Discrete range/interval in siunitx
TeX - LaTeX Asked on April 3, 2021
Using siunitx, I can type $V = SIrange[range-phrase=text{ to },range-units=single]{100}{125}{kilomperhour}$ to get
However, numerically speaking, I have to specify the step of the range in order to know exactly each speed value I will do my calculations at.
Therefore, I would like to understand how to create a command, e.g. SIsteps, where it accepts the following arguments:
<start>,
<step> (optional and its default is 1) it can be integer or float,
<size> (optional) it is the total number of the elements in the range/interval
<end>, and
<unit>.
So, for example, all the following codes should have the same output of
The speed range is $V = SIsteps[step=5]{100}{125}{km}$
The speed range is $V = SIsteps[size=6]{100}{}{km}$
The speed range is $V = SIsteps[size=6]{}{125}{km}$
documentclass{article}
usepackage{unicode-math,siunitx}
sisetup{
load-configurations = abbreviations,
inter-unit-product = ensuremath{{hspace{-0.5ex}}cdot{hspace{-0.5ex}}}
}
setmathfont{Cambria Math}
begin{document}
The speed range is $V = left{100,105,ldots,125right}~si{kmperhour}$
end{document}
One Answer
The macro SIsteps has
- an optional argument for options to be passed to
num - a mandatory argument with options for the steps
- an optional argument with options for
si - a mandatory argument for the unit
As you requested, the default step is 1, but it can be specified either in the options or (following normal scope rules) with stepsetup.
The keys are
startto set the starting pointendto set the end pointstepto set the stepsizeto set the number of items to showfullto specify we want a full display of the values (default false)septo specify the separator between items (default comma)
You have better to specify two keys among start, end and size, but don't specify all three of them.
documentclass{article}
usepackage{siunitx,xfp}
sisetup{
load-configurations = abbreviations,
inter-unit-product = ensuremath{{cdot}}
}
ExplSyntaxOn
keys_define:nn { diaa/steps }
{
start .fp_set:N = l__diaa_steps_start_fp,
start .initial:n = -c_inf_fp,
end .fp_set:N = l__diaa_steps_end_fp,
end .initial:n = c_inf_fp,
step .fp_set:N = l__diaa_steps_step_fp,
step .initial:n = 1,
size .int_set:N = l__diaa_steps_size_int,
full .bool_set:N = l__diaa_steps_full_bool,
full .initial:n = false,
full .default:n = true,
sep .tl_set:N = l__diaa_steps_sep_tl,
sep .initial:n = {,},
}
NewDocumentCommand{SIsteps}{O{}mO{}m}
{
group_begin:
keys_set:nn { diaa/steps } { #2 }
int_compare:nT { l__diaa_steps_size_int > 0 }
{% size has been specified
fp_compare:nTF { l__diaa_steps_end_fp = c_inf_fp }
{% end has not been specified
fp_set:Nn l__diaa_steps_end_fp
{
l__diaa_steps_start_fp + (l__diaa_steps_size_int-1)*l__diaa_steps_step_fp
}
}
{% start has not been specified
fp_set:Nn l__diaa_steps_start_fp
{
l__diaa_steps_end_fp - (l__diaa_steps_size_int-1)*l__diaa_steps_step_fp
}
}
}
ensuremath
{
{
bool_if:NTF l__diaa_steps_full_bool
{% full display
fp_step_inline:nnnn
{ l__diaa_steps_start_fp } % start
{ l__diaa_steps_step_fp } % step
{ l__diaa_steps_end_fp - l__diaa_steps_step_fp } % end
{
num[#1]{ fp_eval:n { ##1 } } l__diaa_steps_sep_tl
}
num[#1]{ fp_eval:n { l__diaa_steps_end_fp } }
}
{% short display
num[#1]{ fp_eval:n { l__diaa_steps_start_fp } }
l__diaa_steps_sep_tl
num[#1]{ fp_eval:n { l__diaa_steps_start_fp + l__diaa_steps_step_fp } }
l__diaa_steps_sep_tl
dotsl__diaa_steps_sep_tl
num[#1]{ fp_eval:n { l__diaa_steps_end_fp } }
}
}
,si[#3]{#4}
}
group_end:
}
NewDocumentCommand{stepsetup}{m}
{
keys_set:nn { diaa/steps } { #1 }
}
ExplSyntaxOff
begin{document}
The speed range is $V = SIsteps{step=5,start=100,end=125}{kmperhour}$
The speed range is $V = SIsteps{size=6,start=100}{kmperhour}$ % step is one
The speed range is $V = SIsteps{size=6,start=100,step=5}{kmperhour}$
stepsetup{step=5}
The speed range is $V = SIsteps{size=6,end=125}{kmperhour}$
The speed range is $V = SIsteps{size=6,end=125,full,sep={;}}{kmperhour}$
end{document}
The explicit , between the brace and the unit might be l__siunitx_number_unit_product_tl, but this is an internal of siunitx and it's bad practice to use it. This might possibly be offered as a user level token list in the future.
You can also add support for angles (but not minutes and seconds, for that you'd be charged a thousand times).
documentclass{article}
usepackage{siunitx,xfp}
sisetup{
load-configurations = abbreviations,
inter-unit-product = ensuremath{{cdot}}
}
ExplSyntaxOn
keys_define:nn { diaa/steps }
{
start .fp_set:N = l__diaa_steps_start_fp,
start .initial:n = -c_inf_fp,
end .fp_set:N = l__diaa_steps_end_fp,
end .initial:n = c_inf_fp,
step .fp_set:N = l__diaa_steps_step_fp,
step .initial:n = 1,
size .int_set:N = l__diaa_steps_size_int,
full .bool_set:N = l__diaa_steps_full_bool,
full .initial:n = false,
full .default:n = true,
sep .tl_set:N = l__diaa_steps_sep_tl,
sep .initial:n = {,},
}
NewDocumentCommand{SIsteps}{O{}mO{}m}
{
group_begin:
diaa_sisteps:nnnnNn { #1 } { #2 } { #3 } { #4 }
num
{ l__siunitx_number_unit_product_tl si[#3]{#4} }
group_end:
}
NewDocumentCommand{anglesteps}{O{}mO{}}
{
group_begin:
diaa_sisteps:nnnnNn { #1 } { #2 } { #3 } { }
ang
{ }
group_end:
}
cs_new_protected:Nn diaa_sisteps:nnnnNn
{
keys_set:nn { diaa/steps } { #2 }
int_compare:nT { l__diaa_steps_size_int > 0 }
{% size has been specified
fp_compare:nTF { l__diaa_steps_end_fp = c_inf_fp }
{% end has not been specified
fp_set:Nn l__diaa_steps_end_fp
{
l__diaa_steps_start_fp + (l__diaa_steps_size_int-1)*l__diaa_steps_step_fp
}
}
{% start has not been specified
fp_set:Nn l__diaa_steps_start_fp
{
l__diaa_steps_end_fp - (l__diaa_steps_size_int-1)*l__diaa_steps_step_fp
}
}
}
ensuremath
{
{
bool_if:NTF l__diaa_steps_full_bool
{% full display
fp_step_inline:nnnn
{ l__diaa_steps_start_fp } % start
{ l__diaa_steps_step_fp } % step
{ l__diaa_steps_end_fp - l__diaa_steps_step_fp } % end
{
#5[#1]{ fp_eval:n { ##1 } } l__diaa_steps_sep_tl
}
#5[#1]{ fp_eval:n { l__diaa_steps_end_fp } }
}
{% short display
#5[#1]{ fp_eval:n { l__diaa_steps_start_fp } }
l__diaa_steps_sep_tl
#5[#1]{ fp_eval:n { l__diaa_steps_start_fp + l__diaa_steps_step_fp } }
l__diaa_steps_sep_tl
fp_compare:nT
{ (l__diaa_steps_end_fp-l__diaa_steps_start_fp)/l__diaa_steps_step_fp > 3 }
{ dotsl__diaa_steps_sep_tl }
#5[#1]{ fp_eval:n { l__diaa_steps_end_fp } }
}
}
#6
}
}
NewDocumentCommand{stepsetup}{m}
{
keys_set:nn { diaa/steps } { #1 }
}
ExplSyntaxOff
begin{document}
The speed range is $V = SIsteps{step=5,start=100,end=125}{kmperhour}$
The speed range is $V = SIsteps{size=6,start=100}{kmperhour}$ % step is one
The speed range is $V = SIsteps{size=6,start=100,step=5}{kmperhour}$
The speed range is $V = SIsteps{size=6,start=84.37,step=5}{kmperhour}$
stepsetup{step=5}
The speed range is $V = SIsteps{size=6,end=125}{kmperhour}$
The speed range is $V = SIsteps{size=6,end=125,full,sep={;}}{kmperhour}$
The speed range is $V = SIsteps{step=5,start=20,end=30}{kmperhour}$
stepsetup{step=1}
Angle ranges:
anglesteps{step=5,start=100,end=125}
anglesteps{size=6,start=100}
anglesteps{size=6,start=100,step=5}
anglesteps{size=6,start=84.37,step=5}
stepsetup{step=5}
anglesteps{size=6,end=125}
anglesteps{size=6,end=125,full,sep={;}}
anglesteps{step=5,start=20,end=30}
end{document}
Correct answer by egreg on April 3, 2021
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