcd(n,m) is defined only for integers n and m.";
      case 27: return "In lim(x->a,u), x must be a variable.";
      case 28: return "Use notation lim(x->a,u), please."; /* if arrow is in wrong place */
      case 29: return "Use of root(n,t) requires that n be an integer.";
      case 30: return "Use of root(n,t) requires that n be positive.";
      case 31: return "Lower index can't be greater than upper index.";
      case 32: return "mod not defined for these arguments.";
      case 33: return "Your equation must be LINEAR";
      case 34: return "You can only enter one equation here, not several.";
      case 35: return "Illegal inequality symbol";
      case 36: return "Illegal vector or matrix";
      case 37: return "Illegal commas or & signs";
      case 38: return "Illegal symbol";
      case 39: return "Illegal = sign";
      case 40: return "Your input must contain at least two variables.";
      case 41: return "Left side of equation must be a variable name.";
      case 42: return "Separate the two entries by a comma, please.";
      case 43: return "Can't graph a function mentioning derivatives.";
      case 44: return "Can't graph a function mentioning limits.";
      case 45: return "Can't graph a function mentioning integrals.";
      case 46: return "Complex numbers not allowed in inequalities.";
      case 47: return "Inequalities accepted only when the topic chosen from the menus is inequalities.";
      case 48: return "Variable of integration cannot occur in limits of integral.";
      case 49: return "Summation variable cannot occur in limits of sum.";
      case 50: return "Index variable cannot occur in limits of product.";
      case 51: return "Variable of integration cannot occur outside integral.";
      case 52: return "Summation variable cannot occur outside indexed sum.";
      case 53: return "Index variable cannot occur outside indexed product.";
      case 54: return "Limit variable cannot occur outside limit expression.";
      case 55: return "Limit variable cannot occur at right of arrow.";
      case 56: return "Bound variable used two different ways.";
      case 57: return "Nested identical bound variables are illegal.";
      case 58: return "Input must be of the form y' = f(x,y)";
      case 59: return "Only two equations can be entered.";
      case 60: return "Input must be of the form x'=f(x,y), y'=g(x,y)";
      case 61: return "Input must be of the form y''... = f(x,y,y',...)";
      case 62: return "Equation must of order 5 or less.";
      case 63: return "Left side must be a second or higher order derivative.";
      case 64: return "Maybe you used diff(u,x,n) instead of diff(u,n,x)";
      case 65: return "i is the square root of -1; it can't be used as a variable of integration.";
      case 66: return "Index variable can't be used outide the sum.";
      case 67: return "Index variable can't be used outside the product.";
      case 68: return "Integration variable can't be used outside the integral.";
      case 69: return "Limit variable can't be used outside the limit.";
      case 70: return "Illegal use of variables";
      case 71: return "Integrand must be continuous between limits of integration.";
      case 72: return "Differentiating limits is beyond the scope of MathXpert.";
      case 73: return "Integrating limits is beyond the scope of MathXpert.";
      case 74: return "A limit in an indexed sum or product is beyond the scope of MathXpert.";
      case 75: return "One-sided limits at infinity are not defined, use $lim(x\\to \\infty ,u)$";
      case 76: return "Dimensions of matrix and vectors don't match properly.";
      case 77: return "Delete the equals sign--just enter the expression to differentiate.";
      case 78: return "Limits illegal here--make a different choice from initial menu.";
      case 79: return "You chose to work on limits, so a limit problem is expected.";
      case 80: return "Wrong number of commas. Enter integrand, lower, upper.";
      case 81: return "Left side of equation must be a variable or function definition.";
      case 82: return "Can't use x or y in formula for a polar graph--too misleading.";
      case 83: return "Independent variable can't occur on left side of = sign.";
      case 84: return "After turning complex numbers on, you can't use 'i' as a variable";
      case 85: return "Definitions must be of the form f(x) = ...";
      case 86: return "You can't redefine a built-in function.";
      case 87: return "You can't define a function of more than 4 variables";
      case 88: return "Warning, function is constant. If you meant it, you can proceed.";
      case 89: return "Warning, function doesn't depend on all its variables.";
      case 90: return "Too many defined functions, can't accept another one.";
      case 91: return "Too long to display on menu, break into two definitions.";
      case 92: return "in lim(x->a,u), u must be defined for x near a.";
      case 93: return "in lim(x->a+,u), u must be defined for x near a on the right";
      case 94: return "in lim(x->a-,u), u must be defined for x near a on the left";
      case 95: return "Left side of equation must be a variable or function definition.";
      case 96: return "Only one variable allowed in minmax problems";
      case 97: return "No point seeking extrema of a constant expression";
      case 98: return "Interval not properly defined";
      case 99: return "Interval contains an extra variable";
      case 100: return "Your entry contains a symbol that is illegal here.";
      case 101: return "You must enter an equation or inequality.";
      case 102: return "In root(n,x), n can't be larger than 65536.";
      case 103: return "Enter an equation like $y = x^2$ to compute y', y'', etc.";
      case 104: return "You must enter an equation or equations (separated by commas).";
      case 105: return "The integrand must be defined on the interval of integration.  Improper integrals are not allowed.  Not even removable singularities are allowed. For example, sin(x)/x cannot be integrated across zero, and sec(x) cos(x) cannot be integrated across ,or even up to, pi/2.  It is also possible that your integrand is really defined, but is too complicated for MathXpert to analyze. ";
      case 106: return "No variable of integration. Edit your problem.";
      case 107: return "Undefined lower limit of integration";
      case 108: return "Undefined upper limit of integration";
      case 109: return "No new variables allowed in auxiliary equations";
      case 110: return "No variable of summation.  Edit your problem.";
      case 111: return "Lower limit of sum must be an integer.";
      case 112: return "Upper limit of sum must be an integer.";
      case 113: return "You must use an = sign to enter an identity.";
      case 114: return "Upper limit must be greater than lower limit.";
      case 115: return "Endpoints of interval must be numerical.";
      case 116: return "Number of intervals can contain parameters, but must be a positive integer.";
      case 117: return "Specify function, left endpoint, right endpoint, number of intervals.";
      case 118: return "Can't take the floor of that expression.";
      case 119: return "Too many parameters.  The order of the differential equation plus the number of parameters cannot exceed five.";
      case 120: return "Enter two functions separated by a comma, for example cos t, sin t.  You can also use equations as in x = cos t, y = sin t.";
      case 121: return "Enter three equations.  Example:  x = cos t, y = sin t, z = t.";
      case 122: return "Illegal interval.";
      case 123: return "Enter an equation or equations, separating equations by commas.";
      case 124: return "Use only one semicolon.  After the semicolon, separate inequalities by commas.";
      case 125: return "Enter three equations in the form x = ..., y = ..., z = ...";
      case 126: return "If you specify ranges for any variables, you must specify ranges for both independent variables.";
      case 127: return "Lower limit of sum must be less than or equal to upper limit.";
      case 128: return "Either the expression is undefined for some value of the index variable, or the problem is too complicated for MathXpert to analyze the domain.";
      case 129: return "Lower limit of product must be less than or equal to upper limit.";
      case 130: return "Lower limit of product must be an integer.";
      case 131: return "Upper limit of product must be an integer.";
      case 132: return "Only integers or decimal numbers are allowed inside the degree symbol.";
      case 133: return "Enter inequalities under Graph Inequality Relation.";
      case 134: return "There must be at least two variables in the problem.";
      case 135: return "Only the variable of integration should appear as the second argument of an integral.";
      case 136: return "Instead of dt just type t";
      case 137: return "Instead of dx just type x";
      case 138: return "Instead of du just type u";
      case 139: return "You can't use e as a variable.  Choose a different letter.";
      case 140: return "You can't use i as a limit variable.  Choose a different letter.";
      case 141: return "This function is undefined for certain values arbitrarily close to the limit point, so the limit is undefined.";
      case 142: return "There must be at least one variable.";
      case 143: return "You can't use pi as a limit variable.  Choose a different letter.";
      case 144: return "You can't use a constant as a limit variable.";
      case 145: return "An integral within an integral is not allowed.  Double integrals are beyond the scope of MathXpert.";
      case 146: return "Improper integrals may not be entered under this topic.";
      case 147: return "An interval is an inequality or pair of inequalities.";
      case 148: return "The variable can only appear once in an interval.";
      case 149: return "The formula entered does not define an interval.";
      case 150: return "Only one variable can occur in an interval. Parameter are not allowed.";
      case 151: return "You must use a variable to define an interval. Example: $0 \\le  x \\le  1$.";
      case 152: return "Sorry, MathXpert cannot analyze this integral, so it cannot be accepted.";
      case 153: return "This series does not converge. You can enter it under a topic designed for testing convergence.";
      case 154: return "MathXpert cannot handle definition by cases in an improper integral.";
      case 155: return "The integrand is undefined at more than just isolated points, so the integral cannot be defined.";
      case 156: return "Please enter an infinite series.";
      case 157: return "MathXpert cannot handle definition by cases in an infinite series.";
      case 158: return "The function must be defined on the interval.";
      case 159: return "You must enter an integral, or a sum of (functions times) integrals";
      case 160: return "Double integrals cannot be entered.";
      case 161: return "You cannot enter integrals in a denominator or exponent.";
      case 162: return "Cannot mention logical constants 'true' or 'false' in a mathematical expression.";
      case 163: return "Cannot mention undefined function symbols.  First define the functions you want to use.";
      case 164: return "You cannot compare more than six graphs.  Try to write a single formula with a parameter, instead.";
      case 165: return "You mentioned a variable that does not occur in any of the equations valid for all times.  This is a mistake.";
      case 166: return "Limits containing complex numbers are not accepted.";
      case 167: return "Too many variables.";
      case 168: return "";
   }
  assert(0);  /* cases are exhaustive */
  return "illegal input";  /* avoid a warning message */
}
/*____________________________________________________________________*/
MEXPORT_ENGLISH const char * aem(int error)  /* arithmetic error message */
{  switch (error)
     { case 1:  return "I can't believe this is happening!"; /* assert(0) */
       case 2:  return "Expression has no value.";
       case 3:  return "Cannot divide by zero.";
       case 4:  return "Something is wrong with a denominator.";
       case 5:  return "0^0 is undefined.";
       case 6:  return "Even root of negative number is not real.";
       case 7:  return "Integer more than 10^308 can't be converted to decimal form.";
       case 8:  return "Value more than 10^308 cannot be handled.";
       case 9:  return "Lower limit of indexed sum is not an integer.";
       case 10: return "Upper limit of indexed sum is not an integer.";
       case 11: return "Lower limit of indexed sum is too large to do the sum.";
       case 12: return "Upper limit of indexed sum is too large to do the sum.";
       case 13: return "Non-numerical term in indexed sum.";
       case 14: return "Lower limit of indexed product is too large to do the product.";
       case 15: return "Upper limit of indexed product is too large to do the product.";
       case 16: return "Non-numerical term in indexed product.";
       case 17: return "Exponent too large to evaluate expression.";
       case 18: return "Can't evaluate because exponent contains too big a number.";
       case 19: return "Complex numbers would be required to evaluate this.";
       case 20: return "Negative number to decimal power is undefined.";
       case 21: return "0^0 is undefined.";
       case 22: return "Function called incorrectly.";
       case 23: return "Zero-th root undefined.";
       case 24: return "MathXpert can't compute a root with such a large index.";
       case 25: return "Fractional-indexed roots are undefined.";
       case 26: return "Decimal-indexed roots are undefined.";
       case 27: return "Roots with negative index are undefined.";
       case 28: return "Floor is not defined for complex numbers.";
       case 29: return "Modulus must be positive.";
       case 30: return "Modulus must be an integer.";
       case 31: return "Factorial is not defined on decimal numbers.";
       case 32: return "Factorial is defined only on integers.";
       case 33: return "Factorial is defined only for nonnegative integers.";
       case 34: return "Factorial too large to compute.";
       case 35: return "Binomial coefficients are defined only on integers.";
       case 36: return "Binomial coefficients are not defined on negative arguments.";
       case 37: return "In binomial(n,k), n cannot be less than k.";
       case 38: return "Binomial coefficient too large to compute.";
       case 39: return "can't evaluate root because index isn't an integer, or is too large";
       case 40: return "gcd is not defined for complex numbers";
       case 41: return "gcd is defined only for integers";
       case 43: return "mod is not defined for complex numbers";
       case 44: return "mod is defined only for integers";
       case 45: return "power too large or small to compute";
       case 46: return "root too large or small to compute";
       case 47: return "complex numbers required, and they are turned off";
       case 48: return "denominator too small, can't carry out division.";
       case 49: return "Out of memory.";
       case 52: return "determinant is defined only on matrices";
       case 53: return "matrix is singular";
       case 54: return "determinant only defined for matrices";
       case 55: return "only matrices of the same size can be added";
       case 56: return "matrix dimensions wrong for multiplication";
       case 57: return "vector dimensions must be the same to take dot product";
       case 58: return "attempt to invert a non-square matrix";
       case 59: return "matrix to non-integer power is undefined";
       case 60: return "Cannot divide by a matrix.";
       case 61: return "Cannot divide by a vector.";
       case 62: return "Computation stopped by user.";
       case 63: return "Cannot compute determinant unless all entries are numbers.";
       case 64: return "Entries must be integers or rational numbers.";
       default: return "Unanticipated arithmetic error.";
     }
}

/*________________________________________________________________*/
MEXPORT_ENGLISH const char * dem(int error)  /* deval error message */
{  switch (error)
     { case 1:  assert(0);  /* non-evaluable functor--no message */
       case 2:  return "Integer too large to convert to decimal form.";
       case 3:  return "Large argument to trig function can't be accurately computed.";
       case 4:  return "Domain error, trig function undefined.";
       case 5:  return "Can't compute log of negative number.";
       case 6:  return "Can't compute ln of negative number.";
       case 7:  return "Can't compute square root of negative number.";
       case 8:  return "0^0 is undefined";
       case 9:  return "Can't divide by zero.";
       case 10: return "Error computing power.";
       case 11: return "Error computing root.";
       case 12: assert(0);  /* Don't translate this */
       case 13: /* fall-through-- don't translate this */
       case 14:
       case 15: return "Index error in sigma notation.";
       case 16: return "Binomial coefficient too big.";
       case 17: return "Second argument of binomial coefficient must be an integer.";
       case 18: return "Factorial too large to compute."; /* ln(n!) not a double */
       case 19: return "Factorial defined only for nonnegative integers.";
       case 20: return "Wrong arguments to mod.";
       case 21: return "Can't compute Bessel function at singularity.";
       case 22: return "Base of logarithms must be positive.";
       case 23: return "Logarithms are only defined for positive numbers.";
       case 24: return "Logarithms to base 1 are not defined.";
       case 25: return "Logarithm to that small base too large to compute.";
       case 26: return "Gamma function not defined at negative integers.";
       case 27: return "Domain error computing incomplete gamma function.";
       case 28: return "Beta function defined only for nonnegative arguments.";
       case 29: return "In exponential integral, n must be an integer $\\ge  0$";
       case 30: return "Value too large in computing exponential integral.";
       case 31: return "Argument must be positive in exponential integral.";
       case 32: return "arccosh(x) defined only for $x \\ge  1$";
       case 33: return "arctanh(x) defined only for |x| < 1";
       case 34: return "arccoth(x) defined only for |x| > 1";
       case 35: return "arcsech(x) defined only for $0 < x \\le  1$";
       case 36: return "Digamma function not defined at negative integers";
       case 37: return "Insufficient memory to complete numerical computation.";
       case 38: return "arccos x defined only for $|x| \\le  1$";
       case 39: return "arcsin x defined only for $|x| \\le  1$";
       case 40: return "arcsec x defined only for $|x| \\ge  1$";
       case 41: return "arccsc x defined only for $|x| \\ge  1$";
       case 42: return "Value of exponential function too large.";
       case 43: return "Value of sinh too large.";
       case 44: return "Value of cosh too large.";
       case 45: return "Value too large when multiplying decimal numbers.";
       case 46: return "Value too large when adding decimal numbers.";
       case 47: return "Value too large or too small when dividing decimal numbers.";
       case 48: return "Value of binomial coefficient too large to represent in decimal form.";
       case 49: return "Value of beta function too large to represent in decimal form.";
       case 50: return "Value of sum too large to represent in decimal form.";
       case 51: return "Value of product too large to represent in decimal form.";
       case 52: return "coth undefined at zero.";
       case 53: return "csch undefined at zero.";
       default: return "Unanticipated computation error";  /* safer than assert(0) */
     }
}
/*____________________________________________________________________*/
MEXPORT_ENGLISH const char * LanguageName(int n)
/* Return names of different languages.  The input is one of the
language identifiers in natlang.h, such as ENGLISH, FRENCH,...
On illegal input it just returns "English".
*/
{ switch(n)
     { case ENGLISH:  return "English";
       case FRENCH:   return "French";
       case CANADIAN: return "Canadian French";
       case GERMAN:   return "German";
       case SPANISH:  return "Spanish";
       case DUTCH:    return "Dutch";
       case SWEDISH:  return "Swedish";
       case PORTUGESE: return "Portugese";
       case ITALIAN:  return "Italian";
       case RUSSIAN:  return "Russian";
       case JAPANESE: return "Japanese";
       case CHINESE:  return "Chinese";
       default:       return "English";
     }
}


 /*___________________________________________________________________*/
MEXPORT_ENGLISH const char * month(int n)
/* Return the English name of the n-th month 0-11 */
{ switch(n)
     { case 0:  return "January";
       case 1:  return "February";
       case 2:  return "March";
       case 3:  return "April";
       case 4:  return "May";
       case 5:  return "June";
       case 6:  return "July";
       case 7:  return "August";
       case 8:  return "September";
       case 9:  return "October";
       case 10: return "November";
       case 11: return "December";
       default: assert(0);
     }
  return "";  /* avoid a warning message */
}

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