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Moving in eight directions is a little artificial in that you don t see many things moving like this in real life. Most mobile things can rotate freely, but move in the direction they are pointing, or perhaps backward but definitely in more than eight compass directions. We can still use the same Up, Down, Left, and Right keys to simulate this, but we have to change what the keys control. What we want to do is have keys for left and right that control rotation and keys for forward and back movement, which would give our sprite the ability to move in any direction. Listing 6-3 uses exactly the same set of keys but uses this free rotation control to move the sprite around the screen. Listing 6-3. Free Rotation Control (keyrotatemovement.py) background_image_filename = 'sushiplate.jpg' sprite_image_filename = 'fugu.png' import pygame from pygame.locals import * from sys import exit from gameobjects.vector2 import Vector2 from math import * pygame.init() screen = pygame.display.set_mode((640, 480), 0, 32) background = pygame.image.load(background_image_filename).convert() sprite = pygame.image.load(sprite_image_filename).convert_alpha() clock = pygame.time.Clock() sprite_pos = Vector2(200, 150) sprite_speed = 300. sprite_rotation = 0. sprite_rotation_speed = 360. # Degrees per second while True: for event in pygame.event.get(): if event.type == QUIT: exit()

5 |> SystemMathCos This reversal can be useful in some circumstances, especially when you want to chain many functions together Here is the previous add function example rewritten using the pipe-forward operator: let add x y = x + y let result = add 6 7 |> add 4 |> add 5.

pressed_keys = pygame.key.get_pressed() rotation_direction = 0. movement_direction = 0. if pressed_keys[K_LEFT]: rotation_direction = +1.0 if pressed_keys[K_RIGHT]: rotation_direction = -1.0 if pressed_keys[K_UP]: movement_direction = +1.0 if pressed_keys[K_DOWN]: movement_direction = -1.0 screen.blit(background, (0,0)) rotated_sprite = pygame.transform.rotate(sprite, sprite_rotation) w, h = rotated_sprite.get_size() sprite_draw_pos = Vector2(sprite_pos.x-w/2, sprite_pos.y-h/2) screen.blit(rotated_sprite, sprite_draw_pos) time_passed = clock.tick() time_passed_seconds = time_passed / 1000.0 sprite_rotation += rotation_direction * sprite_rotation_speed * time_passed_seconds heading_x = sin(sprite_rotation*pi/180.0) heading_y = cos(sprite_rotation*pi/180.0) heading = Vector2(heading_x, heading_y) heading *= movement_direction sprite_pos+= heading * sprite_speed * time_passed_seconds pygame.display.update() Listing 6-3 works in a similar way to the previous example, but it calculates the heading differently. Rather than create a heading vector from whatever keys are pressed, we create the heading from the rotation of the sprite (stored in the variable sprite_rotation). It is this value that we modify when the appropriate key is pressed. When the Right key is pressed, we add to the sprite rotation, turning it one way. And when the Left key is pressed, we subtract from the rotation to turn it in the opposite direction. To calculate the heading vector from the rotation, we must calculate the sine and cosine of the angle, which we can do with the sin and cos functions found in the math module. The sin function calculates the x component, and cos calculates the y component. Both functions take an angle in radians (there are 2 * pi radians in a circle), but since Listing 6-3 uses degrees it has to convert the

try { OdbcConnection dataConnection = new OdbcConnection(); dataConnection.ConnectionString = DataUtilities.ConnectionString; dataConnection.Open(); OdbcCommand dataCommand = new OdbcCommand(); dataCommand.Connection = dataConnection; // Build command string StringBuilder commandText = new StringBuilder("SELECT * FROM Products WHERE ProductID = "); commandText.Append(productID); dataCommand.CommandText = commandText.ToString(); OdbcDataReader dataReader = dataCommand.ExecuteReader(); if (dataReader.Read()) { product = new Product(); product.ProductID = dataReader.GetInt32(0); product.ProductName = dataReader.GetString(1); product.CategoryID = dataReader.GetInt32(3); product.Price = dataReader.GetDecimal(5); product.Quantity = dataReader.GetInt16(6); } dataCommand.Close(); } catch (Exception e) { Console.WriteLine("Error: " + e.Message); } return product; } public static ArrayList SearchForProducts(string searchString) { ArrayList products = new ArrayList();

%token <System.Double> FLOAT %token LPAREN RPAREN EOF MULTI DIV PLUS MINUS %type < Strangelights.ExpressionParser.Ast.Expr > Expression %left %left %left %left %% Expression: ID { Ident($1) } | FLOAT { Val($1) } | LPAREN Expression RPAREN { $2 } | Expression MULTI Expression { Multi($1, $3) } | Expression DIV Expression { Div($1, $3) } | Expression PLUS Expression { Plus($1, $3) } | Expression MINUS Expression { Minus($1, $3) } Let s take a closer look at the items that make up your rule. The simplest rule item you have consists of one terminal, ID, in this case an identifier: ID { Ident($1) } In the rule item s action, the string that represents the identifier is used to create an instance of the Ident constructor from the AST. A slightly more complex rule is one that involves both terminals and nonterminals: | Expression MULTI Expression { Multi($1, $3) } MULTI DIV PLUS MINUS