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authorGravatar Dietrich <dgeisler50@gmail.com>2015-05-04 18:10:09 -0600
committerGravatar Dietrich <dgeisler50@gmail.com>2015-05-04 18:10:09 -0600
commited8913170a86b73dc14ba09e40de1eba0cad4c9d (patch)
tree804dbb9ec113b3a8f20a532b0eafd852ee65973f /Source/Basetypes
parentd213a71b16a344dab7ac5d08507668abebffd21e (diff)
added general floating point mantissa and exponent management
Diffstat (limited to 'Source/Basetypes')
-rw-r--r--Source/Basetypes/BigFloat.cs78
1 files changed, 47 insertions, 31 deletions
diff --git a/Source/Basetypes/BigFloat.cs b/Source/Basetypes/BigFloat.cs
index d1ee73a4..7c8b6001 100644
--- a/Source/Basetypes/BigFloat.cs
+++ b/Source/Basetypes/BigFloat.cs
@@ -25,11 +25,13 @@ namespace Microsoft.Basetypes
// the internal representation
[Rep]
- internal readonly BIM mantissa; //TODO: restrict mantissa to be 23-bits wide
+ internal readonly BIM mantissa; //TODO: restrict mantissa. Note that mantissa includes the sign
[Rep]
internal readonly int exponent; //TODO: restrict exponent to be 8-bits wide
[Rep]
- internal readonly Boolean isNegative; //represents the sign bit
+ internal readonly int mantissaSize; //Represents the maximum size of the mantissa
+ [Rep]
+ internal readonly int exponentSize; //Represents the maximum size of the exponent
public BIM Mantissa {
get {
@@ -43,9 +45,24 @@ namespace Microsoft.Basetypes
}
}
+ public int MantissaSize
+ {
+ get
+ {
+ return mantissaSize;
+ }
+ }
+
+ public int ExponentSize
+ {
+ get
+ {
+ return exponentSize;
+ }
+ }
+
public static readonly BigFloat ZERO = FromInt(0);
private static readonly BIM two = new BIM(2);
- private static readonly BIM ten = new BIM(10);
////////////////////////////////////////////////////////////////////////////
@@ -56,17 +73,21 @@ namespace Microsoft.Basetypes
[Pure]
public static BigFloat FromInt(int v) {
- return new BigFloat(v, 0, v < 0); //TODO: modify for correct fp representation
+ return new BigFloat(v, 0, 23, 8); //TODO: modify for correct fp representation
}
[Pure]
public static BigFloat FromBigInt(BIM v) {
- return new BigFloat(v, 0, v < 0); //TODO: modify for correct fp representation
+ return new BigFloat(v, 0, 23, 8); //TODO: modify for correct fp representation
+ }
+
+ public static BigFloat FromBigDec(BIM v)
+ {
+ return new BigFloat(v, 0, 23, 8); //TODO: modify for correct fp representation
}
[Pure]
public static BigFloat FromString(string v) {
- //TODO: completely copied from BigDec.cs at the moment
if (v == null) throw new FormatException();
BIM integral = BIM.Zero;
@@ -95,30 +116,25 @@ namespace Microsoft.Basetypes
if (!fraction.IsZero) {
while (fractionLen > 0) {
- integral = integral * ten;
+ integral = integral * two;
exponent = exponent - 1;
fractionLen = fractionLen - 1;
}
}
- return new BigFloat(integral - fraction, exponent, integral.Sign == -1);
+ return new BigFloat(integral - fraction, exponent, 23, 8);
}
- internal BigFloat(BIM mantissa, int exponent, bool isNegative) {
- this.isNegative = isNegative;
- if (mantissa.IsZero) {
- this.mantissa = mantissa;
- this.exponent = 0;
- }
- else {
- while (mantissa % ten == BIM.Zero) { //TODO: get this to work as expected :P
- mantissa = mantissa / ten;
- exponent = exponent + 1;
- }
- this.mantissa = mantissa;
- this.exponent = exponent;
- }
+ internal BigFloat(BIM mantissa, int exponent, int mantissaSize, int exponentSize) {
+ this.mantissaSize = mantissaSize;
+ this.exponentSize = mantissaSize;
+ this.mantissa = mantissa;
+ this.exponent = exponent;
}
+ private int maxMantissa() { return (int)Math.Pow(2, mantissaSize); }
+ private int maxExponent() { return (int)Math.Pow(2, exponentSize); }
+
+
////////////////////////////////////////////////////////////////////////////
// Basic object operations
@@ -166,13 +182,13 @@ namespace Microsoft.Basetypes
} else if (0 <= e) {
// it's an integer
for (; 0 < e; e--) {
- n = n * ten;
+ n = n * two;
}
floor = ceiling = n;
} else {
// it's a non-zero integer, so the ceiling is one more than the floor
for (; e < 0 && !n.IsZero; e++) {
- n = n / ten; // Division rounds towards negative infinity
+ n = n / two; // Division rounds towards negative infinity
}
if (this.mantissa >= 0) {
@@ -280,7 +296,7 @@ namespace Microsoft.Basetypes
public BigFloat Abs {
//TODO: fix for fp functionality
get {
- return new BigFloat(BIM.Abs(this.mantissa), this.exponent, false);
+ return new BigFloat(BIM.Abs(this.mantissa), this.exponent, this.mantissaSize, this.exponentSize);
}
}
@@ -288,7 +304,7 @@ namespace Microsoft.Basetypes
public BigFloat Negate {
//TODO: Modify for correct fp functionality
get {
- return new BigFloat(BIM.Negate(this.mantissa), this.exponent, this.Mantissa >= 0);
+ return new BigFloat(BIM.Negate(this.mantissa), this.exponent, this.mantissaSize, this.exponentSize);
}
}
@@ -312,11 +328,11 @@ namespace Microsoft.Basetypes
}
while (e2 > e1) {
- m2 = m2 * ten;
+ m2 = m2 * two;
e2 = e2 - 1;
}
- return new BigFloat(m1 + m2, e1, true);
+ return new BigFloat(m1 + m2, e1, Math.Max(x.MantissaSize, y.MantissaSize), Math.Max(x.ExponentSize, y.ExponentSize));
}
[Pure]
@@ -327,7 +343,7 @@ namespace Microsoft.Basetypes
[Pure]
public static BigFloat operator *(BigFloat x, BigFloat y) {
//TODO: modify for correct fp functionality
- return new BigFloat(x.mantissa * y.mantissa, x.exponent + y.exponent, false);
+ return new BigFloat(x.mantissa * y.mantissa, x.exponent + y.exponent, Math.Max(x.MantissaSize, y.MantissaSize), Math.Max(x.ExponentSize, y.ExponentSize));
}
@@ -342,13 +358,13 @@ namespace Microsoft.Basetypes
public bool IsNegative {
get {
- return (isNegative);
+ return (this.mantissa < BIM.Zero);
}
}
public bool IsZero {
get {
- return this.mantissa.IsZero;
+ return this.mantissa.IsZero && this.exponent == 0;
}
}