# SICP Exercise 1.4

sicp

Exercise from SICP:

Observe that our model of evaluation allows for combinations whose operators are compound expressions. Use this observation to describe the behavior of the following procedure:

```
(define (a-plus-abs-b a b)
((if (> b 0) + -) a b))
```

# Solution

There are two possible branches, if b is positive then we get:

```
((if (> b 0) + -) a b)
((if #t + -) a b)
(+ a b)
```

Wheras if b is non-positive we get

```
((if (> b 0) + -) a b)
((if #f + -) a b)
(- a b)
```

So we always get a added to the absolute value of b. This is a nice use of a first order function.