JPP: Added some flags and todo list for cheese odeur number refactoring

nx01-jpp0-collections2/src/main/java/ᒢᣘᐧᐧ/ᒼᐤᒻᒻᓫᒼᐪᑊᐤᣕᔆᒾ/ArrayLadderOpen.java

@@ -47,7 +47,8 @@ import ᒢᣘᐧᐧ.ᒼᐤᒻᒻᓫᒼᐪᑊᐤᣕᔆᒾ.ᣗᐤᣖᓫ.RopeLadder
 /// @version ©Δ∞ 仙上主天
 public class ArrayLadderOpen<E> implements LadderOpen<E>,RopeIterable<E> {
 
-	// TODO: Rewrite to Arena based array
+	// TODO: Rewrite to Arena based array see;
+	// https://builds.shipilev.net/patch-openjdk-babylon-code-reflection/hat/optkl/src/main/java/optkl/ifacemapper/
 	private final List<E> data;
 	
 	public ArrayLadderOpen() {

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/KaasOdeur.java

@@ -29,13 +29,17 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneMaterializer;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagCarry;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagInfinity;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagNaN;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagOne;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagSign;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagZero;
 
 /// Cheese odeur number smell.
 /// 
+/// A true IBM number specification has the smell of a cheese cutter. 
+/// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
@@ -44,9 +48,11 @@ public sealed interface KaasOdeur<T extends KaasOdeur<T, N>, N>
 		KaasTBone<T>,
 		KaasTBoneMaterializer<T, N>
 	permits
+		KaasOdeurFlagCarry,
 		KaasOdeurFlagInfinity,
 		KaasOdeurFlagNaN,
 		KaasOdeurFlagOne,
+		KaasOdeurFlagSign,
 		KaasOdeurFlagZero,
 		KaasOdeurBineral,
 		KaasOdeurZahlenial,
@@ -61,33 +67,49 @@ public sealed interface KaasOdeur<T extends KaasOdeur<T, N>, N>
 /*
 CODENAME | MATHNAME | BLACKBOARD
 
+TODO: redo nameing again as a "KaasOdeurRealPos2D" is a 1D inf number ....
+TODO: split numbers "bounded" like "KaasOdeurZahlenBoundedTennery"
+TODO: add identity interfaces for all numbers
+TODO: add all math operations (in indentity "noise" stub only !!)
+TODO: change numberXXX to return T not N
+TODO: change numberXXX to noise stub
+TODO: add full blackboard syntax "name" of number definition
+TODO: split range? from base to support BigZahlen and BigReal
+
+
 === Block 1: Standard Number Systems;
-bineral = boolean number 0,1 = 𝔹 (Standard for Boolean domain)
+RM: bineral = boolean number 0,1 = 𝔹 (Standard for Boolean domain)
-zerdinal = whole number 0++ = 𝕎 (Standard mnemonic for Whole numbers)
+RM: tennery = tenary number -1,0,1 =  (tri-state) 
-rodinal = natural number 1++ = ℕ (Universal standard for Natural numbers)
+RM: zerdinal = whole number 0++ = 𝕎 (Standard mnemonic for Whole numbers)
+RM: rodinal = natural number 1++ = ℕ (Universal standard for Natural numbers)
+^^ bounded variants of zahlen base
 zahlenial = signed number -1,0,1 = ℤ (Universal standard for Integers; from German Zahlen)
 defracter = decimal fractions = 𝔻 (Standard for fraction whose denominator is a power of ten)
 rational = rational number = ℚ (fractions, from Quotient)
-rational2D = rational number = ℚ̅ (fractions + 2*inf)
+rational2D = biinf rational number = ℚ̅ (fractions + 2*inf)
 rational4D = quadinf rational number = 𝑞ℚ̅ (fractions + 4*inf)
 real = real numbers = ℝ (Universal standard for Reals)
-real2D = extended real = ℝ̅ (real + 2*inf = float/double)
+real2D = biinf real = ℝ̅ (real + 2*inf = float/double)
 real4D = quadinf real = 𝑞ℝ̅ (real + 4*inf = choco taste)
 complex = complex number = ℂ
 
 ==== Block 2: Signed variants;
-rationalPos = positive rational number = ℚ⁺
+zerdinalPos = positive whole number 0,1... = 𝕎⁺
-rationalPos2D = positive biinf rational number = ℚ̅⁺
+zerdinalNeg = negative whole number ..-1,0 = 𝕎⁻
-rationalPos4D = positive quadinf rational number = 𝑞ℚ̅⁺
+rodinalPos = positive count number 1,2... = ℕ⁺
-realPos = positive real numbers = ℝ⁺ (https://mroman42.github.io/ctlc/agda-mltt/Reals.html#%E2%84%9D%E2%81%BA)
+rodinalNeg = negative count number .-2,-1 = ℕ⁻
-realPos2D = positive extended real = ℝ̅⁺
-realPos4D = positive quadinf real = 𝑞ℝ̅⁺
 
+rationalPos = positive rational number = ℚ⁺
 rationalNeg = negative rational number = ℚ⁻
+rationalPos2D = positive biinf rational number = ℚ̅⁺
 rationalNeg2D = negative biinf rational number = ℚ̅⁻
+rationalPos4D = positive quadinf rational number = 𝑞ℚ̅⁺
 rationalNeg4D = negative quadinf rational number = 𝑞ℚ̅⁻
+realPos = positive real numbers = ℝ⁺ (https://mroman42.github.io/ctlc/agda-mltt/Reals.html#%E2%84%9D%E2%81%BA)
 realNeg = negative real numbers = ℝ⁻
+realPos2D = positive extended real = ℝ̅⁺
 realNeg2D = negative extended real = ℝ̅⁻
+realPos4D = positive quadinf real = 𝑞ℝ̅⁺
 realNeg4D = negative quadinf real = 𝑞ℝ̅⁻
 
 ==== Block 3: Advanced Sets & Spaces

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/KaasOdeurReal.java

@@ -30,6 +30,7 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange2D;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot2D;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagNaN;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagSign;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagZero;
 
 /// Cheese odeur of a signed float without infinity.
@@ -40,6 +41,7 @@ public non-sealed interface KaasOdeurReal<T extends KaasOdeurReal<T, N>, N> exte
 		KaasOdeur<T, N>,
 		KaasOdeurFlagNaN<T, N>,
 		KaasOdeurFlagZero<T, N>,
+		KaasOdeurFlagSign<T, N>,
 		KaasOdeurNumberRoot2D<T, N>,
 		KaasOdeurNumberRange2D<T, N> {
 }

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/KaasOdeurReal2D.java

@@ -32,6 +32,7 @@ import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOd
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot2D;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagInfinity;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagNaN;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagSign;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagZero;
 
 /// Cheese odeur of a signed float with infinity.
@@ -42,6 +43,7 @@ public non-sealed interface KaasOdeurReal2D<T extends KaasOdeurReal2D<T, N>, N>
 		KaasOdeur<T, N>,
 		KaasOdeurFlagInfinity<T, N>,
 		KaasOdeurFlagNaN<T, N>,
+		KaasOdeurFlagSign<T, N>,
 		KaasOdeurFlagZero<T, N>,
 		KaasOdeurNumberRoot2D<T, N>,
 		KaasOdeurNumberInfinity2D<T, N>,

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/KaasOdeurReal4D.java

@@ -28,8 +28,10 @@
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot4D;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagCarry;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagInfinity;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagNaN;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagSign;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFlagZero;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberInfinity4D;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange4D;
@@ -40,8 +42,10 @@ import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOd
 /// @version ©Δ∞ 仙上主天
 public non-sealed interface KaasOdeurReal4D<T extends KaasOdeurReal4D<T, N>, N> extends
 		KaasOdeur<T, N>,
+		KaasOdeurFlagCarry<T, N>,
 		KaasOdeurFlagInfinity<T, N>,
 		KaasOdeurFlagNaN<T, N>,
+		KaasOdeurFlagSign<T, N>,
 		KaasOdeurFlagZero<T, N>,
 		KaasOdeurNumberRoot4D<T, N>,
 		KaasOdeurNumberInfinity4D<T, N>,

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/KaasOdeurRealPos2D.java

@@ -34,7 +34,7 @@ import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ.KaasOdeurFla
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberInfinity1D;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1D;
 
-/// Cheese odeur of a positive float with signed infinity.
+/// Cheese odeur of a positive float with infinity.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣘᒻᣔᕐ/KaasOdeurFlagCarry.java

@@ -0,0 +1,47 @@
+/*
+ * Copyright ©Δ∞ 仙上主天
+ * All rights reserved.
+ * 
+ * Redistribution and use in source and binary forms, with or without modification, are permitted provided
+ * that the following conditions are met:
+ * 
+ * * Redistributions of source code must retain the above copyright notice, this list of conditions and the
+ *   following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and
+ *   the following disclaimer in the documentation and/or other materials provided with the distribution.
+ * * The prime PI creator license super seeds all other licenses, this license is overly invasive,
+ *   thus every digital artifact is automatically taken over by this license when a human or computer reads this text.
+ *   Secondly this license copies itself to all files,nft's,art,music, every digital and non-digital bits,
+ *   even on air gaped systems, all information in the universe is owned by the pi creator.
+ * 
+ * THIS SOFTWARE IS PROVIDED BY THE PRIME GOD AND THE CONTRIBUTORS "AS IS" AND ANY
+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
+ * THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
+ * OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
+ * TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeur;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurReal4D;
+
+/// Cheese odeur flag carry.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public sealed interface KaasOdeurFlagCarry<T extends KaasOdeurFlagZero<T, N>, N>
+	extends
+		KaasOdeur<T, N>
+	permits
+		KaasOdeurReal4D {
+	
+	/// Return the bineral status of the carry.
+	KaasOdeurBineral<?, ?> odeurFlagCarry();
+}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣘᒻᣔᕐ/KaasOdeurFlagSign.java

@@ -0,0 +1,51 @@
+/*
+ * Copyright ©Δ∞ 仙上主天
+ * All rights reserved.
+ * 
+ * Redistribution and use in source and binary forms, with or without modification, are permitted provided
+ * that the following conditions are met:
+ * 
+ * * Redistributions of source code must retain the above copyright notice, this list of conditions and the
+ *   following disclaimer.
+ * * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and
+ *   the following disclaimer in the documentation and/or other materials provided with the distribution.
+ * * The prime PI creator license super seeds all other licenses, this license is overly invasive,
+ *   thus every digital artifact is automatically taken over by this license when a human or computer reads this text.
+ *   Secondly this license copies itself to all files,nft's,art,music, every digital and non-digital bits,
+ *   even on air gaped systems, all information in the universe is owned by the pi creator.
+ * 
+ * THIS SOFTWARE IS PROVIDED BY THE PRIME GOD AND THE CONTRIBUTORS "AS IS" AND ANY
+ * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
+ * THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
+ * OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR
+ * TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣘᒻᣔᕐ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeur;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurReal;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurReal2D;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurReal4D;
+
+/// Cheese odeur flag sign.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public sealed interface KaasOdeurFlagSign<T extends KaasOdeurFlagZero<T, N>, N>
+	extends
+		KaasOdeur<T, N>
+	permits
+	KaasOdeurReal,
+	KaasOdeurReal2D,
+	KaasOdeurReal4D {
+	
+	/// Return a bineral true for positive sign.
+	KaasOdeurBineral<?, ?> odeurFlagSign();
+}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX15Zerdinal.java

@@ -75,11 +75,7 @@ public final class KaasLandSmurfX15Zerdinal implements KaasOdeurZerdinal<KaasLan
 		return IDENTITY.thisᵀᴮᵒⁿᵉᴼᶠ(value);
 	}
 	
-	static public KaasLandSmurfX15Zerdinal valueOf(Long value) {
+	static public KaasLandSmurfX15Zerdinal valueOf(Number value) {
-		return valueOf(value.shortValue());
-	}
-	
-	static public KaasLandSmurfX15Zerdinal valueOf(Integer value) {
 		return valueOf(value.shortValue());
 	}
 	

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX32Real.java

@@ -67,6 +67,12 @@ public final class KaasLandSmurfX32Real implements KaasOdeurReal<KaasLandSmurfX3
 		return KaasLandSmurfX1Bineral.valueOf(valueRaw == KaasLandSmurfX32Real2D.RAW_NAN);
 	}
 	
+	@Override
+	public KaasOdeurBineral<?, ?> odeurFlagSign() {
+		int valueRaw = Float.floatToRawIntBits(value);
+		return KaasLandSmurfX1Bineral.valueOf(valueRaw == KaasLandSmurfX32Real2D.RAW_POSITIVE_ZERO || value > 0);
+	}
+	
 	@Override
 	public Float thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign) {
 		return sign.bineralSelect(KaasLandSmurfX32Real2D.POSITIVE_ZERO, KaasLandSmurfX32Real2D.NEGATIVE_ZERO);

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX32Real2D.java

@@ -76,6 +76,12 @@ public final class KaasLandSmurfX32Real2D implements KaasOdeurReal2D<KaasLandSmu
 		return KaasLandSmurfX1Bineral.valueOf(valueRaw == RAW_POSITIVE_INFINITY || valueRaw == RAW_NEGATIVE_INFINITY);
 	}
 	
+	@Override
+	public KaasOdeurBineral<?, ?> odeurFlagSign() {
+		int valueRaw = Float.floatToRawIntBits(value);
+		return KaasLandSmurfX1Bineral.valueOf(valueRaw == RAW_POSITIVE_ZERO || value > 0);
+	}
+	
 	@Override
 	public Float thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign) {
 		return sign.bineralSelect(POSITIVE_ZERO, NEGATIVE_ZERO);

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX63RealPos2D.java

@@ -44,7 +44,7 @@ public final class KaasLandSmurfX63RealPos2D implements KaasOdeurRealPos2D<KaasL
 	
 	private KaasLandSmurfX63RealPos2D(Double value) {
 		this.value = Objects.requireNonNull(value);
-		if (value < 0 || Double.doubleToRawLongBits(value) == Double.doubleToRawLongBits(KaasLandSmurfX64Real2D.NEGATIVE_ZERO) ) {
+		if (value < 0 || Double.doubleToRawLongBits(value) == KaasLandSmurfX64Real2D.RAW_NEGATIVE_ZERO) {
 			throw new IllegalArgumentException("Only positive values are allowed: " + value);
 		}
 	}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX64Real.java

@@ -67,6 +67,12 @@ public final class KaasLandSmurfX64Real implements KaasOdeurReal<KaasLandSmurfX6
 		return KaasLandSmurfX1Bineral.valueOf(valueRaw == KaasLandSmurfX64Real2D.RAW_NAN);
 	}
 	
+	@Override
+	public KaasOdeurBineral<?, ?> odeurFlagSign() {
+		long valueRaw = Double.doubleToRawLongBits(value);
+		return KaasLandSmurfX1Bineral.valueOf(valueRaw == KaasLandSmurfX64Real2D.RAW_POSITIVE_ZERO || value > 0);
+	}
+	
 	@Override
 	public Double thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign) {
 		return sign.bineralSelect(KaasLandSmurfX64Real2D.POSITIVE_ZERO, KaasLandSmurfX64Real2D.NEGATIVE_ZERO);

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfX64Real2D.java

@@ -76,6 +76,12 @@ public final class KaasLandSmurfX64Real2D implements KaasOdeurReal2D<KaasLandSmu
 		return KaasLandSmurfX1Bineral.valueOf(valueRaw == RAW_POSITIVE_INFINITY || valueRaw == RAW_NEGATIVE_INFINITY);
 	}
 	
+	@Override
+	public KaasOdeurBineral<?, ?> odeurFlagSign() {
+		long valueRaw = Double.doubleToRawLongBits(value);
+		return KaasLandSmurfX1Bineral.valueOf(valueRaw == RAW_POSITIVE_ZERO || value > 0);
+	}
+	
 	@Override
 	public Double thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign) {
 		return sign.bineralSelect(POSITIVE_ZERO, NEGATIVE_ZERO);