CSC 142: Difference between revisions
From charlesreid1
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===Profiles=== | ===Profiles=== | ||
Charles Babbage - | Charles Babbage | ||
* Digital representation | |||
* Computer | |||
Carl Freidrich Gauss | |||
* Adding up the sum of all integers from 1-100 | |||
* First approach: don't manage the complexity, just dive in and have at it | |||
* Gauss: found an alternative pattern | |||
* By adding last and first, then second last and second first, and so on, got same number for each | |||
* Utilizing this turned a sum problem into a multiplication problem | |||
* Lesson: by changing your pattern of thinking/problem solving, can open up new, better, faster approaches | |||
=Chapter 3: Parameters and Objects= | =Chapter 3: Parameters and Objects= | ||
Revision as of 06:17, 1 September 2016
Chapter 1: Intro to Java
Sections:
1.1 Basic computing concepts
1.2 And now, Java
1.3 Program errors
1.4 Procedural decomposition
1.5 Case study: DrawFigs
Note: the first chapter is definitions-heavy.
Section 1.1: Intro to Java
Definitions
- Algorithm
- Program
- Hardware ("Hardware: the part of the computer that you can kick")
- Software
- Digital
- Binary
- Program execution
- Compiler
- Java Virtual Machine (JVM)
- Java Runtime Environment (JRE)
Material
Things to cover:
- Java class libraries (standard library)
- Java programming environment
- Java Hello World program
- Console window/command line
1995: Oracle: "Java: A simple, object-oriented, network-savvy, interpreted, robust, secure, architecture-netural, portable, high-performance, multithreaded, dynamic language."
Life Skills
Life skills track:
- Pay attention and FOCUS
- RTFM
- Follow directions and read carefully
- Whether it's your compiler, or your instructor, or your fellow students - pay attention to what's being said
- Skill will pay off when you start to compile your Java programs
Section 1.2: Java
Materials
Class
- Every program, all Java code, lives in a class
- Class header
- Class methods
- Statements
- String literals
- System.out.println
- Escape sequences
- print vs println
Complex example: draw figures
- ASCII diamond, X, rocket
Code comments, white space, readability:
- Comments
Section 1.3: Syntax Errors
Material
Different types of errors:
- Where the errors happen - the normal process - (code) --> (compiler) --> (bytecode)
- Errors at compiler level - syntax errors - book lists common syntax errors
- Errors at code level - bugs - errors in the logic of the program (wrong idea, or right idea but implemented wrong)
Section 1.4: Procedural Decomposition
Materials
Decomposing complexity:
- Decomposition concept: split into functions, tasks, subtasks
C is very verb-oriented, action-oriented
Java is very noun-oriented, object-oriented
Procedural programming:
- Function-based, action-based programming
- How to decompose task of baking a cake
- Static methods (help serve function of.......... functions)
Object oriented programming version:
- c = new Cake(); c.make()
- Encapsulating complexity of the object
- Example in book: drawBox, drawTopX, drawBottX
Flow control
- How control changes with function calls
- Objects: with OOP it becomes more complicated to follow the flow of the program
- Procedural programs and interpreted languages: you just start at the top and go from there
- Objects: "when is this code actually used?" (have to dive in to see)
- Learning to follow program flow control
- Flow control allows you to abstract away detail
- Example runtime error
Definitions
- Decomposition
- Iterative enhancement
- Static method
- Method call
- Flow control
Life Skills
Life skills track:
- Cover non-word representations of programs
(Give them a crypto puzzle, but we haven't introduced any crypto or codes just yet)
Section 1.5 : Case Study with DrawFig
Material
Modularization of drawing program
- Breaking into pieces - not just the box, or the x, or the rocket
- but breaking down into common components, common to all parts of the program
- Take hello world program...
- Modularize it, make it reusable...
Chapter 1 Summary
Worksheet: definitions from book on one side (quiz material)
Source code for a procedural program (fizz baz foo bar buzz bam) on the other
There are N bugs, find the N bugs (self-work)
Discuss the program flow with a partner (group work)
How do we represent this program in a clear and concise way?
Transform foo bar into get ready for school - proper names can help clarify understanding
Lecture: broken up into 1.5 parts
- Broad brush-stroke over chapter 1
- Memorize definitions
- Know XYZ for quiz
- Spend a majority of time on in-class exercises
- FOCUS: KNOW HOW TO RUN/SET UP HELLO WORLD
- FOCUS: KNOW DEFINITIONS
- FOCUS: KNOW FUNCTIONS AND PROGRAM FLOW
- FOCUS: KNOW ERRORS/EXCEPTIONS
Quiz/exam/assessment material:
- Hello world, basics, public static void main, syntax
- Definitions matchup
- Functions questions
- Program flow questions
- Exceptions: spot the bug... spot logical errors... spot syntax errors...
Need to make beginnings of class difficult, to send the message that they can't let it slide
Deliverables
Intro to Java
- Know how to set up and run hello world
- How does it work, role of compliler vs editor
- JRE vs JVM vs JDK
- Public static void main
- EEverything is a class
- Filename = class name
- Correct syntax, protected keywords
Definitions
- algorithm, program, hardware/software, digital, binary, program execution, compiler, JVM, JDK, JRE, class header, class methods, statements, string literals, system.out.println, escape chars, print vs println, exception, decomposition, flow control, iterative enhancement, static method
Functions and program flow
- How to follow the flow of a program through multiple (nested) function calls
- When to use a static method or static class
- How to follow a nested program
- How to break up a task into less complex parts, with reusability
- Translate between procedure and function
Errors and logical problems
- Spotting the error
- Red herring: error, plus (unclear) compiler output
Chapter 1 Code
Lecture Code
Exceptions code
- Tie in with the Java API, let them know it exists and where it is, we'll talk more about it and how to use it in the future
ASCII rocket code
- From Reges and Stepp (no patterns/functions til next section)
Real rocket code - Vertical code (solve a basic equation)
- Good to keep math at the forefront. Just throwing it out there.
Worksheet Code
Density code, DensityConversion code
- Description: write a program that prints a physical property of your choice for ten different chemical compounds (in metric units). Write another program that prints the physical property of your choice (in English units).
- Example: Look up densitiy, (g/cm3). Program to print 10 densities, in g/cm3. Then, program to convert to lb/ft3, and print 10 densities, in lb/ft3.
- Specifications: Your program must print a banner or header that states the physical property. Your program must print the (correct) units of the physical property.
- Submitting: Deliverables, what to turn in, what NOT to turn in, what format, how, when, with what
Homework Code
(What homework problems?)
Chapter 1 Goodies
Profiles
- James Gosling - Oracle, tech companies, open source vs. enterprise, hackers vs suits
- Grace Hopper
Puzzle 1
How the puzzles work: you follow along throughout the course of the quarter, each puzzle leads to the next
Puzzle 1 will be a ROT cipher/Caesar cipher
- Encodes a quote from class, and a secret word: "the secret word is xyz"
Chapter 2: Primitive Data and Definite Loops
Sections:
2.1 Basic data concepts
2.2 Variables
2.3 The for loop
2.4 Managing complexity
2.5 Case study: Hourglass figure
Note: this chapter has two halves. The first half examines expressions, particularly for numerical data and variables. The second half examines control structures, used to perform repetitive actions.
The goal here is pattern-finding - what repeated actions will lead to the desired outcomes? This loop will cover definite loops (loops that repeat a predetermined number of times). Next chapter will cover indefinite loops.
Section 2.1: Basic data concepts
Definitions
Definitions:
- Data type
- Expression
- Evaluation
- Operator
- Precedence
- Casting
Material
Java primitive types:
- int
- double
- char
- boolean
Why important? because computers represent data and numbers in memory, and we need to understand how (rules)
How we input data and operations:
- literals (literal values, 2.19)
- expressions (assembling stuff, related by operators)
Operators:
- Mix of computer science and math
- Operators mean, performing a set of tasks (or, a task)
- Some operators require 2 things, e.g., 2+3
- Some operators require 1 thing, e.g., inverse(A) or d/dx( x^2 )
Literals
- Different data types
- Decimals vs integers (especially with operations)
- Booleans: true/false (keywords)
Arithmetic
- Division weirdness
- Remainder operator
- Goldfish analogy - small memory capacity - 2 digits - what happens after 99? start over
Precedence and order of operations
- Grammar connection
- Be explicit in what you're asking computer to do
Casting and file types
- can deal with int/float differences by casting
- Again, be explicit: (int)( ......... )
Section 2.2: Variables
Definitions
Definitions:
- Variable
- Declaration
- String concatenation
- Increment/decrement
Materials
You have to declare it available in order to use it
You have to declare what kind of variable it is
Can combine declaration and assignment
Can declare multiple variables on one line
Concat:
- To combine strings, use plus operator
- But be careful with number/string types
- Example:
2 + 3 + " hello " + 7 + 2*3 - Multiplication first
- Then only addition is left, so evaluate left to right
- 2+3 first becomes 5
- Then the remaining plus operators turn into string concatenation operators
- Better: be explicit about what types are being added to what, and in what order.
Increment/decrement:
- Useful shorthand operators
Section 2.3: For Loop
Definitions
Definitions:
- Control structure
Material
Purpose:
- Replace redundant tasks
Syntax of for loops
- Initialize a loop variable, create a condition
- Body of for loop is executed if condition is true
- Tracing loops
- Curly braces are important
Some patterns:
- If we want to execute a loop N times, can use two patterns: i=0, or i=1
- Nested for loops
- Print vs println with nested for loops
Section 2.4: Managing Complexity
Definitions
Definitions:
- Scope
- Localizing variables
- Infinite loop
- Pseudocode
- Class constant
Material
Scope:
- Helps to manage complexity of variable space
- Curly braces represent scope
- Variable defined inside braces is not defined outside those braces
Examine examples, errors, why it crashes, and how it crashes
Tracing a for loop:
- Initialization
- Test
- Body
- Update
- End
Pseudocode:
- Part of communicating about code
- Simple examples to give them an idea
- More complex pattern-finding, indices (2(i-1)), etc...
- Constants (for drawing patterns, e.g., number of lines)
- Public static final type name = (...) <-- permanently, same value, accessible by static methods
- We are still thinking PROCEDURALLY
Section 2.5: Case Study: Hourglass Figure
Material
Detailed example of how to work out a pattern and translate it into modular code.
Single-line pattern, indexing and offset shifts
Entire code, refactoring into methods and modularization
Overall: tackling a complex problem by breaking it down into simpler parts, taking small steps toward end goal, managing complexity
Chapter 2 Summary
Deliverables:
- Primitive type expressions and literals
- Casting
- Assigning/changing variable values
- For loops, for loop patterns
- Scope
- Pseudocode
- Constants
Assessment Material
Dealing with primitive types in expressions, and order of operations, etc.
- How to interpret incrementing and other assignment operators
- For loops:
- Know how to follow control
- Syntax
- Curly braces
- Scope
- Pseudo code to describe how to draw a pattern
- Constants
- Syntax
- Explaining the purpose (e.g., which of the following would be a good variable to program as public static final z)
- 99 bottles of root beer
Chapter 2 Code
Lecture Code
Quadratic equation
- Given a, b, c
- Assume (or implement in driver) check that b2-4ac > 0
Worksheet Code
Worksheet: watch your money grow
- Suppose you invest X in Y, at rate R
- Watch how quickly your money grows after Z years, printing row by row
Chapter 2 Goodies
Profiles
Charles Babbage
- Digital representation
- Computer
Carl Freidrich Gauss
- Adding up the sum of all integers from 1-100
- First approach: don't manage the complexity, just dive in and have at it
- Gauss: found an alternative pattern
- By adding last and first, then second last and second first, and so on, got same number for each
- Utilizing this turned a sum problem into a multiplication problem
- Lesson: by changing your pattern of thinking/problem solving, can open up new, better, faster approaches
Chapter 3: Parameters and Objects
Sections:
3.1 Parameters
3.2 Methods returning values
3.3 Using objects
3.4 Projectile trajectory
Section 3.1: Parameters
Definitions
Definitions:
- Parameter/parametric/parameterize
- Formal parameter
- Actual parameter
- Method signature
- method overloading
- Parameters = arguments (language)
Material
Parameterization:
- Form of abstraction
- What we are doing is generalizing a task
- Not just solving x2 + 4x + 2 = 0, solving ax2 + bx + c = 0
- Example code for parameterizing print statements
- How do you use/declare parameters in a class method?
- How not to declare parameters - not writeSpaces(int numLines)
- Differentiating between TYPE DECLARATION/DEFINITION, and the ACTUAL METHOD CALL
- Parameters: data --> method
- Each method is defined to have its own scope, as denoted by
{}. So how to pass data through the scope?
Scope:
- Scope means, all variables from outside the function are unknown
- Data is passed in as fresh
- Parameters are variables that are predefined in that fresh variable space
- Scope ties in with return values - once you do a calculation, how do you get the result out?
- Return values/return variables.
- Overloading methods: so that we can handle variations in the input data.
Section 3.2: Methods that Return Values
Definitions
Definitions:
- Return
- Object
- class
Material
Example of when you need to return a value: square root function
- Method syntax: how to declare a function's return type (void --> int/double/etc)
Real life example: Java Math (static class, static methods)
- Math constants E and PI
- Casting and math functions
- How to explore the Java API
- Just focus on Math, don't get overwhelmed
Math example:
- Carl Gauss, sum of first 100 integers
- Excellent example of how different ways of tackling problems (different algorithms) can lead to vast speedups
- Formula:
$ \sum_{i=1}^{n} i = \dfrac{ n(n+1) }{2} $
To program this formula:
public static int sum(int n) {
return (n * (n+1)) / 2;
}
How return statements work: value is returned where function call happens, so we need to assign the result of the function call to a variable.
Math example: Pythagorean theorem
- find the hypotenuse, given sides a and b
public static double hypotenuse( double a, double b ) {
double c = Math.sqrt( Math.pow(a, 2) + Math.pow(b, 2) );
return c;
}
How to debug, if this isn't working? Split calculation into more parts: csquared, c, etc.
Section 3.3: Using Objects
Definitions
Definitions:
- Object
- Class
- Index
- Immutable object
- Exception
- Console input
- Constructor
- Token
- Whitespace
- Package
- Declaration
Material
Primitive types and objects:
Outline:
- String objects (and return values and mutability)
- Interactive programs and user input (scanner0
- Sample interactive program
This is where we focus on Strings
- Tokenization, strings, etc - that gets at arrays, which is Chapter 7.
String tokenization section for ciphers.
Metaphor: Why experimentation is necessary in programming.
- We talked about James Gosling.
- Does your brain work like his?
- Does your brain work like Java compiler?
- Nope! So we can't just think our way through problems
- Need to be improving our mental compiler, our mental model of what the code will do
- Iterative refinement
In-Class Worksheet
In-class worksheet: Caesar Cipher
- How Caesar cipher works
- Specifications: give them a main method, and call the cipher. They define the cipher method.
Handout for Caesar Cipher:
- Give them a hint on how to do the char shift
- Encourage playing around/experimentation
Section 3.4: Projectile Trajectory
Material
Case study with complex example, covering:
- Input parameters
- methods that return values
- mathematical calculations
- scanner for user input
Basic projectile problem: given an initial velocity and angle, answer questions;
- Highest point, and the time for that point
- Time to ground
- Distance (horizontal distance) traveled
- Basically: x/y path lengths, and times
- Print usage/intro
- Print pretty table
Program:
- User input
- Get vel at t=0
- Get angle at t=0
- Get steps to display
- Prep calc
- For t in Nsteps
- Increment t
- Increment x
- Increment y
Chapter 3 Summary
Assessment Material
Parameters:
- Notation
- Purpose
- How they work
Return values:
- Notation
- Purpose
- How they work
Objects
- LOTS of definitions nad new concepts
- Use of String objects to understand these concepts
Projectile trajectory:
- Focusing on a complex application/program
Chapter 3 Code
Lecture Code
Sum of integers
- Sum of first n integers, ties in with Carl Freidrich Gauss, algorithmic thinking, pattern-finding
Pythagorean theorem
- hypotenuse
- let's recap what we have so far: we've solved a projectile gravity equation, solved a quadratic equation, summed up the first N integers, solved the Pythagorean theorem
- no limit to the kinds of mathematics we can implement
- very deep and profound connection between programming and mathematics
Worksheet Code
Caesar cipher
- Char shift is the key here, getting them to think about how to implement modular arithmetic AND how to use that integer offset to shift chars
- Get them to link chars with integers
- Hint: try executing this Java code: "'a' + 5"
Chapter 4: Conditional Execution
Sections:
4.1 If/else statements
4.2 Cmulative algorithms
4.3 Text processing
4.4 Methods with conditional execution
4.5 Case study: BMI
Last chapter: solving complex programming problems with repeated tasks using for loops, flexibility via class constants, and user input.
This chapter: conditional execution. Expand our understanding of common programming situations. With new topics, revisit old material.
Section 4.1: If Else
Conditional logic
- Sometimes, but not always, we want to execute particular lines of code.
- Can use if/else structure to branch execution
- Relational operators: different kind of operations
- Up until now, have been doing operations on numbers to obtain new numbers
- Example, 12*2, assign to new variable int a = 12*2
- No true/false nature, it is always true because we're creating a definition, we're defining a new rule
- Now, we'll be using equals in a different sense
"Does a equal 24?" vs. "a is equal to 24"
if( a == 24 ) vs. int a = 24;
Can introduce other comparison operators:
- Equals
- Not equals
- Less than/greater than
- Less than or equal to/greater than or equal to
Revisit operator precedence:
- Unary operators
- Multiplication operators
- Additive operators
- Relational operators
- Equality operators
- Assignment operators
Nested if/else:
- Patterns for designing logic structures
- If red/if blue/if green: can combine into structure, because only one can be true
- if/else
Nested, only one is true:
if( condition1 ) {
...
} else if( condition2 ) {
...
} else if( condition3 ) {
...
}
Multiple conditions can be true:
if( condition1 ) {
...
}
if( condition2 ) {
...
}
if( condition3 ) {
...
}
Corresponding diagram representations: (see book)
Finding the pattern:
- Analyzing the problem helps determine what kind of control structure you need
- Combination of branches doesn't matter: if statements
- Only one, or none, of branches should be taken: if/else if/else if
- Only one, and exactly one, branch should be taken: if/else if/else if/else
Weird equality stuff:
- For strings and other objects, == doesn't work great
- This is shorthand for a GENERAL concept, which is, EQUALS
Metaphor:
- Two numbers: 5 and 5. I know how to check if they're equal. Equality is defined rigorously, based on the way the real numbers are defined.
- Two lamps: A and B. Are these two lamps equal?
- Equal in light? Equal in how much power they draw?
- Equal in appearance? Independent of function? (Wax lamp)
- Equal in the cosmic sense? Composed of the exact same atoms? What about a perfect atom-by-atom reproduction?
- Equality is something we have to define
Objects and equality:
- Always use obj1.equals(obj2), not == (equals() is the more general)
Refactoring/modularizing if/else code:
- if A: do a bunch of stuff; if B: do a bunch of stuff; if C: do a bunch of stuff
- rewrite, define an action X, so then it becomes def X do a bunch of stuff; if A do X; if B do X; if C do X
Multiple conditions for if/else:
- AND operator (if a number is between A and B, that can be expressed as the combination of 2 conditions: number > A, number < B)
- OR operator (A, or B, or both)
Section 4.2: Cumulative Algorithms
Definitions
Definitions:
- Cumulative algorithm
- Roundoff error
Material
Connect loops with algorithms:
- Finding average, finding sum, finding min/max
Min and max:
- Exploring a "simple" idea like taking the maximum can be tricky to implement
- Let's say we're looking at surface temperature of a planet
- All negative numbers; if you initialize your minimum to 0, you'll get a minimum of 0 - incorrect
- To set a maximum: should start with data
Example: hailstone sequence
- pick a starting number
- If odd, e.g., do 3x+1, and if even, e.g., do (x/2)
- Start with an initial minimum/maximum guess
- Go through sequence, N steps, calculate a minimum and maximum
Example: cumulative sum with if
- if statement to check for valid input values
- if statement to count number of negative numbers
- user input (N steps), user input (numbers)
Roundoff error:
- Checking equality is tricky due to roundoff error
- Comes up around cumulative algorithms
- Example: 2.77500000000000005
- Float roundoff errors
- Truncate a number at a certain decimal place
- Replicating digits lopped off
- Why, if 2.1 and 3.8, no repeating decimals, would Java turn them into repeating decimals?
- Due to internal Java representation: representing decimal numbers as powers of 2, not powers of 10
- Simple example: add 0.1 (can't be represented exactly because base 2)
Checking equality:
- Use tolerance
abs(A-B) < 0.01
Section 4.3: Text Processing
Definitions
Definitions:
- Text processing
- ASCII
Material
Char type:
- comes from C language
- strings composed of chars
- charAt() method
Chars and ints: primitive types
- have already seen (with Caesar cipher) that we can treat chars like numbers, operate on them, increment them
Cumulative text algorithm
- Count # characters occurring in string
- Cumulative concatenation
Printf:
- More control over print format
%ddigit, f for float, etc.- Table of common print formats
%d %8d %-6d %f %.2f %16.2f %s %8s %-9s
Handout: Caesar Cipher
Cracking the Caesar cipher: letter frequencies, and also brute-forcing
Section 4.4: Conditional Execution with Methods
Definitions
Definitions:
- Precondition
- Postcondition
Basically, this section addresses: how do we ensure certain conditions are met before/after we run a method?
Exceptions:
- Occur at runtime, not compile time
- Previously, saw exceptions with scanner (nextInt(), not an int)
Assessment questions:
When would you see an exception?
- Run time
- Compile time
When would you see a logic error?
- Run time
- Compile time
When would you see a syntax error?
- Run time
- Compile time
Functions (analogy):
- Factorial function: can compute 0!, 1!, 2!, etc
- Cannot ocmpute negative factorial, so return undefined
- Mathematical approach: exceptions are definitions, rules that they can define
Documentation:
- Tell the user how to use it
Creating exceptions:
- exceptions are objects
- Pieces of grouped data/instructions
- Need to create new exceptions before we can throw them
- When we throw an exception, it stops the code
- We also want to add comments! and a useful exception message!
Similar concept (language): assertions
- C and C++, Python, assert(True)
Revisiting return values: example
- New application of conditional logic to comparison operators:
- Example of overloading (int and float)
- If statement for ints, etc.
- more templating: again, comes down to understanding what kind of control structure you need
def method() {
if( x > y) {
return x
}
return y
}
Revisiting return values: another example
- String: find particular index of particular character
- built-in String method, indeOf
- r = s.indexOf('r')
- make our own static method: myIndexOf
- called like, r = myIndexOf('r',s)
- How to locate a character in a string?
- Can loop through each char of string (i in str length)
- Then, can use charAt to see if this char is our char
- Note on why not static method:
- static method doesn't remember our place
- if we wanted to say, "find the next r," we'd have to pick up where we left off
- that means, saving a piece of data, which means, we can't use static method
- Implement return method
- return our char index
- else, what to do if char not found?
- convention: return -1 (or, 999,999)
- Scope:
- allows us to say, when we get to return, we can drop everything and leave, everything will be cleaned up
String index and bounds:
- index of string of N characters: starts at 0, runs to N-1
- If we access a string at index N, Java will raise an exception
- Exception won't happen until runtime - that's when Java will know string length, and will know string is not long enough
Following logical branches:
- Example of program with nested if/else if/else if
- if you have a return type defined in the method header (e.g., string), that means you have to have a return statement, no matter what, for all cases (or, throw an exception)
- Can eliminate some code if we assume we know the SAT score is in the range 600-2400
- Assuming is BAD!!!
if(totalSAT<600 || totalSAT > 2400 ) {
raise IllegalArgumentException
} else {
...
}
Section 4.5: BMI Study
BMI:
- Calculation based on input values (weight, height)
- Iterative enhancement: one thing at a time
- Compute results for one person (no structure)
- Write program for 2 people (no structure)
- Finally, assemble well-structured program
One person unstructured:
- height and wieght, read in
- Calulate BMI from that
- One line at a time, get x, print x, get y, print y, calc z, print z
- use printf
- use conditional to classify weight status
- again, one line after another
Two person unstructured:
- to handle a second person, eneed to prompt for both people's data, then do calcs, then print results all at onc
- New structure:
- chunk of code for intro
- chunk of code for person 1
- chunk of code for person 2
- print person 1
- print person 2
Nowmove on to a more structured solution:
- giveIntro
- bm1 = getbmi()
- bm2 =getbmi()
- reportresults(bm1,bm2)
Heuristics: 1. Each method should have a coherent set of responsibilities 2. No one method should do too large a share of the overall task 3. Coupling and dependencies between methods should be minimized 4. The main method should be a concise summary of the overall program 5. Data should be owned at the lowest possible level (abstract away detail and complexity)
Quotes
Murphy's Law:
- If the user can do something wrong, they will do something wrong
Hanscombe's Law:
- Never attribute to malice what is equally attributable to stupidity