manual.yml: fix references to javascript, and clarify semantics of == (#2645)

remove inaccurate and confusing references to javascript; clarify semantics of ==

docs/content/manual/manual.yml

@@ -559,7 +559,7 @@ sections:
       hashes with only string keys), and "null".
 
       Booleans, null, strings and numbers are written the same way as
-      in javascript. Just like everything else in jq, these simple
+      in JSON. Just like everything else in jq, these simple
       values take an input and produce an output - `42` is a valid jq
       expression that takes an input, ignores it, and returns 42
       instead.
@@ -2116,16 +2116,24 @@ sections:
       - title: "`==`, `!=`"
         body: |
 
-          The expression 'a == b' will produce 'true' if the result of a and b
+          The expression 'a == b' will produce 'true' if the results of evaluating
-          are equal (that is, if they represent equivalent JSON documents) and
+          a and b are equal (that is, if they represent equivalent JSON values) and
           'false' otherwise. In particular, strings are never considered equal
-          to numbers. If you're coming from JavaScript, jq's == is like
+          to numbers.  In checking for the equality of JSON objects, the ordering of keys
-          JavaScript's === - considering values equal only when they have the
+          is irrelevant.  If you're coming from JavaScript, please note that jq's `==` is like
-          same type as well as the same value.
+          JavaScript's `===`, the "strict equality" operator.
 
           != is "not equal", and 'a != b' returns the opposite value of 'a == b'
 
         examples:
+          - program: '. == false'
+            input: 'null'
+            output: ['false']
+
+          - program: '. == {"b": {"d": (4 + 1e-20), "c": 3}, "a":1}'
+            input: '{"a":1, "b": {"c": 3, "d": 4}}'
+            output: ['true']
+
           - program: '.[] == 1'
             input: '[1, 1.0, "1", "banana"]'
             output: ['true', 'true', 'false', 'false']
@@ -2145,8 +2153,8 @@ sections:
           "truthiness" than is found in JavaScript or Python, but it
           means that you'll sometimes have to be more explicit about
           the condition you want.  You can't test whether, e.g. a
-          string is empty using `if .name then A else B end`, you'll
+          string is empty using `if .name then A else B end`; you'll
-          need something more like `if .name == "" then A else B end` instead.
+          need something like `if .name == "" then A else B end` instead.
 
           If the condition `A` produces multiple results, then `B` is evaluated
           once for each result that is not false or null, and `C` is evaluated

tests/man.test

@@ -668,6 +668,14 @@ strptime("%Y-%m-%dT%H:%M:%SZ")|mktime
 "2015-03-05T23:51:47Z"
 1425599507
 
+. == false
+null
+false
+
+. == {"b": {"d": (4 + 1e-20), "c": 3}, "a":1}
+{"a":1, "b": {"c": 3, "d": 4}}
+true
+
 .[] == 1
 [1, 1.0, "1", "banana"]
 true