From 3dceb6eb35cb5698a0232bb543cabec8d3b4d1d1 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Tue, 27 Jun 2017 22:43:59 -0400
Subject: [PATCH 01/19] fixed some changes

---
 lib/query.js | 163 ++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 162 insertions(+), 1 deletion(-)

diff --git a/lib/query.js b/lib/query.js
index 52765b3..d7a9d5e 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -2,14 +2,18 @@
  * Functions to query properties of nodes
  */
 
+const {print} = require('math-parser')
+const build = require('./build')
+
 export const isIdentifier = node => node && node.type === 'Identifier'
 export const isApply = node => node && node.type === 'Apply'
+export const isParens = node => node && node.type === 'Parentheses'
 
 export const isOperation = node => isApply(node) && !isNumber(node)
 export const isFunction = node => isApply(node) && isIdentifier(node.op)
 
 // TODO: curry it?
-const _isOp = (op, node) => isApply(node) && node.op === op
+export const _isOp = (op, node) => isApply(node) && node.op === op
 
 export const isAdd = node => _isOp('add', node)
 export const isMul = node => _isOp('mul', node)
@@ -20,6 +24,8 @@ export const isPos = node => _isOp('pos', node)
 export const isAbs = node => _isOp('abs', node)
 export const isFact = node => _isOp('fact', node)
 export const isNthRoot = node => _isOp('nthRoot', node)
+export const isFraction = node => isNeg(node) ? isFraction(node.args[0]) : isDiv(node)
+export const isDecimal = node => isNumber(node) && getValue(node) % 1 != 0
 
 const relationIdentifierMap = {
     'eq': '=',
@@ -42,6 +48,47 @@ export const isNumber = node => {
     }
 }
 
+export const isInteger = node => {
+    return isNumber(node) && Number.isInteger(Number(node.value))
+}
+
+export const isConstantFraction = node => isFraction(node) && node.args.every(isNumber)
+export const isIntegerFraction = node => isFraction(node) && node.args.every(isInteger)
+
+export const isPolynomial = (node) => {
+    return isAdd(node) && node.args.every(isPolynomialTerm)
+}
+
+export const isVariableFactor = (node) =>
+    isIdentifier(node) ||
+    isPow(node) && isIdentifier(node.args[0])
+    && (isNumber(node.args[1]) || isVariableFactor(node.args[1]))
+
+export const isPolynomialTerm = (node) => {
+    if (isNumber(node) || isConstantFraction(node)) {
+        return true
+    } else if (isIdentifier(node)) {
+        return true
+    } else if (isPow(node)) {
+        const [base, exponent] = node.args
+        return (isIdentifier(base) || isPolynomial(base)) && isPolynomialTerm(exponent)
+    } else if (isNeg(node)) {
+        return isPolynomialTerm(node.args[0])
+    } else if (isMul(node)) {
+        return node.args.every(isPolynomialTerm)
+    }
+}
+
+export const isImplicit = (node) => {
+    if (isMul(node)) {
+        return node.implicit
+    } else if (isNeg(node)) {
+        return isImplicit(node.args[0])
+    } else {
+        return false
+    }
+}
+
 // check if it's a number before trying to get its value
 export const getValue = node => {
     if (node.type === 'Number') {
@@ -52,3 +99,117 @@ export const getValue = node => {
         return getValue(node.args[0])
     }
 }
+
+export const getNumerator = (node) => isNeg(node) ? getNumerator(node.args[0]) : node.args[0]
+export const getDenominator = (node) => isNeg(node) ? getDenominator(node.args[0]) : node.args[1]
+
+// TODO: handle multivariable polynomials
+// Get degree of a polynomial term
+// e.g. 6x^2 -> 2
+export const getPolyDegree = (node) => {
+    if (isNumber(node)) {
+        return 0
+    } else if (isIdentifier(node) || isPolynomial(node)){
+        return 1
+    } else if (isPow(node)) {
+        return getValue(node.args[1])
+    } else if (isMul(node)){
+        return getPolyDegree(node.args[1])
+    } else if (isNeg(node)) {
+        const variable = node.args[0]
+        return getPolyDegree(variable.args[1])
+    } else {
+        return null
+    }
+}
+
+export const getCoefficient = (node) => {
+    if (isNumber(node)) {
+        return node
+    } else if (isIdentifier(node) || isPow(node)) {
+        return build.numberNode('1')
+    } else if (isNeg(node)) {
+        const result = build.applyNode('neg', [getCoefficient(node.args[0])])
+        result.wasMinus = node.wasMinus
+        return result
+    } else if (isMul(node)) {
+        const numbers = node.args.filter(arg => isNumber(arg) || isConstantFraction(arg))
+        if (numbers.length > 1) {
+            return build.mul(...numbers)
+        } else if (numbers.length > 0) {
+            return numbers[0]
+        } else {
+            return build.numberNode('1')
+        }
+    }
+}
+
+export const getBase = node => {
+    
+}
+
+export const getVariableFactors = (node) => {
+    if (isVariableFactor(node)) {
+        return [node]
+    } else if (isMul(node)) {
+        return node.args.filter(isVariableFactor)
+    } else if (isNeg(node)) {
+        // TODO: figure out how to handle (x)(-y)(z)
+        return getVariableFactors(node.args[0])
+    } else {
+        return []
+    }
+}
+
+export const getVariableFactorName = (node) => {
+    if (isIdentifier(node)) {
+        return node.name
+    } else if (isPow(node)) {
+        return getVariableFactorName(node.args[0])
+    } else {
+        return null
+    }
+}
+
+export const sortVariables = (variables) =>
+    variables.sort(
+        (a, b) => getVariableFactorName(a) > getVariableFactorName(b))
+
+// TODO: fix the case of single polynomials ex. 2x^2 
+export const getCoefficientsAndConstants = (node) => {
+    const coefficientMap = {}
+    const constants = []
+
+    node.args.forEach(arg => {
+        if (isNumber(arg) || isConstantFraction(arg)) {
+            constants.push(arg)
+        } else {
+            const sortedVariables = sortVariables(getVariableFactors(arg))
+
+            const coefficient = getCoefficient(arg)
+            const implicit = isImplicit(arg)
+
+            const key = sortedVariables.length > 1
+                ? print(build.applyNode('mul', sortedVariables, {implicit}))
+                  : print(sortedVariables[0])
+
+            if (!(key in coefficientMap)) {
+                coefficientMap[key] = []
+            }
+
+            coefficientMap[key].push(coefficient)
+        }
+    })
+
+    return {coefficientMap, constants}
+}
+
+// returns true if two nodes have the same base variable
+// e.g. (x + 1)^1 and (x + 1)^3 , true
+// e.g. x^2, (x + 1)^2, false
+export const hasSameBase = (node1, node2) => {
+    return print(node1) == print(node2)
+        || isPow(node1) && print(node1.args[0]) == print(node2)
+        || isPow(node2) && print(node1) == print(node2.args[0])
+        || isPow(node1) && isPow(node2) && print(node1.args[0]) == print(node2.args[0])
+}

From c72cb3d4ac1937e1585ae199a4d678e0d1dcf141 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Fri, 30 Jun 2017 15:47:12 -0400
Subject: [PATCH 02/19] fixed getCofficientAndConstant

---
 package-lock.json | 4379 ---------------------------------------------
 package.json      |    2 +-
 2 files changed, 1 insertion(+), 4380 deletions(-)
 delete mode 100644 package-lock.json

diff --git a/package-lock.json b/package-lock.json
deleted file mode 100644
index 0f528a6..0000000
--- a/package-lock.json
+++ /dev/null
@@ -1,4379 +0,0 @@
-{
-    "name": "math-nodes",
-    "version": "0.1.10",
-    "lockfileVersion": 1,
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-            "dev": true
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-            "integrity": "sha1-xGDfCEkUY/AozLguqzcwvwEIez0=",
-            "dev": true
-        },
-        "acorn-dynamic-import": {
-            "version": "2.0.2",
-            "resolved": "https://registry.npmjs.org/acorn-dynamic-import/-/acorn-dynamic-import-2.0.2.tgz",
-            "integrity": "sha1-x1K9IQvvZ5UBtsbLf8hPj0cVjMQ=",
-            "dev": true,
-            "dependencies": {
-                "acorn": {
-                    "version": "4.0.13",
-                    "resolved": "https://registry.npmjs.org/acorn/-/acorn-4.0.13.tgz",
-                    "integrity": "sha1-EFSVrlNh1pe9GVyCUZLhrX8lN4c=",
-                    "dev": true
-                }
-            }
-        },
-        "acorn-globals": {
-            "version": "3.1.0",
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-            "integrity": "sha1-/YJw9x+7SZawBPqIDuXUZXOnMb8=",
-            "dev": true,
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-                    "integrity": "sha1-EFSVrlNh1pe9GVyCUZLhrX8lN4c=",
-                    "dev": true
-                }
-            }
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-                    "dev": true
-                },
-                "string-width": {
-                    "version": "1.0.2",
-                    "resolved": "https://registry.npmjs.org/string-width/-/string-width-1.0.2.tgz",
-                    "integrity": "sha1-EYvfW4zcUaKn5w0hHgfisLmxB9M=",
-                    "dev": true
-                }
-            }
-        },
-        "yargs-parser": {
-            "version": "4.2.1",
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-            "integrity": "sha1-KczqwNxPA8bIe0qfIX3RjJ90hxw=",
-            "dev": true,
-            "dependencies": {
-                "camelcase": {
-                    "version": "3.0.0",
-                    "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-3.0.0.tgz",
-                    "integrity": "sha1-MvxLn82vhF/N9+c7uXysImHwqwo=",
-                    "dev": true
-                }
-            }
-        }
-    }
-}
diff --git a/package.json b/package.json
index 469e868..bd3adbd 100644
--- a/package.json
+++ b/package.json
@@ -42,6 +42,6 @@
         "webpack": "^2.2.1"
     },
     "dependencies": {
-        "math-parser": "^0.10.5",
+        "math-parser": "^0.10.5"
     }
 }

From f1d1e81cf1960828653baf5b2c35eae00a75eb32 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Fri, 30 Jun 2017 15:49:21 -0400
Subject: [PATCH 03/19] pushing

---
 lib/__test__/query.test.js |  1 -
 lib/query.js               | 19 +++++++------------
 2 files changed, 7 insertions(+), 13 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index b9f7510..1cd52aa 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -66,7 +66,6 @@ describe('query', () => {
     ])
     
     it('isIdentifier', () => {
-        console.log(query.getCoefficientsAndConstants(parse('2/3 + 3 + cos(4)')))
         assert(query.isIdentifier(x))
         assert(!query.isIdentifier(a))
     })
diff --git a/lib/query.js b/lib/query.js
index ef6eb9d..962f027 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -65,7 +65,7 @@ export const isVariableFactor = (node) =>
     && (isNumber(node.args[1]) || isVariableFactor(node.args[1]))
 
 export const isPolynomialTerm = (node) => {
-  if (isNumber(node) || isConstantFraction(node) || isDecimal(node)) {
+    if (isNumber(node) || isConstantFraction(node) || isDecimal(node)) {
         return true
     } else if (isIdentifier(node)) {
         return true
@@ -111,11 +111,11 @@ export const getNumerator = (node) => {
 }
 
 export const getDenominator = (node) => {
-  if (isFraction(node)) {
-    return isNeg(node) ? getDenominator(node.args[0]) : node.args[1]
-  } else {
-    return null
-  }
+    if (isFraction(node)) {
+        return isNeg(node) ? getDenominator(node.args[0]) : node.args[1]
+    } else {
+        return null
+    }
 }
 
 // TODO: handle multivariable polynomials
@@ -159,10 +159,6 @@ export const getCoefficient = (node) => {
     }
 }
 
-export const getBase = node => {
-    
-}
-
 export const getVariableFactors = (node) => {
     if (isVariableFactor(node)) {
         return [node]
@@ -216,7 +212,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
     } else {
         others.push(node)
     }
-    
+
     return {coefficientMap, constants, others}
 }
 
@@ -229,4 +225,3 @@ export const hasSameBase = (node1, node2) => {
         || isPow(node2) && print(node1) == print(node2.args[0])
         || isPow(node1) && isPow(node2) && print(node1.args[0]) == print(node2.args[0])
 }
-

From 9ccc904f6509e9fb37d22f25213bd8405ddbd452 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Fri, 30 Jun 2017 17:06:08 -0400
Subject: [PATCH 04/19] fixed getCoefficientAndConstants

---
 lib/query.js | 28 ++++++++++++++--------------
 1 file changed, 14 insertions(+), 14 deletions(-)

diff --git a/lib/query.js b/lib/query.js
index 962f027..0be5212 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -191,24 +191,24 @@ export const hasConstantBase = node => isPow(node) && isNumber(node.args[0])
 export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants = [], others = []) => {
     if (isNumber(node) || isConstantFraction(node)) {
         constants.push(node)
-    } else if(isPolynomialTerm(node) && !hasConstantBase(node)) {
-        const sortedVariables = sortVariables(getVariableFactors(node))
-
-        const coefficient = getCoefficient(node)
-        const implicit = isImplicit(node)
-        const key = sortedVariables.length > 1
-              ? print(build.applyNode('mul', sortedVariables, {implicit}))
-              : print(sortedVariables[0])
-
-        if (!(key in coefficientMap)) {
-            coefficientMap[key] = [coefficient]
-        } else {
-            coefficientMap[key].push(coefficient)
-        }
     } else if(isPolynomial(node) || isApply(node)) {
         node.args.forEach(function(arg) {
             getCoefficientsAndConstants(arg, coefficientMap, constants, others)
         })
+    } else if(isPolynomialTerm(node) && !hasConstantBase(node)) {
+      const sortedVariables = sortVariables(getVariableFactors(node))
+
+      const coefficient = getCoefficient(node)
+      const implicit = isImplicit(node)
+      const key = sortedVariables.length > 1
+            ? print(build.applyNode('mul', sortedVariables, {implicit}))
+            : print(sortedVariables[0])
+      
+      if (!(key in coefficientMap)) {
+        coefficientMap[key] = [coefficient]
+      } else {
+        coefficientMap[key].push(coefficient)
+      }
     } else {
         others.push(node)
     }

From 4f769a240acb5e324e0cdb69b8f226f726ea08fb Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Fri, 30 Jun 2017 23:54:06 -0400
Subject: [PATCH 05/19] fixed comments

---
 .babelrc                                      |  1 -
 lib/__test__/__snapshots__/query.test.js.snap | 38 ++++++++--
 lib/__test__/query.test.js                    | 15 ++++
 lib/query.js                                  | 69 ++++++++++++-------
 4 files changed, 95 insertions(+), 28 deletions(-)

diff --git a/.babelrc b/.babelrc
index 0f0752e..e41d5fc 100644
--- a/.babelrc
+++ b/.babelrc
@@ -1,7 +1,6 @@
 {
     "presets": ["es2015"],
     "plugins": [
-        "transform-flow-strip-types",
         "transform-object-rest-spread"
     ]
 }
\ No newline at end of file
diff --git a/lib/__test__/__snapshots__/query.test.js.snap b/lib/__test__/__snapshots__/query.test.js.snap
index bc9e0b6..a819718 100644
--- a/lib/__test__/__snapshots__/query.test.js.snap
+++ b/lib/__test__/__snapshots__/query.test.js.snap
@@ -35,6 +35,19 @@ exports[`query getCoefficientsAndConstants 2 x y z 1`] = `
 exports[`query getCoefficientsAndConstants 2/3 + 3 + cos(4) 1`] = `
 {
     "others": [
+        {
+            "type": "Apply",
+            "op": {
+                "type": "Identifier",
+                "name": "cos"
+            },
+            "args": [
+                {
+                    "value": "4",
+                    "type": "Number"
+                }
+            ]
+        }
     ],
     "constants": [
         {
@@ -54,10 +67,6 @@ exports[`query getCoefficientsAndConstants 2/3 + 3 + cos(4) 1`] = `
         {
             "value": "3",
             "type": "Number"
-        },
-        {
-            "value": "4",
-            "type": "Number"
         }
     ],
     "coefficientMap": {
@@ -120,6 +129,27 @@ exports[`query getCoefficientsAndConstants 2x^3 + 3 1`] = `
 }
 `;
 
+exports[`query getCoefficientsAndConstants 3x^2 * 2x^2 1`] = `
+{
+    "others": [
+    ],
+    "constants": [
+    ],
+    "coefficientMap": {
+        "x^2": [
+            {
+                "value": "3",
+                "type": "Number"
+            },
+            {
+                "value": "2",
+                "type": "Number"
+            }
+        ]
+    }
+}
+`;
+
 exports[`query getCoefficientsAndConstants x^3 + y^3 + x y z + 3 1`] = `
 {
     "others": [
diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 1cd52aa..c8fbb2b 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -63,6 +63,7 @@ describe('query', () => {
         '2x^3 + 3',
         'x^3 + y^3 + x y z + 3',
         '2/3 + 3 + cos(4)',
+        '3x^2 * 2x^2'
     ])
     
     it('isIdentifier', () => {
@@ -137,6 +138,20 @@ describe('query', () => {
 
     it('isConstantFraction', () => {
         assert(query.isConstantFraction(parse('2.2 / 3')))
+        assert(!query.isConstantFraction(parse('x / 3')))
+    })
+
+    it('isIntegerFraction', () => {
+        assert(!query.isIntegerFraction(parse('2.2 / 3')))
+        assert(query.isIntegerFraction(parse('2 / 3')))
+        assert(!query.isIntegerFraction(parse('x / 3')))
+    })
+
+    it('hasConstantBase', () => {
+        assert(query.hasConstantBase(parse('2^2')))
+        assert(query.hasConstantBase(parse('(2/3)^2')))
+        assert(query.hasConstantBase(parse('(-2)^2')))
+        assert(!query.hasConstantBase(parse('x^2')))
     })
 
     it('isDecimal', () => {
diff --git a/lib/query.js b/lib/query.js
index 0be5212..e88a491 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -3,7 +3,7 @@
  */
 
 const build = require('./build')
-const {print} = require('math-parser')
+const {parse, print} = require('math-parser')
 
 export const isIdentifier = node => node && node.type === 'Identifier'
 export const isApply = node => node && node.type === 'Apply'
@@ -75,15 +75,17 @@ export const isPolynomialTerm = (node) => {
     } else if (isNeg(node)) {
         return isPolynomialTerm(node.args[0])
     } else if (isMul(node)) {
-        return node.args.every(isPolynomialTerm)
+        return node.args.every(isPolynomialTerm) && node.implicit
+    } else {
+        return false
     }
 }
 
-export const isImplicit = (node) => {
+export const isImplicitMul = (node) => {
     if (isMul(node)) {
         return node.implicit
     } else if (isNeg(node)) {
-        return isImplicit(node.args[0])
+        return isImplicitMul(node.args[0])
     } else {
         return false
     }
@@ -129,6 +131,8 @@ export const getPolyDegree = (node) => {
     } else if (isPow(node)) {
         return node.args[1]
     } else if (isMul(node)){
+        // TODO: Math.max(...node.args.map(getPolyDegree))
+        // TODO: same base appearing more than once
         return getPolyDegree(node.args[1])
     } else if (isNeg(node)) {
         const variable = node.args[0]
@@ -138,20 +142,19 @@ export const getPolyDegree = (node) => {
     }
 }
 
+// TODO: 2^2
 export const getCoefficient = (node) => {
     if (isNumber(node)) {
         return node
     } else if (isIdentifier(node) || isPow(node)) {
         return build.numberNode('1')
     } else if (isNeg(node)) {
-        const result = build.applyNode('neg', [getCoefficient(node.args[0])])
-        result.wasMinus = node.wasMinus
-        return result
+        return build.neg(getCoefficient(node.args[0]), {wasMinus: node.wasMinus})
     } else if (isMul(node)) {
         const numbers = node.args.filter(arg => isNumber(arg) || isConstantFraction(arg))
         if (numbers.length > 1) {
             return build.mul(...numbers)
-        } else if (numbers.length > 0) {
+        } else if (numbers.length === 1) {
             return numbers[0]
         } else {
             return build.numberNode('1')
@@ -186,29 +189,47 @@ export const sortVariables = (variables) =>
     variables.sort(
         (a, b) => getVariableFactorName(a) > getVariableFactorName(b))
 
-export const hasConstantBase = node => isPow(node) && isNumber(node.args[0])
+export const hasConstantBase = node => isPow(node) &&
+    (isNumber(node.args[0]) || isConstantFraction(node.args[0]) || isIntegerFraction(node.args[0]))
+
+
+/*
+  Returns a dictionary containing a coefficient map, a list of constants
+  and other miscellaenous terms
+  The coefficient map is a dictionary with unique polynomial terms as keys
+  and a list of respective coefficients that appear in the expression as values.
 
+  e.g. 2x^2 + 5x^2 + 3x + 3
+  {constants: [3], coefficientMap: ['x^2': [2, 5], 'x': [3]]}
+*/
 export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants = [], others = []) => {
     if (isNumber(node) || isConstantFraction(node)) {
         constants.push(node)
+    } else if (isFunction(node)) {
+        // cos, sin, f(a), etc
+        others.push(node)
+    } else if(isPolynomialTerm(node) && !hasConstantBase(node)) {
+        // x^2, 3x^2
+
+        // sort the variables first (2yzx -> 2xyz)
+        const sortedVariables = sortVariables(getVariableFactors(node))
+
+        const coefficient = getCoefficient(node)
+        const implicit = isImplicitMul(node)
+        const key = sortedVariables.length > 1
+              ? print(build.applyNode('mul', sortedVariables, {implicit}))
+              : print(sortedVariables[0])
+
+        if (!(key in coefficientMap)) {
+            coefficientMap[key] = [coefficient]
+        } else {
+            coefficientMap[key].push(coefficient)
+        }
     } else if(isPolynomial(node) || isApply(node)) {
+        // 2x^2 + 3x + 1, 3x^2 * 2x^2
         node.args.forEach(function(arg) {
             getCoefficientsAndConstants(arg, coefficientMap, constants, others)
         })
-    } else if(isPolynomialTerm(node) && !hasConstantBase(node)) {
-      const sortedVariables = sortVariables(getVariableFactors(node))
-
-      const coefficient = getCoefficient(node)
-      const implicit = isImplicit(node)
-      const key = sortedVariables.length > 1
-            ? print(build.applyNode('mul', sortedVariables, {implicit}))
-            : print(sortedVariables[0])
-      
-      if (!(key in coefficientMap)) {
-        coefficientMap[key] = [coefficient]
-      } else {
-        coefficientMap[key].push(coefficient)
-      }
     } else {
         others.push(node)
     }
@@ -225,3 +246,5 @@ export const hasSameBase = (node1, node2) => {
         || isPow(node2) && print(node1) == print(node2.args[0])
         || isPow(node1) && isPow(node2) && print(node1.args[0]) == print(node2.args[0])
 }
+
+export const nodeEquals = (node1, node2) => print(node1) === print(node2)

From fc21cc982e3c9ebe6e21d4a128f2e679f683f840 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Sat, 1 Jul 2017 00:03:20 -0400
Subject: [PATCH 06/19] fix 2^2 case

---
 lib/__test__/query.test.js |  3 +++
 lib/query.js               | 11 +++++------
 2 files changed, 8 insertions(+), 6 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index c8fbb2b..032fa92 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -206,6 +206,7 @@ describe('query', () => {
     it('getPolyDegree', () => {
         assert.deepEqual(query.getPolyDegree(parse('2')), parse('0'))
         assert.deepEqual(query.getPolyDegree(parse('2x')), parse('1'))
+        assert.deepEqual(query.getPolyDegree(parse('2xyz')), parse('1'))
         assert.deepEqual(query.getPolyDegree(parse('2x^2')), parse('2'))
         assert.deepEqual(query.getPolyDegree(parse('x^2')), parse('2'))
         assert.deepEqual(query.getPolyDegree(parse('-2x^2')), parse('2'))
@@ -214,6 +215,8 @@ describe('query', () => {
 
     it('getCoefficient', () => {
         assert.deepEqual(query.getCoefficient(parse('2')), parse('2'))
+        assert.deepEqual(query.getCoefficient(parse('2^2')), parse('2^2'))
+        assert.deepEqual(query.getCoefficient(parse('2^(2/3)')), parse('2^(2/3)'))
         assert.deepEqual(query.getCoefficient(parse('2x')), parse('2'))
         assert.deepEqual(query.getCoefficient(parse('2x^2')), parse('2'))
         assert.deepEqual(query.getCoefficient(parse('x^2')), parse('1'))
diff --git a/lib/query.js b/lib/query.js
index e88a491..9f9be2b 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -3,7 +3,7 @@
  */
 
 const build = require('./build')
-const {parse, print} = require('math-parser')
+const {print} = require('math-parser')
 
 export const isIdentifier = node => node && node.type === 'Identifier'
 export const isApply = node => node && node.type === 'Apply'
@@ -120,6 +120,9 @@ export const getDenominator = (node) => {
     }
 }
 
+export const hasConstantBase = node => isPow(node) &&
+    (isNumber(node.args[0]) || isConstantFraction(node.args[0]) || isIntegerFraction(node.args[0]))
+
 // TODO: handle multivariable polynomials
 // Get degree of a polynomial term
 // e.g. 6x^2 -> 2
@@ -144,7 +147,7 @@ export const getPolyDegree = (node) => {
 
 // TODO: 2^2
 export const getCoefficient = (node) => {
-    if (isNumber(node)) {
+    if (isNumber(node) || hasConstantBase(node)) {
         return node
     } else if (isIdentifier(node) || isPow(node)) {
         return build.numberNode('1')
@@ -189,10 +192,6 @@ export const sortVariables = (variables) =>
     variables.sort(
         (a, b) => getVariableFactorName(a) > getVariableFactorName(b))
 
-export const hasConstantBase = node => isPow(node) &&
-    (isNumber(node.args[0]) || isConstantFraction(node.args[0]) || isIntegerFraction(node.args[0]))
-
-
 /*
   Returns a dictionary containing a coefficient map, a list of constants
   and other miscellaenous terms

From 7a26badf2d47521486a8e0defeffc307c2ac1352 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Sat, 1 Jul 2017 22:52:12 -0400
Subject: [PATCH 07/19] nodeEquals in hasSameBase

---
 lib/query.js | 10 +++++-----
 1 file changed, 5 insertions(+), 5 deletions(-)

diff --git a/lib/query.js b/lib/query.js
index 9f9be2b..fa1120b 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -207,7 +207,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
     } else if (isFunction(node)) {
         // cos, sin, f(a), etc
         others.push(node)
-    } else if(isPolynomialTerm(node) && !hasConstantBase(node)) {
+    } else if (isPolynomialTerm(node) && !hasConstantBase(node)) {
         // x^2, 3x^2
 
         // sort the variables first (2yzx -> 2xyz)
@@ -240,10 +240,10 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
 // e.g. (x + 1)^1 and (x + 1)^3 , true
 // e.g. x^2, (x + 1)^2, false
 export const hasSameBase = (node1, node2) => {
-    return print(node1) == print(node2)
-        || isPow(node1) && print(node1.args[0]) == print(node2)
-        || isPow(node2) && print(node1) == print(node2.args[0])
-        || isPow(node1) && isPow(node2) && print(node1.args[0]) == print(node2.args[0])
+    return nodeEquals(node1, node2) 
+        || isPow(node1) && nodeEquals(node1.args[0], node2)
+        || isPow(node2) && nodeEquals(node1, node2.args[0])
+        || isPow(node1) && isPow(node2) && nodeEquals(node1.args[0], node2.args[0])
 }
 
 export const nodeEquals = (node1, node2) => print(node1) === print(node2)

From cbc3bb922fe2ae7f2b52a041bddd2153522e21c2 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Sat, 1 Jul 2017 22:57:04 -0400
Subject: [PATCH 08/19] revert package

---
 package.json | 82 ++++++++++++++++++++++++----------------------------
 1 file changed, 38 insertions(+), 44 deletions(-)

diff --git a/package.json b/package.json
index bd3adbd..07e079e 100644
--- a/package.json
+++ b/package.json
@@ -1,47 +1,41 @@
 {
-    "name": "math-nodes",
-    "version": "0.1.10",
-    "description": "Creation and identification utility functions for nodes in math-ast ASTs",
-    "main": "dist/math-nodes.js",
-    "scripts": {
-        "lint": "eslint lib",
-        "prepublish": "webpack",
-        "test": "jest"
-    },
-    "pre-commit": "lint",
-    "jest": {
-        "setupTestFrameworkScriptFile": "<rootDir>/node_modules/babel-polyfill/dist/polyfill.js",
-        "transform": {
-            "^.+\\.jsx?$": "babel-jest"
-        }
-    },
-    "repository": {
-        "type": "git",
-        "url": "git+https://github.com/semantic-math/math-nodes.git"
-    },
-    "author": "Kevin Barabash <kevinb7@gmail.com>",
-    "license": "MIT",
-    "bugs": {
-        "url": "https://github.com/semantic-math/math-nodes/issues"
-    },
-    "homepage": "https://github.com/semantic-math/math-nodes#readme",
-    "devDependencies": {
-        "babel-core": "^6.22.1",
-        "babel-eslint": "^7.1.1",
-        "babel-loader": "^6.2.10",
-        "babel-plugin-transform-flow-strip-types": "^6.22.0",
-        "babel-plugin-transform-object-rest-spread": "^6.22.0",
-        "babel-polyfill": "^6.23.0",
-        "babel-preset-es2015": "^6.22.0",
-        "eslint": "^3.15.0",
-        "eslint-plugin-flowtype": "^2.30.0",
-        "flow-bin": "^0.38.0",
-        "jest": "^20.0.3",
-        "json-stable-stringify": "^1.0.1",
-        "pre-commit": "^1.2.2",
-        "webpack": "^2.2.1"
-    },
-    "dependencies": {
-        "math-parser": "^0.10.5"
+  "name": "math-nodes",
+  "version": "0.1.10",
+  "description": "Creation and identification utility functions for nodes in math-ast ASTs",
+  "main": "dist/math-nodes.js",
+  "scripts": {
+    "lint": "eslint lib",
+    "prepublish": "webpack",
+    "test": "jest"
+  },
+  "pre-commit": "lint",
+  "jest": {
+    "setupTestFrameworkScriptFile": "<rootDir>/node_modules/babel-polyfill/dist/polyfill.js",
+    "transform": {
+      "^.+\\.jsx?$": "babel-jest"
     }
+  },
+  "repository": {
+    "type": "git",
+    "url": "git+https://github.com/semantic-math/math-nodes.git"
+  },
+  "author": "Kevin Barabash <kevinb7@gmail.com>",
+  "license": "MIT",
+  "bugs": {
+    "url": "https://github.com/semantic-math/math-nodes/issues"
+  },
+  "homepage": "https://github.com/semantic-math/math-nodes#readme",
+  "devDependencies": {
+    "babel-core": "^6.24.1",
+    "babel-eslint": "^7.2.3",
+    "babel-loader": "^7.0.0",
+    "babel-plugin-transform-object-rest-spread": "^6.22.0",
+    "babel-polyfill": "^6.23.0",
+    "babel-preset-es2015": "^6.24.1",
+    "eslint": "^4.0.0",
+    "jest": "^20.0.4",
+    "math-parser": "^0.10.5",
+    "pre-commit": "^1.2.2",
+    "webpack": "^2.4.1"
+  }
 }

From b14fdebf802899c06c4465999d061842aa403b17 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Mon, 3 Jul 2017 21:24:19 -0400
Subject: [PATCH 09/19] fixed some helper functions

---
 lib/__test__/__snapshots__/query.test.js.snap | 40 ++++++++++++--
 lib/__test__/query.test.js                    | 55 +++++++++++++++++--
 lib/query.js                                  | 30 +++++++---
 3 files changed, 107 insertions(+), 18 deletions(-)

diff --git a/lib/__test__/__snapshots__/query.test.js.snap b/lib/__test__/__snapshots__/query.test.js.snap
index a819718..04f72ba 100644
--- a/lib/__test__/__snapshots__/query.test.js.snap
+++ b/lib/__test__/__snapshots__/query.test.js.snap
@@ -74,6 +74,33 @@ exports[`query getCoefficientsAndConstants 2/3 + 3 + cos(4) 1`] = `
 }
 `;
 
+exports[`query getCoefficientsAndConstants 2/3(x + 1)^1 1`] = `
+{
+    "others": [
+    ],
+    "constants": [
+    ],
+    "coefficientMap": {
+        "(x + 1)^1": [
+            {
+                "type": "Apply",
+                "op": "div",
+                "args": [
+                    {
+                        "value": "2",
+                        "type": "Number"
+                    },
+                    {
+                        "value": "3",
+                        "type": "Number"
+                    }
+                ]
+            }
+        ]
+    }
+}
+`;
+
 exports[`query getCoefficientsAndConstants 2x 1`] = `
 {
     "others": [
@@ -183,7 +210,12 @@ exports[`query getCoefficientsAndConstants x^3 + y^3 + x y z + 3 1`] = `
 }
 `;
 
-exports[`query getVariableFactorName 2 x y z 1`] = `
+exports[`query getVariableFactors (x)(y)(z) 1`] = `
+[
+]
+`;
+
+exports[`query getVariableFactors 2 x y z 1`] = `
 [
     {
         "type": "Identifier",
@@ -200,7 +232,7 @@ exports[`query getVariableFactorName 2 x y z 1`] = `
 ]
 `;
 
-exports[`query getVariableFactorName 2x 1`] = `
+exports[`query getVariableFactors 2x 1`] = `
 [
     {
         "type": "Identifier",
@@ -209,7 +241,7 @@ exports[`query getVariableFactorName 2x 1`] = `
 ]
 `;
 
-exports[`query getVariableFactorName 2x^2 1`] = `
+exports[`query getVariableFactors 2x^2 1`] = `
 [
     {
         "type": "Apply",
@@ -228,7 +260,7 @@ exports[`query getVariableFactorName 2x^2 1`] = `
 ]
 `;
 
-exports[`query getVariableFactorName x^2 1`] = `
+exports[`query getVariableFactors x^2 1`] = `
 [
     {
         "type": "Apply",
diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 032fa92..aa77b47 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -48,24 +48,69 @@ describe('query', () => {
         y = {type: 'Identifier', name: 'y'}
     })
 
-    suite('getVariableFactorName', query.getVariableFactors, [
+    suite('getVariableFactors', query.getVariableFactors, [
         '2x',
         'x^2',
         '2x^2',
-        '2 x y z'
+        '2 x y z',
+        '(x)(y)(z)'
     ])
 
     suite('getCoefficientsAndConstants', query.getCoefficientsAndConstants, [
         '2',
         '2x',
-        '2x^2',
+        '2x^2', 
         '2 x y z',
         '2x^3 + 3',
         'x^3 + y^3 + x y z + 3',
         '2/3 + 3 + cos(4)',
-        '3x^2 * 2x^2'
+        '3x^2 * 2x^2',
+        '2/3(x + 1)^1'
     ])
-    
+
+    it('isVariableFactor', () => {
+        assert(query.isVariableFactor(parse('x')))
+        assert(query.isVariableFactor(parse('xyz')))
+        assert(query.isVariableFactor(parse('x^2')))
+        assert(query.isVariableFactor(parse('(x+1)^2')))
+        assert(!query.isVariableFactor(parse('2x^2')))
+        assert(!query.isVariableFactor(parse('x y z')))
+        assert(!query.isVariableFactor(parse('x + y')))
+    })
+
+    it('isPolynomialTerm', () => {
+        assert(query.isPolynomialTerm(parse('x')))
+        assert(query.isPolynomialTerm(parse('2x')))
+        assert(query.isPolynomialTerm(parse('2x^2')))
+        assert(query.isPolynomialTerm(parse('(x+2)^2')))
+        assert(query.isPolynomialTerm(parse('(x+2)^(x+2)')))
+        assert(query.isPolynomialTerm(parse('-2')))
+        assert(!query.isPolynomialTerm(parse('x^-2')))
+    })
+
+    it('isPolynomial', () => {
+        // test cases from: https://www.mathsisfun.com/algebra/polynomials.html
+        assert(query.isPolynomial(parse('1/5')))
+        assert(query.isPolynomial(parse('5')))
+        assert(query.isPolynomial(parse('3x')))
+        assert(query.isPolynomial(parse('x/2')))
+        assert(query.isPolynomial(parse('(3x)/8')))
+        assert(query.isPolynomial(parse('x - 2')))
+        assert(query.isPolynomial(parse('-6y^2 - (7/9)x')))
+        assert(query.isPolynomial(parse('3xyz + 3xy2z - 0.1xz - 200y + 0.5')))
+        assert(query.isPolynomial(parse('512v^5 + 99w^5')))
+        assert(!query.isPolynomial(parse('3xy^-2')))
+        assert(!query.isPolynomial(parse('2/(x+2)')))
+        assert(!query.isPolynomial(parse('1/x')))
+    })
+
+    it('hasSameBase', () => {
+        assert(query.hasSameBase(parse('x^1'), parse('x^2')))
+        assert(query.hasSameBase(parse('(x+1)^2'), parse('(x+1)^x')))
+        assert(query.hasSameBase(parse('(xyz)^2'), parse('(xyz)^5')))
+        assert(!query.hasSameBase(parse('(x+1)^2'), parse('(x+2)^2')))
+    })
+
     it('isIdentifier', () => {
         assert(query.isIdentifier(x))
         assert(!query.isIdentifier(a))
diff --git a/lib/query.js b/lib/query.js
index fa1120b..5a60b22 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -3,7 +3,7 @@
  */
 
 const build = require('./build')
-const {print} = require('math-parser')
+const {parse,print} = require('math-parser')
 
 export const isIdentifier = node => node && node.type === 'Identifier'
 export const isApply = node => node && node.type === 'Apply'
@@ -56,12 +56,22 @@ export const isInteger = node => {
 }
 
 export const isPolynomial = (node) => {
-    return isAdd(node) && node.args.every(isPolynomialTerm)
+    if (isPolynomialTerm(node)) {
+        return true
+    } else if (isApply(node)){
+        if (isDiv(node)) {
+            return isNumber(getDenominator(node))
+        } else {
+            return node.args.every(isPolynomialTerm)
+        }
+    } else {
+        return false
+    }
 }
 
 export const isVariableFactor = (node) =>
     isIdentifier(node) ||
-    isPow(node) && isIdentifier(node.args[0])
+    isPow(node) && (isPolynomial(node.args[0]) || isPolynomialTerm(node))
     && (isNumber(node.args[1]) || isVariableFactor(node.args[1]))
 
 export const isPolynomialTerm = (node) => {
@@ -71,7 +81,10 @@ export const isPolynomialTerm = (node) => {
         return true
     } else if (isPow(node)) {
         const [base, exponent] = node.args
-        return (isIdentifier(base) || isPolynomial(base)) && isPolynomialTerm(exponent)
+        const positiveExp = isNumber(exponent)
+              ? getValue(exponent) >= 1
+              : true
+        return isPolynomial(base) && isPolynomial(exponent) && positiveExp
     } else if (isNeg(node)) {
         return isPolynomialTerm(node.args[0])
     } else if (isMul(node)) {
@@ -129,7 +142,7 @@ export const hasConstantBase = node => isPow(node) &&
 export const getPolyDegree = (node) => {
     if (isNumber(node)) {
         return build.number(0)
-    } else if (isIdentifier(node) || isPolynomial(node)){
+    } else if (isIdentifier(node)){
         return build.number(1)
     } else if (isPow(node)) {
         return node.args[1]
@@ -209,15 +222,14 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
         others.push(node)
     } else if (isPolynomialTerm(node) && !hasConstantBase(node)) {
         // x^2, 3x^2
-
         // sort the variables first (2yzx -> 2xyz)
         const sortedVariables = sortVariables(getVariableFactors(node))
 
         const coefficient = getCoefficient(node)
         const implicit = isImplicitMul(node)
         const key = sortedVariables.length > 1
-              ? print(build.applyNode('mul', sortedVariables, {implicit}))
-              : print(sortedVariables[0])
+            ? print(build.applyNode('mul', sortedVariables, {implicit}))
+        : print(sortedVariables[0])
 
         if (!(key in coefficientMap)) {
             coefficientMap[key] = [coefficient]
@@ -240,7 +252,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
 // e.g. (x + 1)^1 and (x + 1)^3 , true
 // e.g. x^2, (x + 1)^2, false
 export const hasSameBase = (node1, node2) => {
-    return nodeEquals(node1, node2) 
+    return nodeEquals(node1, node2)
         || isPow(node1) && nodeEquals(node1.args[0], node2)
         || isPow(node2) && nodeEquals(node1, node2.args[0])
         || isPow(node1) && isPow(node2) && nodeEquals(node1.args[0], node2.args[0])

From 2ecf06cc85cc21b44b50802569abe7c6e5285f4d Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Mon, 3 Jul 2017 21:25:53 -0400
Subject: [PATCH 10/19] fixes

---
 lib/query.js | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/lib/query.js b/lib/query.js
index 5a60b22..d17da13 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -3,7 +3,7 @@
  */
 
 const build = require('./build')
-const {parse,print} = require('math-parser')
+const {print} = require('math-parser')
 
 export const isIdentifier = node => node && node.type === 'Identifier'
 export const isApply = node => node && node.type === 'Apply'
@@ -82,8 +82,8 @@ export const isPolynomialTerm = (node) => {
     } else if (isPow(node)) {
         const [base, exponent] = node.args
         const positiveExp = isNumber(exponent)
-              ? getValue(exponent) >= 1
-              : true
+            ? getValue(exponent) >= 1
+            : true
         return isPolynomial(base) && isPolynomial(exponent) && positiveExp
     } else if (isNeg(node)) {
         return isPolynomialTerm(node.args[0])
@@ -229,7 +229,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
         const implicit = isImplicitMul(node)
         const key = sortedVariables.length > 1
             ? print(build.applyNode('mul', sortedVariables, {implicit}))
-        : print(sortedVariables[0])
+            : print(sortedVariables[0])
 
         if (!(key in coefficientMap)) {
             coefficientMap[key] = [coefficient]

From e94f341e0410600d13eba4d8b4ba99585bc60d23 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Mon, 3 Jul 2017 22:27:43 -0400
Subject: [PATCH 11/19] made some changes

---
 lib/__test__/query.test.js | 2 ++
 lib/query.js               | 7 +++----
 2 files changed, 5 insertions(+), 4 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index f9c53c3..1dbcbd6 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -84,6 +84,7 @@ describe('query', () => {
         assert(query.isPolynomialTerm(parse('(x+2)^2')))
         assert(query.isPolynomialTerm(parse('(x+2)^(x+2)')))
         assert(query.isPolynomialTerm(parse('-2')))
+        assert(query.isPolynomialTerm(parse('2.2')))
         assert(!query.isPolynomialTerm(parse('x^-2')))
     })
 
@@ -98,6 +99,7 @@ describe('query', () => {
         assert(query.isPolynomial(parse('-6y^2 - (7/9)x')))
         assert(query.isPolynomial(parse('3xyz + 3xy2z - 0.1xz - 200y + 0.5')))
         assert(query.isPolynomial(parse('512v^5 + 99w^5')))
+        assert(query.isPolynomial(parse('(2x^2 + 3y^2)/3')))
         assert(!query.isPolynomial(parse('3xy^-2')))
         assert(!query.isPolynomial(parse('2/(x+2)')))
         assert(!query.isPolynomial(parse('1/x')))
diff --git a/lib/query.js b/lib/query.js
index d28f5d4..d0608fb 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -58,7 +58,7 @@ export const isInteger = node => {
 export const isPolynomial = (node) => {
     if (isPolynomialTerm(node)) {
         return true
-    } else if (isApply(node)){
+    } else if (isApply(node)) {
         if (isDiv(node)) {
             return isNumber(getDenominator(node))
         } else {
@@ -67,7 +67,6 @@ export const isPolynomial = (node) => {
     } else {
         return false
     }
-    return isAdd(node) && node.args.every(isPolynomialTerm)
 }
 
 export const isVariableFactor = (node) =>
@@ -83,7 +82,7 @@ export const isPolynomialTerm = (node) => {
     } else if (isPow(node)) {
         const [base, exponent] = node.args
         const positiveExp = isNumber(exponent)
-              ? getValue(exponent) >= 1
+            ? getValue(exponent) >= 1
             : true
         return isPolynomial(base) && isPolynomial(exponent) && positiveExp
     } else if (isNeg(node)) {
@@ -143,7 +142,7 @@ export const hasConstantBase = node => isPow(node) &&
 export const getPolyDegree = (node) => {
     if (isNumber(node)) {
         return build.number(0)
-    } else if (isIdentifier(node)){
+    } else if (isIdentifier(node)) {
         return build.number(1)
     } else if (isPow(node)) {
         return node.args[1]

From 0c40e27df12a0ff5fc98e130ffe5dd130a01ceb3 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Mon, 3 Jul 2017 23:42:48 -0400
Subject: [PATCH 12/19] more fixes

---
 lib/query.js | 16 ++++++----------
 1 file changed, 6 insertions(+), 10 deletions(-)

diff --git a/lib/query.js b/lib/query.js
index d0608fb..3460dad 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -52,18 +52,16 @@ export const isNumber = node => {
 }
 
 export const isInteger = node => {
-    return isNumber(node) && Number.isInteger(Number(node.value))
+    return isNumber(node) && Number.isInteger(getValue(node))
 }
 
 export const isPolynomial = (node) => {
     if (isPolynomialTerm(node)) {
         return true
-    } else if (isApply(node)) {
-        if (isDiv(node)) {
-            return isNumber(getDenominator(node))
-        } else {
-            return node.args.every(isPolynomialTerm)
-        }
+    } else if (isDiv(node)) {
+        return isNumber(getDenominator(node)) && isPolynomial(getNumerator(node))
+    } else if (isAdd(node) || isMul(node)) {
+        return node.args.every(isPolynomialTerm)
     } else {
         return false
     }
@@ -81,9 +79,7 @@ export const isPolynomialTerm = (node) => {
         return true
     } else if (isPow(node)) {
         const [base, exponent] = node.args
-        const positiveExp = isNumber(exponent)
-            ? getValue(exponent) >= 1
-            : true
+        const positiveExp = isInteger(exponent) ? getValue(exponent) >= 1 : true
         return isPolynomial(base) && isPolynomial(exponent) && positiveExp
     } else if (isNeg(node)) {
         return isPolynomialTerm(node.args[0])

From b21ee85948ba4e892395f015b2f199d2b92a588e Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Tue, 4 Jul 2017 14:17:00 -0400
Subject: [PATCH 13/19] fix getVariableFactors

---
 lib/__test__/__snapshots__/query.test.js.snap | 70 +++++++++++++++++++
 lib/__test__/query.test.js                    |  4 +-
 lib/query.js                                  | 11 ++-
 3 files changed, 78 insertions(+), 7 deletions(-)

diff --git a/lib/__test__/__snapshots__/query.test.js.snap b/lib/__test__/__snapshots__/query.test.js.snap
index 39b406b..712f6c7 100644
--- a/lib/__test__/__snapshots__/query.test.js.snap
+++ b/lib/__test__/__snapshots__/query.test.js.snap
@@ -236,6 +236,76 @@ exports[`query getVariableFactors 2x 1`] = `
 ]
 `;
 
+exports[`query getVariableFactors 2x^2 * y 1`] = `
+[
+    {
+        "type": "Apply",
+        "op": "pow",
+        "args": [
+            {
+                "type": "Identifier",
+                "name": "x"
+            },
+            {
+                "value": "2",
+                "type": "Number"
+            }
+        ]
+    },
+    {
+        "type": "Identifier",
+        "name": "y"
+    }
+]
+`;
+
+exports[`query getVariableFactors 2x^2 * z^2 + y^3 1`] = `
+[
+    {
+        "type": "Apply",
+        "op": "pow",
+        "args": [
+            {
+                "type": "Identifier",
+                "name": "x"
+            },
+            {
+                "value": "2",
+                "type": "Number"
+            }
+        ]
+    },
+    {
+        "type": "Apply",
+        "op": "pow",
+        "args": [
+            {
+                "type": "Identifier",
+                "name": "z"
+            },
+            {
+                "value": "2",
+                "type": "Number"
+            }
+        ]
+    },
+    {
+        "type": "Apply",
+        "op": "pow",
+        "args": [
+            {
+                "type": "Identifier",
+                "name": "y"
+            },
+            {
+                "value": "3",
+                "type": "Number"
+            }
+        ]
+    }
+]
+`;
+
 exports[`query getVariableFactors 2x^2 1`] = `
 [
     {
diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 1dbcbd6..e8607e7 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -53,12 +53,14 @@ describe('query', () => {
         'x^2',
         '2x^2',
         '2 x y z',
+        '2x^2 * y',
+        '2x^2 * z^2 + y^3'
     ])
 
     suite('getCoefficientsAndConstants', query.getCoefficientsAndConstants, [
         '2',
         '2x',
-        '2x^2', 
+        '2x^2',
         '2 x y z',
         '2x^3 + 3',
         'x^3 + y^3 + x y z + 3',
diff --git a/lib/query.js b/lib/query.js
index 3460dad..90539a4 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -174,17 +174,16 @@ export const getCoefficient = (node) => {
     }
 }
 
-export const getVariableFactors = (node) => {
+export const getVariableFactors = (node, factors = []) => {
     if (isVariableFactor(node)) {
-        return [node]
-    } else if (isMul(node)) {
-        return node.args.filter(isVariableFactor)
+        factors.push(node)
+    } else if (isApply(node)) {
+        node.args.forEach(arg => getVariableFactors(arg, factors))
     } else if (isNeg(node)) {
         // TODO: figure out how to handle (x)(-y)(z)
         return getVariableFactors(node.args[0])
-    } else {
-        return []
     }
+    return factors
 }
 
 export const getVariableFactorName = (node) => {

From c669902dfa5ae794c9549021bdf3203826244e1c Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Tue, 4 Jul 2017 23:29:25 -0400
Subject: [PATCH 14/19] fixed

---
 lib/__test__/__snapshots__/query.test.js.snap | 30 +++++--------------
 lib/__test__/query.test.js                    |  2 +-
 lib/query.js                                  |  2 +-
 3 files changed, 10 insertions(+), 24 deletions(-)

diff --git a/lib/__test__/__snapshots__/query.test.js.snap b/lib/__test__/__snapshots__/query.test.js.snap
index 712f6c7..ac83cee 100644
--- a/lib/__test__/__snapshots__/query.test.js.snap
+++ b/lib/__test__/__snapshots__/query.test.js.snap
@@ -259,7 +259,7 @@ exports[`query getVariableFactors 2x^2 * y 1`] = `
 ]
 `;
 
-exports[`query getVariableFactors 2x^2 * z^2 + y^3 1`] = `
+exports[`query getVariableFactors 2x^2 1`] = `
 [
     {
         "type": "Apply",
@@ -274,14 +274,19 @@ exports[`query getVariableFactors 2x^2 * z^2 + y^3 1`] = `
                 "type": "Number"
             }
         ]
-    },
+    }
+]
+`;
+
+exports[`query getVariableFactors x^2 * 2/3 y^2 1`] = `
+[
     {
         "type": "Apply",
         "op": "pow",
         "args": [
             {
                 "type": "Identifier",
-                "name": "z"
+                "name": "x"
             },
             {
                 "value": "2",
@@ -297,25 +302,6 @@ exports[`query getVariableFactors 2x^2 * z^2 + y^3 1`] = `
                 "type": "Identifier",
                 "name": "y"
             },
-            {
-                "value": "3",
-                "type": "Number"
-            }
-        ]
-    }
-]
-`;
-
-exports[`query getVariableFactors 2x^2 1`] = `
-[
-    {
-        "type": "Apply",
-        "op": "pow",
-        "args": [
-            {
-                "type": "Identifier",
-                "name": "x"
-            },
             {
                 "value": "2",
                 "type": "Number"
diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 50670c9..99e9e7a 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -54,7 +54,7 @@ describe('query', () => {
         '2x^2',
         '2 x y z',
         '2x^2 * y',
-        '2x^2 * z^2 + y^3'
+        'x^2 * 2/3 y^2'
     ])
 
     suite('getCoefficientsAndConstants', query.getCoefficientsAndConstants, [
diff --git a/lib/query.js b/lib/query.js
index 90539a4..ae1e8e3 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -177,7 +177,7 @@ export const getCoefficient = (node) => {
 export const getVariableFactors = (node, factors = []) => {
     if (isVariableFactor(node)) {
         factors.push(node)
-    } else if (isApply(node)) {
+    } else if (isMul(node)) {
         node.args.forEach(arg => getVariableFactors(arg, factors))
     } else if (isNeg(node)) {
         // TODO: figure out how to handle (x)(-y)(z)

From 2b31dfd0fc6f229b640df456fd1acb3ea961d5ba Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Wed, 5 Jul 2017 17:51:48 -0400
Subject: [PATCH 15/19] added some more changes to getCoefficientAndConstants

---
 lib/__test__/__snapshots__/query.test.js.snap | 88 +++++++++++++++++++
 lib/__test__/query.test.js                    |  7 +-
 lib/query.js                                  |  6 +-
 3 files changed, 96 insertions(+), 5 deletions(-)

diff --git a/lib/__test__/__snapshots__/query.test.js.snap b/lib/__test__/__snapshots__/query.test.js.snap
index ac83cee..dac50cc 100644
--- a/lib/__test__/__snapshots__/query.test.js.snap
+++ b/lib/__test__/__snapshots__/query.test.js.snap
@@ -177,6 +177,45 @@ exports[`query getCoefficientsAndConstants 3x^2 * 2x^2 1`] = `
 }
 `;
 
+exports[`query getCoefficientsAndConstants x + 4 + 2^x + x 1`] = `
+{
+    "others": [
+        {
+            "type": "Apply",
+            "op": "pow",
+            "args": [
+                {
+                    "value": "2",
+                    "type": "Number"
+                },
+                {
+                    "type": "Identifier",
+                    "name": "x"
+                }
+            ]
+        }
+    ],
+    "constants": [
+        {
+            "value": "4",
+            "type": "Number"
+        }
+    ],
+    "coefficientMap": {
+        "x": [
+            {
+                "value": "1",
+                "type": "Number"
+            },
+            {
+                "value": "1",
+                "type": "Number"
+            }
+        ]
+    }
+}
+`;
+
 exports[`query getCoefficientsAndConstants x^3 + y^3 + x y z + 3 1`] = `
 {
     "others": [
@@ -210,6 +249,55 @@ exports[`query getCoefficientsAndConstants x^3 + y^3 + x y z + 3 1`] = `
 }
 `;
 
+exports[`query getCoefficientsAndConstants z + 2*(y + x) + 4 + z 1`] = `
+{
+    "others": [
+        {
+            "type": "Apply",
+            "op": "mul",
+            "args": [
+                {
+                    "value": "2",
+                    "type": "Number"
+                },
+                {
+                    "type": "Apply",
+                    "op": "add",
+                    "args": [
+                        {
+                            "type": "Identifier",
+                            "name": "y"
+                        },
+                        {
+                            "type": "Identifier",
+                            "name": "x"
+                        }
+                    ]
+                }
+            ]
+        }
+    ],
+    "constants": [
+        {
+            "value": "4",
+            "type": "Number"
+        }
+    ],
+    "coefficientMap": {
+        "z": [
+            {
+                "value": "1",
+                "type": "Number"
+            },
+            {
+                "value": "1",
+                "type": "Number"
+            }
+        ]
+    }
+}
+`;
+
 exports[`query getVariableFactors 2 x y z 1`] = `
 [
     {
diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 99e9e7a..0946b09 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -66,10 +66,13 @@ describe('query', () => {
         'x^3 + y^3 + x y z + 3',
         '2/3 + 3 + cos(4)',
         '3x^2 * 2x^2',
-        '2/3(x + 1)^1'
+        '2/3(x + 1)^1',
+        'x + 4 + 2^x + x',
+        'z + 2*(y + x) + 4 + z'
     ])
 
-    it('isVariableFactor', () => {
+  it('isVariableFactor', () => {
+    console.log(query.isPolynomial(parse('2*(y+x)')))
         assert(query.isVariableFactor(parse('x')))
         assert(query.isVariableFactor(parse('xyz')))
         assert(query.isVariableFactor(parse('x^2')))
diff --git a/lib/query.js b/lib/query.js
index ae1e8e3..ee74f2b 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -212,10 +212,10 @@ export const sortVariables = (variables) =>
 export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants = [], others = []) => {
     if (isNumber(node) || isConstantFraction(node)) {
         constants.push(node)
-    } else if (isFunction(node)) {
+    } else if (isFunction(node) || hasConstantBase(node)) {
         // cos, sin, f(a), etc
         others.push(node)
-    } else if (isPolynomialTerm(node) && !hasConstantBase(node)) {
+    } else if (isPolynomialTerm(node)) {
         // x^2, 3x^2
 
         // sort the variables first (2yzx -> 2xyz)
@@ -232,7 +232,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
         } else {
             coefficientMap[key].push(coefficient)
         }
-    } else if(isPolynomial(node) || isApply(node)) {
+    } else if(isPolynomial(node) || isAdd(node) || (isMul(node) && node.args.every(isPolynomialTerm))) {
         // 2x^2 + 3x + 1, 3x^2 * 2x^2
         node.args.forEach(function(arg) {
             getCoefficientsAndConstants(arg, coefficientMap, constants, others)

From 62f8a0d941b555cedfad3f6340412fce1ab902af Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Wed, 5 Jul 2017 23:09:25 -0400
Subject: [PATCH 16/19] revert lines

---
 lib/__test__/query.test.js | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 0946b09..8945156 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -71,8 +71,7 @@ describe('query', () => {
         'z + 2*(y + x) + 4 + z'
     ])
 
-  it('isVariableFactor', () => {
-    console.log(query.isPolynomial(parse('2*(y+x)')))
+    it('isVariableFactor', () => {
         assert(query.isVariableFactor(parse('x')))
         assert(query.isVariableFactor(parse('xyz')))
         assert(query.isVariableFactor(parse('x^2')))

From acde4be7e537320346b0beaede0a90cbd185d924 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Thu, 6 Jul 2017 00:06:39 -0400
Subject: [PATCH 17/19] added hasCoeff and negate

---
 lib/__test__/query.test.js | 31 +++++++++++++++++----
 lib/query.js               | 56 +++++++++++++++++++++++++++-----------
 2 files changed, 66 insertions(+), 21 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 8945156..bd30f1b 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -1,5 +1,5 @@
 import assert from 'assert'
-import {parse} from 'math-parser'
+import {parse, print} from 'math-parser'
 import stringify from 'json-stable-stringify'
 
 const reverseAlphabetical = (a, b) => a.key < b.key ? 1 : -1
@@ -109,6 +109,27 @@ describe('query', () => {
         assert(!query.isPolynomial(parse('1/x')))
     })
 
+    it('hasCoeff', () => {
+        assert(query.hasCoeff(parse('2x')))
+        assert(query.hasCoeff(parse('2x^2')))
+        assert(query.hasCoeff(parse('2 x y z')))
+        assert(!query.hasCoeff(parse('2')))
+        assert(!query.hasCoeff(parse('x')))
+    })
+
+    it('negate', () => {
+        assert.equal(print(query.negate(parse('2'))), -2)
+        assert.equal(print(query.negate(parse('2x^2'))), `-2 x^2`)
+        assert.equal(print(query.negate(parse('2xyz'))), `-2 xyz`)
+        assert.equal(print(query.negate(parse('-2'))), 2)
+        assert.equal(print(query.negate(parse('-2x^2'))), `2 x^2`)
+        assert.equal(print(query.negate(parse('-2x^2 y^2'))), `2 x^2 y^2`)
+        assert.equal(print(query.negate(parse('2x^2 y^2'))), `-2 x^2 y^2`)
+        assert.equal(print(query.negate(parse('2/3'))), `-2 / 3`)
+        assert.equal(print(query.negate(parse('-2/3'))), `2 / 3`)
+        assert.equal(print(query.negate(parse('(x+3)/3'))), `-(x + 3) / 3`)
+    })
+
     it('hasSameBase', () => {
         assert(query.hasSameBase(parse('x^1'), parse('x^2')))
         assert(query.hasSameBase(parse('(x+1)^2'), parse('(x+1)^x')))
@@ -225,10 +246,10 @@ describe('query', () => {
         assert(!query.isRel(x))
     })
 
-    it('isNumber', () => {
-        assert(query.isNumber(a))
-        assert(query.isNumber(parse('-2')))
-        assert(!query.isNumber(x))
+    it('isRationalNumber', () => {
+        assert(query.isRationalNumber(a))
+        assert(query.isRationalNumber(parse('-2')))
+        assert(!query.isRationalNumber(x))
     })
 
     it('getValue', () => {
diff --git a/lib/query.js b/lib/query.js
index ee74f2b..f3e884e 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -10,7 +10,7 @@ export const isApply = node => node && node.type === 'Apply'
 export const isParens = node => node && node.type === 'Parentheses'
 
 // deprecated, use isApply
-export const isOperation = node => isApply(node) && !isNumber(node)
+export const isOperation = node => isApply(node) && !isRationalNumber(node)
 export const isFunction = node => isApply(node) && isIdentifier(node.op)
 
 // TODO: curry it?
@@ -26,9 +26,9 @@ export const isAbs = node => _isOp('abs', node)
 export const isFact = node => _isOp('fact', node)
 export const isNthRoot = node => _isOp('nthRoot', node)
 export const isFraction = node => isNeg(node) ? isFraction(node.args[0]) : isDiv(node)
-export const isConstantFraction = node => isFraction(node) && node.args.every(isNumber)
+export const isConstantFraction = node => isFraction(node) && node.args.every(isRationalNumber)
 export const isIntegerFraction = node => isFraction(node) && node.args.every(isInteger)
-export const isDecimal = node => isNumber(node) && getValue(node) % 1 != 0
+export const isDecimal = node => getValue(node) % 1 != 0
 
 const relationIdentifierMap = {
     'eq': '=',
@@ -41,25 +41,25 @@ const relationIdentifierMap = {
 
 export const isRel = node => isApply(node) && node.op in relationIdentifierMap
 
-export const isNumber = node => {
-    if (node.type === 'Number') {
+export const isRationalNumber = node => {
+    if (node.type === 'Number' || isConstantFraction(node) || isIntegerFraction(node) || isDecimal(node) ) {
         return true
     } else if (isNeg(node)) {
-        return isNumber(node.args[0])
+        return isRationalNumber(node.args[0])
     } else {
         return false
     }
 }
 
 export const isInteger = node => {
-    return isNumber(node) && Number.isInteger(getValue(node))
+    return isRationalNumber(node) && Number.isInteger(getValue(node))
 }
 
 export const isPolynomial = (node) => {
     if (isPolynomialTerm(node)) {
         return true
     } else if (isDiv(node)) {
-        return isNumber(getDenominator(node)) && isPolynomial(getNumerator(node))
+        return isRationalNumber(getDenominator(node)) && isPolynomial(getNumerator(node))
     } else if (isAdd(node) || isMul(node)) {
         return node.args.every(isPolynomialTerm)
     } else {
@@ -70,10 +70,10 @@ export const isPolynomial = (node) => {
 export const isVariableFactor = (node) =>
     isIdentifier(node) ||
     isPow(node) && (isPolynomial(node.args[0]) || isPolynomialTerm(node))
-    && (isNumber(node.args[1]) || isVariableFactor(node.args[1]))
+    && (isRationalNumber(node.args[1]) || isVariableFactor(node.args[1]))
 
 export const isPolynomialTerm = (node) => {
-    if (isNumber(node) || isConstantFraction(node) || isDecimal(node)) {
+    if (isRationalNumber(node)) {
         return true
     } else if (isIdentifier(node)) {
         return true
@@ -130,13 +130,13 @@ export const getDenominator = (node) => {
 }
 
 export const hasConstantBase = node => isPow(node) &&
-    (isNumber(node.args[0]) || isConstantFraction(node.args[0]) || isIntegerFraction(node.args[0]))
+    (isRationalNumber(node.args[0]) || isConstantFraction(node.args[0]) || isIntegerFraction(node.args[0]))
 
 // TODO: handle multivariable polynomials
 // Get degree of a polynomial term
 // e.g. 6x^2 -> 2
 export const getPolyDegree = (node) => {
-    if (isNumber(node)) {
+    if (isRationalNumber(node)) {
         return build.number(0)
     } else if (isIdentifier(node)) {
         return build.number(1)
@@ -156,14 +156,14 @@ export const getPolyDegree = (node) => {
 
 // TODO: 2^2
 export const getCoefficient = (node) => {
-    if (isNumber(node) || hasConstantBase(node)) {
+    if (isRationalNumber(node) || hasConstantBase(node)) {
         return node
     } else if (isIdentifier(node) || isPow(node)) {
         return build.numberNode('1')
     } else if (isNeg(node)) {
         return build.neg(getCoefficient(node.args[0]), {wasMinus: node.wasMinus})
     } else if (isMul(node)) {
-        const numbers = node.args.filter(arg => isNumber(arg) || isConstantFraction(arg))
+        const numbers = node.args.filter(arg => isRationalNumber(arg) || isConstantFraction(arg))
         if (numbers.length > 1) {
             return build.mul(...numbers)
         } else if (numbers.length === 1) {
@@ -210,7 +210,7 @@ export const sortVariables = (variables) =>
   {constants: [3], coefficientMap: ['x^2': [2, 5], 'x': [3]]}
 */
 export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants = [], others = []) => {
-    if (isNumber(node) || isConstantFraction(node)) {
+    if (isRationalNumber(node) || isConstantFraction(node)) {
         constants.push(node)
     } else if (isFunction(node) || hasConstantBase(node)) {
         // cos, sin, f(a), etc
@@ -233,7 +233,7 @@ export const getCoefficientsAndConstants = (node, coefficientMap = {}, constants
             coefficientMap[key].push(coefficient)
         }
     } else if(isPolynomial(node) || isAdd(node) || (isMul(node) && node.args.every(isPolynomialTerm))) {
-        // 2x^2 + 3x + 1, 3x^2 * 2x^2
+        // 2x^2 + 3x + 1, 3x^2 * 2x^2, x + 4 + x + 2^x
         node.args.forEach(function(arg) {
             getCoefficientsAndConstants(arg, coefficientMap, constants, others)
         })
@@ -255,3 +255,27 @@ export const hasSameBase = (node1, node2) => {
 }
 
 export const nodeEquals = (node1, node2) => print(node1) === print(node2)
+
+export const hasCoeff = (node) => {
+    return isPolynomialTerm(node) && !isIdentifier(node) && !isRationalNumber(node)
+}
+
+// e.g 3 -> -3, -3x -> 3x, x + 3 -> -(x + 3), 2/3 -> -2 / 3
+export const negate = (node) => {
+    if (isNeg(node)) {
+        return node.args[0]
+    } else if (isAdd(node)) {
+        return build.neg(node)
+    } else if (isFraction(node)) {
+        return build.div(negate(getNumerator(node)), getDenominator(node))
+    } else if (isPolynomialTerm(node)) {
+        if (isNeg(getCoefficient(node))) {
+            return build.apply(
+                'mul',
+                [negate(getCoefficient(node)), ...node.args.slice(1)],
+                {implicit: node.implicit})
+        } else {
+            return build.neg(node)
+        }
+    } 
+}

From 8c5671b539f3855c18aba6935ce00d6711b992a6 Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Thu, 6 Jul 2017 00:07:04 -0400
Subject: [PATCH 18/19] fix lint

---
 lib/__test__/query.test.js | 16 ++++++++--------
 1 file changed, 8 insertions(+), 8 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index bd30f1b..05c8dac 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -119,15 +119,15 @@ describe('query', () => {
 
     it('negate', () => {
         assert.equal(print(query.negate(parse('2'))), -2)
-        assert.equal(print(query.negate(parse('2x^2'))), `-2 x^2`)
-        assert.equal(print(query.negate(parse('2xyz'))), `-2 xyz`)
+        assert.equal(print(query.negate(parse('2x^2'))), '-2 x^2')
+        assert.equal(print(query.negate(parse('2xyz'))), '-2 xyz')
         assert.equal(print(query.negate(parse('-2'))), 2)
-        assert.equal(print(query.negate(parse('-2x^2'))), `2 x^2`)
-        assert.equal(print(query.negate(parse('-2x^2 y^2'))), `2 x^2 y^2`)
-        assert.equal(print(query.negate(parse('2x^2 y^2'))), `-2 x^2 y^2`)
-        assert.equal(print(query.negate(parse('2/3'))), `-2 / 3`)
-        assert.equal(print(query.negate(parse('-2/3'))), `2 / 3`)
-        assert.equal(print(query.negate(parse('(x+3)/3'))), `-(x + 3) / 3`)
+        assert.equal(print(query.negate(parse('-2x^2'))), '2 x^2')
+        assert.equal(print(query.negate(parse('-2x^2 y^2'))), '2 x^2 y^2')
+        assert.equal(print(query.negate(parse('2x^2 y^2'))), '-2 x^2 y^2')
+        assert.equal(print(query.negate(parse('2/3'))), '-2 / 3')
+        assert.equal(print(query.negate(parse('-2/3'))), '2 / 3')
+        assert.equal(print(query.negate(parse('(x+3)/3'))), '-(x + 3) / 3')
     })
 
     it('hasSameBase', () => {

From 5df8e669edf1f68039748c2827702c7d5f994bbb Mon Sep 17 00:00:00 2001
From: Anthony <aliang8@stuy.edu>
Date: Thu, 6 Jul 2017 00:24:29 -0400
Subject: [PATCH 19/19] fixed comments

---
 lib/__test__/query.test.js | 23 +++++++++++++----------
 lib/build.js               | 22 ++++++++++++++++++++++
 lib/query.js               | 20 --------------------
 3 files changed, 35 insertions(+), 30 deletions(-)

diff --git a/lib/__test__/query.test.js b/lib/__test__/query.test.js
index 2573013..9e6c88f 100644
--- a/lib/__test__/query.test.js
+++ b/lib/__test__/query.test.js
@@ -119,16 +119,16 @@ describe('query', () => {
     })
 
     it('negate', () => {
-        assert.equal(print(query.negate(parse('2'))), -2)
-        assert.equal(print(query.negate(parse('2x^2'))), '-2 x^2')
-        assert.equal(print(query.negate(parse('2xyz'))), '-2 xyz')
-        assert.equal(print(query.negate(parse('-2'))), 2)
-        assert.equal(print(query.negate(parse('-2x^2'))), '2 x^2')
-        assert.equal(print(query.negate(parse('-2x^2 y^2'))), '2 x^2 y^2')
-        assert.equal(print(query.negate(parse('2x^2 y^2'))), '-2 x^2 y^2')
-        assert.equal(print(query.negate(parse('2/3'))), '-2 / 3')
-        assert.equal(print(query.negate(parse('-2/3'))), '2 / 3')
-        assert.equal(print(query.negate(parse('(x+3)/3'))), '-(x + 3) / 3')
+        assert.equal(print(build.negate(parse('2'))), -2)
+        assert.equal(print(build.negate(parse('2x^2'))), '-2 x^2')
+        assert.equal(print(build.negate(parse('2xyz'))), '-2 xyz')
+        assert.equal(print(build.negate(parse('-2'))), 2)
+        assert.equal(print(build.negate(parse('-2x^2'))), '2 x^2')
+        assert.equal(print(build.negate(parse('-2x^2 y^2'))), '2 x^2 y^2')
+        assert.equal(print(build.negate(parse('2x^2 y^2'))), '-2 x^2 y^2')
+        assert.equal(print(build.negate(parse('2/3'))), '-2 / 3')
+        assert.equal(print(build.negate(parse('-2/3'))), '2 / 3')
+        assert.equal(print(build.negate(parse('(x+3)/3'))), '-(x + 3) / 3')
     })
 
     it('hasSameBase', () => {
@@ -290,7 +290,10 @@ describe('query', () => {
     it('isRationalNumber', () => {
         assert(query.isRationalNumber(a))
         assert(query.isRationalNumber(parse('-2')))
+        assert(query.isRationalNumber(parse('2/3')))
+        assert(query.isRationalNumber(parse('2.2')))
         assert(!query.isRationalNumber(x))
+        assert(!query.isRationalNumber(parse('(2 + x)/2')))
     })
 
     it('getValue', () => {
diff --git a/lib/build.js b/lib/build.js
index 4c4a4ce..a05df6d 100644
--- a/lib/build.js
+++ b/lib/build.js
@@ -2,6 +2,8 @@
  * Functions to build nodes
  */
 
+const q = require('./query.js')
+
 export const apply = (op, args, options = {}) => ({
     type: 'Apply',
     op: op,
@@ -56,3 +58,23 @@ export const parensNode = parens
 export const numberNode = number
 export const identifierNode = identifier
 export const applyNode = apply
+
+// e.g 3 -> -3, -3x -> 3x, x + 3 -> -(x + 3), 2/3 -> -2 / 3
+export const negate = (node) => {
+    if (q.isNeg(node)) {
+        return node.args[0]
+    } else if (q.isAdd(node)) {
+        return neg(node)
+    } else if (q.isFraction(node)) {
+        return div(negate(q.getNumerator(node)), q.getDenominator(node))
+    } else if (q.isPolynomialTerm(node)) {
+        if (q.isNeg(q.getCoefficient(node))) {
+            return apply(
+                'mul',
+                [negate(q.getCoefficient(node)), ...node.args.slice(1)],
+                {implicit: node.implicit})
+        } else {
+            return neg(node)
+        }
+    } 
+}
diff --git a/lib/query.js b/lib/query.js
index ecdd2f1..db79dc4 100644
--- a/lib/query.js
+++ b/lib/query.js
@@ -261,23 +261,3 @@ export const nodeEquals = (node1, node2) => print(node1) === print(node2)
 export const hasCoeff = (node) => {
     return isPolynomialTerm(node) && !isIdentifier(node) && !isRationalNumber(node)
 }
-
-// e.g 3 -> -3, -3x -> 3x, x + 3 -> -(x + 3), 2/3 -> -2 / 3
-export const negate = (node) => {
-    if (isNeg(node)) {
-        return node.args[0]
-    } else if (isAdd(node)) {
-        return build.neg(node)
-    } else if (isFraction(node)) {
-        return build.div(negate(getNumerator(node)), getDenominator(node))
-    } else if (isPolynomialTerm(node)) {
-        if (isNeg(getCoefficient(node))) {
-            return build.apply(
-                'mul',
-                [negate(getCoefficient(node)), ...node.args.slice(1)],
-                {implicit: node.implicit})
-        } else {
-            return build.neg(node)
-        }
-    } 
-}