Migrated floatbase to bigdecimal

src/quantity/scalar/floatbase.rs

@@ -1,7 +1,7 @@
-use rug::Float;
+use bigdecimal::BigDecimal;
-use rug::Assign;
+use bigdecimal::Zero;
-use rug::ops::AssignRound;
+use bigdecimal::RoundingMode;
-use rug::ops::Pow;
+use std::str::FromStr;
 
 use std::ops::{
 	Add, Sub, Mul, Div,
@@ -14,158 +14,203 @@ use std::ops::{
 use std::cmp::Ordering;
 
 use super::ScalarBase;
-use super::PRINT_LEN;
+use super::SHOW_SIG;
-use super::FLOAT_PRECISION;
+use super::MAX_LEN;
 
 #[derive(Debug)]
 #[derive(Clone)]
 pub struct FloatBase where {
-	pub val: Float
+	pub val: BigDecimal
 }
 
 impl FloatBase {
-	pub fn from<T>(a: T) -> Option<FloatBase> where
+	pub fn new(s: &str) -> FloatBase {
-		Float: Assign<T> + AssignRound<T>
+		return FloatBase {
-	{
+			val: s.parse().unwrap()
-		let v = Float::with_val(FLOAT_PRECISION, a);
+		};
-		return Some(FloatBase{ val: v });
 	}
 }
 
+
 impl ToString for FloatBase {
 	fn to_string(&self) -> String {
-		let (sign, mut string, exp) = self.val.to_sign_string_exp(10, Some(PRINT_LEN));
+		// Decimal, looks like xxx.xxx.
+		// May start with a zero.
+		let mut s = self.val.to_string();
 
-		// zero, nan, or inf.
+		// Remove negative sign from string
-		let sign = if sign {"-"} else {""};
+		let neg = s.starts_with("-");
-		if exp.is_none() { return format!("{sign}{string}"); }
+		if neg { s = String::from(&s[1..]); }
-		let exp = exp.unwrap();
 		
-		// Remove trailing zeros.
+		// Power of ten
-		// At this point, string is guaranteed to be nonzero.
+		let mut p: i32 = {
-		while string.chars().last().unwrap() == '0' {
+			if let Some(x) = s.find(".") {
-			string.remove(string.len() - 1);
+				x as i32
-		}
-
-		let exp_u: usize;
-
-		if exp < 0 {
-			exp_u = (-exp).try_into().unwrap()
 			} else {
-			exp_u = exp.try_into().unwrap()
+				s.len() as i32
+			}
+		};
+		p -= 1;
+
+		// We no longer need a decimal point in our string.
+		// also, trim off leading zeros and adjust power.
+		let mut s: &str = &s.replace(".", "");
+		s = &s[0..];
+		s = s.trim_end_matches('0');
+		while s.starts_with('0') {
+			s = &s[1..];
+			p -= 1;
 		}
 
-		if exp_u >= PRINT_LEN {
-			// Exponential notation
-			let pre = &string[0..1];
-			let post = &string[1..];
 
-			format!(
+		// Pick significant digits and round
-				"{pre}{}{post}e{}",
+		let mut s = String::from(s);
-				if post.len() != 0 {"."} else {""},
+		if s.len() > SHOW_SIG {
-				//if exp > 0 {"+"} else {""},
+			let round;
-				exp - 1
+			if s.len() != SHOW_SIG + 1 {
-			)
+				round = s[SHOW_SIG..SHOW_SIG+1].parse().unwrap();
+			} else { round = 0; }
+
+			s = String::from(&s[0..SHOW_SIG]);
+
+			if round >= 5 {
+				let new = s[s.len()-1..s.len()].parse::<u8>().unwrap() + 1u8;
+				if new != 10 {
+					s = format!("{}{new}", &s[0..s.len()-1]);
+				}
+			}
+		}
+
+		s = format!("{s}{}", "0".repeat(SHOW_SIG - s.len()));
+		// at this point, s is guaranteed to have exactly SHOW_SIG digits.
+
+		let neg = if neg {"-"} else {""};
+
+		if (p.abs() as usize) < MAX_LEN {
+			if p >= 0 {
+				let q = p as usize;
+
+				let first = &s[0..q+1];
+				let mut rest = &s[q+1..];
+				rest = rest.trim_end_matches('0');
+				if rest == "" {
+					return format!("{neg}{first}");
 				} else {
-			if exp <= 0 { // Decimal, needs `0.` and leading zeros
+					return format!("{neg}{first}.{rest}");
-				format!(
-					"{sign}0.{}{string}",
-					"0".repeat(exp_u)
-				)
-			} else if exp_u < string.len() { // Decimal, needs only `.`
-				format!(
-					"{sign}{}.{}",
-					&string[0..exp_u],
-					&string[exp_u..]
-				)
-			} else { // Integer, needs trailing zeros
-				format!(
-					"{sign}{string}{}",
-					"0".repeat(exp_u - string.len())
-				)
 				}
+			} else {
+				let q = p.abs() as usize;
+				let t = format!("0.{}{s}", "0".repeat(q-1));
+				return format!("{neg}{}", t.trim_end_matches('0'));
 			}
 
+		// Print full scientific notation
+		} else {
+			let first = &s[0..1];
+			let mut rest = &s[1..];
+			rest = rest.trim_end_matches('0');
+			if rest == "" {
+				return format!("{neg}{first}e{p}");
+			} else {
+				return format!("{neg}{first}.{rest}e{p}");
+			}
+		}
 	}
 }
 
 
-macro_rules! foward {
-	( $x:ident ) => {
-		fn $x(&self) -> Option<FloatBase> {
-			Some(FloatBase{ val: self.val.clone().$x()})
-		}
-	}
-}
 
 impl ScalarBase for FloatBase {
 
-	fn from_f64(f: f64) -> Option<FloatBase> {
-		let v = Float::with_val(FLOAT_PRECISION, f);
-		return Some(FloatBase{ val: v });
-	}
-
 	fn from_string(s: &str) -> Option<FloatBase> {
-		let v = Float::parse(s);
+		let v = BigDecimal::from_str(s);
 		let v = match v {
 			Ok(x) => x,
 			Err(_) => return None
 		};
 
-		return Some(
+		return Some(FloatBase{ val: v });
-			FloatBase{ val:
-				Float::with_val(FLOAT_PRECISION, v)
-			}
-		);
 	}
 
-	foward!(fract);
+	//foward!(fract);
 
 	fn is_zero(&self) -> bool {self.val.is_zero()}
-	fn is_one(&self) -> bool {self.val == Float::with_val(FLOAT_PRECISION, 1)}
+	fn is_one(&self) -> bool {self.val == BigDecimal::from_str("1").unwrap()}
-	fn is_negative(&self) -> bool { self.val.is_sign_negative() }
+	fn is_negative(&self) -> bool { self.val.sign() == num::bigint::Sign::Minus }
-	fn is_positive(&self) -> bool { self.val.is_sign_positive() }
+	fn is_positive(&self) -> bool { self.val.sign() == num::bigint::Sign::Plus }
 
-	fn is_int(&self) -> bool {
+	fn is_int(&self) -> bool { self.val.is_integer() }
-		self.fract() == FloatBase::from_f64(0f64)
+
+	fn abs(&self) -> Option<FloatBase> { Some(FloatBase{ val: self.val.abs() }) }
+	fn round(&self) -> Option<FloatBase> { Some(FloatBase{ val: self.val.round(0) }) }
+
+	fn floor(&self) -> Option<FloatBase> {
+		let (_, scale) = self.val.as_bigint_and_exponent();
+		Some(FloatBase{ val: self.val.with_scale_round(scale, RoundingMode::Down) })
 	}
 
-	foward!(abs);
+	fn ceil(&self) -> Option<FloatBase> {
-	foward!(floor);
+		let (_, scale) = self.val.as_bigint_and_exponent();
-	foward!(ceil);
+		Some(FloatBase{ val: self.val.with_scale_round(scale, RoundingMode::Up) })
-	foward!(round);
-
-	foward!(sin);
-	foward!(cos);
-	foward!(tan);
-	foward!(csc);
-	foward!(sec);
-	foward!(cot);
-	foward!(asin);
-	foward!(acos);
-	foward!(atan);
-
-	foward!(sinh);
-	foward!(cosh);
-	foward!(tanh);
-	foward!(csch);
-	foward!(sech);
-	foward!(coth);
-	foward!(asinh);
-	foward!(acosh);
-	foward!(atanh);
-
-	foward!(exp);
-	foward!(ln);
-	foward!(log10);
-	foward!(log2);
-
-	fn log(&self, base: FloatBase) -> Option<FloatBase> {
-		Some(FloatBase{ val: self.val.clone().log10() } / base.log10().unwrap())
 	}
 
-	fn pow(&self, base: FloatBase) -> Option<FloatBase> {
+	fn fract(&self) -> Option<FloatBase> { Some(self.clone() - self.floor().unwrap()) }
-		Some(FloatBase{ val: self.val.clone().pow(base.val)})
+
+
+	fn sin(&self) -> Option<FloatBase> {
+		let c0: BigDecimal = "1.276278962".parse().unwrap();
+		let c1: BigDecimal = "-.285261569".parse().unwrap();
+		let c2: BigDecimal = "0.009118016".parse().unwrap();
+		let c3: BigDecimal = "-.000136587".parse().unwrap();
+		let c4: BigDecimal = "0.000001185".parse().unwrap();
+		let c5: BigDecimal = "-.000000007".parse().unwrap();
+		
+
+		// z should be between -0.25 to 0.25 (percent of a full circle)
+		let z: BigDecimal = self.val.clone() / 360f64;
+		let w = BigDecimal::from(4) * z;
+		let x: BigDecimal = 2 * w.clone() * w.clone() - 1;
+
+		let p = (
+			c0 * 1 +
+			c1 * x.clone() +
+			c2 * (2 * x.clone()*x.clone() - 1) +
+			c3 * (4 * x.clone()*x.clone()*x.clone() - 3 * x.clone()) +
+			c4 * (8 * x.clone()*x.clone()*x.clone()*x.clone() - 8 * x.clone()*x.clone() + 1) +
+			c5 * (16 * x.clone()*x.clone()*x.clone()*x.clone()*x.clone() - 20 * x.clone()*x.clone()*x.clone() + 5 * x.clone())
+		) * w;
+
+		return Some(FloatBase{ val: p })
+	}
+	fn cos(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn tan(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn csc(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn sec(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn cot(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn asin(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn acos(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn atan(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn sinh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn cosh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn tanh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn csch(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn sech(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn coth(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn asinh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn acosh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn atanh(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn exp(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn ln(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn log10(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+	fn log2(&self) -> Option<FloatBase> { Some(FloatBase{ val: "1".parse().unwrap() }) }
+
+
+	fn log(&self, _base: FloatBase) -> Option<FloatBase> {
+		Some(FloatBase{ val: "1".parse().unwrap() })
+	}
+
+	fn pow(&self, _base: FloatBase) -> Option<FloatBase> {
+		Some(FloatBase{ val: "1".parse().unwrap() })
 	}
 
 }
@@ -223,7 +268,7 @@ impl Div for FloatBase {
 
 impl DivAssign for FloatBase where {
 	fn div_assign(&mut self, other: Self) {
-		self.val /= other.val;
+		self.val = self.val.clone() / other.val;
 	}
 }
 
@@ -240,11 +285,11 @@ impl Rem<FloatBase> for FloatBase {
 
 	fn rem(self, modulus: FloatBase) -> Self::Output {
 		if {
-			(!self.fract().unwrap().is_zero()) ||
+			(!self.is_int()) ||
-			(!modulus.fract().unwrap().is_zero())
+			(!modulus.is_int())
 		} { panic!() }
 
-		FloatBase{val : self.val.trunc() % modulus.val.trunc()}
+		FloatBase{val : self.val.round(0) % modulus.val.round(0)}
 	}
 }