math-cx/math.cx at master · galah4d/math-cx · GitHub

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package math

/* Mathematical constants */

// The mathematical constant pi with 10 decimals precision.
var PI f64 = 3.1415926536D

// The mathematical constant e with 10 decimals precision.
var E f64 = 2.7182818284D


/* Angular functions */

// Convert angle rad from radians to degrees.
func degrees(rad f64) (deg f64) {
	deg = f64.mul(rad, f64.div(180.0D, PI))
}

// Convert angle deg from radians to degrees.
func radians(deg f64) (rad f64) {
	rad = f64.mul(deg, f64.div(PI, 180.0D))
}


/* Power and Logarithmic funcions */
// Calculates a raised to the power of b.
func pow(base f64, exp i64) (result f64) {
	if i64.eq(exp, 0L) {
		result = 1.0D;

	} else {
		result = f64.mul(pow(base, i64.div(exp, 2L)), pow(base, i64.div(exp, 2L)));
		if (odd(exp)) {
			result = f64.mul(base, result);
		}
	}

	if i64.lt(exp, 0L) {
		result = f64.div(result, 1.0D);
	}
	return result;
}

func pow10(exp i64) (result f64) {
	result = pow(10.0D, exp);
}


/* Number representation functions */
// Returns the absolte value of n.
func abs(n f64) (result f64) {
	if gteq(n, 0.0D) {
		result = n;
	} else {
		result = f64.sub(0.0D, n);
	}
	return result;
}

// Returns the inverse value of n.
func inv(n f64) (result f64) {
	result = f64.sub(0.0D, n);
}

// Returns the largest integer value less than or equal to x.
func floor(n f64) (result i64) {
	if f64.gteq(n, 0.0D) {
		result = f64.i64(n)

	} else {
		if (f64.eq(n, i64.f64(f64.i64(n)))) {
			result = f64.i64(n)
		} else {
			result = i64.sub(f64.i64(n), 1L)
		}
	}

	return result;
}

// Returns the smallest integer value greater than or equal to x.
func ceil(n f64) (result i64) {
	if (f64.eq(n, i64.f64(f64.i64(n)))) {
		result = f64.i64(n)

	} else {
		if f64.gt(n, 0.0D) {
			result = i64.add(f64.i64(n), 1L)
		} else {
			result = f64.i64(n)
		}
	}

	return result;
}

func remainder(num i64, divisor i64) (remainder i64) {
	if i64.eq(divisor, 0L) {
		remainder = num;
	} else {
		remainder = i64.sub(num, i64.mul(divisor, i64.div(num, divisor)))
	}
}

func odd(num i64) (is_odd bool) {
	is_odd = i64.eq(mod(num, 2L), 1L)
}

func even(num i64) (is_even bool) {
	is_even = i64.eq(mod(num, 2L), 0L)
}


/* Other functions */
func sum(slice []f64) (result f64) {
	result = 0.0D;
	for i:=0; i<len(slice); i++ {
		result = f64.add(result, slice[i])
	}
	return result;
}

func min(x f64, y f64) (result f64) {
	if f64.lteq(x, y) {
		result = x;
	} else {
		result = y;
	}
}

func max(x f64, y f64) (result f64) {
	if f64.gteq(x, y) {
		result = x;
	} else {
		result = y;
	}
}

func factorial(n i64) (result i64) {
	if i64.eq(n, 0L) {
		result = 1L;
	} else {
		result = i64.mul(n, factorial(i64.sub(n, 1L)))
	}
}