\@binrel command and refactor (#1487)

* \@binrel command and refactor

New `\@binrel{x}{y}` command renders `y` as if it's a bin/rel/ord like `x`.
This is equivalent to AMSTeX's `\binrel@{x}\binrel@@{y}`.
It will hopefully be useful for macros, such as `\pmb` (#1418).

Also refactor the (already duplicated) code for implementing this
functionality into buildCommon.binrelClass.

* Add tests; fix flow error

* Another test

* Move binrelClass to functions/mclass.js

* Remove expensive array destructuring polyfill

src/functions/font.js

@@ -1,6 +1,7 @@
 // @flow
 // TODO(kevinb): implement \\sl and \\sc
 
+import {binrelClass} from "./mclass";
 import defineFunction from "../defineFunction";
 import ParseNode from "../ParseNode";
 
@@ -69,17 +70,11 @@ defineFunction({
     },
     handler: ({parser}, args) => {
         const body = args[0];
-        // amsbsy.sty's \boldsymbol inherits the argument's bin|rel|ord status
-        // (similar to \stackrel in functions/mclass.js)
-        let mclass = "mord";
-        const atomType = (body.type === "ordgroup" && body.value.length ?
-            body.value[0].type : body.type);
-        if (/^(bin|rel)$/.test(atomType)) {
-            mclass = "m" + atomType;
-        }
+        // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
+        // argument's bin|rel|ord status
         return new ParseNode("mclass", {
             type: "mclass",
-            mclass,
+            mclass: binrelClass(body),
             value: [
                 new ParseNode("font", {
                     type: "font",

src/functions/mclass.js

@@ -3,6 +3,7 @@ import defineFunction, {ordargument} from "../defineFunction";
 import buildCommon from "../buildCommon";
 import mathMLTree from "../mathMLTree";
 import ParseNode from "../ParseNode";
+import type {AnyParseNode} from "../ParseNode";
 
 import * as html from "../buildHTML";
 import * as mml from "../buildMathML";
@@ -41,6 +42,37 @@ defineFunction({
     mathmlBuilder,
 });
 
+export const binrelClass = (arg: AnyParseNode) => {
+    // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
+    // (by rendering separately and with {}s before and after, and measuring
+    // the change in spacing).  We'll do roughly the same by detecting the
+    // atom type directly.
+    const atomType = (arg.type === "ordgroup" &&
+        arg.value.length ? arg.value[0].type : arg.type);
+    if (/^(bin|rel)$/.test(atomType)) {
+        return "m" + atomType;
+    } else {
+        return "mord";
+    }
+};
+
+// \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
+// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.
+defineFunction({
+    type: "mclass",
+    names: ["\\@binrel"],
+    props: {
+        numArgs: 2,
+    },
+    handler({parser}, args) {
+        return new ParseNode("mclass", {
+            type: "mclass",
+            mclass: binrelClass(args[0]),
+            value: [args[1]],
+        }, parser.mode);
+    },
+});
+
 // Build a relation or stacked op by placing one symbol on top of another
 defineFunction({
     type: "mclass",
@@ -52,21 +84,12 @@ defineFunction({
         const baseArg = args[1];
         const shiftedArg = args[0];
 
-        let mclass = "mrel";  // default. May change below.
+        let mclass;
         if (funcName !== "\\stackrel") {
-            // LaTeX applies \binrel spacing to \overset and \underset. \binrel
-            // spacing varies with (bin|rel|ord) of the atom in the argument.
-            // We'll do the same.
-            const atomType = (baseArg.type === "ordgroup" &&
-                baseArg.value.length ? baseArg.value[0].type : baseArg.type);
-            if (/^(bin|rel)$/.test(atomType)) {
-                mclass = "m" + atomType;
-            } else {
-                // This may capture some instances in which the baseArg is more
-                // than just a single symbol. Say a \overset inside an \overset.
-                // TODO: A more comprehensive way to determine the baseArg type.
-                mclass = "mord";
-            }
+            // LaTeX applies \binrel spacing to \overset and \underset.
+            mclass = binrelClass(baseArg);
+        } else {
+            mclass = "mrel";  // for \stackrel
         }
 
         const baseOp = new ParseNode("op", {

test/katex-spec.js

@@ -2999,6 +2999,23 @@ describe("\\tag support", function() {
     });
 });
 
+describe("\\@binrel automatic bin/rel/ord", () => {
+    it("should generate proper class", () => {
+        expect("L\\@binrel+xR").toParseLike("L\\mathbin xR");
+        expect("L\\@binrel=xR").toParseLike("L\\mathrel xR");
+        expect("L\\@binrel xxR").toParseLike("L\\mathord xR");
+        expect("L\\@binrel{+}{x}R").toParseLike("L\\mathbin{{x}}R");
+        expect("L\\@binrel{=}{x}R").toParseLike("L\\mathrel{{x}}R");
+        expect("L\\@binrel{x}{x}R").toParseLike("L\\mathord{{x}}R");
+    });
+
+    it("should base on just first character in group", () => {
+        expect("L\\@binrel{+x}xR").toParseLike("L\\mathbin xR");
+        expect("L\\@binrel{=x}xR").toParseLike("L\\mathrel xR");
+        expect("L\\@binrel{xx}xR").toParseLike("L\\mathord xR");
+    });
+});
+
 describe("A parser taking String objects", function() {
     it("should not fail on an empty String object", function() {
         expect(new String("")).toParse();