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use crate::{MStats, Med, Stats, functions::wsum, here}; use anyhow::{ensure, Result}; pub use indxvec::merge::sortm; impl Stats for &[f64] { /// Arithmetic mean of an f64 slice /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().amean().unwrap(),7.5_f64); /// ``` fn amean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!",here!()); Ok(self.iter().sum::<f64>() / (n as f64)) } /// Arithmetic mean and (population) standard deviation of an f64 slice /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// let res = v1.as_slice().ameanstd().unwrap(); /// assert_eq!(res.mean,7.5_f64); /// assert_eq!(res.std,4.031128874149275_f64); /// ``` fn ameanstd(self) -> Result<MStats> { let n = self.len(); ensure!(n > 0, "{} sample is empty!",here!()); let mut sx2 = 0_f64; let mean = self .iter() .map(|&x| { sx2 += x * x; x }) .sum::<f64>() / (n as f64); Ok(MStats { mean: mean, std: (sx2 / (n as f64) - mean.powi(2)).sqrt(), }) } /// Linearly weighted arithmetic mean of an f64 slice. /// Linearly descending weights from n down to one. /// Time dependent data should be in the stack order - the last being the oldest. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().awmean().unwrap(),5.333333333333333_f64); /// ``` fn awmean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut iw = (n + 1) as f64; // descending linear weights Ok(self .iter() .map(|&x| { iw -= 1.; iw * x }) .sum::<f64>() / wsum(n)) } /// Liearly weighted arithmetic mean and standard deviation of an f64 slice. /// Linearly descending weights from n down to one. /// Time dependent data should be in the stack order - the last being the oldest. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// let res = v1.as_slice().awmeanstd().unwrap(); /// assert_eq!(res.mean,5.333333333333333_f64); /// assert_eq!(res.std,3.39934634239519_f64); /// ``` fn awmeanstd(self) -> Result<MStats> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut sx2 = 0_f64; let mut w = n as f64; // descending linear weights let mean = self .iter() .map(|&x| { let wx = w * x; sx2 += wx * x; w -= 1_f64; wx }) .sum::<f64>() / wsum(n); Ok(MStats { mean: mean, std: (sx2 / wsum(n) - mean.powi(2)).sqrt(), }) } /// Harmonic mean of an f64 slice. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().hmean().unwrap(),4.305622526633627_f64); /// ``` fn hmean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut sum = 0_f64; for &x in self { ensure!( x.is_normal(),"{} does not accept zero valued data!",here!()); sum += 1.0 / x } Ok(n as f64 / sum) } /// Linearly weighted harmonic mean of an f64 slice. /// Linearly descending weights from n down to one. /// Time dependent data should be in the stack order - the last being the oldest. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().hwmean().unwrap(),3.019546395306663_f64); /// ``` fn hwmean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut sum = 0_f64; let mut w = n as f64; for &x in self { ensure!(x.is_normal(),"{} does not accept zero valued data!",here!()); sum += w / x; w -= 1_f64; } Ok(wsum(n) / sum) } /// Geometric mean of an i64 slice. /// The geometric mean is just an exponential of an arithmetic mean /// of log data (natural logarithms of the data items). /// The geometric mean is less sensitive to outliers near maximal value. /// Zero valued data is not allowed. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().gmean().unwrap(),6.045855171418503_f64); /// ``` fn gmean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut sum = 0_f64; for &x in self { ensure!( x.is_normal(),"{} does not accept zero valued data!",here!()); sum += x.ln() } Ok((sum / (n as f64)).exp()) } /// Linearly weighted geometric mean of an i64 slice. /// Descending weights from n down to one. /// Time dependent data should be in the stack order - the last being the oldest. /// The geometric mean is just an exponential of an arithmetic mean /// of log data (natural logarithms of the data items). /// The geometric mean is less sensitive to outliers near maximal value. /// Zero data is not allowed - would at best only produce zero result. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// assert_eq!(v1.as_slice().gwmean().unwrap(),4.144953510241978_f64); /// ``` fn gwmean(self) -> Result<f64> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut w = n as f64; // descending weights let mut sum = 0_f64; for &x in self { ensure!(x.is_normal(),"{} does not accept zero valued data!",here!()); sum += w * x.ln(); w -= 1_f64; } Ok((sum / wsum(n)).exp()) } /// Geometric mean and std ratio of an f64 slice. /// Zero valued data is not allowed. /// Std of ln data becomes a ratio after conversion back. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// let res = v1.as_slice().gmeanstd().unwrap(); /// assert_eq!(res.mean,6.045855171418503_f64); /// assert_eq!(res.std,2.1084348239406303_f64); /// ``` fn gmeanstd(self) -> Result<MStats> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut sum = 0_f64; let mut sx2 = 0_f64; for &x in self { ensure!(x.is_normal(),"{} does not accept zero valued data!",here!()); let lx = x.ln(); sum += lx; sx2 += lx * lx } sum /= n as f64; Ok(MStats { mean: sum.exp(), std: (sx2 / (n as f64) - sum.powi(2)).sqrt().exp(), }) } /// Linearly weighted version of gmeanstd. /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// let res = v1.as_slice().gwmeanstd().unwrap(); /// assert_eq!(res.mean,4.144953510241978_f64); /// assert_eq!(res.std,2.1572089236412597_f64); /// ``` fn gwmeanstd(self) -> Result<MStats> { let n = self.len(); ensure!(n > 0, "{} sample is empty!", here!()); let mut w = n as f64; // descending weights let mut sum = 0_f64; let mut sx2 = 0_f64; for &x in self { ensure!(x.is_normal(),"{} does not accept zero valued data!",here!()); let lnx = x.ln(); sum += w * lnx; sx2 += w * lnx * lnx; w -= 1_f64; } sum /= wsum(n); Ok(MStats { mean: sum.exp(), std: (sx2 as f64 / wsum(n) - sum.powi(2)).sqrt().exp(), }) } /// Median of an f64 slice /// # Example /// ``` /// use rstats::Stats; /// let v1 = vec![1_f64,2.,3.,4.,5.,6.,7.,8.,9.,10.,11.,12.,13.,14.]; /// let res = v1.as_slice().median().unwrap(); /// assert_eq!(res.median,7.5_f64); /// assert_eq!(res.lquartile,4.25_f64); /// assert_eq!(res.uquartile,10.75_f64); /// ``` fn median(self) -> Result<Med> { let gaps = self.len()-1; let mid = gaps / 2; let quarter = gaps / 4; let threeq = 3 * gaps / 4; let v = sortm(self,true); let mut result: Med = Default::default(); result.median = if 2*mid < gaps { (v[mid] + v[mid + 1]) / 2.0 } else { v[mid] }; match gaps % 4 { 0 => { result.lquartile = v[quarter]; result.uquartile = v[threeq]; return Ok(result) }, 1 => { result.lquartile = (3.*v[quarter] + v[quarter+1]) / 4.; result.uquartile = (v[threeq] + 3.*v[threeq+1]) / 4.; return Ok(result) }, 2 => { result.lquartile = (v[quarter]+v[quarter+1]) / 2.; result.uquartile = (v[threeq] + v[threeq+1]) / 2.; return Ok(result) }, 3 => { result.lquartile = (v[quarter] + 3.*v[quarter+1]) / 4.; result.uquartile = (3.*v[threeq] + v[threeq+1]) / 4. }, _ => { } } Ok(result) } /* /// Returns vector of f64 ranks; /// ranked from the smallest number in self (rank 0) to the biggest (rank n-1). /// Equalities lead to fractional ranks, hence Vec<f64> output and the range of rank values is reduced. /// Has complexity n*(n-1)/2. Use `mergerank` for long lists. fn ranks(self) -> Result<Vec<f64>> { let n = self.len(); let mut rank = vec![0_f64; n]; // make all n*(n-1)/2 comparisons just once for i in 1..n { let x = self[i]; for j in 0..i { if x > self[j] { rank[i] += 1_f64; continue; }; if x < self[j] { rank[j] += 1_f64; continue; }; rank[i] += 0.5; rank[j] += 0.5; } } Ok(rank) } /// Returns vector of i64 ranks; /// ranked from the smallest number in self (rank 0) to the biggest (rank n-1). fn iranks(self) -> Result<Vec<i64>> { let n = self.len(); let mut rank = vec![0_i64; n]; // make each of n*(n-1)/2 comparisons just once for i in 1..n { let x = self[i]; for j in 0..i { if x > self[j] { rank[i] += 1_i64; // demoting i } else if x < self[j] { rank[j] += 1_i64; // demoting j }; // items are equal, not demoting any } } Ok(rank) } */ }