WIP #1009: Add missing IMatrch interface

Author: axkr

symja_android_library/matheclipse-core/src/main/java/org/matheclipse/core/eval/interfaces/IMatch.java

@@ -0,0 +1,25 @@
+package org.matheclipse.core.eval.interfaces;
+
+import org.matheclipse.core.eval.EvalEngine;
+import org.matheclipse.core.expression.F;
+import org.matheclipse.core.interfaces.IAST;
+import org.matheclipse.core.interfaces.IExpr;
+
+public interface IMatch {
+
+  default IExpr match2(IAST ast, EvalEngine engine) {
+    return F.NIL;
+  }
+
+  default IExpr match3(IAST ast, EvalEngine engine) {
+    return F.NIL;
+  }
+
+  default IExpr match4(IAST ast, EvalEngine engine) {
+    return F.NIL;
+  }
+
+  default IExpr match5(IAST ast, EvalEngine engine) {
+    return F.NIL;
+  }
+}

symja_android_library/matheclipse-core/src/test/java/org/matheclipse/core/system/MinMaxFunctionsTest.java

@@ -0,0 +1,89 @@
+package org.matheclipse.core.system;
+
+import org.junit.Test;
+
+public class MinMaxFunctionsTest extends ExprEvaluatorTestCase {
+
+  @Test
+  public void testNArgMax() {
+    checkNumeric("NArgMax(-2*x^2-3*x+5,x)", //
+        "{-0.7500000000000001}");
+    checkNumeric("NArgMax(1-(x*y-3)^2, {x, y})", //
+        "{1.0,3.0}");
+  }
+
+
+  @Test
+  public void testNArgMin() {
+    checkNumeric("NArgMin(2*x^2-3*x+5,x)", //
+        "{0.7499999999999998}");
+
+    checkNumeric("NArgMin((x*y-3)^2+1, {x,y})", //
+        "{1.0,3.0}");
+    checkNumeric("NArgMin({x-2*y, x+y<= 1}, {x, y})", //
+        "{0.0,1.0}");
+  }
+
+  @Test
+  public void testNMaxValue() {
+    checkNumeric("NMaxValue(-2*x^2-3*x+5,x)", //
+        "6.125");
+    checkNumeric("NMaxValue(1-(x*y-3)^2, {x, y})", //
+        "1.0");
+  }
+
+  @Test
+  public void testNMinValue() {
+    checkNumeric("NMinValue(2*x^2-3*x+5,x)", //
+        "3.875");
+
+    checkNumeric("NMinValue((x*y-3)^2+1, {x,y})", //
+        "1.0");
+    checkNumeric("NMinValue({x-2*y, x+y<= 1}, {x, y})", //
+        "-2.0");
+  }
+
+  @Test
+  public void testNMaximize() {
+    checkNumeric("NMaximize(-x^4 - 3* x^2 + x, x)", //
+        "{0.08258881886826407,{x->0.16373996720676331}}");
+
+    check("NMaximize({-2*x+y-5, x+2*y<=6 && 3*x + 2*y <= 12 }, {x, y})", //
+        "{-2.0,{x->0.0,y->3.0}}");
+    check("NMaximize({-x - y, 3*x + 2*y >= 7 && x + 2*y >= 6}, {x, y})", //
+        "{-3.25,{x->0.5,y->2.75}}");
+  }
+
+  @Test
+  public void testNMinimize() {
+    check("NMinimize({-5-2*x+y,x+2*y<=6&&3*x+2*y<=12},{x,y})", //
+        "{-13.0,{x->4.0,y->0.0}}");
+
+    check("NMinimize({-Sinc(x)-Sinc(y)}, {x, y})", //
+        "{-2.0,{x->0.0,y->0.0}}");
+
+    check("NMinimize(x^2 + y^2 + 2, {x,y})", //
+        "{2.0,{x->0.0,y->0.0}}");
+    check("NMinimize({Sinc(x)+Sinc(y)}, {x, y})", //
+        "{-0.434467,{x->4.49341,y->4.49341}}");
+
+    checkNumeric("NMinimize({Sinc(x)+Sinc(y)}, {x, y})", //
+        "{-0.4344672564224433,{x->4.493409457896563,y->4.493409457738778}}");
+
+    checkNumeric("NMinimize(x^4 - 3*x^2 - x, x)", //
+        "{-3.513905038934788,{x->1.3008395656679863}}");
+
+    // TODO non-linear not supported
+    // check("NMinimize({x^2 - (y - 1)^2, x^2 + y^2 <= 4}, {x, y})", "");
+    check("NMinimize({-2*y+x-5, x+2*y<=6 && 3*x + 2*y <= 12 }, {x, y})", //
+        "{-11.0,{x->0.0,y->3.0}}");
+    check("NMinimize({-2*y+x-5, x+2*y<=6 && 3*x + 2*y <= 12 }, {x, y})", //
+        "{-11.0,{x->0.0,y->3.0}}");
+    check("NMinimize({-2*x+y-5, x+2*y<=6 && 3*x + 2*y <= 12 }, {x, y})", //
+        "{-13.0,{x->4.0,y->0.0}}");
+    check("NMinimize({x + 2*y, -5*x + y == 7 && x + y >= 26 && x >= 3 && y >= 4}, {x, y})", //
+        "{48.83333,{x->3.16667,y->22.83333}}");
+    check("NMinimize({x + y, 3*x + 2*y >= 7 && x + 2*y >= 6 }, {x, y})", //
+        "{3.25,{x->0.5,y->2.75}}");
+  }
+}