JPP: Fixed FN naming in bineral and made number range/root in xD

nx01-jpp-base/src/main/java/ᒢᐩᐩ/ᒡᒢᑊᒻᒻᓫᔿ/ᣳᣝᐤᣜᣳ/ᐪᓫᣗᔿᑊᣕᣔᐪᐤᣗ/T002ᖟ.java

@@ -84,12 +84,17 @@ public enum T002ᖟ implements TerminatorEnum𓄯<T002ᖟ>, KaasOdeurBineral<T00
 		return ghostsInTailOfNavajo;
 	}
 	
+	@Override
+	public T002ᖟ inverse() {
+		return valueOf(!toNavajo());
+	}
+	
 	public static T002ᖟ valueOf(final int index) {
 		return 亞ᴬᴸᴸ[index];
 	}
 	
 	public static T002ᖟ valueOf(final boolean value) {
-		return valueOf(value?0:1);
+		return valueOf(value ? 0 : 1);
 	}
 	
 	public static int valuesLength() {

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

@@ -27,22 +27,30 @@
 
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
+import java.util.function.Supplier;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRootLego;
 
-/// Cheese odeur boolean
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot1D;
+
+/// Cheese odeur boolean.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
 public interface KaasOdeurBineral<T extends KaasOdeurBineral<T, N>, N> extends
 		KaasTBoneConstructor<T, N>,
-		KaasOdeurNumberRootLego<T, N> {
+		KaasOdeurNumberRoot1D<T, N> {
 	
 	N bineral();
 	
+	T inverse();
+	
 	boolean toNavajo();
 	
-	default <X> X toNavajo(X v1, X v2) {
+	default <X> X select(X v1, X v2) {
-		return toNavajo()?v1:v2;
+		return toNavajo() ? v1 : v2;
+	}
+	
+	default <X> X selectOf(Supplier<X> s1, Supplier<X> s2) {
+		return select(s1, s2).get();
 	}
 }

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

@@ -29,7 +29,7 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
 
-/// Cheese odeur number
+/// Cheese odeur number.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s

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

@@ -28,18 +28,24 @@
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRootChoco;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot4D;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeDown;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DDown;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange2DDown;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange2DUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange4D;
 
-/// cheese odeur numeral choco
+/// Cheese odeur numeral choco.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
 public interface KaasOdeurNumeralChoco<T extends KaasOdeurNumeralChoco<T, N>, N> extends
 		KaasTBoneConstructor<T, N>,
 		KaasOdeurNumeral<T, N>,
-		KaasOdeurNumberRootChoco<T, N>,
+		KaasOdeurNumberRoot4D<T, N>,
-		KaasOdeurNumberRangeUp<T, N>,
+		KaasOdeurNumberRange4D<T, N>,
-		KaasOdeurNumberRangeDown<T, N> {
+		KaasOdeurNumberRange1DUp<T, N>,
+		KaasOdeurNumberRange1DDown<T, N>,
+		KaasOdeurNumberRange2DUp<T, N>,
+		KaasOdeurNumberRange2DDown<T, N> {
 }

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

@@ -28,18 +28,18 @@
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRootLego;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot1D;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeDown;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DDown;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DUp;
 
-/// cheese odeur numeral lego
+/// Cheese odeur numeral lego.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
 public interface KaasOdeurNumeralLego<T extends KaasOdeurNumeralLego<T, N>, N> extends
 		KaasTBoneConstructor<T, N>,
 		KaasOdeurNumeral<T, N>,
-		KaasOdeurNumberRootLego<T, N>,
+		KaasOdeurNumberRoot1D<T, N>,
-		KaasOdeurNumberRangeUp<T, N>,
+		KaasOdeurNumberRange1DUp<T, N>,
-		KaasOdeurNumberRangeDown<T, N> {
+		KaasOdeurNumberRange1DDown<T, N> {
 }

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

@@ -28,18 +28,20 @@
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRootSigned;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot2D;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeDown;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange2D;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DDown;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DUp;
 
-/// cheese odeur numeral signed
+/// Cheese odeur numeral signed.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
 public interface KaasOdeurNumeralSigned<T extends KaasOdeurNumeralSigned<T, N>, N> extends
 		KaasTBoneConstructor<T, N>,
 		KaasOdeurNumeral<T, N>,
-		KaasOdeurNumberRootSigned<T, N>,
+		KaasOdeurNumberRoot2D<T, N>,
-		KaasOdeurNumberRangeUp<T, N>,
+		KaasOdeurNumberRange2D<T, N>,
-		KaasOdeurNumberRangeDown<T, N> {
+		KaasOdeurNumberRange1DUp<T, N>,
+		KaasOdeurNumberRange1DDown<T, N> {
 }

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

@@ -28,17 +28,17 @@
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBoneConstructor;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRootLego;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRoot1D;
-import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRangeUp;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ.KaasOdeurNumberRange1DUp;
 
-/// cheese odeur zerdinal numbering schema is the place where zero is one.
+/// Cheese odeur zerdinal numbering schema is the place where zero is one.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
 public interface KaasOdeurZerdinal<T extends KaasOdeurZerdinal<T, N>, N> extends
 		KaasTBoneConstructor<T, N>,
-		KaasOdeurNumberRootLego<T, N>,
+		KaasOdeurNumberRoot1D<T, N>,
-		KaasOdeurNumberRangeUp<T, N> {
+		KaasOdeurNumberRange1DUp<T, N> {
 	
 	/// Returns a positive zero based index number.
 	N zerdinal();

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

@@ -27,7 +27,7 @@
 
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ;
 
-/// cheese odeur zerdinal identity marker interface.
+/// Cheese odeur zerdinal identity marker interface.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange1DDown.java

@@ -29,12 +29,12 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
 
-/// Cheese odeur number range down
+/// Cheese odeur number range 1D down.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
-public interface KaasOdeurNumberRangeDown<T extends KaasOdeurNumberRangeDown<T, N>, N> extends KaasTBone<T> {
+public interface KaasOdeurNumberRange1DDown<T extends KaasOdeurNumberRange1DDown<T, N>, N> extends KaasTBone<T> {
 	
 	/// The cardinal capacity of this bounded number range down.
 	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᴰᵒʷⁿ();

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange1DUp.java

@@ -29,12 +29,12 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
 
-/// Cheese odeur number range up
+/// Cheese odeur number range 1D up.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
-public interface KaasOdeurNumberRangeUp<T extends KaasOdeurNumberRangeUp<T, N>, N> extends KaasTBone<T> {
+public interface KaasOdeurNumberRange1DUp<T extends KaasOdeurNumberRange1DUp<T, N>, N> extends KaasTBone<T> {
 	
 	/// The cardinal capacity of this bounded number range up.
 	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᵁᵖ();

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange2D.java

@@ -0,0 +1,42 @@
+/*
+ * 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.ᣕᓑᔿᒃᓫᣗ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+
+/// Cheese odeur number two dimensional range.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public interface KaasOdeurNumberRange2D<T extends KaasOdeurNumberRange2D<T, N>, N> extends KaasTBone<T> {
+	
+	/// The cardinal capacity of this 2D bounded number range.
+	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉ(KaasOdeurBineral<?, ?> dimensionSign);
+}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange2DDown.java

@@ -0,0 +1,42 @@
+/*
+ * 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.ᣕᓑᔿᒃᓫᣗ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+
+/// Cheese odeur number range 2D down.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public interface KaasOdeurNumberRange2DDown<T extends KaasOdeurNumberRange2DDown<T, N>, N> extends KaasTBone<T> {
+	
+	/// The cardinal capacity of this bounded 2D number range down.
+	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᴰᵒʷⁿ(KaasOdeurBineral<?, ?> dimensionCarry);
+}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange2DUp.java

@@ -0,0 +1,42 @@
+/*
+ * 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.ᣕᓑᔿᒃᓫᣗ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+
+/// Cheese odeur number range 2D up.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public interface KaasOdeurNumberRange2DUp<T extends KaasOdeurNumberRange2DUp<T, N>, N> extends KaasTBone<T> {
+	
+	/// The cardinal capacity of this 2D bounded number range up.
+	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᵁᵖ(KaasOdeurBineral<?, ?> dimensionCarry);
+}

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRange4D.java

@@ -0,0 +1,42 @@
+/*
+ * 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.ᣕᓑᔿᒃᓫᣗ;
+
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
+import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
+
+/// Cheese odeur number four dimensional range.
+/// 
+/// @author للَّٰهِilLצسُو
+/// @version ©Δ∞ 仙上主天s
+/// @param <T> The bone to eat.
+public interface KaasOdeurNumberRange4D<T extends KaasOdeurNumberRange4D<T, N>, N> extends KaasTBone<T> {
+	
+	/// The cardinal capacity of this 4D bounded number range.
+	N thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉ(KaasOdeurBineral<?, ?> dimensionSign, KaasOdeurBineral<?, ?> dimensionCarry);
+}

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

@@ -29,7 +29,7 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.KaasTBone;
 
-/// Cheese odeur number root
+/// Cheese odeur number root.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRoot1D.java

@@ -27,12 +27,12 @@
 
 package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
-/// Cheese odeur number root lego
+/// Cheese odeur number root 1D.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
-public interface KaasOdeurNumberRootLego<T extends KaasOdeurNumberRootLego<T, N>, N> extends KaasOdeurNumberRoot<T> {
+public interface KaasOdeurNumberRoot1D<T extends KaasOdeurNumberRoot1D<T, N>, N> extends KaasOdeurNumberRoot<T> {
 	
 	N thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ();
 }

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRoot2D.java

@@ -29,12 +29,12 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
 
-/// Cheese odeur number root signed
+/// Cheese odeur number root 2D.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
-public interface KaasOdeurNumberRootSigned<T extends KaasOdeurNumberRootSigned<T, N>, N> extends KaasOdeurNumberRoot<T> {
+public interface KaasOdeurNumberRoot2D<T extends KaasOdeurNumberRoot2D<T, N>, N> extends KaasOdeurNumberRoot<T> {
 	
-	N thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign);
+	N thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> dimensionSign);
 }

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᐤᑊᐣᓫᓑᣗ/ᣕᓑᔿᒃᓫᣗ/KaasOdeurNumberRoot4D.java

@@ -29,12 +29,12 @@ package ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.ᣕᓑᔿᒃᓫᣗ;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
 
-/// Cheese odeur number root choco
+/// Cheese odeur number root choco.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天s
 /// @param <T> The bone to eat.
-public interface KaasOdeurNumberRootChoco<T extends KaasOdeurNumberRootChoco<T, N>, N> extends KaasOdeurNumberRoot<T> {
+public interface KaasOdeurNumberRoot4D<T extends KaasOdeurNumberRoot4D<T, N>, N> extends KaasOdeurNumberRoot<T> {
 	
-	N thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign, KaasOdeurBineral<?, ?> carry);
+	N thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> dimensionSign, KaasOdeurBineral<?, ?> dimensionCarry);
 }

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

@@ -33,7 +33,7 @@ import java.lang.annotation.Retention;
 import java.lang.annotation.RetentionPolicy;
 import java.lang.annotation.Target;
 
-/// Marker annotation for generated code.
+/// Cheese land marker annotation for generated code.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfBineralX1.java

@@ -31,17 +31,20 @@ import java.util.Objects;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
 
-/// Cheese land bineral X1 is a boolean value.
+/// Cheese land smurf bineral X1 is a boolean value.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
-public final class KaasLandSmurfBineralX1 implements KaasOdeurBineral<KaasLandSmurfBineralX1, Boolean> {
+public enum KaasLandSmurfBineralX1 implements KaasOdeurBineral<KaasLandSmurfBineralX1, Boolean> {
 	
-	static public final KaasLandSmurfBineralX1 IDENTITY = new KaasLandSmurfBineralX1(Boolean.TRUE);
+	Z1_TRUE,
+	Z2_FALSE,
+	;
+	static public final KaasLandSmurfBineralX1 IDENTITY = KaasLandSmurfBineralX1.Z1_TRUE;
 	private final Boolean value;
 	
-	private KaasLandSmurfBineralX1(Boolean value) {
+	private KaasLandSmurfBineralX1() {
-		this.value = Objects.requireNonNull(value);
+		this.value = Boolean.valueOf(ordinal() == 0);
 	}
 	
 	@Override
@@ -51,20 +54,21 @@ public final class KaasLandSmurfBineralX1 implements KaasOdeurBineral<KaasLandSm
 	
 	@Override
 	public KaasLandSmurfBineralX1 thisᵀᴮᵒⁿᵉᴺᵉʷ(Boolean value) {
-		return new KaasLandSmurfBineralX1(value);
+		return Objects.requireNonNull(value) ? Z1_TRUE : Z2_FALSE;
 	}
-
+	
 	@Override
 	public boolean toNavajo() {
-		return Boolean.TRUE.equals(value);
+		return bineral();
 	}
-
+	
 	@Override
 	public Boolean thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ() {
 		return IDENTITY.bineral();
 	}
 	
-	public KaasLandSmurfBineralX1 toInverse() {
+	@Override
+	public KaasLandSmurfBineralX1 inverse() {
 		return thisᵀᴮᵒⁿᵉᴺᵉʷ(!bineral());
 	}
 }

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfNumeralX64.java

@@ -32,7 +32,7 @@ import java.util.Objects;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurBineral;
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurNumeralSigned;
 
-/// Cheese land numeral X64 is a signed long value.
+/// Cheese land smurf numeral X64 is a signed long value.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天
@@ -55,6 +55,11 @@ public final class KaasLandSmurfNumeralX64 implements KaasOdeurNumeralSigned<Kaa
 		return new KaasLandSmurfNumeralX64(value);
 	}
 	
+	@Override
+	public Long thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉ(KaasOdeurBineral<?, ?> dimension) {
+		return dimension.selectOf(() -> thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᵁᵖ(), () -> thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᴰᵒʷⁿ());
+	}
+	
 	@Override
 	public Long thisᴺᵘᵐᵇᵉʳᴿᵃⁿᵍᵉᵁᵖ() {
 		return Long.MAX_VALUE;
@@ -67,7 +72,7 @@ public final class KaasLandSmurfNumeralX64 implements KaasOdeurNumeralSigned<Kaa
 	
 	@Override
 	public Long thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasOdeurBineral<?, ?> sign) {
-		return sign.toNavajo(0L, -0L);
+		return sign.select(0L, -0L);
 	}
 	
 	public KaasLandSmurfZerdinalX63 toZerdinalX63() {

nx01-jpp0-kaas/src/main/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfZerdinalX63.java

@@ -31,7 +31,7 @@ import java.util.Objects;
 
 import ᒢᣘᐧᐧ.ᑊᑉᣔᣔᔆ.ᐤᑊᐣᓫᓑᣗ.KaasOdeurZerdinal;
 
-/// Cheese land zerdinal X63 is a positive long value.
+/// Cheese land smurf zerdinal X63 is a positive long value.
 /// 
 /// @author للَّٰهِilLצسُو
 /// @version ©Δ∞ 仙上主天

nx01-jpp0-kaas/src/test/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfBineralX1Test.java

@@ -43,19 +43,25 @@ public class KaasLandSmurfBineralX1Test {
 	
 	@Test
 	public void testBineralX1Root() {
-		// NOTE; should be equal to T002 where index 0 == true
 		Assertions.assertTrue(KaasLandSmurfBineralX1.IDENTITY.thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ());
+		// NOTE; should be equal to T002 where index 0 == true
+		Assertions.assertTrue(KaasLandSmurfBineralX1.values()[0].thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ());
+		Assertions.assertEquals(KaasLandSmurfBineralX1.values()[0].thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(), KaasLandSmurfBineralX1.IDENTITY.thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ());
 	}
 	
 	@Test
-	public void testBineralX1Navajo() {
+	public void testBineralX1NavajoInverse() {
 		KaasLandSmurfBineralX1 smurfTrue = KaasLandSmurfBineralX1.IDENTITY;
-		KaasLandSmurfBineralX1 smurfFalse = KaasLandSmurfBineralX1.IDENTITY.toInverse();
+		KaasLandSmurfBineralX1 smurfFalse = KaasLandSmurfBineralX1.IDENTITY.inverse();
 		Assertions.assertTrue(smurfTrue.toNavajo());
 		Assertions.assertFalse(smurfFalse.toNavajo());
+	}
+	
+	@Test
+	public void testBineralX1Select() {
 		String s1 = "s1";
 		String s2 = "s2";
-		Assertions.assertEquals(s1, smurfTrue.toNavajo(s1, s2));
+		Assertions.assertEquals(s1, KaasLandSmurfBineralX1.Z1_TRUE.select(s1, s2));
-		Assertions.assertEquals(s2, smurfFalse.toNavajo(s1, s2));
+		Assertions.assertEquals(s2, KaasLandSmurfBineralX1.Z2_FALSE.select(s1, s2));
 	}
 }

nx01-jpp0-kaas/src/test/java/ᒢᣘᐧᐧ/ᑊᑉᣔᣔᔆ/ᒻᣔᣕᒄ/KaasLandSmurfNumeralX64Test.java

@@ -44,7 +44,7 @@ public class KaasLandSmurfNumeralX64Test {
 	@Test
 	public void testNumeralX64Root() {
 		Assertions.assertEquals(0L, KaasLandSmurfNumeralX64.IDENTITY.thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasLandSmurfBineralX1.IDENTITY));
-		Assertions.assertEquals(-0L, KaasLandSmurfNumeralX64.IDENTITY.thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasLandSmurfBineralX1.IDENTITY.toInverse()));
+		Assertions.assertEquals(-0L, KaasLandSmurfNumeralX64.IDENTITY.thisᴺᵘᵐᵇᵉʳᴿᵒᵒᵗ(KaasLandSmurfBineralX1.IDENTITY.inverse()));
 	}
 	
 	@Test