test.kaos

import math

// Mathematical Constants
str title1 = "# Mathematical Constants\n"
print title1
num pi = math.pi()
echo "pi: "
print pi
num e = math.e()
echo "e: "
print e
num golden_ratio = math.golden_ratio()
echo "golden_ratio: "
print golden_ratio
num inf = math.inf()
echo "inf: "
print inf
num nan = math.nan()
echo "nan: "
print nan

// Trigonometric Functions
str title2 = "\n\n# Trigonometric Functions\n"
print title2
echo "cos: "
print math.cos(60)
echo "sin: "
print math.sin(30)
echo "tan: "
print math.tan(45)
echo "acos: "
print math.acos(0.5)
echo "asin: "
print math.asin(0.5)
echo "atan: "
print math.atan(1.0)
echo "atan2: "
print math.atan2(-10.0, 10.0)

// Hyperbolic Functions
str title3 = "\n\n# Hyperbolic Functions\n"
print title3
echo "cosh: "
print math.cosh(0.693147)
echo "sinh: "
print math.sinh(0.693147)
echo "tanh: "
print math.tanh(0.693147)
echo "acosh: "
print math.acosh(3.762196)
echo "asinh: "
print math.asinh(3.626860)
echo "atanh: "
print math.atanh(0.761594)

// Exponential and Logarithmic Functions
str title4 = "\n\n# Exponential and Logarithmic Functions\n"
print title4
echo "exp: "
print math.exp(5)
num dict frexp = math.frexp(8)
echo "frexp mantissa: "
print frexp['mantissa']
echo "frexp exponent: "
print frexp['exponent']
echo "ldexp: "
print math.ldexp(0.95, 4)
echo "ln: "
print math.ln(5.5)
echo "log: "
print math.log(81, 3)
echo "log1p: "
print math.log1p(1.0)
echo "log2: "
print math.log2(1024.0)
echo "log10: "
print math.log10(1000)
num dict modf = math.modf(3.141593)
echo "modf integer: "
print modf['integer']
echo "modf fraction: "
print modf['fraction']
echo "expm1: "
print math.expm1(1.0)

// Power Functions
str title5 = "\n\n# Power Functions\n"
print title5
echo "pow: "
print math.pow(2, 3)
echo "sqrt: "
print math.sqrt(1024)
echo "cbrt: "
print math.cbrt(27)
echo "hypot: "
print math.hypot(3.0, 4.0)

// Error and Gamma Functions
str title6 = "\n\n# Error and Gamma Functions\n"
print title6
echo "erf: "
print math.erf(1.0)
echo "erfc: "
print math.erfc(1.0)
echo "gamma: "
print math.gamma(0.5)
echo "lgamma: "
print math.lgamma(0.5)

// Rounding and Remainder Functions
str title7 = "\n\n# Rounding and Remainder Functions\n"
print title7
echo "ceil: "
print math.ceil(3.8)
echo "ceil: "
print math.ceil(-3.8)
echo "floor: "
print math.floor(5.6)
echo "floor: "
print math.floor(-5.6)
echo "mod: "
print math.mod(23, 4)
echo "fmod: "
print math.fmod(18.5, 4.2)
echo "trunc: "
print math.trunc(3.8)
echo "trunc: "
print math.trunc(-3.8)
echo "round: "
print math.round(3.8)
echo "round: "
print math.round(-3.8)
echo "remainder: "
print math.remainder(18.5, 4.2)
num dict remquo = math.remquo(10.3, 4.5)
echo "remquo remainder: "
print remquo['remainder']
echo "remquo quotient: "
print remquo['quotient']

// Floating-point Manipulation Functions
str title8 = "\n\n# Floating-point manipulation functions\n"
print title8
echo "copysign: "
print math.copysign(-10.0, -1.0)

// Other Functions
str title9 = "\n\n# Other Functions\n"
print title9
echo "abs: "
print math.abs(3.1416)
echo "abs: "
print math.abs(-10.6)
echo "factorial: "
print math.factorial(5)
echo "factorial: "
print math.factorial(-5)

// Boolean Functions
str title10 = "\n\n# Boolean Functions\n"
print title10
echo "is_finite: "
print math.is_finite(0.0)
echo "is_finite: "
print math.is_finite(1.0 / 0.0)
echo "is_inf: "
print math.is_inf(0.0)
echo "is_inf: "
print math.is_inf(1.0 / 0.0)
echo "is_nan: "
print math.is_nan(0.0)
echo "is_nan: "
num nan_example = math.sqrt(-1.0)
print math.is_nan(nan_example)
echo "is_normal: "
print math.is_normal(1.0)
echo "is_normal: "
print math.is_normal(0.0)
echo "is_normal: "
print math.is_normal(1.0 / 0.0)
echo "is_positive: "
print math.is_positive(1.0)
echo "is_positive: "
print math.is_positive(-1.0)
echo "is_negative: "
print math.is_negative(1.0)
echo "is_negative: "
print math.is_negative(-1.0)