Synopsis

integer*8 function evaluator_create (string) character(len=*) ::
string end function evaluator_create

Description

Create evaluator object from string containing mathematical representation of function. Evaluator object could be used later to evaluate function for specific variable values or to calculate function derivative over some variable.

String representation of function is allowed to consist of decimal numbers, constants, variables, elementary functions, unary and binary operations.

Supported constants are (names that should be used are given in parenthesis): e (e), log2(e) (log2e), log10(e) (log10e), ln(2) (ln2), ln(10) (ln10), pi (pi), pi / 2 (pi_2), pi / 4 (pi_4), 1 / pi (1_pi), 2 / pi (2_pi), 2 / sqrt(pi) (2_sqrtpi), sqrt(2) (sqrt) and sqrt(1 / 2) (sqrt1_2).

Variable name is any combination of alphanumericals and _ characters beginning with a non-digit that is not elementary function name.

Supported elementary functions are (names that should be used are given in parenthesis): exponential (exp), logarithmic (log), square root (sqrt), sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (csc), inverse sine (asin), inverse cosine (acos), inverse tangent (atan), inverse cotangent (acot), inverse secant (asec), inverse cosecant (acsc), hyperbolic sine (sinh), cosine (cosh), hyperbolic tangent (tanh), hyperbolic cotangent (coth), hyperbolic secant (sech), hyperbolic cosecant (csch), hyperbolic inverse sine (asinh), hyperbolic inverse cosine (acosh), hyperbolic inverse tangent (atanh), hyperbolic inverse cotangent (acoth), hyperbolic inverse secant (asech), hyperbolic inverse cosecant (acsch), absolute value (abs), Heaviside step function (step) with value 1 defined for x = 0, Dirac delta function with infinity (delta) and not-a-number (nandelta) values defined for x = 0, error function (erf) and min (min) and max (max) functions.

Supported unary operation is unary minus ('-').

Supported binary operations are addition ('+'), subtraction ('+'), multiplication ('*'), division multiplication ('/') and exponentiation ('^').

Usual mathematical rules regarding operation precedence apply. Parenthesis ('(' and ')') could be used to change priority order.

Blanks and tab characters are allowed in string representing function; newline characters must not appear in this string.

Return value

Positive 64-bit integer representing evaluator object unique handle if operation successful, 0 otherwise. Return value should be used only to pass it to other functions from library.

See also

evaluator_destroy, evaluator_evaluate, evaluator_get_string_length, evaluator_get_string_chars, evaluator_get_variables_length, evaluator_get_variables_chars, evaluator_derivative