\n",
"
\n",
" Force
\n",
- " 0.934 N
\n",
- " 0.055 N
\n",
+ " 0.934 N
\n",
+ " 0.055 N
\n",
" 27
\n",
" 0.70
\n",
" \n",
"
\n",
" Side B
\n",
- " 3.03 mm
\n",
- " 0.17 mm
\n",
+ " 3.03 mm
\n",
+ " 0.17 mm
\n",
" 8.2
\n",
" 0.68
\n",
" \n",
"
\n",
" Side A
\n",
- " 1.234 cm
\n",
+ " 1.234 cm
\n",
" 1.9%
\n",
" 20
\n",
" 0.22
\n",
" \n",
" \n",
" \n",
"
\n",
" P
\n",
- " 25.0 kPa
\n",
- " 2.1 kPa
\n",
+ " 25.0 kPa
\n",
+ " 2.1 kPa
\n",
" \n",
" \n",
- " \n",
" \n",
"
\n",
@@ -834,7 +834,7 @@
{
"data": {
"text/html": [
- "distance = 3.46(12) m with ν = 6"
+ "distance = 3.46(12) m with ν = 6"
],
"text/plain": [
"distance = 3.46(12) m with 6 degrees of freedom"
@@ -862,7 +862,7 @@
{
"data": {
"text/html": [
- "velocity = 0.778(48) m/s with ν = 8.2"
+ "velocity = 0.778(48) m/s with ν = 8.2"
],
"text/plain": [
"velocity = 0.778(48) m/s with 8.2 degrees of freedom"
@@ -893,7 +893,7 @@
{
"data": {
"text/html": [
- "velocity = 0.778(47)(9) m/s"
+ "velocity = 0.778(47)(9) m/s"
],
"text/plain": [
"velocity = 0.778(47)(9) m/s"
@@ -1083,7 +1083,7 @@
{
"data": {
"text/html": [
- "6.534 cm"
+ "6.534 cm"
],
"text/plain": [
"6.534 cm"
@@ -1110,7 +1110,7 @@
{
"data": {
"text/html": [
- "6.4008 cm2"
+ "6.4008 cm2"
],
"text/plain": [
"6.4008 cm²"
@@ -1142,10 +1142,10 @@
{
"data": {
"text/html": [
- "2.572 440 944 88 in"
+ "2.572 440 944 881 89 in"
],
"text/plain": [
- "2.572 440 944 88 in"
+ "2.572 440 944 881 89 in"
]
},
"execution_count": 24,
@@ -1167,10 +1167,10 @@
{
"data": {
"text/html": [
- "0.992 125 984 252 in2"
+ "0.992 125 984 251 968 5 in2"
],
"text/plain": [
- "0.992 125 984 252 in²"
+ "0.992 125 984 251 968 5 in²"
]
},
"execution_count": 25,
@@ -1199,7 +1199,7 @@
{
"data": {
"text/html": [
- "8 °C"
+ "8 °C"
],
"text/plain": [
"8 °C"
@@ -1256,7 +1256,7 @@
{
"data": {
"text/html": [
- "8 K"
+ "8 K"
],
"text/plain": [
"8 K"
@@ -1310,7 +1310,7 @@
{
"data": {
"text/html": [
- "300.15 K"
+ "300.15 K"
],
"text/plain": [
"300.15 K"
@@ -1343,47 +1343,50 @@
"outputs": [
{
"data": {
+ "text/html": [
+ "Uc at k = 2.0
\n",
" 4.1 kPa
\n",
+ " 4.1 kPa
\n",
" - \n",
+ "
- angstrom, 1 Å = 1 × 10-10 m, alias: Å \n", + "
- astronomical unit, 1 au = 1.495 978 707 × 1011 m, aliases: au, ua \n", + "
- bohr, 1 a0 = 5.291 772 106 8(12) × 10-11 m, aliases: a0, a(0) \n", + "
- cable, 1 cb = 120 ftm, alias: cb \n", + "
- chain, 1 ch = 4 rd, alias: ch \n", + "
- fathom, 1 ftm = 2 yd, alias: ftm \n", + "
- foot, 1 ft = 12 in, alias: ft \n", + "
- furlong, 1 fur = 10 ch, alias: fur \n", + "
- hand, 1 hand = 4 in \n", + "
- inch (1 prefix), 1 in = 0.0254 m, alias: in \n", + "
- league, 1 lea = 3 mi, alias: lea \n", + "
- light hour, 1 light-hour = 1 h c, alias: light-hour \n", + "
- light minute, 1 light-minute = 1 min c, alias: light-minute \n", + "
- light second, 1 light-second = 1 c s, alias: light-second \n", + "
- light year, 1 ly = 1 a c, alias: ly \n", + "
- link, 1 li = 0.66 ft, alias: li \n", + "
- metre (20 prefixes), symbol: m, aliases: m, meter \n", + "
- mile, 1 mi = 1760 yd, alias: mi \n", + "
- nautical mile, 1 M = 1852 m, aliases: M, Nm, NM, nmi \n", + "
- parsec (3 prefixes), 1 pc = 206 264.806 247 096 36 au, alias: pc \n", + "
- pica, 1 P/ = 1/6 in, alias: P/ \n", + "
- Planck length, 1 lP = 1.616 228(38) × 10-35 m, alias: l(P) \n", + "
- point, 1 p = 1/12 P/, alias: p \n", + "
- rack unit, 1 U = 1.75 in \n", + "
- reduced compton wavelength, 1 ƛC = 1 ℏ/(me c), aliases: lambda(C), ƛ(C) \n", + "
- rod, 1 rd = 25 ft, alias: rd \n", + "
- siriometer, 1 Sm = 1 000 000 au \n", + "
- survey foot, 1 ft = 1200/3937 m \n", + "
- survey mile, 1 mi = 8 fur, alias: statute mile \n", + "
- thousandth of an inch, 1 mil = 0.001 in, aliases: mil, thou, thousandth \n", + "
- yard, 1 yd = 3 ft, alias: yd
best fit parameters:
p1 = 1.7(19) m
p2 = -1.9(20) m/s
p3 = 1.37(43) m/s2
" + "y = p1 + p2 x + p3 x2
best fit parameters:
p1 = 1.7(19) m
p2 = -1.9(20) m/s
p3 = 1.37(43) m/s2
" ], "text/plain": [ "y = p(1) + p(2)*x + p(3)*x**2\n", @@ -1679,7 +1693,7 @@ "data": { "image/png": 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kZkjqYGA0UAg4C9QhcTe1pukTmhAiI1x6cInuG7tz+eFlJtafyE+Nf3rtrmbe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\nrkJggg==\n", "text/plain": [ - "
tutorial¶
Out[2]:
@@ -11875,7 +11875,7 @@ tutorial¶
Out[3]:
@@ -11915,7 +11915,7 @@ tutorial¶
Out[4]:
@@ -11954,7 +11954,7 @@ tutorial¶
Out[5]:
@@ -11993,7 +11993,7 @@ propagating uncertaintyOut[6]:
@@ -12089,7 +12089,7 @@ propagating uncertaintyOut[9]:
@@ -12167,7 +12167,7 @@ propagating uncertaintyOut[11]:
@@ -12206,7 +12206,7 @@ propagating uncertaintyOut[12]:
@@ -12235,7 +12235,7 @@ propagating uncertaintyOut[13]:
@@ -12298,198 +12298,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12501,161 +12496,158 @@ Monte-Carlo uncertainty propagation
@@ -12666,194 +12658,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12895,7 +12886,7 @@ expanded uncertaintyOut[15]:
@@ -12997,36 +12988,36 @@ an uncertainty budget
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
- 4.1 kPa
+ 4.1 kPa
@@ -13211,7 +13202,7 @@ degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[9]:
@@ -12167,7 +12167,7 @@ propagating uncertaintyOut[11]:
@@ -12206,7 +12206,7 @@ propagating uncertaintyOut[12]:
@@ -12235,7 +12235,7 @@ propagating uncertaintyOut[13]:
@@ -12298,198 +12298,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12501,161 +12496,158 @@ Monte-Carlo uncertainty propagation
@@ -12666,194 +12658,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12895,7 +12886,7 @@ expanded uncertaintyOut[15]:
@@ -12997,36 +12988,36 @@ an uncertainty budget
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
- 4.1 kPa
+ 4.1 kPa
@@ -13211,7 +13202,7 @@ degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[12]:
@@ -12235,7 +12235,7 @@ propagating uncertaintyOut[13]:
@@ -12298,198 +12298,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12501,161 +12496,158 @@ Monte-Carlo uncertainty propagation
@@ -12666,194 +12658,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12895,7 +12886,7 @@ expanded uncertaintyOut[15]:
@@ -12997,36 +12988,36 @@ an uncertainty budget
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
- 4.1 kPa
+ 4.1 kPa
@@ -13211,7 +13202,7 @@ degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
-
@@ -12501,161 +12496,158 @@
Monte-Carlo uncertainty propagation
@@ -12666,194 +12658,193 @@ Monte-Carlo uncertainty propagation
-
@@ -12895,7 +12886,7 @@ expanded uncertaintyOut[15]:
@@ -12997,36 +12988,36 @@ an uncertainty budget
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
- 4.1 kPa
+ 4.1 kPa
@@ -13211,7 +13202,7 @@ degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
-
@@ -12895,7 +12886,7 @@
expanded uncertaintyOut[15]:
@@ -12997,36 +12988,36 @@ an uncertainty budget
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
- 4.1 kPa
+ 4.1 kPa
@@ -13211,7 +13202,7 @@ degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Force
- 0.934 N
- 0.055 N
+ 0.934 N
+ 0.055 N
27
0.70
Side B
- 3.03 mm
- 0.17 mm
+ 3.03 mm
+ 0.17 mm
8.2
0.68
Side A
- 1.234 cm
+ 1.234 cm
1.9%
20
0.22
P
- 25.0 kPa
- 2.1 kPa
+ 25.0 kPa
+ 2.1 kPa
Uc at k = 2.0
4.1 kPa
+ 4.1 kPa
degrees of freedom and uncerta
Out[18]:
@@ -13245,7 +13236,7 @@ degrees of freedom and uncerta
Out[19]:
@@ -13275,7 +13266,7 @@ degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[18]:
Out[19]:
degrees of freedom and uncerta
Out[20]:
@@ -13466,7 +13457,7 @@ units and mathematical operationsOut[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[20]:
Out[22]:
@@ -13494,7 +13485,7 @@ units and mathematical operationsOut[23]:
@@ -13532,7 +13523,7 @@ units and mathematical operationsOut[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[24]:
@@ -13560,7 +13551,7 @@ units and mathematical operationsOut[25]:
@@ -13602,7 +13593,7 @@ units and mathematical operationsOut[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[26]:
@@ -13669,7 +13660,7 @@ units and mathematical operationsOut[28]:
@@ -13736,7 +13727,7 @@ units and mathematical operationsOut[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
Out[30]:
@@ -13760,7 +13751,7 @@ built-in and user defined unitsIn [31]:
-uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
@@ -14013,7 +14004,18 @@ applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
@@ -15027,7 +15029,7 @@ formatting¶Out[54]:
@@ -15255,7 +15257,7 @@ floating point rounding errors
-The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
+The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
@@ -15317,6 +15319,34 @@ floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
-
@@ -14013,7 +14004,18 @@ applying numerical functions to
@@ -15027,7 +15029,7 @@ uc.search_units('length')
+uc.search_units('length',fmt='html')
# uc.search_units() with no argument displays all loaded units
@@ -13772,41 +13763,41 @@ built-in and user defined units
-Out[31]:
-
+
-
@@ -13883,7 +13874,7 @@ built-in and user defined unitsOut[33]:
@@ -13911,7 +13902,7 @@ built-in and user defined unitsOut[34]:
@@ -14003,7 +13994,7 @@ applying numerical functions to
-
The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied:
+The apply static method can also be used to apply a arbitrary numerical function to a gummy or several gummys. The apply method takes as its first parameter the function, which must take one or more float parameters and return a float or list or numpy.ndarray of floats. The second parameter is another function which gives the derivative of the first function. The remaining parameters are the gummy(s) or float(s) to which the function will be applied. We also demonstrate here that gummy can be used with the mpmath package to work with extended precision floating point types:
applying numerical functions to
In [37]:
-from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
@@ -14696,7 +14698,7 @@ formatting¶Out[45]:
@@ -14868,7 +14870,7 @@ formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
-
@@ -14696,7 +14698,7 @@ formatting¶
@@ -14868,7 +14870,7 @@ from math import sin, cos
+from mpmath import sin, cos, mpf, mp
+
+mp.dps = 50
+# set mpmath to a precision of 50 digits
+
+uc.gummy.max_digits = 50
+# by default gummy doesn't display more than 15 digits;
+# this option does not affect the working precision only
+# the display
+
+a = uc.gummy(mpf('1/3'),mpf('2.2e-45'))
+
uc.gummy.apply(sin,cos,a)
@@ -14028,7 +14030,7 @@ applying numerical functions to
Out[37]:
@@ -14066,7 +14068,7 @@ applying numerical functions to
Out[38]:
@@ -14120,7 +14122,7 @@ curve fittingOut[39]:
formatting¶Out[45]:
formatting¶
-'<span>1.37(43) m/s<sup>2</sup></span>'
+'<span>1.37(43) m/s<sup>2</sup></span>'
formatting¶Out[54]:
-
@@ -15317,6 +15319,34 @@ The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. So this can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The rounding_u option simply adds and an uncertainty proportional to the machine epsilon whenever a gummy is created with a floating point data type and then propagates this uncertainty like any other uncertainty. This feature is experimental and perhaps can give some idea of the magnitude of the floating point errors, but is not a substitute for a full numerical error analysis.
The gummy object recognizes that integer and Faction values do not need an uncertainty component to account for rounding:
floating point rounding errors
+
+In [63]:
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+
+
+
+
+Out[63]:
+
+
+
+
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
back to the MetroloPy documentation home page
-MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@ MetroloPy built-in units
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
In [63]:
+
+
+
+
+
+
+uc.gummy(3)/uc.gummy(7)
+
+
+
+
+
+
+Out[63]:
+
+
+
+
diff --git a/docs/_build/html/_static/units.html b/docs/_build/html/_static/units.html
index f5965c8..36d0a71 100644
--- a/docs/_build/html/_static/units.html
+++ b/docs/_build/html/_static/units.html
@@ -11753,7 +11753,7 @@
-
diff --git a/docs/_build/html/genindex.html b/docs/_build/html/genindex.html
index 5f7c038..4be876a 100644
--- a/docs/_build/html/genindex.html
+++ b/docs/_build/html/genindex.html
@@ -7,7 +7,7 @@
- Index — metrolopy 0.5 documentation
+ Index — metrolopy 0.5.1rc1 documentation
@@ -15,7 +15,7 @@
back to the MetroloPy documentation home page
-
MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*' or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
+MetroloPy built-in units¶
Units can be referenced by both name and alias. If a unit name or alias contains a space, '*', or '/' character then the name must be enclosed in square brackets, e.g: '[light year]'. If a unit name or alias contains parentheses and the text inside the parentheses can be interpreted as a Unit then the name must also be enclosed in square brackets. Units can be combined into derived units: spaces or the character '*' represent multiplication, the character '/' represents division and the string '**' represents the power operator. An example of a derived unit reference is 'kg m**2/s' which is equivalent to 'kilogram*metre*metre*second**-1' and to '(kg/s)*m**2'.
Users can also define custom units by creating instances of the Unit class or a sub-class.
The search_units function can list all available units:
@@ -11780,211 +11780,212 @@