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Substitute

 Method with 5 overloads

• Substitute​(AngouriMath.​Entity,​AngouriMath.​Entity)

  Summary

  Replaces all with

  Returns

  A new expression

  Example

  using System;
  using AngouriMath;
  using static AngouriMath.MathS;
  
  var (x, y, z) = Var("x", "y", "z");
  Entity expr = Sin(x);
  var substituted = expr.Substitute(x, pi / 3);
  
  Console.WriteLine(expr);
  Console.WriteLine(substituted);
  Console.WriteLine(substituted.Simplify());
  
  Console.WriteLine("-------------------------------");
  
  var expr2 = Sin(x) + Cos(y + x) + Factorial(z);
  
  var substituted2 =
      expr2
          .Substitute(x, 1)
          .Substitute(y, 2)
          .Substitute(z, 3);
  
  Console.WriteLine(expr2);
  Console.WriteLine(substituted2);
  
  Console.WriteLine("-------------------------------");
  
  var expr3 = Sin(x + y) + 1 / Sin(x + y);
  var substituted3 = expr3.Substitute(Sin(x + y), Cos(x + y));
  Console.WriteLine(expr3);
  Console.WriteLine(substituted3);

  
  Prints
  

  sin(x)
  sin(pi / 3)
  sqrt(3) / 2
  -------------------------------
  sin(x) + cos(y + x) + z!
  sin(1) + cos(2 + 1) + 3!
  -------------------------------
  sin(x + y) + 1 / sin(x + y)
  cos(x + y) + 1 / cos(x + y)

• Substitute​(System.​Collections.​Generic.​IReadOnlyDictionary{``0,​``1})

  Summary

  Replaces all

  Example

  See how Substitute(AngouriMath.Entity,AngouriMath.Entity) works.
  

  using System;
  using System.Collections.Generic;
  using AngouriMath;
  using static AngouriMath.MathS;
  
  var (x, y, z, w) = Var("x", "y", "z", "w");
  
  var expr = Sin(x + y) + 1 / Sin(x + y) + z / w;
  
  var subs = new Dictionary<Entity, Entity>()
  {
      { x, 1 },
      { y, 2 },
      { z, z + Sin(y) }
  };
  
  
  Console.WriteLine(expr);
  Console.WriteLine(expr.Substitute(subs));

  
  Prints
  

  sin(x + y) + 1 / sin(x + y) + z / w
  sin(1 + 2) + 1 / sin(1 + 2) + (z + sin(y)) / w

• Substitute​(System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity},​System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity})

  Summary

  Replaces x.x1 with value.v1 and
  x.x2 with value.v2 and
  x.x3 with value.v3 and
  x.x4 with value.v4
  

  Example

  See how Substitute(AngouriMath.Entity,AngouriMath.Entity) works.
  

  using System;
  using static AngouriMath.MathS;
  
  var (x, y, z, w) = Var("x", "y", "z", "w");
  
  var expr = Sin(x + y) + 1 / Sin(x + y) + z / w;
  
  var sub = expr
      .Substitute((x, y, z, w), (5, 11, 115, Sqr(w)));
  Console.WriteLine(sub);

  
  Prints
  

  using System;
  using static AngouriMath.MathS;
  
  var (x, y, z, w) = Var("x", "y", "z", "w");
  
  var expr = Sin(x + y) + 1 / Sin(x + y) + z / w;
  
  var sub = expr
      .Substitute((x, y, z, w), (5, 11, 115, Sqr(w)));
  Console.WriteLine(sub);

• Substitute​(System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity},​System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity,​AngouriMath.​Entity})

  Summary

  Replaces x.x1 with value.v1 and
  x.x2 with value.v2 and
  x.x3 with value.v3
  

  Example

  See how Substitute(AngouriMath.Entity,AngouriMath.Entity) works.
  

  using System;
  using static AngouriMath.MathS;
  
  var (x, y, z) = Var("x", "y", "z");
  
  var expr = Sin(x + y) + 1 / Sin(x + y) + z;
  
  var sub = expr
      .Substitute((x, y, z), (5, 11, 115));
  Console.WriteLine(sub);

  
  Prints
  

  sin(5 + 11) + 1 / sin(5 + 11) + 115

• Substitute​(System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity},​System.​ValueTuple{AngouriMath.​Entity,​AngouriMath.​Entity})

  Summary

  Replaces x.x1 with value.v1 and
  x.x2 with value.v2
  

  Example

  See how Substitute(AngouriMath.Entity,AngouriMath.Entity) works.
  

  using System;
  using static AngouriMath.MathS;
  
  var (x, y) = Var("x", "y");
  
  var expr = Sin(x + y) + 1 / Sin(x + y);
  
  var sub = expr
      .Substitute((x, y), (5, 11));
  Console.WriteLine(sub);