Function Name: ugaFunc Inputs: 1. (char) A string representation of a math funct
ID: 664508 • Letter: F
Question
Function Name: ugaFunc
Inputs:
1. (char) A string representation of a math function
2. (double) A value at which to evaluate the function
Outputs:
1. (double) The value of the function at the given value
Function Description:
Given a math function and a value, you want to write a MATLAB function that evaluates the math function at that value. Except your function must use the math skills taught at u[sic]ga. That is, your function completely ignores order of operations and parentheses, and it evaluates all operators strictly left-to-right. You are guaranteed to only have +, -, *, /, and ^ as operators in the function. The left-hand side of the input function will always follow the form:
functionName(varName) =
There will always be one and only one operator between each number and/or variable in the input function. There will also not be any leading operators. The value that you evaluate the function at will always be greater than or equal to zero.
Notes:
Extraneous spaces in the input string should not mess up your function
The variable name can be multiple characters long
There will be no square brackets in the input string, but it may have parentheses (which you will ignore)
Hints:
You might find the strrep() function helpful
Explanation / Answer
help elfun Elementary math functions. Trigonometric. sin - Sine. sind - Sine of argument in degrees. sinh - Hyperbolic sine. asin - Inverse sine. asind - Inverse sine, result in degrees. asinh - Inverse hyperbolic sine. cos - Cosine. cosd - Cosine of argument in degrees. cosh - Hyperbolic cosine. acos - Inverse cosine. acosd - Inverse cosine, result in degrees. acosh - Inverse hyperbolic cosine. tan - Tangent. tand - Tangent of argument in degrees. tanh - Hyperbolic tangent. atan - Inverse tangent. atand - Inverse tangent, result in degrees. atan2 - Four quadrant inverse tangent. atanh - Inverse hyperbolic tangent. sec - Secant. secd - Secant of argument in degrees. sech - Hyperbolic secant. asec - Inverse secant. asecd - Inverse secant, result in degrees. asech - Inverse hyperbolic secant. csc - Cosecant. cscd - Cosecant of argument in degrees. csch - Hyperbolic cosecant. acsc - Inverse cosecant. acscd - Inverse cosecant, result in degrees. acsch - Inverse hyperbolic cosecant. cot - Cotangent. cotd - Cotangent of argument in degrees. coth - Hyperbolic cotangent. acot - Inverse cotangent. acotd - Inverse cotangent, result in degrees. acoth - Inverse hyperbolic cotangent. hypot - Square root of sum of squares. Exponential. exp - Exponential. expm1 - Compute exp(x)-1 accurately. log - Natural logarithm. log1p - Compute log(1+x) accurately. log10 - Common (base 10) logarithm. log2 - Base 2 logarithm and dissect floating point number. pow2 - Base 2 power and scale floating point number. realpow - Power that will error out on complex result. reallog - Natural logarithm of real number. realsqrt - Square root of number greater than or equal to zero. sqrt - Square root. nthroot - Real n-th root of real numbers. nextpow2 - Next higher power of 2. Complex. abs - Absolute value. angle - Phase angle. complex - Construct complex data from real and imaginary parts. conj - Complex conjugate. imag - Complex imaginary part. real - Complex real part. unwrap - Unwrap phase angle. isreal - True for real array. cplxpair - Sort numbers into complex conjugate pairs. Rounding and remainder. fix - Round towards zero. floor - Round towards minus infinity. ceil - Round towards plus infinity. round - Round towards nearest integer. mod - Modulus (signed remainder after division). rem - Remainder after division. sign - Signum.
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