diff --git a/src/BigNumber.php b/src/BigNumber.php
index f26d37e..2b86362 100644
--- a/src/BigNumber.php
+++ b/src/BigNumber.php
@@ -61,14 +61,12 @@ public static function of($value) : BigNumber
             return new BigInteger((string) $value);
         }
 
-        if (is_float($value)) {
-            $locData = localeconv();
-
-            $value = str_replace([$locData['thousands_sep'], $locData['decimal_point']], ['', '.'], (string) $value);
-        } else {
-            $value = (string) $value;
+        if (\is_float($value)) {
+            return self::convertFloat($value);
         }
 
+        $value = (string) $value;
+
         if (\preg_match(self::PARSE_REGEXP, $value, $matches) !== 1) {
             throw new NumberFormatException(\sprintf('The given value "%s" does not represent a valid number.', $value));
         }
@@ -107,6 +105,78 @@ public static function of($value) : BigNumber
         return new BigInteger($integral);
     }
 
+    /**
+     * @param float $number
+     *
+     * @return BigDecimal
+     */
+    private static function convertFloat(float $number) : BigDecimal
+    {
+        $bin = pack('E', $number);
+        $hex = bin2hex($bin);
+
+        if ($hex === '0000000000000000' || $hex === '8000000000000000') {
+            return BigDecimal::zero();
+        }
+
+        $hex3 = substr($hex, 0, 3);
+        $hex13 = substr($hex, 3);
+
+        if ($hex3 === '7ff' || $hex3 === 'fff') {
+            if ($hex13 === '0000000000000') {
+                $message = 'Cannot represent infinity as a BigNumber.';
+            } else {
+                $message = 'Cannot represent NaN as a BigNumber.';
+            }
+
+            throw new NumberFormatException($message);
+        }
+
+        $sign = ord($bin[0]) >> 7 & 1;
+
+        $twoBytes = substr($bin, 0, 2);
+        $elevenBits = $twoBytes & "\x7F\xF0";
+
+        $exponent = unpack('nx', $elevenBits)['x'] >> 4;
+        $isSubnormal = ($exponent === 0);
+        $exponent -= 1023;
+
+        $testBit = function(int $bit) use ($bin) : int {
+            $index = intdiv($bit, 8);
+            $ord = ord($bin[$index]);
+            $bit -= $index * 8;
+
+            return $ord >> (7 - $bit) & 1;
+        };
+
+        $number = $isSubnormal ? BigDecimal::zero() : BigDecimal::one();
+
+        for ($bit = 0; $bit < 52; $bit++) {
+            if ($testBit($bit + 12)) {
+                $pow = $isSubnormal ? $bit : $bit + 1;
+                $delta = BigDecimal::one()->dividedBy(BigDecimal::of(2)->power($pow), $pow);
+                $number = $number->plus($delta);
+            }
+        }
+
+        $exponentAbs = ($exponent < 0 ? -$exponent : $exponent);
+        $power = BigDecimal::of(2)->power($exponentAbs);
+
+        if ($exponent < 0) {
+            $number = $number->dividedBy($power, $number->getScale() + $exponentAbs);
+        } else {
+            $number = $number->multipliedBy($power);
+        }
+
+        $number = $number->stripTrailingZeros();
+
+        if ($sign === 1) {
+            $number = $number->negated();
+        }
+
+        return $number;
+    }
+
     /**
      * Proxy method to access protected constructors from sibling classes.
      *
diff --git a/tests/BigDecimalTest.php b/tests/BigDecimalTest.php
index 99d0a1d..63acc7d 100644
--- a/tests/BigDecimalTest.php
+++ b/tests/BigDecimalTest.php
@@ -40,9 +40,19 @@ public function providerOf()
             [PHP_INT_MIN, (string) PHP_INT_MIN, 0],
 
             [0.0, '0', 0],
-            [0.1, '1', 1],
+            [0.5, '5', 1],
+            [0.25, '25', 2],
+            [0.125, '125', 3],
+            [0.0625, '625', 4],
+            [0.03125, '3125', 5],
+            [0.1, '1000000000000000055511151231257827021181583404541015625', 55],
             [1.0, '1', 0],
-            [1.1, '11', 1],
+            [1.1, '1100000000000000088817841970012523233890533447265625', 51],
+            [2.0, '2', 0],
+            [2.5, '25', 1],
+            [6.25, '625', 2],
+            [77.0, '77', 0],
+            [1125899906842624.0, '1125899906842624', 0],
 
             ['0', '0', 0],
             ['+0', '0', 0],
@@ -313,8 +323,8 @@ public function providerMin()
     {
         return [
             [[0, 1, -1], '-1'],
-            [[0, 1, -1, -1.2], '-1.2'],
-            [['1e30', '123456789123456789123456789', 2e25], '20000000000000000000000000'],
+            [[0, 1, -1, '-1.2'], '-1.2'],
+            [['1e30', '123456789123456789123456789', '2e25'], '20000000000000000000000000'],
             [['1e30', '123456789123456789123456789', 2e26], '123456789123456789123456789'],
             [[0, '10', '5989', '-3/3'], '-1'],
             [['-0.0000000000000000000000000000001', '0'], '-0.0000000000000000000000000000001'],
@@ -360,11 +370,11 @@ public function testMax(array $values, $max)
     public function providerMax()
     {
         return [
-            [[0, 0.9, -1.00], '0.9'],
-            [[0, 0.01, -1, -1.2], '0.01'],
+            [[0, '0.9', -1.00], '0.9'],
+            [[0, '1/100', -1, -1.2], '0.01'],
             [[0, 0.01, -1, -1.2, '2e-1'], '0.2'],
-            [['1e-30', '123456789123456789123456789', 2e25], '123456789123456789123456789'],
-            [['1e-30', '123456789123456789123456789', 2e26], '200000000000000000000000000'],
+            [['1e-30', '123456789123456789123456789', '2e25'], '123456789123456789123456789'],
+            [['1e-30', '123456789123456789123456789', '2e26'], '200000000000000000000000000'],
             [[0, '10', '5989', '-1'], '5989'],
             [[0, '10', '5989', '5989.000000000000000000000000000000001', '-1'], '5989.000000000000000000000000000000001'],
             [[0, '10', '5989', '5989.000000000000000000000000000000001', '-1', '5990'], '5990'],
@@ -412,11 +422,11 @@ public function testSum(array $values, $sum)
     public function providerSum()
     {
         return [
-            [[0, 0.9, -1.00], '-0.1'],
-            [[0, 0.01, -1, -1.2], '-2.19'],
-            [[0, 0.01, -1, -1.2, '2e-1'], '-1.99'],
-            [['1e-30', '123456789123456789123456789', 2e25], '143456789123456789123456789.000000000000000000000000000001'],
-            [['1e-30', '123456789123456789123456789', 2e26], '323456789123456789123456789.000000000000000000000000000001'],
+            [[0, '0.9', -1.00], '-0.1'],
+            [[0, '0.01', -1, '-1.2'], '-2.19'],
+            [[0, '0.01', -1, '-1.2', '2e-1'], '-1.99'],
+            [['1e-30', '123456789123456789123456789', '2e25'], '143456789123456789123456789.000000000000000000000000000001'],
+            [['1e-30', '123456789123456789123456789', '2e26'], '323456789123456789123456789.000000000000000000000000000001'],
             [[0, '10', '5989', '-1'], '5998'],
             [[0, '10', '5989', '5989.000000000000000000000000000000001', '-1'], '11987.000000000000000000000000000000001'],
             [[0, '10', '5989', '5989.000000000000000000000000000000001', '-1', '5990'], '17977.000000000000000000000000000000001'],
diff --git a/tests/BigNumberTest.php b/tests/BigNumberTest.php
index 08d0c9b..ee9a495 100644
--- a/tests/BigNumberTest.php
+++ b/tests/BigNumberTest.php
@@ -1,11 +1,14 @@
 <?php
 
+declare(strict_types=1);
+
 namespace Brick\Math\Tests;
 
 use Brick\Math\BigDecimal;
 use Brick\Math\BigInteger;
 use Brick\Math\BigNumber;
 use Brick\Math\BigRational;
+use Brick\Math\Exception\NumberFormatException;
 
 /**
  * Unit tests for class BigNumber.
@@ -15,6 +18,566 @@
  */
 class BigNumberTest extends AbstractTestCase
 {
+    /**
+     * Specific tests for float handling. More generic tests are performed on concrete classes.
+     *
+     * @dataProvider providerOfFloat
+     * @dataProvider providerOfFloatHex
+     *
+     * @param float  $number
+     * @param string $expected
+     *
+     * @return void
+     */
+    public function testOfFloat(float $number, string $expected) : void
+    {
+        $result = BigNumber::of($number);
+
+        $this->assertInstanceOf(BigDecimal::class, $result);
+        $this->assertSame($expected, (string) $result);
+    }
+
+    /**
+     * @return array
+     */
+    public function providerOfFloat() : array
+    {
+        return [
+            [0.0, '0'],
+            [1.0, '1'],
+            [2.0, '2'],
+            [3.0, '3'],
+
+            [-0.0, '0'],
+            [-1.0, '-1'],
+            [-2.0, '-2'],
+            [-3.0, '-3'],
+
+            [0.5, '0.5'],
+            [0.25, '0.25'],
+            [0.125, '0.125'],
+            [0.0625, '0.0625'],
+            [0.03125, '0.03125'],
+            [0.015625, '0.015625'],
+            [0.0078125, '0.0078125'],
+
+            [0.5, '0.5'],
+            [0.25, '0.25'],
+            [0.125, '0.125'],
+            [0.0625, '0.0625'],
+            [0.03125, '0.03125'],
+            [0.015625, '0.015625'],
+            [0.0078125, '0.0078125'],
+            [0.00390625, '0.00390625'],
+            [0.001953125, '0.001953125'],
+            [0.0009765625, '0.0009765625'],
+            [0.00048828125, '0.00048828125'],
+            [0.000244140625, '0.000244140625'],
+            [0.0001220703125, '0.0001220703125'],
+            [0.00006103515625, '0.00006103515625'],
+            [0.000030517578125, '0.000030517578125'],
+            [0.0000152587890625, '0.0000152587890625'],
+            [0.00000762939453125, '0.00000762939453125'],
+            [0.000003814697265625, '0.000003814697265625'],
+            [0.0000019073486328125, '0.0000019073486328125'],
+            [0.00000095367431640625, '0.00000095367431640625'],
+            [0.000000476837158203125, '0.000000476837158203125'],
+            [0.0000002384185791015625, '0.0000002384185791015625'],
+            [0.00000011920928955078125, '0.00000011920928955078125'],
+            [0.000000059604644775390625, '0.000000059604644775390625'],
+            [0.0000000298023223876953125, '0.0000000298023223876953125'],
+            [0.00000001490116119384765625, '0.00000001490116119384765625'],
+            [0.000000007450580596923828125, '0.000000007450580596923828125'],
+            [0.0000000037252902984619140625, '0.0000000037252902984619140625'],
+            [0.00000000186264514923095703125, '0.00000000186264514923095703125'],
+            [0.000000000931322574615478515625, '0.000000000931322574615478515625'],
+            [0.0000000004656612873077392578125, '0.0000000004656612873077392578125'],
+            [0.00000000023283064365386962890625, '0.00000000023283064365386962890625'],
+            [0.000000000116415321826934814453125, '0.000000000116415321826934814453125'],
+            [0.0000000000582076609134674072265625, '0.0000000000582076609134674072265625'],
+            [0.00000000002910383045673370361328125, '0.00000000002910383045673370361328125'],
+            [0.000000000014551915228366851806640625, '0.000000000014551915228366851806640625'],
+            [0.0000000000072759576141834259033203125, '0.0000000000072759576141834259033203125'],
+            [0.00000000000363797880709171295166015625, '0.00000000000363797880709171295166015625'],
+            [0.000000000001818989403545856475830078125, '0.000000000001818989403545856475830078125'],
+            [0.0000000000009094947017729282379150390625, '0.0000000000009094947017729282379150390625'],
+            [0.00000000000045474735088646411895751953125, '0.00000000000045474735088646411895751953125'],
+            [0.000000000000227373675443232059478759765625, '0.000000000000227373675443232059478759765625'],
+            [0.0000000000001136868377216160297393798828125, '0.0000000000001136868377216160297393798828125'],
+            [0.00000000000005684341886080801486968994140625, '0.00000000000005684341886080801486968994140625'],
+            [0.000000000000028421709430404007434844970703125, '0.000000000000028421709430404007434844970703125'],
+            [0.0000000000000142108547152020037174224853515625, '0.0000000000000142108547152020037174224853515625'],
+            [0.00000000000000710542735760100185871124267578125, '0.00000000000000710542735760100185871124267578125'],
+            [0.000000000000003552713678800500929355621337890625, '0.000000000000003552713678800500929355621337890625'],
+            [0.0000000000000017763568394002504646778106689453125, '0.0000000000000017763568394002504646778106689453125'],
+            [0.00000000000000088817841970012523233890533447265625, '0.00000000000000088817841970012523233890533447265625'],
+            [0.000000000000000444089209850062616169452667236328125, '0.000000000000000444089209850062616169452667236328125'],
+            [0.0000000000000002220446049250313080847263336181640625, '0.0000000000000002220446049250313080847263336181640625'],
+            [0.00000000000000011102230246251565404236316680908203125, '0.00000000000000011102230246251565404236316680908203125'],
+            [0.000000000000000055511151231257827021181583404541015625, '0.000000000000000055511151231257827021181583404541015625'],
+            [0.0000000000000000277555756156289135105907917022705078125, '0.0000000000000000277555756156289135105907917022705078125'],
+            [0.00000000000000001387778780781445675529539585113525390625, '0.00000000000000001387778780781445675529539585113525390625'],
+            [0.000000000000000006938893903907228377647697925567626953125, '0.000000000000000006938893903907228377647697925567626953125'],
+            [0.0000000000000000034694469519536141888238489627838134765625, '0.0000000000000000034694469519536141888238489627838134765625'],
+            [0.00000000000000000173472347597680709441192448139190673828125, '0.00000000000000000173472347597680709441192448139190673828125'],
+            [0.000000000000000000867361737988403547205962240695953369140625, '0.000000000000000000867361737988403547205962240695953369140625'],
+            [0.0000000000000000004336808689942017736029811203479766845703125, '0.0000000000000000004336808689942017736029811203479766845703125'],
+            [0.00000000000000000021684043449710088680149056017398834228515625, '0.00000000000000000021684043449710088680149056017398834228515625'],
+            [0.000000000000000000108420217248550443400745280086994171142578125, '0.000000000000000000108420217248550443400745280086994171142578125'],
+            [0.0000000000000000000542101086242752217003726400434970855712890625, '0.0000000000000000000542101086242752217003726400434970855712890625'],
+            [0.00000000000000000002710505431213761085018632002174854278564453125, '0.00000000000000000002710505431213761085018632002174854278564453125'],
+            [0.000000000000000000013552527156068805425093160010874271392822265625, '0.000000000000000000013552527156068805425093160010874271392822265625'],
+            [0.0000000000000000000067762635780344027125465800054371356964111328125, '0.0000000000000000000067762635780344027125465800054371356964111328125'],
+            [0.00000000000000000000338813178901720135627329000271856784820556640625, '0.00000000000000000000338813178901720135627329000271856784820556640625'],
+            [0.000000000000000000001694065894508600678136645001359283924102783203125, '0.000000000000000000001694065894508600678136645001359283924102783203125'],
+
+            [0.1, '0.1000000000000000055511151231257827021181583404541015625'],
+            [0.01, '0.01000000000000000020816681711721685132943093776702880859375'],
+            [0.001, '0.001000000000000000020816681711721685132943093776702880859375'],
+            [0.0001, '0.000100000000000000004792173602385929598312941379845142364501953125'],
+            [1.0e-5, '0.000010000000000000000818030539140313095458623138256371021270751953125'],
+            [1.0e-6, '0.000000999999999999999954748111825886258685613938723690807819366455078125'],
+            [1.0e-7, '0.0000000999999999999999954748111825886258685613938723690807819366455078125'],
+            [1.0e-8, '0.000000010000000000000000209225608301284726753266340892878361046314239501953125'],
+            [1.0e-9, '0.0000000010000000000000000622815914577798564188970686927859787829220294952392578125'],
+            [1.0e-10, '0.00000000010000000000000000364321973154977415791655470655996396089904010295867919921875'],
+            [1.0e-11, '0.00000000000999999999999999939496969281939810930172340963650867706746794283390045166015625'],
+            [1.0e-12, '0.00000000000099999999999999997988664762925561536725284350612952266601496376097202301025390625'],
+            [1.0e-13, '0.00000000000010000000000000000303737455634003709136034716842278413651001756079494953155517578125'],
+            [1.0e-14, '0.000000000000009999999999999999988193093545598986971343290729163921781719182035885751247406005859375'],
+            [1.0e-15, '0.00000000000000100000000000000007770539987666107923830718560119501514549256171449087560176849365234375'],
+            [1.0e-16, '0.00000000000000009999999999999999790977867240346035618411149408467364363417573258630000054836273193359375'],
+            [1.0e-17, '0.0000000000000000100000000000000007154242405462192450852805618492324772617063644020163337700068950653076171875'],
+            [1.0e-18, '0.00000000000000000100000000000000007154242405462192450852805618492324772617063644020163337700068950653076171875'],
+            [1.0e-19, '0.000000000000000000099999999999999997524592683526013185572915905567688179926555402943222361500374972820281982421875'],
+            [1.0e-20, '0.00000000000000000000999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375'],
+            [1.0e-21, '0.00000000000000000000099999999999999990753745222789637139672993451167553075691041795935998237609965144656598567962646484375'],
+            [1.0e-22, '0.00000000000000000000010000000000000000485967743265708723529783189783450120951502847720104849571498561999760568141937255859375'],
+            [1.0e-23, '0.000000000000000000000009999999999999999604346980148993092553230786866765862587503680141039208439934782290947623550891876220703125'],
+            [1.0e-24, '0.000000000000000000000000999999999999999923700499551702824631300061898481408826917069364976185796844987407894222997128963470458984375'],
+            [1.0e-25, '0.0000000000000000000000001000000000000000038494869749191839081371989361591338301396127643500357819184021224145908490754663944244384765625'],
+            [1.0e-26, '0.00000000000000000000000001000000000000000038494869749191839081371989361591338301396127643500357819184021224145908490754663944244384765625'],
+            [1.0e-27, '0.000000000000000000000000001000000000000000038494869749191839081371989361591338301396127643500357819184021224145908490754663944244384765625'],
+            [1.0e-28, '0.00000000000000000000000000009999999999999999712325434616006196770329693636753639999435544334276007748447435974359365218333550728857517242431640625'],
+            [1.0e-29, '0.00000000000000000000000000000999999999999999943206574175104278258558377697877041374338315595897285339703377919640114868116143043152987957000732421875'],
+            [1.0e-30, '0.000000000000000000000000000001000000000000000083336420607585985350931336026868654502364509783548862515410206308619223136702203191816806793212890625'],
+            [1.0e-31, '0.0000000000000000000000000000001000000000000000083336420607585985350931336026868654502364509783548862515410206308619223136702203191816806793212890625'],
+            [1.0e-32, '0.000000000000000000000000000000010000000000000000559673099762419019344522426032374800632968937312731638482799663888967410529939883190309046767652034759521484375'],
+            [1.0e-33, '0.0000000000000000000000000000000010000000000000000559673099762419019344522426032374800632968937312731638482799663888967410529939883190309046767652034759521484375'],
+            [1.0e-34, '0.000000000000000000000000000000000099999999999999992767460389181651091970649217996634988016744348623082634610696676519760628561173110284698850591666996479034423828125'],
+            [1.0e-35, '0.0000000000000000000000000000000000100000000000000000785754519458238030392258619451080624462334988938228728496509153000956551522564186296193611269700340926647186279296875'],
+            [1.0e-36, '0.000000000000000000000000000000000000999999999999999941038427442277489150409174515723759274243427886756069835916654225999599490547382896199479773713392205536365509033203125'],
+            [1.0e-37, '0.0000000000000000000000000000000000001000000000000000066324273227849160063246821413449472343705781641680227552882474171018285786819118458879085409307663212530314922332763671875'],
+            [1.0e-38, '0.000000000000000000000000000000000000009999999999999999619194017398727676358821156653447114524871535125767627887442908835027138732593388233127473796457707067020237445831298828125'],
+            [1.0e-39, '0.00000000000000000000000000000000000000099999999999999992929287939988014500233064511906197367398133222223193004995110860615409765027190768719826674537642929863068275153636932373046875'],
+            [1.0e-40, '0.000000000000000000000000000000000000000099999999999999992929287939988014500233064511906197367398133222223193004995110860615409765027190768719826674537642929863068275153636932373046875'],
+            [1.0e-41, '0.000000000000000000000000000000000000000010000000000000000057612911342378542997169042119121403423543508714776317814976295686899169228986994124665807319451982237978882039897143840789794921875'],
+            [1.0e-42, '0.000000000000000000000000000000000000000001000000000000000037623129356886899840294512167266376454176441975330007502975346636413174953159862631328378226348851942617557142511941492557525634765625'],
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+            [1.0e-321, '0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099801260459931801923666896159380717217742080128093602413968307865136452468582167876790566945050470460718906068480034981647184655491899838872552508794177939381512744064442903714624855067905494384945121164483513743606056101290256649020126846237119626249180262258286406507850410973500190249416547385028450727173781991182746236252944861481475976519702221969027750986201419907470261860634244145791554000943869540974809592189758199533127230312351681347914563415763571332407310982264017381560815125109066134447859034814141432424630157012182514001830250807680646999561682793730407068052912519715436287930579669763048089895219538343134222456398800249310964827310978469307915272618699672029160811516955193269223640703904400217627568281386629678308963775634765625'],
+            [1.0e-322, '0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000988131291682493088353137585736442744730119605228649528851171365001351014540417503730599672723271984759593129390891435461853313420711879592797549592021563756252601426380622809055691634335697964207377437272113997461446100012774818307129968774624946794546339230280063430770796148252477131182342053317113373536374079120621249863890543182984910658610913088802254960259419999083863978818160833126649049514295738029453560318710477223100269607052986944038758053621421498340666445368950667144166486387218476578691673612021202301233961950615668455463665849580996504946155275185449574931216955640746893939906729403594535543517025132110239826300978220290207572547633450191167477946719798732961988232841140527418055848553508913045817507736501283943653106689453125'],
+            [1.0e-323, '0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000988131291682493088353137585736442744730119605228649528851171365001351014540417503730599672723271984759593129390891435461853313420711879592797549592021563756252601426380622809055691634335697964207377437272113997461446100012774818307129968774624946794546339230280063430770796148252477131182342053317113373536374079120621249863890543182984910658610913088802254960259419999083863978818160833126649049514295738029453560318710477223100269607052986944038758053621421498340666445368950667144166486387218476578691673612021202301233961950615668455463665849580996504946155275185449574931216955640746893939906729403594535543517025132110239826300978220290207572547633450191167477946719798732961988232841140527418055848553508913045817507736501283943653106689453125'],
+            [5.0e-324, '0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004940656458412465441765687928682213723650598026143247644255856825006755072702087518652998363616359923797965646954457177309266567103559397963987747960107818781263007131903114045278458171678489821036887186360569987307230500063874091535649843873124733972731696151400317153853980741262385655911710266585566867681870395603106249319452715914924553293054565444011274801297099995419319894090804165633245247571478690147267801593552386115501348035264934720193790268107107491703332226844753335720832431936092382893458368060106011506169809753078342277318329247904982524730776375927247874656084778203734469699533647017972677717585125660551199131504891101451037862738167250955837389733598993664809941164205702637090279242767544565229087538682506419718265533447265625'],
+
+            [9.99, '9.9900000000000002131628207280300557613372802734375'],
+            [9.999, '9.9990000000000005542233338928781449794769287109375'],
+            [9.9999, '9.999900000000000233058017329312860965728759765625'],
+            [9.99999, '9.999990000000000378577169612981379032135009765625'],
+            [9.999999, '9.9999990000000007484004527213983237743377685546875'],
+            [9.9999999, '9.9999999000000006077470970922149717807769775390625'],
+            [9.99999999, '9.99999998999999917259629000909626483917236328125'],
+            [9.999999999, '9.999999998999999917259629000909626483917236328125'],
+            [9.9999999999, '9.9999999998999999917259629000909626483917236328125'],
+            [9.99999999999, '9.9999999999900008873510159901343286037445068359375'],
+            [9.999999999999, '9.9999999999989999110994176589883863925933837890625'],
+            [9.9999999999999, '9.9999999999999005240169935859739780426025390625'],
+            [9.99999999999999, '9.999999999999989341858963598497211933135986328125'],
+            [9.999999999999999, '9.9999999999999982236431605997495353221893310546875'],
+
+            [-3.77, '-3.770000000000000017763568394002504646778106689453125'],
+            [-3.777, '-3.77700000000000013500311979441903531551361083984375'],
+            [-3.7777, '-3.777699999999999835864628039416857063770294189453125'],
+            [-3.77777, '-3.777769999999999850359699848922900855541229248046875'],
+            [-3.777777, '-3.777776999999999940627048999886028468608856201171875'],
+            [-3.7777777, '-3.777777700000000127289467855007387697696685791015625'],
+            [-3.77777777, '-3.77777777000000014595570974051952362060546875'],
+            [-3.777777777, '-3.77777777699999983695988703402690589427947998046875'],
+            [-3.7777777777, '-3.77777777769999989487814673339016735553741455078125'],
+            [-3.77777777777, '-3.7777777777699999006699727033264935016632080078125'],
+            [-3.777777777777, '-3.777777777777000078884839240345172584056854248046875'],
+            [-3.7777777777777, '-3.777777777777699963479562939028255641460418701171875'],
+            [-3.77777777777777, '-3.777777777777770129574719248921610414981842041015625'],
+        ];
+    }
+
+    /**
+     * @return iterable
+     */
+    public function providerOfFloatHex() : iterable
+    {
+        $tests = [
+            // PHP_FLOAT_MIN
+            '0010000000000000' => '0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002225073858507201383090232717332404064219215980462331830553327416887204434813918195854283159012511020564067339731035811005152434161553460108856012385377718821130777993532002330479610147442583636071921565046942503734208375250806650616658158948720491179968591639648500635908770118304874799780887753749949451580451605050915399856582470818645113537935804992115981085766051992433352114352390148795699609591288891602992641511063466313393663477586513029371762047325631781485664350872122828637642044846811407613911477062801689853244110024161447421618567166150540154285084716752901903161322778896729707373123334086988983175067838846926092773977972858659654941091369095406136467568702398678315290680984617210924625396728515625',
+
+            // PHP_FLOAT_MAX
+            '7fefffffffffffff' => '179769313486231570814527423731704356798070567525844996598917476803157260780028538760589558632766878171540458953514382464234321326889464182768467546703537516986049910576551282076245490090389328944075868508455133942304583236903222948165808559332123348274797826204144723168738177180919299881250404026184124858368',
+
+            // PHP_FLOAT_EPSLLON
+            '3cb0000000000000' => '0.0000000000000002220446049250313080847263336181640625',
+        ];
+
+        foreach ($tests as $hex => $expected) {
+            $float = unpack('Ef', hex2bin($hex))['f'];
+            yield [$float, $expected];
+        }
+    }
+
+    /**
+     * @dataProvider providerOfInfinity
+     *
+     * @param float $number
+     */
+    public function testOfInfinity(float $number) : void
+    {
+        $this->expectException(NumberFormatException::class);
+        $this->expectExceptionMessage('Cannot represent infinity as a BigNumber.');
+
+        BigNumber::of($number);
+    }
+
+    /**
+     * @return array
+     */
+    public function providerOfInfinity() : array
+    {
+        return [
+            [INF],
+            [-INF]
+        ];
+    }
+
+    /**
+     * @dataProvider providerOfNaN
+     *
+     * @param float $number
+     */
+    public function testOfNaN(float $number) : void
+    {
+        $this->expectException(NumberFormatException::class);
+        $this->expectExceptionMessage('Cannot represent NaN as a BigNumber.');
+
+        BigNumber::of($number);
+    }
+
+    /**
+     * @return array
+     */
+    public function providerOfNaN() : iterable
+    {
+        yield [NAN];
+
+        // FFF followed by any non-zero value is NaN
+
+        $tests = [
+            'FFF0000000000001',
+            'FFF0000000000010',
+            'FFF0000000000100',
+            'FFF0000000001000',
+            'FFF0000000010000',
+            'FFF0000000100000',
+            'FFF0000001000000',
+            'FFF0000010000000',
+            'FFF0000100000000',
+            'FFF0001000000000',
+            'FFF0010000000000',
+            'FFF0100000000000',
+            'FFF1000000000000',
+            'FFF8000000000000',
+            'FFFF000000000000',
+        ];
+
+        foreach ($tests as $hex) {
+            yield [unpack('Ex', hex2bin($hex))['x']];
+        }
+    }
+
     /**
      * @dataProvider providerSum
      *
diff --git a/tests/BigRationalTest.php b/tests/BigRationalTest.php
index 8b04e75..5dd3711 100644
--- a/tests/BigRationalTest.php
+++ b/tests/BigRationalTest.php
@@ -191,10 +191,10 @@ public function providerMax()
             [['-5532146515641651651321321064580/32453', '-1/2', '-1/99'], '-1/99'],
             [['1e-30', '123456789123456789123456789/2', 2e25], '123456789123456789123456789/2'],
             [['999/1000', '1'], '1'],
-            [[0, 0.9, -1.00], '9/10'],
-            [[0, 0.01, -1, -1.2], '1/100'],
-            [['1e-30', '15185185062185185062185185047/123', 2e25], '15185185062185185062185185047/123'],
-            [['1e-30', '15185185062185185062185185047/123', 2e26], '200000000000000000000000000'],
+            [[0, '0.9', -1.00], '9/10'],
+            [[0, '0.01', -1, '-1.2'], '1/100'],
+            [['1e-30', '15185185062185185062185185047/123', '2e25'], '15185185062185185062185185047/123'],
+            [['1e-30', '15185185062185185062185185047/123', '2e26'], '200000000000000000000000000'],
         ];
     }
 
@@ -224,12 +224,12 @@ public function providerSum()
     {
         return [
             [['-5532146515641651651321321064580/32453', '-1/2', '-1/99'], '-1095365010097047026961621574064593/6425694'],
-            [['1e-30', '123456789123456789123456789/2', 2e25], '163456789123456789123456789000000000000000000000000000002/2000000000000000000000000000000'],
+            [['1e-30', '123456789123456789123456789/2', '2e25'], '163456789123456789123456789000000000000000000000000000002/2000000000000000000000000000000'],
             [['999/1000', '1'], '1999/1000'],
-            [[0, 0.9, -1.00], '-1/10'],
-            [[0, 0.01, -1, -1.2], '-2190/1000'],
-            [['1e-30', '15185185062185185062185185047/123', 2e25], '17645185062185185062185185047000000000000000000000000000123/123000000000000000000000000000000'],
-            [['1e-30', '15185185062185185062185185047/123', 2e26], '39785185062185185062185185047000000000000000000000000000123/123000000000000000000000000000000'],
+            [[0, '0.9', -1.00], '-1/10'],
+            [[0, '0.01', -1, '-1.2'], '-2190/1000'],
+            [['1e-30', '15185185062185185062185185047/123', '2e25'], '17645185062185185062185185047000000000000000000000000000123/123000000000000000000000000000000'],
+            [['1e-30', '15185185062185185062185185047/123', '2e26'], '39785185062185185062185185047000000000000000000000000000123/123000000000000000000000000000000'],
         ];
     }